What is the solution to this equation?

8x - 5 (x-3) = 18

Answer:

7.28 units to the nearest hundredth.

Step-by-step explanation:

Use the Pythagoras theorem.

If you examine the graph you see that the line segment is the hypotenuse of a right triangle with legs of length 2 and 7.

XY^2 = 2^2 + 7^2

XY^2 =  53

XY = √53

XY = 7.28.

Answer: Third option.

Step-by-step explanation:

You need to use the formula for calculate the distance between two points. This is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

You can observe in the graph that the coordinates of the point X and the point Y are the following:

X(-4,0) and Y(3,2)

Knowing this, you can substitute the coordinates into the formula.

You get that the lenght of the segment XY is:

 [tex]d_{(XY)}=\sqrt{(3-(-4))^2+(2-0)^2}\\\\d_{(XY)}=\sqrt{53}\ units[/tex]

This matches with the third option.

Answer:

4

Step-by-step explanation:

Assuming that the frog is consistent with its performance, the correct answer can be calculated. It can be noticed that the ability to jump upwards is 3 feet and the sliding back down is 2 feet. This means that the gain is greater than the loss. The net gain is 1 foot for each jump. This will continue until the distance of 6 feet has been achieved. It will be: 3 ft - 2 ft = 1 ft (1 jump); 1 ft + 3 ft - 2 ft = 2 ft (2 jumps); 2 ft + 3 ft - 2 ft = 3 ft (3 jumps). At the end of the 3 jumps, the frog has already covered the distance of 3 feet. This means that when the frog jumps from this height, it will achieve the height of 6 feet, by which it will get out of the hole. This means that the frog requires 4 jumps to get out of the tunnel.

Answer:

13 Units-correct on edge

Step-by-step explanation:

The length of line segment VT in which SU and VT are chords that intersect at point R is 13 units

An equation is an expression that shows the relationship between two or more numbers and variables.

Using the intersecting chord theorem:

VR * RT = SR * RU

(x + 1)(x + 4) = x(x + 6)

x² + 6x = x² + 5x + 4

x = 4

VT = VR + RT = x + 1 + (x + 4) = 4 + 1 + 4 + 4 = 13 units

The length of line segment VT in which SU and VT are chords that intersect at point R is 13 units

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Answer:

The percent error is 12.5%.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

The answer is 12.5%

Hope this helps

-Amelia The Unknown

Answer:

315 apples

Step-by-step explanation:

45 divided by 3 = 15 then time's that by 7

First you need know that AB = DC and AD = BC.

So,

3y - 2 = y + 6

2y = 8

y = 4

AB = 3(4) - 2 = 12 - 2 = 10

2x - 4 = x + 12

x = 12 + 4

x = 16

BC = 16 + 12 = 28

So your answer is:

AB = 10; BC = 28

The lengths of line segments AB = 10 and BC = 28.

The opposite sides of a parallelogram are congruent,

AB = DC,

3y - 2 = y + 6

subtract y from both sides, then we get

2y - 2 = 6

adding 2 to both sides

2y = 8

Dividing both sides by 2, then we get

y = 4

Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10

and AD = BC, that exists

2x - 4 = x + 12

subtract x from both sides

x - 4 = 12

adding 4 to both sides

x = 16

BC = x + 12 = 16 + 12 = 28

The lengths of line segments AB = 10 and BC = 28.

Therefore, the correct answer is AB = 10 and BC = 28.

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Answer:

270 words per minute

Step-by-step explanation:

It is given 180 words in 2 minutes, this means Toni can type 180/2 = 90 words per minute (90wpm).

Thus, in the same ratio/rate, Toni would be able to type:

90 * 3 = 270 words per minute.

Correct answer 270 wpm

Answer:

270

Step-by-step explanation:

hello

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 2, 4), hence

y - 4 = 3(x - (- 2)), that is

y - 4 = 3(x + 2) ← in point- slope form

Answer:

B) As the age increases, the height increases.

Step-by-step explanation:

There is a clear trend that is shown with a positive slope. That means that the the variables, here, the age and the height, are directly proportionate to each other. That means our answer is B or D.

Another note is that in a situation like this, the y-variable is dependent on the x-variable. So, here, that means that the height depends on the age. So, the answer is B, since in a sentence structure like so indicates that the second variable is dependent on the first.

Answer: the answer is b

Step-by-step explanation:

can you rate me good

Answer:

Choice B

Step-by-step explanation:

For a function to be a function, one of the easiest ways to tell is if an x-value has more than one y-value, because then it wouldn't pass the Vertical Line Test

But for choices A, C, and D, each x-value has 2 different y-values, failing the test

Out of the given options, the relation that describes a Functions is B) {(-2, −3), (-3, −2), (2, 3), (3, 2)}, as in this set, each x-value is only paired once with a unique y-value.

In the context of functions in Mathematics, a function is a relation where every domain (input) has exactly one unique range (output).

Looking at these four relations, the relation that describes a function would be B) {(-2, −3), (-3, −2), (2, 3), (3, 2)} because each x-value is paired with a unique y-value.

In other words, no x-value has more than one corresponding y-value.

For example, -2 is only paired with -3, -3 is only paired with -2, 2 is only paired with 3 - all unique pairs.

This is the definition of a function.

The other options (A, C, and D) all have x-values that are paired with more than one y-value, which violates the definition of a function.

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Answer:

0.3333

Step-by-step explanation:

To get 5/15 converted to decimal, you simply divide 5 by 15.

Hope this helps!

Answer:

(-1, -9)

Step-by-step explanation:

Recall that for 2 points (x1, y1) and (x2,y2)

the midpoints are given by

x ordinate = [tex]\frac{x1+x2}{2}[/tex]

y ordinate = [tex]\frac{y1+y2}{2}[/tex]

In our case x1 = 8, y1 = -10, x2 = -10, y2=-8

x ordinate = [tex]\frac{x1+x2}{2}[/tex]  = [8 + (-10) ] / 2 = -1

y ordinate = [tex]\frac{y1+y2}{2}[/tex] = [-10 + (-8) ] / 2 = -9

hence midpoint is (-1, -9)

Answer:

The the midpoint of given line segment = (-1, -9)

Step-by-step explanation:

Points to remember

Midpoint formula

Midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

To find the midpoint of given line segment

Here (x₁, y₁) = (8, -10) and (x₂, y₂) = (-10, -8)

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

 = [(8 + -10)/2 , (-10 + -8)/2]

 = [-2/2, -18/2]

 = (-1, -9)

Therefore the midpoint of given line segment = (-1, -9)

Answer:-38

Step-by-step explanation:

Answer:

-38

Explanation:

You're dealing with absolute value. Those little | | (lines) are absolute value. Absolute value is simply the distance of a number on the number line from 0 without considering which direction from 0 the number lies. Absolute value of a number is always positive (never negative). In your case you have to find the absolute value of |-38|, which is 38. Expect your problem includes a negative on the outside of the absolute value making the number a negative again.

-|-38|=?

Get rid of lines and you're left with

-38

Hope this helps a bit,

Flips

Answer:

~x->~y

Step-by-step explanation:

Inverse of a conditional p->q is not p->not q

So inverse of x->y is ~x->~y

Answer:

The correct option is A.

Step-by-step explanation:

The given statement is

[tex]x\Rightarrow y[/tex]

We need to find the inverse of the given statement.

If a and b are two statements, then

Direct statement : [tex]a\Rightarrow b[/tex]

It means if a is true then b is true.

Inverse statement :  [tex]\sim a\Rightarrow \sim b[/tex]

It means if a is false then b is false is true.

The inverse of given statement is

[tex]\sim x\Rightarrow \sim y[/tex]

Therefore the correct option is A.

Answer:

Step-by-step explanation:

4 to 24 = 1 to 6

Answer:

4  to 24

Step-by-step explanation:

The bag in total has 24 fruit. So that means that the bag has 4 bannanas and 24 fruit in total its 4 to 24

Answer:

x = -2 and y = 3

Step-by-step explanation:

It is given that,

4x + 5y = 7  ----(1)

3x – 2y = –12    ---(2)

To find the value of x and y

eq(1) * 3 ⇒

12x + 15y = 21   ----(3)

eq(2) * 4 ⇒

12x - 8y = -48  ---(4)

eq(3) - eq(4) ⇒

12x + 15y = 21   ----(3)

12x - 8y = -48  ---(4)

0 + 23y = 69

y = 69/23 = 3

y = 3

Substitute the value of y in eq(1)

4x + 5y = 7    ----(1)

4x + 5*3 = 7

4x = 7 - 15 = -8

x = -8/4 = -2

Therefore x = -2 and y = 3

ANSWER

x=-2,y=3

EXPLANATION

The system of equations is:

[tex]4x + 5y = 7...(1)[/tex]

and

[tex]3x - 2y = - 12...(2)[/tex]

We multiply the first equation by 2.5 to get:

[tex]7.5x - 5y = - 30...(3)[/tex]

We add equations (1) and (3)

[tex]4x+7.5x=-30+7[/tex]

[tex]11.5x = - 23[/tex]

Divide both sides by 11.5

[tex]x = - \frac{23}{11.5} [/tex]

[tex]x = - 2[/tex]

Put x=-2 into the first equation or any other equation and solve for y.

[tex]4( - 2) + 5y = 7[/tex]

[tex] - 8 + 5y = 7[/tex]

[tex]5y = 7 + 8[/tex]

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Answer:

-3

Step-by-step explanation:

I'm going to find both equations first.

Slope for line l can be found by doing

 (1  ,  3)

- (2 ,  5)

-------------

  -1      -2          so slope is -2/-1 or just 2

y=mx+b is a linear equation with slope m and y-intercept b

y=2x+b  now we need b

3=2(1)+b  plug in a point on the line

3=2+b

so b=1

The equation for line l is y=2x+1

The other equation line m has the slope given which is 1 so this equation will be of the form y=1x+b

to find this b (this y-intercept) use the point that you know is on the line

4=1(1)+b  

so b=3

so line m is y=1x+3 or y=x+3

So we want to find when y=2x+1 and y=x+3 intersect

Replace first y with the 2nd y which is x+3

x+3=2x+1

subtract x on both sides

  3= x+1

subract 1 on both sides

 2=x

 x=2

y=2x+1

y=2(2)+1

y=4+1

y=5

So the intersection is (2,5)

So a=2 and b=5

a-b =2-5=-3

Lines l and m intersect at point (2, 5)

The equation of a straight line is given by:

y = mx + b;

where y,x are variables, m is the slope of the line and b is the y intercept.

Line l passes through the points (1, 3) and (2, 5), hence its equation is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1 )\\\\y-3=\frac{5-3}{2-1}(x-1)\\\\y-3=2x-2\\\\2x-y=-1[/tex]

2x - y = -1    (1)

Line m passes through point (1, 4) and has a slope of 1, hence:

[tex]y-y_1=m(x-x_1)\\\\y-4=1(x-1)\\\\x-y=-3[/tex]

x - y = -3     (2)

To determine point (a, b) we solve equation 1 and 2 simultaneously to get:

x = 2, y = 5

Hence lines l and m intersect at point (2, 5)

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Answer:

[tex]\large\boxed{B. \left\{\begin{array}{ccc}4x+2y=10\\10x+y=21\end{array}\right}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}4x-2y=6\\2x+y=5&\text{multiply both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-2y=6\\4x+2y=10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad8x=16\qquad\text{divide both sides by 8}\\.\qquad x=2\\\\\text{put the value of x to the second equation:}\\\\2(2)+y=5\\4+y=5\qquad\text{subtract 4 from both sides}\\y=1[/tex]

[tex]\text{Put the value of x and y to the each equation and check the equalities:}\\\\A.\\-4x-2y=10\\-4(2)-2(1)=10\\-8-2=10\\-10=10\qquad\bold{FALSE}\\\\B.\\4x+2y=10\\4(2)+2(1)=10\\8+2=10\\10=10\qquad\bold{CORRECT}\\10x+y=21\\10(2)+1=21\\20+1=21\\21=21\qquad\bold{CORRECT}\\\\C.\\-4x-5y=-1\\-4(2)-5(1)=-1\\-8-5=-1\\-14=-1\qquad\bold{FALSE}\\\\D.\\3x+2y=6\\3(2)+2(1)=6\\6+2=6\\8=6\qquad\bold{FALSE}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

$265,93 Apex confirmed

Step-by-step explanation:

Answer:

$265.932

Step-by-step explanation:

We have been given that the cost of $500,000 worth of 20-year-term life insurance for Shanika is  $73.87 per month. Shanika's employer covers 70% of this cost. We are asked to find the amount that is deducted from Shanika's gross income per year for life insurance.

Since Shanika's employer covers 70% of her life insurance, so Shanika pays 30% (100%-70%) of her life insurance.

Let us find amount paid by Shanika per month for life insurance.

[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times\frac{30}{100}[/tex]

[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times0.30[/tex]

[tex]\text{Amount paid by Shanika for life insurance per month}=\$22.161[/tex]

To find amount paid by Shanika is one year, we will multiply $22.161 by 12 as 1 year is equal to 12 months.

[tex]\text{Amount paid by Shanika for life insurance per year}=\$22.161\times 12[/tex]

[tex]\text{Amount paid by Shanika for life insurance per year}=\$265.932[/tex]

Therefore, $265.932 is deducted from Shanika's gross income per year for life insurance.

Angle P and angle Q are the same, which means the two sides PR and QR are the same.

Set the two equations to equal and solve:

5n = 32 +n

Subtract 1n from each side:

4n = 32

Divide both sides by 4:

n = 32 / 4

n = 8

Now we have the value for n, solve for PR.

PR = 5n = 5(8) = 40

The missing component is a Control Group

Answer:

Control group

Step-by-step explanation:

A control group is necessary in all experiments that require a comparison. A control group and an experimental group are both included in an experiment. These two need to be identical in every way with the exception of the fact that the experimental group will be subjected to a treatment that is believed to have a particular outcome. In this case, it is difficult to know whether the drink really has the desired effects or not, as we are not aware of the results of a control group.

Step-by-step explanation:

angle YWX = angle YXW ...eqn 1

angle XYZ = angle WYX (0.5) = 15x...eqn 2

angle YXZ = angle YXW = 2x + 5...eqn 3

=> from eqn 1 and 3 we get...

angle YWX = 2x + 5 ...eqn 4

=> from eqn 2 we get

angle WYX = 2 × angle XYZ = 30x...eqn 5

a triangle has a total of 180deg,

=>angle WYX + angle YWX + angle YXW = 180deg

=> 30x + 2x +5 + 2x +5 = 180deg

=> 34x +10 =180deg

=> x = 5deg

subst x = 5deg in eqn 5, we get

angle WYX = 30 × 5 = 150deg

Answer:

D = 150 degrees

Step-by-step explanation:

Just got it correct on Edg, 2021!

Answer:

Scale factor is 0.25

Step-by-step explanation:

To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is

1.5/6

=0.25

Answer:

If a parallelogram has at least one 90 degree angle then its opposite angle is equal and also = 90 degrees.  

The 2 remaining opposite angles add up to 180 degrees and since they must be equal, they must be 90 degrees each.

So, we have a quadrilateral with four 90 degree angles and is therefore a rectangle OR it could possibly be a square.

Step-by-step explanation:

Answer: one right angle property

Answer:

The value of x is 15 ⇒ answer D

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the scale factor is negative then the figure will reflected

* Now lets solve the problem

∵ D (o, k) (x , 9) → (-10 , -6)

- D means dilation

- o means the center of dilation is the origin

- k means the scale factor of dilation

∵ The y-coordinate of the point is 9

∵ The image has y-coordinate -6

∵ The image = The scale factor × the coordinates

∴ -6 = k × 9 ⇒ divide both sides by 9

∴ k = -6/9 = -2/3

- Lets find x by same way

∵ -10 = -2/3 × x ⇒ divide both sides by -2/3

∴ x = -10 ÷ (-2/3) ⇒ change the division to multiplication

∴ x = -10 × (-3/2) = 30/2 = 15

∴ The x-coordinate of the point before dilation is 15

* The value of x is 15

Answer: D

Step-by-step explanation:

I would say the answer is a point, points are theoretically a

zero-dimensional idea

Answer:

D. point

Step-by-step explanation:

A point is an undefined term in Geometry. It represents a position in space. It has no length, width, or height.

Answer:

y = 28 degrees

x = 28 degrees

Step-by-step explanation:

A right angle = 90 degrees

90 degrees - 62 degrees = 28 degrees

This is for both x and y because 62 degrees occupies both the right angles.

Answer:

right angles are 90 degrees

90-62=28

X=28

y=28

I hope this helps!

PLEASE IGNORE THIS I MISREAD THE QUESTION AND AM NOT SURE HOW TO REMOVE MY ANSWER.

Answer:

D. 28

Step-by-step explanation:

ED2021

Answer:

71

Step-by-step explanation:

Answer: 107

Step-by-step explanation:

Hi, to answer this we have to write an equation for  Colin's score (C) and another equation for Brian's score (B).

Colin scored 36

C =36

Brian scored 35 more than Colin.

B = C +35

Replacing C by 36 in Brian's score equation:

B = (36) +35 = 71

To calculate the combined score we have to add both scores:

C +B = 36 +71 = 107

Answer:

56 tablets

Step-by-step explanation:

Jonah knows that Mr. Robinson needs 14 tablets for a week's supply of an anti-inflammatory drug.

Mr. Robinson is going on vacation and needs a 4-week supply.  

So multiplying 4 with the weekly supply will yield the required result.  

So, number of tablets Jonia needs to fill is,

=4\times 14

=56

Therefore, Jonah needs 56 tablets in order to fill his prescription

Final answer:

Jonah needs to fill Mr. Robinson's prescription with 56 tablets for a 4-week supply of the anti-inflammatory drug by multiplying the weekly need of 14 tablets by 4 weeks.

Explanation:

Jonah knows that Mr. Robinson needs 14 tablets for a week supply of an anti-inflammatory drug. Mr. Robinson is going on vacation and needs a 4 weeks supply. To calculate the total number of tablets needed for the 4-week supply, you multiply the weekly need by the number of weeks:

Determine the weekly need: 14 tablets.

Multiply the weekly need by the number of weeks: 14 tablets × 4 weeks = 56 tablets.

So, Jonah needs to fill Mr. Robinson's prescription with 56 tablets for a 4-week supply of the anti-inflammatory drug.