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Pavel [41]
3 years ago
5

A bag contains 6 red tiles and 15 yellow tiles. Lilla removes 2 red tiles. How many yellow tiles should she remove so that the r

atio of red tiles to yellow tiles in the bag stays equivalent to 6: 15 ​
Mathematics
1 answer:
laiz [17]3 years ago
7 0

Answer:

Since she removed 2 red tiles, she now needs to remove 5 yellow tiles.

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Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of
CaHeK987 [17]

Answer: D'(-14,1);\ E'(4,7);\ F'(4,1)

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.

In this case you can identify that:

(a,b)=(1,1)\\k=3

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:

Vertex D' → (3(-4-1)+1,\ 3(1-1)+1)=(-14,1)

Vertex E' → (3(2-1)+1,\ 3(3-1)+1)=(4,7)

Vertex F' → (3(2-1)+1,\ 3(1-1)+1)=(4,1)

6 0
3 years ago
Carla had 8 sticks of gum. She gave 2/8 of her gum to her friends. How many sticks of gum does Carla have left?
svetlana [45]


she has 6 gums left 8-2=6

8 0
3 years ago
∆ABC is reflected about the line y = -x to give ∆A'B'C' with vertices
Semenov [28]
Well you have to change the first number in ALL of the () so 

(-1,1) = (1,1)

(-2,-1) = (2,-1)

(-1,0) = (1,0)

so your answer is d <span>(1, 1), B(2, -1), C(1, 0)</span>
7 0
3 years ago
Read 2 more answers
7. Slips are drawn form a box containing 100 slips written with numbers 1 to 100. If three slips are
Svetradugi [14.3K]

Answer:

D

Step-by-step explanation:

We need the numbers of each before we can calculate the probability

Number of even numbers are 50

Number of odd numbers are 50

Number of perfect squares;

1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100

10 perfect squares

Probability of selecting even = probability of selecting odd = 50/100 = 1/2

Probability of selecting a perfect square = 10/100 = 1/10

Thus, the probability of having the draws in the other stated in the question will be;

1/2 * 1/2 * 1/10 = 1/40

7 0
3 years ago
Equation of a line parallel to y=2x+3 with a y intercept of 7
asambeis [7]

Answer:

y = 2x + 7

Step-by-step explanation:

For a straight line to be parallel to another it needs to have the same gradient. Therefore 2x stays the same and we just change out our y-intercept.

4 0
2 years ago
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