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3 years ago

A woman is 5 1⁄7 inches taller than her daughter. The woman is 66 1⁄7 inches tall. How tall is her daughter?

1 answer:

4 0

To make the problem easier, I’m going to convert these to improper fractions.
A woman is 36/7 inches taller and she’s 463/7 inches tall. Her daughter is (463/7) - (36/7) inches tall. 463-36 is 427. She is 427/7 inches tall or 61 inches tall.

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Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twic

ipn [44]

Answer:

Average weight of the bags of potatoes is 3.8 pounds.

Step-by-step explanation:

Given:

Weight of the first bag, $W_{1}=2.6$ pounds.

Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,

$W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}$

Weight of the third bag is 0.6 pounds more than that of the first bag. This means,

$W_{3}=W_{1}+0.6=2.6+0.6=3.2\textrm{ pounds}$

Weight of the fourth bag is 0.3 pounds less than that of the second bag. This means,

$W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}$

Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,

$W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8$

Therefore, average weight of the bags of potatoes is 3.8 pounds.

8 0

3 years ago

Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char

Airida [17]

Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
$13.5g + 540 = 1512$

Subtract 540.
$13.5g = 972$

Divide by 13.5
$g = \frac{972}{13.5} = 72$

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!

8 0

3 years ago

Read 2 more answers

If the ceos salary of 1,000,000 is taken out of the list what I would happen to the mean and median 25,25,25,35,35,45,45,55,55

Mama L [17]

Answer:

Both the mean and median decrease.

Step-by-step explanation:

Median (without 1,000,000):

25, 25, 25, 35, 35, 45, 45, 55, 55

= 35

Median (with 1,000,000):

25, 25, 25, 35, 35, 45, 45, 55, 55, 1,000,000

= average of 35 and 45

= 40

As you can see, without the outlier, the value of the median decreases.

Mean (without 1,000,000):

= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55) / 9

= 38.3

Mean (with 1,000,000):

= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55 + 1,000,000) / 10

= 100,0034.5

As you can see, without the outlier, the value of the mean dramatically decreases.

6 0

2 years ago

Match each graph with the correct slope of the line. drag and drop the answer

OLEGan [10]

Answer/Step-by-step explanation:

✔️Slope of the first graph:

Using two points on the line, (0, 1) and (3, 2),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{3 - 0} = \frac{1}{3}$

Slope = ⅓

✔️Slope of the second graph:

Using two points on the line, (0, 0) and (1, 1),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 0}{1 - 0} = \frac{1}{1} = 1$

Slope = 1

✔️Slope of the third graph:

Using two points on the line, (0, 1) and (2, 2),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{2 - 0} = \frac{1}{2}$

Slope = ½

3 0

3 years ago

Read 2 more answers

What is the volume of this shape?

jenyasd209 [6]

Answer:
600 ft cubed
Step-by-step explanation:
Triangle volume formula V = 1/2(l*w*h)
1/2(4*12*9) = 216 ft cubed

Formula for rectangular prism V = (l*w*h)
(4*16*6) = 384 ft cubed

Adding the values: 600 ft

6 0

2 years ago