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3 years ago

To add or subtract fractions with different denominators, first find equivalent fractions with a _____ denominator.

Mathematics

2 answers:

stepladder [879]3 years ago

5 0

The missing word for this sentence is common

Have A Good Day :)

pentagon [3]3 years ago

3 0

<span>Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator.</span>

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Find the surface area of a sphere with a great circle that has an area of 49 π square miles.

Mademuasel [1]

The answer is <span>B. 196 π mi2
</span>
(1) Find radius r:
The area of the circle is:
A = r²π
A = 49π mi²

49π = r²π
49 = r²
r = √49 = 7 mi

(2) Find the surface area of the sphere.
The surface area of the sphere is:
A = 4πr²
r = 7 mi
A = 4π * 7²
A = 4π * 49
A = 196π mi²

3 0

4 years ago

What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of

8_murik_8 [283]

Given:
principal = 7,000
interest rate = 5% compounded annually
term = 3 years

A = P (1 + r/n)^nt

A = future amount to be received by First Consumer Bank
P = loan principal
r = rate
n = number of times compounded in a year
t = term

A = 7,000 ( 1 + 5%/1)^1x3
A = 7,000 (1.05)³
A = 7,000 (1.157625)
A = 8,103.375

First Consumer Bank will receive 8,103.375 from Jane after lending 7,000 for 3 years compounded annually at 5%.

6 0

3 years ago

You need 8 oz of red paint and 12 oz of blue paint to make purple paint. How much red paint is needed for 15 oz of blue paint?

olga2289 [7]

Answer:

10oz

Step-by-step explanation:

Solve

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3 years ago

Goran ran three times last week. Here are the distances he ran (in kilometers).9.94,6.65,10 What is the total distance Goran ran

kolbaska11 [484]

Answer:

26.59 kilometers

Step-by-step explanation:

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3 years ago

A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe

Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= $\frac{2}{3}$ × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V = $\frac{2}{3}$ × π × (1)³

= $\frac{2}{3}$ × π cubic feets

The volume of each smaller hemisphere-shaped mold = $\frac{2}{3}$ × π × r³ cubic units

So, for 27 molds, the volume = 27 × $\frac{2}{3}$ × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

$\frac{2}{3}$ × π = 27 × $\frac{2}{3}$ × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

#SPJ4

6 0

2 years ago