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3 years ago

15

18. Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul's typing speed compare to Jennife

r's?

2 answers:

Serggg [28]3 years ago

8 0

Paul can type fast but 20 words less than Jennifer a minute.

konstantin123 [22]3 years ago

5 0

The answer is paul types 20 words less than jennifer

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Gabrielle took a Spanish test with 50 questions and answered 44 of them correctly. What percent of the questions did Gabrielle a

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She answered 88% correct. 44 times 2 is 88.

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If 1/4 of x is 16 what is 3/4 of x

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Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

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The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

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solve for x

$15(x-1)20=22(9)$

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$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

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3 years ago

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olga nikolaevna [1]

Answer:

37 is prime number

Step-by-step explanation:

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