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zavuch27 [327]
4 years ago
6

PLEASE ANSWER ASAP!!! ANSWER MUST MUST MUST MMMUUUUSSSSSTTTTTT BE WITH AN EXPLANATION IN ORDER TO GET POINTS AND THE BRAINLIEST

ANSWER!!!
Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas?



A.


8 ft by 5 ft by 6 ft;
5 ft by 6 ft by 8 ft


B.


8 ft by 5 ft by 6 ft;
10 ft by 8 ft by 3 ft


C.


15 ft by 8 ft by 2 ft;
6 ft by 4 ft by 15 ft


D.


12 ft by 6 ft by 5 ft;
8 ft by 10 ft by 3 ft
Mathematics
1 answer:
Gelneren [198K]4 years ago
3 0
V=LWH
SA=2(LW+LH+WH)
V=240
first check that they are 240 volume
multiply numbers they should equal 240

the first one (A) can be eliminated since the dimentions are the same and therefor the surface areas are the same

2nd one check so far

3rd one (C) 6*4*15=360 which is wrong so eliminate this one

4th (d) 12*6*5=360 which is not 240 so eliminate


answer is B
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15. Solve for the specified variable:<br> -<br> х<br> +<br> 7 8<br> - 10; for y.
Andreyy89

Answer:

y=80-\frac{8x}{7}

Step-by-step explanation:

15). Given equation is,

     \frac{x}{7}+ \frac{y}{8}=10

     Multiply the equation by 8,

     8(\frac{x}{7}+ \frac{y}{8})=10\times 8

     \frac{8x}{7}+y=80

     Subtract \frac{8x}{7} from both the sides of the equation,

     \frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}

     y=80-\frac{8x}{7}

     Therefore, value of the variable 'y' will be,

     y=80-\frac{8x}{7}

3 0
3 years ago
Can someone please help
andre [41]

Answer:

x ≥ 1  (how to graph is listed below)

Step-by-step explanation:

To find where we need to plot the line, we first need to solve the inequality for x:

-2x - 3 ≤ -5

(Add three to both sides)

-2x ≤ -2

(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)

x ≥ 1

To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign.     ex. ≥, ≤)

Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)

8 0
3 years ago
How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

0.1 <em>x</em> = 6

<em>x</em> = 6/0.1 = 60 gal

6 0
4 years ago
Brianna had a garden box in her back yard that is 8 feet by 12 feet.This summer she decides that it is too big and wants to redu
nexus9112 [7]
It is 48 b/c you multiply 8*12 which you get 96. then divide it by 2 or you can multiply it by 1/2.

Have a good day,
Den :)
7 0
3 years ago
A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per
eduard

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X is the sample mean (18 hours)
  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=\frac{18-20}{\frac{10}{\sqrt{144} } }=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

4 0
3 years ago
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