At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?

Answer:

y = 27

Step-by-step explanation:

The output is the value of y when x = 5

Substitute x = 5 into the function , that is

y = 12 + 3(5) = 12 + 15 = 27 ← output

The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

What is counterclockwise ?

Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.

According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:

(x', y') = (-y, x)

where (x, y) is the original point and (x', y') is the new point after the rotation

Plugging in the values from the given point, we get:

(x', y') = (-(-8), -7)

Simplifying this expression, we get:

(x', y') = (8, -7)

Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

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Answer:

9

Step-by-step explanation:

Answer:

x = 20°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.

x + 160 = 180

x = 20°

Answer:

Step-by-step explanation:

Complete the following equation using , or = 3.20 ___ 3.02 A.

The following equation 3.20 > 3.02

Answer: the greatest common factor is 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

596.34m approx

Step-by-step explanation:

Given data

Let the Starting point be x

A helicopter flew north 325 meters from x

Then flew east 500 meters

Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position

x^2= 325^2+500^2

x^2=105625+250000

x^2= 355625

x= √355625

x=596.34m

Hence the distance from the starting point is 596.34m approx

Answer: Area= length x width

63

Answer:

A

Step-by-step explanation:

When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A

Answer:

A 30 year fixed rate mortgage at 4.5% with principal of $150,000 has a monthly payment of $760 per month. After

30 years, what is the total amount spent on interest?

A) $6,750

B) $123,600

c) $156,750

D) $273,600

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

Given

Total marbles are 75

Out of this 15 are purple

Percentage of purple marbles is given by

[tex]\Rightarrow \dfrac{15}{75}\times 100=20\%[/tex]

So, purple marble constitutes of 20%

Answer:

3. - 8n² -8n + 3

Step-by-step explanation:

(4n^4 - 8n +4) - (8n² + 4n^4 +1)

Firstly, open the brackets.

= 4n^4 - 8n +4 - 8n² -  4n^4 - 1

Now, group like terms.

= 4n^4 - 4n^4 - 8n² -8n - 1 + 4

4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4

= - 8n² -8n - 1 + 4

= - 8n² -8n + 3

Answer:

14x + 63

Step-by-step explanation:

[tex]7(2x+9)\\\\14x+63\\\\\left \{ {{7*2x=14x} \atop {7*9=63}} \right.[/tex]

Hope this helps.

Answer:

False.

Step-by-step explanation:

Answer:

€4,378,000,000

Step-by-step explanation: just took the test :)

Answer:

A

Step-by-step explanation:

Took the test

Answer:

Step-by-step explanation:

Area of the Wall minus the Area of the headboard      

Area = length x width      in  this use tall as length and wide as width

Area Wall - Area Headboard  =  (Tall wall)(Wide wall)  -  (Tall head)(Wide head)

                 =  (9)(7) - (5)(6) feet

                 =    63 - 30  feet

                 =   ????                      I'll let you finish it

The area of the space that will remain after she places the bed against the wall is 30 feet².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

The headboard, which is 6 feet wide and 5 feet tall.

The headboard on a wall that is 7 feet wide and 9 feet tall.

So, Area of remaining space

= Area of the Wall - Area of the headboard      

= (9)(7) - (5)(6) feet

= 63 - 30  

= 30 feet²

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Answer:

16

Step-by-step explanation:

Answer: 16 ft

Step-by-step explanation:

1/2 = divided by 2)

sameyalingareddy avatar

Area of A Triangle formula: b*h*1/2

4/2=2. 2*8=16

Answer:

D

Step-by-step explanation:

It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Step-by-step explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1

Answer:

i need more info

Step-by-step explanation:

Answer:

∠z = 55°

Step-by-step explanation:

90° - 35° = 55°

Answer:

parallel

Step-by-step explanation:

Because a is pependicular to k

Answer:

I'm sure it is 25 hope this helps!!!

Answer:

Should be 25

Step-by-step explanation:

Lol is that pearson realize? i hate that buddy good luck

Answer:

64oz=4lb

Step-by-step explanation:

When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.

To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.

64/16=4

64oz=4lb

Answer:

-12.5-10n

Step-by-step explanation:

jjjjjjjvuvubibuvuvuvibibivi

Answer:

distribute to get:

7.5 -10n -20

-10n - 12.5

Question:

A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answer:

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Step-by-step explanation:

Given

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Required

Determine an expression for the area

Area is calculated as:

[tex]Area = Length *Width[/tex]

[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]

Expand

[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]

Collect like terms

[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]