The sum of 2 numbers is 22. three times one number is equal to ten more than the other. find the numbers

1 answer:

8 0

Translating that problem into an equation with x as a variable we get 3x + x +10 = 22. Combine like terms to get 4x + 10 = 22. Subtract 10 on both sides to get 4x = 12. Divide by 4 on both sides to get x = 3.

Now to plug in. The first number was represented by 3x. So substituting 3 for the x we get 3(3) = 9. And again for the second number represented by x+10, 3+10 = 13.

Your numbers are 9 and 13. To check just add them together. 13 + 9 is 22, I'll save ya the effort.

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What's the correct answer?

Lesechka [4]

Is the hours he worked

3 0

3 years ago

James uses 1/3 of his land for growing durains, 1/4 for bananas,3/8 for Guavas and the remaining 9 hectares for mangoes. What is

dusya [7]

Greetings and Happy Holidays!

Let x represent the total area of land

We can create an equation to solve for the unknown, this being the total area:
$x= \frac{1}{3}x+ \frac{1}{4}x+ \frac{3}{8}x+9$

Combine like terms (terms with the same variable and degree):
$x= \frac{1}{3}x+ \frac{2}{8}x+ \frac{3}{8}x+9$

$x= \frac{1}{3}x+\frac{5}{8}x+9$

$x= \frac{8}{24}x+\frac{15}{24}x+9$

$x=\frac{23}{24}x+9$

Add $-\frac{23}{24}x$ to both sides.
$(x)+(-\frac{23}{24}x)=(\frac{23}{24}x+9)+(-\frac{23}{24}x)$

$x-\frac{23}{24}x=9$

$\frac{24}{24}x-\frac{23}{24}x=9$

$\frac{1}{24}x=9$

Divide both sides by $\frac{1}{24}$
$\frac{\frac{1}{24}x}{\frac{1}{24}}=\frac{9}{\frac{1}{24}}$

$x=(9)(\frac{24}{1})$

$x=(\frac{9}{1})(\frac{24}{1})$

$x=\frac{216}{1}$

$x=216$

The Answer Is:
$\left[\begin{array}{ccc}x=216\end{array}\right]$

James has 216 square units of land.

Hope this helps!
-Benjamin

3 0

3 years ago

Suppose that three computer boards in a production run of forty are defective. A sample of five is to be selected to be checked

IgorC [24]

Answer:

(a) 658,008 different samples can be chosen.

(b) 222,111 samples will contain at least one defective board.

(c) The probability that a randomly chosen sample of five contains at least one defective board is 0.34.

Step-by-step explanation:

We are given that three computer boards in a production run of forty are defective. A sample of five is to be selected to be checked for defects.

(a) To find how many different samples can be chosen, we will use a combination formula here because the order of selecting a sample of 5 from the production run of 40 doesn't matter.

Here, n = total sample = 40 and r = selected sample = 5

So, the combination formula is; $^{n}C_r= \frac{n!}{r! \times (n-r)!}$