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ANSWER
B(0, 0),
EXPLANATION
The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).
The equation of the direction variation is
The point that belongs the graph of the direct variation must satisfy the variation equation.
Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.
0=-12(0)
0=0
This is true
The other points do not satisfy this variation equation, hence they do not lie on its graph
The answer & explanation for this question is given in the attachment below.
Question 1:
The area of the triangle is cm², if you want it rounded to the nearest whole number it will be 10 cm²
Question 2:
The area of the parallelogram is 304.5 m²
Question 3:
The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form
Question 4:
The ratio of odd to even digits in the following number: 7,208,631
is 3 : 4
Question 5:
5 tons is equal to 10,000 pounds
Question 6:
A table measures 3 feet across is 36 inches across
Step-by-step explanation:
Question 1:
The formula of the area of a triangle is , where
- b is the base of the triangle
- h is the height of the triangle
∵ The base of the triangle = cm
∵ The height of the triangle = cm
- Change the mixed numbers to improper fractions
∵ =
∵ =
∴ cm²
- To change the improper fraction to mixed number divide 77 by 8
∵ 77 ÷ 8 = 9 and remainder 5 (8 × 9 = 72 , 77 - 72 = 5)
∴ 77 ÷ 8 =
∴ cm²
The area of the triangle is cm²
If you want to round it to the nearest whole number the area will
be 10 cm²
Question 2:
The formula of the area of a parallelogram is A = b h , where
- b is the base of the parallelogram
- h is the height of this base of the parallelogram
∵ The base of the parallelogram = 14.5 m
∵ Its height = 21 m
∵ A = b h
∴ A = 14.5 × 21 = 304.5 m²
The area of the parallelogram is 304.5 m²
Question 3:
∵ The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and
150 grilled chicken salads
∴ The cafeteria sold = 200 + 100 + 150 = 450 lunches
- To find the ratio between the grilled chicken salads sold to the total
number of lunches sold divide them and simplify the answer to the
lowest term
→ G.C.S : Lunches
→ 150 : 450 ⇒ divide both by 10
→ 15 : 45 ⇒ divide both by 5
→ 3 : 9 ⇒ divide both by 3
→ 1 : 3
The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form
Question 4:
The even numbers are the numbers whose one digit is 0 , 2 , 4 , 6 , 8
The odd numbers are the numbers whose one digit is 1 , 3 , 5 , 7 , 9
∵ The number is 7,208,631
∵ The odd digits are 7 , 3 , 1
∴ There are 3 odd digits
∵ The even numbers are 2 , 0 , 8 , 6
∴ there are 4 even digits
∴ The ratio of odd to even digits is 3 : 4
The ratio of odd to even digits in the following number: 7,208,631
is 3 : 4
Question 5:
∵ One ton is equal to 2000 pounds
∵ There are 5 tons
→ Ton : Pound
→ 1 : 2000
→ 5 : x
Use the cross multiplication
∵ 1 × x = 5 × 2000
∴ x = 10,000 pounds
5 tons is equal to 10,000 pounds
Question 6:
∵ A table measures 3 feet across
∵ 1 foot = 12 inches
∴ 3 × 12 = 36 inches
A table measures 3 feet across is 36 inches across
Learn more:
You can learn more about ratio in brainly.com/question/10781917
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