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2 years ago

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Do you have a recipe that requires 1/3 cup of sugar, but you only want to make a fourth of the recipe how much sugar do you need

to make this fraction of the recipe? A) 1/12 cups. B) 7/12 cups. C) 3/4 cups. D) 4/3.

1 answer:

likoan [24]2 years ago

7 0

Answer:

1/12

Step-by-step explanation:

i did 3x4=12 so you only need 1/12

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The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

2 years ago

Angle 3 is equal to angle

Phoenix [80]

Angle 3 is equal to angle 5 because of vertical angles.

3 0

3 years ago

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A store sells two different fruit baskets with mangos and kiwis. The first basket has 2 mangos and 3 kiwis for $9.00. The second

Oliga [24]

Answer:

kiwis = $1.5

mangoes = $2.25

Step-by-step explanation:

Two equations can be derived from the question

2m + 3k = 9 equation 1

5m + 2k = 14.25 equation 2

m = mangoes

k = kiwis

multiply equation 1 by 5 and 2 by 2

10m + 15k = 45 equation 3

10m +4k = 28.5 equation 4

Subtract equation 4 from 3

11k = 16.5

k = 1.5

Substitute for k in equation 1

2m + 3(1.5) = 9

2m + 4.5 = 9

2m = 4.5

m = 2.25

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2 years ago

A ladder is 100 inches tall. How tall is it in feet and inches

Nataly [62]

Answer:

Step-by-step explanation?

8 feet 4 inches....12*8= 96, 96+4=100....so your answer is 8 foot 4 inches. because there is 12 inches in a foot, and have 4 left over for the 100.

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3 years ago

Find the area of the larger sector.<br> Round to the nearest tenth.

vampirchik [111]

Answer:

399.6 square miles

Step-by-step explanation:

The Area of a sector =

x/360° × πr²

r = 13.4 miles

x = 255°

Hence,

255°/360° × π × 13.4²

= 399.5739336 square miles

Approximately = 399.6 square miles

6 0

2 years ago

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