Melissa is 13 years old. Becky is 12 years old. Daniel is 10 years old. Melissa, Becky and Daniel share £42 in the ratio of their ages. Becky decided to save a third of her share. How much will Becky have to spend?

Answers

Answer 1

Answer: Becky will have to spend £ 9.6 .

Step-by-step explanation:

The ratio of their ages will be:

Melissa : Becky : Daniel = 13 : 12 : 10

Total amount share = £42

Share of Becky = [tex]\dfrac{12}{12+13+10}\times42[/tex]

[tex]=\dfrac{12}{35}\times42\\\\= 14.4[/tex]

Hence, Becky's share = £14.4

Becky decided to save a third of her share.

Then, Amount she spend = [tex]14.4-\dfrac13 \times 14.4[/tex]

[tex]=14.4-4.8\\=9.6[/tex]

hence, Becky will have to spend £ 9.6 .


Related Questions

Which of the following shows two congruent triangles

Answers

Answer:

all of them

Step-by-step explanation:

all of them seem to have the same marks

but if u get the question wrong my next bet would be to go with only C because it has the marks on the sides if that makes sense

you will have amazing luck if you help me out trust

Answers

Answer:

x=29

Step-by-step explanation:

5x+30=175 because they are congruent

5x=145

x=29

Help me please thanks

Answers

Answer:

y=x+4

Step-by-step explanation:

Slope intercept is y= mx+b

The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).

The y intercept is 4 since it hits the y axis at 4.

so it would be y= 1x+4 which is y=x+4

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?

Answers

Answer:

37.7

Step-by-step explanation:

C = 2 pi r

C= πd

12× 22/7

= 264/7

= 37.71cm

Solve for x
4^x/9^x=½

Answers

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x     logₐx = n

log₂.₂₅2 = x

x = 0.85476

PLEASE HELP!!!! ❗❗❗❗❗❗❗
I NEED THE ANSWER TO THIS ASAP!!! PLS HELP!!! question below ;-;

the track team is trying to reduce their time for a relay race. First they reduced their time by 2.1 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.96 minutes, what was their beginning time? Show or explain your reasoning.

Answers

Answer:

6.27 minutes

Step-by-step explanation:

3.96+2.1=6.06

1/10=0.1x2.1=0.21+6.06=6.27

i gicveeeeee brainlilstttt

Answers

Answer: (-2,6)

Step-by-step explanation:

Hope this helps ;)

Helpppppppppppppppppppppp

Answers

Answer:

16

Step-by-step explanation:

y=2x

2*2=4

3*2=6

6*2=12

8*2=16

Answer:

16

Step-by-step explanation:

y=2x

2*2=4

3*2=6

6*2=12

8*2=16

Hope this helps :)

2x2 + 8x - 7 = 0
How to solve

Answers

x =(8-√120)/4=2-1/2√ 30 = -0.739

Step-by-step explanation: calculator

Answer:

2 x 2 +8x -7= 0

4+8x-7=0

-3+8x=0

8x=0+3

8x/8=3/8

x=3/8

x=0.375

Step-by-step explanation:

1.Multiply 2x2 to get 4

2.Calculate the difference between 4-7

3.Move the constant to the right side

4.Divide both sides of the equation by 8

How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction

Answers

Answer:

52-40

Step-by-step explanation:

distribute 4 to 13 and 10

put the subtraction sign back in


The ratio using a colon is

Answers

a ratio?

What numbers a provided

can someone help me out?

Answers

First you have to solve for x. X=32.
5*32-12=148
148=(3y-8).
y=52

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

each ballon costs: ?
each banner costs: ?

Answers

Answer:

each balloon costs 1$ and each banner costs 3$

Step-by-step explanation:

The costs of each balloon and banner are $1 and $3 respectively.

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

Let x represents balloons and y represents banners.

Establishing the equations,

x+y = 4

x = 4 - y......(i)

3x + 2y = 9...(ii)

Put eq(i) in eq(ii)

3(4 - y) + 2y = 9

12 - 3y + 2y = 9

y = 3

Put y = 3 in eq(i)

x = 4-3

x = 1

Hence, the costs of each balloon and banner are $1 and $3 respectively.

Learn more about systems of the equations, click;

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How do you multiply monomials with the same base?​

Answers

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

Example

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5

PLEASE ANSWER ASASP!
4(c -3) = 8
what is c?

Answers

Answer:

c=5

hope it helps....,

Answer: c=5

Step-by-step explanation:

4(c -3) = 8

4c - 12 =8

4c = 20

c = 5

does someone know the correct answer?

Answers

Answer:

C

Step-by-step explanation:

The correct answer is Letter c

Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?​

Answers

Answer:

8.25 minutes

Step-by-step explanation:

31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles

5-4x=23
What's the value of x and please show your work. ​

Answers

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

5-4x=23 |-5

5-4x-5=23-5

-4x=18 |*(-1)

4x=18 | /2

2x=9 |/2

x=9/2 or 4.5

Answer:

x = 4.5

Step-by-step explanation:

Subtract 5 from BOTH sides to start with:

5-5 = 0 (5 cancels out on left side) 23-5 = 18

New Equation: -4x = 18

Divide BOTH sides by -4

4 cancels out (x is left) 18/4 = 4.5

New: x = 4.5

pls help !! - Using the graph below, what is the rule for a translation form point A to point D?

Answers

The answer is b trust me I got this one right

Answer:

B

Step-by-step explanation: i took the test on docs/forms

error
question not used

Answers

Erroripairedwithmymomohno.exe has stopped working.

Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.

Work out Ted's total pay for last week.​

Answers

118.50 cents if I’m correct

Answer:

The answer is 122.45

Step-by-step explanation:

So basically we know that he worked 15 and 1/2 hours

He gets paid £7.90 for every hour he works

7.90  × 15 = 118.5

Then you do half of £7.90 which is £3.95 because he worked 1/2 hours half of 60 minutes is 30 minutes that why you half £7.90.

You add 118.5 + 3.95 = £122.45

and that your answer

Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin

Answers

Answer:

a

Step-by-step explanation:

hope this help mark me brainlist plz

The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

The sequence of transformations takes A to its image A'.

Now, We have;

The coordinate of A are (4, 5)

And, The coordinate of A' are (4, - 4)

Hence, The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

Learn more about the transformation visit:

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Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?

Answers

Answer:

12

Step-by-step explanation:

a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade ​

Answers

Answer:

1/4

Step-by-step explanation:

the probability  of selecting a spade: 14/52 = 1/4

The slope of the line below is -1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.

Answers

Answer:

D

Step-by-step explanation:

It’s d

All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there

Answers

Answer:

61 cabins

Step-by-step explanation:

Since Jim skipped 15 cabins and ended up sitting in cabin 2 that means he finished the number of cabins available and passed it by 2 cabins. Meaning that if we subtract 2 cabins from the 15 he skipped that would mean that from where Jack is sitting there are only 13 more cabins available. Now we simply add the 13 cabins to the number of cabins that Jack is sitting in to calculate the total number of cabins.

48 + 13 = 61

Step-by-step explanation:

62 cabins. Jack is skipping the next 15 cabins, so, in reality, you are adding 14 to 48.

5/6 / 1/3 equals what ​

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

[tex]\frac{a}{b}[/tex]

[tex]\frac{c}{d}[/tex]

The division:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]

can be done by multiplying by the reciprocal of the denominator:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are given the fractions 5/6 and 1/3. Their division is:

[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]

Simplifying:

[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]

Answer: [tex]\mathbf{\frac{5}{2}}[/tex]

Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are
$11 each, and the shorts were $9 each. If Jiyoung bought 5 shirts, how many shorts did she buy?

Answers

its 3 shorts

Step-by-step explanation:

11×5= 55 82-55= 27 27÷9= 3

Answer:

Step-by-step explanation:

Given this information, we can set up an equation

[tex]11x + 9y = 82[/tex], where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5

[tex]11 (5) + 9y = 82[/tex]   Now, we have to find for y.

Step 1. Simplify

[tex]55+9y=82[/tex]

Step 2. Subtract 55 from both sides

[tex]55-55+9y=82-55\\9y=27[/tex]

Step 3. Divide both sides by 9

[tex]\frac{9y}{9}=\frac{27}{9}\\y=3[/tex]

If y = 3, this means that Jiyoung bought 3 shorts.

1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer

Answers

Answer:

8%

Step-by-step explanation:

Original Price = 75 cents  New Price = 81 cents, % increase = ?

% increase = 81 - 75/75 × 100%

% increase = 6/75 × 100%

% increase = 8% ( Ans)

please give correct answer <3 :(

Answers

Answer:

216g^3

Step-by-step explanation:

6g^3 g^3

6g^3 = 6g * 6g * 6g = 216g^3

Answer:

[tex]216g^{3}[/tex]

Step-by-step explanation:

6^3 x g^3=

6^3=216

216g^3

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