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Lera25 [3.4K]
3 years ago
15

One number is three less than a second number. Six times the first is 6 more than 3 times the second. Find the numbers.

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Step-by-step explanation:

Given,

x = y - 3

Also,

6(y - 3) = 3y + 6

6y - 18 = 3y + 6

6y - 3y = 6 + 18

3y = 24

y = 24/3

y = 8

x = 8 - 3

x = 5

Therefore, the first number is 5 and the second number is 8.

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z>-4

Step-by-step explanation:

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3 years ago
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8th grade solving systems
Serhud [2]

Answer:

(x+22) + x = 88

Step-by-step explanation:

if x is how much your friend collected, then how much you collected would be x + 22 because you collected 22 more then her. and if you add both of those together to get how much you collected together (the total) you get 88. so x (your friends sea shells) plus x+22 (your sea shells) is 88. tell me if you also need help solving the actual equation

you have x+22 + x = 88

you combine like terms, in this case the Xs

and you get 2x + 22 = 88

then you subtract 22 to both sides because you want to get x alone

and you get 2x = 88 - 22

which is 2x = 66

then you divide by 2 on both sides

and you get x = 66/2

and you get x = 33

5 0
3 years ago
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10 years ago, there were 35 mountain lions and today there are 21. Find the percent of change.
charle [14.2K]

Answer:

40%

Step-by-step explanation:

I I think they were asking about percentage decrease.percentage decrease=to decrease over original price x 100%

4 0
3 years ago
According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.
UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

<em>Let </em>\hat p<em> = sample proportion of Americans who can order a meal in a foreign language</em>

The z-score probability distribution for sample proportion is given by;

          Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.06) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } } ) = P(Z > 0.85) = 1 - P(Z \leq 0.85)

                                                               = 1 - 0.80234 = <u>0.19766</u>

<em>Now, in the z table the P(Z  </em>\leq <em>x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.</em>

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0
4 years ago
a trunk is shaped like a rectangular prism and is 4 feet long and 1 and a half feet wide and 2 feet tall. what is the surface ar
Yanka [14]
Height is not measured in surface area as that is a 3D look so it is still LW meaning 4 times 1.5 which is 6
8 0
3 years ago
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