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Diano4ka-milaya [45]

3 years ago

15

What is the value of a in the equation 5a-10b=45 when b=3

2 answers:

valentina_108 [34]3 years ago

7 0

Since b = 3 the equation changes

5a - 10(3) = 45
5a - 30 = 45

(Add 30 to both sides)
5a = 75
Divide 5 to both sides
a = 15

spin [16.1K]3 years ago

6 0

If you would like to solve the equation 5 * a - 10 * b = 45, when b = 3, you can calculate this using the following steps:

b = 3
5 * a - 10 * b = 45
5 * a - 10 * 3 = 45
5 * a - 30 = 45
5 * a = 45 + 30
5 * a = 75 /5
a = 75 / 5
a = 15

Result: The value of a is 15.

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Dmitriy789 [7]

Child = $5.70
Adult = $9.80

- We can conclude that the amount of adult is double the amount of child tickets bought. (total of $556.60)

For this, you will need to divide the total amount by two and draw a tree chart with each of the numbers to get the seperation of the two. I would find out how many 9.80s or 5.70s go into $56.60 so you'll just have $500

7 0

3 years ago

Complete equation of the line through (1,4) and (2,2)

lions [1.4K]

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

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3 years ago

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Vadim26 [7]

Answer:

B

Step-by-step explanation:

The answer is B, -12.

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-144+144 = 0

Therefore, the answer is B, -12.

3 0

2 years ago

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

What is the ratio for sin B?

Y_Kistochka [10]

Answer: 22.6°

Approximately: 23°

Step-by-step explanation:

Sin B = Opp/Hyp

Sin B = 5/13

Sin B = 0.3846

Inverse of Sin B

B = 22.6°

Approximately: 23°

3 0

3 years ago