Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.70 B. $627.20 C. $250.80 D. $245.72

Answers

Answer 1

Answer: The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80

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Liquid A has a density of 0.7g/cm^3liquid B has a density of 1.6g/cm^3

140g of liquid A is and 128g of liquid B are mixed to make liquid C

work out the density of liquid C

Answers

density is defined as mass per unit volume

in this case liquids A and B with 2 different densities are mixed and we are asked to find the density of the liquid C

liquid A has a density of 0.7 g/cm³

mass of liquid A added is 140 g

therefore volume of liquid A added is - 140 g / 0.7 g/cm³ = 200 cm³

liquid B has a density of 1.6 g/cm³

mass of liquid B added is 128 g

volume of liquid B added is - 128 g / 1.6 g/cm³ = 80 cm³

the total mass of liquid C after adding liquid A and B = 140 g + 128 g = 268 g

total volume in liquid C - 200 cm³ + 80 cm³ = 280 cm³

density of liquid C = mass / volume

= 268 g / 280 cm³ = 0.957 g/cm³

density of liquid C - 0.957 g/cm³

$\rho = (m)/(V) \Rightarrow V=(m)/(\rho)$
ρ - density, m - mass, V - volume

Liquid A:
$\rho=0.7 \ (g)/(cm^3) \nm=140 \ g \n\n V=(140 \ g)/(0.7 \ (g)/(cm^3))=200 \ cm^3$

Liquid B:
$\rho=1.6 \ (g)/(cm^3) \nm=128 \ g \n\n V=(128 \ g)/(1.6 \ (g)/(cm^3))=80 \ cm^3$

Liquid C:
$m=140 \ g + 128 \ g=268 \ g \nV=200 \ cm^3 + 80 \ cm^3=280 \ cm^3 \n \n\rho=(268 \ g)/(280 \ cm^3) \approx 0.96 \ (g)/(cm^3)$

The density of liquid C is approximately 0.96 g/cm³.

Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

Answers

This process is:

Distribute of the Negative Sign:
5t+t−3+−1(7t+5−(8−3t))
5t+t+−3+−1(7t)+(−1)(5)+(−1)(−8)+−1(3t)
5t+t+−3+−7t+−5+8+−3t
Now simple, Just Combine Like Terms:
5t+t+−3+−7t+−5+8+−3t
(5t+t+−7t+−3t)+(−3+−5+8)
−4t

-4t would be the answer.

~Evie

I presume that this is talking about simplification with the rule of PEMDAS. First, look at the parenthesis and brackets. Let's do the [(7t + 5) - (8 - 3t)] part first. The parenthesis can go away on the inside if you distribute the negative in (8 - 3t), which flips the signs of those. You should then have [7t + 5 - 8 + 3t], then work it out to form just (10t - 3). The negative will also carry for the brackets that were there before, so - (10t - 3) turns into -10t + 3. Now, you just have 5t + t - 3 - 10t + 3. Work that out to get your final answer of -4t.

-4t is the answer.

Rewrite each expression without absolute value bars |300|