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3 years ago

Write an expression to represent the following:

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

7 0

The answer would be: 5 + 9u

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Jennifer is taking a quiz and has answered 13 questions so far. if there are 25 questions on Jennifer's test, how many questions

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12 questions left.

Step-by-step explanation:

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2 years ago

(NEEDED ASAP) You’re laying a new kitchen floor with square tiles that are one yard by one yard. Your rectangular kitchen is 24

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Step-by-step explanation:

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3 years ago

Read 2 more answers

a line with a slope of 3 passes through the point (2,5) write an equation for this line in point-slope form.

Bingel [31]

Answer:

Point Slope: y - 5 = 3 (x-2)

Slope Intercept : y=3x-1

Step-by-step explanation:

1.) y - 5= 3(x-2)

2.) y - 5 = 3x-6

3.) y=3x-1

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3 years ago

What is 4x5 if 5xa=20

erastovalidia [21]

a=20÷5

a=4

5×4= 20

4×5= 20

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3 years ago

A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545 cents, how many d

inn [45]

A dime is worth 10 cents and a quarter is worth 25 cents.

Let D be the number of dimes and Q be the number of quarters.

Since the total amount of coins in the pocket is 32, then:

$D+Q=32$

On the other hand, the total value of D dimes is 10D, while the total value of Q dimes is 25Q. Then, the total value of D dimes and Q cuarters is 10D+25Q, which must be equal to 545. Then:

$10D+25Q=545$

Notice that we have found a 2x2 system of equations:

$\begin{gathered} D+Q=32 \\ 10D+25Q=545 \end{gathered}$

Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:

$\begin{gathered} D+Q=32 \\ \Rightarrow D=32-Q \\ \\ 10D+25Q=545 \\ \Rightarrow10(32-Q)+25Q=545 \\ \Rightarrow320-10Q+25Q=545 \\ \Rightarrow25Q-10Q=545-320 \\ \Rightarrow15Q=225 \\ \Rightarrow Q=\frac{225}{15} \\ \\ \therefore Q=15 \end{gathered}$

Replace back Q=15 into the expression for D to find the amount of dimes:

$\begin{gathered} D=32-Q \\ =32-15 \\ =17 \end{gathered}$

Therefore, the amount of dimes that the man has is 17.

7 0

1 year ago