MATHEMATICS HIGH SCHOOL

Solve the equation . (-2 1/7)p=-3

Answers

Answer 1
Answer:

Answer:

p = (7)/(5)

Step-by-step explanation:

change the mixed number to an improper fraction

- 2 (1)/(7) = - (15)/(7), hence

- (15)/(7) p = - 3 ( multiply both sides by 7 )

- 15p = - 21 ( divide both sides by - 15 )

p = (-21)/(-15) = (7)/(5)
Answer 2
Answer:

Final answer:

To solve this question, convert '-2 1/7' to an improper fraction (-15/7), then divide both sides of the equation by this value. This simplifies to p = 1.4 which is the solution.

Explanation:

In order to solve the equation (-2 1/7)p=-3, it's helpful to remember that multiplying each side of an equation by the same value does not change the solution. In this case, (-2 1/7) represents a fraction (-15/7) when converted to an improper fraction. Now, to isolate p on one side of the equation, divide both sides of the equation by (-15/7). This provides the solution: p = -3 / (-15/7), which simplifies to p = 1.4. Therefore, the solution to the equation is p = 1.4

Learn more about Solving Equations here:

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abbie spent 5/8 of her money and saved the rest. if she spent 45,how much money did she have at first?

Answers

$72

Further explanation

Given:

Abbie spent ⁵/₈ of her money and saved the rest.

She spent $45.

Question:

How much money did she have at first?

The Process:

The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.

Let us make a pattern of 8 units for the amount of money that Abbie had at first.

\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that \boxed{\$ 45 / 5 = \$ 9}

\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 45

From the pattern above, we can see that \boxed{ \ 1 \ unit = \$ 9 \ }.

Let us calculate how much money Abbie had at first.

\boxed{ \ 1 \ unit = \$ 9 \ }

\boxed{ \ 8 \ unit = \ ? \ }

\boxed{ \ 8 * \$ 9 = \$ 72 \ }

Thus, the money Abbie had at first is $72.

The complete pattern of Abbie's initial money is as follows:

\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 72

- - - - - - - - - -

Quick Steps:

Let M as Abbie's initial money.

\boxed{ \ (5)/(8) * M = \$ 45 \ }

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

\boxed{ \ M = (8)/(5) * \$ 45 \ }

We crossed out 5 and 45.

\boxed{ \ M = 8 * \$ 9 \ }

\boxed{ \ M = \$ 72 \ }

Thus, the money Abbie had at first is $72.

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Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern
Note that 5/8 is equivalent to $45

1/8 is equivalent to $45 ÷ 5 = 9

8/8 (aal) is equivalent to 8 x 9 = 72

She had $72

Given that 6x = 7y, find the ratio x : y.

Answers

7:6

reverse the numbers when given a ratio similar to this one. 6x7=42 and 7x6=42 so x is 6 y is 7

Hope this helps.
the only thing i can think would work is 6*7=7*6

42=42

Caroline has 16 marbles 1\8 of them are blue how many of Caroline's marbles are blue

Answers

1/8 of 16 is 2 . i hope it helps.
there are 2 marbles because if you multiply 1/8 x 2 you get 2/16

Find the value of c that makes each trinomial a perfect square.

Answers

Answer:

The answer to your question is the letter a.

Step-by-step explanation:

Data

             x² + 12x + c

If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

               12x/2 = 6x

-Divide by the square root of the first term

               6x/x = 6

-Express the result to the second power

                          6² = 36

-Write the perfect square trinomial

             (x² + 12x + 36) = (x + 6)²

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Answers

Angle 3 is 128, since they’re vertical angles. Angles 2 & 4 are 52, as 180 minus 128 is 52, and both 2 & 4 are also their own vertical angles.

So,

1 = 128
2 = 52
3 = 128
4 = 52

the soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

Answers

5x+10y = 800
replace y by 50:  5x+10(50) = 800
                            5x+500 = 800
                            5x = 800-500
                            5x = 300
                            x = 300/5
                            x = 60
60 small vehicles were washed in total.

proof: 5x+10y = 800
replace x=60 and y=50
       so; 5(60) +10(50) =800
             300 + 500 = 800
                     800 = 800

Answer:

60 in total

Step-by-step explanation:

proof: 5x+10y = 800

replace x=60 and y=50

      so; 5(60) +10(50) =800

            300 + 500 = 800

                    800 = 800
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