Last week, Benjamin spent $82.80 on groceries and $132.48 on bills. The amount he spent on groceries
was 15% of his paycheck. What percent of his paycheck did Benjamin spend on bills?

Answer:

325

Step-by-step explanation:

Let the number of adult tickets sold be x

Therefore, number of students tickets sold = x + 66

Since,

Number of adult tickets + number of student tickets = 716

Therefore,

x + x + 66 = 716

2x + 66 = 716

2x = 716 - 66

2x = 650

x = 650/2

x = 325

Hence, 325 adult tickets were sold.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total events = 75

A + B + C = 75  --------------(I)

State A had hosted the sporting event 9 more times then state C.

A = C + 9 ---------------------(II)

Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.

A + C = 4B + 5  ---------------------(III)

Substitute A = C + 9 in (III)

C + 9 + C = 4B + 5

   2C + 4 = 4B  + 5

        2C  = 4B + 5 - 9

       2C  = 4B - 4

Divide the whole equation by 2

   2C/2  = 4B/2  - 4/2

        C = 2B  - 2 -------------(a)

Plugin the C = 2B - 2 in (II)

A = C +  9

A = 2B - 2 + 9

A = 2B + 7 ------------------(b)

Plugin the value of A & C from (a) & (b) in equation (I)

A + B + C = 75

2B + 7 + B + 2B - 2 = 75

Add the like terms

2B + B + 2B + 7 - 2 = 75

5B + 5 = 75

5B = 75 - 5

5B = 70

B = 70/5

B = 14

Plug in B value in equation (a)

C = 2B - 2

C = 2*14 -2

  = 28 - 2

C = 26

Plugin B value in equation (b)

A = 2B + 7

  = 2*14 + 7

 = 28 + 7

A = 35

State A has hosted 35 times

State B has hosted  14 times

State C has hosted 26 times

Fun fact:

The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.

Cool right? Here are more fun facts.

1 “I am” is the shortest complete sentence in the English language.

2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.

Like that?

Banging your head against a wall for one hour burns 150 calories.

In Switzerland it is illegal to own just one guinea pig.

Answer:

1,517

Step-by-step explanation:

360 times 4 equals 1440. 1440 + 77 is 1517.

Answer: y = - 1

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

-16y - 7y + -5 = 18

~combine like terms

-23y + (-5) = 18

~add 5 to both sides to get -23y by itself

-23y = 23

~divide by 23 on both sides to get just y by itself

-1 = y

Hope this helps!!

Please mark as brainliest, i need it to get to next lvl <3

Answer:

x = 13

Step-by-step explanation:

a^2 + b^2 = c^2

5 = a     12 = b

5^2 + 12^2 = c^2

25 + 144 = c^2

c^2 = 169

square root of 169 = 13

Answer:

the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

3(4) + 4 (5)

  4+5+9

  3+4=7

    7+9

     16

Answer:

x=2

Step-by-step explanation:

use distributive property for the first part the solve like usual

hope this helped

6(2x -3) - 8 = -2 (remove the parantheses)

12x - 18 - 8 = -2 (calculate)

12x - 26 = -2 (move the constant to the right)

12x = -2 + 26 (calculate)

12x = 24 (divide both sides)

x = 2

Answer:

y= -4x-7 or 4x+y= -7

Step-by-step explanation:

we know y=mx+c

given,

m=-4 c=-7

the equation y= -4x-7 or 4x+y= -7

thank u

Answer:

y=-4x-7

Step-by-step explanation:

Hi there!

We are given that the slope of a line is -4, and the y intercept of this same line is -7

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name

As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation

Let's start with the slope; substitute -4 as m in the equation

y=-4x+b

Now with the y intercept; substitute -7 as b into the equation

y = -4x - 7

Hope this helps!

See more on this topic here: https://brainly.com/question/22607472

Answer: The answer is skew!

Step-by-step explanation:h

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew.

From the diagram, we have two planes.

Line AC is on plane x, while line RS is on plane y

Plane x and plane y are not parallel;

So lines AC and RS are not parallel.

Also, both lines are not parallel.

Using the condition of skewness stated above, we can conclude that line AC and RS are skew.

Read more about skewness at:

https://brainly.com/question/1995934

Answer:

where

is

the

attachment

bruv?

Answer:

We wouldn't know because we have no information on the marbles.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Good luck!

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

Answer: B

Step-by-step explanation:

To find out how far the turtle went in 16 seconds you have to multiply 16 and -8

Answer:

I have the same question on test and answer is B

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

-2°F

Step-by-step explanation:

The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.

-17 + 15 = -2°F

Similar triangles have a scale factor that determine the length of each side.

15 / 7.5 = 2

The scale factor = 2

17 / 2 = 8.5

y = 8.5

Answer:

97 minutes

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

-8+8=0

x = - 6

y = - 2

-3x + 5y = 8  | ×(-2)

-2x + 7 y = -2​ | ×3

6x - 10y = - 16

- 6x + 21y = - 6

add

6x - 6x - 10y + 21y = - 16 - 6

11y = - 22

y = - 22 : 11

y = - 2

replace y

- 2x + 7(-2) = - 2

- 2x - 14 = - 2

- 14 + 2 = 2x

2x = - 12

x = - 12 : 2

x = - 6

Answer:

B

Step-by-step explanation:

hope you get the best grade

Answer:

3 hours

Step-by-step explanation:

49-28=21

21/7=3

Answer:

A. 0.0746

Step-by-step explanation:

Because it is in the thousandths place

Answer:

feet=4.91667

inches=708

Step-by-step explanation:

Answer:

4 ft. 11 in.

Step-by-step explanation:

Step 1:

59 ÷ 12

Step 2:

4   r 11

Answer:

4 ft. 11 in.

Hope This Helps :)

Answer:

[tex] QR = 23 [/tex]

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

[tex] PQ = 4x - 1 [/tex]

[tex] QR = 3x - 1 [/tex]

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

[tex] PQ + QR = PR [/tex]

[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)

Solve for x

[tex] 4x - 1 + 3x - 1 = 54 [/tex]

Combine like terms

[tex] 4x + 3x - 1 - 1 = 54 [/tex]

[tex] 7x - 2 = 54 [/tex]

Add 2 to both sides

[tex] 7x - 2 + 2 = 54 + 2 [/tex]

[tex] 7x = 56 [/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{56}{7} [/tex]

[tex] x = 8 [/tex]

[tex] QR = 3x - 1 [/tex]

Plug in the value of x into the equation

[tex] QR = 3(8) - 1 = 24 - 1 [/tex]

[tex] QR = 23 [/tex]