A rectangular field is 280 m by 390 m. A rectangular barn 25 m by 33 m is built in the field. How much area is left over?

Answers

Answer 1
Answer: Field area:

280 x 390 = 109,200 m²

Barn area:

25 x 33 = 825 m²

let area:   109,200 - 825 = 108,375 m²



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John threw a surprise birthday party for his friend. Food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve and equation to find the cost c per person.

Answers

The required cost per person at the party is given as $15.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
John threw a surprise birthday party for his friend.
Let the cost per peroson be c,
According to the question,
32c = 480
c = 480 / 32
c = 15

Thus, the required cost per person at the party is given as $15.

Learn more about simplification here:

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First, you have to do 480/32. (divide) That gives you the cost of $15 per person.

Shannon and her family are traveling in the car. Her mom brought 1/2 pound of raisins to share equally between the four family members. How much will each person get?

Answers

Each family member will recieve .125 pounds of raisins because 1/2 divided by 4 = .125
 

Answer: 1/8

The answer is: 1/8

Victor Malaba has a net income of $1,240 per month. If he spends $150 on food, $244 on a carpayment, $300 on rent, and $50 on savings, what percent of his net income can he spend on other things
I'm getting lost when solving for x
Any help is greatly appreciated

Answers

$1,240-$150-$244-$300-$50=$496 left
496/1240=x/100
x=49600/1240=40%
All you have to do is use proportions.
=)=)=)

a model car has a scale of 3 cm : 2 m. The length of the actual hood of the car is 1 m. What is the length of the model?

Answers

1.5 cm is the length of the model.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

a model car has a scale of 3 cm : 2 m.

The length of the actual hood of the car is 1 m.

Now,

Set up a proportion:

3cm/2m = x/1m

Cross-multiply:

2x=3

Divide by 2:

x=1.5 cm

Hence, 1.5 cm is the length of the model.

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Set up a proportion:
3cm/2m = x/1m
Cross-multiply:
2x=3
Divide by 2:
x=1.5 cm

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25

Answers

The length of the third side of a triangle is always less than the sum of the other two legs. Therefore if we add the two legs we obtain,

leg 1 + leg 2

10 + 15 = 25

Since the sum of the legs is 25, thus, the third leg should be less than 25. 

Answer:

A. Less than 25.

Step-by-step explanation:

Let x represent 3rd side of triangle.

We have been given hat two sides of a triangle have lengths 10 and 15.

We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.

Using triangle inequality theorem, we can set following inequalities:

x+10>15

x+10-10>15-10

x>5

Therefore, the length of third side should be greater than 5.

10+15>x

25>x

x<25

Therefore, the length of third side should be less than 25 and option A is the correct choice.

What is the midpoint of OA ?A: (2m, n)


B: (m, n)


C: (m – n, 0)


D: (m, 2n)

Answers

Answer:

(m,n)

Step-by-step explanation:

Since O is at the origin, we can take the coordinates of point A and divide them by 2 to find the midpoint

( 2m/2,2n/2)

The midpoint is at (m,n)