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2 years ago

If 8 1/3 of a sum of money is $75, then the total sum of money is?

Mathematics

1 answer:

siniylev [52]2 years ago

3 0

We are required to find the total sum of money given the fraction

The total sum of money is $9

let

<em>Total sum of money</em> = x

8 1/3 × x = $75

25/3 × x = 75

25/3x = 75

Divide both sides by 25/3

x = 75 ÷ 25/3

x = 75 × 3/25

x = (75 × 3) / 25

x = 225 / 25

x = 9

Therefore, the total sum of money is $9

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If you had half a dollar, three quarters, eight dimes, six nickels, and nine pennies, how much money would you have altogether?

hjlf

Answer:

$1.69

Step-by-step explanation:

Half a dollar = $0.50

Eight dimes = $0.80

Six nickels = $0.30

Nine pennies = $0.09

Total = $0.50 + $0.80 + $0.30 + $0.09 = $1.69

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2 years ago

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3 years ago

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

Help on section C :)

FromTheMoon [43]

Hey there!

The correct answer would be that there are no x-intercepts. When you look at the graph, the function does not appear to pass through the x axis.

Therefore, your function has no x-intercept.

Hope this helps! :)

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3 years ago

What value of x will make the triangles similar by the SSS similarity theorem?

Sophie [7]

Answer:

1,5

Step-by-step explanation:

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3 years ago

If 8 1/3 of a sum of mone￼y is $75, then the total sum of money is?

If 8 1/3 of a sum of money is $75, then the total sum of money is?