- Varun drove to work this morning. It took
him 15 minutes. He stopped at a traffic
light for 3 minutes after driving for
5 minutes. Sketch a graph to represent
the distance from Varun's house during
his drive to work.

Good evening ,

______

Answer:

{ ... , -24, -12 ,0 , 12 , 24 , 36 , ... }

___________________

Step-by-step explanation:

Any number that can be written in the form: 12×k is a multiple of 12 , k∈Z

12×0=0 then 0 is a multiple of 12

12×1=12 then 0 is a multiple of 12

12×2=24 then 0 is a multiple of 12

12×3=36 then 0 is a multiple of 12

12×4=48 then 0 is a multiple of 12

.

.

.

etc.

___________

:)

There is no solution of expression.

We have to given that,

An expression to solve,

⇒ 10x - 8/3 - 4x = 6x

Now, We can simplify as,

⇒ 10x - 8/3 - 4x = 6x

Combine like terms,

⇒ 6x - 8/3 = 6x

⇒ 6x - 6x = 8/3

⇒ 0 ≠ 8/3

Which is not possible.

Thus, There is no solution of expression.

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Answer: 4/64

Step-by-step explanation:

Since 1/4 * 4 = 1

We just have to multiply 1/64 times 4 to get the answer

1/64 * 4 = 4/64

Answer:

Car will cover 16 miles in 1 gallon of the gas.

Step-by-step explanation:

We can solve this question by unitary method.

∵ A car used [tex]\frac{1}{64}[/tex] gallons of gas to drive the distance = [tex]\frac{1}{4}[/tex] miles

∴ Car used 1 gallons to drive the distance = [tex]\frac{\frac{1}{4} }{\frac{1}{64} }[/tex]

= [tex]\frac{64}{1}\times \frac{1}{4}[/tex]

= [tex]\frac{64}{4}[/tex]

= 16 miles

Therefore, car will cover 16 miles in 1 gallon of the gas.

Answer:

a. y = 6x + 11

Step-by-step explanation:

distribute and rearrange into slope-intercept form.

y - 5 = 6x + 6

add 5 to both sides

y = 6x + 6 + 5 ⇒ y = 6x + 11

Answer: Hello mate!

our equation is y - 5 = 6(x + 1), and we want to rewrite it in the slope-intercept form.

First lets distribute the parenthesis.

y - 5 = 6(x+1) = 6x + 6

now let's add 5 in both sides.

y-5 + 5 = 6x + 6 + 5

y = 6x + 11

Then the correct answer is the option A.

Answer:

the answer is 8 because when you set the equation equal to 12 and solve it you get 12

Step-by-step explanation:

Final answer:

To find the input for f(x) = 2x + 4 when the output is 12, solve the equation 12 = 2x + 4 for x, resulting in the input-value x being 4, with the ordered pair being (4, 12).

Explanation:

The question concerns finding the input for a given function when the output is known. The function provided is f(x) = 2x + 4, and we want to find the input value, or x, that produces an output, or f(x), of 12. To do this, we set up an equation where 12 = 2x + 4 and solve for x.

We first subtract 4 from both sides of the equation to get 8 = 2x. Then, we divide both sides by 2 to isolate x, resulting in x = 4.

The ordered pair representing the input-output relationship for the function when the output is 12 is (4, 12).

Answer:

The cost of a shirt is $16 and the cost of a sweater is $33

Step-by-step explanation:

Let

x -----> the cost of a shirt

y -----> the cost of a sweater

we know that

[tex]3x+2y=114[/tex] -----> equation A

[tex]2x+4y=164[/tex]----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (16,33)

see the attached figure

therefore

The cost of a shirt is $16 and the cost of a sweater is $33

Answer:

The cost of each shirt is 16$ and the cost of each sweater is 33$

Solution:

Let us consider “x” as the cost of each shirt and “y” as the cost of each sweater.

From question, Andrea has bought 3 shirts and 2 sweaters for 114$. Hence we form equation as,

3x + 2y = 114 ------  eqn 1

Similarly, Andrea has bought 2 shirts and 4 sweaters for $164. Hence we form equation as,

2x + 4y = 164 ----- eqn 2

By solving equation 1 and equation 2, we get the value of “x” and “y”.

On multiplying equation 1 by 2,we get  

6x + 4y = 228 -------- eqn 3

Now solving eqn 2 and eqn 3

6x + 4y = 228                      

-2x - 4y = -164      

4x + 0y = 64

4x = 64

[tex]x =  \frac{64}{4}[/tex]

x = 16

Substituting the value of x in eqn 1, we get

3(16) + 2y = 114

48 + 2y = 114

2y = 114 - 48

2y = 66

[tex]y = \frac{66}{2}[/tex]

y = 33

Thus the values of x and y are 16 and 33. So the cost of each shirt is 16$ and the cost of each sweater is 33$

Answer:

one solution

Step-by-step explanation:

Given two equation

y = -x+4 ... (1)

x+2y = -8 ...(2)

Substituting equation (1) into (2), we will have;

x+2(-x+4) = -8

Opening the bracket up

x-2x+8 = -8

-x = -8-8

-x = -16

x = 16

Substituting x = 16 back into equation 1:

y = -16+4

y = -12

This shows that the linear equation has one solution (16,-12)

[tex]\bf -27x^6b^9~~ \begin{cases} -27=&-3^3\\ x^6=&x^{2\cdot 3}\\ &(x^2)^3\\ b^9=&b^{3\cdot 3}\\ &(b^3)^3 \end{cases}\implies (-3)^3(x^2)^3(b^3)^3\implies (-3x^2b^3)^3[/tex]

Answer:

5 ≥ 0

Step-by-step explanation:

9w - 4w +6 ≥ 1 + 5w.

Subtract 9w - 4w = 5w.

5w + 6 ≥ 1 + 5w.

Subtract 1 from each side.

5w + 6 - 1 ≥  1 - 1 + 5w

5w + 5 ≥ 5w

Subtract 5w from each side

5w - 5w + 5 ≥ 5w -5w

5 ≥ 0

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Answer:

950000

Step-by-step explanation:

the rule with rounding is if the number to the direct left is under 5, it stays the same but if it is 5 or above, you round up and everything behind becomes zeroes.

Answer:

the 9s are in the millions and hundred thousands

Step-by-step explanation:

Answer:

10 1/6

Step-by-step explanation:

61/6= 10.1666667

Answer: 10 1/6

Divide using long division, the whole number proportion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Answer:

13 --> 10

21 --> 20

29 --> 30

Answer:

The correct answer is: 10-20-30

Step-by-step explanation:

13 is between 10 and 20. The closest 10 for 13 is 10, because it's only 3 away (13  the other option would be 20 but it's 7 away, so way more.)

21 is between 20 and 30. The closest 10 for 21 is 20 ( it's only 1 away from 20, the other option would be 30 but it's 9 away, so way more.)

29 is between 20 and 30. The closest 10 for 29 is 30 (it's only 1 away from 30, the other option would be 20 but it's 9 away, so way more.)

Answer:

17 1/2

Step-by-step explanation:

8 5/8 + 8 7/8

=17 1/2

Answer:

17 1/2

Step-by-step explanation:

8 5/8+8 7/8=...

So, let's take away the fractions for now.

What's 8+8?

Well, 8+8=16.

Now, let's take a look at the fractions.

5/8+7/8=...

Well, when we are adding fractions, the denominator will stay the same. So let's pretend that we are adding 5+7.

5+7= 12. So our answer is 16 12/8 Right?

wrong.

you will simplify the 12/8. Since the numerator is more than eight, we will subtract 8 from 12.

12-8=4

we will make the 8/8 a 1 and add it to the 16 to make it 17 4/8. We can still simplify this. The 4/8 becomes 1/2 making the answer: 17 1/2

Hope this helps!!!

Answer:

B and D

Step-by-step explanation:

Since they're the fractions

Option B and Option D represent rational equation.

A rational equation is defined as any equation that can write in p/q form where q not equal  to zero.

From given option it is observed that,

Option B,   [tex]\frac{1}{2}x-\frac{1}{3} =4-x [/tex]

option D,  [tex]\frac{6}{x}-1=\frac{4}{x-2} [/tex]

Both option have fraction term.

Hence, Option B and Represent rational equation.

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Answer:

80/56 = 1.42

Step-by-step explanation:

Total songs = 136

Number deleted = 56

Number kept = 136-56 = 80

The ratio of songs kept to songs deleted = 80/56 = 1.42

The proportions or ratio are used to compare quantities with each other, and are usually written with a colon (:) intermediate.

10(1/2X + 5) = 8

Happy to help! Please mark me as the brainliest!

The statement 'Ten times the sum of half a number x and 5 is 8' can be translated into a mathematical equation as: 10 * (0.5x+5) = 8.

To write the equation for the given description, we first need to translate the statement into mathematical terms.

The description is 'Ten times the sum of half a number x and 5 is 8'. In mathematics:

'The sum of' is represented by a plus '

So, translating the statement into an equation we get:

10 * (0.5x+5) = 8

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The coordinates of the point is (-5,3)

Let the initial coordinate be:

Initial = (0,0)

5 units to the left of the x-axis represents a horizontal translation left by 5 units.

So, we have:

New = (0 - 5,0)

3 units above the y-axis represents a vertical translation up by 3 units.

So, we have:

New = (0 - 5, 0 + 3)

Evaluate

New = (-5, 3)

Hence, the coordinates is (-5,3)

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Answer:

10

Step-by-step explanation:

$150 minus the base pay of $30 is $120. Divide this by the $12 he makes each delivery. 120/12=10

Answer:

In multi-step problems, one or more problems have to be solved in order to get the information needed to solve the question being asked.

Answer:

B

Step-by-step explanation:

1) Set up the following two equations, because of the absolute value:

3x-6=10

3x-6=-10

2) Solve both equations:

3x=16

3x=-4

3) Divide both sides by 3:

x=16/3

x=-4/3

4) Make fractions proper:

x=5 1/3

x=-1 1/3

Answer:

256m2.

Step-by-step explanation:

Answer:

256m^2

Step-by-step explanation:

Answer:

Second picture: y=4 and x=7

First picture: x=70 degrees y=20 degrees

Step-by-step explanation:

Second picture:

One of the given triangles is an equilateral and the other is an isosceles.

Equilateral triangle has all congruent sides and it's angles are all congruent.

Isosceles triangle has two congruent angles and the opposite sides of those congruent angles are also congruent.

This implies all the side algebraic expression-measurements given are all equal.

5y-4=y+12

Add 4 on both sides:

5y=y+16

Subtract y on both sides:

4y=16

Divide both sides by 4:

y=4

So what is the side measurement for each of the sides given in terms of algebraic expressions?

y+12

4+12

16

Each side given in terms of an algebraic explanation is 16 units.

So we have also the following equation to solve:

3x-5=16

Add 5 on both sides:

3x=21

Divide both sides by 3:

x=7

So x=7 and y=4.

There is only one side in the picture that is possibly not 16. It is the one of the sides in the isosceles, not opposite the base angles.

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

First picture:

We are given x+y=90.

Since that one triangle is an isosceles we know that x+x+(180-40)=180

So let's solve the second equation for x then go back and solve for y in the first equation.

2x+140=180

Subtract 140 on both sides:

2x=40

Divide both sides by 2:

x=20

First equation:

x+y=90

So y=90-x=90-20=70.

Answer:

512 in³

Step-by-step explanation:

Given the volume (V) of a cube is calculated using

V = s³ ← s is the side length

When s = 8, then

V = 8³ = 8 × 8 × 8 = 64 × 8 = 512 in³

Answer: 512 in.³

Step-by-step explanation: To find the volume of a cube, first start with writing down the formula for the volume of a cube which is as followed.

Volume = Length × Width × Height

In this problem, our prism is a cube. Since the length, width, and height of a cube are all equal, we can find the volume of a cube by simply multiply side times side times side or s³.

Volume = Length x Width x Height

Volume = (8) (8) (8)

Volume = 512 in³.

Therefore, the volume of the cube is 512 in.³.

Answer:

3x = 6 + x

Step-by-step explanation:

We can express the product of a number and 3 as:

3x

Where x is the number that we don't know.

Now it says that that product is 6 more than the number (x) so we can write it down:

3x (The product of a number and 3) = (is) 6 + x (6 more than the number)

3x = 6 + x

The sentence 'the product of a number and 3 is 6 more than the number' can be translated into the algebraic equation 3x = x + 6.

The given statement can be translated into a mathematical equation in the following way: If we let x be the number in question, the first part of the sentence tells us that the product of the number and 3 can be modeled as 3x. The second part of the sentence tells us that this is 6 more than the number itself. This can be translated into the equation as x + 6. Thus, putting the two parts together, we get the algebraic equation 3x = x + 6.

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Answer:

$283.05

Step-by-step explanation:

first divide $244.80 by 32, to find out how much you are making hourly. in this case you are making $7.65 an hour

next, multiply $7.65 by 5, to add the 5 hours, in this case you get $38.25.

next, add $38.25 to $244.80 and you get your answer!

Final answer:

To find out how much you would receive for 37 hours of work, set up a proportion using the given information and solve for x. The result is approximately $283.98.

Explanation:

To find out how much you would receive for 37 hours of work, we can set up a proportion using the information given. Since 32 hours of work pays $244.80, we can set up the proportion: 32/244.80 = 37/x. Cross-multiplying, we get: 32x = 244.80 * 37. Simplifying, we find that x = (244.80 * 37) / 32. Calculating the result, we find that you would receive approximately $283.98 for 37 hours of work.

Answer:

5

Step-by-step explanation:

because in 5 buses there could fit 160 students which is more than have rsvpd

Answer:

(a)

Step-by-step explanation:

Basically we're trying to figure out how many groups of 32 students are needed to have more than 140.

To do this, we take 140/32 (*BIG NOTE!! No matter what our answer is, we round up. If we rounded down, we'd be leaving some students behind, and we don't want that.)

140/32 = 4.375 (but remember, we round up no matter what)

so the answer is 5, which is A.

Answer:

30

Step-by-step explanation:

[tex]-15=\frac{z}{-2}\\\\(-15)(-2)=z\\\\30=z[/tex]