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Leto [7]
3 years ago
10

The length of a rectangle is six times its width. If the perimeter of the rectangle is 98 yd , find its area.

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
P=2(W + L)
p= 2W + 2L
98=2W + 2(6W)
98=2W + 12W
98=W
98/14=14W/14
W=7

L= 6W
L = 6(7)
L= 42

CHECK
p=2(7 +42)
p=2(49)
p= 98

Area of a rectangle = W X L
Area of a rectangle = 7 X 42
Area of a rectangle = 294
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If there are 1000 grams in a kilogram in 454 grams in a pound how many pounds are there in a kilogram?
MaRussiya [10]

Answer:

2.2

Step-by-step explanation:

A kilogram is 2.2lbs so if you weigh yourself and it says you weigh 60k then you multiply 60 times 2.2 you get 132lbs.

6 0
3 years ago
How many weeks of data must be randomly sampled to estimate the mean weekly sales of a new line of athletic footwear? We want 98
Irina18 [472]

Answer:

n=(\frac{2.33(1400)}{400})^2 =66.50 \approx 67

So the answer for this case would be n=67 rounded up

Step-by-step explanation:

Information given

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=1400 represent the sample standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =400 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 98% of confidence interval now can be founded using the normal distribution. And the critical value would be z_{\alpha/2}=2.33, replacing into formula (b) we got:

n=(\frac{2.33(1400)}{400})^2 =66.50 \approx 67

So the answer for this case would be n=67 rounded up

8 0
3 years ago
what is the correct way to write three hundred nine million, fifty-eight thousand, three hundred four?
oksian1 [2.3K]

-- sitting erect, shoulders back, chest out, head up, spine straight

-- pen held loosely and comfortably in your hand

-- forearm resting lightly on the table

-- digit characters formed neatly and clearly, with uniform size and slant

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3 0
3 years ago
(07.03 MC)
Umnica [9.8K]

The probability of pulling a blue marble and the coin landing tails up is 360/2500

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

The tables of values are given as:

Color     Times

Blue        18

Green     20

Yellow    12

Heads    Tails

20          30

The probability of obtaining a blue marble is:

P(Blue) = 18/50

The probability of landing tails up is:

P(Tail) = 20/50

The required probability is:

P = P(Blue) * P(Tail)

This gives

P = 18/50 * 20/50

Evaluate the product

P = 360/2500

Hence, the probability of pulling a blue marble and the coin landing tails up is 360/2500

Read more about probability at:

brainly.com/question/25870256

#SPJ1

8 0
2 years ago
A jar can hold of a pound of flour. Austin empties of a pound of flour into the jar. What fraction of the jar is filled? Enter y
11111nata11111 [884]

Answer:

<em>2/3 of the jar was filled with flour</em>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>

<em />

Given

<em>Amount a jar can hold a = 3/4 of a pound of flour</em>

<em />

<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>

<em />

<em>Fraction of jar filled will be expressed as b/a as shown;</em>

<em>b/a = (1/2)/(3/4)</em>

<em>b/a = 1/2 ÷ 3/4</em>

<em>b/a = 1/2 * 4/3</em>

<em>b/a = 4/6</em>

<em>Simplify to the lowest term</em>

<em>a/b = 2*2/2*3</em>

<em>a/b = 2/3</em>

<em />

<em>Hence 2/3 of the jar was filled with flour</em>

4 0
3 years ago
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