Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?

(Im really sorry I just don't understand ratio.)

Answers

Answer 1

Answer:

✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]

☪ [tex] \underline{ \sf{Solution}} : [/tex]

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , [tex] \text{5x +2x = 21}[/tex]

Solve for x :

⇝ [tex] \sf{7x = 21}[/tex]

⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

⇝ [tex] \sf{x = 3}[/tex]

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

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Related Questions

Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0

Answers

Answer:

9.0, 9.012, 9.201, 9.210

Step-by-step explanation:

9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.

9.0 , 9.012 , 9.201 , and greatest is 9.210 hope this helps

A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?

Answers

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

I am giving all my final points for this one please answer correctly! and thank you

Answers

Answer:

D.

Step-by-step explanation:

You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10

Ryan was paid $75 for
working 6­ 1/4 hours.

How much money
did he make per hour?

A. $12.50

B. $12

C. $15

Answers

Answer:

the answer is b

Step-by-step explanation:

12:

Step-by-step explanation:

A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year

Answers

Answer:

the cashier would have 15000 dollars at the end of the year.

Step-by-step explanation:

is that what you were asking?

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Answers

The answer is 176 you multiply

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Answers

Answer:

t= -9/10= -0.900

Step-by-step explanation:

math problem plz help me ​

Answers

Answer:

Option C.

Ground level = 0 foot

Hole = -3 feet

Dirt pile = 3 feet

BRAINLIEST

Like terms of 6ab^2

1. -3ab

2. 2ab^2

3.-6a^2 b^2

4.-5ab^2

5.6ab

Answers

Answer:

2nd option is the right answer

What’s the answer? QUICK

Answers

Answer:

Step-by-step explanation:

4 and 1/6

The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.

Answers

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]

Hence, the percentage error is 25%.

Solve.
3.5 x (5.8 - 7.09) =

Answers

Answer:

-4.515

Step-by-step explanation:

3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515


゚+*:ꔫ:*
A. (2, 1)
B. (1, -2)
C. (1, 2)
D. (-1, 2)


♡━━━━━━━━━♡
︎thank you! ♡´・ᴗ・`♡

Answers

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

if cube has total surface area 150cm sweet, find the volume of the cube

Answers

Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

125 cm ans

may be it is helpful

Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in

Answers

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.

Answers

Answer:

i mean might as well get free points now that its 2 weeks old

Step-by-step explanation:

Answer:

Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.

Width = A

Length = B

Diagonal = C

so: a2+b2=c

2502+1002=c2

2500+10000=c2

12500=c2

c=√12500

c=111.80 yards

Step-by-step explanation:

the ambitous jackle

Explain ASAP PLEASE!!!!!!

Answers

Answer:

C

Step-by-step explanation:

you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base

the bases of the triangle would be 2 and 5

so that gives sqrrt 29

HELP !!!!!!! MAHH HELP PLEASE !!!!

Answers

A. ( 5 , 3 )
B. ( 3 , -1 )
C. ( 1 , 2 )
D. ( 6 , 3 )
E. ( 9 , 2 )
F. ( 2 , -5 )
G. ( 2 , -3 )
H. (-16/11 , 28/11 )


Please mark BRAINLEST

The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.

Answers

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

Can you tell me the definition of the highlighted word please in your own words (Thank you)

Answers

Answer:

congruent means similar

Step-by-step explanation:

why didnt you just search it up? lol

congruent means that they are perfectly identical.

please help me with this

answer choice
This system has infinitely many solutions.
This system has exactly one solution.
This system has no solution.
(5, –28) and (0, 0)

Answers

Answer:

the answer is the first one hope this helps

Step-by-step explanation:

For the function of f ( x ) = − 2 x^ 2 + x + 1, find f (3).

Answers

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:

Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.

Y= 2x+6
Y= -3x-14

Answers

The ordered pair (-4,-2) is a solution for both of the equations

what’s the answer and how did you get it? i’m confused

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Because you should put the gh with gh, 2  is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.

Answer: The given expression is 8g^2h-7gh+2

The degree of 8 g^2 h is 2, 1

The degree of - 7 g h is 1

The degree of 2 is 0

But the degree of expression will the highest degree of the indivisual expression of above i.e 3.

The answer is 3.

Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30

Answers

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Step-by-step explanation:

50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you

Answers

Answer:

For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]

For the second: [tex]x=5[/tex]

Step-by-step explanation:

Answer:

x=17 for the first and x=5 for the second.

Step-by-step explanation:

First picture

Opposite angles of two intersecting lines are equal.

So the angle opposite the 100 degree angle on line c is also 100.

Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).

So 5x + 15 = 100

5x = 85

x = 17

Second picture

Adjacent angles add up to 180 degrees.  So the angle opposite 52 is 180-52=128.

[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]

Can someone please help me

Answers

Answer:

y=89

Step-by-step explanation:

because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42

Solve for X.

x+3
4
8

Answers

Answer:

First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"

A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20

Answers

Answer:

c. $10.56

Step-by-step explanation:

$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64

$13.20 - $2.64 = $10.56

A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?

Answers

Answer:

point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.

y - 5 = 1/3 (x - (-2))

Step-by-step explanation:

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