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2 years ago

Morgan spent $30 on school supplies. He

Mathematics

1 answer:

mestny [16]2 years ago

5 0

To help solve this problem, create an equation.

Let x = number of notebooks

$30 = $22.50 + $1.50x. Subtract $22.50 from each side.

$7.5 = $1.50x. Divide each side by $1.50.

5 = x.

Morgan bought 5 notebooks.

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Solve for m: (y_1 - y_2) = m(x_1 - x_2)

Mashutka [201]

$y_1-y_2=m(x_1-x_2)\\
m=\dfrac{y_1-y_2}{x_1-x_2}$

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3 years ago

The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to

Brrunno [24]

We have to solve this quadratic equation $n^{2}+n=56$ for n to get which figure has 56 blocks.

$n^{2}+n=56\\n^{2}+n-56=0$

For middle term factorization, we need two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).

Such two numbers are 8 and -7. We can now write,

$n^{2}+n-56=0\\(n+8)(n-7)=0\\n=-8, 7$

"There is no negative figure number possible, so we disregard -8"

Our answer is 7.

ANSWER: The 7th figure has 56 blocks.

3 0

3 years ago

Read 2 more answers

Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberrie

agasfer [191]

Answer:

170

Step-by-step explanation:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70

total = 170

7 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

aleksley [76]

The length of PR is 4.4 units.

Explanation:

It is given that the length of the hypotenuse is 10 units.

Also, the angle of R is 64°

To find the length of PR, we shall use the cosine formula,

$\cos \theta=\frac{a d j}{h y p}$

Here, $\theta=64$ , adj = PR and hyp = 10

Substituting these values in the formula, we get,

$\cos 64=\frac{P R}{10}$

Multiplying both sides by 10, we get,

$10*\cos 64={P R}$

Substituting the value for cos 64, we get,

$10*0.438={P R}$

Multiplying, we have,

$4.38=PR$

Rounding off, we get,

$PR=4.4$

Thus, the length of PR is 4.4 units.

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3 years ago

what side lengths should be used to model a rectangle with an area of x^2+3x-10 square units? x-5 and x+2 x and x+3 x+3 and x-10

klemol [59]

Answer:

Answer: x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

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2 years ago

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