So,
#1:
Convert to like improper fractions.
Add.
So, one solution could be
.
Another solution could by 9. There is also 10, 11, 12, etc., and all numbers in between.
#2:
Convert into improper fraction form.
Multiply.
Cross-cancel, and we have our final result.
k < 96
96 is not a solution.
95 is a solution.
So is 94, 93, 92, etc, and all numbers in between.
Answer:
40
Step-by-step explanation:
(120 - 40)/2 = 80/2 = 40
Answer:
A or D
Step-by-step explanation:
You know that triangles are Similar if they have like same angles. If too triangles are the same the 3rd one has to be too!
Hope this helped and I hope you do well on your test!! Good Luck!
*Sends good vibes* :)) <33
"You were born to be real, Not perfect.."
-SUGA-
Answer:
Step-by-step explanation:
x = 1
(x^2-4x+3=0 or sin(x)=1)
x = 1
( x^2-4x+3=0 or sin(x)=1)
Answer:
You should make 250 quarts of Creamy Vanilla and 200 of Continental Mocha to use up all the eggs and cream.
Step-by-step explanation:
This problem can be solved by a first order equation
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 700 eggs in stock, so:
2x + y = 700.
The problem also states that each quart of Creamy Vanilla uses 3 cups of cream and that each quart of Continental Mocha uses 3 cups of cream. There are 1350 cups of cream in stock, so:
3x + 3y = 1350
Now we have to solve the following system of equations
1) 2x + y = 700
2) 3x + 3y = 1350
I am going to write y as function of x in 1) and replace it in 2)
y = 700 - 2x
3x + 3(700 - 2x) = 1350
3x + 2100 - 6x = 1350
-3x = -750 *(-1)
3x = 750
x = 250
You should make 250 quarts of Creamy Vanilla
Now, replace it in 1)
y = 700 - 2x
y = 700 - 2(250)
y = 700 - 500
y = 200.
You should make 200 quarts of Continental Mocha
