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Artemon [7]
1 year ago
6

A shipping box in the shape of a rectangular prism has a volume of 15,000

Mathematics
1 answer:
ELEN [110]1 year ago
7 0

Answer:

  • Option (B) <u>3</u><u>0</u><u>c</u><u>m</u><u>.</u>

Step-by-Step explanation:

Given:

Volume of Rectangular Prism is <u>1</u><u>5</u><u>,</u><u>0</u><u>0</u><u>0</u><u>c</u><u>m</u><u>³</u><u>.</u>

  • Length (l) ➠ <u>20 cm</u>
  • Width (w) ➠ <u>25 </u><u>cm</u>

We know that,

★<u> </u><u>Volume of Rectangular Prism = </u><u>whl</u> ★

Let "h" be the height.

➛ 25 × h × 20 = 15,000

➛ h × 20 × 25 = 15,000

➛ h × 500 = 15,000

➛ h = 15,000 ÷ 500

➛ h = 30

Thus, height of the box is <u>30 cm</u>.

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gavmur [86]

Answer:

y = \frac{3}{8} x + \frac{41}{8}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = \frac{7-4}{5+3} = \frac{3}{8}, hence

y = \frac{3}{8} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (5, 7 ), then

7 = \frac{15}{8} + c ⇒ c = 7 - \frac{15}{8} = \frac{41}{8}

y = \frac{3}{8} x + \frac{41}{8} ← equation in slope-intercept form


6 0
3 years ago
HOW many times can times 6 go into 59
andreyandreev [35.5K]
6 can go into 59, nine times. Therefore 9 times 6 equals 54
8 0
3 years ago
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WILL NAME BRAINLIEST-PLEASE DONT ANSWER IF YOU DONT KNOW
mojhsa [17]

Answer:

Infinite Solutions

Step-by-step explanation:

x + 2y = 10

6y = 3x - 30

To solve for x and y we use substitution method

Let's solve the first equation for x

x + 2y = 10

Subtract 2y on both sides

x = 10 - 2y

Now plug in x in second equation

6y = -3x + -30

6y = -3 (10-2y) - 30

6y = -30 + 6y - 30

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Both sides are the same, so both x and y have infinite solutions.

8 0
2 years ago
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By what percent will the fraction change if its numerator is increased by 25% and its denominator is increased by 20%? please an
d1i1m1o1n [39]
<h2>Answer:</h2><h2>The new fraction will chnage by 1.25 : 1.2 ratio, (i.e) = 1.04 %</h2>

Step-by-step explanation:

Let the fraction be represented as \frac{x}{y} where x is the numerator and y is the denominator

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   = 0.25 x

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The new fraction becomes  = \frac{x + 0.25 x}{y + 0.2 y}

= \frac{1.25 x}{1.2 y}

= (\frac{1.25}{1.2} ) \frac{x}{y}

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5 0
3 years ago
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cricket20 [7]
B) the one that has the sides 4 & 8 and 3 & 6.  

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one rectangle goes from a width of 4 and its length is doubled to a length of 8
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hope this helps
3 0
3 years ago
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