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3 years ago

How do I solve this 9x-(x-24)=2x-(-5+x)

1 answer:

7 0

Combine like terms
8x+24=x+5
subtract x from both sides

8x+24=x+5
-x -x
7x+24=5
subtract 24 from both sides
7x+24=5
-24 -24
7x = -19
divide 7 from both sides
7x = -19
7x/7 = -19/7

x= -19/7

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A group of students calculated their average score at a spelling bee. They realized that if one of them scored 9 more points, th

alukav5142 [94]

Answer: There are 4 students in the group.

Step-by-step explanation:

Let the number of students in the group be n

If one of them scored 9 more points , their average score would be 81 points.

So, our equation (1) will be

$\frac{\sum x+9}{n}=81\\\\\sum x+9=81n$

Similarly,

If one of them scored 3 points less, their average score would be 78 points.

So, our equation (2) will be

$\frac{\sum x-3}{n}=78\\\\\sum x-3=78n$

So, from equation (1) and (2) we get:

$81n-9=\sum x=78n+3\\\\81n-9=78n+3\\\\81n-78n=3+9\\\\3n=12\\\\n=\frac{12}{3}\\\\n=4$

Hence, there are 4 students in the group.

8 0

4 years ago

A linear function contains these points: (0,-1) & (3,8)

Elenna [48]

Answer:

slope: 3

y-intercept: (0, -1)

Find slope:

$\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

Here given points are: (0, -1), (3, 8)

$\rightarrow \sf slope : \dfrac{8-(-1)}{3-0} = \dfrac{9}{3} = 3$

When finding y-intercept, the value of x is 0. Here given y is -1 when x is 0.

y-intercept: -1 or (0, -1)

6 0

2 years ago

Read 2 more answers

Is it congruent or not ?

IRINA_888 [86]

Its congruent because of SSS, all sides are equal

4 0

3 years ago

Can somebody please help me with this problem

Alisiya [41]

Answer:

2π*2*3= 12π = 37.699

Step-by-step explanation:

surface area of a cylinder = 2 * π * radius * height

8 0

4 years ago

Name the angle in (4) different ways.

NikAS [45]

Answer:

um in languages or different angles

Step-by-step explanation:

5 0

3 years ago