A triangular prism and its dimensions are shown in the

Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3

Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

Add 15 tuna sandwiches

2x : 3x+15

Now the ratio is 1:3

egg sandwiches : tuna sandwiches

1 : 3

Multiply by y because we do not know how many sandwiches, just the ratio

y : 3y

Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

2*5 3*5

10 15

He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches

5 0

3 years ago

Write these values in order starting with the smallest . 0.15 12% 1/10 1/20

Vikki [24]

Answer:

1/10, 1/20, 12%, 0.15

Step-by-step explanation:

1/20=1÷20=0.05

12%= 12÷100=0.12

1/10= 1÷10= 0.01

6 0

3 years ago

Nine less than The quotient of two and a number x

aleksley [76]

2/x-9. You must divide 2 by x first to follow the order of operations then subtract by nine.

4 0

3 years ago

Read 2 more answers

(3 x 10e-4) ( 3 x 10e7)

Rina8888 [55]

The answer is 9000..

5 0

3 years ago

Tony has a bucket filled with green, blue, yellow, and red markers. He removes 3 markers from the bucket, with replacement. Sele

Margaret [11]

Answer:

Options A), B), C), D)

Step-by-step explanation:

There are 4 colors of markers.

Take out three "with replacement" markers.

As there is replacement, then the number of markers in the cube does not change in each trial.

A) There is a chance that when you get the three markers always get the same color.

B) It is likely to get a marker of each color

C) If 3 markers are taken it is likely to get the same amount of green and blue markers. For example, if there are 3 markers obtainable: blue, green, yellow. Then the number of blues and yellows is the same.

D) If 3 markers are taken it is likely to obtain the same amount of red and yellow markers. For example, if there are 3 markers you could obtain: red, yellow, blue. Then the number of reds and yellows is the same.

E) It is impossible for this to happen, because if only 3 markers of two different colors are taken, then there will always be 2 markers of one color and only one marker of another color:

green, green, yellow

blue, blue, green

blue, red, red .....

So the first 4 results are possible. Only the last result is impossible to obtain

5 0

3 years ago