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3 years ago

5

Solve. 9x + 4 = 3x + 9 What would the answer be?

1 answer:

Evgen [1.6K]3 years ago

3 0

Answer:

x = 5/6

Step-by-step explanation:

First, you would take 9x+4=3x+9 and cross out "3x" and change 9x to "6x". Now you have something like this: 6x+4=9. 9 minus 4 equals 5. So, 6x=5. To figure out x, we have to take 5 and divide by 6, to get x=5/6.

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(7)/(3) of it is 5 (5)/(6)

slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

$\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}$

7 0

2 years ago

Kyle received the following course grades for 10 (three-credit) courses during his freshman year:

timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

(c) The mean of the relative frequency distribution is 0.3333.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

$Average=\frac{\sum x}{n}$

$Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}$

$Average=2.5$

Therefore the average grade point is 2.5.

(b)

$\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}$

The relative frequency table is show below:

x f Relative frequency

4 3 $\frac{3}{10}=0.3$

3 3 $\frac{3}{10}=0.3$

1 4 $\frac{4}{10}=0.4$

(c)

Mean of the relative frequency distribution is

$Average=\frac{0.3+0.3+0.4}{3}$

$Average=0.3333$

Therefore the mean of the relative frequency distribution is 0.3333.

4 0

3 years ago

Pretty please help I’m timed

Alex

Answer:

First one...

Step-by-step explanation:

Welp I mean if you look at the numbers -12, -3 and 7 you can see how they corrspoond to the points plotted on the first number line.

3 0

2 years ago

Read 2 more answers

Nari says, “The sum of 10 and one-third of a number is 25.” She uses the bar model to write an equation to represent her stateme

Y_Kistochka [10]

Answer:

It's A.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME!!!! WORTH 10 POINTS!!!

Sidana [21]

<span>slope
m = (1 - 1)/(0 + 2) = 0

(x1, y1) as (-2, 1)

</span><span>point-slope form</span><span>
y - y1 = m(x - x1)
y - 1 = 0(x + 2)
y - 1 = 0
y = 1</span>

7 0

3 years ago