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3 years ago

2. Simplify:

1 answer:

7 0

A. $\frac{4-c}{2c-8}$
$\frac{-c+4}{2(c-4)}$
$- \frac{1}{2}$

B. $\frac{2s^2-5s-12}{2s^2-9s+4}$
$\frac{(2s+3)(s-4)}{(2s-1)(s-4)}$
$\frac{2s+3}{2s-1}$

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Find an equation of the line through (1,8) and parallel to y = 4x +3. Write the equation using function notation.

brilliants [131]

Answer:

f(x) = 4x + 4

Step-by-step explanation:

When a line is parallel to another line, the slopes are always equal. Therefore, the coefficient for x has to be four. If you multiply the y-coordinate by 4, you get 4. To get 8, you have to add four, so the equation is simply f(x) = 4x+4.

5 0

2 years ago

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Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk

Mrrafil [7]

Answer:

The 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

$= \frac{6}{100}$

= 0.06

3% is written in the decimal form

$= \frac{3}{100}$

= 0.03

5% is written in the decimal form

$= \frac{5}{100}$

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x - 0.03x = 1.5 - 0.9

0.03x = 0.6

$x = \frac{0.6}{0.03}$

x = 20 quarts for 6% butterfat milk .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk .

Than 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

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3 years ago

This graph shows the cost of buying dried fruit.

Ann [662]

The slope of the line is3.50 This means that every pound of dried fruit costs $.3.50 sorry this is late

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2 years ago

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Instead of sharing with friends, Kaleb decides to share his bag of LEGO bricks with his sister, Kami. Kaleb randomly selects one

Furkat [3]

The black brick chance would be 45/117

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3 years ago

A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st

Marta_Voda [28]

Answer:

Approximately 16 tablets of medicine

Step-by-step explanation:

Based on the information above , we can use a Rule of Three to first figure out how many mg the cat would need to ingest per day.

$\frac{5mg}{1kg} = \frac{x}{4.5kg}$

$\frac{5mg*4.5kg}{1kg} = 22.5mg$

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

$22.5 / 10 = 2.25$

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

$2.25 * 7 = 15.75$

She would need to take approximately 16 tablets of medicine during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago