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Amiraneli [1.4K]

3 years ago

7

Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFrac

tion x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same?

2 answers:

seraphim [82]3 years ago

6 0

Answer:

50

Step-by-step explanation:

no need

Annette [7]3 years ago

5 0

Answer:Because both result in the equation 8x = 400 which simplifies to 50.

Step-by-step explanation:

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22. Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person

dmitriy555 [2]

The answer to 22 is C) One person caught fewer that 3 fish.

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3 years ago

PLEASE HELP SOLVE THIS!!!!!!!!!!!

Sphinxa [80]

9514 1404 393

Answer:

a) yes; 12/15/17 ~ 20/25/x; SAS

b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

12/15/17 ~ 20/25/x

__

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

x = 17/12 · 20 = 340/12

x = 28 1/3

4 0

3 years ago

In a genetics experiment on peas, one sample of offspring contained green peas and yellow peas. Based on those results, estimate

dem82 [27]

Complete Question

In a genetic experiment on peas, one sample of offspring contained 436 green peas and 171 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected? The probability of getting a green pea is approximately: Is the probability reasonably close to 3/4?

Answer:

The probability is $P(g) =0.72$

Yes the result is reasonably close

Step-by-step explanation:

From the question we are told that

The number of of green peas is $g = 436$

The number of yellow peas is $y = 171$

The sample size is $n = 171 + 436 = 607$

The probability of getting an offspring pea that is green is mathematically represented as

$P(g) = \frac{g}{n}$

$P(g) = \frac{436}{607}$

$P(g) =0.72$

Comparing $P(g) =0.72$ to $\frac{3}{4} = 0.75$ we see that the result is reasonably close

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