Mathematics : asked on meth77
 02.03.2021

Convert 4 3/5 cups to pints.
2 cups = 1 pint

. 8

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Mathematics
Step-by-step answer
P Answered by PhD

There are 4 3/5 cups equals 23/10 pints.

Unitary method;

This method generally involves finding the value of a unit in the given terms, using which the value of the given quantity of units can be calculated.

Given

The measure 2 cups equal 1 pint.

Let, the 4 3/5 cups is equal to x pint.

The 4 3/5 cups convert into pints by using the unitary method following all the steps given below.

Therefore,

The  4 3/5 cups are equal to;

\rm \dfrac{1}{x}=\dfrac{2}{4\dfrac{3}{5}}\\\\2x= 1\times 4\dfrac{3}{5}\\\\2x =1\times \dfrac{20+3}{5}\\\\ 2x =1\times \dfrac{23}{5}\\ 2x=\dfrac{23}{5}\\\\x=\dfrac{23}{5\times 2}\\\\x=\dfrac{23}{10}\\\\

Hence, there are 4 3/5 cups equals 23/10 pints.

To know more about the Unitary method click the link given below.

link

Mathematics
Step-by-step answer
P Answered by PhD

There are 4 3/5 cups equals 23/10 pints.

Unitary method;

This method generally involves finding the value of a unit in the given terms, using which the value of the given quantity of units can be calculated.

Given

The measure 2 cups equal 1 pint.

Let, the 4 3/5 cups is equal to x pint.

The 4 3/5 cups convert into pints by using the unitary method following all the steps given below.

Therefore,

The  4 3/5 cups are equal to;

\rm \dfrac{1}{x}=\dfrac{2}{4\dfrac{3}{5}}\\\\2x= 1\times 4\dfrac{3}{5}\\\\2x =1\times \dfrac{20+3}{5}\\\\ 2x =1\times \dfrac{23}{5}\\ 2x=\dfrac{23}{5}\\\\x=\dfrac{23}{5\times 2}\\\\x=\dfrac{23}{10}\\\\

Hence, there are 4 3/5 cups equals 23/10 pints.

To know more about the Unitary method click the link given below.

link

Mathematics
Step-by-step answer
P Answered by PhD
1) Convert the following measurements.
a. 2 cubic yards to cubic feet
1 cubic yard > 27 cubic feet
2 X
x=2*27=54 cubic feet

b. 135 cubic feet to cubic yards
1 cubic yard > 27 cubic feet
x 135
x=135/27=5 cubic yard

c. 6,912 cubic feet to cubic inches
1 cubic feet > 1728 cubic inches
6912 cubic feet x
x=11943936 cubic inches

d. 279,936 cubic inches to cubic feet
1 cubic feet > 1728 cubic inches
x 279,936 cubic inches
x=162 cubic feet

2) Solve the following addition problem. Remember to carry as necessary.

7 cu. yd. 9 cu. ft. 134 cu. in. + 1 cu. yd. 12 cu. ft. 200 cu. in.
7 cu. yd
9 cu. ft > 9/27=0.33333 cu yd
134 cu. in> 134*2.1433e-5=0.00287
1 cu. yd
12 cu. ft 12/27=0.44444 cu yd
200 cu. in200*2.1433e-5=0.00429 cu yd

(7+0.33333+0.00287)+(1+0.44444+0.00429)=8.78493 cu yd

3 Solve the following subtraction problem. Remember to borrow as necessary.

9 cu. yd. 113 cu. in. – 4 cu. ft. 129 cu. in.
9 cu yd
113 cu in113*2.1433e-5=0.00242 cu yd
4 cu. ft4/27=0.14814 cu yd
129 cu. in129*2.1433e-5=.00276
(9+0.00242)-(0.14814+.00276)=8.85152 cu yd

4 Solve the following multiplication problem.

11 cu. yd. 17 cu. in. × 135
11 cu yd
17 cu in17*2.1433e-5=0.00036 cu yd

(11+0.00036)*135=1485.0486 cu yd

5 What’s the capacity of a 3 cubic foot carton in cubic inches?
3 cu feet> 3*1728=5184 cu in

6 The Great Pyramid was built in Egypt more than 4,000 years ago. It was built by King Khufu, or Cheops, who intended to use it as a tomb. The pyramid contains about 2,300,000 blocks of stone, each weighing 2 1⁄2 tons. Can you calculate the approximate total weight of the Great Pyramid, in pounds?
2 1/2=(4+1)/2=5/2=2.5
weight=2,300,000*2.5=5750000 ton> *2204.62=12676565000 lb

7 Convert the following liquid measures. 
a. 5 gallons to pints *8=40 pints
b. 128 tablespoons to fluid ounces *0.5=64 fluid onces
c. 93 pints to quarts *0.5=46.5 quarts
d. 13 quarts to cups ---*4=52 cups
e. 69 teaspoons to tablespoons*0.3333=23 tablespoons
f. 112 cups to gallons*0.0625= 7 gallons
g. 18 fluid ounces to teaspoons*6=108 teaspoons
h. 3 gallons to fluid ounces*128= 384 ounces

8 A local dairy farmer collects 490 gallons of milk a day from his cows. He keeps 1⁄35 of the milk for his own use, and sells the rest. Each quart of milk sells for 35 cents. In dollars, how much does he earn from selling his milk each day? (There are 100 cents in a dollar.)

(34/35)*490=476 gallons to sell> *4=1904 quarts
1904*0.35=666.40 dollars

9 A swimming pool has a capacity of 1,386 cubic feet. One gallon of water will fill 231 cubic inches of space. How many gallons of water will it take to fill the entire pool? (Hint: Convert the capacity of the pool to cubic inches first.)
1,386 cubic feet> *1728=2395008 cu in
1 gallons will fill > 231 cu in of space
x 2395008 cu in
x= 10368 gallons 

10 The instructions on a bottle of laundry detergent tell you to add two capfuls of detergent to each gallon of water. One capful of detergent is equal to about one tablespoon. If your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

2 capfuls of detergent> 1 gallon of water> 2 tablespoon
                                                    11 > X

x=11*2=22 tablespoon
22 tablespoon> *0.5=11 fluid onces

11 Convert the following dry measurements.
a. 11 bushels to quarts *37,2367=409.60 quarts
b. 3 pecks to pints*18.6184=55.85 pints
c. 97 quarts to bushels  *0.02685=2.6044 bushels
d. 1,120 quarts to pecks* 0.107421=120.31 pecks

12 Twelve apple pies can be made from one bushel of apples. How many apple pies can be made from one peck of apples?
1 peck> *0.25=0.25 bushel

12 apple pies > 1 bushel
x0.25 bushel
x=0.25*12=3 apple pies

13 Mr. Osaka sprinkles 1.694 pints of dry, powdered plant food on his garden three times a year. In quarts, what’s the total amount of plant food he uses in one year?

1.694 pints*3=5082 pints in one year> *0.5=2541 quarts
Mathematics
Step-by-step answer
P Answered by PhD
1) Convert the following measurements.
a. 2 cubic yards to cubic feet
1 cubic yard > 27 cubic feet
2 X
x=2*27=54 cubic feet

b. 135 cubic feet to cubic yards
1 cubic yard > 27 cubic feet
x 135
x=135/27=5 cubic yard

c. 6,912 cubic feet to cubic inches
1 cubic feet > 1728 cubic inches
6912 cubic feet x
x=11943936 cubic inches

d. 279,936 cubic inches to cubic feet
1 cubic feet > 1728 cubic inches
x 279,936 cubic inches
x=162 cubic feet

2) Solve the following addition problem. Remember to carry as necessary.

7 cu. yd. 9 cu. ft. 134 cu. in. + 1 cu. yd. 12 cu. ft. 200 cu. in.
7 cu. yd
9 cu. ft > 9/27=0.33333 cu yd
134 cu. in> 134*2.1433e-5=0.00287
1 cu. yd
12 cu. ft 12/27=0.44444 cu yd
200 cu. in200*2.1433e-5=0.00429 cu yd

(7+0.33333+0.00287)+(1+0.44444+0.00429)=8.78493 cu yd

3 Solve the following subtraction problem. Remember to borrow as necessary.

9 cu. yd. 113 cu. in. – 4 cu. ft. 129 cu. in.
9 cu yd
113 cu in113*2.1433e-5=0.00242 cu yd
4 cu. ft4/27=0.14814 cu yd
129 cu. in129*2.1433e-5=.00276
(9+0.00242)-(0.14814+.00276)=8.85152 cu yd

4 Solve the following multiplication problem.

11 cu. yd. 17 cu. in. × 135
11 cu yd
17 cu in17*2.1433e-5=0.00036 cu yd

(11+0.00036)*135=1485.0486 cu yd

5 What’s the capacity of a 3 cubic foot carton in cubic inches?
3 cu feet> 3*1728=5184 cu in

6 The Great Pyramid was built in Egypt more than 4,000 years ago. It was built by King Khufu, or Cheops, who intended to use it as a tomb. The pyramid contains about 2,300,000 blocks of stone, each weighing 2 1⁄2 tons. Can you calculate the approximate total weight of the Great Pyramid, in pounds?
2 1/2=(4+1)/2=5/2=2.5
weight=2,300,000*2.5=5750000 ton> *2204.62=12676565000 lb

7 Convert the following liquid measures. 
a. 5 gallons to pints *8=40 pints
b. 128 tablespoons to fluid ounces *0.5=64 fluid onces
c. 93 pints to quarts *0.5=46.5 quarts
d. 13 quarts to cups ---*4=52 cups
e. 69 teaspoons to tablespoons*0.3333=23 tablespoons
f. 112 cups to gallons*0.0625= 7 gallons
g. 18 fluid ounces to teaspoons*6=108 teaspoons
h. 3 gallons to fluid ounces*128= 384 ounces

8 A local dairy farmer collects 490 gallons of milk a day from his cows. He keeps 1⁄35 of the milk for his own use, and sells the rest. Each quart of milk sells for 35 cents. In dollars, how much does he earn from selling his milk each day? (There are 100 cents in a dollar.)

(34/35)*490=476 gallons to sell> *4=1904 quarts
1904*0.35=666.40 dollars

9 A swimming pool has a capacity of 1,386 cubic feet. One gallon of water will fill 231 cubic inches of space. How many gallons of water will it take to fill the entire pool? (Hint: Convert the capacity of the pool to cubic inches first.)
1,386 cubic feet> *1728=2395008 cu in
1 gallons will fill > 231 cu in of space
x 2395008 cu in
x= 10368 gallons 

10 The instructions on a bottle of laundry detergent tell you to add two capfuls of detergent to each gallon of water. One capful of detergent is equal to about one tablespoon. If your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

2 capfuls of detergent> 1 gallon of water> 2 tablespoon
                                                    11 > X

x=11*2=22 tablespoon
22 tablespoon> *0.5=11 fluid onces

11 Convert the following dry measurements.
a. 11 bushels to quarts *37,2367=409.60 quarts
b. 3 pecks to pints*18.6184=55.85 pints
c. 97 quarts to bushels  *0.02685=2.6044 bushels
d. 1,120 quarts to pecks* 0.107421=120.31 pecks

12 Twelve apple pies can be made from one bushel of apples. How many apple pies can be made from one peck of apples?
1 peck> *0.25=0.25 bushel

12 apple pies > 1 bushel
x0.25 bushel
x=0.25*12=3 apple pies

13 Mr. Osaka sprinkles 1.694 pints of dry, powdered plant food on his garden three times a year. In quarts, what’s the total amount of plant food he uses in one year?

1.694 pints*3=5082 pints in one year> *0.5=2541 quarts
Mathematics
Step-by-step answer
P Answered by Specialist
Hello!

1. To convert minutes to hours, we must multiply the number of minutes by 60, because that is how many minutes there are in an hour.

2. 1 pint = 16 ounces

16 × 8 = 128

Fernando bought 128 fluid ounces of milk.

3. 1 quart = 0.25 gallons

0.25 × 8 = 2

2 gallons are equivalent to 8 quarts.

4. Because when you divide 25 by 8, the result is greater than 3.

5. By dividing 6,400 by 2,000, because that is how you will find the exact equivalent of 6,400 pounds in tons.

7. 1 pound = 16 ounces

16 × 80 = 1,280

1,280 ounces is equivalent to 80 pounds.

9.

The missing value in the table is 918, because:

1 yard = 3 feet

3 × 306 = 918

306 yards = 918 feet
Mathematics
Step-by-step answer
P Answered by Master
Hello!

1. To convert minutes to hours, we must multiply the number of minutes by 60, because that is how many minutes there are in an hour.

2. 1 pint = 16 ounces

16 × 8 = 128

Fernando bought 128 fluid ounces of milk.

3. 1 quart = 0.25 gallons

0.25 × 8 = 2

2 gallons are equivalent to 8 quarts.

4. Because when you divide 25 by 8, the result is greater than 3.

5. By dividing 6,400 by 2,000, because that is how you will find the exact equivalent of 6,400 pounds in tons.

7. 1 pound = 16 ounces

16 × 80 = 1,280

1,280 ounces is equivalent to 80 pounds.

9.

The missing value in the table is 918, because:

1 yard = 3 feet

3 × 306 = 918

306 yards = 918 feet
Mathematics
Step-by-step answer
P Answered by Master
6 d x 24 hr = 144 hr 144 hr x 60 min = 8640 min 16 hr x 60 min = 960 min 8640 min + 960 min + 34 min= 9634 min. In the first conversion, we used 24 hours because there are 24 hours in a ... Convert 4 gallon 3 quarts 1 pints into pints. ... For example, larger to smaller units still multiply and smaller to larger units still divide.
Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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