What is the answer to 1/7÷3

The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

46

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

3 years ago

Samantha sends her son, barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo

Ipatiy [6.2K]

45d+70=$880. $880-70=$810. 810/45=18

5 0

3 years ago

Read 2 more answers

25 points please help me

GuDViN [60]

Answer:

I can help you with C and I tis non-linear because to make it linear it needs to be a straight line and shouldn't have any curves.

Step-by-step explanation:

5 0

3 years ago

Anji bought 4 shirts for $56.80. She later bought a shirt for $19.20. What was the mean cost of all the shirts in dollars?

MakcuM [25]

Answer:

$15.20

Step-by-step explanation:

When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.

56.80 + 19.20 = 76

76 ÷ 5 = 15.20

Thus the mean cost is $15.20

<em>Hope this helped!</em>

7 0

2 years ago

Help! How do I do this?

Leni [432]

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).

in the triangle LKM we know 2 angles already :

angle 1 = 44°

angle K = 90° (right angle).

so, angle 2 = 180 - 90 - 44 = 46°

and so, angle 5 = 180 - 46 = 134°.

as the angles around point L on line KL are the angles 2 and 5.

angle 5 = 134°

4 0

2 years ago