Answer:
- (b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.
Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
<u>1. Scale</u>:
- model length / real length = 1 inch / 2 feet
<u>2. Proportion</u>:
Naming x the model length:
- 1 inch / 2 feet = x / 6 feet
Cross multiply:
- 1 inch × 6 feet = 2 feet × x
Divide both sides by x:
- x = 1 inch × 6 feet / 2 feet = 3 inch.
Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
Your answer is the last option, 6.
We can work this out by looking for the total of people that like tennis in the table, and subtracting it from the total amount of people that like baseball.
This gives us a total of 46 people that like baseball, subtract 40 people that like tennis, and 46 - 40 = 6.
I hope this helps!
42 times 28 = 1176
i'm 90% sure it's right please tell me if it's not
Answer:
D.) 12
Step-by-step explanation:
16x - 3(4x + 5) = 2x + 9
16x - 12x - 15 = 2x + 9
4x - 2x = 15 + 9
2x = 24
2x/2 = 24/2
x = 12
Check:
16x - 3(4x + 5) = 2x + 9
16(12) - 3(4(12) + 5) = 2(12) + 9
192 - 3(48 + 5) = 2(12) + 9
192 - 3(53) = 24 + 9
192 - 159 = 33
33 = 33
A function is relationship where a member of the Domain maps to one and only one member of the Range.
To prove a relationship is a function, a VERTICAL LINE TEST may be performed. If a vertical line cuts the graph of a relationship only once then it is a function if not, then it is not.
View the image attached for the test.
The answer is
option A
