A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the survey are shown below:


60 students like building snowmen

10 students like building snowmen but do not like skiing

80 students like skiing

50 students do not like building snowmen


Make a two-way table to represent the data and use the table to answer the following questions.


Part A: What percentage of the total students surveyed like both building snowmen and skiing? Show your work. (5 points)


Part B: What is the probability that a student who does not like building snowmen also does not like skiing? Explain your answer.

Step-by-step explanation:

1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function

2: Term

3: Sequence: I don't really know how to explain this besides it's literally the definition

4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation

5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)

6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)

Answer:

125 cups

Step-by-step explanation:

36/100*x = 45

18/50*x = 45

18x = 2250

x = 125

Answer:

The amount of coffee the maker will hold when full be 125 cups.

Step-by-step explanation:

Given:

To find:

The formula used to calculate percentage is: (value/total value)×100%.

Step 1 of 1

Let the amount of coffee the maker will hold when full be x.

Then given the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

Which implies:

[tex]$$\begin{gathered}\frac{36}{100} \times x=45 \\0.36 x=45 \\x=\frac{45}{0.36} \\x=125\end{gathered}$$[/tex]

Answer:

C.

Step-by-step explanation:

1/-7 × -6/5 = 6/35

A. -1/7 × 6/5 = -6/35

B. -6 × -7/5 = 42/5

Answer: C.

Answer...

[tex]280\frac{23}{400}[/tex]

Steps....

1) Rewrite the decimal number as a fraction with 1 in the denominator

2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by [tex]10^{4}[/tex] = 10000

3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25

4) Simplify the improper fraction!

Answer:

ok so each brick is 3/4 of a pound so we wont to know how many times 3/4 goes into 1 1/2

so lets just count up 3/4

3/4 =1

1 1/2=2

so 2 times

Hope This Helps!!!

Answer:

There are 2 bricks in the bag.

Step-by-step explanation:

Let n represent the number of bricks in the bag.  Then:

(3/4 lb)n = 1 1/2 lb total; find n by dividing both sides by (3/4 lb)/brick:

        1 1/2 lb

n = --------------------- = 2 bricks

        3/4 lb/brick

There are 2 bricks in the bag.

Answer:

if you compare the average of the 3 grades the one with the highest average would be the grade who spends the most time on homework.

Step-by-step explanation:

Answer:

It takes them 30/11 hours to paint them together.

Step-by-step explanation:

This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:

[tex]Tom: R_{T}*6=1\\Huck: R_{H}*5=1[/tex]

We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:

[tex]Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}[/tex]

Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):

[tex](\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11[/tex]

Therefore, the time it takes them to paint the fence together is 30/11 Hours

Answer:

The number of hours it will take them to paint the fence is 2.7 hours.

Step-by-step explanation:

Given:

Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours.

Find:

the number of hours it will take them to paint the fence

Step 1 of 1

Determine their work rates, and then add them.

In particular, Tom can paint [tex]$\frac{1}{6}$[/tex] of a fence per hour, and Huck can paint [tex]$\frac{1}{5}$[/tex] of a fence per hour.

So, together they can paint [tex]$\frac{1}{6}+\frac{1}{5}=\frac{11}{30}$[/tex] of a fence per hour. Therefore, the time to paint the whole fence is [tex]$\frac{1 \text { fence }}{\frac{11}{30} \text { fences per hour }}=\frac{30}{11}$[/tex] hours

[tex]$=2 \frac{8}{11} \text { hours, }$$[/tex] or a little over 2.7 hours.

Answer:

D. 1/3

Explanation:

[tex]\sf A : \dfrac{2}{9}[/tex]

[tex]\sf C : \dfrac{7}{18}[/tex]

Calculate distance between A and C

[tex]\Longrightarrow \sf \dfrac{7}{18} - \dfrac{2}{9} = \dfrac{1}{6}[/tex]

There are 6 intervals between A to C

[tex]\sf \Longrightarrow each \ interval : \dfrac{1}{6} \div 6 = \dfrac{1}{36}[/tex]

Point B mark from A, there are 4 intervals:

[tex]\sf \Longrightarrow \dfrac{2}{9} + 4 \times \dfrac{1}{36} = \dfrac{1}{3}[/tex]

Or, Point B mark from C, there are 2 intervals:

[tex]\sf \Longrightarrow \dfrac{7}{18} - 2 \times \dfrac{1}{36} =\dfrac{1}{3}[/tex]

Answer,   60 and Loss =12½. The selling price or the S.P. is Rs. 45.:

Step-by-step explanation:

Answer:

Rounds to about 135% increase.

Step-by-step explanation:

Increase/original number x 100

324 / 239 × 100. This rounds to about a 135% increase.

I'm not sure about the answer, just saying. So you might want to double-check the formula for percent change. Thank You.

To determine if there's an increase or a decrease in sales and the percentage change, we need to compare the number of cars sold in Month 2 with the number sold in Month 1.

Calculate the difference in sales:

Difference = Month 2 sales - Month 1 sales

Difference = 324 cars - 239 cars

Difference = 85 cars

To find the percentage change, use the following formula:

Percentage Change = (Difference / Initial Value) * 100

In this case, the initial value is the number of cars sold in Month 1 (239 cars).

Percentage Change = (85 cars / 239 cars) * 100

Percentage Change ≈ 35.56%

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Answer: 25%

Step-by-step explanation:

We know that 20 divided by 5 is 4, so 5 is one-fourth of 20 or 25%.

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.

No, this would not be equivalent.

Number 4: 8 times 4 equals 32, 6 times 4 equals 24.

Yes, this would be equivalent.

Number 5: 30/5 equals 6. 70/8 is NOT 6.

No, this would not be equivalent.

Number 6: 24/2 equals 12. 100/3 is not 12.

No, this would not be equivalent.

Number 7: 30/2 is 15. 60/10 is NOT 15.

No, this would not be equivalent.

Number 8: 20/1 equals 20. 100/5 is also 20.

Yes, this would be equivalent.

Number 9: 20/5 equals 4. 30/6 is not 4.

No, this would not be equivalent.

Number 10: 45/3 is 15, 70/4 is NOT 15.

No, this would not be equivalent.

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Answer:

1.Is 4/5 equivalent to 32/45? - No

2.Is 7/8 equivalent to 28/32? - Yes

3.Is 1/10 equivalent to 30/100? - No

4.Is 6/8 equivalent to 24/32? - Yes

5.Is 5/8 equivalent to 30/70? - No

6.Is 2/3 equivalent to 24/100? - No

7.Is 2/10 equivalent to 30/60? - No

8.Is 1/5 equivalent to 20/100? - Yes

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Step-by-step explanation:

Answer:

C 54, -7

Step-by-step explanation:

a. (-6)(-9) = 54

b. 28(-0.25) = -7

Answer: C 54, -7

Answer:

-3y+15

Step-by-step explanation:

2y - 5(y - 3)

To simplify, the first step is to distribute the -5

2y - 5y +15

Combine like terms

-3y+15

Answer: 15-3y

Step-by-step explanation:

Using the distributive property, we have:

2y-5y+15

simplifying gets us:

15-3y.

Answer:

B. 3/11

Step-by-step explanation:

the division symbol: ÷ essentially is the same as /

if you replace ÷ with / its the same thing.

Answer:

my answer is B. 3/11

Step-by-step explanation:

which is =27.27%

pls if correct please mark me as Brainliest Answer please

The number of 1/4 lots in 3 plots of land is 500 and the total amount obtained after selling the lots will be equal to $1,000,000.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of plats of land = 3

First plat = 39 acres.

The number of 1/4 acres in the first plat will be,

39 × 4 = 156

Second plat = 37 acres

The number of 1/4 lots in the second plat will be,

37 × 4 = 148

Third plat = 49 acres

The number of 1/4 lots in the third plat will be,

49 × 4 = 196

Then, the total number of 1/4 acres lots will be,

156 + 148 + 196

= 500 lots

Price of each lot = $2000

Then, the price of 500 lots will be,

$2000 × 500

= $1,000,000

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Answer: A: SquareB: Triangle

Step-by-step explanation:

Step-by-step explanation:

315 calories for 3 miles.

315/3 = 105 calories for 1 mile

105×10 = 1050 calories for 10 miles

Answer:

Hello! The answer is 1050 calories.

Step-by-step explanation:

To calculate this, you have to find how many calories are used PER mile. To do this, you have to divide the total calories by the mileage:

315 ÷ 3 = 105

Now that you have the calories used per mile, you can find how many calories are used in a 10 mile jog:

105 × 10 = 1050 calories

Answer:

Step-by-step explanation:

We are given that the perpendicular bisector of side AB of ∆ABC intersects side BC at point D.

this means that side AE=BE.

Also, we could clear; ly observe that

ΔBED≅ΔAED

( since AE=BE, side ED common, ∠BED=∠AED

so by SAS congruency, the two triangles are congruent)

Now we are given that:

the perimeter of ∆ABC is 12 cm larger than the perimeter of ∆ACD.

i.e. AB+AC+BC=AC+AD+CD+12

AB+BC=AD+CD+12

as AD=BD

this means that AD+CD=BD+CD=BC

AB+BC=BC+12

AB=12

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The perimeter of 40 cm. and lengths of two sides of ∆ABC where side AC is 10 cm gives;

Given:

AB = BC

AC = 10 cm.

The perimeter of ∆ABC = 40 cm.

Therefore;

∆ABC is an isosceles triangle

AB + BC + AC = 40

AB + AB + 10 = 40 by substitution property of equality

2 × AB = 40 - 10 = 30

AB = BC = 15 cm.

Using the rule of cosines, we have;

cos(A) = (15² + 15² - 10²) ÷ (2×15×15)

<BED ≈ 180° - (90° + 51.06°) = 38.94°

DB = AB ÷ 2

Therefore;

From the rule of sines, we have;

DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28

According to Pythagorean theorem, we have;

Similarly, we have;

EC ≈ 15 - 11.93 = 3.068

Perimeter of ∆AEC = AE + EC + AC

Which gives;

The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25

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Answer:

check explanation

Step-by-step explanation:

The first one is (x+5, y-3) because the shape has moved 5 points to the right and 3 points down

For the second one, basically, you need to take the shape and move it two grid points to the right and four squares down

Hope this helps

Answer:

A. Ruben's height- 64.8 inches

B. John's height- 3/4 of Josh's height

Step-by-step explanation:

A. Since Ruben's height is 9/10ths of Josh's, and Josh's is 72 inches, we can find 90% of Josh's height which is 72, therefore giving us 64.8 inches.

B. Now take John's height of being 11/12th as being tall as Ruben, we can enter 11/12th of 64.8 which would give us about 54 inches. Finally, taking John's height of 54 inches, we would divide it with Josh's height of 72 inches. Hence, 54/72=3/4 as a fraction.

Answer:

75 is 150% of 50!

Answer:

$1.30

Step-by-step explanation:

Let x = the cost of the pencil

Let x + .80 = the cost of the pen

Let 4(x + .80) = the cost of the binder

x + x + .80 + 4(x + .80) = 11.80

2x + .80 + 4x + 3.20 = 11.80

6x + 4.00 = 11.80

6x = 7.80

x = $1.30

x + .80 = $2.10

4(x + .80) = $8.40

Answer:

Step-by-step explanation:

315/3

3miles=315cal

1mile = 105cal

105*10=1050cal

Answer: It's 18%

Step-by-step explanation:

Answer:

118% so it is 18 %

Step-by-step explanation:

Answer: 703.72 inches^3

Step-by-step explanation:

Volume = pi * r^2 * h/3

             = pi * 8^2 * 10.5/3

             = 64 pi * 3.5

             = 224 pi

             = 703.72 inches^3