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Paha777 [63]
3 years ago
15

72 is equal to 80% of a number n. Write and solve and equation to find n. Write the percent as a decimal.

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

n = 90

Step-by-step explanation:

To solve this, we need to write the questions mathematically and then solve

72 = 80% of n

72   = \frac{80}{100} ×  n

72  =  \frac{80 n}{100}

Multiply both-side of the equation by 100

72 × 100 =  \frac{80 n}{100}   ×100

At the right-hand side of the equation, 100 will cancel-out 100, leaving us with just 80 n

7200 = 80 n

Divide both-side of the equation by 80

\frac{7200}{80}  =  \frac{80n}{80}

(On the right-hand side of the equation, 80 will cancel out 80 leaving us with just n while on the left-hand side of the equation 7200 will be divide by 80)

\frac{7200}{80}   =   n

90  =  n

n = 90

valentina_108 [34]3 years ago
4 0
Well I'm not sure what the answer would be since I'm not that smart but I did get the answer of 90, I did this by dividing 72 by 80 which equals .9 and I multiplied that by 100 and got 90.
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Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees
steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

<em>As we know that , Diameter is biggest chord which passes through center of circle,</em>

<em>Hence it divides the circle into two equal parts and making center as midpoint of it</em> .

(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so  arc DB=160 degree  or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

=340 degree.

Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0
3 years ago
The triangle shown below has an area of 10 units2.<br> Find x.<br> 7<br> 4<br> x<br> units
SVEN [57.7K]

Answer:

<h3>x = 5 units</h3>

Step-by-step explanation:

area of a triangle = 1/2 base * height

where area = 10 units²

        height = x units

          base = 4

<u>plugin values into the formula:</u>

10 = 1/2 * 4 * x

x =<u> 10 (2) </u>

        4

x = 5 units

3 0
3 years ago
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nlexa [21]
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7 0
3 years ago
Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 ours, what is the equation of a line that models y,
fgiga [73]

Answer:

y=40-15x

Step-by-step explanation:

Let x represent the number of hours.

We have been given that Dudley travels 30 miles every 2 hours, so distance covered in each hour by Dudley would be:

.

Since Dudley travels 15 km per hour, so distance covered in x hours would be 15x.

We have been given that Dudley wants to cover 40 miles. So we can represent our given information in an equation as:

, where, y represents number of miles he has left to travel, after biking x hours.

3 0
3 years ago
1.On Sunday morning, Mrs. Turner made 2 gallons of juice. How many cups of juice did she make?2. Later that night, her family dr
kap26 [50]

Answer:

1. 16 cups

2. 8 pints

Step-by-step explanation:

In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.

To solve this problem, we need to know the amount of cups present in a gallon of juice.

Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice

2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice

We need our answer in pints however.

Mathematically, 1 pint is composed of 2 cups.

This means 16 cups would be composed of 16/2 pints = 8 pints

4 0
3 years ago
Read 2 more answers
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