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3 years ago

Jack has two more than half as many cups as

Mathematics

1 answer:

Rufina [12.5K]3 years ago

4 0

Step-by-step explanation:

$(x \div 2 + 2) + \frac{(x \div 2 + 2)}{2} + x$

its hard to determine without the known value of x, but the above would be the equation needed to solve it if you knew what x was

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Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each

cestrela7 [59]

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

$J = 3G$ ..........equation 1

$G = C + 6$ ........equation 2

$J + G + C = 149$ ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

$J = 3(C + 6)$

$J = 3C + 18$ ........equation 4

Substituting equation 2 and equation 4 into equation 3;

$(3C + 18) + (C + 6) + C = 149$

Simplifying the equation, we have;

$5C + 24 = 149$

$5C = 149 - 24$

$5C = 125$

$C = \frac {125}{5}$

C = 25 years.

To find G; from equation 2

$G = C + 6$

Substituting the value of "C" into equation 2, we have;

$G = 25 + 6$

G = 31 years.

To find J; from equation 1

$J = 3G$

Substituting the value of "G" into equation 1, we have;

$J = 3 * 31$

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

4 0

3 years ago

Tip is 20% how much would eaxh of the 4 people leave if the roatle cost without the tip was $18.00

salantis [7]

$18.00 if you move the decimal one place to the left 10% tip would be $1.80,
multiply $1.80 x 2 = $3.60 which is 20% for the tip.
$18.00 + $3.60 = $21.60 divide by 4 people = $5.40 per person

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3 years ago

David has a paper route. He delivers a certain number of papers every day. For each paper he delivers, he makes the same amount

Vaselesa [24]

Find how many hours he does in a day and then divide that by the number of papers he delivers every day.

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3 years ago

Identify the sequence as arithmetic, geometric, or neither. Explain your answer.

Vladimir79 [104]

Algebraic, because it is a list decimals rounded by tens.

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4 years ago

In the last ten years, the population of Brazil has grown at an

Mila [183]

Answer:

just look at the 10 years in the past then we produce more people then we lose so times it by 3

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3 years ago