All categories

3 years ago

Solve the equation using the distributive property abd properties of equality -(a + 3)= -55

Mathematics

1 answer:

motikmotik3 years ago

8 0

Answer:

a=52

Step-by-step explanation:

-(a + 3)= -55

-(a) + -(3)= -55

-a - 3 (+3) = - 55+3

-a -3(+3) = -52

-a = - 52

a=52

-(a + 3)= -55

(a + 3)= 55

(a) + (3)= 55

a + 3(-3)= 55(-3)

a = 52

You might be interested in

Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculptu

grandymaker [24]

Answer:

This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.

Step-by-step explanation:

8 0

3 years ago

In a manufacturing process, a random sample of 36 bolts has a mean length of 3 inches with a standard deviation of .3 inches. Wh

Liula [17]

The 99 percent confidence interval for the true mean length of the bolt is CI = (2.8712, 3.1288)

<h3>How to find the confidence interval?</h3>

Confidence Interval is used to tell us the degree of certainty or uncertainty that is existent in a sampling method.

The general formula for confidence interval is;

CI = x' ± z(s/√n)

where;

x' is sample mean

z is z-score at confidence level

s is sample standard deviation

n is sample size

We are given;

sample size; n = 36

Sample mean; x' = 3 inches

standard deviation; s = 0.3 inches

confidence level = 99%

z at 99% CL = 2.576

Thus;

CI = 3 ± 2.576(0.3/√36)

CI = 3 ± 0.1288

CI = (2.8712, 3.1288)

Read more about Confidence Interval at; brainly.com/question/17097944

#SPJ1

3 0

1 year ago

Please help!!!!!

sergeinik [125]

-8.1

Step-by-step explanation:

$\frac{ - 4}{9} x + 2.4 = 6$

Times all by 9 to get rid of fraction

$- 4x + 21.6 = 54$

Take 21.6 away from both sides

$- 4x = 32.4$

Divide by -4

$x = - 8.1$

8 0

2 years ago

Read 2 more answers

Jim and Dianna want to save for their child’s college expenses. They find an annuity that pays 6% annual interest, compounded mo

lana66690 [7]

Answer:

future value = $49163.8

so required amount will be $491200 nearest $100

Step-by-step explanation:

given data

annual interest rate = 6 %

annuity = $300 per month

time period = 10 years

to find out

how much money will they have for the college expenses

solution

we know that effective rate will be

effective rate = $\frac{0.06}{12}$

effective rate = 5 × $10^{-3}$

number of payment = 12 × 10 = 120

so future value will be express as

future value = annuity × $\frac{(1+r)^t-1}{r}$ .........1

future value = 300 × $\frac{(1+5*10^{-3})^{120}-1}{5*10^{-3}}$

future value = 300 × 163.8793

future value = $49163.8

so required amount will be $491200 nearest $100

7 0

3 years ago

A fish was swimming 2 ½ feet below the water's surface at 1:00 pm. Three hours later, the fish was at a depth that is 3 ¼ feet b

IgorC [24]

Answer:

The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm

Step-by-step explanation:

Here, we want to find a rational number that represents the position of the Fish at 4pm

Initially it was at a depth of 2 1/2 ft below the water surface

At 4pm, it went 3 1/4 ft further

Thus, its position with respect to the water surface at 4 pm will be;

2 1/2 + 3 1/4

= 5/2 + 13/4 = (10 + 13)/4 = 23/4 = 5 3/4 ft

6 0

3 years ago