Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. how old is Beth?

Answers

Answer 1

Answer:

Beth is five years old.

Step-by-step:

Beth + Julio + Gerald + Debra = 38

B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38

Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.

Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38

B +  (B -2) + (2B) + (4B) = 38

Simplfy the like terms.

8B - 2 = 38

Add 2 on both sides.

8B = 38 + 2

8B = 40

Divide both sides by 8 to isolate the variable.

8/8 B = 40/8

B = 5


Related Questions

r=1.2 yd area of the circle

Answers

Answer: 1.44pi

Step-by-step explanation:

Which function below has a Domain of all Real Numbers (i.e. (-∞,∞))
A. Linear
B. Exponential
C. Quadratic
D. All of these functions have a domain of all real numbers (-∞,∞)

Answers

Answer:

all have domain of real numbers

Step-by-step explanation:

Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?​

Answers

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer:

Hopefully u will satisfy with my answer..!!

help me please this will help my grade !

Answers

Answer:

c. [tex]\sqrt{13}[/tex]

Step-by-step explanation:

the 13 will have an ongoing decimal

Answer:

The irrational number is C

Step-by-step explanation:

C can't be written as a rational number because it cannot be written as a fraction (n/d)

A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events. If 15 students do field events only and 10 do both swimming and track events, how many students do a) swimming knly b)track events only c) all three events?

Answers

Answer:

Step-by-step explanation:

3

30
200
y - 200+ 0.50x
y = 50 + 0.30x
Consider the data shown on the graph.
• The y-intercept represents the base price of $ drag and drop answer here for airfare from NYC
• The slope represent a cost of drag and drop answer here cents per mile traveled.
• If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be drag and drop answer here
• If the cost per mile changed to 50 cents, the new equation would be drag and drop answer here

Answers

Answer:

Step-by-step explanation:

THE ANSWER IS 200 , 30, Y=50+0.30X, Y=200+ 0.50X

The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

EXPLANATION

The equation given can be express as

y = 0.25x + 50

y = 0.30x + 40

Since, both equations are functions

Equate the two functions together

0.25x + 50 = 0.30x + 40

Collect the like terms

0.25x - 0.30x = 40 - 50

x(0.25 - 0.30) =-10

x(-0.5) = -10

-0.5x = -10

Divide both sides by -0.5

-0.5x / -0.5 = -10/-0.5

x = 10/0.5

x = 20

When collecting the like terms, we isolate values with the same variables from values with a different variables.

If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign.

Hence, The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

complete question:

Y=0.25x +50=0.30x+ 40 how would I get x=20?

Fred went to his local zoo that featured 6 whale exhibits. If the zoo features 15 exhibits in total, then what percent of the zoo's exhibits feature whales.

Answers

Answer:40%

Step-by-step explanation:

Given

The zoo featured 6 whales exhibits

There are 15 exhibits in total

Percentage of Zoo's exhibits featuring whales

[tex]\Rightarrow \dfrac{6}{15}\times 100=40\%[/tex]

Can someone tell me the code for this
The DIget In The Tenths Place Is 8
The diget In The Hundreds Place Is 4
The diget In The Ones Place Is 9
The Diget In The Tens Place Is 3

Answers

Answer:

The code for that is 439.8

The fabric is $3 times the number of yards of fabric n. Which equation gives the total cost c of n yards of fabric

Answers

Answer:

C = 3n

Step-by-step explanation:

Given that,

The fabric is $3 times the number of yards of fabric n.

We need to find an equation that gives the total cost c of n yards of fabric.

It means, the total cost of n yards of fabric is given by :

C = 3n

Where

n is yards of fabric.

in the figure below, lines m and n are parallel. What is the value of x?

Answers

Answer:

x = 51

Step-by-step explanation:

It looks like alt int. angles (correct me if im wrong)

3x - 40 = 2x + 11

x = 51

what is the gcf (greatest common factor) of 9/45​

Answers

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

9

GCF of 9 and 45 is 9

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

HeLP ME Plewse I’m having trouble

Answers

Answer:

1. 324 cm

Step-by-step explanation:

2. 150 cm

Which phrase describes the algebraic expression 7/8y-3​

Answers

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

Step-by-step explanation:

answer isx2 + 3x + 2.

which theorem is correct

Answers

Answer:

The SSS theorem

Step-by-step explanation:

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross pay. The Medicare tax is 1.45% of gross pay.)
$218.79
$205.02
$177.32
$41.47​

Answers

$218.79 is the answer

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272

Answers

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

which is equivalent to the expression below?
8 (x + 4x)

A. -24x
B. 32x
C. 40x
D. -9x

Answers

8(x+4x)
=8x+32x
=40x
40x is ur answer

A rectangular sandbox is in the center of a larger rectangular back yard. The sand box
measures (x+6) feet long and 5x feet wide. The yard measures (6x+7) feet long and 8x
feet wide.
What is the area of the yard that is NOT apart of the sandbox?

Answers

Answer:

(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]

Thus,

Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)

                                = 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x

                                = (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].

- 6
x= -18
3
360
f(x) =
I= 36
C
4x + 73
X = -18,36
f(-18) =

Answers

Answer:

f(−18)=−8

khan academy

Juan saved $1,000 from his summer job cleaning pools. Which of these savings vehicles would work best for him if he doesn't need access to the money for a number of years AND wanted to earn the highest interest rate?

Answers

Options:

Regular savings account Money Market account Checking Account Certificate of Deposit

Answer:

Certificate of Deposit

Step-by-step explanation:

Required

Which of the given options has the highest interest rate

To do this, we have to list out the interest rates of each of the given accounts:

A regular savings account has the least interest rate which is around 0.04% APY.The interest rate on money market account is between 0.30% and 0.50% APY.The interest rate on checking account is between 0.06% and 0.09% APY.The interest rate on Certificate of Deposit is between 0.55% and 0.80% APY.

So, by comparison:

Juan will earn more if he uses Certificate of Deposit

1 point

Oceanside Bike Rental Shop charges a 13 dollar fixed fee plus 9 dollars an

hour for renting a bike. Carlos paid 58 dollars to rent a bike. How many

hours did he pay to have the bike checked out? *

Answers

Answer: 5 hours  

Step-by-step explanation:

Carl paid $58 dollars in total and this included the fixed dollar fee and the variable amount of $9.

To find the number of hours, first deduct the fixed component:

= 58 - 13

= $45

$45 was spent as a result of hourly fee. The number of hours is therefore:

= Total hourly cost/ Cost per hour

= 45 / 9

= 5 hours  

What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14? pls answer will mark you as brainiest

Answers

Answer:

y = -2x - 5

Step-by-step explanation:

First rewrite the second equation into y = mx + b format:

x - 2y = 14  

2y = x - 14

y = x/2 - 14/2 (Divide both sides by 2)

y = 1/2x - 7

A line perpendicular to another has the negative reciprocal slope

So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)

Plug in the points (-1, -3) for the x and y coordinates.

x (x coordinate) = -1

y (y coordinate) = -3

slope (m) = -2

-3 = -1(-2) + b

-3 = 2 + b

-3 - 2 = b

b = -5

The equation of the line is y = -2x - 5. Hope this helps! :)

Answer:

y = -2x - 5  or 2x + y = -5

Step-by-step explanation:

Let's find the slope of the given line.  

-2y = -x + 14

y = 1/2(x) -7

m = 1/2

The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2

Now use the point-slope form of a line

y + 3 = -2(x + 1)

y + 3 = -2x - 2

y = -2x - 5  or 2x + y = -5

What is the total surface area??

Answers

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Find the new amount if the original amount is 74 degrees and the percent of decrease is 3%. Round to the nearest tenth. Show all work. answer for a brainlist

pls hurry

Answers

Answer:

71.8

Step-by-step explanation:

74*0.97=71.78

Rounds up to 71.8

Please help. What is the answer?

Answers

Answer:

Choice number 3

Step-by-step explanation:

Because look at the length of 8 on one side and notice the other side is a little longer

Q19. Four positive whole numbers add up to 36
One of the numbers is a multiple of 7
The other three numbers are equal.
Work out the result when the four numbers are multiplied.

Answers

Answer:

Step-by-step explanation:

let the numbers be 7x,y,y,y.

7x+3y=36

3y=36-7x

[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]

numbers are 7×3,5,5,5

or 21,5,5,5

21×5×5×5=2625

uhm!!! i need help please

Answers

Answer:

5

Step-by-step explanation:

Triangle ABC has sides measuring 12 cm, 20 cm, and 28 cm. Which could be the side lengths of the dilated image A’B’C
O 30 cm, 50 cm, 70cm
O 20 cm, 30 cm, 42 cm
O 24 cm, 40 cm, 46 cm
O 6 cm, 12 cm, 14 cm

Answers

Answer:

Step-by-step explanation:

12:20:28 = 3:5:7

(30 cm):(50 cm):(70 cm) = 3:5:7

I NEED HEEEEEEELP-
But- People can you guys give me a straight answer? I'm tired and have a headache from all this. I need to make this assignment.
..........

Answers

Answer:

C= 93⁰, B= 64⁰, D= 23⁰

Step-by-step explanation:

180= (4x + 1) + (3x - 5) + x⁰

180= 4x+1 +3x-5 +x

180= 8x - 4

184= 8x

184/8= x

23=x

therefore

C= (4(23) +1)

C= 93

B= (3(23)-5)

B= 64

D= 23

93⁰+64⁰+23⁰=180⁰

Find the x-intercept and y- intercept from the following linear equation: -7x+4y=56

Answers

Answer:

-52/7

Step-by-step explanation:

Dont care just do it or check it

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