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3 years ago

The length of Rectangle A is 20 inches and the width is 4 inches. The length of Rectangle B is

Mathematics

2 answers:

evablogger [386]3 years ago

7 0

Answer:

Step-by-step explanation:

Lᵃ/Wᵃ = Lᵇ/Wᵇ

20"/4" = 40"/Wᵇ

Wᵇ = (4"×40")/20"

Wᵇ = 160" ÷ 20"

Wᵇ = 8"

Width of rectangle B = 8 inches

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astraxan [27]3 years ago

5 0

Answer:

8 inches

Step-by-step explanation:

Let w be the width of rectangle B.

Since, both rectangles are similar.

Therefore, corresponding lengths and widths of rectangles A and B will be in proportion.

$\therefore \frac{20}{40} = \frac{4}{w} \\ \\ \frac{1}{2} = \frac{4}{w} \\ \\ w = 2 \times 4 \\ \\ w = 8 \: inches$

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Amber got a raise, and her hourly wage increased from $8 to $9.50 what is the percent increase

I am Lyosha [343]

Answer:

The percent increase is 18.75%.

Step-by-step explanation:

Given:

Amber got a raise, and her hourly wage increased from $8 to $9.50.

Now, to find percent increase.

Previous wage = $8.

Wage raised = $9.50.

So, to get the increased wage we subtract the previous wage from the wage raised:

$\$9.50-\$8=\$1.50.$

Now, to get the percent increase:

$\frac{1.50}{8} \times 100$

$=\frac{150}{8}$

$=18.75\%.$

Therefore, the percent increase is 18.75%.

8 0

3 years ago

In 2000, the population of Massachusetts

Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

$f(x) = 6.3*(1.0032)^{x}$

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

$f(x) = 6.3*(1.0032)^{x}$

$7 = 6.3*(1.0032)^{x}$

$(1.0032)^{x} = \frac{7}{6.3}$

$(1.0032)^{x} = 1.11$

We have to following logarithm rule

$\log{a^{x}} = x\log{a}$

So we apply log to both sides of the equality

$\log{(1.0032)^{x}} = \log{1.11}$

$x\log{1.0032} = \log{1.11}$

$x = \frac{\log{1.11}}{\log{1.0032}}$

$x = 32.66$

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

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2 years ago

Simplify: 3^2 · 3^4 A) 3^6 B) 3^8 C) 3^2 D) 9^6

Greeley [361]

Answer:

3^6

Step-by-step explanation:

3^2 * 3^4

You add the exponents together.

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2 years ago

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Please help me with this question

Andreyy89

Answer:

the slope is -3, the slope is negative, the y-intercept is 0

Step-by-step explanation:

this ones are the ones that apply to the graph

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2 years ago

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A researcher asks participants to estimate the calories they consume in a meal. The researcher records the following estimates:

aleksley [76]

Answer:

Increase

Step-by-step explanation:

The researcher records the following estimates: 450, 426, 310, 500, and 220.

The mean of these estimates is derived below.

Mean = (450+426+310+500+220)/5

=1906/5=381.2

If the researcher removes the estimate of 220.

The mean of the other numbers will be:

Mean =(450+426+310+500)/4

=1686/4=421.5

By comparison of the two mean, we can see that the value of the mean will increase.

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2 years ago