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dimaraw [331]
3 years ago
8

Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards? Write

your answer as an improper fraction using the / symbol for the fraction.
Mathematics
1 answer:
Temka [501]3 years ago
4 0
It would be 9 1/3 divided by 7/1 or 28/3 * 1/7

It would give you 28/21 which would simplify to 4/3 and still leave you with an improper fraction
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Solve for the vector x + 2a - b in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad Vector menu.) x + 2
nikdorinn [45]

Answer:

x+2a-b=5x+5a-2*3a+2*b

x+2a-b=5x+5a-6a+2b

x+2a-b=5x-a+2b

5x-x=2a-b+a-2b

4x=3a-3b

4 x=3(a-b)

x=3/4(a-b)

5 0
3 years ago
A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the sur
denis23 [38]

Answer:

The radius of the sphere, to the nearest cm:

r\approx 20 cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

  • The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

A\:=\:4\pi r^2

r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}

Plug in Surface Area of sphere =  5024, π = 3.14 in the formula

\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:

r\approx 20 cm

Therefore, the radius of the sphere, to the nearest cm:

r\approx 20 cm

3 0
2 years ago
A rectangle has a 15 to 20. Identify the ratio.
marishachu [46]

Answer:

15:20

15/20

15 to 20

there are 3 types of ways and there you go.

Step-by-step explanation:

have a great day ! :)

5 0
3 years ago
Read 2 more answers
Is 4y^2 + 9 = -4 a linear equation?
bekas [8.4K]

Answer:

  No.

Step-by-step explanation:

The exponent of y is 2, which is not 1, so the equation is 2nd degree, <em>not linear</em> (1st degree).

6 0
3 years ago
The distribution of heights of young women aged 18 to 24 is approximately normal with a mean of 64.5 inches and a standard devia
Lena [83]
The 68 - 95 - 99.7 rule, gives the basis to solve this question.

It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.

Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches

mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches

mean +  2 standard deviations = 64.5 inches + 5 inches = 69.5 inches

Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.

6 0
3 years ago
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