A group of friends is roping off a soccer field in a back yard. A particular full-size soccer field is a rectangle with a length of 100 yards and a width of 50 yards. To fit the field in the back yard, the group needs to reduce the size of the field so its perimeter is 60 yards.
What is the Area of the soccer field in the back yard?

Answer:

-22.5

Step-by-step explanation:

-15- |-7.5|

after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.

-15-7.5

=-22.5

The simplified expression -15 - |-7.5| is equal to -22.5.

To simplify the expression -15 - |-7.5|, we'll follow these steps:

Evaluate the absolute value: |-7.5|.

The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.

Substitute the absolute value into the expression:

-15 - 7.5.

Perform the subtraction:

-15 - 7.5 = -22.5.

Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.

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Answer:

12

Step-by-step explanation:

6n/4 = 6(8)/4

multiply 6and 8 = 48

48 divided by 4 = 12

Answer:

No, the two different lines have nothing to do with eachother  so the is no relationship and is not a proportional relationship.

Step-by-step explanation:

Step-by-step explanation:

10)We have to calculate the average speed if we know the distance and time that Johnatan can jog. The distance

distance=3 2/5 miles = 3.4 miles.

Time=7/8 hour = 0.875 h

Then we will use the formula for the average speed ( velocity )

velocity=distance/time. v = 3.4 m / 0.875 h = 3.866 mph

so therefore The average speed is 3.866 mph.

11) divide 120 / 7/4 (remember 120 = 120/1)

Which means you have to cross multiply (an important part on fraction division, that is, your division would be 120x4 / 1x7).

Then 120x4= 480

And 1x7 = 7

Then you get 480/7, which is the same as 68 4/7 mph

12)8 1/3=25/3

   25/3 pages of a book in 10 minutes

   Multiply both numbers by the reciprocal of 10, which is 1/10

  25/3 x 1/10=25/30=5/6

  10 x 1/10=1

So, Charlotte reads 5/6 pages of a book in 1 minute.

13)45 1/2% = 45.5% = 45.5/100 = 91/200

30 1/4% = 30.25% = 30.25/100 = 121/400

75 1/3% = 75.3333...% = 75.333.../100 = 11/15

Answer:

what he said

Step-by-step explanation:

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Answers:

Other answers are possible.

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Explanation:

Vertical angles form when we intersect two lines to form an X shape. The vertical angles are opposite one another. One pair of vertical angles is angle 1 and angle 4. The other pair is angle 2 and angle 3. Vertical angles are always congruent.

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Adjacent angles are angles that are side by side. They are neighbors. Here are all the possible adjacent angle pairings:

Think of these as neighboring apartments that share a common wall.

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Supplementary angles are any two angles that add to 180 degrees.

Gluing these angles gives a straight line.

For this problem any two adjacent angles are supplementary. Refer to the previous section to see the list of all possible supplementary pairs.

Answer:

Vertical angles: 1 and 4

Adjacent angles: 1 and 2

Supplementary angles: 3 and 4

Step-by-step explanation:

when a/5 divided by 3a/10  then the result will be 2/3.

A division is a process of splitting a specific amount into equal parts.

We need to find division of a/5  by 3a/10.

The given two numbers are fractions .

A fraction represents a part of a whole.

Now divide  a/5  by 3a/10.

When a fraction is divided by another fraction it is same as multiplying the first fraction by the reciprocal of the second fraction.

a/5 × 10/3a

10/15

2/3

Hence, when a/5 divided by 3a/10  then the result will be 2/3.

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Answer:

1/30

Step-by-step explanation:

25/30 - 24/30

25-24/30

= 1/30

Answer: the answer is he spent more time working out on thrusday then he did on monday

Step-by-step explanation: 30 is the common denominator between 4/5 and 5/6 and the two is 24/30 and 25/30. therefor 25/30 is thursdays so he worked out more on thursday

Answer:

1)y=3x-2

2)y=x-4

Step-by-step explanation:

1)As we know slope intercept from

y=mx-b

y=3/1x-2

y=3x-2

2)y=mx-b

y=1x-4

  y=x-4

Answer:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Step-by-step explanation:

Answer:

\( \frac{3}{9} \)

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

3/4 < 33/40

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Hope it helped

Answer: 28

Step-by-step explanation: Follwing PEMDAS, add the 3 and 5 in the parentheses first. You get 8, then multiply by 3, which gives you 24. Add 4 to 24 and it will give you 28.

Answer:

If i'm not mistaken, using PEMDAS which is parenheses, exponents, multiplication, division, adding and subtracting, the answer will be 28.

Step-by-step explanation:

3+5=8

8 * 3= 24

24 + 4= 28

Answer:

About 30.98386677 ft above the water.

Step-by-step explanation:

Use pythagorean theorem, a^2+b^2=c^2.

So when you plug in the numbers it would be x^2+22^2=38^2. Move 22^2 to the right side giving you x^2=38^2-22^2. Then subtract and take the square root of x^2.

Answer:

The answer is not provided in there but the answer is -2(4x-13)

Answer:

slope: -1/5

y-intercept: -6

Step-by-step explanation:

In an equation of the form

y = mx + b,

m is the slope, and b is the y-intercept.

You have

y = -1/5 x - 6,

so the slope is m which is -1/5, and the y-intercept is -6.

Answer:

- 1/3 × (-3/7) = 1/7

Step-by-step explanation:

Remember that a negative factor times a negative factor has a positive product.

Multiply each side by -1 to remove negatives, Then multiply straight across.

1/3 × 3/7 = 3/21   Simplify: divide numerator and denominator by 3.

3÷3=1    21÷3=7  

1/7

Answer:

x=4

y=12

therefore, the length of LN is 24.

Answer:

No because it doesn't start at it's origin

Step-by-step explanation:

I just took the test

Answer:

The answer will be A. -9095

Answer:

B. (36, -12)

Step-by-step explanation: