Answer:
<em>0.625</em>
<em>62.5%</em>
Step-by-step explanation:
5/8 is 0.625 as a decimal and
0.625*100 is 62.5 as a percent
The first one... |-100| > |50|
Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:
51,000/x = 85/100
This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.
If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
Consider the first odd integer as x
Then the next consecutive odd integer = x+2
The 6 times the second integer= 6(x+2)
= 6x+12
Sum of an integer and 6 times the next consecutive odd integer is 61
Then the equation will be
x + 6x+12 = 61
Add the like terms in the equation
(1+6)x + 12 = 61
7x +12 = 61
Move 12 to the right hand side of the equation
7x = 61-12
7x = 49
x = 49/7
x = 7
The second number is
x+2 = 7+2
= 9
Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
Learn more about equation here
brainly.com/question/28741857
#SPJ1
Answer:
y=5/3x-3
Step-by-step explanation:
first, let's put 3x+5y=15 into y=mx+b form
move 3x to the other side
5y=-3x+15
divide by 5
y=-3/5x+3
now, perendicular lines have slopes that are negative and reciprocal.
With our new equation we can automatically find the slope, which would be 5/3.
now, we need to find b
plug the points (3,2) into y=5/3x+b
2=5/3(3)+b
2=5+b
-3=b
so that means that our equation will now be
y=5/3x-3.
Hope this helps!
