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Aleks04 [339]
4 years ago
12

2. A recipe for chicken marinade says, “Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice.” If you need 42 cups of

marinade in all, how much of each ingredient should you use?
3.Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. If one batch of fruit punch includes 30 cups of apple juice, how large is this batch of fruit punch?
Mathematics
1 answer:
tatuchka [14]4 years ago
8 0

Answer

14x3 = 42

21x2=42

42x1=42

42 orange jucie,

21 soy sause

and 14 part oils

for number 3,

90.

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Dennis makes a tile table. He uses 2 boxes of 1,000 red tiles,some boxes of 100 blue tiles an 8 boxes of green tiles he uses 3,3
lorasvet [3.4K]
<span>Given that Dennis makes a tile table. He uses 2 boxes of 1,000 red tiles, some boxes of 100 blue tiles an 8 boxes of 10 green tiles. He uses 3,380 tiles in all.

Let the number of boxes of 100 blue tiles be x, then
2(1,000) + x(100) + 8(10) = 3,380
2,000 + 100x + 80 = 3,380
2,080 + 100x = 3,380
100x = 3,380 - 2,080 = 1,300
x = 1,300 / 100 = 13.

Therefore, the number of boxes of blue tiles Dennis used is 13.
</span>
8 0
4 years ago
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
netineya [11]

Answer:

x = -7 ±√5  /2

That is;

x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction

Step-by-step explanation:

To find the solutions to the equation, we will follow the steps below

(2x + 3)² + 8(2x + 3) + 11 = 0 --------------------------------------------------------------(1)

let u = 2x + 3

we will replace 2x+ 3 by  u  in equation (1)

u² + 8u + 11 = 0  -----------------------------------------------------------------------------(2)

we will solve equation (2) using  the formula method

a=1   b=8     and c=11

u = -b ± √b² - 4ac  /2a

u = -8 ±√(-8)² - 4(1)(11)    /2(1)

u = -8 ±√64 - 44    /2

u = -8 ±√20    /2

u = -8/2  ± √20/2

u= -4 ± √20/2

u= -4 ± √5×4   /2

u= -4 ± 2√5 /2

u= -4 ± √5   ---------------------------------------------------------------------------(30

but u = 2x + 3

Substitute u =2x+3 in equation (3)

2x + 3 = -4 ± √5

subtract 3 from both-side of the equation

2x + 3-3 = -4 -3 ± √5

2x = -7±√5

Divide both-side of the equation by 2

2x/2 = -7 ±√5  /2

x = -7 ±√5  /2

6 0
3 years ago
Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $27. At another store she can borrow the tile saw
andre [41]

She must buy 90 tiles for the cost to be the same at both stores

Step-by-step explanation:

Margo can purchase tile in one of two stores

  • $0.89 per tile and rent a tile saw for $27 in the first store
  • borrow the tile saw for free and $1.19 per tile in the second store

We need to find how many tiles she must buy for the cost to be the

same at both stores

Assume that she will buy n tiles

1st store:

∵ She buys n tiles

∵ The cost of each tile = $0.89

∵ She rents a tile saw for $27

∴ The cost of the first store = 27 + 0.89 n

2nd store:

∵ She buys n tiles

∵ The cost of each tile = $1.19

∵ She rents a tile saw for free

∴ The cost of the second store = 1.19 n

Equate the costs of the two stores

∵ 1.19 n = 27 + 0.89 n

- Subtract 0.89 n from both sides

∴ 0.3 n = 27

- Divide both sides by 0.3

∴ n = 90 tiles

She must buy 90 tiles for the cost to be the same at both stores

Learn more:

You can learn more about word problem in brainly.com/question/3950386

#LearnwithBrainly

3 0
3 years ago
Which shows the expression below in simplified form?
r-ruslan [8.4K]
You can multiply the number and the answer is d
8 0
3 years ago
exponential growth model. I started but can't quite figure out how to finish the problems as far as what to do with the "e"
Ket [755]
E is a number like pi it is equal to about 2.718 but it's irrational, you should have it as a button on your calculator
4 0
3 years ago
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