MATHEMATICS MIDDLE SCHOOL

A survey was done where boys and girls were asked if they would prefer to play inside or outside. The results of the survey are shown in the two-way frequency table. What percent of the boys surveyed prefer to play inside?

Enter your answer to the nearest tenth of a percent.

Answers

Answer 1

Answer:

25.2% of the boys surveyed prefer to playinside.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentagechange is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the percentage of boys surveyed who prefer to playinside, we need to look at the frequency table and locate the value for boys who prefer to play inside, which is 0.252.

To convert this value to a percentage, we need to multiply by 100:

= 0.252 x 100

= 25.2%

Therefore,

25.2% of the boys surveyed prefer to playinside.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ3

Answer 2

Answer:

43.4%

Is correct. Have a good day!!

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miguel is 5ft 10 inches tall On a sunny day he casts a shadow of 4ft 2 inches long. At the same time, a nearby electric tower casts a shadow 8ft 9 inches long. How tall is the tower?

Answers

Given:
Miguel's height:
Actual = 5 feet 10 inches
Shadow = 4 feet 2 inches

Tower's height
Actual = x
Shadow = 8 feet 9 inches

First, we need to convert the height into inches to avoid confusion.
1 foot = 12 inches.
Miguel:
5 ft x 12in/ft = 60 inches + 10 inches = 70 inches ACTUAL
4 ft x 12in/ft = 48 inches + 2 inches = 50 inches SHADOW

Tower:
8 ft x 12in/ft = 96 inches + 9 inches = 105 inches SHADOW

Ratio of Actual to shadow:
Miguel: 70 : 50
Tower: x : 105

70 : 50 = x : 105
70*105 = 50x
7350 = 50x
7350 / 50 = x
147 = x

Actual height of the tower is 147 inches or 12 feet 3 inches long.

To check:
Miguel : 70 / 50 = 1.40
Tower : 147 / 105 = 1.40

If you would like to know how tall is the tower, you can calculate this using the following steps:

Miguel 5ft 10 inches = 70 inches tall ... 4ft 2 inches = 50 inches long shadow
tower x ft y inches = w inches high = ? ... 8ft 9 inches = 105 inches long shadow

70 * 105 = 50 * w /50
w = 70 * 105 / 50
w = 147 inches high = 12ft 3 inches

The correct result would be 12ft 3 inches.

Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How many days with each boy on vacation?

Answers

To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days.
21 total days of vacation.

Max + Jared + Wesley = 21 days
(Let's use the first letter of their name to represent their vacation time)

M + J + W = 21 [This is the equation we'll be coming back to]

Now, we can use the clues given in the question to have an equation for each variable/boy.

Max was on vacation twice as long as Jared. We can interpret this as M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.

So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W

To have an equation for each individual boy, we must rearrange the last two equations in the list.

First, M = 2J.
Divide both sides by 2
M/2 = 2J/2
(1/2)M = J

Second, M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
M + J + W = 21 [From the old list]
J = (1/2)W
W = 2M

Now we can substitute the last two equations into the first one.
M + J + W = 21
M + (1/2)W + 2M = 21
[Combine Like Terms]
(7/2)M = 21

Then, solve for M (Max's vacation days):
Multiply both sides by 2/7
$((2)/(7))* ((7)/(2)m)= ((2)/(7))*(21)$
M = 6

Now we know Max was on vacation for 6 days.

If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.

So...
J = (1/2)M
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days

Wesley was on vacation twice as long as Max so... W = 2M
W= 2*6
W = 12
Wesley was on vacation for 12 days.

Let's double check our answer:
M + J + W = 21 days6 + 3 + 12 = 21
The numbers work out so the math is correct. Hope this helps and makes sense!

Solve the proportional equation below: 4/7=28/(x+18)

Answers

4/7=28/(x+18)

4/7 =28/x+18
-18 | -18
|
__________
-17 2/7=28/x
*28 | *28
|
__________
-484 = x

What is the sign of the product?

(0.5)(–0.5)(3.2)(–7.9)(–2.4)

Answers

there are three negative signs so the product will be a negative.
hope this helps

The width of a rectangle is one half its length. The perimeter of the rectangle is 54 cm. What are the width and length of therectangle?
A. 9 cm; 18 cm
B. 18 cm
C. 18 cm; 36 cm

Answers

Answer:

Length of rectangle = 18 cm

Width of rectangle = 9 cm

Step-by-step explanation:

Let the length of rectangle be x

$\therefore \: width \: (w) = (1)/(2) x \n \n perimeter \: of \: rectangle = 54 \: cm \n \therefore \:2(l + w) = 54 \n \therefore \:(l + w) = (54)/(2) \n \therefore \:l + w= 27 \n \n \therefore \:x + (1)/(2) x = 27 \n \n \therefore \:(3)/(2) x = 27 \n \n \therefore \:x = 27 * (2)/(3) \n \n \therefore \:x = 9 * 2 \n \n \huge \red{ \boxed{\therefore \:x = 18}} \n \n \implies \: (1)/(2) x = (1)/(2) * 18 = 9$