Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?

PLEASE TELL HOW YOU GOT THE ANSWER!!

Answers

Answer 1

Answer:

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x  and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35


Related Questions

sashi weaves 25 baskets in 35 days how many days will it take for her to weave 110 baskets pls tell with steps

Answers

Answer:

Step-by-step explanation:

If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.

25 baskets = 35 days

To find how long one basket takes, divide 35 by 25

1 basket = 35/25 = 1.4 days

Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.

110 baskets = 1.4 times 110 = 154 days.

Pls help ASAP!
Consider this linear function:
Y= 1/2x + 1
Plot all ordered pairs for the values in the domain.
D: { -8,-4,0,2,6}

Answers

so for these type of equations your domain is your x. so you will use substitution to find your y value.
y=1/2x+1, so for this one we will replace x with -8. so y=1/2(-8)+1= -4+1=-3
so the first set of coordinates with be (-8,-3)

Luke solves this problem. He says that the difference is 416. 864 − 458 ________ Complete the explanation of the mistake Luke made. Luke regrouped 6 tens 4 ones as ? ten(s) 14 ones. He should have regrouped 6 tens 4 ones as ? ten(s) 14 ones. What is the correct difference? The correct difference is ___ .

Answers

Answer:

Luke regrouped 6 tens 4 ones as 6 tens 14 ones

He should have regrouped 6 tens 4 ones as 5 tens 14 ones

The correct difference is 406.

Step-by-step explanation:

First, we will complete the explanation,

For the difference,864 − 458, Luke got 416;

The explanation of the mistake Luke made is

Luke regrouped 6 tens 4 ones as 6 tens 14 ones

Such that, the difference of the ones (14 - 8) gives him 6 ones,

difference of the tens (6 - 5) gives him 1 ten

and difference of the hundreds ( 8 - 4) gives him 4 hundreds

Hence, his answer 416.

He should have regrouped 6 tens 4 ones as 5 tens 14 ones

So that, the difference of the ones (14 - 8) will give him 6 ones,

difference of the tens (5 - 5) will give him 0 ten

and difference of the hundreds (8 - 4) will give him 4 hundreds

Hence, he would have gotten 406.

The correct difference is 406.

HI HELP ME PLEASEEE!’

Answers

We're given

(0, 144)

(1, 48)

(2, 16)

(3, 16/3)

[tex]f(x) = a*b^x\\144 = a*b^0\\144 = a\\[/tex]

now that we know a, we can find b

[tex]f(x) = 144*b^x\\48 = 144*b\\b = \frac{48}{144}\\b = \frac{1}{3}[/tex]

[tex]f(x) = 144*(\frac{1}{3})^x[/tex]

If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)

Answers

Answer:

just took the test and it's D on edge

Step-by-step explanation:

The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D

Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.


Since the root of the equation is given 5,  4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.


Implies (x - 5) and (x - (4-13i))


(x - 5) and  (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.

Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .

Learn more about polynomial function here:

https://brainly.com/question/12976257

#SPJ6

(a+b) to the power of two a= -3 and b= 6.

Answers

Answer:

9

Step-by-step explanation:

-3+6 is 3

3*3 is 9

solve for t. 79t=14 write your answer here

Answers

Answer: im pretty sure its 14 divided by 79 soo 0.17?

if not im sorry

use your brain tho:)

hope this helps you

Two negative consecutive integers have a sum of -39. What are the
integers?

Answers

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

27x + 18y + 30 Lol pls help I’m gonna fail

Answers

Answer:

[tex]=27x + 18y + 30[/tex] fr it's the real answer

Step-by-step explanation:

hope it helps u won't fail(maybe)

leave a like

and if u can mark brainliest

What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.

Answers

Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

a=x+y/2 Solve for y
I need this ASAP, please

Answers

Answer:

2A=

Step-by-step explanation:

Being in the same denominator makes the task much simpler.

Explanation:

A

=

X

+

Y

2

Simplify using the property

a

b

=

m

n

a

×

n

=

b

×

m

2

A

=

X

+

Y

2

A

X

=

Y

Hopefully this helps!

Answer:

the answer is y = 2a - 2x

Step-by-step explanation:

That's what I get when I solve for y

Is the airplane’s altitude a function of time?

Answers

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

Select the smallest fraction from the following list of fractions.
2/3
1/4
1/10
5 1/12
3/8
2 1/2

Answers

Answer:

1/10

Step-by-step explanation:

it’s 1/10

we know because the fractions with whole numbers are obviously too big to be the smallest so we are left with 4 options,
2/3 cannot be the smallest because it is only one away from being whole, 3/8 is not the smallest because it’s only 5 away from being whole, and 1/4 is not the smallest cause it’s only 3 away from being whole. 1/10 in 9 away from being whole making it the smallest!

Nestor works at a garden center where he posts plants. It takes him 2 1/2 hours to pot 15 plants. How many plants can Nestor pot in 1 hour? * how many plants can he pot in 1 hour?

Answers

Answer:

Nestor can pot 6 plants in 1 hour.

Step-by-step explanation:

first lets convert 2 1/2 hours in mixed fraction form for better calculation

2 1/2 hours = (2*2 + 1)/2 = 5/2 hours

no of plants pot in  5/2 hours = 15

to find no. of plants pot in 1 hours lets

divide both side by 5/2

no of plants pot in  5/2/(5/2)  hours = 15/(5/2) = 15*2/5 = 6

no. of plants pot in 1 hour = 6

Thus, Nestor can pot 6 plants in 1 hour.

true or false? the opposite and adjacent sides stay the same no matter which angle you are looking at.

Answers

Answer:

true

Step-by-step explanation:

Pls help me!!!!!!!!!!!

Answers

Answer:

1) y-4+1(x-5)

Step-by-step explanation:

With point-slope form, you just have to substitue the information that is given to you into the generic formula.

y-y1= m(x-x1)

so the y1 is the y value of the point that is given to you and x1 is the x value of the point that is given to you

m is the slope (also given)

and x and y just stay the same; x &y

HELP. What are the coordinates of -2.5, 2.5 when rotated 180 degrees

Answers

i think it would just be 2.5, -2.5, just flipping them?

Convert 400 U.S. dollars to pesos if 1 peso is 1.208 U.S, dollars

Answers

Answer:

483.24

Step-by-step explanation:

14. Craig jogs 12 km in 1 h. If he jogs at the
same rate, how long will it take him to jog
18 km?

Answers

Answer: 1:30 (one hour and thirty minutes)

Step-by-step explanation:

If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.

Answer:

1.5 hours

Step-by-step explanation:

12/1 = 18/x

X = 18/12 = 1.5 hours

You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which inequality below would represent how many pears you can still pick, p?

p − 14 ≤ 50

p + 14 ≥ 50

p − 14 ≥ 50

p + 14 ≤ 50

Answers

Answer:

p + 14 ≤ 50

Step-by-step explanation:

what you pick, p , plus the 14 you have, must be less than the 50 allowed.

Answer:

p + 14 ≤ 50

Step-by-step explanation:

Since you have already picked 14, you can pick p more. The sum of what you have already picked and what you will pick has to be 50 or less.

not really an academic subject lol just a stoopid inquiry
.
.
does anyone else stay up super late even if they're tired? like you haven't "completed" your day yet. just me?... TT_TT pls help

(my sleep schedule is very messed up) :,)

Answers

Answer:

Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol

Step-by-step explanation:

Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7

Answers

Answer:

a.   y = -2x + 7

b.   y = -⅔x + 4

c.   y = ⅔x - 7/6

Plz mark brainliest:)

calculate the distance travelled by a bus in 2 hrs which moves with a velocity of 22 m/s


Answers

Answer:

158400 meters

Step-by-step explanation:

multiply 3600 by 22 then multiply by 2

Question 5
(-8,000,000)° is 1.
True
O False

Answers

the answer would be false

need it by 10 please .

Answers

Answer:thats tuff

Step-by-step explanation:

Study, thank you for tuning in my Ted talk.

wich expression is equivelint-3/4 divided by -8/12

Answers

Answer:

-1 1/8

Step-by-step explanation:

-3/4 / -8/12

= -3/4 * -12/8

= -3*12 / -4*8

= -36/32

= -1 4/32

= -1 1/8

Approximate the value of each irrational expression. Use 22/7 as a rational approximation for pi.
2pi
5pi + 1
Pi to the second power

Answers

Answer:

pi=22/7

2pi=44/7

5pi+1=110/7+1=117/7

pi to the second power=22/7 times 22/7=484/49

Hope this helps, but I don't know.

Answer:

hi

Step-by-step explanation:

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answers

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

Please I need some answers

Answers

Answer:

[tex]\sqrt{169}[/tex] = 13

[tex]\sqrt{36}[/tex] = 6

[tex]\sqrt{196}[/tex] = 14

Step-by-step explanation:

answer:

a) [tex]\sqrt{169}=13[/tex]

b) [tex]\sqrt{36}=6[/tex]

c) [tex]\sqrt{196}=14[/tex]

hope this helps :)  

-audrey <3

Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is ​

Answers

Given:

Four years ago average age of A , B & C was 25 years.

Find:

A's present age

Solution:

Let the ages of A , B , C be A , B , C years.

Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

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