Find the slope of the line passing through points q(8, 7) and p(4, 1).

Answers

Answer 1
The formula to find slope is (y2-y2)/(x2-x1)

You can remember it like this: "If you want to be wise, remember rise over run, which is y's over x's."

The next step is to determine which point is (x1,y1) and which is (x2,y2).
We do this by determining which point has the biggest x value: (8,7)

Now we plug it into the formula: (8-4)/(7-1) 
Simplify and we get: 4/6 or 2/3

Voila! You have your slope: 2/3

Hope this helps, and May the Force Be With You.


Answer 2

Hi there! :)

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{1-7}{4-8}=\frac{-6}{-4}=\frac{-6/2}{-4/2}=\frac{-3}{-2}=\frac{3}{2}[/tex]

Slope is 3/2.

Final answer is 3/2.

Hope this helps!

Thanks!

Have a nice day! :)

:D


Related Questions

At Billy‘s preschool they have bicycles and tricycles with a total of 57 wheels. The number of bicycles is three less than three times the number of tricycles. How many of each are there?

Answers

Use b for bicycles b and t for tricycles.

We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the 

equation would be: 2b + 3t = 57

We can "separate" b by calling it "25 - t" as an alternative, 

2(25 - t) + 3t = 57, or

50 - 2t + 3t = 57,

or 50 + t = 57, so

t = 7 So there must be 18 bicycles and 7 tricycles.

CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21,

and 18 bicycles x 2 wheels, which is 36

36 + 21 = 57

which expression is equivalent to (f+g)(4)?

Answers

An equivalent expression to (f+g)(4) would be 4f + 4g

Answer:

a.

Step-by-step explanation:

took quiz


Calculate 6.75% tax on $2,305

Answers

2305x0.0675=155.5875

There are 5 red socks, 2 white socks and 3 blue socks in a basket.  What is the probability of picking a pair of red socks?

Answers

First there are 10 socks in total and there are five red socks. The probability is 5/10 or 1/2.

The probability of picking a pair of red socks is 1/5.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, There are 5 red socks, 2 white socks and 3 blue socks in a basket.

So, The no. of sample space N(S) = 5 + 2 + 3 = 10.

Now pair of red socks means 2 red socks let it be N(A).

∴ The probability of picking a pair of red socks P(A) = N(A)/N(S).

P(A) = 2/10.

P(A) = 1/5.

learn more about probability here :

https://brainly.com/question/743546

#SPJ2

Complete the following multiplication problems. a. 0.34 × 6 b. 0.11 × 4 c. 17 × 0.07 d. 28 × 0.003 e. 3.8 × 5 f. 5.931 × 7 g. 14.07 × 13 h. 3.005 × 32 i. 0.8 × 0.3 j. 0.45 × 0.05 k. 0.09 × 0.02 l. 0.074 × 0.08 m. 2.3 × 0.9 n. 7.25 × 0.3 o. 4.53 × .003 p. 53.67 × 0.056 q. 1.1 × 3.7 r. 3.76 × 18.9 s. 4.57 × 6.1 t. 24.13 × 1.48

Answers

a. 2.04
b .44
c.1.19
d .084
e. 19
f. 41.517
g.182.91
h. 96.16
i. .24
j. .0225
k. .0018
l. .00592
m.2.07
n. 2.175
o. .01359
p. 3.00552
q. 4.07
r. 71.064
s. 27.877
t. 35.7124

Answer with Step-by-step explanation:

a. 0.34 × 6=2.04

b. 0.11 × 4=0.44

c. 17 × 0.07=1.19

d. 28 × 0.003= 0.084

e. 3.8 × 5=19

f. 5.931 × 7=41.517

g. 14.07 × 13=182.91

h. 3.005 × 32=96.16

i. 0.8 × 0.3=0.24

j. 0.45 × 0.05=0.0225

k. 0.09 × 0.02=0.0018

l. 0.074 × 0.08=0.00592

m. 2.3 × 0.9=2.07

n. 7.25 × 0.3=2.175

o. 4.53 × .003=0.01359

p. 53.67 × 0.056=3.00552

q. 1.1 × 3.7 =4.07

r. 3.76 × 18.9 =71.064

s. 4.57 × 6.1 =27.877

t. 24.13 × 1.48=35.7124

Mikw earned %ll.76 per hour for working 23.5 hours last week. how much money did mike earn last week?\

Answers

    276.36 should  be the answer 

what is the length of the side opposite the 30 degrees angle?

Answers

The length of the side opposite the[tex]\( 30^\circ \)[/tex] angle is 22 units.

To find the length of the side opposite the \( 30^\circ \) angle in a right triangle with a hypotenuse of 44, we can use the sine function:

1. Identify the Known Angle and Hypotenuse: We have an angle of[tex]\( 30^\circ \)[/tex] and a hypotenuse of 44.

2. Use the Sine Function: Since sine relates the opposite side and the hypotenuse in a right triangle, we use the sine function for the [tex]\( 30^\circ \)[/tex] angle.

[tex]\[ \sin(30^\circ) = \frac{\text{opposite}}{44} \][/tex]

3. Sine of 30 Degrees: The sine of [tex]\( 30^\circ \)[/tex] is a known value, which is [tex]\( \frac{1}{2} \).[/tex]

4. Calculate the Opposite Side: Use the sine value to find the opposite side:

[tex]\[ \text{opposite} = 44 \cdot \sin(30^\circ) = 44 \cdot \frac{1}{2} \][/tex]

5. Result: The length of the side opposite the[tex]\( 30^\circ \)[/tex] angle is therefore:

[tex]\[ \text{opposite} = 22 \][/tex]

p: x – 5 =10 q: 4x + 1 = 61 Which is the inverse of p → q?
a- If x – 5 ≠ 10, then 4x + 1 ≠ 61.
b- If 4x + 1 ≠ 61, then x – 5 ≠ 10.
c-If x – 5 = 10, then 4x + 1 = 61.
d- If 4x + 1 = 61, then x – 5 = 10.

Answers

The inverse is b.  If 4x+1 .NE. 61, then x-5 .NE.10

Answer:  the correct option is

(a) If x – 5 ≠ 10, then 4x + 1 ≠ 61.

Step-by-step explanation:  We are given to select the correct inverse of the conditional statement p → q if

p : x – 5 =10  and  q : 4x + 1 = 61.

We know that

the inverse of a conditional statement p → q is given by "not p → not q".

Therefore, the inverse of the given statement is

not p → not q

that is, if  x – 5 ≠ 10, then 4x + 1 ≠ 61.

Thus, the required inverse is " x – 5 ≠ 10, then 4x + 1 ≠ 61."

Option (a) is CORRECT.

Item 19 Question 1 A furniture store is having a sale where everything is 40% off. a. Write a function that represents the amount of discount dd on an item with a regular price pp.

Answers

whatever% of anything is just (whatever/100) * anything.

therefore, if an item has been discounted by 40%, the discounte is that 40%, what is 40% of the price "p"?  (40/100) * p or 0.4p.

[tex]\bf \stackrel{discount}{d}=0.4\stackrel{original~price}{p}[/tex]

To calculate the discount amount on an item with a regular price during a sale of 40% off, use the function d(p) = 0.40 x p.

The question involves creating a mathematical function to calculate the amount of discount during a sale. The store is offering a 40% discount on items, so to find the discount amount d on an item with a regular price p, we can write the function as d(p) = 0.40 * p. Here, p represents the regular price of the item, and d represents the discount amount in dollars that will be subtracted from the regular price.

What is 3.56 x 10^-5 in standard form?

What is the solution to (4 x 10^4) x (3 10^4) write in scientific notation.

A player has 31 hits in 117 times at bat. What is the players average as a decimal? Round to the nearest thousandth.

Answers

Well here is your first part...

3.56×10^-5

Its negative so go to the left:

=.00000356

Here is your second part...

4×10^4×3×10^4

There both positive so go to the right

=40000 =30000

Then you multiply....

40000×30000=

= 1200000000

Here's your third part...

You need to divide 31 by 117

31÷117=

=0.2650%


a sprinter starts from rest, and accelerates at 1.87 m/s2 over a distance of 14.0 m. what is her final velocity

Answers

the correct answer is 7.24a(t) = 1.87v(t) = 1.87tx(t) = 1.87 / 2 t^2final velocity = time, when x(t) = 14so, 1.87 / 2 t^2 = 14tƒ = √28 / 1.87vƒ = 1.87 * √28 / 1.87I got this answer from another person and it helped me so hopefully it helps someone else too!!

The final velocity of the sprinter is 7.23 meters per second.

What is acceleration?

Acceleration of any object is defined as the variation in the speed of the object with the variation of time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of acceleration can be m / sec², miles / sec², etc.

Given that a sprinter starts from rest, and accelerates at 1.87 m/s² over a distance of 14.0 m.

The final velocity will be calculated by the equation of the motion formula as below,

V² = u² + 2as

V² = 2 x 1.87 x 14

V² = 52.36

V = √52.36

V = 7.23 meter per second

Hence, the final velocity is 7.23 meters per second.

To know more about acceleration follow

brainly.com/question/460763

#SPJ2

Factor completely: x4 + 8x2 + 16

Answers

Final answer:

The expression x⁴ + 8x² + 16 is a perfect square trinomial and it can be factored completely as (x² + 4)².

Explanation:

To factor completely the expression x⁴ + 8x² + 16, we should first recognize that this is a perfect square trinomial. A perfect square trinomial takes the form a² + 2ab + b², and can be factored into (a + b)².

Comparing our given expression to the perfect square trinomial, we see that x⁴ is the square of x² and 16 is the square of 4. Moreover, 8x² is twice the product of x² and 4, suggesting that the expression is indeed, a perfect square. Thus, we can factor it as:

(x² + 4)²

In conclusion, the expression x⁴ + 8x² + 16 can be factored completely as (x² + 4)².

Final answer:

To factor the expression [tex]x^4 + 8x^2 + 16[/tex] t is a perfect square trinomial.

Explanation:

To factor the expression [tex]x^4 + 8x^2 + 16[/tex] t is a perfect square trinomial of the form [tex]a^2 + 2ab + b^2[/tex]. The square root of the first term is [tex]x^2[/tex] the square root of the last term is 4, and twice the product of these square roots is [tex]8x^2[/tex], which matches the middle term of the given expression. Therefore, we can rewrite the expression as [tex](x^2 + 4)^2[/tex]. This is the completely factored form of the expression.[tex]a^2 + 2ab + b^2[/tex]

For her tutoring services, Thuy charged Demi $10 per hour and $8 for books and supplies. Demi paid a total of $48.00. Which equation represents this situation?

Answers

The equation representing this situation is expressed as [tex]\[ 10h + 8 = 48 \][/tex] and

Demi received 4 hours of tutoring services.

Let's denote the number of hours Demi received tutoring services as [tex]\( h \).[/tex]

The equation representing this situation can be expressed as:

[tex]\[ 10h + 8 = 48 \][/tex]

Now, let's solve for [tex]\( h \):[/tex]

[tex]\[ 10h = 48 - 8 \][/tex]

[tex]\[ 10h = 40 \][/tex]

[tex]\[ h = \frac{40}{10} \][/tex]

[tex]\[ h = 4 \][/tex]

So, Demi received 4 hours of tutoring services.

To find the equation representing the situation, we need to consider the total cost Demi paid. She paid $10 per hour for tutoring services, so the cost for the tutoring service itself is [tex]\( 10h \),[/tex] where [tex]\( h \)[/tex] represents the number of hours of tutoring. Additionally, she paid $8 for books and supplies, which is a fixed cost regardless of the number of hours. Therefore, we add $8 to the cost equation. This gives us [tex]\( 10h + 8 = 48 \).[/tex]

Next, we solve this equation to find the value of [tex]\( h \),[/tex] which represents the number of hours of tutoring. We subtract 8 from both sides to isolate the term [tex]\( 10h \),[/tex] giving us[tex]\( 10h = 40 \)[/tex]. Then, we divide both sides by 10 to solve for [tex]\( h \),[/tex] which gives us[tex]\( h = \frac{40}{10} = 4 \).[/tex]

So, Demi received 4 hours of tutoring services.

Complete question:

For her tutoring services, Thuy charged Demi $10 per hour and $8 for books and supplies. Demi paid a total of $48.00. Which equation represents this situation?

Which of the following is a solution to the equation y=3x - 1?

A. (4, 1)
B. (2, 5)
C. (4, 3)
D. (0, -3)
--------------------------------
2. Which equation matches the statement "The sum of -4x and 2 is 9"?

A. -4x + 2 = 9
B. -4x + 9 = 2
C. -4x(2) = 9
D. -4x - 2 =9
--------------------------------
3. Solve x - 6 = -18

A. X = -24
B. X = -12
C. X = 12
D. X = 6
--------------------------------
4. Solve 4x + 3 = 47

A. X= 11
B. X= 40
C. X= 44
D. X= 50
--------------------------------

Answers

The answers are the following
1.  B 
2. A
3. B
4. A

Solution to y = 3x - 1: B. (2, 5)

Matching equation for "The sum of -4x and 2 is 9": A. -4x + 2 = 9

Solve x - 6 = -18: A. x = -12

Solve 4x + 3 = 47: A. x = 11

Let's solve each of the given equations one by one:

Solution to y = 3x - 1:

The equation y = 3x - 1 represents a linear relationship between x and y with a slope of 3 and a y-intercept of -1. To find the solution, we can substitute the given options for x and see which one satisfies the equation:

A. (4, 1): 1 = 3(4) - 1 => 1 = 12 - 1 => 1 = 11 (Not a solution)

B. (2, 5): 5 = 3(2) - 1 => 5 = 6 - 1 => 5 = 5 (This is a solution)

C. (4, 3): 3 = 3(4) - 1 => 3 = 12 - 1 => 3 = 11 (Not a solution)

D. (0, -3): -3 = 3(0) - 1 => -3 = 0 - 1 => -3 = -1 (Not a solution)

So, the solution is B. (2, 5).

Matching equation for "The sum of -4x and 2 is 9":

The statement can be translated into the equation: -4x + 2 = 9. So, the correct equation is A. -4x + 2 = 9.

Solving x - 6 = -18:

To solve for x, add 6 to both sides of the equation:

x - 6 + 6 = -18 + 6

x = -12

So, the solution is A. x = -12.

Solving 4x + 3 = 47:

To solve for x, subtract 3 from both sides of the equation:

4x + 3 - 3 = 47 - 3

4x = 44

Now, divide both sides by 4 to isolate x:

(4x)/4 = 44/4

x = 11

So, the solution is A. x = 11.

In summary, the solutions to the given equations are:

B. (2, 5)

A. -4x + 2 = 9

A. x = -12

A. x = 11

For more such questions on equation

https://brainly.com/question/29174899

#SPJ3

How do you graph the equation f(x)=10x+40??

Answers

Ok so linear equations come in the form
y = mx + b

B is the y-intercept. In this equation the y intercept is 40. A y- intercept is where the graph crosses the y axis so at the point (0,40) the graph crosses the y axis.

M is the slope which is rise over run so if the slope was 10 (which it is) 10 is equivalent to 10/1 so you move up 10 units for every 1 unit you move across.

So to graph this equation, you would draw your first point at (0,40). For your next point, you would move right one unit, and up 10 units. Draw a point there which would be (1, 50). Hopefully you understand. For going left from the y intercept point, you would move left 1 and down 10.

Actual graph above.

Hope this helps C:

a courier earns a fixed amount for each package she delivers and yesterday her average hourly wage was $12.50 an hour if she worked 8 hours yesterday and delivered 25 packages how much does she earn for each package delivered?

Answers

12.50x8=100
100\25=4
awnser is $4.00

Answer: She earned $ 4 for each package delivered.

Step-by-step explanation:

Since, her total rate of earning = $ 12.50 per hours,

And, she worked for 8 hours.

⇒ She earned in 8 hours = 8 × 12.50 = $ 100

According to the question,

She delivered 25 packages in 8 hours.

⇒ 25 packages = 8 hours

⇒ 25 packages = $ 100

⇒ 1 package = $ 4

Thus, she earned 4 dollars for each package.

Factor. 2xy+5x−12y−30

Answers

Factor. 2xy+5x−12y−30


(2y+5) (x-6)

What is the value of x?

A. 110 degrees

B. 35 degrees

C. 145 degrees

D. 60 degrees

Answers

Im thinking it's B but im not sure

Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons 1. ABCD is a square 1. given 2. ∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles 2. definition of a square 3. ∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA 3. right angles are congruent 4. AB ≅ BC ≅ CD ≅ DA 4. ? 5. △BAD ≅ △ABC 5. SAS 6. BD ≅ AC 6. CPCTC What is the missing reason in the proof? all sides of a square are congruent all right angles measure 90° definition of diagonal definition of perpendicular

Answers

The missing reason in the geometric proof for step 4 is that all sides of a square are congruent. This property is part of the definition of a square and justifies the statement AB ≅ BC ≅ CD ≅ DA.

The missing reason in the proof is: "all sides of a square are congruent" Option a.

This reason is necessary to establish statement 4: "AB ≅ BC ≅ CD ≅ DA". It's a critical property of a square that all its sides are congruent to each other. Once you establish this, you can proceed with statement 5 using SAS (Side-Angle-Side) congruence to prove △BAD ≅ △ABC, and then finally, using Corresponding Parts of Congruent Triangles are Congruent to conclude BD ≅ AC.

Here is the corrected step:

ABCD is a square∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDAAB ≅ BC ≅ CD ≅ DA△BAD ≅ △ABCBD ≅ AC

NEED AN ANSWER ASAP!!!!!!!!!!!
The graph of the function f(x) = x3 + 5x2 + 3x – 9 intersects the x-axis at the points (–3, 0) and (1, 0) as shown. Which expression is equivalent to x3 + 5x2 + 3x – 9?

A) (x – 3)(x – 3)(x + 1)
B) (x – 3)(x + 1)(x + 1)
C) (x – 1)(x – 1)(x + 3)
D) (x – 1)(x + 3)(x + 3)

Answers

f(x) = (x - 1) ( x + 3) ( x + 3) is the answer

There are a total of 84 green cars, 35 blue cars, and 42 red cars parked in the parking lot. How many cars are parked in the parking lot?

Answers

Ok so you just have to add all of the quantities together so 84+35=119 and then 119+42=161 so there are 161 cars in the parking lot. Hope this helps
84+35+42= 161. :) Hope this helps! 

What is the value of g(−3) when g(x)=2x−2 ?


Enter your answer in the box.

g(−3)= ____






Answers

for these types of problems, plug the value inside the ( ) into the (x) of the equation.
g (-3), g (x) = 2x-2
g (x) = 2 (-3) - 2 = -6 - 2 = -8
g (-3) = -8

Answer:

The answer is -8

Hope this helps :)

There are 48 chicken farms near an ohio town.if each farm has 9 barns, how many total barns are there? answers

Answers

48•9=432
There are 432 barns

There are 432 total barns when multiplying 48 chicken farms by 9 barns per farm. For question number 27, without knowing the number of mice per barn, we cannot determine the exact number of cats needed to control the grain destruction.

To determine the number of total barns if there are 48 chicken farms near an Ohio town and each farm has 9 barns, we simply need to multiply the number of farms by the number of barns per farm. This can be represented by the equation: 48 farms times 9 barns/farm = 432 barns. Therefore, there are 432 total barns.Now, addressing the second question (Number 27): To calculate the number of cats required to control the destruction of stored grain by mice, we need to find out how many mice are in each barn, and then see how many cats are needed to kill that number of mice. A mouse eats 521 ikats of grain each year, and if we are to prevent the destruction of grain in each of the 24 barns, we need to find out how many mice a single cat can kill in a year, and then divide the number of mice by this figure.If one cat kills 96 mice a year, and assuming each barn has the same number of mice, then for one barn: Total mice killed in one barn/year = Number of cats times 96 mice/cat/year. Therefore, to find the number of cats needed: Number of cats = Total mice in one barn/year extdiv 96 mice/cat/year. Without the number of mice, we cannot complete the calculation. More information on the number of mice per barn is required to give a definitive answer.

The difference of twice a number and 9 is at least −15

Use the variable b for the unknown number.

PLEASE HELP!

Answers

Difference means subtraction (-)
Twice a number means × 2
is at least ≥

Put it all together
2b - 9 ≥ -15

Then you can solve for b
2b - 9 ≥ -15
2b ≥ -15 + 9
2b ≥ - 6
b ≥ - 6/2
b ≥ - 3

a. Name one line segment that is parallel to AB

b. Name one line segment that is skew to AB

c. Name a pair of parallel planes.

Answers

line segment EF
Skew CA
Parellel HG, DC
I think thats what it is lol

Answer:

A) CD

B)  AB

C) Plane ABCD is parallel to EFGH.

Plane BDFH is parallel to ACGE.

Plane ABFE is parallel to CDHG.

Step-by-step explanation:

We are given the following in the question:

A cuboid  ABCDEFGH is given.

A) line segment that is parallel to AB

A line segment that is parallel to AB is CD.

B) line segment that is skew to AB

Skew lines are the line that never lie in the same plane and never intersect each other.

Thus line segment FH is skew to line segment AB.

C) pair of parallel planes.

Plane ABCD is parallel to EFGH.

Plane BDFH is parallel to ACGE.

Plane ABFE is parallel to CDHG.

HELPPPP!!!!! GEOMETRY IS HARD CX

What is the m∠ABC?

A) m∠ABC = 45°

B)m∠ABC = 15°

C)m∠ABC = 75°

D)m∠ABC = 60°

Answers

ABC=60
C=45
A+C=120
ABC=180-120=60

Answer: it would be (D)


Step-by-step explanation:


A segment of a circle has a 120 arc and a chord of 8 square root 3 in. Find the area of the segment.

Answers

Final answer:

To find the area of a segment of a circle, we can use the formula A = (r^2/2)(θ - sinθ), where r is the radius and θ is the central angle in radians. In this case, the arc measure is 120 degrees and the chord length is 8√3 inches. By plugging in the values and following the steps, we can find that the area of the segment is 3840 - 16√3 square inches.

Explanation:

To find the area of a segment of a circle, we need to know the measure of the arc and the length of the chord. In this case, the arc measure is 120 degrees and the chord length is 8√3 inches. To find the area, we can use the formula A = (r^2/2)(θ - sinθ), where r is the radius and θ is the central angle in radians.

First, we need to find the radius by using the length of the chord. The formula for the radius is r = 2c/sinθ, where c is the length of the chord and θ is the central angle in degrees. Plugging in the values, we get r = 8√3/(2sin60) = 4√3/sin60 = 4√3/(√3/2) = 8 inches. Now we can find the area using the formula A = (r^2/2)(θ - sinθ). Plugging in the values, we get A = (8^2/2)(120 - sin120) = 32(120 - √3/2) = 3840 - 16√3 square inches.

Learn more about Area of a segment of a circle here:

https://brainly.com/question/16434815

#SPJ12

The volume of a sphere is 1372π/3 cubic inches. What is the diameter of the great circle? (Recall that the formula for the volume for a sphere is v=4/3πr^3.)

Answers

Answer:

It's 14 inches on Ed

Step-by-step explanation:

Final answer:

The volume of the sphere is given as 1372π/3 cubic inches. Using the volume formula for a sphere, V = (4/3)πr³, we calculate the radius and then double it to find the diameter, which is 14 inches.

Explanation:

The student asks for the diameter of the great circle of a sphere, given its volume is 1372π/3 cubic inches. To find this, we'll make use of the formula for the volume of a sphere, V = (4/3)πr³, where V represents the volume and r is the radius of the sphere.

Let's start by equating the given volume to the volume formula:

1372π/3 = (4/3)πr³

Cancelling out π and the fraction (4/3) on both sides, we get:

1372/4 = r³

This simplifies to:

343 = r³

Taking the cube root of both sides gives us the radius:

r = ∛343

r = 7 inches

The diameter of the sphere is twice the radius, so:

diameter = 2r = 2 × 7 = 14 inches

Therefore, the diameter of the great circle of the sphere is 14 inches.

Suppose y varies directly as x and y=21 when x=7. which is an equation relating x and y

Answers

y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
therefore, the equation is y=3x

What are the solutions of 4 + 5t < 19?

Answers

4 + 5t < 19

5t < 19 - 4

5t < 15

t < 15 ÷ 5

t < 3

hope that helps, God bless!
I only got a solution when I did the problem. The answer I ended up with is t < 3.
Other Questions
What characteristics of an advanced civilization did ancient ghana possess? how does diction strengthen an argument? how is the economic system of Canada described? What is the wavelength of a radio photon from an "am" radio station that broadcasts at 1160 kilohertz?what is its energy? Why is the story of phineas gage considered so extraordinary? what does his story teach us about the brain? Maria is a lawyer. She is also an avid runner. How can this sentence be combined using a coordinating conjunction? Maria is a lawyer and an avid runner. Maria is a lawyer although she is an avid runner. Although Maria is a lawyer, she is an avid runner. Fran graphs the equations y = 2x2 2 and y = 0.5x + 4. Her graph is shown below.Which value is an approximate solution of 2x2 2 = 0.5x + 4? What is the solution to the system of equation?-3x-4y-32= -7 2x-6y+2=3 5x-2y+5z=9 What were the human costs of building the transcontinental railroad? A salesperson's commission rate is 5 %. What is the commission from the sale of $ 44,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations. The table of values below represents a linear function and shows the height of a tree since it was transplanted. What was the height of the tree when it was transplanted? Carol ate 2/5 of the cake. Dima ate 3/5 of the REMAINING CAKE, mom ate the rest. How many times more did Carol eat compared to Dima? PLEASE EXPLAIN, GIVING BRAINLIEST, PLEASE HELP. Why was there tension between the United States and the USSR after world war ll Can you finance a car the car then becomes ___ for the loan Which group on the periodic table contains only metals? the second group A.the last group B.along the top C.along the bottom D. Which group of instruments was the nucleus of the classical orchestra? Read the summary. [John argued with his younger brother. He reminded him that their father would be home soon, and that their mother was only a few feet away in the kitchen talking with her friend. Roy explained that he would only be gone for five minutes. Without giving John an option, Roy quickly went down and joined his friends. John refocused his attention on his schoolwork.] In The Rockpile by James Baldwin, which word most accurately describes Roy? A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight? Communities may not take needed actions unless disaster preparedness, response, recovery, and mitigation information is communicated: A. frequently and in every format available. B. by the highest authority in the area. C. using messages and languages that are culturally appropriate and easily understood. D. to the heads of the households. Wilbur went to the Halloween costume party at the Teen Center dressed as Romeo. Wendy was at the same party dressed as Juliet. As fate would have it, their eyes met across the crowded room, and they instantly fell in love. (Cheesy, right?) Unfortunately, they never got to talk to each other at the party and have been trying to find each other ever since! Wilbur went back to the Teen center 2 days after Halloween and goes back there every 13th day hoping to find his Juliet. Wendy went back to the Teen Center four days after Halloween and goes back there every 17th day looking for her beloved Romeo. When will they miss each other by just one day? When will the meet? Steam Workshop Downloader