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3 years ago

What is 160% of 19? What is 0.9% of 54? What is 15% of 376?

1 answer:

8 0

160% of 19 is 30.4

Convert 160 into a decimal: 160%/100 = 1.6
Multiply the decimal by 19: 1.6 × 19 = 30.4 <-- our answer.
------

0.9% of 54 is 0.486

Convert 0.9% in a decimal: 0.9%/100 = 0.009
Multiply the decimal by 54: 0.009 × 54 = 0.486 <-- our answer.
-------

15% of 376 is 56.4

Convert the percentage into a decimal: 15%/100 = 0.15
Multiply the decimal by 376: 0.15 × 376 = 56.4 <-- our answer.

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Most likely ill go with option c

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3 years ago

From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar

murzikaleks [220]

Answer:

(a) 896

(b) 1000

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

(a) 2 of the men refuse to serve together.

Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

$^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}$

$896$

(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

$^{6}C_{3}\cdot ^{6}C_{3}+^{6}C_{3}\cdot ^{6}C_{2}\cdot ^{2}C_{1}$

$1000$

Ways = Total ways - Both man and woman are select who refuse the serve together

$^{8}C_{3}\cdot ^{6}C_{3}-^{5}C_{2}\cdot ^{7}C_{2}$

$910$

6 0

3 years ago

Y=3/2x+6 parallel to (-2 -4)

Aleonysh [2.5K]

Answer:

no it's not parallel to that.

4 0

2 years ago

What is the most precise name for a quadrilateral with the following vertices:

lozanna [386]

Answer:

The most precise name for a quadrilateral ABCD is a parallelogram

Step-by-step explanation:

we have

A(2,3) B(7,2) C(6,-1) D(1,0)

Plot the quadrilateral'

using a graphing tool

The quadrilateral ABCD in the attached figure

Verify the length of the sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find distance AB

A(2,3) B(7,2)

substitute

$d=\sqrt{(2-3)^{2}+(7-2)^{2}}$

$d=\sqrt{(-1)^{2}+(5)^{2}}$

$d_A_B=\sqrt{26}\ units$

step 2

Find distance BC

B(7,2) C(6,-1)

substitute

$d=\sqrt{(-1-2)^{2}+(6-7)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_B_C=\sqrt{10}\ units$

step 3

Find distance CD

C(6,-1) D(1,0)

substitute

$d=\sqrt{(0+1)^{2}+(1-6)^{2}}$

$d=\sqrt{(1)^{2}+(-5)^{2}}$

$d_C_D=\sqrt{26}\ units$

step 4

Find distance AD

A(2,3) D(1,0)

substitute

$d=\sqrt{(0-3)^{2}+(1-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_A_D=\sqrt{10}\ units$

step 5

Compare the length sides

AB=CD

BC=AD

Opposite sides are congruent

<em>Verify the slope of the sides</em>

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

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

step 1

Find slope AB

A(2,3) B(7,2)

substitute

$m=\frac{2-3}{7-2}$

$m=\frac{-1}{5}$

$m_A_B=-\frac{1}{5}$

step 2

Find slope BC

B(7,2) C(6,-1)

substitute

$m=\frac{-1-2}{6-7}$

$m=\frac{-3}{-1}$

$m_B_C=3$

step 3

Find slope CD

C(6,-1) D(1,0)

substitute

$m=\frac{0+1}{1-6}$

$m=\frac{1}{-5}$

$m_C_D=-\frac{1}{5}$

step 4

Find slope AD

A(2,3) D(1,0)

substitute

$m=\frac{0-3}{1-2}$

$m=\frac{-3}{-1}$

$m_A_D=3$

step 5

Compare the slopes

$m_A_B=m_C_D$

$m_B_C=m_A_D$

The slope of the opposite sides are equal, that means, opposite sides are parallel

The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular

therefore

The most precise name for a quadrilateral ABCD is a parallelogram

8 0

3 years ago

Amy wants to save up money for a prom dress. Her dress costs $238. She only has $45. How much money does she need to get her dre

Vitek1552 [10]

Answer:

193

Step-by-step explanation:

All you do is 238 - 45 and its 193

4 0

2 years ago

Read 2 more answers