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Soloha48 [4]
3 years ago
13

The sum of (-9) and a number (n) is multiplied by 1/2. the result is 20. what is the number?

Mathematics
2 answers:
Fittoniya [83]3 years ago
7 0

Answer:

49

Step-by-step explanation:

Sum means add

-9+n

Multiply this by 1/2

1/2(-9+n)

This is equal to 20

1/2(-9+n) = 20

Solve

Multiply each side by 2 to get rid of the fraction

2*1/2(-9+n) = 20*2

-9+n = 40

Add 9 to each side

-9+9 +n = 40+9

n = 49

OLga [1]3 years ago
6 0

Answer:

Step-by-step explanation:

1/2(-9+n)=20

n=40+9

n=49

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ratelena [41]

Answer:

The number of points won by the first child was 37 points

The number of points won by the second child was 119 points

The number of points won by the third child was 624 points

Step-by-step explanation:

<u><em>The question in English is</em></u>

In a computer game, three children won together 780 points. The second child gained 3 times more points than the first and 8 more points, the third child gained four times more points than the first two in one place. How many points did each child earn

Let

x ----> number of points won by the first child

y ----> number of points won by the second child

z ----> number of points won by the third child

we know that

three children won together 780 points

so

x+y+z=780 ----> equation A

The second child gained 3 times more points than the first and 8 more points

y=3x+8 ----> equation B

the third child gained four times more points than the first two in one place

z=4(x+y) ----> equation C

Solve the system by substitution

step 1

substitute equation B in equation C

z=4(x+3x+8)

z=16x+32 ----> equation D

step 2

substitute equation D and equation B in equation A

x+(3x+8)+(16x+32)=780

step 3

solve for x

20x+40=780\\20x=740\\x=37

step 4

Find the value of y

y=3(37)+8=119

step 5

Find the value of z

z=16(37)+32=624

therefore

The number of points won by the first child was 37 points

The number of points won by the second child was 119 points

The number of points won by the third child was 624 points

4 0
3 years ago
A standardized variable always has a mean of​ _______ and a standard deviation of​ _______. b. The​ z-score corresponding to an
Feliz [49]

Answer:

Step-by-step explanation:

We know that normal distribution as special characteristics such as symmetry, unimodal, no skewness, mean =median=mode, etc

A standardized variable for normal variable X is

Z = \frac{x-\mu}{\sigma} will be normal with mean =0 and sigma =1

The probability will be divided equally on either side of the mean =0 i.e. y axis

Hence the answers would be

A standardized variable always has a mean of​ __0_____ and a standard deviation of​ ___1____. b. The​ z-score corresponding to an observed value of a variable tells you​ ____the std normal score.___. c. A positive​ z-score indicates that the observation is​ __to the right ____ the​ mean, whereas a negative​ z-score indicates that the observation is​ __to the left_____ the mean

6 0
3 years ago
How do I solve for X 2x - 7 = 9
max2010maxim [7]

Answer:

x = 8

Step-by-step explanation:

2x - 7 = 9

Add 7 to each side

2x-7+7 = 9+7

2x = 16

Divide each side by 2

2x/2 = 16/2

x = 8

5 0
4 years ago
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