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Lostsunrise [7]
3 years ago
13

Maxwell bought a new pair of skis for $350. He put $110 down and received a students discount of $30. His mother gave him 1/2 of

the balance for his birthday. Which of these expressions could be used to find the amount Maxwell still owes on the skis?
350 - 110 + 30 ÷ 2
350 - (110 - 30) ÷ 2
[350 - (110 - 30) ÷ 2]
[350 - (110 - 30)] ÷ 2
Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0

Answer:

Maxwell bought a new pair of skis for $350. He put $110 down and received a students discount of $30. His mother gave him 1/2 of the balance for his birthday. Which of these expressions could be used to find the amount Maxwell still owes on the skis?

aivan3 [116]3 years ago
6 0
350 - (110 - 30) / 2
"/" = divide sign.
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The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find
mamaluj [8]

Answer:

x = 10. In other words, there number of girls is 10.

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}.

Rewrite to obtain:

\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}.

For this question:

\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}.

\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}.

Therefore:

\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}.

On the other hand, there are (15 + x) boys and girls in total. Using the formula for average:

\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}.

From the question, this average should be equal to 123. In other words:

\displaystyle \frac{1875 + 120\, x}{15 + x} = 123.

Solve this equation for x to obtain:

1875 + 120\, x= 123\, (15 + x).

(123 - 120)\, x = 1875 - 123 \times 15.

x = 10.

In other words, the number of girls here is 10.

5 0
3 years ago
If we add the second equation to the first equation, we have a new
stiv31 [10]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Which is f(5) for the function -2x2 + 2x - 3?
Schach [20]

The value of f(5) is -37

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

f(x) = -2x^2+2x+3

We have to find the value of f(5)

To find the value of f(5), we have to substitute x is equal to 5 in given function

Plug in x = 5 in f(x)

f(x) = -2x^2+2x+3\\\\f(5) = -2(5)^2+2(5) + 3\\\\\text{Simplify the above expression }\\\\f(5) = -2(25) + 10 + 3\\\\\text{Solve the above expression }\\\\f(5) = -50 + 10 + 3\\\\f(5) = -40 + 3 = -37

Thus value of f(5) is -37

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3 years ago
Diego and Jada are both trying to write an expression with fewer terms that is equivalent to
UkoKoshka [18]

Answer: Diego, 4a + 9b is equivalent

Step-by-step explanation:

7a + 5b - 3a + 4b

= (7a - 3a) + (5b + 4b)           We rerange the variables, and put them together with (), which make it more clear to solve.

= 4a + 9b

7 0
3 years ago
How many solutions does the system have?
amid [387]

Answer:

A; infinitely many solutions

Step-by-step explanation:

first, let's simplify the first equation to make it simpler.

divide both sides by 5

y=3x-8

new system

y=3x-8

y=3x-8

as you can see, they are the same.

not mandatory but useful!⬇⬇⬇⬇

just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.

3x-8=3x-8

add 8 to both sides; subtract 3x from one side

0=0

the answer is A, Infinitely many solutions.

hope this helped <3333333

8 0
3 years ago
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