Mathematics High School

The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?

A. 12
B. 21
C. 9
D. 3
E. 15​

Answers

Answer 1

D.

Explanation

because the number have 3

Answer 2

Step-by-step explanation:

A+B+C = 30

A = 4C

B = A+3

=> 4C+4C+3+C = 30

9C + 3 = 30

9C = 30-3

9C = 27

C = 3

Therefore, the age of Cindy is 3 years old

(option D)

Related Questions

-6 divided by 8? How do you turn it into a fraction problem?

Answers

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

classify the equation as having one solution no solution or infinite solution

4(9x+6)=36x-7 And the solution is x=

Answers

Answer:

[tex]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution

Find the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

Answers

4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

Given g(x)=-x+3g(x)=−x+3, find g(1)

Answers

Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

guys pls help me!!!!!!

Answers

Answer: 100

Step-by-step explanation:

A line equals 180 so subtract 180-80 to get your answer.

Which of the following equation represents the graph?

Answers

Answer:

y= -3/5x -3

Step-by-step explanation:

Shylan's vegetable garden is florishing. She has
20 plants in her garden which are broken into
equal rows. 1/5 of the rows are cucumbers and
40% of the rows are squash. 1/2 of the
remaining rows are tomatoes. How many
pepper plants does she have?

Answers

Answer: 90millionhajk

Step-by-step explanation:

8TH GRADE MATH PLEASE HELP!!​

Answers

Answer:

C.

Step-by-step explanation:

\sqrt{35} = 5.916079783

Its the Closest one

Answer:

C is the correct answer

[tex] \sqrt{35 } = 5.91 \\ [/tex]

Please help me solve this ASAP please!

Answers

(x + 9)/2 = 3x

 

Multiply both sides by 2 since the left is divided by 2.

 

x + 9 = 6x

     9 = 5x

      x = 9/5 or 1 4/5

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1​]

Answers

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)

Answers

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 6

2.

4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

→ [tex]\sf 8x-6+4x[/tex]

Combine like terms:

→ [tex]\sf (8x+4x)[/tex]

[tex]\sf 12x[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

→[tex]\sf (4x+(-6x))[/tex]

[tex]\sf -2x[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\sf 17[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?

Answers

Answer:

$175.07 will be taken off

Step-by-step explanation:

287x61/100

17507/100

175.07

Please solve this law of indices question
and don't give studip ans
i will mark as brainlisted ​

Answers

Answer:

hope you understand .............


What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 5x -1

............

Solve the math problem

Answers

x+50+70+4x=180

combine like terms

50+70=120

subtract 120 by both sides

x+4x=60

combine like terms

5x=60

divide by 5

x=12

4x12=48

B=48

12+50=62

48+62=110

110+70=180

x=12

A=62

B=48

1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?

Answers

0.8(2) = 1.6
1.6 + .2 = 1.8

I wish it would specify more on if it’s cents or dollars, but the answer should be 1.8 if you did it this way
18 cents
8x2=16+2=18
But do check with your own study as well

10+10= hhihihhhiihihihih

Answers

Answer:

10+10=1010

Step-by-step explanation:

brainliest?

Answer:

20 lol

And hi!

What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3 ? (1 point);

Answers

Answer:

pic is answer

Step-by-step explanation:

PLEASE HELP IT’S DUR TMR

Answers

Answer:

10+10+10

Step-by-step explanation:

How do i solve this table?

Answers

man im sorry because its hard to explain

Yes it’s a function

It’s a function because each input (the x) only has 1 output (the y)

An example where it wouldn’t be a function is a table like this:
1 | 4
1 | 5
2 | 7
3 | 12
4 | 19
Because 1 maps both to 4 and 5 so it’s not a function. But in your original table, it’s fine so it’s a function.

WILL GIVE BRAINLIEST
questions 35-45 odd
please show work

Answers

Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.

if i had 475 connolies and got left with 24 and i sold them for 2.50 how much money did i make.​

Answers

1127.50 money

475-24=451
451 times 2.5

what would be the answer to this problem [tex]\frac{7x-3}{9} \geq 8-2x[/tex]

Answers

Answer:

[tex]x\geq 3[/tex]

Step-by-step explanation:

A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?

Answers

Answer:

$2.25

Step-by-step explanation:

5 lbs = $11.25

The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:

$11.25 ÷ 5 = $2.25

Hope this helps!

Answer:

2.25 ($) per pound

Step-by-step explanation:                                                                               11.25 /  5 = 2.25 per pound   Alternative workings we simply divide by 10  to find   11.25 / 10  = 1.125 then multiply by 2                                                      1.125 * 2  = 2.25 ($) per pound

help a friend out?

Solve and graph the absolute value inequality: 12x +41 > 8.​

Answers

Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

H
13. Stretch Your Thinking Jenny and George combined their
allowances to buy the same present for each of their four
teachers. Jenny had $13.75. George had $2.26 less than
Jenny. How much did one present cost?

Answers

Answer: One present cost 6 dollars and 31 cents.

Step-by-step explanation:

Ok so first you subtract 2.26 from 13.75 to find out the total that George has.

That would be 11.49.

Next you add them together because they combine allowances.

So thats 25.24.

Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.

This would be 6.31

You leave the decimals because your talking about money.

Hopefully this helps. Have a wonderful day. :)

Marking me brainly really helps if you found my answer helpful!

What is 21,678 rounded to the nearest ten

Answers

Answer:

21,678 rounded to the nearest ten is 21,680

[tex]\sf 15=2m-9[/tex]

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of m is equal to :

[tex]12[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

➢ 15 = 2m - 9

➢ 15 + 9 = 2m

➢ 2m = 24

➢ m = 24 ÷ 2

➢ m = 12

[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]

The answer is 12 have a good day

The slope and y intercept

Answers

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

In the diagram, a || band b || c. Find the values of a
12x + 610
106°
The values of u are and

Answers

2x+6=106
2x=100
x=50

12x+610=106
12x= −504
x= -42
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