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crimeas [40]
3 years ago
12

A rectangle is 13 meters longer than it is wide. the perimeter is 98 meters. what is the width?

Mathematics
1 answer:
andrew11 [14]3 years ago
8 0
Hi there!

To solve this problem, let's make two equations:

Let x be the rectangle's length.
Let y be the rectangle's width.

x = y + 13
2x + 2y = 98

Now, since x equals y + 13, we can substitute the value of x into the equation 2x + 2y = 98:

2x + 2y = 98
2(y + 13) + 2y = 98
2y + 26 + 2y = 98
4y = 98 - 26
4y = 72
y = 18

Now, let's plug the value of y into the equation to find x:

x = y + 13
x = 18 + 13
x = 31

So, the length is 31 and the width is 18.

Hope this helps!
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Sheila only has $10 to spend on muffins. If muffins are $1.50 each, how many muffins can she
KIM [24]

Answer:

6

Step-by-step explanation:

10 divided by 1.50 equals 6

5 0
4 years ago
If the bottom row as a result of sythetic division is 1 3 0 4 0, then the quotient is which of the following? Select one:
zmey [24]

The quotient of the synthetic division is x^3 + 3x^2 + 4

<h3>How to determine the quotient?</h3>

The bottom row of synthetic division given as:

1 3 0 4 0

The last digit represents the remainder, while the other represents the quotient.

So, we have:

Quotient = 1 3 0 4

Introduce the variables

Quotient = 1x^3 + 3x^2 + 0x + 4

Evaluate

Quotient = x^3 + 3x^2 + 4

Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4

Read more about synthetic division at:

brainly.com/question/18788426

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3 0
2 years ago
On his bike, Jason can travel 8 miles in 50 minutes.
d1i1m1o1n [39]

Answer:

24 miles

Step-by-step explanation:

50 minutes = 8 miles

100 miles = 16 miles

150 minutes = 24 miles

4 0
3 years ago
Read 2 more answers
The sum of five consecutive integers is 55. Find the integers.​
liubo4ka [24]

Answer:

9, 10, 11, 12, 13

Step-by-step explanation:

(x-2)+(x-1)+x+(x+1)+(x+2) = 55

5x = 55

x = 11

8 0
3 years ago
Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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 = 1095, \pi = \frac{478}{1095} = 0.4365

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
3 years ago
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