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2 years ago

Yolanda has finished 45 percent of her homework and she has finished 27 problems. How many problems was Yolanda assigned

1 answer:

6 0

If 45 percent of the homework is only 27 problems, she needs to figure out this:

What is 47 percent of 60?
or
47% x 60

Which is 27.

So, Yolanda was assigned 60 problems.

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Below is a table for f(x) = 3x + 1. Using the table, determine the value of x when f(x) = 13

Elena L [17]

3x+1=13
3x=12
x=4
So x is 4

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2 years ago

In ΔАВС, m∠ACB = 90°, CD ⊥ AB m∠ACD = 30°, and AC = 6 cm. Find BD

myrzilka [38]

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3 years ago

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Evaluate the polynomial function p (x) = 2x4 - 3x2 + x - 1 to find p (-1).

Alisiya [41]

$p(x)=2x^4-3x^2+x-1\\\\
Substitude\ p=-1\ into\ equation\\\\
p(-1)=2x^4-3x^2+x-1=2*(-1)^4-3(-1)^2-1-1=\\2*1-3*1-2=2-3-2=-3\\Answer\ p(-1)=-3$

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3 years ago

What is the variance? What is the standard deviation, rounded to the nearest whole number?

Dmitry [639]

Answer:

What is the variance? 84000

What is the standard deviation, rounded to the nearest whole number? 290

5 stars if this helped

Step-by-step explanation:

8 0

3 years ago

Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

So, the coordinates are (-8, 11) or (12,11)

3 0

2 years ago