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:

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


Related Questions

In his garden tim plants the seed 5 1/4 in. below the ground. After one month the tomato plant has grown a total of 11 1/2 in. How many inches is the plant above the ground?

Answers

Answer:

6 1/4

Step-by-step explanation:

Two angles are suppiementary, One angle is three times the measure of the other. What are the measures of the angles? Enter only the number in the box. Do not enter words or symbols. Angle measures can be entered in either order Help ASAP​

Answers

Answer:

135 degrees and 45 degrees

Step-by-step explanation:

Two angles are supplementary when their sum adds up to 180 degrees.

The sequence -9,-15,-21,-27 is a
Arithmetic sequence or Geometric sequence

Answers

Answer:

Arithmetic sequence

Step-by-step explanation:

It's Arithmetic sequence, because it's basically the list of integers that can be added, or subtracted by a same number every time. So, according to the following sequence shown, it shows that it's subtracting by [tex]6[/tex] every time.

Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer than the other. To find the side lengths, he first writes the equation (x)(x+5)=66 and later simplifies (x-6)(x+11)=0 it to , where x is the length of the shorter side. Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply

Answers

Answer:

The shorter side is 6 ft and the longer side is 11 ft

Step-by-step explanation:

The options are not given, but we could solve and arrive at an answer

say the shorter side is x

and the longer side is x+5

we know that the area of a rectangle is given as

x*(x+5)=66

open the bracket

x^2+5x=66

x^2+5x-66=0

Find two factors of  -66  whose sum equals the coefficient of the middle term, which is   5 .

the factors are 11 and -6

splitting the middle term using the two factors  11  and  -6

x2 +11x - 6x - 66=0

x(x+11)-6(x+11)=0

(x-6)=0

x=6

(x+11)=0

x=-11

The shorter side is 6 ft and the longer side is 11 ft

What are the quotient and remainder of (2x4 + 5x3 – 2x – 8) + (x+3)?
a. 2x3 - x2 + 3x - 11; 1
c. 2x3 - x2 + 3x - 11; 25
b. 2x4 -x + 3x2 - 11; 25
d. 2x3 - x2 + 3x + 11; 25

Answers

Answer:

option b ) 2x3 - x2 + 3x - 11; 25

Step-by-step explanation:

Is the equation y=-2x+7 parallel

Answers

Answer:

Yes it's parallel

Step-by-step explanation:

Lines with the same slope are parallel.

The slope is -2.

What is the value of y?

2 StartRoot 3 EndRoot units
4 units
4 StartRoot 3 EndRoot units

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i believe it's B on edge! hope this helps!!~ ( ´ ▽ ` )ノ

HELP FAST! I need help with this math problem. A, B, C or D?

Answers

Answer:

d

Step-by-step explanation:

The cost of 7 scarves is $68.25. What is the unit price?

Answers

Answer:

The unit price of this item would be *( $9.75 )*

Step-by-step explanation:

Answer:

$9.75

Step-by-step explanation:

68.25/7=9.75

15. (01.04 MC)
Simplify the following expression: (-1)(-7)(4) (1 point)

12
28
-12
-28

Answers

Answer:

28

Step-by-step explanation:

(-1)(-7)(4)

Let’s rephrase this

(-1) * (-7) * 4

Multiple in order

(-1) * (-7) = 7

A negative times a negative equals a positive.

7 * 4= 28

PLS IT URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Im sorry because I do not know that.

Step-by-step explanation:

Whats the answer


I have sent a photo im not sure if u can see it​

Answers

Answer:

That would be (-5,5)

Step-by-step explanation:

Unless I saw the photo wrong, you start at the coordinates (-3,-1). You move left 2 units to get to (-5,-1). Then you move 6 units up. That will get you to (-5,5).

I hope this helps! All credit should go to tjclrk1; I had to edit

what ratios are equivalent to 10:12 plz help i need this done by today.

Answers

Answer:

5:6 is the only ratio that is possibly equivalent

Step-by-step explanation:

divide 10 by 2 then 12 by 2 to get 5:6

Please hurry!! I'm trying to get this done fast

Answers

Answer: the pre image is FGH

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The triangle was translated 4 units down.

It can not be A, because it would have needed to be translated up 4 units.

It can't be C, because they are not both images, one is the starting image or the pre-image and the other is after the translation or the image.

D is incorrect because it con be determined.

Hope this helps :-)

Find the equation of the linear function represented by the table below in slope-
intercept form.


y=Mx+B

Answers

Answer:

y = x + 4

Step-by-step explanation:

Let the equation of the linear function represented by the table is,

[tex]y-y_1=m(x-x_1)[/tex]

where m = slope of the line

And this line passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Slope of the given line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given table two points lying on the function are (-4, 0) and (1, 5).

Slope 'm' = [tex]\frac{5-0}{1+4}[/tex] = 1

Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,

y - 5 = (x - 1)

y = x + 5 - 1

y = x + 4

help asap
A Dog grooming service takes care of dogs by giving dogs (d) a bath, (b) (Some dogs don't require a bath) cutting its nails (n)( Assume a nail can only be cut partially and cutting their hair H (Measured as a weight in pounds )
6) Which set of numbers best describes the value of the variable? Choose the most specific value.d(# of dogs)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
7)Which set of numbers best describes the value of the variable? Choose the most specific value.b (number of baths)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
8) Which set of numbers best describes the value of the variable? Choose the most specific value.n (number of nails cut. Assume only part of a nail can be cut)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
9) Which set of numbers best describes the value of the variable? Choose the most specific value.H. (wight of hair in pounds)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real

Answers

Answer: (6) a      (7) b     (8) d     (9) d

Step-by-step explanation:

a) Natural Numbers:            1, 2, 3, ...

b) Whole Numbers:          0, 1, 2, 3, ...     (add zero to the Natural numbers)

c) Integers:   ..., -3, -2, -1, 0, 1, 2, 3, ...   (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating.  This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

6) The variable (d) represents the number of dogs.  You cannot have a fraction of dog (rational), a negative number of dogs (integer), or zero dogs (whole) so the variable will be a NATURAL number.

7) The variable (b) represents the number of baths. You cannot have a fraction of a bath (rational), a negative number of baths (integer), but you can have zero baths so the variable will be a WHOLE number.

(8) The variable (n) represents the number of nails.  You can have a fraction of a nail so the variable will be a RATIONAL number.

(9) The variable (h) represents the number of pounds of hair.  You can have a fraction of a pound so the variable will be a RATIONAL number.

Find the area. Simplify your answer.

Answers

Answer: 1.5x²

Step-by-step explanation:

Rule: To find the area of a triangle, multiply the base times one side, then divide the product by 2.

Step 1: Find the length of the left side using the pythagorean theorem.

a^2 + b^2 = c^2.

x^2 + 2x^2 = 3x^2

√3x² = 3x

Step 2: Multiply the base times the hypotenuse.

x * 3x = 3x²

Step 3: Divide by two

3x²/2 = 1.5x²

Four students decide to flip a coin a number of times and record their results. Dan flips his coin 5 times, Kelly flips her coin 25 times, Amando flips his coin 50 times, and Judah flips his coin 100 times. Whose results will most likely approach the theoretical probability?​

Answers

Answer:

Judah

Step-by-step explanation:

Because the more times you do the same thing over and over again then average it the more accurate it becomes

Fiona’s mom bought 36 apples for Fiona and her 9 friends to eat. They each ate the same number of apples. Each of them only ate whole apples. How many apples were left over from the 36 her mom bought?
A:0
B:3
C:4
D:6

Answers

Answer:0

Step-by-step explanation: because all of the friends will get 4 apples and 4x9 is 36

Answer question 1-15 by 6pm

Answers

Answer:

Step-by-step explanation:

It is not really a question we can help you with you have to draw shapes for each 3 letters

You can buy a skateboard from your friend for $60 and rent a helmet for $2 per hour. Your other option is to rent a skateboard and a helmet for $6 per hour. How many hours must you skateboard so that the costs would be the same? Write an equation.

Answers

Answer:

3 hours if you buy the board and 11 hours if you rent

please answer these questions I have an f if I don't get help I will die

Answers

Answer:

rip just search em up and its kinda blurry sorry

Step-by-step explanation:

5/m-9 = 8/m+5

Solve the following proportions, while using cross multiplication.

Answers

The answer is gonna be -3/14

852 divided by 3 ?...........

Answers

Answer:

284

Step-by-step explanation:

Answer:

284

Step-by-step explanation:

Write a proportion for each situation. Then solve
c. 25 yards in 2 1/2 seconds 100 yards in y second

d. 480 heartbeats in 4 minutes z heartbeats in 1 minute​

Answers

Answer:

c. x = 10d. z = 120

Step-by-step explanation:

Given proportions

Equations as per ratio and solution for each

c. ..................................

25 ÷ 2 1/2 = 100 ÷ x25 ÷ 5/2 = 100 ÷ xx = 100×5/2÷25x = 10

100 yards in 10 seconds

d. ..................................

480 ÷ 4 = z ÷ 1120 = zz = 120

120 heartbeats in 1 minute

Answer:

c.   y = 10 secs.d.   z = 120 heartbeats

Step-by-step explanation:

c.  ratio and proportion:

25 yards   =    100 yards

  2.5 sec.             y sec.

cross multiply:

100 (2.5) = 25 (y)

simplify:

y = 250 / 25

y = 10 secs.

------------------------------------------

d.  ratio and proportion:

480 heartbeats =    z heartbeats  

     4 mins.                      1 min.

cross multiply:

4 (z) = 480 (1)

simplify:

z = 480 / 4

z = 120 heartbeats

Please Help!! I Have Less Than 20 Minutes!!

Answers

Answer:

i think c if not im really sorry

Step-by-step explanation:

Find the quotient of 2 ÷ 3 8 .

Answers

Wouldn’t the answer be 19.
The answer is 0.05 if it’s rounded

I NEED HELP ASAP! I WILL GIVE YOU BRAINLIST!!!
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
A. Side A D
B. Side B G
C. Side C E
D. Side D F
*I have been informed its not D*

Answers

Answer:

try a

Step-by-step explanation:

could be wrong dude sorry.


Select each set of points that are coplanar.

Answers

Answer:
J, K, and L

Explanation:
It needs to be a flat surface to be the same coplanar the only answer that is flat is J, K, and L

Find cosα given that sinα = 5/13 and α is in quadrant II

Answers

Answer:

cos α = - [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Since α is in second quadrant then cosα < 0

Using the identity

sin²α + cos²α = 1 then

cosα = - [tex]\sqrt{1-sin^2\alpha }[/tex]

         = - [tex]\sqrt{1-(\frac{5}{13})^2 }[/tex]

         = - [tex]\sqrt{1-\frac{25}{169} }[/tex]

         = - [tex]\sqrt{\frac{144}{169} }[/tex]

         = - [tex]\frac{12}{13}[/tex]

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