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pav-90 [236]
3 years ago
5

Express 960% as a mixed number

Mathematics
2 answers:
maksim [4K]3 years ago
8 0

Answer:

9 3/5

Step-by-step explanation:

When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100

With this, its just a matter of transforming the improper fraction to a mixed number.

100 fits 9 times in 960 so there will be 9 wholes

the remaining 60/100 can be simplified to 3/5 through this process:

60/100 = 6/10 = 3/5

lesya692 [45]3 years ago
3 0

Answer:

9 3/5

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

960% = 960/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,

(960÷20)/(100÷20) = 48/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 960/100 is also equal to 9 3/5 when expressed as a mixed number.

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sineoko [7]
The figure is made up of two semi-circles and one triangle

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Find Radius
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Radius = Diameter ÷ 2
Radius = 5 ÷ 2 
Radius = 2.5 ft


Area of the semi-circle = 1/2 πr²
Area of the semi-circle = 1/2 x π x (2.5)²
Area of the semi-circle = 9.82 ft²

Area of the triangle= 1/2 x base x height
Area of the triangle = 1/2 x 6 x 4
Area of the triangle = 12 ft²

Total area = 9.82 + 9.82 + 12 
Total area = 31.63 ft²

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Total Area = 31.63 ft²
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4 0
4 years ago
Edward plans to put $75 into a savings account. He can place his money into an account represented by b(x) = 7x + 75, or into an
jasenka [17]
In 2 years :
b(x) = 7x + 75....b(2) = 7(2) + 75.....b(2) = 14 + 75....b(2) = 89
c(x) = 75(1.06)(2)...c(x) = 79.5 * 2 ....c(x) = 159

in 12 years :
b(x) = 7x + 75...b(12) = 7(12) + 75....b(12) = 84 + 75....b(12) = 159
c(x) = 75(1.06)(12)....c(12) = 79.5 * 12....c(12) = 954

c(x) has the highest value in both 2 and 12 years


8 0
3 years ago
Read 2 more answers
Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12
insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation  h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

-16t^2+ 160t + 120=0

Applying quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where, a=-16, b=160 and c=120

x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}

x=\frac{-160\pm\sqrt{33280}}{-32}

x=\frac{-160\pm 182.42}{-32}

x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}

x=−0.70,10.70

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0
3 years ago
The following table shows the assets and liabilities of the Chang family in 2007 and 2008.
fenix001 [56]
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4 years ago
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What does on the top number line represent?
Nuetrik [128]

Answer:

The top line is a pure gross sales number showing how much revenue the company brought in for a given period.

5 0
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