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Damm [24]
3 years ago
6

use distributive property to simplify the expression 3 (8x + 2y) I need help with my algebra homework someone please help.

Mathematics
1 answer:
inysia [295]3 years ago
4 0

6 \times (4 \times x + y)
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A science teacher has a supply of 5% hydrochloric acid and a supply of 65% hydrochloric acid(HC1). How much of each solution sho
Sphinxa [80]
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.

We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II

We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)


We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III

Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml

Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml

Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
6 0
4 years ago
Only one answer help
Doss [256]

Answer:

9

b-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ellie opened a savings account and deposited $200.00 as principal. The account earns 7% interest, compounded continuously.
mixas84 [53]

Answer: a is 200e^.07t the answer to b is 402.75

Step-by-step explanation:

Because I got it wrong and it showed me the correct answers

4 0
3 years ago
A garden contains two square peanut beds. Find the length of each bed if the sum of the areas is 914ft squared and the differenc
garik1379 [7]

Answer:

The answer to your question is:

m = length of the smaller bed = 17 ft

l = length of the larger bed = 25 ft

Step-by-step explanation:

Data

A1 + A2 = 914

A1 - A2 = 336

A1 = l²

A2 = m²

Process

l² + m² = 914

l² - m² = 336

l² = 336 + m²

(336 + m²) + m² = 914

336 + 2m² = 914

2m² = 914 - 336

2m² = 578

m² = 578 / 2

m² = 289

m = 17 ft

l² = 336 + 289

l² = 625

l = 25 ft

6 0
3 years ago
What sum or difference is equivalent to the expression 9x-6/3
iris [78.8K]
D. 9x-2
This is equivalent to the expression.
hope this helps!
5 0
3 years ago
Read 2 more answers
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