Three friends went to the fair. Each paid $5.00 to enter and went on r rides, paying $0.90 per person for each ride. Which expression shows how many dollars they paid in all? A. 3(0.9) +5r
B. 3(5 + 0.9r)
C. (5) + 0.9r
D.3(5) + 3(0.9)

2.Susan and Tom want to know the combined amount of money they earned last week. They both earned $9 per hour, but Susan also earned a $45 bonus. Susan added her earnings to Tom's earnings to write the expression (9S + 45) + 9T, where S is the number of hours she worked, and Tis the number of hours Tom worked. Tom added their combined hourly wages to Susan's bonus to write the expression 9(S + T) + 45. Which of the following statements is true?
A.They are both correct, and their expressions are equivalent.
B.They are both correct, and their expressions are not equivalent.
C.Only one of them is correct, and their expressions are equivalent.
D Only one of them is correct, and their expressions are not equivalent.

3. Amanda and Trinity each wrote an expression, but only Amanda's expression is equivalent to 2x + 5. What could be Trinity's expression?
A.2(x+3)-1
B.3x-(x-5)
C.5(x+1)-3x
D.5x-3(x-1)

Answers

Answer 1

Answer:

1. B, 2. A, 3. D

Step-by-step explanation:

Question 1One off fee: $5Each ride: $0.90Number of rides: r

Total payment:

3(5 + 0.9r)

Correct choice is B

Question 2

Since

9S + 45 + 9T = 9S + 9T + 45 = 9(S + T) + 45, the expressions are equivalent and therefore both Susan and Tom are correct

The true statement is A

Question 3

Let's compare the expressions with Amanda's expression

A. 2(x + 3) - 1 = 2x + 6 - 1 = 2x + 5, equivalentB. 3x - (x - 5) = 3x - x + 5 = 2x + 5, equivalentC. 5(x + 1) - 3x = 5x + 5 - 3x = 2x + 5, equivalentD. 5x - 3(x - 1) = 5x - 3x + 3 = 2x + 3, not equivalent so this is Trinity's expression

Related Questions

what's the value of given expression

[tex] \sqrt{21 + 79} [/tex]

Answers

Answer:

√ 21 + 79

= 10

In an endurance race, Alyson rode her bicycle 7 miles less than Jeff. Together they rode 39 miles. How far did Alyson ride?

Answers

Answer:

Distance cover by Alyson = 16 miles

Step-by-step explanation:

Given:

Distance cover together = 39 miles

Assume;

Distance cover by Jeff = a

Distance cover by Alyson = a - 7

Find:

Distance cover by Alyson

Computation:

a + (a - 7) = 39

2a - 7 = 39

2a = 46

a = 23

Distance cover by Alyson = a - 7

Distance cover by Alyson = 23 - 7

Distance cover by Alyson = 16 miles

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school. If Angela works alone, it will take her five and a half hours. If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

Answers

Answer:

3.08 hours

Step-by-step explanation:

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours.

If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

This is calculated as:

The Number of hours they worked together = T

1/5.5 + 1/7 = 1/T

= 7 + 5.5/(5.5)(7)

= 12.5/38.5

1/T = 12.5/38.5

Cross Multiply

12.5T = 38.5

T = 38.5/12.5

T = 3.08 hours

The time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

[tex]W_1=\dfrac{1}{n}[/tex]

In preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours. The work done by Angela in one hour is,

[tex]A=\dfrac{1}{5.5}\\A=\dfrac{2}{11}[/tex]

If Brandon works alone, it will take him 7 hours. The  work done by Brandon in one hour is,

[tex]B=\dfrac{1}{7}[/tex]

The work done in one hour, when the work together,

[tex]A+B=\dfrac{2}{11}+\dfrac{1}{7}\\A+B=\dfrac{14+11}{77}\\A+B=\dfrac{25}{77}\\A+B=\dfrac{1}{3.08}[/tex]

Thus, the time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

Learn more about the work and time here;

https://brainly.com/question/25572872

solve the inequality -d ≥ 0.5

Answers

Answer:

d ≤ -0.5

Step-by-step explanation:

Multiply each term by -1

Rob is flying a kite with a string that makes a 70-degree angle with the ground. If the kite string is 27 meters long, how high is the kite above the ground?

(Please use the exact ratio to calculate the missing side and round your answer to the nearest hundredth.)

The kite is meters above the ground.

Answers

Answer:

25.37

Step-by-step explanation:

Use SOH or Sin∅=[tex]\frac{opposite}{hypotenuse}[/tex]

So Sin(70)= [tex]\frac{x}{27}[/tex]

Multiply both sides of the equation to end up with 27Sin(70)=x

Plug into your calculator in degrees and you get 25.37m

I don't understand help​

Answers

They subtracted 1/3 from both sides instead of dividing 1/3 from both sides

Answer:

[tex]x= 15[/tex]

Step-by-step explanation:

Francisca's mistake was that when she had an equation [tex]5 = \frac{1}{3} x[/tex] instead of dividing both sides by  [tex]\frac{1}{3}[/tex]  she substracted  [tex]\frac{1}{3}[/tex]  from both sides. So the correct way would be...

[tex]5 = \frac{1}{3} x\\\\(5)(3) = (\frac{1}{3} x )(3)[/tex]

[tex]15 = x[/tex]

All 50 digits of pi.
(Giving brainliest to first correct answer.)

I’m trying to figure out how this thing works. I’ve never asked a question.

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510

Step-by-step explanation:

Step-by-step explanation:

172738192739q0wiw7uqsjs

What is the value of the expression you wrote in problem 3?

Answers

Answer:

??????????????????????????

Step-by-step explanation:

the table below shows the points scored by green bird players. what was the median number of the points scored ​

Answers

Answer: Sorry

Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(

For a school fundraiser, Jessica will make T-shirts. She will order T-shirts and print graphics on them. Jessica must spend $255 on a printing machine and
$6.80 per shirt for the blank shirts, Ink, and other supplies.
Part
What is the maximum number of T-shirts Jessica can make with a budget of $1,000?
Explain your answer or show your work:

Answers

You’d need to start by subtracting initial cost from the budget, so

1000-255= 745

You then divide the 745 by the cost of making each shirt,

745/6.80= 109.56

Since you can’t make .56 of a shirt, and the budget says we can’t round up, you can only make 109 shirts.

Hope that helps!

Find the perimeter of A ABC. If necessary, round to the nearest tenth.

Answers

Answer:

37.6

Step-by-step explanation:

A to B - just count up the numbers, it's 10

B to C - just count up the numbers, it's 12

A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6

And just add them together 10+12+15.6 to get 37.6

-4x – y = 24
Complete the missing value in the solution to the equation.

Answers

Answer:

x = -5

y = 1

Step-by-step explanation:

-4(-5)-1=24

25-1=24

24=24

Answer: x= -6, y= 6

Step-by-step explanation:

What is an equivalent ratio to 5:10?

Answers

Answer:

1:2

Step-by-step explanation:

Its just like fractions

You can simplify it.

what is the LCM of 5 and 7

Answers

Answer:

35

Step-by-step explanation:

Answer:

the answer is 35.

Step-by-step explanation:

PLS HELP a parabola has the equation y = 4x^2 + bx -2 and the equation for the axis of symmetry is x = -1.

Answers

Answer:

Step-by-step explanation:

Remark

Unless you know calculus, the only way to solve this is by completing the square.

Solution

y = 4x^2 + bx - 2

y = 4(x^2 + b/4 ) - 2

y = 4(x^2 + b/4 + (1/2b/4)^2 ) - 2 - 4*(b/8)^2

y = 4(x^2 + b/4 + (b/8)^2 ) -  2 - b^2/16

y = 4(x + b/8)^2 - 2 - b^2/16

Now what you want to happen is to give b/8 a value of 1 so that when x is put in -1 you get 0 for  what is inside the brackets.  

b/8 = 1

b = 8

y = 4(x + 1)^2 - 2 - (8)^2 / 16

y = 4(x + 2)^2 - 2 - 4

y = 4(x + 1)^2 - 6

The vertex is at (-1, - 6)

The axis of symmetry  is x = - 1

Note

This could have been done a lot shorter just by realizing that the number inside the brackets had to be + 1 as in (x + 1). But then you would not have been able to know the minimum value for y which is - 6

how many terms are in the given expression 7x+5w+23t+3

Answers

Answer:

4

Step-by-step explanation:

7x 5w 23t 3

Which of the following angle measurements would you find in an equilateral triangle?
A. 45°, 45°, 45°
B. 45°, 45°, 90°
C. 50°, 50°, 50°
D. 60°, 60°, 60°

Answers

Answer:

D. 60, 60, 60

Step-by-step explanation:

In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!

The angle measurements found in an equilateral triangle are 60°, 60°, 60°

What is an Equilateral Triangle?

An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.

We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.

For a triangle with equal sides, it implies that each length will possess;

= 180°/3

= 60° each.

Learn more about equilateral triangles here:

https://brainly.com/question/17264112

Will mark BRAINLIEST! Show work ​

Answers

Answer:

15%

Step-by-step explanation:

1. Subtract final value from starting value

65 - 55.25 = 9.75

2. Divide 9.75 by original number

9.75/65 = 0.15

3. Multiply quotient by 100 to get percentage

0.15 x 100 = 15%

What is the greatest common factor of 32, 44, and 48?

Answers

Answer:

4

Step-by-step explanation:

Jazmine's bakery shop Sells doughnut boxes for $10, In addition $5 for the toppings

Answers

Answer:

y=10+5x

Step-by-step explanation:

Have a great day

Leon has $50 in a savings account that earns 10% interest, compounded annually. To the nearest cent, how much interest will he earn in 2 years?

Answers

Answer:

$10.50

Step-by-step explanation:

Interest = future value - amount saved

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

$50 x (1.1)^2 = $60.50

Interest = $60.50 - $50 = $10.50

how do u solve rational exponent equations​

Answers

Equations in which a variable expression is raised to a rational exponent can be solved by raising both sides of the equation to the reciprocal of the exponent. The reason the expression is raised to the reciprocal of its exponent is because the product of a number and its reciprocal is one.

For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle. Round answers to the nearest hundredth if necessary.

Answers

Answer:

wish i culd help

Step-by-step explanation:

What is the area of the polygon below.

Answers

Answer:

336 ft²

Step-by-step explanation:

The figure is composed of a rectangle and a right triangle

A of rectangle = length × breadth = 24 × 12 = 288 ft²

A of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 32 - 24 = 8 ft and h = 12 , then

A of Δ = [tex]\frac{1}{2}[/tex] × 8 × 12 = 4 × 12 = 48 ft²

composite area = 288 + 48 = 336 ft²

10.) Your dad is planning to increase the area of your rectangular patio. Your current patio is 8
feet by 10 feet, and your dad plans to double its area by adding the same amount x to its length
and width. Find the value of x, and the new dimensions of the patio.

Answers

Answer:

x = 3.69 feet

11.69 x 13.69 feet

Step-by-step explanation:

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Answer:

x = 3.69 feet

11.69 x 13.69 feet

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Can someone help me pls

Answers

Answer:

Yes it is tangent because it is touching a certain point

Step-by-step explanation:

Heres a pic i found of an example and it looks exactly like that one

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.

  5² + 12² = 25 +144 = 169 = 13²

These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.

  Yes, AB is a tangent.

HELP PLEASE GIVING BRAINLIEST!!!

Answers

Answer:

161

Step-by-step explanation:

161 bc it is the same as angle 3



9+7x=4x-9 Solve for X.. Help?

Answers

Answer:

-6 srr if you get it wrong

Step-by-step explanation:

9 + 7x = 4x - 9

7x - 4x = - 9 + (- 9)

3x = -18

x = -6

60 degrees 30 degrees 72 degrees 46 83 97 215 457

Answers

pretty sure its 97° i might be wrong

in triangle ABC, M angle A = 36 degrees and m angle B =92 degrees. what is the measure if angle C

Answers

Answer:

angle c is 52 degrees

Step-by-step explanation:

92+36=128

180-128=52

i hope that's right...

Answer:

52

Step-by-step explanation:

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