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maxonik [38]
3 years ago
15

a movie is three hours long. if this duration is multiplied by the conversion factor 60 how will the length of the 1 movie be ex

pressed?
Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
It's a total of one-eighty
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Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
Suppose that of all babies born in a particular hospital are girls. If babies born in the hospital are randomly selected, what i
mario62 [17]

Answer:

100%

Step-by-step explanation:

If all the babies born in that hospital are girls then if randomly selected they will all be girls because there are no boys even at that hospital.

5 0
3 years ago
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm cubed, find the volume o
irina1246 [14]

Answer:

volume = 1809 cm³

Step-by-step explanation:

The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:

If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.

ratio of height = 1/3

ratio of volume = (1/3)³ = 1/27

volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x

where

x = volume of the larger cylinder

x = 27 × 67

x = 1809  cm³

volume = 1809 cm³

5 0
4 years ago
translate into an algebraic expression: 120 is decreased by d% and increased by 25%. what is the result
s2008m [1.1K]

Answer:

150(1-x)

Step-by-step explanation:

120 is decreased by d%

Let x = d%

120 - 120*x

120(1-x)

Then it is increased by 25%

(120 (1-x)) +(120 (1-x))*.25

(120 (1-x)) +(30 (1-x))

150(1-x)

3 0
2 years ago
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Which of the following is false?
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The answer i believe is picture C
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