All categories

3 years ago

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.

Mathematics

2 answers:

NARA [144]3 years ago

7 0

Answer:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

RoseWind [281]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Divide 12.75 by 3 to get the amount Machine A makes in 1 minute, 4.25 ounces.

Divide 18 by 4 to get the amount Machine B makes in 1 minute, 4.5 ounces

Multiply 4.25 by 10 for a total from Machine A, 42.5 ounces.

Multiply 4.5 by 10 for a total from Machine B, 45 ounces.

Add 42.5 to 45 totalling 87.5

Eight 9-ounce bags require 72 ounces of popcorn. So if both Machines made a total of 87.5 ounces they would have enough popcorn.

You might be interested in

At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height

jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x which is the height of the tree.

c = 3*x + 1 so we are trying to find x. Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2

35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

6 0

4 years ago

Read 2 more answers

Solve for W -5.1=1.3+w/4

Lera25 [3.4K]

-5.1=1.3+w/4
Subtract 1.3 from both sides
-6.4=w/4
Multiply both sides by 4
-25.6=w

Check work:
-5.1=1.3+(-25.6/4)
-5.1=1.3+(-6.4)
-5.1=1.3-6.4
-5.1=-5.1

Hope this helps! :)

7 0

3 years ago

Find the value of x to the nearest tenth.

Lapatulllka [165]

Answer:

8.0

Step-by-step explanation:

Sin theta = opposite /hypotenuse

sin 53 = x/10

Multiply each side by 10

10 sin 53 = x

7.9863551

To the nearest tenth

x = 8.0

4 0

3 years ago

Read 2 more answers

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.72 before the discount, and

IrinaVladis [17]

Answer:

$82.65

Step-by-step explanation:

First, find the cost with the discount:

78.72(0.85)

= 66.91

Then, find the amount of the tip:

78.72(0.2)

= 15.74

Then, add together the cost and tip:

66.91 + 15.74

= 82.65

So, the total cost of the meal was $82.65

6 0

3 years ago

The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?

antoniya [11.8K]

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

4 0

3 years ago