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2 years ago

0.36(18)+0.04x=0.12(24+x)

Mathematics

2 answers:

Zielflug [23.3K]2 years ago

7 0

X=45 would be the answer

zhuklara [117]2 years ago

3 0

Answer:

x = 45

Step-by-step explanation:

0.36(18) + 0.04x = 0.12(24 + x)

6.48 + 0.04x = 2.88 + 0.12x

0.04x - 0.12x = 2.88 - 6.48

-0.08x = -3.6

0.08x = 3.6

x = 3.6/0.08

x = 45

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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

If the volume of a container is 4*4*4 and you take off 8 what is the volume of the container

IRINA_888 [86]

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ The volume of the container is 52 units.

4*4*4 = 64

64 - 8 = 52

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

5 0

3 years ago

What is the slope of this line?

Llana [10]

Answer:

-3/2

Step-by-step explanation:

you can use the rise over run method to find the slope of this line

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3 years ago

Cessalie drew a map of the Grand Canyon. In the scale Cessalie used for the map, 8 centimeters represents 40 kilometers. The act

storchak [24]

.........The answer is C

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3 years ago

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The anithistamine Benadryl is often prescribed for allergies. A typical dose for a 100-pound person is 25 mg every six hours. Fo

Firdavs [7]

Answer:

56 chewable tablets

280mL liquid Benadryl

Step-by-step explanation:

For the first part:

First we need to find out how many tablets of 12.5mg would we need per dose.

1 dose is 25 mg and the tablets are in 12.5 mg form.

$1 dose = \dfrac{25mg}{12.5mg} = 2$

That would mean you would need 2 tablets per dose.

Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours. Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.

Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.

4 x 7 = 28 times

Lastly, you multiply the number of times a week by the number of tablets per dose.

28 times a week x 2 tablets = 56 tablets.

For the second part:

12.5 mg/5mL

The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.

$\dfrac{12.5mg}{5mL}$ x $\dfrac{2}{2}$ = $\dfrac{25mg}{10mL}$

This means that for every 25 mg, you will need to give 10mL.

Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.

10mL x 28 = 280mL

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3 years ago