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Snowcat [4.5K]
3 years ago
7

A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its

width, w?
Mathematics
2 answers:
solong [7]3 years ago
7 0
2w+5 t H.F. that’s the answer
Vesna [10]3 years ago
6 0

Answer:

2w+5

Step-by-step explanation:

W represents the width and since the length is twice as long you would multiply. 5 inches more means you would add 5.

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Aft<br> 10 ft<br> 3 ft<br> 2 ft<br> 6 ft<br> Surface Area =<br> Surfa<br> I need the surface area
ivolga24 [154]

Answer:

Step-by-step explanation:

Front and back

Givens

base = 6 feet

height = 2

Formula

Area = 1/2 B * h

Area = 1/2 * 6 * 2

Area = (2) 1/2 * 12

Area = 12 square feet for both front and back

Base

The base is a rectangle. A rectangle has the formula of  Area =  L*w

Givens

L = 10 feet

W = 6 feet

Area = 10 * 6 = 60

Left roof

The left roof is also a rectangle. Area = L*w

Givens

L = 10 feet

W = 3 feet

Area = 3 * 10 = 30 feet^2

Right Roof

The right roof is a rectangle. Area = L*w

Givens

L = 10 feet

w = 4 feet

Area = 4 * 10 = 40 ft^2

Total area

Total Area = right roof + left roof + Base + front and back

Total Area = 40 + 30 + 60 + 12

Total Area = 142 feet ^2

3 0
2 years ago
A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98%
Luden [163]

Answer:

a) z = 2.327

b) The margin of error is of 0.065.

c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 300, \pi = \frac{112}{300} = 0.3733

a) 98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so z = 2.327 is the critical value.

b)

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

So, applying to this question:

M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065

The margin of error is of 0.065.

c) Find confidence interval for the problem.

\pi - M = 0.3733 - 0.065 = 0.3083

\pi + M = 0.3733 + 0.065 = 0.4383

The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

3 0
3 years ago
Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. Miguel
tankabanditka [31]

Answer: $12,000

Step-by-step explanation:

Miguel makes 6% on every sale he makes and wants to make $600 in commissions.

The amount he needs to sell is therefore the amount that has $600 as 5% of it.

Assume the amount of insurance needed is x.

x * 5% = 600

x = 600 / 5%

x = $12,000

4 0
3 years ago
I need help on this ​
spin [16.1K]

Answer:

point a is (-1,-2)

point b is (-2,-4)

point c is (-3,-4)

point d is (-4-2)

3 0
3 years ago
2y to the 2nd power +11y +14
goldfiish [28.3K]

2y^2 +11y+14 =(2y+7)(y+2)

Step-by-step explanation:

Given

2y^2 +11y+14

=2y^2 +(7+4)y+14

=2y^2+7y+4y+14

= y(2y+7) + 2(2y+7)

=(2y+7)(y+2)

3 0
3 years ago
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