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ahrayia [7]
2 years ago
14

Explain why 82.5 + 8(0.25x) = 338.5 is equivalent to 82.5 + 2x = 338.5

Mathematics
2 answers:
VARVARA [1.3K]2 years ago
7 0

Answer:

Multiply 0.25x by 8

Step-by-step explanation:

82.5 + 8(0.25x) = 338.5

Multiply 0.25x by 8 we get,

8 × 0.25x = 2x

Thus, 82.5 + 2x = 338.5

<u>-TheUnknownScientist 72</u>

gtnhenbr [62]2 years ago
7 0

Commutative property states out that in multiplication, changing the order of the numbers still have the same product (the product remains the same)

So, we can rewrite 8(0.25x) as (8 x 0.25)x = 2x

So, 82.5 + 8(0.25x) = 82.5 + 2x

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Find the term that must be added to the equation x2−10x=1 to make it into a perfect square
adoni [48]

Answer:

25

Step-by-step explanation:

If you add 25 to both sides, you get

x^2-10x+25=26.

Now, you can simplify the left side into a perfect square

(x-5)^2=26

6 0
3 years ago
It is estimated that approximately 8.1% of Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation f
denis23 [38]

Answer:

Multiple answers

Step-by-step explanation:

Considering that 8.1% of Americans have the disease:

If our theoretical group is of 10,000. We know that the 8.1% of our group have diabetes, so we multiplify 10,000 × .081(the percentaje) = 810. This is the total of adults in our group that have diabetes.

Now:

  • Test Positive:
  1. We know that the test correctly diagnoses 95% of adults with diabetes. In our case the total of adults with diabetes is 810, so we multiplify 810 × .95(percentaje) = 769.50.  
  2. We know too that the test incorrectly diagnoses 3.5% of the adults. In our case the total of adults with diabetes is 810, so we multiplify 810 × .035(percentaje) = 28.35.
  3. The total of adults the test diagnoses positive with diabetes should be the correctly and incorrectly we calculate previously. 769.50 + 28.35 = 797.85
  • Test Negative:
  1. The total of test negative diagnoses should be the total of our group less the positive diagnoses. 10,000 - 797.85 = 9,202.15
  • Total do not have diabetes:
  1. The total of adults do not have diabetes is the total of our group less the total of adults in our group that have diabetes. 10,000 - 810 = 9190

We expect that only the 95% of test positive for diabetes have the disease.

  1. 810 × .95(percentaje) = 769.50.

We expect that only the 5% (100% - 95% of test positive) of the 8.1% of americans afflicted with diabetes of negative test actually have the disease. 8.1 × .05(percentaje) = .40%, 9,202.15 ×.004(percentaje) = 36.80.

The 3.5% of Americans who test positive will not have the disease because this is the percentaje that the test incorrectly diagnoses.

4 0
3 years ago
A population of 3000 people doubles in size every 10 years. Determine the population after 50 years.
RUDIKE [14]

Answer:

In 50 years Population is 96000 people.

Step-by-step explanation:

Let population be x

In the first 10 years

Population becomes 2x

In 20 years it becomes 4x

In 10n years it becomes 2^n x

Therefore

for n= 5

x = 3000

Population is 2⁵ (3000)

= 32(3000)

= 96000

Population becomes 96000

Hope it helps...

7 0
3 years ago
Which is the asymptote of the graph
julia-pushkina [17]

It's B

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7 0
3 years ago
Why can you use the constant of proportionality with any representation?
pantera1 [17]

Answer:

  1. The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.
3 0
2 years ago
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