The ages of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the youngest brother?

Answers

Answer 1
Answer:

Answer:

28 years

Step-by-step explanation:

youngest brother's age = x

middle brother's age = x+2

oldest brother's age = x+4

3(x-2) = (x+2)+48

[simplify]

3x-6 = x+50

[add 6 to each side]

3x = x+56

[subtract x from each side]

2x = 56

[divide each side by 2]

x = 28

Answer 2
Answer:

Final answer:

By forming an equation based on the information given in the question, we can deduce that the age of the youngest brother is 26 years.

Explanation:

Let's assume the youngest brother's age as 'x'. Since it's given that three brothers have **consecutive even integer** ages, the other two brothers' ages will be 'x+2' and 'x+4' respectively.

Per the question, three times the age of the youngest brother exceeds the oldest brother's age by 48 years, so we'll build an equation accordingly, which is 3x = x+4+48.

Now, let's simplify this equation: 3x = x+52. Subsequently, when we subtract x from both sides, we get 2x=52. Breaking it down further, we are left with x=26.

So, the age of the youngest brother is 26 years.

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A taxi service charges an inital fee of $3 plus $1.80 per mile.how far can you travel on $12

Answers

1.80x + 3 = 12

isolate the x

1.80x + 3 (-3) = 12 (-3)

1.80x = 9

1.80x/1.80 = 9/1.80

x = 9/1.80

x = 5

you can travel up to 5 miles

hope this helps
m= # of miles

$12 < $3 + $1.80m
subtract 3 from both sides
9 < 1.80m
divide both sides by 1.80
5 < m

ANSWER: They can travel 5 miles on $12.

Hope this helps! :)

14.88 to 12.32 find the ratio

Answers

14.88 to 12.32

14.88 : 12.32.         2 into 14.88 is 7.44,  2 into 12.32 is 6.16

7.44 : 6.16              2 into 7.44 is 3.72,  2 into 6.16 is 3.08

3.72 : 3.08              2 into 3.72 is 1.86,  2 into 3.08 is 1.54

1.86 : 1.54              2 into 1.86 is 0.93,  2 into 1.54 is 0.77

0.93 : 0.77

You can multiply both numbers by 100 to change it whole numbers.

0.93*100  : 0.77*100

93 : 77 

a buyer purchased 8 blue shirts and X red shirts. The ratio of blue shirts to red shirts purchased was 2:5. How many red shirts did the buyer purchase?

Answers

Answer:

20

Step-by-step explanation:

b:r            

2:5

8:x       8/2=4

           5*4=20

The quotient of the opposite of 30 and 6, plus the opposite of 8

Answers

The value of the expression is -13.

what is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given:

The quotient of the opposite of 30 and 6, plus the opposite of 8

The opposite resemble here the opposite integer.

So,

-30 / 6 + (-8)

=-5 -8

=-13

hence, the value of expression is -13.

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The quotient of the opposite of 30 and 6, plus the opposite of 8
-30 ÷ 6 + (-8)
-5 + (-8) 
-5 - 8
-13

N2 = 39


HELP YALL ILL GIVE BRAINLY

Answers

Answer: 78

Step-by-step explanation: multiply 39 by 2

The answer to this question is 78

What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Answers

By what the question asks, I assume that this refers to getting the slope in a linear equation.

The correct option is:

She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.

A general linear equation is given by:

y = a*x + b

where a is the slope and b is the y-intercept.

We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:

a = (y_2 - y_1)/(x_2 - x_1)

Notice that the formula is the change in y-values with respect to the x-values,

So we can conclude that the correct option is:

"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."

If you want to learn more, you can read:

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Answer:

The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Slope of a line is expressed according to the formula;

Slope m = Δy/Δx

Slope = y2-y1/x2-x1

Given the coordinates (–7, 4) and (2, –3), from the coordinates;

x1 = -7, y1 = 4, x2 = 3, y2 = -3

Substitute into the formula;

Slope = -3-4/3-(-7)

Slope = -7/3+7

Slope = -7/10

Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values