All categories

3 years ago

What is the answer to 15a + 9 =

Mathematics

2 answers:

Elena-2011 [213]3 years ago

5 0

Answer:

Step-by-step explanation:

Use distributive property

15a + 9 = 3*5*a + 3*3

= 3 (5a + 3)

Alex777 [14]3 years ago

3 0

Answer:

$a=-\frac{3}{5}$

Step-by-step explanation:

$15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}$

You might be interested in

How can you determine which variable is dependent and which variable is independent

padilas [110]

MrBillDoesMath!

Answer: The dependent variable depends on another variable for its value. For example, if y = 2x, setting x = 1 forces y= 2.; setting x = 10, forces y =20. There are no other possibilities for y once x ids chosen. So y is the dependent variable and x is the independent one. You can pick values for the independent variable (x) but no so for the dependent one.

MrB

8 0

3 years ago

Read 2 more answers

Factor completely 3x^2 − x − 4.

ozzi

3x^2 − x − 4

factor

= (3x − 4)(x + 1)

answer

D. (3x − 4)(x + 1)

8 0

3 years ago

How can I prove that

Citrus2011 [14]

I can prove by being smart then that if you tell me all the ansers

6 0

3 years ago

The length of a rectangle is 6 inches more than its width. Its area is 91 square inches. The length is .

Vika [28.1K]

Answer:

13 in

Step-by-step explanation:

let w be width then length is w + 6

the area (A) of a rectangle is calculated as

A = length × width , then

A = w(w + 6) = 91 , that is

w² + 6w = 91 ( subtract 91 from both sides )

w² + 6w - 91 = 0 ← in standard quadratic form

(w + 13)(w - 7) = 0 ← in factored form

equate each factor to zero and solve for w

w + 13 = 0 ⇒ w = - 13

w - 7 = 0 ⇒ w = 7

however, w > 0 then w = 7

and length = w + 6 = 7 + 6 = 13 in

8 0

2 years ago

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago