Answer:
f=-5/3 or -1.6repeating or -1 2/3
Step-by-step explanation:
Answer:
Question 6: 26 crowns plus 15 ribbons.
Question 7: 10 footballs plus 42 basketballs.
Step-by-step explanation:
Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable
, and ribbons as the variable
, this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be
, in order to find how many
(crowns) and
(ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable
together, and add the terms with the variable
together. Simplified, the equation will be
. Since the variables
and
were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.
Question 7 explanation: You can use the same method as you did in question 6, think of footballs and basketballs as the variables
and
respectively. The equation will be
=
. Since the variable
was used to represent footballs and the variable
was used to represent basketballs, that means the correct answer would be 10 footballs plus 42 basketballs.
The obvious answer to this would be 10.
The most simple way to do it would be taking out 3 x from each side of the equation and do 20 = 10 + _
Another way would be to actually solve it.
Let us put into the situation that the unknown variable would be y. The equation then would look like this.
3 x 20 = 3 x (10 + y)
Then solve
3 x 20 = 3 x (10 + y)
-------- ---------------
3 3
20 = 10 + y
20 - 10 = y
10 = y
10 would be the answer
Answer:
They are complementary.
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
where
A,B and C are the measures of the interior angles of triangle
In a right triangle
The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees
so
A+B+90°=180°
A+B=180°-90°
A+B=90°
Remember that
If two angles are complementary, then their sum is equal to 90 degrees
therefore
A and B are complementary angles
Answer:
12
Step-by-step explanation:
The cost for n attendees will be ...
cost = 2 + 2n
We want the cost to be, at most, 26, so we have ...
26 ≥ 2 +2n
Dividing by 2 gives ...
13 ≥ 1 + n
And subtracting 1, we find the answer:
12 ≥ n
At most, there can be 12 attendees.