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EleoNora [17]
3 years ago
7

(4.3*10^4)^2 in scientific notation

Mathematics
1 answer:
xeze [42]3 years ago
3 0
1.849x10^9 or 1.849e9
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David cast a shadow 42" long at the same place and time in Emma cast a shadow 28" long. David is 66" tall. What is Emma's height
Nikolay [14]

ANSWER

Emma is 44" tall

EXPLANATION

We have that David cast a shadow 42 inches long and he is 66 inches tall.

At that same place and time, Emma cast a shadow of 28 inches.

Since they are at the same spot and time, we can conclude that the ratio of their height to shadow must be the same.

Let Emma's height be x.

The ratio of David's shadow to height is:

42 : 66 or 42 / 66

For Emma, it is:

28 : x or 28 / x

That means that:

\begin{gathered} \frac{42}{66}\text{ = }\frac{28}{x} \\ \text{Solve for x by cross-multiplying:} \\ 42\cdot\text{ x = 66 }\cdot\text{ 28} \\ x\text{ = }\frac{66\cdot\text{ 28}}{42} \\ x\text{ = 44 inches} \end{gathered}

So, Emma is 44" tall.

3 0
11 months ago
The average age of 4 children is 15 yrs . if the ages of their parents are added , their average age is 25 .find the age of thei
WITCHER [35]

The age of the father is 57 years old

<h3>Calculating mean of a population</h3>

Total age = Average age x Population

Average of the four children = 15

Population = 4

Total age of the four children = 15 x 4

Total age of the four children = 60 years

If the parents are added:

Population = 6

Average age = 25

Total age = 25 x 6

Total age = 150 years

Total age of the parents = 150 - 60

Total age of the parents = 110 years

The father is 4 years older than his wife

Let the age of the father be x

The age of the wife = x - 4

x + x - 4 = 110

2x = 114

x = 114/2

x = 57

Therefore, the age of the father is 57 years old

Learn more on The mean of numbers here: brainly.com/question/20118982

#SPJ1

6 0
2 years ago
What is the value of x in the equation -5/4x=-160
Ierofanga [76]

\\   \sf \longmapsto \:  -  \frac{  5}{4} x =  -  160 \\ \\   \sf \longmapsto \:  \frac{5}{4} x = 160 \\ \\   \sf \longmapsto \: x = 160 \times  \frac{4}{5}  \\ \\   \sf \longmapsto \: x = 32 \times 4 \\ \\   \sf \longmapsto \: x = 128

4 0
2 years ago
Read 2 more answers
Graph the equation y = k x + 1 if it is known that the point M belongs to it:<br> M (2, −7)
Elenna [48]

Answer:y = k x + 1

(1,3)

3 = k(1) + 1

2 = 1k

k = 2

Step-by-step explanation:

7 0
3 years ago
HELP ASAP ILL GIVE YOU 13 points
lubasha [3.4K]

Answer:

the domain and range can be found by horizontal and vertical test

Step-by-step explanation:

6.B

7.D

8.A

9.C

3 0
2 years ago
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