Mathematics High School

The drama club is having a car wash as a fundraiser. They wash x cars at $5 each
and y trucks at $8 each. They will wash at least 26 cars and 15 trucks. They need to
make at least $250. Which system describes this situation?

Answers

Answer 1

Answer:

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

Related Questions

Two cars travel the same distance. Car 1 travels at 50 mph and car 2 at 65 mph. If it takes car 1 one more hour to travel than car 2, how far did the cars travel?

Answers

216 2/3 mi distance they travelled

Which of the following shows 2x3y − 3x2 + 7y2x − 12y written in standard form?
a 2x3y + 7y2x − 3x2 − 12y
b −12y + 7y2x − 3x2 + 2x3y
c 7y2x − 12y + 2x3y − 3x2
d −12y − 3x2 + 7y2x + 2x3y

Answers

Answer:

a) 2x³y + 7y²x − 3x² − 12y is the right answer.

Step-by-step explanation:

Which of the following shows 2x³y − 3x² + 7y²x − 12y written in standard form?

a) 2x³y + 7y²x − 3x² − 12y✓

b) −12y + 7y²x − 3x² + 2x³y

c) 7y²x − 12y + 2x³y − 3x²

d) −12y − 3x² + 7y²x + 2x³y

Answer:

2x^3 y + 7y^2 x − 3x^2 − 12y

Step-by-step explanation:

(Just took test)

In order for it to be in standard form in needs to be in the proper order. So just rearrange the numbers to the correct spots to get your answer.

Please help me. You will be marked brainliest.

Answers

Answer:

What do you need help with?

Step-by-step explanation:

state if polygons are similar

Answers

Answer:

yea its is

Step-by-step explanation:

what is the rate unit for 1700 meters in 40 minutes



please help

Answers

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

What is the slope of the line: y = 2x - 1?​

Answers

Answer:

m=2

Step-by-step explanation:

The model represents an equation. What value of x makes the equation true?

Answers

Answer:

x=2,25=2 1/4

Step-by-step explanation:

-3x+10=5x-8

10+8=8x

x=2,25=2 1/4

15 x -3=?

5
45
-45
-5

Answers

Answer:

- 45

hope it's helpful ❤❤❤❤

THANK YOU.

russia help me! pls pls​

Answers

The answer for the question is 4

what is the y intercept of the line given by the equation below
y=-10x+14​

Answers

Answer:

(0, 14) is the y-intercept

Answer:

14 is the y-intercept

Step-by-step explanation:

10 would be the slope so that leaves 14 which is the y intercept

a case of fruit weighs 53 kilogram and another weighs 47 kilograms how much weight must be removed from the first case and placed in the second is that they both equal

a . 2 kilograms
b . 4 kilograms
c . 6 kilograms
d . 8 kilograms ​

Answers

None of those it will be 3

There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Fruit weight = 53 kilograms

And, Another weight = 47 kilograms

Now,

Let number of kilograms weights to remove and add = x

So, We can formulate;

⇒ 53 - x = 47 + x

Solve for x as;

⇒ 53 - 47 = x + x

⇒ 6 = 2x

⇒ 2x = 6

⇒ x = 3

Thus, There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

Learn more about the subtraction visit:

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Somebody help plz I need some help

Answers

Answer:

[C] 44°

Explanation:

That Is A Right Angle, So x° + 46° Needs To Equal 90°

Equation: x + 46 = 90

Subtract 46 From Both Sides

x + 46 - 46 = 90 - 46

x = 44

B = 44°
Answer:
C. 44°
Explanation:

A bakery is filling an order for 180 cupcakes. Jeff has baked and
decorated 75% of the cupcakes. How many cupcakes has been baked
and decorated?

Answers

Answer:

135 cupcakes

Step-by-step explanation:

Mrs. Wright makes cookies for the school bake sale. She uses the equation y = 0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? The Answer choices are......
A.50 cookies per dollar
B. 5 cookies per dollar
C.$0.50 per cookie
D.$2 per cookie

Answers

Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

Guys, I really need that help T-T.
The side lengths of a triangle are 5,√3,√28. Is the triangle a right triangle? How would I solve this?

Answers

I’m not good at explaining but I’ll try.

Legs: 5, √3. Hypotenuse: √28

So your legs are: a and b, and ur hypotenuse is c

a^2+b^2=c^2
Which means

5^2+√3 has to equal to √28^2.

Let’s solve it

5^2+√3^2= √28^2

= 25+3=28

28=28

So that is a right triangle.


First to Answer:

The triangle would be a cute Scalene Triangle!

Here's all that you really can do with solving that

√28 =5.29150262213

√8 = 2.82842712475

Side a = 2.8

Side b = 5

Side c = 5.2

Angle ∠A = 31.788° = 31°47'18" = 0.55481 rad

Angle ∠B = 70.167° = 70°10'0" = 1.22464 rad

Angle ∠C = 78.045° = 78°2'42" = 1.36214 rad

Area = 6.84817

Perimeter p = 13

Semiperimeter s = 6.5

Height ha = 4.89155

Height hb = 2.73927

Height hc = 2.63391

Median ma = 4.9051

Median mb = 3.34515

Median mc = 3.10805

Inradius r = 1.05357

Circumradius R = 2.65764

Vertex coordinates: A[0, 0] B[5.2, 0] C[4.25, 2.63391]

Centroid: [3.15, 0.87797]

Inscribed Circle Center: [3.7, 1.05357]

Circumscribed Circle Center: [2.6, 0.55051]

After paying $8.07 for a pizza, Jessica has $9.72. How much money did she have before buying the pizza?

Answers

Answer:

$17.79

Step-by-step explanation:

9.72+8.07=17.79

Answer:

$17.34

Step-by-step explanation:

Just add

$8.07+$9.72

what is the sum of -3x + 9x​

Answers

Answer: I believe the answer is 6x.

Answer:

6x

Step-by-step explanation:

the -3x cancels out 3 from the 9x making it 6x :)

What is the volume of the tent?

Answers

The answer is 192


Explanation

20% of a number is 12.
what is the whole number?

Answers

60 would be the answer since 12•5=60 and 20•5=100

Answer:

60 that is the answer

Step-by-step explanation:

pls help due asap
Thanks in advance

Answers

Answer:

Angle ABF is 120°.

Step-by-step explanation:

Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.

please help me with this will give you brainliest

Answers

Answer:

M6 = 116

M8 = 116

Step-by-step explanation:

M6 = 180-64 = 116

M8 = 116

Volume?? Please help giving out brainliest and 12 points for answering

Answers

Answer:

1395

Step-by-step explanation:

Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid

volume of rectangular prism is 15·9·7=945

volume of pyramid is (15·9·10)/3=450

add

450+945=1395

what is 8u+17=17 what is u = to

Answers

Answer:

[tex]8u+ 17 = 17 \\ 8u = 17 - 17 \\ 8u = 0\\ u = \frac{0}{8} \\ \boxed{u = 0}[/tex]

u=0 is the right answer.

you would try to isolate u first. to do this, subtract 17 from each side. you should have 8u=0. then, divide 8 from each side. you should have u=0.

which of the graphs shows the solution to the inequality?

p < -2

Answers

Answer:

Graph C

Step-by-step explanation:

Since p is less than negative 2, it would be going to the left.

The dot also is hollow because -2 is not included.

Kim’s family invested $3000 in a certificate of deposit (CD) for her when she was born. the interest rate is 8% and is compounded quarterly. what is the value of the CD in 5 years? what is the value of the CD if it is compounded annually for 15 years?

Answers

Answer:Kim’s family invested $3000

Step-by-step explanation:

The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.

The interest rate is 8% per year, so the interest rate per quarter is 8% / 4 = 2%.

The value of the CD at the end of each quarter can be calculated using the formula:

CD value at end of quarter = CD value x (1 + interest rate per quarter)

For example, at the end of the first quarter, the CD value would be:

CD value at end of first quarter = $3000 x (1 + 0.02) = $3060

You can repeat this process for each quarter to find the CD value at the end of 5 years.

After 5 years, there will have been 20 quarters (5 years x 4 quarters per year), so the CD value at the end of 5 years will be:

CD value at end of 5 years = $3000 x (1 + 0.02)²⁰ = $4393.84

To find the value of the CD if it is compounded annually for 15 years, you can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:

CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01

To learn more about Compound interest click here:

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Simon makes a model of a boat, using a scale of 1 : 30


If the model has a height of 40 cm, find the height of the real boat.


Give your answer in metres.

Answers

Answer: 12 metres

Step-by-step explanation:

The scale factor used for the model is 1 : 30.

This means that for any 1cm on the model, the real boat would be 30 cm.

If the height is 40 cm on the model, the real boat will be 30 times that:

= 40 * 30

= 1,200 cm

A metre is equivalent to 100cm.

1,200 cm would therefore be:

= 1,200/100

= 12 metres

X plus 10% = 132 what is X

Answers

Answer:

In Math An X means multiplication/multiply.

The perimeter of the triangle below is 8x - 6.

Q

X + 1

P.

R

3x - 1

Which expression rrepresents the length of QR ?


helpppp

Answers

Answer:

QR = 4x - 6

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.

From the question:

Perimeter of triangle PQR = PQ + PR + QR

But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.

Therefore substituting gives:

8x - 6 = (x + 1) + (3x - 1) + QR

8x - 6 = (x + 3x + 1 - 1) + QR

8x - 6 = 4x + QR

QR = (8x - 6) - 4x

QR = 4x - 6

Graph the function for the given domain.

y = x2 − 4 D:{−2, −1, 0, 1, 2}

Answers

Answer:

HOPING THIS HELPED YOU! MARK ME 5\

Step-by-step explanation:

what is 10% of 50 ??

Answers

Answer:

5

Step-by-step explanation:

10% = 0.1

0.1*50 = 5

Answer:

5

Step-by-step explanation:

10 percent *50 =

( 10:100)*50 =

( 10*50):100 =

500:100 = 5

Now we have: 10 percent of 50 = 5

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