<h3><u>given</u><u>:</u></h3>
<u>
</u>
<u>
</u>
<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>
the volume of the given prism.
<h3><u>solution</u><u>:</u></h3>
<u>
</u>
<u>
</u>
<u>
</u>
<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>9</u><u>2</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>
Answer:
A complete angle is one which measures 360∘360∘.
The three angles
6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘
add up to 360∘360∘, as per the question.
6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘
⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘
⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘
⟹2x+3y+z=90∘⟹2x+3y+z=90∘
This is the required relation.
125.
16 (10 and 6) divided by 100 is 6.25. Times two is 12.5. (For 200) times 10 for 10 marbles.
Answer:
x=9
Step-by-step explanation:
1(x)+0=9
Why?
Because the larger the coeffient, the smaller x gets.
1x=9
x=9
2x=9
x=4.5
3x=9
x=3
You wouldn't want to add any number either, but conviniently, whole numbers also include 0
Answer:
Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Step-by-step explanation:
With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:
x+y=7
Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:
0.45x+0.65y=3.65
You have the following equations:
x+y=7 (1)
0.45x+0.65y=3.65 (2)
Now, you have to solve for x in (1):
x=7-y (3)
Then, you have to replace (3) in (2):
0.45(7-y)+0.65y=3.65
3.15-0.45y+0.65y=3.65
0.20y=0.50
y=0.50/0.20
y=2.5
Finally, you can replace the value of y in (3) to find x:
x=7-y
x=7-2.5
x=4.5
According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.