Answer:
1. x = 86
2. x = 31
3. x = 64
4. x = 29
Step-by-step explanation:
1. 2x + 8 = 180
-8 -8
2x = 180 (divide both sides by 2 to get x by itself)
2. 3x - 3 = 90
+ 3 +3
3x = 93 (divide both sides by 3 to get x by itself. you divide because 3x is multiplying and you have to do the reverse operation)
3. 2x -5 + x - 7 = 180 (you combine like-terms)
3x -12 = 180
+12 +12
3x = 192 (you divide by 3 on both sides)
4. x + 1 + x + 4 + x - 2 = 90 (combine like-terms)
3x + 3 = 90
-3 -3
3x = 87 (divide both sides by 3)
Answer:
22/15
7/6
Step-by-step explanation:
Have a blessed day
The amount of interest Molly will earn after 5 years on a deposit of 
compounded annually over 5 years is 
First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.
The future value of an investment that is compounded annually is given by
where
Substituting the available values into the formula and solving
The interest Molly will earn after 5 years is
Therefore, the amount of interest Molly will earn after 5 years on a deposit of compounded annually over 5 years is
Learn more about compound interest here: brainly.com/question/21270833
This question is incomplete
Complete Question
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.
Answer:
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Step-by-step explanation:
Let
x = the number of packages of pasta
y = the number of jars of pasta sauce.
He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
x + 1.5y ≤ 20....... Equation 1
x = 20 - 1.5y
x × $1 + y × $3 = $36
x + 3y ≤ 36..... Equation 2
20 - 1.5y + 3y = 36
-1.5y + 3y = 36 - 20
1.5y = 16
y = 16/1.5
y = 8
And x = 8
Therefore,
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
For ABC:
The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54
The measure of angle ABC = x - 5 = 54 - 5 = 49
For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21
The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
