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Luden [163]
3 years ago
11

a machine takes 4.2 hours to make 7 parts. at that rate how many parts can the machine make in 28.8 hours

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
6 0
In 1 hour, a machine could make:
7 \div 4.2
parts
In 28.8 hours, that machine make
7 \div 4.2 \times 28.8 = 4.8
parts
butalik [34]3 years ago
5 0

Answer:

48 Parts

Step-by-step explanation:


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Big Smiles Toy Company needs to pack marbles into a box. The company has two boxes they can use. Box A is 9 inches wide, 13 inch
shtirl [24]

Answer:

Big Smiles Toy Company should choose Box B as its volume is  82.5 inch^3 larger than Box A

Step-by-step explanation:

Given

Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height

Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height

Volume of Box A= Length\timeswidth\times height=9\times13\times11.5= 1345.5 inches^3

Volume of Box B =Length\times width\times height= 14\times8.5\times12= 1428 inches^3

Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5inches^3

Box B has 82.5 inch^3 volume larger than Box A

4 0
3 years ago
Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.
Anvisha [2.4K]

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

3 0
3 years ago
NEED HELP ASAP!! <br> and please explain if you can.
Shtirlitz [24]

Answer:

HI

Step-by-step explanation:

8 0
2 years ago
HELP!!! I am taking a final exam with 65 minutes left. please help me
sweet-ann [11.9K]

Answer:

Step-by-step explanation:

5 0
2 years ago
Find the value of a in this equation<br> <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D-18x%2B81%3D%28x-a%29x%5E%7B2%7D" id="TexF
ryzh [129]

Answer:

9

Step-by-step explanation:

Solving the equation on the left we get

(x-9)^2

6 0
1 year ago
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