The tree diagram shows that there are a total of six sample
spaces.
math------science
art
science---math
art---math
science
math---art
art---science
math
science---art
Based on the tree
diagram, the probability that the science project is first is two over six.
This is because science appears first in two out of the six sample spaces (boldened).
<em><u>The solution is:</u></em>

<em><u>Solution:</u></em>
We have to solve the given expression
<em><u>Given expression is:</u></em>

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Thus we get,


<em><u>Thus the given expression becomes,</u></em>

Make the denominators same for easier calculations

<em><u>Reducing to lowest terms, we get</u></em>

<em><u>In decimal form, we get</u></em>

<em><u>Thus the solution is:</u></em>

Answer:
either a full cup or 1 1/2
Step-by-step explanation:
Answer:
Store of value
Step-by-step explanation:
Look it up
answer.
Answer:
x=2 and y=0 is the required result.
Step-by-step explanation:
We have been given system of equations:
5x+2y=105x+2y=10 (1)
And 3x+2y=63x+2y=6 (2)
We will use elimination method:
Multiply 1st equation by 3 and 2nd equation by 5 we get:
15x+6y=3015x+6y=30 (3)
15x+10y=3015x+10y=30 (4)
Now subtract (4) from (3) we get:
-4y=0−4y=0
y=0y=0
Now, put y=0 in (1) equation:
5x+2(0)=105x+2(0)=10
5x=105x=10
x=2x=2
Hence, x=2 and y=0