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monitta
3 years ago
6

75% of what number is 27?

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
<span>So we want to know the number from which we take 75% and get 27. If the number we are looking for is x, then the equation to find that x would be: (75/100)*x=27 which says seventy five percent out of x is equal 27. So, x=(27*100)/75. And finally, x= 2700/75=36. So, 75% out of 36 is 27.</span>
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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is y - 4 = 2/3 (x - 3)
Musya8 [376]

Answer:

y + 2 = \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = \frac{2}{3}(x - 3) ← is in point- slope form

with slope m = \frac{2}{3}

Parallel lines have equal slopes, thus equation of parallel line

with m = \frac{2}{3} and (a, b) = Q(1, - 2) is

y - (- 2) = \frac{2}{3}(x - 1) , that is

y + 2 = \frac{2}{3}(x - 1)

7 0
4 years ago
Sally's paycheck this week was $100. She spent $220.45 for a shirt, $12.95 for a CD, $15 for gasoline, and put the balance in th
luda_lava [24]

Answer:

A) 220.45%

B) 0%

Step-by-step explanation:

A) 220.45 / 100 = 2.2045 * 100 = 220.45%

B) Costs exceeded her paycheck, so 0% of her pay was leftover and put in the bank.

8 0
3 years ago
Read 2 more answers
Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
kozerog [31]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

Each kg has 1000g, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step:  1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

1750 mg = 1.75g

2.25g - OK

Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

xg - 825,000 ug

1,000,000x = 825,000

x = \frac{825,000}{1,000,000}

x = 0.25g

825,000 μg = 0.25g

Final step: adding everyting

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

5 0
3 years ago
The gas tank is 20% full. At $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.3)
rewona [7]
The correct question in the attached figure

we know that

to fill the tank is required--------> 100%-20%--------> 80%
if 20% of the gas tank is-----------------> 288.75 gal
80% --------------------------------------> X gal
X=80*288.75/20--------> X=1155 gal

if 1 gal----------------> cost $3
 1155 gal----------> $X
X=1155*3--------> X=$3465

the answer is
the cost to fill the tank is $3465

7 0
3 years ago
69) Half-way to the center of a planet of uniform density, your weight compared to that at the surface would be :
mel-nik [20]

Answer:

One- half

Step-by-step explanation:

Since the density is uniform  

Mass of the sphere = [(4/3) π r^3] d

where d is the uniform density.

Mass of the sphere = [(4/3) π d] r^3 = k r^3

where k = [(4/3) π d] is a constant  

Weight = mg = G m M / r^2 = G m [k r^3] /r^2 = G m k r

Using Gauss’ law for gravitation,

Half way to the center of a planet the weight is only due to the inner sphere and the outer sphere does not contribute to his weight,  

Inside his weight is mg’ = (G m k  r) /2   = mg/2  

Answer is one-half.

7 0
3 years ago
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