Answer:
D is the correct answer.
Step-by-step explanation:
<em>Step 1: Write the data</em>
Total number of songs = 100
Total ratio = 1
Total percentage = 100%
Ratio of jazz songs = 1/4
Percentage of jazz songs = 1/4 x 100 = 25%
Ratio of pop songs = 1 - 1/4 = 3/4
Percentage of pop songs = 3/4 x 100 = 75%
<em>Step 2: Match the statement.</em>
The correct statement is D; 25% are Julian's songs are jazz because 1/4 = 25/100 and 75% are pop because 3/4 = 75/100.
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Answer:
im confused lol ill editthis once you give me the full thing
Step-by-step explanation:
Answer:
1. y=7.2
2. x=18
Step-by-step explanation:
1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

2. GK is angle G bisector. Use angle bisector's property:

Answer:
Michelle’s house is 44 miles to Richard’s house.
Step-by-step explanation:
The distance can be found out by using the trigonometric ratio of sine theta
Sine theta= Perpendicular/ Hypotenuse
We know the values of hypotenuse and theta
Sine 30 = 22/ Hypotenuse
Hypotenuse= 22/ sine 30
Hypotenuse= 22/0.5
Hypotenuse = 44
The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.
Answer:
(A) $260 + $57x = $488
(B) 4 hours
Step-by-step explanation:
(A) We need to find out how many hours of labor he needed to complete the job. That's what the x will represent.
We know that he charged Katy for the parts and for the labor, with an hourly rate of $57.
We need to sum the amount of money he charged for the parts with the hourly rate multiplied by the number of hours he worked.
Let's notice that we multiply the number of hours just to the hourly rate, the price of the parts doesn't depend on how many hours he worked.
That is $260 + $57*x
We know that the total was $488, so we just need to equal the expression before to the total.
$260 + $57x = $488
That's the expression we were looking for.
(B) Let's solve the equation. We need to leave the x alone on one side of the equation.
First, let's subtract $260 on both sides:
$260 + $57x - $260 = $488 - $260
$57x = $228
Now we divide by $57 on both sides:
$57x/$57 = $228/$57
x = 4
He needed 4 hours to do the job.