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You can buy an 8 pack of paper towels for \$7.92 or 12 pack for \$11.64, which is a better buy?

Divide \$7.92 by 8 and then divide \$11.64 by 12 and see which has the lowest answer.

The first option has a price of \$0.99 for one paper towel, and the second option has a price of \$0.97 for one paper towel.

The second option is the better buy.

Related Questions

Posted in Mathematics

The following data values represent a population. What is the variance of the values? 8, 10, 14, 12 A.22 B.11 C.5 D.10

Variance is calculated by taking the differences between each number in the set and the mean, squaring the differences (to make them positive) and dividing the sum of the squares by the number of values in the set. We do as follows:

Mean = 8+10+14+12 / 4 = 11

Variance = (8-11)^2 +
(10-11)^2 + (12-11)^2 + (14-11)^2 / 4
Variance = 5 <-------OPTION C

Posted in Mathematics

Which is the better buy, 6 bagels for \$3.29 or 8 bagels for \$4.15?

Well, we'd want to calculate the price of 1 bagel first.

To see which is better: divide \$3.29 by 6 and then divide \$4.15 by 8 and see which has the lowest answer.

The first option rounds off to \$0.55 for one bagel. The second option rounds off to \$0.52 for one bagel.

The second option is the best.

Posted in Mathematics

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞)

The solution to the problem is as follows:

solve for x :

−3(6−2x)≥4x+12

−18+6x≥4x+12

2x≥30

x≥15

So the answer is D ) 15 to +infinity

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

Identify the expression as a numerical expression or a variable expression. For a variable expression, name the variable. 1 × 12 A. numerical expression B. variable expression; a is the variable. C. variable expression; there is no variable. D. variable expression; l is the variable.

The best and most correct answer among the choices provided by the first question is the first choice or letter A.

The expression above is an example of a numerical expression.

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b. A. –7 B. 7 C. 14 D. 32

The best and most correct answer among the choices provided by your question is the third choice or letter C.

If ST = 21, SP = 3b – 11, and PT = b + 4, the value of b would be 14.

I hope my answer has come to your help. God bless and have a nice day ahead!

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Sophia is saving money for a new bicycle. The bicycle will cost at least \$623. Sophia makes \$8.22 per hour. Which inequality could be used find the number of hours Sophia needs to work to make enough money to buy a new bicycle? \$8.22h > \$623 \$8.22h ≤ \$623 \$8.22h ≥ \$623 \$8.22h < \$623

C.\$ 623

Step-by-step explanation:

We are given that Sophia is saving money for a new bicycle.

The bicycle will  cost atleast \$623.

Sophia makes \$8.22 per hour.

We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.

Let Sophia works h hours to make enough money to buy a new bicycle.

Sophia makes money per hour =\$8.22

Total money made by Sophia in h hours =

According to question

\$623

Hence, option C is true.

Posted in Mathematics

Solve for x. round to nearest tenth if needed. 1. 7r-7=2r+18 a.r=-5 b.r=5 c.r=2.2 d.r=1.2 2. 2x+12=18-x a.x=3 b.x=10 c.x=6 d.x=2 3. 8x-3=15x+18 a.x=-3 b.x=3 c.x=2.1 d.x=0.9 4. 6y-6=4y+16 a.y=2.2 b.y=-2.2 c.y=11 d.y=5 5. 3(x-4)=5(x+2) a.x=11 b.x=-11 c.x=1 d.x=-1

1)  The answer is: [B]: r = 5 .
__________________________
Explanation:
__________________________
Given: 7r − 7 = 2r + 18 ; Round your answer to the nearest tenth, if necessary.
____________________________
Since "r" is the only variable given, let us assume we want to solve for "r" (instead of "x").
___________________________
→ Subtract "2r" from EACH SIDE of the equation; and & add "7" to EACH SIDE of the equation:
_____________
→ 7r − 7 − 2r + 7 = 2r + 18 − 2r + 7 ;  to get: → 5r = 25 ;
_____________
→ Now, divide EACH SIDE of the equation by "5"; to isolate "r" on one side of the equation; and to solve for "r" :
______________
→ 5r / 5 = 25 / 5 → r = 5 → which is: "Answer choice: [B]".
_________________
Let us check our answer, by plugging in "5" for "r" in the original equation:
_________________
→ 7r − 7 = 2r + 18 ;  →  7(5) − 7 =? 2(5) + 18? ;
______________________
→ 35 − 7 =? 10 + 18 ?;     → 28 =? 28? Yes!
______________________
2) The answer is: [D]: x = 2 .
_____________
Explanation:
_____________
Given: 2x + 12 = 18 − x ; Solve for "x" (round to nearest tenth, if necessary).
_______________
→ Add "x" to EACH SIDE of the equation, & subtract "12" from EACH SIDE of the equation:  → 2x + 12 + x − 12 = 18 − x + x − 12 ;
______________
→ To get: 3x = 6 ;  → Divide EACH SIDE of the equation by "3";
to isolate "x" on one side of the equation; and to solve for "x":
_____________
→ 3x / 3 = 6 / 3 ; → x = 2 ; which is: "Answer choice: [D]".
______________
Let us check our answer, by plugging in "2" for "x" in the original equation:
________________
→ 2x + 12 = 18 − x ; → 2(2) + 12 =? 18 − 2 ?
________________
→ 4 + 12 =? 18 − 2 ? ;   → 16 =? 16?  Yes!
________________________________
3)  The answer is: [A]: x = -3 .
_____________
Explanation:
________________
Given:  8x − 3 = 15x + 18 ; Solve for "x". Round your answer to the nearest tenth, if necessary.
_________________
→ Subtract "8x" from EACH SIDE of the equation, & add "3" to EACH SIDE of the equation:
_______________
→ 8x − 3 − 8x + 3 = 15x + 18 − 8x + 3 ; to get:
_______________
→ 0 = 7x + 21 ; → Subtract "21" from EACH SIDE of the equation;
_______________
→ 0 − 21 = 7x + 21 − 21 ; to get:
_______________
→  -21 = 7x ; Now divide EACH SIDE of the equation by "7";
to isolate "x" on one side of the equation; & to solve for "x":
_______________
→ = -21 / 7 = 7x / 7 ; →  -3 = x ; which is "Answer choice: [A]."
_________________
Let us check our answer, by plugging in "-3" for "x" in the original equation:
________________
→  8x − 3 = 15x + 18 ;  → 8(-3) − 3 =?  15(-3) + 18 ?;
________________________
→ -24 − 3 =?  -45 + 18 ? ;   →  -27 =? -27?  Yes!
___________________________
4)  The answer is: [C]: y = 11 .
_____________
Explanation:
____________
Given: 6y − 6 = 4y + 16 ; Solve for "y"; Round to the nearest tenth, if necessary.
____________
(Note: Since "y" is the only variable given; assume we are to solve for "y" instead of "x").
____________
→ Subtract "4y" from EACH SIDE of the equation, & add "6" to EACH SIDE of the equation; → 6y − 6 − 4y + 6 = 4y + 16 − 4y + 6 ; to get:
_______________
→ 2y  = 22 ; Now, divide EACH SIDE of the equation by "2"; to isolate "y" one side of the equation; and to solve for "y" ;
_______________
→ 2y / 2 = 22 / 2 ; →  y = 11 → which is "Answer choice: [C]".
_______________________________
Let us check our answer, by plugging in "11" for "y" in the original equation:
___________________
→  6y − 6 = 4y + 16 ; → 6(11) − 6 =? 4(11) + 16 ?
_______________________
→ 66 − 6  =? 44 + 16 ?  → 60 =? 60 ?  Yes!
__________________
5)  The answer is: [B]: x = -11 .
_____________________
Explanation:
_________________
Given: 3(x − 4) = 5(x + 2) ; Solve for "x". Round to the nearest tenth, if necessary.
___________
→Note the "distributive property of multiplication":
_____________
a*(b + c) = ab + ac ;  and: a*(b − c) = ab − ac ;
_______________
→ Let us expand EACH SIDE of our given equation.
____________
3(x − 4) = (3*x)  − (3*4) = 3x − 12;
______________________________
→Now let us expand the "right-hand side" of the given equation:
____________
→  5(x + 2) = (5*x) + (5*2) = 5x + 10 ;
______________
→Now, we can rewrite the original equation:
_______________
→ 3(x − 4) = 5(x + 2) ; by substituting the expanded values for EACH SIDE of the question:   →  3x − 12 = 5x + 10 ;
__________________
→ Subtract "3x" from EACH SIDE of the equation; and add "12" to EACH SIDE of the equation: →  3x − 12 − 3x + 12 = 5x + 10 − 3x + 12 ; to get:
________________
→  0 = 2x + 22;  → Now subtract "22" from EACH SIDE of the equation:
______________
→  0 − 22 = 2x + 22 − 22 ; to get:  →  -22 = 2x ;
__________
→ Divide EACH SIDE of the equation by "2"; to isolate "x" on one side of the equation; & to solve for "x" ;
_____________
→  -22 / 2 = 2x /2 ;  →  -11 = x ; which is "Answer choice: [B]".
______________
Let us check our answer, by plugging in "-11" for "x" in the original equation:
___________
→ 3(x − 4) = 5(x + 2) ; →  3(-11 − 4) =? 5(-11 + 2) ? ;
_______________________
→3(-15) =? 5(-9) ? ; → -45 =? -45 ?  Yes!
_____________________________________________

Posted in Mathematics

So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!

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Posted in Mathematics

12 meters into centimeters

We Know, 1 m = 100 cm
hen, 12 m = 100 * 12 = 1200 cm

Hope this helps!

Posted in Mathematics

What number is in the tenths place? 123.456

The 2 because starting from left to right it is hundreds hundreds, ten's, ones

Posted in Mathematics

(0x6) = 0
0+12 = 12
3-1 = 2
12 divided by 2 =6.

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Posted in Mathematics

What is 125 in exponential form?

Number = 125
Here, ∛125 = 5
so, in exponential form, it would be: 5³

Hope this helps!

Posted in Mathematics

5x-3y=12 what is the x-intercept

Posted in Mathematics

Membership in the fishing club went from 120 members last year to 87 members this year. What was the percent of decrease in membership?

It would be: 87/120 * 100 = 72.5

Percentage decrease = 100 - 22.5 = 27.5

Hope this helps!

Posted in Mathematics

125% of what number is 264

Let, the number = x
x * 125 / 100 = 264
x = 264*100 / 125
x = 26400/125
x = 211.2

Hope this helps!

Posted in Mathematics

What is 1626 divided by 12 as a mixed number

It would be: 1626 / 12 = 135.5 = 135 1/2

Hope this helps!

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Posted in Mathematics

Paper cost \$49 for 10 reams. How much for 1 ream?

For 10 ream, it's cost = \$49
So, for 1 ream, it would be: \$49/10 = \$4.9

Hope this helps!

Posted in Mathematics

Is 3/4 equivalent to 12/15

For this, you have to reduce the larger fraction, which is 12/15
After reduction, it would be: 4/5 which is not equivalent to 3/4

4/5 ≠ 3/4

Hope this helps!

Posted in Mathematics

Give 3 ordered pairs that satisfy the equation y=12x

To find ordered pairs that fit this equation, you just have to choose an x-value then record the answer for your y-value. you can literally go for anything you want, but it's easiest to pick smaller values:

when x = 1...
y = 12(1)
y = 12
ordered pair: (1, 12)

when x = 0...
y = 12(0)
y = 0
ordered pair: (0, 0)

when x = 2...
y = 12(2)
y = 24
ordered pair: (2, 24)

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Posted in Mathematics

3 ordered pairs that satisfy the equation y=12x

(0, 0), (1, 12), (2, 24)
x= 0 y=12*0 y=0
x=1 y=12*1 y=12
x=2 y=12*2 y=24

Posted in Mathematics

11/12 - 5/8 Write your answer as a fraction in simplest form.

11/12 - 5/8 = 22-15 / 24 = 7/24