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2 years ago

What is the range of values for the measurement 500±4%

1 answer:

8 0

To be able to determine the unknown range of the number with tolerance given, first we need to determine the 4% of 500. This can be done by multiplying 500 by the decimal equivalent of 4% which is equal to 0.04.

tolerance = (500) x (0.04) = 20

Lower limit: The lower limit is determined by subtracting 20 from 500.
Lower limit = 500 - 20 = 480

Upper limit: The upper limit is determined by adding 20 to the base value 500.
Upper limit = 500 + 20 = 520

The values, therefore, rang from 480 to 500.

<em>ANSWER: 480 - 520</em>

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The area of a rectangle is 72 cm2. State the dimensions of the rectangle with the least perimeter. Calculate the perimeter.

Nitella [24]

We know that
<span>Of all the rectangles having same area, square has the least perimeter
</span>
area of square=x²
where
x is the length side of the square
A=72 cm²
72=x²
x=√72-----> x=6√2 cm

Perimeter of square=4*x------> 4*(6√2)-----> P=24√2 cm
P=33.94 cm

the answer is
the perimeter is equal to 24√2 cm or 33.94 cm

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2 years ago

Write an inequality to describe the relationship between -1 2/3 and-1/4

Ivenika [448]

Step-by-step explanation:

- 1⅔ < -¼

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2 years ago

2. David and Josh both drove to their grandmother's birthday party. David drove 225 miles and made it in 3 hours. Josh drove 320

AnnyKZ [126]

Answer:

Josh was driving faster

Step-by-step explanation:

Josh was going faster becuase 320 divided by 4 is 80

and 225 divided by 3 is 75.

In conclusion Josh was going faster by 5mph.

6 0

2 years ago

Read 2 more answers

Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in

tatuchka [14]

Answer:

The equation representing how old Monique son is $\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

$q(t) = \hat q \times t + q_o$

where;

$q_o$ = initial height of Monique's son

$\hat q$ = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

$\hat q = 2 \dfrac{5}{8} \ in/yr$

$\hat q = \dfrac{21}{8} \ in/yr$

Then; from the equation $q(t) = \hat q \times t + q_o$

$34 = \dfrac{21}{8} \times 0 + q_o$

$q_o = 34\ inches$

The height of the son as a function of the age can now be expressed as:

$q(t) = \dfrac{21}{8} \times t + 34$

Then:

Making t the subject;

$q - 34 = \dfrac{21}{8} \times t$

$t = \dfrac{8}{21}(q-34)$

and the age of the son i.e. ( a (in years)) is:

a = 2 + t

So;

$\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

SO;

if q (growth rate) = 50 inches tall

Then;

$\mathbf{a = 2 + \dfrac{8}{21}(50-34)}$

$\mathbf{a = 2 + \dfrac{8}{21}(16)}$

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

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2 years ago

Nancy's mother has a large collection of footwear.

DiKsa [7]

I think A, C, D are right because of the 12 pairs of heels, 6 are black (6/12) That means half of them could be chosen and be black (0.5). Another way to write 0.5 is as a percentage, 50%.

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2 years ago