Find the unit rate with the second given unit in the denominator. 150 miles on 6 gallons A. B. C. D.

QUESTION POSTED AT 03/12/2019 - 12:36 PM

Answered by admin AT 03/12/2019 - 12:36 PM

150 miles divided by 6 gallons is 25 miles for every 1 gallon.
Post your answer

Related questions

In what situation can you use only multiplication to find equivalent fractions to a given fraction? Give an example..

You can use it for the denominator the bottum of the faction

ANSWERED AT 14/12/2019 - 06:36 PM


QUESTION POSTED AT 14/12/2019 - 06:36 PM

There are 12 inches in 1 foot. what fact family would you use to find the number of inches in 2 feet?

So like you said there are 12 inches in a foot so we can set it up like this:
x = 12
x is the feet and the variable is the inches
so if u need to find 2 feet it would be 
2x = 24 
24 is the answer

ANSWERED AT 14/12/2019 - 06:36 PM


QUESTION POSTED AT 14/12/2019 - 06:36 PM

Shade the grid to represent the ratio 9/25. Then find a percent equivalent to the given ratio.

Answers and workings in the attachment below.

ANSWERED AT 14/12/2019 - 06:35 PM


QUESTION POSTED AT 14/12/2019 - 06:35 PM

The world's fastest insect is the dragonfly, which can fly up to 36 miles per hour. Atthis rate, how long would it take a dragonfly to travel 54 miles?


                     (54 miles) x (1 hour / 36 miles)

                 =  (  54 x 1 / 36 )  hours

                 =            1.5 hours

                 =      1 hour  30 minutes

ANSWERED AT 14/12/2019 - 06:34 PM


QUESTION POSTED AT 14/12/2019 - 06:34 PM

Jin ran 15.2 miles over the weekend he ran 6.75 miles on saturday how Man y miles did he Rin on sunday

8.45 miles was ran on sunday.


ANSWERED AT 14/12/2019 - 06:33 PM


QUESTION POSTED AT 14/12/2019 - 06:33 PM

Your friend used the proportion 25/100 = 50/? to find 25% of 50 and says that the answer is 200. Explain why your friend is incorrect and find the correct answer.

The set-up 25/100= 50/? is incorrect.

The correct set-up should be ?/50= 25/100.

?= 50* (25/100)= 12.5.

The correct answer is 12.5~

ANSWERED AT 14/12/2019 - 06:30 PM


QUESTION POSTED AT 14/12/2019 - 06:30 PM

6 bottles of soda cost $2.70. What is the unit rate for the cost per 1 bottle?

2.70=6 bottles $0.45= for 1 bottle hope that helps

ANSWERED AT 14/12/2019 - 06:27 PM


QUESTION POSTED AT 14/12/2019 - 06:27 PM

Will Thank and badge! Please answer Let θ be an angle such that cos(θ)=−8/9 and cot(θ)<0. Find the exact values of tanθ and sinθ.

Find the value of θ,
θ = arccos -8/9 = 152.734 deg
You can substitute this value for the requirement.
tan 152.734 = -0.51539
sin 152.734 = 0.45812

ANSWERED AT 14/12/2019 - 06:26 PM


QUESTION POSTED AT 14/12/2019 - 06:26 PM

Patrick buys 3 model airplanes for p dollars each and Amanda buys 2 models for 36 dollars Find the value of p so they both pay the same amount of money for the model airplanes

3 model airplanes* ($p/ 1 model airplane)= $3p.
Patrick has to pay $3p for 3 model airplanes.

Amanda has to pay $36 for 2 model airplanes.

$3p = $36
⇒ 3p = 36
⇒ p= 36/3
⇒ p= 12

The value of p is 12 (dollars)~

ANSWERED AT 14/12/2019 - 06:26 PM


QUESTION POSTED AT 14/12/2019 - 06:26 PM

Write or draw to explain a way to find each sum: 6+7, 8+4, 2+9

Step-by-step explanation:

For 6+7, on a number line we have placed a point A on value 6. On moving 7 units in the rightwards direction a point B is marked. That means when we move from 0 to point B, we get the result for 6+7 = 13.

For 8+4, on a number line we have placed a point C on value 8. On moving 4 units in the rightwards direction a point D is marked. That means when we move from 0 to point D, we get the result for 8+4 = 12.

For 2+9, on a number line we have placed a point E on value 2. On moving 9 units in the rightwards direction a point F is marked. That means when we move from 0 to point F, we get the result for 2+9 = 11.



ANSWERED AT 14/12/2019 - 06:25 PM


QUESTION POSTED AT 14/12/2019 - 06:25 PM

A number is chosen at random from 1 to 10 find the probability of selecting a multiple of 3

 a multiple of 3,3 6 and 9. since there are 10 options, you have a 3 in 10 of a  chance of getting a multiple of 3

ANSWERED AT 14/12/2019 - 06:25 PM


QUESTION POSTED AT 14/12/2019 - 06:25 PM

Find the slope between points (4, 6) and (-2, 6).

The slope is 0

y2-y1/x2-x1

6-6/-2-4 = 0/-6

ANSWERED AT 14/12/2019 - 06:22 PM


QUESTION POSTED AT 14/12/2019 - 06:22 PM

Sam needs 5/6 cup mashed bananas and 3/4 Cup mashed strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries . How can he write 5/6 and 3/4 as a pair of fractions with a common denominator

Answer: He needs more strawberries than banana.

Step-by-step explanation:

Since we have given that

Number of cups of mashed bananas is given by

\frac{5}{6}

Number of cups of mashed strawberries is given by

\frac{3}{4}

We need to find whether he needs more bananas or more strawberries.

For this we need a common denominator.

1) Taking L.C.M.  of denominator :

L.C.M. OF 6  and 4 = 12

2) Make the common denominator i.e. 12 for both the fractions.

\frac{5}{6}\times \frac{2}{2}=\frac{5\times 2}{6\times 2}=\frac{10}{12}\\\\and\\\\\frac{3}{4}\times \frac{3}{3}=\frac{3\times 3}{4\times 3}=\frac{9}{12}

so, we can see that

\frac{10}{12}>\frac{9}{12}

He needs more strawberries than banana.

ANSWERED AT 14/12/2019 - 06:19 PM


QUESTION POSTED AT 14/12/2019 - 06:19 PM

How many yards in 1/4 of a mile

We already know that 1 mile= 1760 yd.

1/4 mile* (1760 yd/ 1 mile)= 440 yd.

1/4 mile= 440 yd~

ANSWERED AT 14/12/2019 - 06:11 PM


QUESTION POSTED AT 14/12/2019 - 06:11 PM

J needs 19 quarts more paint for the outside of his barn then for the inside if he uses 107 quarts in all how many gallons of paint will be used to paint the inside of the barn

19 + x = 107
x = 107 - 19 = 88 quart

Since 1 quart = 0.25 gallons
88 qt (0.25 gal/1 qt) = 22 gallons

ANSWERED AT 14/12/2019 - 06:00 PM


QUESTION POSTED AT 14/12/2019 - 06:00 PM

The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x and f(1) = 173. What does the 173 represent? The starting amount of the isotope The amount of the isotope after one year The rate the isotope decreases The number of years that have passed

Answer:

Option B is the correct option.

Step-by-step explanation:

If amount of a radioactive isotope decays in half every year and it can be modeled by f(x) = 346(\frac{1}{2})^{x} then we have to tell what does f(1) = 173 represent.

In the formula given (\frac{1}{2})^{x} represents the half life of the isotope and 346 is the amount of isotope taken initially.

Therefore f(1) = 173 represents the amount of isotope remained after one year.

Option B is the correct answer.

ANSWERED AT 14/12/2019 - 05:57 PM


QUESTION POSTED AT 14/12/2019 - 05:57 PM

A farm stand sold 12 ears of corn for 4$ .the farm stand sold 180 ears of corn at the same rate

To answer this first we set up a proportion and then solve. Lets do it:-

 \frac{4}{12}= \frac{x}{80}

Cross Multiply:-

80 · 4 = 320

Divide:-

420 ÷ 12 = 60

So, 180 ears of corn are for $60.

Hope I helped ya!! 

ANSWERED AT 14/12/2019 - 05:53 PM


QUESTION POSTED AT 14/12/2019 - 05:53 PM

The value of an antique car is modeled by the function V(x)=107,000(1.009)^ (2/3x) where x is the number of years since 2005. By what approximate percent rate is the value of the car increasing per year?

To get a percent rate, let the value of the car based on two consecutive years. The variable x represents a year. You can set any two numbers of year as long as they are consecutive; say x = 0 and x = 1.

Use the calculator to get instantly the values of V(x).
For V(x = 0)
V(x = 0) = 107,000(1.009)^[2/3(0)] = 107,000

For V(x = 1)
V(x - 1) = 107,000(1.009)^[2/3(1)] = 107,641

Another way of getting the percentage between two values is called the "relative change."
(107,641 - 107,000) / 107,000 = 0.0060 = 0.60%

ANSWERED AT 14/12/2019 - 05:52 PM


QUESTION POSTED AT 14/12/2019 - 05:52 PM

Describe how you regroup when you find the sum of 64+43

Here, regrouping is basically carrying. 

64+43 shown vertically would be:

  64
+43
-------
 107
4+3 is 7, so seven is in the ones place, but that's not the point.
60+40 is 100, so you regroup by carrying the one to the hundreds place.

Hope I helped!

ANSWERED AT 14/12/2019 - 05:52 PM


QUESTION POSTED AT 14/12/2019 - 05:52 PM

Find each percent increase from $3.49 to $3.89

Im doing this for ma unit one test tomarrow um subtract $3.89-$3.49 and then whatever you get just multiply that by a 100 because you are looking for the percent and its out of a 100 btw im in middleschool

ANSWERED AT 14/12/2019 - 05:48 PM


QUESTION POSTED AT 14/12/2019 - 05:48 PM

The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the greater number? x(x − 9) = 713 x(x + 9) = 713 x2 − 9 = 713 x2 + 9 = 713

Let x = first number and y = second number.
The first statement is expressed as
x*y = 713
The second statement is expressed as
x = y + 9
To find x, use the second equation in terms of y, that is y = x - 9. Then substituting it to the first equation yields
x*(x - 9) = 713

ANSWERED AT 14/12/2019 - 05:46 PM


QUESTION POSTED AT 14/12/2019 - 05:46 PM

Sybrina jogged 2 miles in 30 minutes. At this rate, how far would she jog in 90 minutes?At what rate did she jog each hour?

2miles per 30min - 2 to 3
90/30=3x2=6
6miles in 90min
She was jogging @ a 1mile per 15min but each hour it was 4mile per hour

ANSWERED AT 14/12/2019 - 05:45 PM


QUESTION POSTED AT 14/12/2019 - 05:45 PM

There were 548 films released in 2011. Of these, approximately 8.75% were rated PG (parental guidance suggested). How many PG movies were released in 2011?

Given situation: There were 548 films released in 2011. Rated PG were approximately 8.75% of the released movie. Question: Find how many PG movies were released in 2011. PG means Parental guidance. Solution, => 8.75% = 8.75 / 100 = 0.0875 => Now, let’s multiply this decimal number to the total number of films released. => 548 * 0.0875 => 47.95. Round off to 50. Thus, there were approximately 50 films released that were Rated PG.

ANSWERED AT 14/12/2019 - 05:45 PM


QUESTION POSTED AT 14/12/2019 - 05:45 PM

If f(x)=8sin^6x - cos^2x. Find f'(.

F'(x) = 48(sin(x))^5*cos(x)- 2cos(x)(-sin(x))
= 48(sin(x))^5*cos(x)+ 2cos(x)sin(x)

f'(π/4)= 48(sin(π/4))^5*cos(π/4)+ 2cos(π/4)sin(π/4)=7.

The final answer is 7.

Hope this helps~

ANSWERED AT 14/12/2019 - 05:43 PM


QUESTION POSTED AT 14/12/2019 - 05:43 PM

It was estimated that the united states would need 6200 more veterinarians in 2012. The percent error was 10%. if the estimate was low,how many were actually needed

5580 veterinarians were actually needed. 

To find this you must find what is 10% of 6200. 

In math, of = multiplication

So you multiply 10% and 6200. In order to do so, you must turn the percentage into a decimal or fraction. So 0.1 x 6200

That should get you 620. However, that IS NOT your final answer, since 620 is only 10% of the total, not the amount needed.

To get the actual amount of veterinarians, you subtract 620 from 6200, and should get 5580, the final answer. 

ANSWERED AT 14/12/2019 - 05:41 PM


QUESTION POSTED AT 14/12/2019 - 05:41 PM

What is the unit rate for meters per second if a car travels 156 meters in 13 seconds

Problem: Find the Unit rate in meters per second of the given numbers. Given = A car travels 156 meters in 13 seconds Solution = So the number that we have in meters is 156 and In seconds is 13. Now, we need to find the unit rate for this. Simply divide 156 by 13 to get the value of meters per 1 second. => 156 / 13 = 12 Thus the unit rate is: => 12 meters per second

ANSWERED AT 14/12/2019 - 05:40 PM


QUESTION POSTED AT 14/12/2019 - 05:40 PM

F(x)=5x+2; g(x)=7x+4 Find sx= f(x)+g(x) Find sx= f(x)+g(x) Find p(x)= 6g(x)

S(x) = f(x) + g(x) = (5x + 2) + (7x + 4) = 12x + 6
p(x) = 6*g(x) = 6(7x + 4) = 42x + 24

ANSWERED AT 14/12/2019 - 05:39 PM


QUESTION POSTED AT 14/12/2019 - 05:39 PM