A group of adults were asked to name their favourite juice. The table gives information about their answers. Work out the angles that would be used to draw a pie chart.

FRUIT JUCE || ORANGE || APPLE || GRAPE || OTHER||

NUMBER || 40 || 27 || 15 || 8 ||

ANGLE || ? || ? || ? || ? ||

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C (1,8) and D (3, 3)

The slope is

We have the final answer as

Hope this helps you

Answer:

-5/2

Step-by-step explanation:

the answer is

Answer:

n = 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

([tex]y^{20}[/tex] ) ([tex](y^{-5}) ^{2}[/tex]

= [tex]y^{20}[/tex] × [tex]y^{-10}[/tex]

= [tex]y^{(20-10)}[/tex]

= [tex]y^{10}[/tex] → in the form [tex]y^{n}[/tex] with n = 10

Answer:

10.

Step-by-step explanation:

I took the test with this question

Step-by-step explanation:

this relation is not a function cuz each x pair (domian) has only one image in y pair (codomain) so we will have all the ×-axis pairs meeting with y-axis in only one point as they have one image as this is the rule of having a function so what in front of us the positive part of x-axis has two images in y-axis

u can knew it by another way draw a vertical line and if it meets in two point or more than one then the relation is not a function s o if we draw a vertical line in the right part of the graph it will meats in two points then not a function

the domain is all the pairs of this relation taken in x-axis which are [0,infinity[ and range is the y-axis images if the fomain in x-axis which are ]-infinity, infinity[

Answer:

the true one is all fractions containing integers are rational numbers is true

Step-by-step explanation:

i think

Answer:

All fractions containing integers are rational numbers.

Step-by-step explanation:

Answer:

this might help you....

The area of a triangle with ratio of 2:3:4 and a perimeter of 90 centimeter is 290. 47 centimetre squared.

The perimeter of a triangle is the sum of the whole sides of the triangle.

Therefore, the perimeter is given as follows:

perimeter = 90 cm

Hence, the sides can found as follows:

2 / 9 × 90 = 20 cm

3 / 9 × 90 = 30 cm

4 / 9 × 90 = 40 cm

Area = √s(s-a)(s-b)(s-c)

where

Hence,

s = 90 / 2 = 45

a = 20 cm

b = 30 cm

c = 40 cm

Therefore,

area of the triangle = √45(45 - 20)(45 - 30)(45 - 40)

area of the triangle =√45(25)(15)(5)

area of the triangle = √84375

area of the triangle = 290.473750966

area of the triangle = 290. 47 cm²

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Answer:

the answer is D

Step-by-step explanation:

Answer:

-[tex]3t^{3}[/tex][tex]-6t^{2}[/tex]+4t

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ { - 3t}^{3} - 6 {t}^{2} + 4t}}}}}[/tex]

Step-by-step explanation:

Given terms : + 4t , -6t² , -3t³

Arrange the terms from biggest exponent to lowest exponent:

[tex] \dashrightarrow{ \boxed{ \sf{ - 3 {t}^{3} - 6 {t}^{2} + 4t}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

24/32

Step-by-step explanation:

24/32 is the answer because:

1) We should first try to see if we can find a common denominator so it is easier to compare and find the larger number

2) The common denominator is 32 because 16 multiplied by 2 is 32 and 11 multiplied by 2 is 22. The new fraction is 22/32

3) Finally, compare 22/32 and 24/32, we know that 24 is bigger than 22. Therefore, 24/32 is greater than 11/16

Hope this helps!

Answer: Its 6

Step-by-step explanation: The answer is 5.99894 then you round it to 6.

The radius of the bucket, to the nearest whole number, is 7 inches.

So, option A. is correct.

Here, we have,

To solve the formula v = πR²h for R, we can rearrange the equation as follows:

v = πR²h

R² = v / (πh)

R = √(v / (πh))

Given that the volume v is 615 cubic inches and the height h is 4 inches, we can substitute these values into the equation:

R = √(615 / (3.14 * 4))

Calculating the value, we have:

R ≈ √(48.98)

R ≈ 7

Therefore, the radius of the bucket, to the nearest whole number, is 7 inches.

Hence, So, option A. is correct.

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Answer:

It has traveled 325 miles

Answer:

In 1 hour truck travels 65 miles

In 5 hours, truck travels 65*5= 325 miles

Step-by-step explanation:Step 1: Simplify both sides of the equation.

4−(2y−1)=2(5y+9)+y

4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)

4+−1(2y)+(−1)(−1)=2(5y+9)+y

4+−2y+1=2(5y+9)+y

4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)

4+−2y+1=10y+18+y

(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)

−2y+5=11y+18

−2y+5=11y+18

Step 2: Subtract 11y from both sides.

−2y+5−11y=11y+18−11y

−13y+5=18

Step 3: Subtract 5 from both sides.

−13y+5−5=18−5

−13y=13

Step 4: Divide both sides by -13.

−13y

−13

=

13

−13

y=−1

 Answer: y =-1

Here, this is a linear equation in one variable because only one variable is there, y. We need to find the solution i.e the value of y.

Given, equation:

[tex]4 - (2y - 1) = 2(5y + 9) + y[/tex]

We need to find y, So let's isolate y in any one side of the equation. Before that, let's open the parentheses.

[tex]4 - 2y + 1 = 10y + 18 + y[/tex]

[tex]5 - 2y = 11y + 18[/tex]

Now, let's add 2y to both sides, So that -2y on the left hand side gets cancel.

[tex]5 - 2y + 2y = 11y + 18 + 2y[/tex]

[tex]5 = 13y + 18[/tex]

Flipping the equation for easy calculation,

[tex]13y + 18 = 5[/tex]

Solving further,

[tex]13y = - 13[/tex]

[tex]y = \frac{ - 13}{13} [/tex]

[tex] \boxed{y = - 1}[/tex]

Hence, we are done !!

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Answer:

x<700-10

Step-by-step explanation:

I hope that is what you are looking for, the x stands for the number

Answer:

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Step-by-step explanation:

Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Answer:

a = [tex]\frac{d - c}{b}[/tex]

Step-by-step explanation:

ab + c = d

     - c        - c

ab = d - c

divide both sides by b

a = [tex]\frac{d - c}{b}[/tex]

I hope this helps!!

Answer:

a=d-c/b

Step-by-step explanation:

ab+c=d

ab=d-c

a=d-c/b

Answer:

Step-by-step explanation:

1) a-2b+3c

2) 2a+(6+3)²

The required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.

A unit rate is a rate in which the second term is 1. In other words, a unit rate is a rate that compares two quantities, with the second quantity being expressed as 1. Unit rates are often used to express a rate per unit of measurements, such as price per item, speed per hour, or cost per pound.

here,
As given in the question Savannah can run 1/2 mile in 300 seconds to evaluate the unit rate we must convert the time given second in minutes by dividing it by 60,
300 seconds = 300/60 = 5 minutes

Now,

Unit rate = 1/2 mile: 5 minutes
Unite rate = 1/10 mile per minute

Thus, the required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.

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Answer:

rjeov oke eieie

Step-by-step explanation:

Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !

Answer:

mary would have a rise of 12 and a run of 4 , making her slope , or rate of change , $3 a day . julie would have a rise of 19 and a slope of 6 , making her slope , or rate of change , $3.17 a day , since julie is raising money at a faster rstr , she would get to the goal of $1,000 first.

Step-by-step explanation:

:)

Answer:

Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

Answer:

Hourly pay rate x 1.5 x hours worked overtime.

Step-by-step explanation:

For example, if you had an hourly wage of $10, you would first:

Start with the $10 owed. Then:

Multiply your hourly pay by 1.5 to get $15.

Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.

An equation to help you solve this could look something like this:

Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.

Answer:

(0,4)

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Find total marks needed for a 90.

90 x 4 = 360 marks

Then, add up the marks on the three tests.

83+91+86 = 260 marks

Finally, subtract from the 360 marks needed.

360 - 260 = 100

Thus, the student needs to score 100 marks in order to get a 90.

Answer:

Step-by-step explanation:

(13 - 3)/(1 + 4) = 10/5= 2

y - 13 = 2(x - 1)

y - 13 = 2x - 2

y = 2x + 11

Answer:

Step-by-step explanation:

Answer: All to 1 decimal place

3) a = 11.4

4) b = 11.2

5) c = 4.5

6) e = 6.4

7) f = 30.8

8) g = 67.9

Step-by-step explanation:

3) cos(18) = a/12

12xcos(18) = a

a = 11.4

4) tan(25) = b/24

b = 24xtan(25)

b = 11.2

5) cos(51) = c/7.2

c = 7.2xcos(51)

c = 4.5

6) sin(28) = e/13.6

e = 13.6 x sin(28)

e = 6.4

7) cos(47) = 21/f

f = 21/cos(47)

f = 30.8

8) sin(33) = 37/g

g = 37/sin(37)

g = 67.9

All to 1 decimal place

Answer:

area of square = l² = n²

Step-by-step explanation:

Answer:

[tex]A=n^{2}[/tex]

Step-by-step explanation:

Find area of a square

Area of square = length x width

Since a square's has the same length on all sides, we can square both sides.

Area of square = [tex]length^{2}[/tex]

If length = n

Then,

[tex]A=n^{2}[/tex]

h = -4.9t^2 + vt

In our problem,

v = 12

t = 2

Let's plug our numbers into the equation.

h = -4.9(2)^2 + (12)(2)

h = -19.6 + 24

h = 4.4 m

Answer:

333

Step-by-step explanation:

Three digit posibilitys: 9

4 digit and 5 digit posibilitys: 322

The solution is, there are 9 integers are between 100 and 10000 in the records of which there are exactly three identical digits.

A number can be mentioned as a mathematical object used to count, measure, and label. We can have, The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

given that,

integers are between 100 and 10000 ,

we have to find the integers of which there are exactly three identical digits.

so, we get,

integers with exactly three identical digits are, 111, 222, 333, 444, 555, 666, 777, 888, 999.

because, after that integers are having more than 3 digits.

Hence, The solution is, there are 9 integers are between 100 and 10000 in the records of which there are exactly three identical digits.

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Answer:

165

Step-by-step explain:

1=60

2 times 60 is 120

.75=3/4

3/4 of 60 is 45

add 120 and 45

= 165