An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his 6 nephews and rented five pairs of ice skates.

He was charged $32. Juanita paid admission fees for her seven grandchildren and rented 5 pairs of ice skates. She was charged $35.25. What is the admission fee?

What is the rental fee for a pair of skates?

Answers

Answer 1

Answer:

if we let admission fee per child to be a and the rental fee for the skates  to be s.

Then john 6a + 5s =32

Juanita     7a + 5s = 35.25

Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.

        6a + 5s = 32

        7a + 5s = 35.25

we get -a + 0s = -3.25     therefore a= 3.25

Then we can solve for s by substituting a in either of the two equations

 6 (3.25) + 5s =32

 19.5 + 5s =32

            5s = 12.5

               s = 12.5/5

               s = 2.5

Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.

Step-by-step explanation:


Related Questions

please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)




(cAt)

Answers

Answer:

answer is 2

Step-by-step explanation:

funny pic

please calculate the area for this triangle

Answers

Answer:

30

Step-by-step explanation:

Please can someone help me answer this

Answers

Answer:

½ x 6 x 3=9 which is 9+9+9+9+9

The graph of f(x) = 2x is shown on the grid.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through points (0, 1), (1, 2), (2, 4).

The graph of g(x) = (One-half)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?

On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.

Answers

Answer:

Your answer would be the second option.

Explanation:

As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)

Hope This Helps!

The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

What is exponential growth or decay function?

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

The graph of f(x) = 2x is shown.

it is looking for an exponential decay function, As an exponential function has to be sloping negatively.

Draw the graph of the equation by using the table shown below:

x      f(x)

-2      -4

-1       -2

0       0

The graph the exponential function approaches y = 0 in quadrant 1.

The function increases into quadrant 2 and It crosses the y-axis at (0, 1).

Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

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4. FGH - MNP. Solve for x.

Answers

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{FG}[/tex] = [tex]\frac{NP}{GH}[/tex] , substitute values

[tex]\frac{x}{12}[/tex] = [tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

The solution to the system of equations 2x+3y=18 -9y+z=-23 is (A,B,C) find the 5x-4z=50 values of A,B,and C

Answers

Answer:

6 = A, 2 = B, -5 = C

Step-by-step explanation:

What is the coefficient of the term 5/3 xy?

A. 5xy

B. 5/3

C. 5

D. 1/3

Answers

The answer is A. Look at it and it’s seam like it is A.

test the following statements to see if it’s reversible if so choose the true biconditional

Answers

Answer:

the statement is not reversible

Step-by-step explanation:

Hi there!

We are given the statement "if x=3, then x²=9"

In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9

Reversing the statement would make it so that q is first, then p is after.

In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"

This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways

So we'll need to test if the following statement "if x²=9, then x=3" is true

If you subtract 9 from both sides, x²=9 becomes this equation:

x²-9=0

Using the square of differences formula, where x is a and 3 (square root of 9) is b:

(x-3)(x+3)=0

Now using zero product property:

x-3=0

Add 3 to both sides

x=3

AND:

x+3=0

Subtract 3 from both sides

x=-3

We see that the answers from this equation are x=3 and x=-3.

*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:

If x=3:

(3)²=9

(3)(3)=9

9=9

If x=-3:

(-3)²=9

(-3)(-3)=9

9=9

Hence, the statement doesn't work in the converse

The option "the statement is not reversible" is not the answer.

Hope this helps!

Which direction does the decimal point move in when you divide by powers of 10 greater than 0?

Answers

Answer:

the left side is the answer

the decimal point will move towards right

Help mE ASAPPPPPPPP PLSSSSS

Answers

Answer:

I think its

B) CG

I hope its right

Simplify 2y+4x=16x +6y ​

Answers

The Answer would be y=-3x

What is the range of this relation?
(-5,0)
(8,9)
(-10, 2)
(-1, -3)

Answers

Answer:

{0,9,2,-3}

Step-by-step explanation:

the range is all the ys.

these are all in the format (x, y)

Hope this helps.

PS-If it's a multiple choice question, the numbers might not be in the same order. just pick the one with those numbers.

What is equivalent to 1/3 P +15

Answers

Answer:

1/3(p + 45)

Step-by-step explanation:

1/3 p + 15 is the same as 1/3(p + 45)

-Chetan K

Can-25 be expressed as a ratio in the form?
Yes
No

Answers

Answer:

-25 can be expressed as a ratio of -50/2, -75/3, etc

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

I don’t know what to call it but I need help

Answers

Answer: this is a math test, i presume

on schoology

it’s the third option 63 over 3/8

-4/4 plus 160 percent plus 1/5

Answers

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

SIMPLIFY THESE!! I WILL MARK U BRAINLIEST!!

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

[tex]4^{9}[/tex] × 4³ = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

(b)

[tex]6^{5}[/tex] × 6² = [tex]6^{(5+2)}[/tex] = [tex]6^{7}[/tex]

(c)

[tex]8^{6}[/tex] ÷ 8 = [tex]8^{(6-1)}[/tex] = [tex]8^{5}[/tex]

(d)

[tex]7^{8}[/tex] ÷ [tex]7^{6}[/tex] = [tex]7^{(8-6)}[/tex] = 7²

2
For the following Arithmetic Sequence, find the explicit form, and then find a 40
11, 1,-9, -19, ...
a40 =
an=

Answers

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

IM GIVING OUT BRIANLIEST

Answers

Answer:

3.78

Step-by-step explanation:

2x+4 over 3 - 5x-7 over 2 = 5 solve the equation

Answers

Answer:

x = -1/11.

Step-by-step explanation:

I am interpreting this as:

(2x+4)/ 3 - (5x-7)/2 = 5

Multiply through by the LCM of 2 and 3 ( that is 6):

2(2x + 4) - 3(5x - 7) = 30

4x - 15x + 8 +21 = 30

-11x = 30 - 21 - 8

-11x = 1

x = -1/11.

Dana filled the container with 3.5 liters of water. Her mother used 0.75 liters of water for cooking and 1.25 liters for a drink. How much water was left in the container?

Answers

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

Solve the equations. 81^x^2=27^x

Answers

Answer:  81ײ=27×     x = 6

help me pleaseeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

a) 6305/65= 97

b) 94+94= 188

   306-188= 118

Answer:

a. 87 b. 59

Step-by-step explanation:

typing bc I need to have 20 letters

Work out the mean of √50, √18 and √8.

Give your answer in the form of a√2.

Show full working out.

Thank you!! <3

Answers

[tex]\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}[/tex]

ok done. Thank to me :>

identify the types of each triangle

Answers

Answer:

Step-by-step explanation:

1. right angled (isosceles)

2. acute (equilateral or equiangular)

3. obtuse

5. acute

Answer:

Triangle number one is a right triangle. Triangle two is an equilateral triangle. Triangle three which is below triangle one is an obtuse triangle. The fourth triangle is an acute triangle.

Step-by-step explanation:

One is a right triangle because it has one right angle.

Two is an equilateral triangle because all of the three angles are 60 degrees.

Three is an obtuse triangle because one of the three angles is more than 90 degrees.

Finally, 4 is an acute triangle because all of the three angles are less than 90 degrees

if 8 boxes contain 480 pins how many pin will there be in 3 boxes​

Answers

Answer:

180

Step-by-step explanation:

solve for x:2a+5=11 ​

Answers

Solution:

[tex]2a + 5 = 11 \\ = > 2a = 11 - 5 \\ = > 2a = 6 \\ = > a = \frac{6}{2} \\ = > a = 3[/tex]

Answer:

a = 3

Hope it helps.

Do comment if you have any query.

Suppose that $2000 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from the account.

Answers

The amount in the account after 1 year is $2,040.00

The amount in the account after 2 years is $2,080.80

What is future value of a single cash flow?

The future value of a single cash flow like the $2,000 is the future equivalent worth of the initial amount when interest earned is added to it.

The future value in this case can be determined as shown thus:

FV=PV*(1+r)^N

FV=unknown future value

PV=initial investment=$2000

r=interest rate=2%

N=years of investment , 1 and 2 years respectively

FV after one year:

FV=$2000*(1+2%)^1

FV=$2,040.00

FV after  two years:

FV=$2000*(1+2%)^2

FV=$2,080.80

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Full question:

Suppose that $2000 is placed in an account that pays 2 % interest compounded each year. Assume that no withdrawals are made from the account.

Find the amount after one year. Find the amount after two years

What is the topic of a piece of informational writing? (100 point)


A. the meanings of words


B. the way the writer feels about the subject


C. the subject or focus


D. the way information is grouped

Answers

Answer:

the topic of a piece of informational writing: C. the subject or focus

The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).

What is information writing?

Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.

It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.

The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.

Therefore, the correct answer would be option (B).

Learn more about the Information writing to click here:

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4t=-10
the operation would be multiply and i got the answer which is 2.5
i just don’t know if it’s an inverse or a reciprocal.
can anyone help? thanks !

Answers

~one variable linear equation

4t = -10

t = -10 ÷ 4

t = -2,5 ✔️

So, the answer is -2,5 no 2,5

~ nice to help you ^^

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