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dem82 [27]
2 years ago
9

Kevin is a server at an all-you-wish-to eat sushi restaurant. At one table, the customers ordered 3 child meals and 2 adult meal

s, which cost $80 in total. At another table, the customers ordered 5 child meals and 3 adult meals, which cost $125 in total. How much does each child meal and adult meal cost?​
Mathematics
1 answer:
pentagon [3]2 years ago
6 0

Answer:

Read below for full answer :)

Step-by-step explanation:

We can conclude that the total cost of all meals was $205.

There were a total of 8 kids meals and 5 adult meals.

You'd have to divide 205 by 8, and you'd get 25.625.

Then, divide 205 by 5, and you'd get 41.

For example, we could say that each childrens meal was $15 ($120 total in kid's meals), and each adult was $17 ($85 total in adult meals).

When you total $85 and $120, it then given you a sum of $205.

There are many ways to complete this equation, but i feel that this is the easiest way.

Hope this helps! :)

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Log10 (2x + 1) - logio(3x - 2) = 1​
Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0
2 years ago
Please help ASAP and help me find what the value of x is
elixir [45]

Answer:

x=44

Step-by-step explanation:

33+103+x=180

136+x=180

x=44

6 0
3 years ago
Read 2 more answers
I really need help with this, thank you!!!
Lyrx [107]

Answer:

6. 60°

7. 5.19559

8. 7.96011

Step-by-step explanation:

6. The sum of angles in a triangle is 180°, so the remaining angle is ...

  180° -40° -80° = 60°

7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).

  a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559

8. Same explanation as 7.

  b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011  

3 0
3 years ago
Read 2 more answers
What is the percent of discount on a $44 video game on sale for $28.60
Agata [3.3K]

Answer:

35% discount.

Step-by-step explanation:

28.60 / 44 = 13/20

13/20 = 65/100 = 65%

28.60 is 65% of 44

100 - 65 = 35

Therefore, the discount is 35%.

8 0
2 years ago
Given that x:y=5:1 find 4x+5y:3x
kotykmax [81]

Answer:

5:3

Step-by-step explanation:

When the ratio says x:y=5:1, it means that x is 5 times greater than y. So, plug in 5 for x and 1 for y.

4(5)+5(1):3(5)

20+5:15

25:15 , if simplified then the ratio 5:3

6 0
3 years ago
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