Which of the following expressions are equivalent to ( 9 7 8 + 2 4 5 ) − 1 2 (9 8 7 ​ +2 5 4 ​ )− 2 1 ​ left parenthesis, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, start fraction, 1, divided by, 2, end fraction? Choose 2 answers: Choose 2 answers: (Choice A) A 9 7 8 + ( 2 4 5 − 1 2 ) 9 8 7 ​ +(2 5 4 ​ − 2 1 ​ )9, start fraction, 7, divided by, 8, end fraction, plus, left parenthesis, 2, start fraction, 4, divided by, 5, end fraction, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice B) B 9 7 8 + 2 4 5 + ( − 1 2 ) 9 8 7 ​ +2 5 4 ​ +(− 2 1 ​ )9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice C) C 9 7 8 − ( − 2 4 5 ) − ( − 1 2 ) 9 8 7 ​ −(−2 5 4 ​ )−(− 2 1 ​ )9, start fraction, 7, divided by, 8, end fraction, minus, left parenthesis, minus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice D) D − ( − 9 7 8 + 2 4 5 ) − 1 2 −(−9 8 7 ​ +2 5 4 ​ )− 2 1 ​ minus, left parenthesis, minus, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, start fraction, 1, divided by, 2, end fraction (Choice E) E 9 7 8 − ( − 2 4 5 − 1 2 ) 9 8 7 ​ −(−2 5 4 ​ − 2 1 ​ )

Step-by-step explanation:

the y-intercept (b) is the easiest :

it is the y-value, when x = 0 : -3

the slope (m) is the ratio (y coordinate difference / x coordinate difference) when going from 1 point to another.

so, we need to identify 2 points in the line.

one we have already with b : (0, -3)

another is the x-axis intercept, which is clearly (4, 0)

the difference is not important, but we need to use the same for both (x and y).

I prefer to go from left to right, so from (0, -3) to (4, 0) :

x changes by +4 (from 0 to 4)

y changes by +3 (from -3 to 0)

the slope is +3/+4 = 3/4

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

Work Shown:

[tex](x_1,y_1) = (10,4) \text{ and } (x_2,y_2) = (7,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{7 - 10}\\\\m = \frac{-1}{-3}\\\\m = \frac{1}{3}\\\\[/tex]

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Extra info:

A slope of 1/3 means "go up 1, then to the right 3"

Think of it like this

slope = rise/run = 1/3

rise = 1 = go up 1

run = 3 = go to the right 3

Answer:

A,B,C

Step-by-step explanation:

Using the area of triangles and rectangles, we know that the area of the shaded region is 255cm².

In the given shaded region there is one rectangle and one triangle.

First, find the area of the shaded rectangle.

Now find the area of the shaded triangle.

So, the Area of the triangle is:

Therefore, the total area of the shaded region is:

Therefore, using the area of triangles and rectangles, we know that the area of the shaded region is 255cm².

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Answer:

the percentage change is a 60% change.

Step-by-step explanation:

A change from 5 to 2 represents a negative change (decrease) of -60%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

× 100%

Percent change = 2 - 5

|5|

× 100% =

-3

5

× 100 = -60% (decrease)

Where: 5 is the old value and 2 is the new value. In this case we have a negative change (decrease) of -60 percent because the new value is smaller than the old value.

The relationship has no relation to continental drift theory, as it is a relation between distance and time, not distance and elevation.

The continental drift theory states that the world's tectonic plates are in constant motion over time.

This is supported by the fact that some millions of years ago, there was only one continent, named Pangea, and now we have the continents as we know. These continents are also moving a small amount a year.

In this problem, the elevation decreases and the distance increases, however, the continental drift theory should have the distance increasing or decreasing over time, hence the graph relationship has no relation to the continental drift theory.

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Answer:

22 apples

Step-by-step explanation:

33/6=5.5*4=22

Pls give brainliest

Answer:

I believe the answer would be 22 apples

Answer:

p > -10/3

Step-by-step explanation:

-4<6+3p

-10<3p

p>-10/3

:]

Answer: p > 10/-3

Step-by-step explanation:

1) Remove the whole numbers next to the variable

Add 10 on both sides.

-3p < 10

2) Set x by itself

Divide -3 on both sides. Dividing -3 will flip the operator sign. (Dividing/Multiplying negative number flips the sign)

p > 10/-3

8 feet is known to equal 96 inches.

48 inches are divided in half,

and because the image is hung in the middle of the wall,

the subject of the image is that,

11 inches on each side, as well.

This is,

37 inches of wall on each side of 48-11.

A rectangle is a closed figure with four equal and opposite sides. Consequently, the length, which is also known as the height, and the width of a rectangle can be used to define it (sometimes called breadth).

The formula for a rectangle's surface area is as follows:

A=lxw

A=l×w

where:

A is the surface area of the rectangle;

L specifies the length of the rectangle.

Usually, it refers to the longest side of the rectangle.

W is the rectangle's width which is rectangle's shortest side.

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Given:

The length of the rectangle is 50 yards. The perimeter is less than 180 yards.

Required:

Write the solution inequality in terms of width w.

Explanation:

Let the width of the rectangle is w.

The perimeter of the rectangle is given by the formula:

Final Answer:

The first option is the correct answer.

After the 90° rotation, Block C will resemble this in some ways (see the image below).

So, rotate block C by 90°:

Block C will look somewhat like this (Refer to the image attached below) after the rotation of 90°.

Therefore, after the 90° rotation, Block C will resemble this in some ways (see the image below).

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The flat cost of the plan = is $46 per month

Cost per gigabyte = $5 per gigabyte

Number of gigabytes = g

The maximum amount Mei Mei wants to spend on the bill = is $70 per month,

So, for each month,

$46 + $5(g) < $70

⇒ $5(g) < $70 - $46

⇒ $5(g) < $24

⇒ g < $24/$5

⇒ g < 4.8

The number of gigabytes to be used per month should be less than or equal to 4.8.

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Inequality: 5g+46<70
Answer: g<4.8

Answer:2,523

Step-by-step explanation:

Hello!

The ratio between pig and other animals

 ==> looks like   [tex]\text{number of pigs}: \text{ number of other animals}[/tex]

Since there are 8 pigs and 11 other kind of animals

 ⇒ the ratio is ⇒ 8: 11

Hope that helps!

The equation of the parabola, in vertex form, that represents the ball's distance, y, from the hole, x seconds after the ball is hit is

y = (-2m/s²)t² + (-2m/s)t + 6m.

Given:

Let's assume that the hole is at y = 0m, with x seconds as the time.

The vertex of the parabola can be written as (-1s, 8m) where the time variable, x, is supposed to be in seconds, while the distance variable, y, is supposed to be in meters.

The ball reaches the hole at x = 1s, so we have point (1s, 0m)

The vertex of the parabola y = ax² + bx + c is known to be at

x = -b/2a,

So, -1 = -b/2a

We have the following equations,

8m = a(-1s)² + b(-1s) + c

0m = a*(1s)² + b(1s) + c

-1s = -b/2a

b = 2a × 1s

Substituting the value of b in the equations and simplifying them,

8m = a×1s² - 1s×2a×1s + c

⇒ 8m = a( 1s² - 2s²) + c = -a×1s² + c.

0m = a×1s² + 1s×2a×1s + c

⇒ 0m = a(1s² + 2s²) + c = a×3s² + c

Deriving the value of c from the second equation we put it in the first equation,

c = - a×3s²

The first equation is as,

8m = -a×1s² - a×3s² = -a×4s²

a = 8m/-4s² = -2m/s²

From the value of a we can calculate the values of b and c.

c = -a×3s² = -(-2m/s²)×3s²= 6m.

b = 1s×2a = 1s×(-2m/s²) = -2m/s.

Then the equation is:

y = (-2m/s²)t² + (-2m/s)t + 6m

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Answer:

Step-by-step explanation:

2038

It is determined that 188 students should be sampled to use the confidence interval for a proportion.

π ± z√π(1-π)/n

In which case,

z is indeed the z-score with the p-value of 1+α/2

The error margin is as follows:

M = z√π(1-π)/n

In this case:

Then:

M = z√π(1-π)/n

0.02 = 1.96√0.02(1-0.02)/n

√n = 13.72

n = 188.23

To summarize:

A total of 188 students must be sampled to estimate the proportion of of students who owns a scooter.

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In parallelogram ABCD, AB = 3 cm and the diagonals AC and BD are 5.8 cm and 4.2 cm respectively. If the diagonals AC and BD intersect at O, then the perimeter of ∆AOB is 8 cm

perimeter of a triangle = length 1 + length 2 + length 3

assuming

length 1 = AB = 3 cm

length 2 = 5.8 / 2

length 3 = 4.2 / 2

Reason for length 2 and length 3 is when the diagonal of a parallelogram intersect they bisect each other. bisect means divide each other into two equal parts

substituting the values

perimeter of the triangle = 3 + 5.8 / 2 + 4.2 / 2

= 3 + 2.9 +  2.1

= 8 cm

The perimeter of the triangle formed is 8 cm

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Answer: (8,-4), (6,-2), (5,-1)

The study design is best described as a case-control study.

A community uses a telephone survey to rate a representative sample of its citizens.

Diabetes is significantly correlated with obesity.

Non-experimental or observational study designs include cohort designs. In a cohort study, the participants don't already have the desired result. They are chosen based on the person's exposure status.

A case-control study is a sort of observational research in which two existent groups with outcomes that differ from one another are found and compared on the basis of a purported causal factor.

An example of an observational study design is the cross-sectional study design. In a cross-sectional study, the researcher simultaneously assesses the participants' exposures and outcomes.

Therefore, the study is a case-control study.

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Answer:

Step-by-step explanation:

We know how many pounds are needed to cover 5000 ft^2, and we need to find how many are needed to cover 27000ft^2. To find this value, divide 27000 by 5000 and multiply the result by the weight.

27000/5000 x 18.75
5.4 x 18.75
101.25

So, we need 101 1/4 pounds of fertilizer. How many bags is that?

101.25/18.75
5.4

We'll say that since the 0.4 of a bag will still need to be used, that you need 6 bags to cover 27000ft^2.

The number of squats she did in the first week is 81 squats.

This refers to the amount of value that a thing is incremented by, in a percentage, which is over 100.

Given that she had a percentage increase by 35%

And started doing 108 squats

To find the number of squats she did during the first week would be:

100-35= 75%

75/100 * 108= 81 squats.

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The shortest side is 22 meters in the mentioned quadrilateral.

Let us assume the length of first side be x. So, the other three sides of length will be (x + 1), (x + 2) and (x + 3). The perimeter is sum of all sides of the quadrilateral.

Keep the values in the formula of perimeter -

94 = x + x + 1 + x + 2 + x + 3

Performing addition on Right Hand Side of the equation

94 = 4x + 6

Shifting 6 to other side of the equation

4x = 94 - 6

Performing subtraction on Right Hand Side of the equation

4x = 88

Shifting 4 to Right Hand Side of the equation

x = 88 ÷ 4

Performing division

x = 22

Thus, the shortest side of quadrilateral is 22 meters long.

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The missing entries are (a) $686, (b) $635, (c) $1035, (d) $1010, (e) $938.88 and (f) $447.37.

Debit card is a card owned by a person for which the money used for transaction will be withdrawn or added into the account of the holder immediately.

Given is a table showing the transactions of Gino with his debit card.

He has an initial deposit amount of $778.19.

New balance in the account will be the difference of previous balance and the payment amount.

He paid $92.19 for baseball bat.

a = $778.19 - 92.19 = $686

He paid $51.00 for gas.

b = $686 - $51 = $635

He deposited $400.

c = $635 + $400 = $1035

He paid $25 for gas.

d = $1035 - $25 = $1010

He paid $71.12 for dinner at Spooner's on the beach.

e = $1010 - $71.12 = $938.88

He paid $491.51 for the books for all semester.

f = $938.88 - $491.51 = $447.37

Hence the missing entries are found.

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Answer: 6

Step-by-step explanation:

1. add (0.5 + 4.5) which equals 5, so now you have 2 x 5^2.

2. evaluate the power (5^2) which equals 25 and you end up with 2 x 25 which equals 50.

3. now you have 300 divided by 50.

300 divided by 50 is 6.

The value of the expression 300 divided by 2(0.5 +4.5)²is 6

Simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.

Given an expression, 300 divided by 2(0.5 +4.5)²

300/2(0.5 +4.5)²

= 300/2x5²

= 300/2x25

= 300/50

= 6

Hence, The value of the expression 300 divided by 2(0.5 +4.5)²is 6

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Answer:

-1/4

Explanation:

To write the decimal -0.25 as a fraction we need to multiply and divide by 100 as follows:

We multiply by 100 because there are 2 digits after the decimal point.

Then, we need to simplify the fraction, so we can divide the numerator and the denominator by 25 as:

So, the fraction in its simplest form is -1/4