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3 years ago

Solve 4(a-3) = 22 solve 5(x -6) = 65 with explanation, please giving 20 points

Mathematics

2 answers:

DaniilM [7]3 years ago

5 0

Step-by-step explanation:

4(a-3)=22

a-3=4-22

a-3=18

a=18+3

a=21

5(x-6)=65

x-6=65-5

x-6=60

×=60+6

x=66

hope it will help u...............

Pie3 years ago

4 0

Answer:

a = $\frac{34}{4}$

x = 19

Step-by-step explanation:

First equation

Expand the brackets

4(a-3) = 22

4a - 12 = 22

Add 12 to both sides

4a - 12 + 12 = 22 + 12

4a = 34

Divide both sides by 4

4a ÷ 4 = $\frac{34}{4}$

a = $\frac{34}{4}$

Second equation

Expand the brackets

5(x - 6) = 65

5x - 30 = 65

Add 30 to both sides

5x - 30 + 30 = 65 + 30

5x = 95

Divide both sides by 5:

5x ÷ 5 = 95 ÷ 5

x = 19

Hope this helps!

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3 years ago

5 barrels catch rainwater in the schoolyard. Four barrels are the same size, and the fifth barrel holds 10 liters of water. Comb

ch4aika [34]

Answer:

The volume each of the four barrels of the same size will be at least 47.5 liters.

Step-by-step explanation:

Let the volume of each of the four barrels is v liters.

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3 0

3 years ago

Find the greatest common factor of 10, 7, and 14.

SOVA2 [1]

Answer:

there is none

Step-by-step explanation:

7 is a prime number. the gcf of 10 and 14 is 2, but the only factors of 7 are 1 and 7

8 0

3 years ago

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..The total of Joshua's savings and $350 is $925. Please help

Vlad [161]

Answer:

Joshua's Savings = $575

Step-by-step explanation:

If the total amount is $925 and you added $350 to x (Josh's Savings) than all we have to do is subtract the $350 from the $920 to solve for x,...

$925 - $350 = $575

Joshua's Savings is equal to $575 dollars,...

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2 years ago

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Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with mea

Anika [276]

Answer:

About 3 years Speedy Jet printers be guaranteed.

Step-by-step explanation:

Given : Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with

mean $\mu = 4$ and standard deviation $\sigma = 0.78$

If the company wishes to replace no more than 10% of the printers.

To find : How long should Speedy Jet printers be guaranteed ?

Solution :

Using Z- table,

Z value corresponding to 10% or 0.10 = -1.28.

Applying z-score formula,

$z=\frac{x-\mu}{\sigma}$

The value of x is given by,

$x=(z\times \sigma)+\mu$

Substitute the values,

$x=(-1.28\times 0.78)+4$

$x=-0.9984+4$

$x=3.0016$

So, approx 3 years.

Therefore, About 3 years Speedy Jet printers be guaranteed.

8 0

3 years ago