Ask question

Ask question

All categories

3 years ago

10

One number is 12 more than another number. If one half of the smaller number equals one third of the larger number, what is the

larger number?

1 answer:

NikAS [45]3 years ago

5 0

Answer:

x=24

y=36

Step-by-step explanation:

x=smaller number

y=larger number

x+12=y x/2=y/3

x/2=(x+12)/3

cross multiply and distribute

3x=2x+24

x=24

24+12=y

y=36

You might be interested in

The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

7 0

2 years ago

What’s the answer to this question. <br> Simple correct answers

Sophie [7]

Answer:

1st one

Step-by-step explanation:

5 0

3 years ago

Jenny made $120 for 8 hours of work. How much would jenny make for 40 hours of work? Use a proportion to show your work in the s

WITCHER [35]

Answer:

$600

Step-by-step explanation:

For 8 hours she makes $120

For 1 hour she makes $120÷8 = $15

For 40 hours she makes $15 × 40 = $600

Our final answer is $600

Hope this helped and have a good day

4 0

2 years ago

Read 2 more answers

Paul is filling the rectangular prism shown with cubes that measure 4 inch along each edge.

kumpel [21]

Awnser:

You can fit up to 64 cubes in the rectangular prism.

Step-by-step explanation:

Well, we know that each side measures 4 inch each.

So, 4(L) x 4(W) x 4(H) = 64.

8 0

2 years ago

Which set of data shows the least variability?

juin [17]

B. Shows lest Variability.
A) is constant, C) is Constant, D) is constant but with and addition of 20 and remaining

5 0

3 years ago