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3 years ago

Twenty-four is 30% of what number?

Mathematics

2 answers:

IgorLugansk [536]3 years ago

7 0

24 / 30 x 100 = 80

answer: Twenty-four is 30% of 80

love history [14]3 years ago

6 0

Let the number = x
24=30%*x
24=30/100*x
24=30x/100
cross multiply
2400=30x
divide both sides by 30
2400/30=x
x = 80
therefore 30% of 80 = 24

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5x - 4 = -3x + 12. Solve for x

leva [86]

5x - 4 = -3x + 12.

move -3x to the other side

sign changes to +3x

5x+3x-4= -3x+3x+12

5x+3x-4= 12

move -4 to the other side

sign changes to +4

5x+3x-4+4= 12+4

8x= 16

divide by 8 for both sides

8x/8= 16/8

x= 2

Answer: x= 2

7 0

2 years ago

Mai is putting money into a checking account.Let Y represent the total amount of money in the account (dollars)Let X represent t

iragen [17]

Answer:

The answer is $40.

Step-by-step explanation:

According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.

Then as x gets increased by 1 each week, the amount of change in the account per week is $40.

I hope this answer helps.

5 0

3 years ago

Which of the following best describes the relationship between the variables on the scatter plot below?

CaHeK987 [17]

Answer:

A. negative correlation

Step-by-step explanation:

Let two variables x and y, the correlation coefficient r measure to what degree the variables x and y are related.

--- If this coefficient is positive then the relationship will be positive. This means that even an increase in the variable x will produce an increase in the variable y. In the dispersion diagram the points will be grouped, simulating a line of positive slope.

--- If this coefficient is negative then the relation will be negative. This means that even an increase in the variable x will produce a decrease in the variable y. In the dispersion diagram the points will be grouped, simulating a negative slope line.

In the diagram shown it can be noted that as the variable x increases the variable y decreases.

Therefore it can be concluded that the correlation between x and y is negative. The correct option is option A

4 0

3 years ago

How long will it take to earn $1800 in interest if $6000 is invested at a 6% annual interest rate? how many years

Simora [160]

Answer:

Total interest will $1800 after 5 years.

Step-by-step explanation:

It is given that the principle amount is $6000.

Rate of interest rate is 6% per annum.

Total interest is $1800.

Formula for simple interest is

$I=\frac{P\times r\times t}{100}$

Where, P is principle, r is rate of interest in percent and t is time in years.

Substitute P=6000, r=6 and I=1800 in the above formula.

$1800=\frac{6000\times 6\times t}{100}$

$1800=\frac{36000t}{100}$

$1800=360t$

Divide both sides by 360.

$\frac{1800}{360}=t$

$5=t$

Therefore the total interest will $1800 after 5 years.

3 0

2 years ago

Read 2 more answers

A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm

disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let $\mu$ = true mean family income for Mexican migrants.

So, Null Hypothesis, $H_0$ : $\mu$ = $27,000 {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $27,000 {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean family income = $30,000

s = sample standard deviation = $10,000

n = sample of Mexican family = 25

So, the test statistics = $\frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }$ ~ $t_2_4$

= 1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0

3 years ago