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3 years ago

X=y+10 and x=2y+3 solve by substitution needing x and y

Mathematics

2 answers:

Svetach [21]3 years ago

7 0

Plug x= y+10 in x= 2y+3, we have:
y+10= 2y+3
⇒ 10- 3= 2y-y
⇒ 7= y

x= y+ 10= 7+ 10= 17

Final answer: x= 17, y= 7~

Alja [10]3 years ago

5 0

The two equations given in the question are
x = y + 10
And
x = 2y + 3
Now let us substitute the value of x in the second equation with that of the first equation. We get
x = 2y + 3
y + 10 = 2y + 3
y - 2y = 3 - 10
- y = - 7
y = 7
Now putting the value of y in the first equation, we get
x = y + 10
= 7 + 10
= 17
So the value of x comes out to be 17 and the value of y comes out to be 7.

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3 years ago

There are 4 Russian dolls. The largest doll is 12 inches tall. The height of each of the other dolls is 7/10 the height of the n

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3 years ago

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A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 40 people who hav

Kitty [74]

Answer:

The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.685

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.685\frac{60}{\sqrt{40}} = 16$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 320 - 16 = 304 minutes

The upper end of the interval is the sample mean added to M. So it is 320 + 16 = 336 minutes

The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes

7 0

4 years ago

The number of boxes of food that six volunteers collected for the food drive is given in the table below.

shutvik [7]

Answer:

The mean absolute value is 7.7, when rounded to the nearest tenth.

Step-by-step explanation:

1.) To get the mean absolute deviation you have to find the mean first:

32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24

2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:

32 - 24 = | 8 | → 8
35 - 24 = | 11 | → 11
20 - 24 = | -4 | → 4
16 - 24 = | -8 | → 8
28 - 24 = | 4 | → 4
13 - 24 = | -11 | → 11

3.) Then, you have to find the mean of the absolute values:

8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667‬ = 7.7

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4 years ago

3x/4 =6<br> Please help me ASAP (:

ohaa [14]

Answer:

x=8

Step-by-step explanation:

3x/4=6

3x=4*6

3x=24

x=24/3

x=8

hope this helps!

3 0

3 years ago