Barbara's sister is twice as old as Barbara. Barbara's sister is 7 years younger than Barbara's brother. If Barbara's brother is 21, which equation could be used to find Barbara's age (b)?

Barbara's Sister Is Twice As Old As Barbara. Barbara's Sister Is 7 Years Younger Than Barbara's Brother.

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

Let the age of Barbara sister = x years

And the age of Barbara's brother = y years

"Barbara's sister is 7 years younger than Barbara's brother"

x = y - 7

If y = 21,

x = 21 - 7 ------(1)

"Barbara's sister is twice old as Barbara"

x = 2b --------(2)

By substituting the value of x from equation (2) to equation (1),

2b = 21 - 7

2b + 7 = 21 + 7

2b + 7 = 21

Therefore, Option D will be the answer.


Related Questions

Please help! It’s my final test and I need to pass this class! I will give you brainliest!!

Given: Triangle ^ABC is an isosceles triangle where AC = BC.
m^C = (23x-4), m^A = (4x-1), and m2^B = (9x-31)

Solve for X

Explain your steps to anwser this question.

Answers

Answer:

As u know sum of all angles in a triangle is 180°

so here the soln goes

23x-4+4x-1+9x-31=180°

36x-31=180°

x=216/36

x=6

hope it helped!

Choose THE correct option. 25. Write the elements of the given set A A= { x|x is a square number less than 5}

1) 2

2) 4

3) 1​

Answers

Answer:

A = (1, 4)

Step-by-step explanation:

Given :

Square numbers include : 1² = 1 , 2² = 4 , 3² = 9 , 4² = 16 ,...

x|x square numbers less than 5

1² = 1

2² = 4

Therefore all square number less Than 5 are ; 1, 4

Hence,

Set A = (1, 4) where, x|x square numbers less than 5

A = (1, 4)

???????????.............

Answers

Answer:

Sorry but I can't read the image

Step-by-step explanation:

Pls help what do I put

Answers

Answer:

m+m×0.15

because it increased by 15%

you get m's 15% if you multiply it with 0.15

Tamisha ordered 4 pepperoni pizzas and 2 sausage pizzas for $60.50. Megan ordered 2 pepperoni pizzas and 3 sausage pizzas for $48.75. Find the cost of each.

Answers

Answer: Look at picture

Tell whether the triangles
are similar.
Yes or No

Answers

Answer: yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

107 minus 39 is equal to 146. 180 (total degrees for triangles) minus 146 is 34. The triangles are equal

If the cost of renting a house is given as C(x) = 25x + 350, where is the number of years. What is the total money paid in 4 years?

Answers

Answer:

450

Step-by-step explanation:

plug 4 into x

25(4) + 350

select all of the solutions to the system graphed below.​

Answers

0,-2

4,4

2,0

3,5

Step-by-step explanation:

that was my answer

A trapezoid has an area of 200 square inches

The larger base is 14 in and the height is 16 in find the smaller base of the trapezoid.

A. 11in²
B. 11in
C. 12.5in
D. 12.5in²​

Answers

Answer:

B 11in

Step-by-step explanation:

Area of trapezoid is

[tex] \frac{1}{2} (h)(b _1 + b_2)[/tex]

I don’t know if this is correct. Someone please help me !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

If it was Figure M to Figure L it would be right 8 and up 7

and if it was from Figure L to Figure M it would be left 8 and down 7

+++++++++++

+Answer:

Step-by-step explanation:

Go from L to M

You need only look at one point and follow it. On figure L, I've chosen (7,1)

Now think of the number of things that are true of this point.

It is the left most point of the figure.

It is on the end of a horizontal line.

Now where is that point on M

It is still the left most point.

It is still on the horizontal line at the end.

It's position is (-6, - 1)

So you are moving from (7,1) to (-6,-1)

This tells you that you are moving left 13 units

and down 2 units.

The problem is that the x axis looks like it is vertical and the y axis looks horizontal.

Who invented algebra

Answers

Answer: Some assface who needs to commit toaster bath.

Step-by-step explanation: (the answer is actually Al-Khwarizmi)

Makayla has $740 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $465.34.
She buys 4 bicycle reflectors for $13.25 each and a pair of bike gloves for $18.12.
She plans to spend some or all of the money she has left to buy new biking outfits for $25.69 each.

What is the greatest number of outfits Makayla can buy with the money that's left over?

Answers

She can buy about 7 outfits.

Number of biking outfit Makayla buy is 7

Given:

Total amount spend by Makayla = $740

Cost of bicycle = $465.34

Cost of 4 bicycle reflectors = $13.25(each)

Cost of pair gloves = $18.12

Cost of each biking outfit = $25.69 each

Find:

Number of biking outfit Makayla buy

Computation:

Assume;

Number of biking outfit Makayla buy = a

Total cost = Cost of bicycle + Total Cost of 4 bicycle reflectors + Cost of pair gloves + Total cost of biking outfit

465.34 + 4(13.25) + 18.12 + a(25.69) = 740

465.34 + 53 + 18.12 + a(25.69) = 740

536.46 + a(25.69) = 740

a(25.69) = 740 - 536.46

a(25.69) = 203.54

a = 7.9229

Rounding number to less

So.

Number of biking outfit Makayla buy = 7 (Approx.)

learn more;

https://brainly.com/question/15012403?referrer=searchResults

Colin, Sara and Gordon share some sweets in the ratio 4:3:3. Colin gets 48 sweets. How many
did Gordon get?

Answers

Answer:

36

Step-by-step explanation:

So to find the answer we know that the ratio is 4:3:3 if colin gets 48 the ration will be 48:?:?

We have to find the ?

to find the ? we need to divide 48 with 4 and we get 12

now we know that it is 12 we have to multiply all of it with 12 to find Gordon and Sara

So 3 x 12 = 36

So the new Ratio is 48:36:36

Gardon is at the end and the number at the end is 36

So we now know the answer

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

36

Step-by-step explanation:

Colin : Sara : Gordon = 4 :  3: 3

Colin's share = 4x

Sara's share  = 3x

Gordon's share = 3x

Colin's share = 48

              4x =  48      {Divide both sides by 4}

                x = 48/4

               x = 12

Gordon's share = 3x = 3*12 = 36

What does the pattern of values tell you about how the data are related?

Madeline studies more after earning a low test score.

There is a negative association between hours studied and test score.

There is no association between hours studied and test score.

There is a positive association between hours studied and test score.

Answers

Answer:

D. A positive association between hours studied and test score.

Step-by-step explanation:

The scatter plot appears to have an upward trend.

Consider the expression 40 + 24. Find the greatest common factor of the two numbers, and rewrite the expression using distributive property.

Answers

Answer:

40 + 24 = 8(5 + 3)

Step-by-step explanation:

Consider the expression 40 + 24. Find the greatest common factor of the two numbers, and rewrite the expression using distributive property

Step 1

We find the GCF

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 8.

Step 2

Rewriting the expression using distributive property.

The factors of 40 and 24 that would give us the sum of 8 is given as 5 and 3

Therefore, using Distributive property

40 + 24 = 8(5 + 3)

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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo

Answers

Answer:

$183.75

Step-by-step explanation:

divide by 12 (hours)

147/12=12.25

multiply by 15 (hours)

12.25*15=183.75

Hope this helps! :)

PLSSS HELPPP MEE I WILL GIVE BRAINLIEST OR A LOT OF POINTS

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c is your answer hope it helps you

Help me please just need this last one and I’ll be done please help me if you can

Answers

Answer:

58°

Step-by-step explanation:

Start with the equation 2x + 2 + 90 = 148

( I got the 90 from Angle B since it is a right angle.)

Combine like terms 2x + 92 = 148

( 90 and 2 didn't have variables so you could add them together.)

Subtract 92 from both sides 2x + 92 = 148

                                                      -92   -92

(The opposite of addition is subtraction.)

Now write out the new equation 2x = 56

Divide both sides by 2 [tex]\frac{2x}{2}[/tex] = [tex]\frac{56}{2}[/tex]

You'll end up with... x = 28

To find the measure of angle BAC, plug in 28 where the x value is 2(28) + 2

This gives you the answer 58°

help pls thankssssssss

Answers

c
If the question says perpendicular you should flip the number and change negative to positive. So 1/2
1/2 x -4 = -2
-2 - 2 = -4

Pretty easy problem just stuck please help

Answers

Answer:

<4 is 102 and <1 and <3 are both 78

Step-by-step explanation:

<4: 102 because it is vertical to <2, and all vertical angles are congruent

<1: 78 angle 1 is adjacent to angle 2, meaning that they share a side. Because of this they are a linear pair, so they add up to 180. 180-102

<3:Using the vertical angles theorem, we can say that <1=<3 as they are vertical angles.

Answer:

1 = 78 degrees

3 = 102 degrees

4 = 78 degrees

Step-by-step explanation:

All of the angles are supplementary which means two of the angles add up to 180 degress

Angle 2 = 102

To find angle 1, just subtract 102 from 180

180 - 102 = 78

Angle 4: 180 - 78 = 102

Angle 3 = 180 - 120 = 78

The parallelograms have a combined area of 3 1/7 square yards. The height of each parallelogram is 1 2/7 yards. How long is the base of each parallelogram? What is the area of the smallest rectangle of wall that the mirror could fit on?

Answers

Answer:

a) How long is the base of each parallelogram?

1 2/9 yards.

b) What is the area of the smallest rectangle of wall that the mirror could fit on?

3 Square yards

Step-by-step explanation:

The parallelograms have a combined area of 3 1/7 square yards. The height of each parallelogram is 1 2/7 yards.

Step 1

We find the area of each of the parallelogram

This is calculated as:

Combined area of the parallelograms ÷ 2

= 3 1/7 square yards ÷ 2

= 22/7 square yards ÷ 2

= 22/7 square yards × 1/2

= 11/7 square yards

= 1 4/7 square yards.

Step 2

How long is the base of each parallelogram?

The height of each parallelogram is 1 2/7 yards.

Area of parallelogram = Base × Height

Base of each parallelogram = Area of each parallelogram/Height of each parallelogram

= 1 4/7 square yards ÷ 1 2/7 yards

= 11/7 square yards ÷ 9/7 yards

= 11/7 square yards × 7/9 yards

= 11/9 yards

= 1 2/9 yards.

Step 3

What is the area of the smallest rectangle of wall that the mirror could fit on?

Area of a rectangle = Length × Width

Length =(Base of parallelogram × 2)

Width = Base of parallelogram = 1 2/9 yards = 11/9 yards

Length = 1 2/9 yards × 2

= 11/9 × 2 = 22/9 yards

Area of rectangle = 11/9 × 22/9

= 242/81 square yards

= 2.987654321 square yards

Approximately = 3 Square yards

Please help me with 6-7 / 10 points

Answers

Answer:

6) Axis of symmetry x=1. Vertex at (5,1)

7) Axis of symmetry x=1. Vertex at (1,2). y-intercept at y = -1

Step-by-step explanation:

There is an equation to find the axis of symmetry of a quadratic function and is given by:

Knowing that the standard form of a quadratic equation is:

[tex]y=ax^{2}+bx+c[/tex]

The axis of symmetry is:

[tex]x=\frac{-b}{2a}[/tex] (1)

(6)

The quadratic equation of the first problem is:

[tex]y=2x^{2}-4x+7[/tex]

Then, using equation (1) the axis of symmetry will be:

[tex]x=\frac{-(-4)}{2(2)}[/tex]

[tex]x=\frac{4)}{4}[/tex]

[tex]x=1[/tex]      

We need to use this value of x to find the vertex;

[tex]y(1)=2(1)^{2}-4(1)+7[/tex]

[tex]y(1)=5[/tex]

The vertex is (5,1)

Therefore, we disagree with Ahmed. The axis of symmetry is x = 1 and the vertex is in the point (5,1).

(7)

We can use the same method here. The function is:

[tex]f(x)=-3x^{2}+6x-1[/tex]

The axis of symmetry is:

[tex]x=\frac{-6}{2(-3)}[/tex]

[tex]x=1[/tex]

The vertex is:

[tex]f(1)=-3(1)^{2}+6(1)-1[/tex]

[tex]f(1)=2[/tex]

So the vertex is (1,2)

We need to evaluate the function at x = 0 to get the y-intercept value.

[tex]f(0)=-3(0)^{2}+6(0)-1[/tex]

[tex]f(0)=-1[/tex]

Therefore, the y-intercept is at y = -1.

I hope it helps you!

Simplify the expression below

Answers

Answer:

− 4 x + 20

Step-by-step explanation:

fill in the five blanks on the function table​

Answers

-2 | 19
0 | 15
1 | 16
3 | 24
7 | 64

The rational and the irrational numbers together are called whole numbers. true or false

Answers

the answer is false

Step-by-step explanation:

natural numbers and zero are whole numbers

The answer is false

Help I give you a cookie;)

Answers

Answer:

Step-by-step explanation:

assuming the two angles are supplementary, add them together to equal 180.

0.19x+57+0.06x+36=180

combine like terms

0.25x+93=180

subtract 93 from both sides

0.25=87

divide both sides by 0.25

x=348

ABD is 123.12 degrees

CBD is 56.88 degrees

im here again. THANK YOU SM (Crxxom) for helping me. you'll make me pass 7th grade!

Answers

Answer:

D

Step-by-step explanation:

10/2 + 5.2/2 = 7.6

Answer:

7.6cm

Step-by-step explanation:

Let's see - the midpoint of AB lies 10cm/2 from B and the midpoint of BC lies 5.2cm/2 from B in the other direction.

We can conclude that the midpoints are distant by

10cm/2 + 5.2cm/2 = 5cm + 2.6cm = 7.6cm

Which inequality does this number line represent?

Answers

I think ur right because it’s -2 and positive n and it starts at negative 2 and has n as a positive. I'm not good at math but hope we are right lol.

Answer: n> or = -2

Step-by-step explanation:

Please help.
Is algebra.

Answers

Answer:

i believe

the first one it's (0,3)

the second is (4, -7)

answer the following

Answers

Answer:

Step-by-step explanation:

61)4 + 5(p-1) = 34     {Distributive property}

    4 + 5p - 5 = 34   {Add like terms}

         5p - 1   = 34     {Add 1 to  both sides}

             5p  = 34+1

              5p = 35  {Divide both sides by 5)

                p  = 35/5

               p = 5

62)    Smaller angle = x

Larger angle = x +50

x + (x +50) = 180       {Supplementary angles}

 2x + 50   = 180  {Subtract 50 from both sides}

          2x  = 180 -50

            2x = 130

              x = 130/2

            x = 65

Smaller angle = 65

Larger angle = 65 + 50 = 115

63) ΔBAD , ΔBCD

BA ≅ BC

∠A ≅ ∠C

AD ≅ CD

ΔBAD ≅ΔBCD        {S A S congruent}

64) Selling price = ₹ 5500

Profit = 10%

[tex]Cost price = \frac{100}{100+profit}*SP\\\\= \frac{100}{100+10}*5500\\\\=\frac{100}{110}*5500\\\\=100*50\\\\=5000=[/tex]

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