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3 years ago

At Open Skate Night, admission is $3.50 with a membership card and $4.00 without a membership card. Skate rentals are $2.00.

Mathematics

2 answers:

Step2247 [10]3 years ago

5 0

Aiden will get $2.50 change back

zaharov [31]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

The rent for an apartment is $800 per month. The landlord charges one month's rent as a deposit plus a nonrefundable damage cost

Step2247 [10]

Answer:

800n+1050

Step-by-step explanation:

800(n+1)+250 = 800n+800+250 = 800n+1050.

Hope this helps!

Good luck with your test + I hope you do well on it.

Please mark me as brainliest!

3 0

2 years ago

31 20 25 25 Find the perimeter

Anvisha [2.4K]

Answer:

101

Step-by-step explanation:

31+20+25+25=101

5 0

2 years ago

Read 2 more answers

2. I am thinking of a number. It is multiplied by 9. The product is 27. What is my number? (1 point)

Nitella [24]

Answer:

$x9 = 27 \\ x = 3$

5 0

3 years ago

Read 2 more answers

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00

10x + 15y = 333

and we have the linear system

8x + 13y = 282.60

10x + 15y = 333

which can be written in matrix form as

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)$

The solution would be given by

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)$

We have

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)$

hence

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)$

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0

3 years ago

Just number 7 would be fine but if you could also number 8 would help a lot

BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

r + 2 - 8r = -3 - 8r

Step 2: Solve for r

Combine like terms: -7r + 2 = -3 - 8r
Add 8r to both sides: r + 2 = -3
Subtract 2 on both sides: r = -5

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r: -5 + 2 - 8(-5) = -3 - 8(-5)
Multiply: -5 + 2 + 40 = -3 + 40
Add: -3 + 40 = -3 + 40
Add: 37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

Step 4: Define equation

-4x = x + 5

Step 5: Solve for x

Subtract x on both sides: -5x = 5
Divide -5 on both sides: x = -1

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -4(-1) = -1 + 5
Multiply: 4 = -1 + 5
Add: 4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

8 0

3 years ago

Read 2 more answers