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2 years ago

(2/5) + ( -1/4). Show your work by using the “butterfly” method.

Mathematics

1 answer:

pashok25 [27]2 years ago

3 0

Answer:

0.15

Step-by-step explanation:

Step 1: Make sure the bottom numbers (the denominators) are the same

Step 2: Add the top numbers (the numerators), put that answer over the denominator

Step 3: Simplify the fraction (if needed)

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Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and

vova2212 [387]

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V1) and it is calculated using;

$V_1 = l * w * h$

$V_1 = lw h$

Since the pyramid has the same base area and height as the prism, the its dimension would be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V2) and it is calculated using;

$V_2 = \frac{1}{3}*(lwh)$

So, we have:

$V_1 = lw h$

$V_2 = \frac{1}{3}*(lwh)$

Substitute lwh for V1 in the second equation

$V_2 = \frac{1}{3}V_1$

Multiply both sides by 3

$3 * V_2 = \frac{1}{3}V_1 * 3$

$3 * V_2 = V_1$

Reorder

$V_1 = 3 * V_2$

$V_1 = 3 V_2$

<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>

3 0

2 years ago

Simplify your answer

Lelechka [254]

Answer:

Step-by-step explanation:

If 2u-6=4, let's solve for u.

Add 6 to both sides

2u-6+6 = 4+6

Simplify

2u = 10

Divide both sides by 2

u = 5

Now, we can solve u-5

5-5 = 0

8 0

2 years ago

Read 2 more answers

Suppose △NBG≅△WTS. What is the corresponding congruent part for each segment or angle?

Anna71 [15]

NG ( first and last letter of NBG) = WS ( first and last letter of WTS).

BG = TS

G = S

N =W

5 0

2 years ago

Read 2 more answers

A vehicle traveled at a speed of 54 kilometers per hour for 3 hours. Find the distance traveled.

Arada [10]

So, we need to multiply these values, since we are looking for distance.

$\frac{54km}{1hr}\times3hr=162km$

He travelled 162km.

Hope this helps!

4 0

3 years ago

3y+10x−54=0<br> 5y−2x−34=0<br>

Korvikt [17]

Answer:

8y + 8x + 0

Step-by-step explanation:

4 0

3 years ago