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AfilCa [17]
3 years ago
10

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a h

eight of 3 1/2
inches. What is the surface area?
Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

Area = 138in^2

Step-by-step explanation:

Given

L = 9; W =3; H =3\frac{1}{2}

Required

The surface area

This is calculated as:

Area = 2(LW + LH + WH)

So:

Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})

Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})

Area = 2*69

Area = 138in^2

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The prism is completely filled with 1750 cubes that have edge length of 1/5 ft. What is the volume of the prism? Enter your answ
IgorC [24]

Answer:

14 ft³

Step-by-step explanation:

First, find the volume of a single cube: V = s³, where s = side length

V = s³; s = 1/5

V = (1/5)³

V = 0.008 ft³

**Note: (1/5)³ is equal to 1/125 as a fraction. I put it down in decimal form because it's easier for me to work with decimals.**

Now, to find the volume of the prism (which is <u><em>completely</em></u> filled with cubes), multiply the volume of one cube by the total number of cubes: 1750.

(1750)(0.008)

14 ft³

The volume of the prism is 14 ft³.

Hope this helps!

8 0
3 years ago
What is the relationship between partitions and number series
vovangra [49]
A sum of positive natural numbers adding up to n is called a partition of n. For instance, 1+2+4 is a partition of 7. As none of the summands 1, 2, 4 are equal, this is called a partition into unequal parts. Does this help? Because this is all I know :( 
5 0
3 years ago
10. Jan purchased 140 shares of stock in the ABC Company at a price of $18.75 per share. During the
andre [41]

\bold{\huge{\orange{\underline{ Solution }}}}

\bold{\underline{ Given :- }}

  • <u>Jan </u><u>purchased </u><u>1</u><u>4</u><u>0</u><u> </u><u>shares </u><u>of </u><u>stock </u><u>in </u><u>ABC </u><u>company </u><u>at </u><u>a </u><u>price </u><u>of </u><u>$</u><u>1</u><u>8</u><u>.</u><u>7</u><u>5</u><u> </u><u>per </u><u>share </u>
  • <u>During </u><u>the </u><u>next </u><u>3</u><u> </u><u>days</u><u>, </u><u> </u><u>the </u><u>value </u><u>of </u><u>share </u><u>declined </u><u>by </u><u>$</u><u>1</u><u>.</u><u>0</u><u>0</u><u> </u><u>,</u><u> </u><u>$</u><u>1</u><u>.</u><u>7</u><u>5</u><u> </u><u>and </u><u>$</u><u>1</u><u>.</u><u>5</u><u>0</u>

\bold{\underline{ To \: Find :- }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>a </u><u>share </u><u>of </u><u>ABC </u><u>stock </u><u>at </u><u>the </u><u>end </u><u>of </u><u>3</u><u> </u><u>days </u>

\bold{\underline{ Let's \: Begin :- }}

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

Cost of 1 share of ABC company = $18.75

<u>Therefore</u><u>, </u>

Cost of 140 shares purchased by Jan in the ABC company

\sf{ = 140 × 18.75 }

\sf{ = 2625\: dollars }

<u>Now</u><u>, </u>

For next 3 days, the value of share declined

\sf{ = (1 + 1.75 + 1.50)dollars }

\sf{ = 4.25 \: dollars }

<u>Therefore</u><u>, </u>

The value of shares after 3 days will be

\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}

\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}

\bold{\red{ = 18.75\: dollars}}

Hence, The value of share after 3 days will be $18.75 .

5 0
3 years ago
Solve −4(x + 10) − 6 = −3(x − 2). (1 point)
AURORKA [14]

Hey there!!

Given equation :

... -4 ( x + 10 ) - 6 = -3 ( x - 2 )

Using the distributive property :

... -4x - 40 - 6 = -3x + 6

Combining like terms :

... -4x - 46 = -3x + 6

Adding 46 on both sides :

... -4x = -3x + 52

Adding 3x on both sides :

... -x = 52

... x = -52

Hope helps!

8 0
3 years ago
I need help! <br> *accidentally clicked 64 don’t know if it’s right tho*
Murljashka [212]

Answer:

72

Step-by-step explanation:

8 times 9 is 72

8 0
2 years ago
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