Answer: the number is 3.
Step-by-step explanation:
(x × 10) + 6 = 36
[(3) × 10] + 6 = 36
Answer: 379.94
The diameter is given as 22 inches, the radius would be 2/2 = 11 inches.
Area = 3.14 * 11^2
Area = 3.14 * 121
Area = 379.94 square inches.
Answer:
We have the system of equations:
y = -2*x
y = 2*x + 4.
To solve it by graphing, you need to graph both lines and see in which point the lines intersect each other.
You can see it in the image below. (blue is y = 2*x + 4, and green is y = -2*x)
We also can calculate the solution with math, let's do that:
y = -2*x
y = 2*x + 4.
We can replace the first equation in the second one, to get:
-2*x = 2*x + 4
Now let's solve this for x
-2*x -2*x = 4
-4*x = 4
x = 4/-4 = -1
Evaluating this in one of the equations we get:
y = -2*-1 = 2
Then the solution is the point (-1, 2), exactly what we can see in the graph.
Answer:
48
Step-by-step explanation:
The fraction who picked apples is the rest of the students:
1 - 5/8 = 3/8
of them.
So the number who picked apples relative to the number who picked bananas is ...
apples/bananas = (3/8)/(5/8) = 3/5
Multiplying this by the number who picked bananas gives the number who picked apples:
apples = bananas · 3/5 = 80·3/5 = 48
48 students picked apples.
____
<em>Alternate solution</em>
Let "a" represent the number who picked apples. The ratio of banana choosers to the total is 5/8, and there were 80 who chose bananas. That gives rise to the equation ...
80/(80 +a) = 5/8
640 = 400 +5a . . . . . . multiply by 8(80+a) and simplify
240 = 5a . . . . . . . . . . . subtract 400
240/5 = a = 48 . . . . . . divide by 5
48 students picked apples.
Answer:
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Step-by-step explanation:
we know that
the expression " one over " is equivalent to
--------> expression A
and
--------> expression B
substitute the expression B in the expression A
-----> one over three
therefore
the answer is the option
one over three(p + 5)
