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3 years ago

Using the distributive property to transform 4(x +3) = 3(3x -1) how do I substitute 3 for x to see if it’s a true statement?

Mathematics

2 answers:

elena55 [62]3 years ago

8 0

Answer:

4(3+3)=3(3(3)-1)

Step-by-step explanation:

1) plug in the three

2) distribute

3) see if the answers gotten are the same if not than the statement is wrong

I know it looks a bit complicated but its not once you get the hang of it

Harrizon [31]3 years ago

7 0

4(x+3) = 3(3x-1)
4x + 12 = 9x - 3

x = 3
4(3) + 12 = 9(3) - 3
12 + 12 = 27 - 3
24 = 24 ✔️

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Factor the expression 8a + 16c

Stella [2.4K]

The answer for this question is 80

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3 years ago

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Carol jogged 1 3/4 miles on 5 days last week.She jogged 2 1/4 miles on 4 days this week.Was her total distance greater last week

elena55 [62]

Answer: Her total distance was greater this week.

Step-by-step explanation:

Carol jogged 1 3/4 miles on 5 days last week. Converting 1 3/4 miles to decimal, it becomes 1.75 miles. The total number of miles that she jogged last week is

5 × 1.75 = 8.75 miles

She jogged 2 1/4 miles on 4 days this week. Converting 2 1/4 miles to decimal, it becomes 2.25 miles. The total number of miles that she jogged this week is

4 × 2.25 = 9 miles

Since 9 miles is greater than 8 miles, then her total distance was greater this week.

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3 years ago

A sample of 75 information systems managers had an average hourly income of $40.75 with a standard deviation of $7.00. The 95% c

IrinaVladis [17]

Answer: c. 39.14 to 42.36

Step-by-step explanation:

We want to determine a 95% confidence interval for the average hourly wage (in $) of all information system managers

Number of sample, n = 75

Mean, u = $40.75

Standard deviation, s = $7.00

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

40.75 +/- 1.96 × 7/√75

= 40.75 ± 1.96 × 0.82

= 40.75 + 1.6072

The lower end of the confidence interval is 40.75 - 1.6072 =39.14

The upper end of the confidence interval is 40.75 + 1.6072 =42.36

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4 years ago

Simply -3 3/4 divided by 2 1/2

Dima020 [189]

Answer:

$=-1\frac{1}{2}$

Step-by-step explanation:

Given the following question:

$-3\frac{3}{4} \div2\frac{1}{2}$

In order to find the answer, we first convert the mixed numbers into improper fractions. Then we use KCF (Keep, Change, Flip) and solve.

$-3\frac{3}{4} \div2\frac{1}{2}$
$-3\frac{3}{4} =12+3=-\frac{15}{4}$
$2\frac{1}{2}=2\times2=4+1=\frac{5}{2}$
$-\frac{15}{4} \div\frac{5}{2}$
$-\frac{15}{4} \times\frac{2}{5}$
$15\times2=30$
$4\times5=20$
$=-\frac{30}{20}$
$-\frac{30}{20} \div10=-\frac{3}{2}$
$-\frac{3}{2}=3\div2=-1\frac{1}{2}$
$=-1\frac{1}{2}$

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