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Ksju [112]
3 years ago
11

Four gallons of gasoline weigh 25 pounds . find the unit rate in pounds per gallon.

Mathematics
2 answers:
Papessa [141]3 years ago
8 0

Answer:

6.25 pounds

Step-by-step explanation:

\frac{25}{4} = \frac{x}{1}

25÷4 = 6.25

\frac{25}{4} = 6.25

notka56 [123]3 years ago
7 0
There are several information's that are already given in the question. Based on those information's the answer to the question can be easily deduced. 
Weight of 4 gallons of gasoline = 25 pounds
Then
Weight of 1 gallon of gasoline = 25/4 pounds
                                                = 6.25 pounds
From the above deduction, we can easily conclude that the unit rate in pounds per gallon of gasoline is 6.25 pounds/gallon. I hope the answer helps you.
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When solving a system of two linear equations algebraically, how can you tell if the system has exactly one solution?
Artyom0805 [142]

Answer:

ther will be exactly one value. the answer is b

4 0
2 years ago
Need help of simplifying each sum or difference
dimaraw [331]
First you need to get a common denominator. The first two problems already have a common denominator, so you just have to find the sum and difference of the two problems, respectively. 

6.) (9y-3)/(y^2-5)

8.) 3/xy^3

Two find a common denominator, find the smallest value that has BOTH denominators as factors. 

10.) 8x^3*y^3 is the common denominator

Answer: 2/(8*x^3*y^3)

12.) Factor x^2 + 4x + 4 to get (x+2)(x+2)

Therefore, x+2 is already part of x^2 + 4x + 4

(x+4)/(x^2+4x+4)

14.) Factor both denominators..

4(y+2) and y(y+2)

So the common denominator would be 4y(y+2)

The first fraction is missing a "y" so multiply the numerator by y to get y^2

The second fraction is missing a "4" so multiply the numerator by 4 to get 4

(y^2 - 4)/(4y(y+2))

So can factor the numerator to get (y+2)(y-2). There if a (y+2) on top and bottom so they cancel out. 

Answer: (y-2)/4y


6 0
3 years ago
The length of time needed to complete a certain test is normally distributed with mean 46 minutes and standard deviation 6 minut
madam [21]

Answer:

0.0668 or 6.68%

Step-by-step explanation:

Mean time (μ)= 46 minutes

Standard deviation (σ) = 6 minutes

The z-score for any given time X is determined by:

z=\frac{X-\mu}{\sigma}

For X = 37:

z=\frac{37-46}{6}\\ z=-1.5

A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is

P(X\leq 37) = 0.0668=6.68\%

The probability is 0.0668 or 6.68%

3 0
3 years ago
How do you simplify square root of -36 all divided by 2 into 3i and -3i?
posledela

Answer:+3i or -3i

Step-by-step explanation:

±√(-36)=+√(-36) or -√(-36)

+√(-1)×√(36) or -√(-1)×√(36) √(-1)=i

+i×6 or -i×6=+6i or -6i

Dividing by 2 we get

+6i/2 or -6i/2=+3i or -3i

5 0
3 years ago
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nadya68 [22]

<em>Hey</em><em>!</em><em>!</em>

<em>Ques</em><em>tion</em><em>:</em><em> </em><em>The</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>three</em><em> </em><em>times</em><em> </em><em>'y'</em><em> </em><em>and</em><em> </em><em>1</em><em>1</em><em> </em><em>is</em><em> </em><em>3</em><em>2</em>

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<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

8 0
3 years ago
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