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mixer [17]
3 years ago
5

An electric pump can fill a 45-gallon tub in half an hour.At this rate, how long would it take to fill a 60-gallon tub?

Mathematics
1 answer:
zysi [14]3 years ago
8 0
You can cross multiply to find the answer. Start by setting up your equation:

45/30 = 60/x  (30 represents half an hour)
Next, cross multiply, 45 times x, and 60 times 30: 

45x = 1800  you must isolate the "x" value by using the opposite operation it is involved in. Here we have 45x (x is multiplied to 45) so we must divide 45, which will cancel itself out, leaving us with "x."

What you do on one side of the equation, you must do on the other, so divide 1800 by 45 as well, which will leave you with 40.

Working it out on paper, your equation should now look like this: x=40, which represents the amount of time it will take to fill a 60 gallon tube.

Answer: It will take 40 minutes to fill a 60 gallon tube. 
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A 2007 survey of 980 American drivers concluded that 38% of the driving population would be willing to pay higher gas prices to
Oksana_A [137]

Answer:

The correct answer to the question is

e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment.

Step-by-step explanation:

The margin of error expresses the number of percentage points of error is contained within  survey result. A large error margin therefore reduces the level of dependence on a given statistic. The margin of error describes the expected variation between the statistic sample and the real population value.

In the question, the option

e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment , clearly depicts the definition of margin of error as it shows the expected variance from te real population

8 0
3 years ago
Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0
2 years ago
Traveling at 65 mph how many feet can you travel in 22 minutes?
baherus [9]
If you are travelling at 65 mph, you have to think of it as if you are moving at a constant speed.  By dividing 65 by 60, you are calculating how many miles you are moving each minute.  In doing so, you can calculate that you are moving at 1.083333 miles each minute.  That's approximately 5720 feet per minute.  (This is calculated by multiplying 1.083333 by 5280 (the number of feet in a mile)).  5720 x 22 minutes, you will have traveled 125,840 feet.

Hope this helps!
6 0
3 years ago
Read 2 more answers
Solve to find x.<br> 7x - 12 = x - 6
Annette [7]

Hi,

7x - x = - 6 + 12

6x = 6

x = 6/6 = 1

3 0
2 years ago
Can you help me with math?
GaryK [48]

Answer:

n = 143

Step-by-step explanation:

To find the value of n, you multiply 13 by 10 because that is the inverse of dividing, and you get 130. Since there is a greater than sign, the answer is 143 because the value of n has to be greater than 130.

5 0
3 years ago
Read 2 more answers
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