How to add three and

Rewrite the expression using the GCF and the distributive property (39+91)

inessss [21]

Answer:

1. $13\cdot (3+7)$

2. $2,520

Step-by-step explanation:

1. Given numbers 39 and 91. Factorize them:

$39=3\cdot 13\\ \\91=7\cdot 13,$

then

$GCF(39,91)=13$

Use distributive property:

$39+91=3\cdot 13+7\cdot 13=13\cdot (3+7)$

2. Month salary = $2,100

To find 10% of $2,100, just multiply $2,100 by 0.1 (because 10% is 0.1 as decimal):

$\$2,100\cdot 0.1=\$210$

$210 is the monthly tax, then the year tax is

$\$210\cdot 12=\$2,520$

8 0

3 years ago

The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square meters. Find the length and

belka [17]

Answer: Width = 18m

Length = 32m

Step-by-step explanation:

Let the width of a rectangle be x

Let the length of the rectangle be: x+14

Width = 18m

Length = 32m

Check the attachment for the explanation and further details.

5 0

4 years ago

A. Work of 5 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural length. What is the force

kirza4 [7]

Answer:

(a) 62.5 N

(b) 694.4 N/m

(c) 41.7 N

Step-by-step explanation:

Work done in stretching a spring is

$W = \frac{1}{2}Fe=\frac{1}{2}ke^2$ since $F=ke$

F is the applied force, E is the elongation and k is the spring constant.

(a) Here, e = 16 cm = 0.16 m

$W = \frac{1}{2}Fe$

$F = \dfrac{2W}{e} = \dfrac{2\times5}{0.16}=62.5\text{ N}$

(b) Here, e = 12 cm = 0.12 m

$W =\frac{1}{2}ke^2$

$k=\dfrac{2W}{e^2}=\dfrac{2\times5}{0.12^2}=694.4\text{ N/m}$

(c) The restoring force is the same as the applied force.

$F = \dfrac{2W}{e} = \dfrac{2\times5}{0.12}=41.7\text{ N}$

4 0

4 years ago

I need to do b and d

cupoosta [38]

I only know the answer for b I don't know the answer for d. So here is the answer for b 9 time 9= to 18+11+8x4-1=60

5 0

3 years ago

Justin earns $75 per week . How much does he earn in 30 weeks

igor_vitrenko [27]

The answer is $2,250

3 0

3 years ago

Read 2 more answers