If m = 8, how many solutions are there for the expression m - 8? what is it going to be? 0 ? 1 ? 2 ? or infinite ?

Answers

Answer 1

Answer:

Answer:

The answer is $m=8$

Step-by-step explanation:

In order to determine the answer, we have to know that it means "solution".

In any expression where there is a variable, we can replace any value in the variable and we get a result. When we replace a value that it makes the expression equal to zero, that value is called "solution".

So in this case, we have to find a solution for "m":

$m-8=0\nm=8$

Finally, the solution is only one and it is 8.

Answer 2

Answer: Solutions for the expression:
(m - 8)

if m = 8,
Solution for the expression m - 8 = 8 - 8 = 0.

So there is only 1 solution for the expression.

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Sal and two of his friends rent an apartment together. Their total cost to move in included first months rent, last months rent and a security deposit of $1,200. If Sal paid a total of $1,000 to move in, how much is his share of the rent each month?.

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors willnot accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest?

Answers

Given:
cash advance = 200
interest rate = 32% , I'm assuming this is a per annum rate.
pay w/in a month.

I = 200 * 32% * 1/12
I = 5.33

She will have to pay 5.33 in interest after 1 month.

How many dollars more is the price of a muffin than the price of a brownie at David's store

Answers

Here's something that will help you:

price per brownie: 18/6 = 3
There are $3 per brownie

price per muffin: 50/10 = $5

So a muffin is $2 more than the price of a brownie

Juanita begins to factor an expression as shown.x2 + 3x – 18 = (x + )(x – )

The numbers that should be placed in the boxes, from left to right, are
.

Answers

6 and 3. To find this answer, you simply need to factor the expression on the left-hand side of the equals sign. To factor the expression, you need to find 2 numbers which add up to be 3 and multiply to be -18. The two numbers which do this are 6 and -3. Since you want a positive 3, you know that the 6 goes in the left box and the 3 goes in the right box.

A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150.00 with a standard deviation of $30.20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2.5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test?a.The customers spend more than the national average in his store.b.The manager should decrease prices in his store.c.The customers do not spend more than the national average in his store.d.The customers in his store just come from a rich neighborhood.

Answers

Answer:

The correct answer is:

The customers spend more than the national average in his store

Step-by-step explanation:

The national average is $150.00 with a standard deviation of $30.20.

Sample size n =40

H0: x bar = mu

Ha: x bar >mu

(one tailed test for a single mean)

Sample average x bar = 160

Mean difference = 160-150 =10

std error = 30.20/sqrt 40

=4.775

Test statistic = 2.094

Z critical for 2.5% = 1.96 (one tailed)

Since test statistic > z critical we reject null hypothesis.

Hence the correct answer is:

The customers spend more than the national average in his store.

Answer:

Option A) The customers spend more than the national average in his store.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $150.00

Sample mean, $\bar{x}$ = $160

Sample size, n = 40

Alpha, α = 0.025

Population standard deviation, σ = $30.20

First, we design the null and the alternate hypothesis

$H_(0): \mu = 150\text{ dollars}\nH_A: \mu > 150\text{ dollars}$

The null hypothesis states that the consumers are spending equal to the national average. The alternative hypothesis states that consumers are spending more than the national average.

We use One-tailed z test to perform this hypothesis.

Formula:

$z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }$

Putting all the values, we have

$z_(stat) = \displaystyle(160 - 150)/((30.20)/(√(40)) ) = 2.094$

Now, $z_(critical) \text{ at 0.025 level of significance } = 1.96$

Since,

$z_(stat) > z_(critical)$

We reject the null hypothesis and accept the alternate hypothesis. Thus, the customers spend more than the national average in his store.

Thus, option A) is a valid conclusion for the manager

Paul has 15% of his gross pay directly deposited into a mutual fund account each month. If $630 is deposited each month, what is his monthly gross pay?

Answers

15% of gross = 630

0.15 G = 630

Divide each side by 0.15 :

G = 630/0.15 = $4,200

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856.00
b. $963.00
c. $1,016.50
d. $1,444.50

Answers

Answer:

Tyra earns $1016.5 .

Option (c) is correct .

Step-by-step explanation:

As given

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours.

If Tyra typically works 45 hours per week .

Tyra work over 40 hours = 45 -40

= 5 hours

Amount Tyra earns for first 40 hours = 40 × 21.40

= $ 856

Amount Tyra earns for over 40 hours = 5 × 32.10

= $160.5

Total amount Tyra earns = Amount Tyra earns for first 40 hours + Amount Tyra earns for over 40 hours .

Putting the values in the above

Total amount Tyra earns = $856 + $160.5

= $1016.5

Therefore the Tyra earns $1016.5 .

Option (c) is correct.

The answer would be 1016.50.

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