Answer:
peanut butter cookies:8
sugar cookies:2
chocolate chip cookies:5
ratio: 4:1:2.5
Step-by-step explanation:
x=peanut butter cookies
y=sugar cookies
a=chocolate chip cookies
40=2x+3y+3.6a
15=x+y+a
x=a+3
15=(a+3)+y+a
y=12-2a
40=2(a+3)+3(12-2a)+3.6a
a=5
x=8
y=2
<span>To get the Least Common Multiple (LCM) of 37 and 12 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
<span><span>37: 37</span><span>12: 223 </span><span>LCM: 22337</span></span>The Least Common Multiple (LCM) is: 2 x 2 x 3 x 37 = 444</span><span> </span>
If you’re solving for a... subtract the 8 to the other side so...
-4(a+3)- 3(2a-8) = 22.
Distribute the -4 and -3 into the parentheses (two negatives multiplied together is a positive)...
-4a-12-6a+24 = 22.
Add the constants and a’s together.
-10a + 12 = 22
Subtract 12 to the other side.
-10a = 10
Divide both sides by -10.
a = -1
Check and make sure that this answer works with the problem.
-4(-1+3)-3(-2-8)=22
-4(-2)-3(-10)=22.
-8+30=22.
22=22, the answer checks out
Answer:
Jersey cost (without discount)= $65
Step-by-step explanation:
<u>First, we need to determine how much he spent on the jersey:</u>
Jersey cost (with discount)= 83.39 - 37.89
Jersey cost (with discount)= $45.5
<u>Now, the original cost of the jersey:</u>
Jersey cost (without discount)= discount cost / (1 - discount)
Jersey cost (without discount)= 45.5 / 0.7
Jersey cost (without discount)= $65