Solve for x: -3(5x -2) - x - 2 = 116

Answer:

The answer would be A.) 21 gallons.

Step-by-step explanation:

1.) The first thing you need to do is see how many miles per gallon the van is using by doing 168/14= 12.

2.) Then, you would apply this to the amount need to travel by doing 252/12= 21, meaning the answer is in fact A.) 21 gallons.

To find out how many gallons of gas a van would need to travel 252 miles, given that it travels 168 miles on 14 gallons, you can use a simple ratio and proportion calculation. This yields that the van would need 21 gallons to travel 252 miles.

The subject here is the mileage of a van, which is a problem of ratio and proportion. Given that the van travels 168 miles on 14 gallons of gas, we can find out how much it would need to travel 252 miles. We set up the proportion as follows:

168 miles / 14 gallons = 252 miles / X gallons

To find X (the unknown), we cross multiply:

168 * X = 252 * 14

After solving this equation, we find that X equals 21. Therefore, the van would need 21 gallons to travel 252 miles.

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The initial room temperature was -20 degrees Celsius.

The temperature in the room decreases by 0.5 degrees Celsius per minute.

After Quinn slept for 60 minutes, the room's temperature became 10 degrees Celsius.

We can calculate the initial room temperature by subtracting the total decrease in temperature from the final temperature:

Initial temperature = Final temperature + (Rate of temperature decrease * Time)

Initial temperature = 10 + (-0.5 * 60) = 10 + (-30) = 10 - 30 = -20 degrees Celsius

Therefore, the initial room temperature was -20 degrees Celsius.

Final answer:

The final temperature of the room after 60 minutes of the air conditioner being on is -20°C.

Explanation:

In this question, we are given the initial temperature of the room and the rate at which the temperature decreases. We are also given the time period for which the air conditioner was on. We need to determine the temperature after the given time period.

Given: Initial temperature = 10°C, Rate of temperature decrease = 0.5°C/min, Time period = 60 min.

To calculate the final temperature, we need to multiply the rate of temperature decrease by the time period and subtract this value from the initial temperature.

Final temperature = Initial temperature - (Rate of temperature decrease * Time period) = 10°C - (0.5°C/min * 60 min) = 10°C - 30°C = -20°C.

Answers:

1) Given

2) angle 2 ** see note below

3) angle 3 ** see note below

4) converse of alternate exterior angle theorem

note: you can swap the answers for 2 and 3 and it doesn't matter

========================================================

Explanations:

1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.

2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)

4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).

A well-structured paragraph should have unity under a single thesis, clear topics, and relevant evidence. The analysis of the evidence reinforces the main point.

A well-structured paragraph should have unity under a single thesis, clear topics supported by relevant evidence, and appropriate transitions. The supporting evidence can include facts, statistics, expert opinions, and examples. The analysis of the evidence should explain its significance and reinforce the main point of the paragraph.

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Answer:

C = 79, B = 26 degrees

Step-by-step explanation:

tan C = 5.1323

To find C you  use your calculator . Press tan-1 ( or it might be arctan) then the value 5.1323 Then ENTER.

C =  79 degrees to nearest degree.

cos B = 0.8954

B = 26 degrees

The nearest degree, of C =79 degrees

The nearest degree, of B = 26 degrees

tan C = 5.1323

To find C you use your calculator. Press tan-1 ( or it might be arctan) then the value 5.1323 Then

C =  79 degrees to nearest degree.

cos B = 0.8954

B = 26 degrees.

The angle of the trigonometric function is the angle given by the ratio of the trigonometric functions. Trigonometry involves studying the relationship between angles and the sides of a triangle. Angle values ​​range from 0 to 360 degrees. The important angles of trigonometry are 0 °, 30 °, 45 °, 60 °, 90 °, 180 °, 270 °, and 360 °.

The angle at which the vertex is at the origin and one side is on the positive x-axis. Can take positive or negative dimensions and can be larger than 360 °

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Answer:

3(m - 32.97) = 3.09

Step-by-step explanation:

She started with m money for each of the three children.

A pair of pants costs $12.99. Each polo shirt costs $9.99.

A pair of pants and 2 polo shirts cost

$12.99 + 2 * $9.99 = $12.99 + $19.98 = $32.97

For each child, she had m money and spent $32.97.

For each child, she had m - 32.97 money left.

For the three children, the amount of money left was 3(m - 32.97).

We are told that for the three children, the amount of money left is $3.09.

That means that 3(m - 32.97) must equal $3.09.

The equation is:

3(m - 32.97) = 3.09

Answer:

A = pi/2

Step-by-step explanation:

Area of a sector is given by

A = 1/2 r^2 theta when theta is given in radians

We know the area of the circle (pi * r^2) so we multiply by pi/pi

A = 1/2  pi/pi r^2 theta

A = 1/(2* pi)  * pi r^2 theta  

   =  1/(2* pi)  * Ac theta   where Ac is the area of a circle

Substituting what we know  Ac = 9 pi and theta = 1/9 * pi

A    =  1/(2* pi)  * 9*pi  1/9 * pi

A = 1/(2* pi)  * pi^2

A = 1/2 * pi

A = pi/2

Answer:

Its [tex]\frac{\pi }{2}[/tex] .

Step-by-step explanation:

Because the work shown below will show you how:

[tex]\frac{\theta}{2\pi } = \frac{A_s}{A_c}\\\frac{1}{9} /2\pi = \frac{A_s}{9\pi } \\\frac{1}{18} = \frac{A_s}{9\pi } \\\frac{1}{18} * 9\pi = A_s\\=\pi/2[/tex]

Answer:

The 7 in 172,416 is placed in the Ten-Thousands place. That is the place value.

I hope i am correct.

Answer:

The answer to your expression is 94.

Step-by-step explanation:

Given Expression -> 3 ( 7 - 5 ) + 8 ( 9 + 2 )

Order of Operations Parenthesis -> 3 ( 2 ) + 8 ( 11 )

Multiplcation Left to Right -> 6 + 8 ( 11 )

Multiplcation Left to Right -> 6 + 88

Addition -> 94

Final answer:

To evaluate the expression 3(7 - 5) + 8(9 + 2), we first solve the expressions within parentheses, then multiply, and finally add the results to get the answer, which is 94.

Explanation:

To evaluate the expression 3(7 - 5) + 8(9 + 2), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Then we add the results of the multiplications: 6 + 88.

So, the expression 3(7 - 5) + 8(9 + 2) evaluates to 94.

The area and the circumference of the circle are 28.26 square units and 18.84 units

Finding the area and the circumference of the circle

From the question, we have the following parameters that can be used in our computation:

Radius, r = 3 units

The area and the circumference of the circle are calculated using

Area = πr²

Circumference = 2πr

Substitute the known values into the equation

Area = 3.14 * 3² =  28.26

Circumference = 2 * 3.14 * 3 = 18.84

Hence, the area and the circumference of the circle are 28.26 square units and 18.84 units

Question

The radius of a circle in 3 units

Find the area and the circumference of the circle

Answer:

The required equation is [tex]\angle W+3\angle W=180^{\circ}[/tex].

Step-by-step explanation:

Given information: WXYZ is a parallelogram, W and X are adjacent interior angles and measure of X is three times the measure of W.

According to the properties of parallelogram, the two adjacent interior angle are supplementary angle and their sum is 180 degrees.

[tex]\angle W+\angle X=180^{\circ}[/tex]            .... (1)

It is also given that the measure of X is three times the measure of W.

[tex]\angle X=3\angle W[/tex]

Substitute this value in equation 1.

[tex]\angle W+3\angle W=180^{\circ}[/tex]

[tex]4\angle W=180^{\circ}[/tex]

[tex]\angle W=45^{\circ}[/tex]

Substitute this value in equation 1.

[tex]\angle W=135^{\circ}[/tex]

Therefore the required equation is [tex]\angle W+3\angle W=180^{\circ}[/tex].

1.28/16=0.08  

8¢ per oz

1.92/32=0.06

6¢ per oz

2.56/64=0.04

4¢ per oz

3.36/96=0.035

3.5¢ per oz

The 96 oz orange juice for $3.36 costs the least per oz.

Answer:

D. $0.035 per ounce.

Step-by-step explanation:

We have been given a table. We are asked to find the container that costs the least per ounce.

Let us find per ounce cost of each container as:

A. [tex]\frac{\$1.28}{\text{16 oz}}=\frac{\$0.08}{\text{oz}}[/tex]

B. [tex]\frac{\$1.92}{\text{32 oz}}=\frac{\$0.06}{\text{oz}}[/tex]

C. [tex]\frac{\$2.56}{\text{64 oz}}=\frac{\$0.04}{\text{oz}}[/tex]

D. [tex]\frac{\$1.92}{\text{96 oz}}=\frac{\$0.035}{\text{oz}}[/tex]

Therefore, the container with 96 oz for $3.36 costs the least per ounce.

Answer:

x=-2

Step-by-step explanation:

Given points are (-2,2) and (-2,-3).

Now we need to find equation of the line passing through the given points.

So let's begin by finding slope

[tex]m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}[/tex]

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.

Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.

x-coordinate is -2 in given points.

Hence final equation is x=-2.

Answer:

x=-2

Step-by-step explanation:

Answer:

n = S/180 + 2

Step-by-step explanation:

S = 180(n - 2)

First, divide both sides by 180.

S/180 = n - 2

Now add 2 to both sides.

S/180 + 2 = n

n = S/180 + 2

Answer:

n = (S/180) + 2

Step-by-step explanation:

You are solving for n, and so isolate the variable. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS:

PEMDAS =

Parenthesis

Exponent ( & roots)

Multiplication

Division

Addition

Subtraction

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

First, divide 180 from both sides

(S)/180 = (180(n - 2))/180

S/180 = n - 2

Next, to isolate the variable (n) completely, add 2 to both sides

(S/180) (+2) = n - 2 (+2)

(S/180) + 2 = n

n = (S/180) + 2 is your answer

~

x^2-9x-6=0

Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2

Answer:

The boy's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.

Answer:

Its B

Step-by-step explanation:

the other guys is wrong i got it wrong so its b

I did the test trust me he's wrong

Answer:

14.x=-2

21. x=-2

23. x=5

7.x=12

2.x=49

Step-by-step explanation:

I got your back bro:

14. Subtract 7 on both sides. Then divide -16 by 8.      x=-2

21. Add 1 on both sides. Divide 18 by -9. x=-2

23. Subtract 24 on both sides, then divide -25 by -5. your answer is x=5.

7. Add 2/5 on both sides. then multiply 2 2/5 by the reciprocal of -1/5. Your answer is x=12

2. Subtract 5 on both sides. Multiply 14 by the reciprocal of 2/7, or 7/2. Your answer is 49.

Good luck!

Answer:

Final answer is x= -0.76 and y=2.57.

Step-by-step explanation:

We have been given two functions [tex]f(x)=x^3+3[/tex] and

[tex]g(x)=x^2+2[/tex]

Now question says to graph the given functions [tex]f(x)=x^3+3[/tex] and

[tex]g(x)=x^2+2[/tex] using some graphing tool. Then zoom as per requirement so that you can see the intersection point and read that point from graph which should be correct up to hundredth decimal place.

I'm using Desmos graphing calculator. Just type both functions then it will create graph for you. Click on intersection point as you can see in the attached picture. They intersect at point (-0.755,2.57).

Hence final answer is x=-0.76 and y=2.57.

Answer:

Step-by-step explanation:

The given functions are

[tex]f(x)=x^{3}+3\\ g(x)=x^{2} +2[/tex]

If we wanna find [tex]f(x)=g(x)[/tex] we can just graph and see such point, or we can do some algebra to find it. This problem, specifically, asks an answer using a graphic method. The graph with both functions is attached.

You can see that the interception point is (-0.755, 2.57), which rounded to the nearest hundred is (-0.76, 2.57). At this point the functions are equal ([tex]f(x)=g(x)[/tex]), that's what an interception means.

We obtained this point by just left-clicking on the interception point, as the problem indicates.

Answer:

D

Step-by-step explanation:

B,C don't have enough candles and a cost too much.

Answer:

D. (18,11)

Step-by-step explanation:

The last option is the one that makes the most sense for Jose. Jose needs to buy small and large candles. Small candles are $3 while large candles are $5. His budget is $120 and he needs at least 25 candles. If Jose picks option D, he would be able to buy:

18 small candles = 54

11 large candles = 55

Therefore,

18 + 11 = 29 candles

54+ 55 = $109

Answer:

x = 20

Step-by-step explanation:

To find the midpoint of a segment, add the lengths and divide by 2

If y is the midpoint the 2 parts have to be equal.

XY = YZ

2(3x+1) = 5x+22

Distribute

6x+2 = 5x+22

Subtract 5x from each side

6x-5x +2 = 5x-5x+22

x+2 =22

Subtract 2 from each side

x+2-2=22-2

x=20

Answer:

x=20

Step-by-step explanation:

Have a nice day!!!

Answer:

Ambitious

In this case, you have to multiply the price of the one way journey ($2.65) by 8 (as this is the number of individual journeys made in one week. It's gives you $21.20. As he has 1 bottle of water at $1.45 each day for four days, you have to multiply these together, giving you $5.80 You then have to add together $21.20 and $5.80, giving you $27. Therefore, it costs Edgar $27 a week

Step-by-step explanation:

Answer:

$27.00

Step-by-step explanation:

To ride the bus to and from work costs

2* 2.65 = 5.30  for 1 day

He rides the bus 4 days a week

4 * 5.30 = 21.20      for 4 days

He buys a bottle of water on the way to work 4 days a week

4 * 1.45 = 5.80  for 4 days

Cost to ride the bus = bus fare for 4 days + water for 4 days

                                    = 21.20 + 5.80

                                     = 27.00

4 (2*2.65+ 1.45) = 27

Answer:

Hope this helps! Brainliest please

Step-by-step explanation:

1. Divide both by 5, so the correct answer would be 5/9, and then multiply both by 3, so the correct answer would be 75/135. The answer is 5/9,75/135

2. 4 and 2/7 because 7 *4=28. That leaves 2 sevenths over.

3. Divide both by 9. Your answer is 3/4

Answer:

1/2 is 0.5 as a fraction

Answer:

1/2

Step-by-step explanation:

Not sure how this got in the middle school math section, but basically dividing 1/2 will equal 0.5.

Some other alternatives to 1/2 are

2/4, 4/8

40/80

x/2x

55/110

Answer:

Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Step-by-step explanation:

Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them

It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.

[tex]speed=\frac{distance}{time}[/tex]

[tex]3=\frac{y}{x+27}[/tex]

[tex]y=3(x+27)[/tex]

 [tex]y=3x+81[/tex]                          .... (1)

The constant speed of Dave is 4.5 feet per second.

[tex]4.5=\frac{y}{x}[/tex]

[tex]y=4.5x[/tex]                                .... (2)

Equate equation (1) and (2).

[tex]3x+81=4.5x[/tex]

[tex]81=1.5x[/tex]

Divide both sides by 1.5.

[tex]\frac{81}{1.5}=x[/tex]

[tex]54=x[/tex]

Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Answer:

1, 2, 3

Step-by-step explanation:

solve the inequality by dividing both sides by 2, hence

n ≤ 3

3 = 3 and 1, 2 < 3

hence 1, 2 and 3 all make the inequality true

Answer:

common difference: 14

Step-by-step explanation: You have to find out what number it takes to add to the number to get the following number. ex 11+14=25      25+14=39 etc

Answer:

The common difference of the arithmetic sequence is 14.

Step-by-step explanation:

The arithmetic sequence is defined as

x:   1     2    3    4    5

y:  11   25  39  53   67

The common difference of the arithmetic sequence is

[tex]d=\frac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points, i.e.,(1,11) and (2,25).

[tex]d=\frac{25-11}{2-1}[/tex]

[tex]d=\frac{14}{1}[/tex]

[tex]d=14[/tex]

Therefore the common difference of the arithmetic sequence is 14.

Answer:

SSS - This means side side side. You must have 3 congruent sides in both triangles to prove them congruent.

SAS - This means side angle side. You must have 2 sides and an included angle in both triangles to prove them congruent.

ASA - This means angle side angle. You must have 2 angles and an included side in both triangles to prove them congruent.

AAS - This means angle angle side. You must have 2 angles and a side in both triangles to prove them congruent.

NOTE: included basically means in between.