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Lera25 [3.4K]
3 years ago
15

Questions 1-3 40 points

Mathematics
1 answer:
meriva3 years ago
4 0

Answer:

  16%

Step-by-step explanation:

The additional wage amount is $80.

The original wage amount is $500.

The ratio of the two is ...

  $80/$500 = 0.16 = 16/100

To express that ratio as a percentage, multiply it by 100%.

  0.16 × 100% = 16%

_____

It might help you to think of the percent sign (%) as a fancy way to write "per hundred" (/100). Of course, using your knowledge of place value, you know that 0.16 = sixteen hundredths = 16/100.

Realizing the meaning of the % sign, you can immediately write this as 16%.

You might be interested in
Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with
Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

tan(72)=\frac{150}{x} and, solving for x,

x=\frac{150}{tan(72)}

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

7 0
3 years ago
Light travels at the speed of approximately 3.0 × 108 meters per second. Find the time in minutes required for light to travel f
expeople1 [14]
Speed = distance / time => time = distance / speed
speed = 3x10^8 x 60 = 180x10^8 m per minute
time = 1.5x10^11/180x10^8 = 150x10^9/180x10^8 = 5/6x10 = 8,3 minutes
6 0
3 years ago
r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a
ad-work [718]

Answer:

  • The equation 2n = p should be 2p = n.
  • The actual cost of the onions is $3.00 per pound.
  • Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

  2p = n

Then the solution is ...

  6p +3(2p) = 18

  12p = 18

  p = 18/12 = 1.50

  n = 2p = 2(1.50) = 3.00

__

The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

5 0
3 years ago
Geometry! Please help!!
krek1111 [17]
Problem One
Find AM
AM = 71.5 - 22 = 49.5

Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5

Step Three
Set up the Proportion

AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5

Substitute and solve
49.5 / 71.5 = x / 97.5    Cross Multiply
49.5 * 97.5 = 71.5 * x   Combine the numbers on the left.
4860.375 = 71.5 * x     Divide by 71.5
4860.375 / 71.5 = x      
x = 67.98

Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??

10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26  <<<< answer
6 0
3 years ago
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
7nadin3 [17]

Answer:

-50

Step-by-step explanation:

6 0
3 years ago
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