What is the simplified form of 144x16 ?

The level of a lake was 8 inches below normal. It decrease 1 1/4 inches in June and 2 3/8 inches more in July. What was the new

zloy xaker [14]

Answer:

Step-by-step explanation:

1

the initial level is below normal so it is represented by a negative number. the level continued to decrease in June and July so those changes are also represented by negative numbers. find the sum of these values to find what the new level was with respect to the normal level

2

write the mixed numbers as improper fractions

3

get common denominator

4

add the numerators since all the numbers are negative and have a common denominator. write the improper fraction as a mixed number

3 0

3 years ago

Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.

user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence $A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}$

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = $1 yd^{2}= 1296 in ^{2}$

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0

3 years ago

Read 2 more answers

See image for question.

kotegsom [21]

Answer:

(a)

<u>Sample space:</u>

1*1, 1*2, 1*3, 1*4,
2*1, 2*2, 2*3, 2*4,
3*1, 3*2, 3*3, 3*4,
4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

(i) P(even) = 12/16 = 3/4
(ii) P(3x) = 7/16
(iii) P(perfect square) = 4/16 = 1/4

(a) <u>Sample space:</u>

1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

P(H) = 4/8 = 1/2

6 0

3 years ago

What is the value of x?<br><br> x=____

I am Lyosha [343]

Equilateral triangle means each angle equals 60 degrees.

60 = 7x - 3

63 = 7x

x = 9

8 0

3 years ago

Mr. Babe used to work at a local furniture store.

8090 [49]

A. Mr. Babe made a commission of $14.85

B. He makes $15.75 per hour after the raise.

Step-by-step explanation:

A. While he worked there, Mr. Babe earned 3% on how much he sells. If he sold $495 couch, how much commission did he make?

Worth of sold couch = $495

Commission = 3%

Amount of commission = 3% of total worth sold

Amount of commission = $\frac{3}{100}*495$

Amount of commission = $\frac{1485}{100}=\$14.85$

Mr. Babe made a commission of $14.85

B. On top of his commission, Mr. Babe made $15 per hour. He eventually got a raise with an increase of 5% per hour. After the raise, how much did he make per hour?

Amount earned per hour = $15

Increase = 5%

As the increment is on per hour amount, therefore,

Amount of increase = 5% of per hour amount

Amount of increase = $\frac{5}{100}*15=\frac{75}{100} = \$0.75$

New amount per hour = Per hour amount + amount of increase

New amount per hour = 15+0.75 = $15.75

He makes $15.75 per hour after the raise.

Keywords: percent, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago