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natali 33 [55]
2 years ago
10

Mary bought 4 gallons of milk for $10.00. Jill bought 2.5 gallons for $6.00.

Mathematics
1 answer:
RoseWind [281]2 years ago
3 0

Step-by-step explanation:  

In order to find the better buy, we must find the cheaper unit price or price per gallon.  To find the price per gallon, divide the cost by the number of gallons.

Mary

Mary bought 4 gallons for $11.

The price is $11 and the gallons are 4.

Jill

Jill bought 2.5 gallons for $7.25

The price is $7.25 and the gallons are 2.5

Better buy

Mary paid $2.75 per gallon and Jill paid $2.90 per gallon. 2.75 is less than 2.90, so Mary had the better buy.

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Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 < x < 4.5}
kotykmax [81]

<u><em>Answer:</em></u>

{x | x = 0.5 or x = 4.5}

<u><em>Explanation:</em></u>

<u>Before we begin, remember that:</u>

The modulus gives the positive value of what's inside it.

<u>This means that:</u>

|a| = |-a| = a

<u>Now, for the given, we have:</u>

|2x-5| = 4

<u>From the above rule, we can deduce that:</u>

<u>either:</u>

2x - 5 = 4

2x = 4 + 5 = 9

x = 4.5 ............> first solution

<u>Or:</u>

2x - 5 = -4

2x = 5-4 = 1

x = 0.5 ..........> second solution

<u>Now, we check:</u>

<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified

<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified

Hope this helps :)


6 0
3 years ago
Which first step for solving the given system using substitution results in an equation without fractions? Solve for x in the fi
lianna [129]

Answer:

solve for x in the second equation is correct

Step-by-step explanation:

Here is the complete question

Which first step for solving the given system using substitution results in an equation without fractions?

(2x+6y=7

(6x + 18y = 24.... 2

Solve for x in the first equation,

Solve for y in the first equation,

Solve for x in the second equation

The best equation to she will be equation 2 since all the coefficients are end numbers

Let us make x t subject f the formula from equation 2;

From 2: 6x+18y = 24

Subtract 18y from both sides

6x+18y-18y = 24-18y

6x = 24-18y

Divide through by 6

6x/6 = 24/6 - 18y/6

x = 4-3y.

You can see that the resulting expression of x is not a fraction. Hence solve for x in the second equation is correct

5 0
3 years ago
Read 2 more answers
From midnight to 6 am , the temperature rose 8C. at 6am, the temperature was -20c. what was the temperature at midnight?
murzikaleks [220]
Take -20 - 8 = -28 C. the temperature at midnight
7 0
3 years ago
Steve's scores on 6 of his tests were 92, 78, 86, 92, 95, and 91. If he took a seventh test and raised the mean of his scores by
monitta

Answer:

96

Step-by-step explanation:

First we need to know the mean of the Steve's scores on 6 of his tests. Given the six scores as 92, 78, 86, 92, 95, and 91.

Mean = sum of the scores/Total test taken

Mean = 92+78+86+92+95+ 91/6

Mean = 534/6

Mean = 89

If he took the seventh test and the mean score is raised by 1 them the new mean will be expressed as;

New mean = 92+78+86+92+95+ 91+x/7 = 89+1

Where x is the new score. Note that of a new score is added, the total year taken will also change to 7

To get x;

92+78+86+92+95+ 91+x/7 = 89+1

92+78+86+92+95+ 91+x/7 = 90

534+x/7 = 90

Cross multiply

533+x = 90×7

533+x = 630

x = 630-534

x = 96

Hence the score of the seventh test is 96

8 0
3 years ago
Please help fast! 25 points and brainliest!!
Firlakuza [10]

Answer:

The answer is

<h2>9x³ - 11x² - 7x</h2>

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

\frac{f(x)}{g(x)}  =  \frac{ {36x}^{5} -  {44x}^{4}  -  {28x}^{3}  }{ {4x}^{2} }  \\  \\  =  \frac{ {36x}^{5} }{ {4x}^{2} }  -  \frac{ {44x}^{4} }{ {4x}^{2} }  -  \frac{ {28x}^{3} }{ {4x}^{2} }  \\  \\  =  {9x}^{3}  -  {11x}^{2}  - 7x

Hope this helps you

3 0
3 years ago
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