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Alexandra [31]
3 years ago
14

(1) Kareem pumped 28 gallons of water in her pool.This was done over a period of 4 minutes at a constant rate. What was the chan

ge in the amount of water in the pool each minute?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

7 Gallons of water get pumped into the pool every minute.

Step-by-step explanation:

28 Divided by 4= 7 so it is 7 gallons per min.

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Find the circumference and the area of a circle with radius 3 m.
Effectus [21]

Answer:

\boxed {c= 18.84 \ m}

\boxed {a=28.26 \ m^2}

Step-by-step explanation:

We are asked to find the circumference and area of a circle with a radius of 3 meters.

<h3>1. Circumference </h3>

The circumference is the perimeter of a circle. It is calculated using the following formula:

c= \pi d

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.

  • d= 2 r
  • d= 2 * 3 m
  • d= 6 m

The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

c= (3.14)(6 \ m )

Multiply.

\bold {c= 18.84 \ m}

<h3>2. Area </h3>

The area is the size of the circle's surface. It is calculated using the following formula.

a= \pi r^2

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

a= (3.14)(3 \ m)^2

Solve the exponent.

  • (3 m)² = (3 m)(3 m)= 9 m²

a= (3.14)(9 \ m)^2

\bold {a=28.26 \ m^2}

The circumference is 18.84 meters and the area is 28.26 square meters.

6 0
3 years ago
Number 6 part a &amp; b<br> Number 7<br> Please &amp; thank you
miv72 [106K]

Answer:

6- Part A: 750a+1200r=1000000

    Part B: 1065a+876r=1000000

Solution of the system: a\approx521.739\;\;\;\;b\approx507.246

Step-by-step explanation:

<u>Part A:</u>

In words, the equation is formed like this:

Total kg of Arabica + Total kg of Robusta = Total kg of coffee

Now, the total of each yield is calculated by the product of kg/hectare and number of hectares. Thus, the equation is:

750a+1200r=1000000

<u>Part B:</u>

In words:

Arabica's worth + Robusta's worth  = plantation worth

Each yield's worth is given by the product of the price per kg and the corresponding production. So, the equation is:

1.42(750a)+0.73(1200r)=1000000\\1065a+876r=1000000

3 0
3 years ago
What are the intercepts of x^2+y-9=0
Dmitry_Shevchenko [17]

Answer:

Zeros

x = -3   point (-3 ,0)

x = 3   point (3 ,0)

Step-by-step explanation:

Using a graphing calculator, we can easily check the intercepts of the equation

y  = -x^2 +9

8 0
3 years ago
How do i show my working when trying to work out 3 1/3 divided by 4?
PolarNik [594]

Answer:

5/6

Step-by-step explanation:

When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.

3 1/3 must be converted to an improper fraction before we can do this, though.

3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.

Now we can divide. Remember 4 is the same thing as 4/1

10/3 ÷ 4/1

Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.

It ends up looking like 10/3 x 1/4

Multiply: 10 x 1 and 3 x 4

It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.

The final answer is 5/6

6 0
2 years ago
What is the perimeter of the rectangle?
UkoKoshka [18]
B. Because 5 t 5 t 4 t 4 equals 18
6 0
3 years ago
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