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2 years ago

13

1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represent

s his constant speed, C?

1 answer:

erastovalidia [21]2 years ago

3 0

Minutes - 15/4
or
Seconds - 15/240

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How much is the product of<br> 14 and 16 less than 290

Svetradugi [14.3K]

The product of 14 and 16 is 66 less than 290.

<h3>What is the meaning of product ?</h3>

The product is obtained when two numbers are multiplied with each other .

The given data can be used to make an equation

Let the product of 14 and 16 be x less than 290 then

14*16 = 290-x

224 = 290-x

x = 66

Therefore the product is 66 less than 290.

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2 years ago

A boy weighs 31.5 kilograms. how much does he weigh in pounds? use the following conversion: 1 kilogram is 2.2 pounds

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If 1 kilogram equals 2.2 pounds, how many pounds will 31.5 kilograms equal?
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3 years ago

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Find in degrees the numeric value of the acute angle of rotation that eliminates the product term from the equation 7x2+24xy−34x

lutik1710 [3]

Rotating the graph of $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$ with $B\ne0$ counterclockwise by $\theta$ eliminates the $xy$ term, where $\cot2\theta=\frac{A-C}{B}.$ Plugging in, we have $\cot2\theta=\frac{7}{24},$ since $C=0.$ Solving, we have $\theta=\frac{1}{2}\cot^{-1}(\frac{7}{24})\approx\boxed{36.9^\circ}.$

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3 years ago

Suppose PR = 54, solve for QR<br> 4x-1<br> 3x-1<br> P<br> R

Svet_ta [14]

Answer:

$QR = 23$

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

$PQ = 4x - 1$

$QR = 3x - 1$

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

$PQ + QR = PR$

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Solve for x

$4x - 1 + 3x - 1 = 54$

Combine like terms

$4x + 3x - 1 - 1 = 54$

$7x - 2 = 54$

Add 2 to both sides

$7x - 2 + 2 = 54 + 2$

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Divide both sides by 7

$\frac{7x}{7} = \frac{56}{7}$

$x = 8$

$QR = 3x - 1$

Plug in the value of x into the equation

$QR = 3(8) - 1 = 24 - 1$

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3 years ago

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Answer:

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