What is the estimate of 19% of 51?

Gemiola [76]

Ok it’s circular prisms of the purple blue

3 0

2 years ago

the value of a baseball card can be represented by the equation y equals 3x + 39 where X represents the number of years that Rob

Blababa [14]

Answer:

I need the values of either X or Y to solve this. I can solve for what X is though.

Step-by-step explanation:

A: X = -12

B: X =78

C: X = 12.13

I hope this helps you, but since both X and Y are unknown variables, you can't solve it, only simplify (which it already is.)

3 0

3 years ago

Lucas invested money in two accounts: one paying 3% interest and the other paying 5% interest. He invested $100 more in the 5% a

Anni [7]

He invested "a" at 3% and "b" at 5%

now, he invested 100 more in "b", so, whatever "a" may be, b = a + 100

now, how much is the interest yield of each? well
how much is 3% of a? well, (3/100) * a, or 0.03a
and 5% of b? well (5/100) * b, or 0.05b

now, we know the total yield was 53 bucks, thus 0.03a + 0.05b = 53

thus $\bf \begin{cases}
\boxed{b}=a+100\\
0.03a+0.05b=53\\
----------\\
0.03a+0.05\left( \boxed{a+100} \right)=53
\end{cases}$

solve for "a", to see how much was invested at 3%

what about "b"? well, b = a + 100

3 0

3 years ago

Find the measure of each angle in degrees and radians.<br>

Paul [167]

Problem 9

This is not correct. It would be correct if the longer arc mark was not there. However, because it is there, you have to travel 360-30 = 330 degrees in the negative direction. So the angle shown along that arc is -330 degrees which converts to -11pi/6 radians.

====================================

Problem 10

The spiral arc almost wraps itself around 2 times over, effectively almost making two full revolutions.

1 revolution = 2pi radians

2 revolutions = 4pi radians (multiply both sides by 2)

Subtract off pi/3

4pi - pi/3 = 12pi/3 - pi/3 = 11pi/3

11pi/3 represents the radian measure of the spiral arc

Convert to degrees

11pi/3 radians = (11pi/3)*(180/pi)

11pi/3 radians = (11/3)*180

11pi/3 radians = 11*180/3

11pi/3 radians = 11*60

11pi/3 radians = 660 degrees

====================================

Problem 11

Add pi/2 radians to the angle measure shown

pi/2 + 7pi/18 = 9pi/18 + 7pi/18

pi/2 + 7pi/18 = 16pi/18

pi/2 + 7pi/18 = 8pi/9

The full angle in radians is 8pi/9 radians

Now convert to degrees

8pi/9 radians = (8pi/9)*(180/pi)

8pi/9 radians = (8/9)*180

8pi/9 radians = 8*180/9

8pi/9 radians = 8*20

8pi/9 radians = 160 degrees

====================================

Problem 12

Add pi/2 radians (aka 90 degrees) to pi/9 to get

pi/2 + pi/9 = 9pi/18 + 2pi/18

pi/2 + pi/9 = 11pi/18

This represents the red angle shown in the diagram below.

Subtract this found angle from 4pi, which represents 2 full revolutions

4pi - 11pi/18 = 72pi/18 - 11pi/18

4pi - 11pi/18 = 61pi/18

The spiral mark shown in the diagram is 61pi/18 radians

Convert to degrees

61pi/18 radians = (61pi/18)*(180/pi)

61pi/18 radians = (61/18)*180

61pi/18 radians = 61*180/18

61pi/18 radians = 61*10

61pi/18 radians = 610 degrees

8 0

3 years ago

During the first four months of the year, Jack earned $1270, $1150, $870 and $1450 If Jack must have an average salary of at lea

tia_tia [17]

Answer:

1010

Step-by-step explanation:

There are a whole class of questions that rely on the method to this one.

First add up what you know

1270 + 1150 + 870 + 1450 = 4740

Now add on the 5th month (which you don't know. Call it x)

4740 + x

Divide by 5

(4740 + x)/5 = 1150 and that is your equation

Solution

Multiply both sides by 5

5*(4740 + x) / 5 = 1150 * 5

4740 + x = 5750

Subtract 4740 from both sides

4740 - 4740 + x = 5750 - 4740

x = 1010

Which seems kind of low, but that's what the numbers come to.

6 0

3 years ago