Answer:
(1,-1)
Step-by-step explanation:
Given,
The starting point of the car is (5,7) and end point of the car is (-2,-7),
So, the equation that represents the position of car,
Similarly, the start point of the limo is (3,-5) and end point of the limo is (-4,9),
So, the equation that represents the position of limo,
Adding equation (1) and (2),
4x = 4 ⇒ x = 1
From equation (1),
2(1) - y = 3 ⇒ -y = 3 - 2 ⇒ -y = 1 ⇒ y = -1
Hence, the intersection point of line (1) and (2) is (1,-1).
A) 3/8
B) 5/8
C) 1 3/8
D) 1 1/2
The portion of the pies Dakota’s family ate on Thanksgiving is 5/8. Therefore, option B is the correct answer.
The given pictures show the remaining slices in each pie in gray.
In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Number of slice ate in pumpkin pie = 2/8
Number of slice ate in pecan pie = 3/8
Total number of slice pie ate
= 2/8+3/8
= 5/8
The portion of the pies Dakota’s family ate on Thanksgiving is 5/8. Therefore, option B is the correct answer.
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B. 25 tiles
C. 65 tiles
D. 85 tiles
Answer:
Naomi used 15 red tiles in her design.
Step-by-step explanation:
We need to add the total number of tiles that we know to find out the unknown value of red tiles. The blue tiles make up 1/2 of the design, or 50 tiles. Next we will add the green tiles, which Naomi used 15 of, as stated.
So far, we have figured out how many blue and green tiles we have. (50 blue, and 15 green, which is a total of 65).
Now we need to calculate the number of yellow tiles, which equal 1/5 of the design. 1/5 of 100 is 20.
Now we add all of our tiles that we already know. We have 50 red + 15 green + 20 yellow which = 85.
Now to find the unknown value of red tiles, we subtract our 85 other tiles from the 100 total tiles, and the ends us up with 15 red tiles.
Hope this helps!!
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