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Delicious77 [7]
2 years ago
5

Susan was supposed to use 5/4 of a cup of butter

Mathematics
1 answer:
ElenaW [278]2 years ago
4 0

Answer:

a.\ \dfrac{3}{5}

Step-by-step explanation:

We can see the fractions \frac{5}{4} and \frac{3}{4} of cups.

It can be seen that denominator has 4 i.e. the fraction \frac{1}{4}.

Let us suppose, a unit is equal to \frac{1}4 of a cup.

Susan was supposed to use \frac{5}{4} of a cup.

i.e. 5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}

a. \text{Fraction of butter used} = \dfrac{3}{5}

Alternatively, we could have directly divided the given fractions:

\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}

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Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
alex41 [277]

Answer:

1)Diagram attached

2)8424

3)1404

4)1569

Step-by-step explanation:

1)

Diagram is attached

2)

How many square feet of the gravel will surround the lawn:

Converting yards into feet:

1 yard =3 feet

So 80 yard =80(3) feet

                   =240 feet

and 150 yard =150 (3) feet

                     =450 feet

Area of rectangle is given by :length X width

Area of the outer border = (6+ 240+ 6 ) (6+ 450+6)

                                         = 252 X 462

                                         = 116424

Area of the lawn = 240 X 450

                            = 108000

Area of gravel border = 116424 - 108000

                                    = 8424

Area of gravel border is 8424 ft^2

3)

Total volume when depth is 2 inches:

converting inches to feet:

1 inch=  0.083 feet

2 inches =0.1667 feet

volume = base area X depth

            =8424 X 0.1667

            = 1404

 total volume of gravel needed for the border is 1404 ft^3

4)

Given:

A large bag of colored rock contains 5/8 of a cubic yard and costs $30

total cost of the rocks needed for the border=?

1 cubic yard = $30

converting cubic yard to cubic feet

1 cubic yard=27 cubic feet

cost of 1 cubic yard= cost of 27 cubic feet = $ 30

cost of 1 cubic feet=30/27

cost of  1404 cubic feet= 1404 X 30 / 27

                                     = 1560

the total cost of the rocks needed for the border is $1560!

8 0
2 years ago
A rectangular room has a width of 5 yards and length of 6 yards. How many square-feet carpet will be required for carpeting the
Sindrei [870]

Answer:

Option B 270\ ft^{2}

Step-by-step explanation:

we know that

The area of the rectangle room, is equal to

A=LW

where

L is the length

W is the width

we have

L=6\ yd

W=5\ yd

Remember that

1 yard= 3 feet

Convert yards to feet

L=6*3=18\ ft

W=5*3=15\ ft

The area is equal to

A=(18)(15)=270\ ft^{2}

4 0
2 years ago
Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Wh
nata0808 [166]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-3/4 + 2/5x = 7/20x - 1/2

Step 2: Subtract 7/20x on both sides

-3/4 + 1/20x = -1/2

Step 3: Add 3/4 to both sides

1/20x = 1/4

Step 4: Divide 1/20 on both sides

x = 5

6 0
2 years ago
Which number has the greatest absolute value? <br> a. 0 <br> b. 10 <br> c. –10 <br> d. –20?
Triss [41]
Keep in mind, absolute values are always positive, even when they say negative.That is because the absolute value of a number is just the distance that number is from 0. Example : -5 and 5...they are both 5 spaces from 0...doesn't matter if it is negative or positive, it is still 5 spaces.

|0| = 0
|10| = 10
|-10| = 10
|-20| = 20

so ur answer is : | -20 |

6 0
2 years ago
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is
yulyashka [42]

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup  →Bean (right)     (2) coin ← bean (left)  

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left)  (3) Shell → Gray  (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1             C2         C3

Red       Gray      White

 __           __          __

Shell        coin        Bean

So Shell is under Red color cup

6 0
2 years ago
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