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ArbitrLikvidat [17]
3 years ago
5

The distance between Rosa's house and her school is 4 1/2 of a mile. She ran 3 mile. What fraction of the distance between her h

ouse and her school, did Rosa run?
Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

Answer:

Rosa ran \frac{2}{3} of the total distance between her house and her school.

Step-by-step explanation:

Distance between Rosa's house and her school = 4\frac{1}{2} miles ≈ 4.5 miles

She ran distance = 3 miles

Therefore, fraction of the total distance between her house and school she run = \frac{\text{Distance run by Rosa}}{\text{Total distance between her house and school}}

      = \frac{3}{4.5}

      = \frac{30}{45}

      = \frac{2}{3}

Therefore, Rosa ran \frac{2}{3} of the total distance between her house and her school.

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mars1129 [50]

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
Simplify -9(1-10n) - 2(3n+9)
agasfer [191]

Answer:

3 (28 n - 9)

Step-by-step explanation:

Simplify the following:

-9 (1 - 10 n) - 2 (3 n + 9)

-9 (1 - 10 n) = 90 n - 9:

90 n - 9 - 2 (3 n + 9)

-2 (3 n + 9) = -6 n - 18:

90 n + -6 n - 18 - 9

Grouping like terms, 90 n - 6 n - 18 - 9 = (90 n - 6 n) + (-9 - 18):

(90 n - 6 n) + (-9 - 18)

90 n - 6 n = 84 n:

84 n + (-9 - 18)

-9 - 18 = -27:

84 n + -27

Factor 3 out of 84 n - 27:

Answer: 3 (28 n - 9)

4 0
3 years ago
One counting number is 4 times great as a counting number.The product of the two number is 36.What is the sum of the two number
VARVARA [1.3K]

Answer:

The sum of the two numbers is 15

Step-by-step explanation:

Let the counting numbers be x and y.

Then we can write the following equations

x=4y.......1 (one is four times greater )

x(y)=36.....2 (the product of the two)

Putting equation 1 into equation 2, we get

4y(y)=36

{4y}^{2} = 36

Dividing through by 4,we get

{y}^{2} =  \frac{36}{4}

{y}^{2} = 9

Taking square root of both side, we obtain

y=3

Putting the value of y into equation , we get

x=4(3)=12

Hence the numbers are 3 and 12

Therefore the sum of the two numbers is 3+12=15

3 0
3 years ago
Pythagoras anyone???
exis [7]
8^2 + 5^2 = 64+25 = 89 = square root 89
I don't have a calculator on me lol.

that specific side opposite the right angle is always the longest angle
a^2+b^2=c^2
7 0
3 years ago
Read 2 more answers
The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square
lianna [129]

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

8 0
3 years ago
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