Exterior Angles and Isosceles Triangles

Step-by-step explanation:

Total Students = 450 (Everything within the sample/rectangle)

Choir = 110

Band = 240

Both = 60 (Where both circles overlap)

110+240+60 = 410 (Total students in Choir or Band or Both)

410 ÷ 450 = 0.91111111

Therefore the probability that a student chosen at random is in the choir, band or both out of the sample is 91%

Answer:

B.zero

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Answer:

D

Step-by-step explanation:

A vertical line parallel to the y- axis has an undefined slope

Answer:

9.43

Step-by-step explanation:

You simply use the first couple digits of the solution your calculator gave you. (How many depends on the question you were asked)

Answer:

  9 23/53

Step-by-step explanation:

The fraction is not particularly nice. It can be written as ...

  9/0.954 = 9000/954 = 500/53 = 9 23/53

As a decimal, the fraction has a 13-digit repeat:

  [tex]9.\overline{4339622641509}[/tex]

Answer:

wait what? hmmm hmmmmmm

The measure of angle BAC is 20 degrees

The angle on a straight line is 180 degrees.

There are 9 equal sections on the straight line.

This means that the measure of each section is:

Each section = 180/9

Evaluate

Each section = 20

So, we have:

BAC = 20 degrees

Hence, the measure of angle BAC is 20 degrees

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Answer:

The answer is 400

Step-by-step explanation:

...........

Answer:

the answer is 400 darlin

Step-by-step explanation:

Answer: C = 6.5l

Cost is $6.50 per yard.

Step-by-step explanation:

2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.

Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81

Joy wants 8 feet of fabric. First convert this to meters which would be:

= 8 feet x 0.305 meter per feet

= 2.44 meters

The cost of this fabric would therefore be:

= Cost per meter x Number of meters

= 1.15 x 2.44

= $2.806

= $2.81

In conclusion, the cost of the fabric would be $2.81.

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Answer: C) Today's soup will taste the same

====================================================

Explanation:

The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.

Divide both parts of the ratio by 12 to end up with 0.75:1

The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.

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Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8

The ratio 6:8 is the same as 0.75:1

---------------

We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.

Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.

Answer:

The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)

Step-by-step explanation:

Starting equation... f(x) = 9.16(1.0054)ˣ

Visually rewritten... y = 9.16(1.0054)ˣ

Flipping x and y... x = 9.16(1.0054)ʸ

Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ

Taking the log of both sides... log (x/9.16) = y log (1.0054)

Isolating y... log (x/9.16)/log (1.0054) = y

Solution... y = log (x/9.16)/log (1.0054)

Answer:

p=0.6

Step-by-step explanation:

Answer:

(LCM)

Step-by-step explanation:

Least common multiple = LCM

HOPE THIS HELPS :)

The difference between a population distribution and sampling a distribution

Definition: The Population Distribution is a form of probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.

Defintion: The Sampling Distribution is a form of probability of a random sample out of a group of frequency which is made up of the sample of which the population has been picked out of, making it a partial research study

Answer:

x > 23

Step-by-step explanation:

2x - 5 > 18 + x

x - 5 > 18

x > 23

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Answer:

Domain is undefined

Answer:

y = -1/7x + 1

Step-by-step explanation:

Subtract 3x both sides

21y = 21 - 3x

Divide by 21 both sides

y = 1 - 1/7x

y = -1/7x + 1

Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.

On the first block, the proportion of families that is gone is:

= Number of families gone / Total number of families on block

= 5 / 12

If there are 60 families on a block, the number gone would be:

= Proportion of families gone x Total number of families

= 5/12 x 60

= 25 families

In conclusion, 25 families would be gone

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Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

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There are 20 red marbles

Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:

= 1 - 5/9

= 4/9

If there are 45 marbles in total, the number of red marbles will be:

= 4/9 × 45

= 20

Therefore, there are 20 red marbles.

Answer:

there are lots of ways. some of them are

1625/2, 3250/2, 4875/3........

Answer:

3

8

+

4

0

+

1

2

0

=

3

4

−

7

(

2

0

−

1

9

)

{\color{#c92786}{38x}}+40+{\color{#c92786}{120x}}=34x-7(20-19x)

1

5

8

+

4

0

=

3

4

−

7

(

2

0

9

)

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

[tex]38x+40+120x=34x-7(20-19x)\\\rule{180}{0.5}\\\text{Simplifying the left:}\\\\38x+120x+40\\\\158x + 40\\\\\text{Simplifying the right:}\\\\34x-7(20-19x)\\\\34x - 140 + 133x\\\\34x + 133x - 140\\\\167x - 140\\\rule{180}{0.5}\\158x + 40 = 167x - 140\\\\158x + 40 - 40 = 167x - 140 - 40\\\\158x = 167x - 180\\\\158x - 167x = 167x - 167x - 180\\\\-9x = -180\\\\\frac{-9x}{-180}\\\\\boxed{x = 20}[/tex]

Hope this helps.

Answer: -99

Step-by-step explanation:

This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.

Answer:

I  really cant see the picture that well or, i would help.

Step-by-step explanation:

Answer:

14 sq units

Step-by-step explanation:

square - 4

triangle - 4

secong triangle - 6

4+4+6 = 14 sq units

Answer:

A = 10 sq. units

Step-by-step explanation:

Area of a trapezium is the average of the bases times the height.

Base 1 is 8 units

Base 2 is two units

Average is (8 + 2)/2 = 5 units

A = 5(2) = 10 sq. units

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(2x³ - 8x) is the volume of a rectangular prism.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)

Volume: L x B x H

= (2x) × (x - 2)(x + 2)

= (2x) × (x² - 4)

= 2x(x² - 4)

= 2x³ - 8x units³

Hence, 2x³ - 8x units³ is the volume of a rectangular prism.

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