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1 year ago

zoe and Hannah share tips in the ratio 3:7 last week zoe recived £24 how much did hannah recieve last week

Mathematics

2 answers:

Reil [10]1 year ago

7 0

Answer:

Step-by-step explanation:

The ratio is 3:7, so to get Hannah's amount you need to double what Zoe got (3 doubled is 6) then add 1 third of her original amount (1 third of 3 is 1, 3x2+1=7). 1 third of 24 is 8, so the answer is 24x2+8 which is 56. Sorry if the explanation isn't great, I'm not the best at explaining.

VladimirAG [237]1 year ago

3 0

Answer:

Step-by-step explanation:

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17. It takes one minute to fill (3/7) th of a vessel. What is the time taken in

Vinil7 [7]

Answer:

Given that 1minute =3/7of the vessel

let the time taken in minutes to fill the whole of the vessel be' x' minute.

1min =3/7

xmin =whole vessel =1=7/7

=3x/7=1=x=7/3=2.3min=2min.3sec

8 0

1 year ago

An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a

RoseWind [281]

Answer:

$36\ tigers$

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

$x+y+z=120$ ----> equation A

Remember that

$20\%=20/100=0.20$

$50\%=50/100=0.50$

To find out the number of lions, multiply the total animals by the percentage of lions

$x=0.20(120)=24\ lions$

To find out the number of zebras, multiply the total animals by the percentage of zebras

$z=0.50(120)=60\ zebras$

Substitute the value of x and the value of z in equation A and solve for y

$24+y+60=120$

$y+84=120$

$y=36\ tigers$

6 0

1 year ago

What is the value of the algebraic expression x=1/2, y=1, and z=2? 6x(y2z)

alexandr1967 [171]

Is 12 I think so !! try it

5 0

2 years ago

The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.

GREYUIT [131]

Answer:

Option A. about 100.5ft²

Explanation:

Since the bases must not be painted, their areas are not included in the calculation.

The surface to paint, of each pillar, is equal to the lateral area of a cylinder with he dimensions given.

The formula for the laeral area of a cylinder is:

$Lateral\text{ }area=2\pi \times radius \times height$

Substitute including the conversion factor to convert inches to feet:

$Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2$

7 0

1 year ago

The DiMonte Corporation invented a new type of sunglass lens. Their variable expenses are $12.66 per unit, and their fixed expen

Sladkaya [172]

Answer:

a)one lens: 111,212.66

15000 lenses: 301,100

b)y=111,200+12.66x

slope: 12.66

c)12.66 dollars per unit of lens produced

d) 20.07

e) 19.2

f)decreases

Step-by-step explanation:

a) Cost of producing one lens

fixed expenses+variable expenses=111,200+12.66=111,212.66

Cost of producing 15,000 lenses

fixed expenses+variable expenses=111,200+12.66(15,000)=301,100

b)Expense function:

let y be the expense cost

let x be the number of lenses produced

y=111,200+12.66x

Slope:

The function is a line equation: y=mx+b where m is the slope.

In this case b=111,200 and m=12.66. So the slope is 12.66

c) the cost increases 12.66 dollars per unit of lens produced

d) The cost of producing 15000 lenses is:

111,200+12.66(15,000)=301,100

If DiMonte produces 15000 lenses, the average cost per lens is:

301,100/15000=20.073≈20.07

e)The cost of producing 17000 lenses is:

111,200+12.66(17,000)=326,420

If DiMonte produces 17000 lenses, the average cost per lens is:

326,420/17,000=19.2

f)The average per lens decrease.

8 0

2 years ago