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xeze [42]
4 years ago
15

9(2x + 10) = 2(9x+ 45)

Mathematics
2 answers:
KATRIN_1 [288]4 years ago
7 0

Answer:

infinite solutions

Step-by-step explanation:

9(2x + 10) = 2(9x+ 45)

Distribute

18x+90 = 18x +90

Subtract 18x from each side

18x-18x+90 = 18x-18x+90

90=90

Since this is always true, the equation has infinite solutions.

X can be any number

Delicious77 [7]4 years ago
4 0

Answer:

infinitely many solutions

Step-by-step explanation:

1) distribute 9 to each term inside parenthesis on left side of equation

18x+90=2(9x+45)

2)now distribute 2

18x+90=18x+90

these equations are exactly the same! this means that this equation has infinitely many solutions

Hope this helps!

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Members of the swim team want to wash their hair. The bathroom has less than 5600 liters of water and at most 2.5 liters of sham
nordsb [41]

Answer:

Yes, the bathroom has enough water and shampoo for all of them.

Step-by-step explanation:

70L+ 60S < 5600

Putting 8 into L and 7 into S, gives:

70(8) + 60(7) = 560 + 420 = 980

That is definitely less than 5600, so water is OK.

Now,

0.02L + 0.01S

Putting 8 into L and 7 into S, gives:

0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23

That's definitely less than 2.5 liters, so shampoo is OK as well.

Hence, bathroom has enough water and shampoo for them.

7 0
3 years ago
Read 2 more answers
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Tju [1.3M]

Let x be the price of a cupcake. There are 24 cupcakes so it will be 24x. Solution: 24x+16=52 24x=52-16 24x=36 Divide both sides by 24 X=1.5. The price of each cupcake is 1.5$

8 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
zhuklara [117]

Answer:

For the cost from the two methods to be equal, 3,200 books have to be produced

Step-by-step explanation:

In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.

Since the number of books is something we do not know, let’s represent it with a variable called c.

For the first production method, the cost of production will be ; 58,881 + 8.50c

For the second production method, the cost of production will be; 18,081 + 21.25c

Now since they are said to be equal, we proceed to equate both;

58,881 + 8.5c = 18,081 + 21.25c

58,881-18,081 = 21.25c - 8.5c

40,800 = 12.75c

c = 40,800/12.75

c = 3,200 books

4 0
3 years ago
Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder o
lesantik [10]
180+x=450 idk if this is wrong
4 0
4 years ago
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Solve for x<br> solve for x<br> solve for x
Feliz [49]

Answer:

x = 64

Step-by-step explanation:

looking at the other sides, you find that each side had just been doubled.

4 0
3 years ago
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