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harkovskaia [24]
3 years ago
15

Tory and Quentin are the same age. Tory’s younger sister is the same age as Quentin’s younger brother. Tory is 3 years older tha

n her sister. Quentin’s age is 8 years less than twine his brother’s age. Write and solve an equation to determine Tory’s and Quentin’s ages.
Mathematics
1 answer:
wariber [46]3 years ago
6 0
Let Tory’s sister age = x

Since Tory is 3 years older than her sister ,

Tory = (x + 3)

let Quentin’s brother age = x

( because quentin’s brother & tory’s sister are the same age , we can let both their ages be x )

Since Quentin is 8 years less than twice his brother’s age ,

Quentin = (2x -8)

Since Quentin and Tory are the same age ,

x + 3 = 2x - 8

-x = -8-3
x = 11

Ans : 11 years old :)


I’m so sorry if this is incorrect

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fredd [130]

Answer:

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3 0
3 years ago
if 3/4 of a cup of water fills 2/3 of a plastic container, how many containers can you fill with one cup of water?​
Luda [366]

Answer:

1 cup of water will fill = \frac{8}{9} of the plastic container.

Step-by-step explanation:

Given :

\frac{3}{4} of a cup of water fills \frac{2}{3} of a plastic container.

To find number of containers that can be filled with 1 cup of water, we will use unitary method.

if \frac{3}{4} of a cup of water fills \frac{2}{3} of a plastic container.

Then 1 cup of water will fill = \frac{2}{3}\div \frac{3}{4} of a container.

Dividing fractions.

\frac{2}{3}\div \frac{3}{4}

Replacing division with multiplication by taking reciprocal of the divisor.

\frac{2}{3}\times \frac{4}{3}

Multiplying the numerators and denominators.

\frac{2\times4}{3\times3}

\frac{8}{9}

∴ 1 cup of water will fill = \frac{8}{9} of the plastic container.

5 0
3 years ago
Which equation represents a line that passes through (5, 1) and has a slope of ?
lys-0071 [83]

Answer:

y - 1 = 5(x - 5)

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, 1)

Slope = ?

From the question, the value of the slope is missing. Hence, let's assume a value of 5.

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 1 = 5(x - 5)

y - 1 = 5x - 25

y = 5x - 25 + 1

y = 5x - 24 = mx + c

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3 years ago
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Marta_Voda [28]

Answer:

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Answer:

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