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3 years ago

Split £10 into the ratio 4:1

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

let the shares be 4x and 1x (4:1)

total share = 4x + 1x = 5x

total amount = 10£

5x = 10£

x = 2£

1st share = 4x = 4*2£ = 8£

2nd share = 1x = 1*2£ = 2£

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I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing

loris [4]

The answer to this question:
<span>north and south sides 16ft
east and west sides 8ft
</span>
In this question, the east and west fencing cost is $4/ft but the south and north fencing cost is $2/ft. The cost is cheaper for fencing north and south side which cost half of the east and west side. The perimeter is made by adding the south, north, east and west side.
If x = north and south fencing and y= is east and west side, then you can get this equation

cost= (south+north) * $2 + (east+west)*$4
128=(x+x) * 2 + (y+ y) * 4
128= 4x + 8y
32= x+ 2y
x= 32-2y

The area is count by multiplying the width and length, which was x and y in this question. The formula should be:
area= length * width
area= x * y
area= (32-2y) * y
area= 32y - 2y^2

Then, you need to find the value of y needed for the maximum area.
32y- 2y^2
32 - 2*2y=0
32= 4y
y= 8

If y=8 then
x= 32-2y
x= 32- 16= 16

6 0

3 years ago

Word Problems:

vaieri [72.5K]

Answer:

Andy's Rental Car: f(x)= 20 + (30x)

Buddy's Rental Car: f(x) 36 + (28x)

Step-by-step explanation:

First, identify what you know:

1) Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car.

2) Buddy's Rental Car charges an initial fee of $36 plus an additional $28 a day!

So, which rental car company has the better deal? Imagine you want to rent a car for ten days, which would you choose?

First, create an equation for each:

Andy's Rental Car: f(x)= 20 + (30x)

The x represents the number of days the car is rented. Multiple the days by the $30 day charge, and add it to the initial rental charge.

Buddy's Rental Car: f(x) 36 + (28x)

The x represents the number of days the car is rented. Multiple the days by the $28 day charge, and add it to the initial rental charge.

Now, input 10, for the number of days you want to rent the car for!

Andy's Rental Car: f(10)= 20 + (30 x 10)

20 + (300)

f(x) = $320

Buddy's Rental Car: f(10) = 36 + (28 x 10)

36 + (280)

f(x) = $316

So, it would be $4 cheaper to rent from Buddy's Rental Car company than Andy's Rental Car company!

Hope this helps! :)

7 0

3 years ago

Z=5x - 11 y<br> can someone please hell

Airida [17]

Answer:

$\frac{z+11y}{5}$

Step-by-step explanation:

z=5x-11y

+11y on both sides

z+11y=x

divide by 5 on both sides

8 0

3 years ago

Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon

oksano4ka [1.4K]

Answer:

P=$254

Step-by-step explanation:

let Hot N' Spicy be x

and Mild Mannered be y

the objective function is

38x+35y=P

the constraints are

1. tomato sauce

2x+3y=18--------1

2. hot peppers

2x+y=10--------2

solving 1 and 2 we have

using substitution method

2x+y=10--------2

y=10-2x

put y=10-2x in eqn 1

2x+3(10-2x)=18

2x+30-6x=18

2x-6x=18-30

-4x=-12

x=12/4

x=3

put x=3 in eqn 2 we have

2(3)+y=10

6+y=10

y=10-6

y=4

He should make 3 gallons of Hot N' Spicy

and 4 gallons Mild Mannered

38(3)+35(4)=P

114+140=P

254=P

P=$254

5 0

3 years ago

Jake made cupcakes for his birthday. He made 13 chocolate and 9 vanilla. What percent of the cupcakes

Leona [35]

Answer:

59 1/11 %

Step-by-step explanation:

13 chocolate and 9 vanilla = 22 total cupcakes

Percent chocolate = 13 chocolate / 22 total

=13/22

=.59090909

=59 1/11 %

7 0

3 years ago

Split £10 into the ratio 4:1​

Split £10 into the ratio 4:1