What is parallel and perpendicular to 2y=3x+8

Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe

vesna_86 [32]

Let
x = loaves of bread
y = batches of muffins
You must make a system of two equations with two unknowns that describe the problem
3.5x + 2.5y = 17 --- (1)
0.75x + 0.75y = 4.5 --- (2)
Resolving we have
x = 6-y (from (2))
replacing in (1)
3.5 (6-y) + 2.5y = 17
21 - 3.5y + 2.5y = 17
y = 21-17 = 4
Then substituting in (2)
x = 6-y = 6-4 = 2
Answer
Helena could bake:
2 loaves of bread
4 batches of muffins

8 0

3 years ago

Larry Mitchell invested part of his $36,000 advance at 7% annual simple interest and the rest at 2% annual simple interest. If h

alisha [4.7K]

The amount invested at each rate

Investment at 7% = $25000

Investment at 2% = $11,000

<h3>What is investment?</h3>

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation.

Given:

Larry Mitchell invested = $36,000 at 7% annual simple interest

the rest at 2% annual simple interest.

Total investment = 36000

let the investment at 7% is x

then, invested at 2% = 36000 - x

Total interest earned = $1,970

Simple interest = principal * rate * time

Investment at 4%:

(x * 0.07) + [(36000 - x) * 0.02] = 1970

0.07x + 720 - 0.02x= 1970

0.05x = 1970-720

0.05x = 1250

x= 25000

Hence,

Investment at 7% = $25000

Investment at 2% = $36,000 - $25000 = $11,000

Learn more about this concept here:

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7 0

2 years ago

One container is filled with a mixture that is 30%acid a second container is filled with a mixture that is 50%acid the second co

julsineya [31]

Answer:

The amount of acid in third container is =42%

Step-by-step explanation:

Given , one container is filled with a mixture that is 30% acid a second container filled with a mixture that is 50% acid and the second container 50% larger than the first .

Let, the volume of first container is = x

Then , the volume of second container = (x+ x of 50%)

= x + 0.5 x

= 1.5 x

Therefore the amount of acid in first container $=x \times \frac{30}{100}$ = 0.3 x

The amount of acid in second container $=1.5x \times \frac{50}{100}$ = 0.75x

Total amount of acid= 0.3x + 0.75x = 1.05 x

Total amount of solution = x+1.5x = 2.5x

The amount of acid in third container is = $\frac{1.05x}{2.5x} \times 100%$ %

= 42%

4 0

3 years ago

Factor 75t2 + 12.<br> 3(5t + 2)2<br> 3(25+2 +4)<br> 3(251-4)

frosja888 [35]

Answer:

$75t^2+12=3(25t^2+4)$

Option C)

Step-by-step explanation:

Here we are given with the expression $75t^2+12$

The GCF of $75t^2$ and 12 is 3

Hence we take 3 as GCF and bring it in front of the bracket.

$3(25t^2+4)$

It can not be factorise furthure as there is no GCF of 25 and also there is no rule for sum of squares so that we may apply it on this. Hence the answer would be

$3(25t^2+4)$

Option C)

4 0

3 years ago

Graph the inequalitly y> 2/3x -1

Darina [25.2K]

Kdndmd it ahshsj shshsnd sgdhdheh Rushdie fjfjgnf fhfiixjdbdid d dvd

5 0

3 years ago