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Vesnalui [34]
1 year ago
7

Mark is planning to swim the 200-yard freestyle event at the next

Mathematics
1 answer:
bazaltina [42]1 year ago
7 0
Mark will swim 182.88 meters
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Find the slope of the line 8x – 4y = 8\ (hint: find 2 points; then use the slope formula)
Vera_Pavlovna [14]
8x - 4y = 8

-4y = -8x + 8

y = -8x/-4 + 8/-4

y = 2x - 2,  comparing to y = mx + c, slope m = 2

Slope = 2.
6 0
3 years ago
What is the square root of 902?
ad-work [718]

the square root is 30.0333148

4 0
3 years ago
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If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c
Zina [86]

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children    <-- We want to find this

a + c = 541             Equation for number of people

2.25a + 1.75c = 1041.25           Equation for money

<u>Rearrange the equation for people</u>. Isolate the variable you don't want to find.

a = 541 - c

<u>Substitute</u> "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25              

2.25(541 - c) + 1.75c = 1041.25               Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25               Collect like terms

1217.25 - 0.5c = 1041.25                   Simplified equation

<u>Start isolating "c".</u> Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25      Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25    Subtract 1217.25 on both sides  

-0.5c = -176               Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5               Divide both sides by -0.5

c = 352                Number of children

Therefore, there were 352 children in the pool.

5 0
3 years ago
A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.
Mandarinka [93]

Answer:

Then the answer is option a  

a. 0<x \leq10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= 2(x) + 2(2.5x)

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

2x + 2(2.5x) + 60 \leq  130

7x + 60 ≤ 130

7x ≤ 70

x ≤ 10

Then the answer is option a  

a. 0<x≤10

3 0
3 years ago
Find the number of ways to listen to 4 different CDs from a selection of 15 cds?
Mekhanik [1.2K]

Answer: letter a should be the correct answer

Step-by-step explanation:

5 0
3 years ago
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