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.
Answers:
Perimeter = 58.5 centimeters
Area = 163.15 square centimeters
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Explanations:
To get the perimeter, you add up the three exterior (aka outer) sides. So you add up everything but the length measuring 13 cm, as this segment is not on the outside of the triangle. Imagine this is a parking lot and you want to put fencing around the outer sides. You won't build any fencing to run through the middle of the lot (assuming you don't want to subdivide)
So we add up 15.4, 18 and 25.1 to get 15.4+18+25.1 = 58.5 centimeters. The units stay at centimeters. We don't go to "square centimeters" like we do with the area below.
------------
To get the area of the largest triangle, we multiply the base and height, then divide by 2. The base is always perpendicular to the height
base = 25.1
height = 13
area = base*height/2 = 25.1*13/2 = 163.15 square cm
You write "square" before the "cm" to indicate the proper units for the area. Think of a 1 cm by 1 cm rectangle which has area of 1*1 = 1 square cm. This idea applies to triangles as well because we can subdivide the triangle into smaller squares, or you can move one piece of a triangle to another side to reshape the figure into a rectangle.
Answer: b = 2a
Step-by-step explanation:
<u>Original equation</u>
a = (1/2) b
<u>Multiply 2 on both sides</u>
a * 2 = (1/2) b * 2

Hope this helps!! :)
Please let me know if you have any quesitons
Answer: 233.19
Step-by-step explanation:
equation to find volume: width x length x height
the left box:
(14-7) x 3.25 x 3.25= 73.9375 (round after adding)
the right box:
7 x 3.25 x 7= 159.25
73.9375 + 159.25= 233.1875
Round to nearest hundredth: 233.19