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Scilla [17]
3 years ago
13

Write each ratio in simplest fractional form. 1. 16 dogs and 9 cats 2. 99 miles to 6 gallons 3. 4 frogs to 9 lily pads 4. 6 cups

of milk to 4 cups of flour 5. 6 girls to 13 boys
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

1. 16/9

2. 33/2

3. 4/9

4. 3/2

5. 6/13

Step-by-step explanation:

1. 16 dogs and 9 cats  

16/9

2. 99 miles to 6 gallons  

99/6

Divide by 3 on the top and bottom

33/2

3. 4 frogs to 9 lily pads

4/9

4. 6 cups of milk to 4 cups of flour

6/4

Divide the top and bottom by 2

3/2

5. 6 girls to 13 boys

6/13

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Sonia makes a wooden frame around a square picture. The frame is made of four congruent trapezoids. The shorter base is 9 in, th
sp2606 [1]

answer

congruent trapezoide for one

0,5(9+12)×1,5=15,75

area of picture frame =4×15,75=63

8 0
2 years ago
Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd
Slav-nsk [51]

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can  use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

7 0
3 years ago
To solve for y in the equation 2 x + y = 5, subtract 2 from both sides of the equation.
steposvetlana [31]

Answer:

False.

Step-by-step explanation:

Because we have to isolate y and subtracting 2 will not put y alone on one side.

We have to subtract 2x in order to solve for y.

3 0
3 years ago
Read 2 more answers
The Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars, and every year, a counci
Rom4ik [11]

Answer:

100,000C999

Step-by-step explanation:

Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars

every year, a council of 99 co-equal leaders is randomly selected from the population.

Since these are members, order of selection of not important

So combinations woul dbe used here.

Total number of persons avaiiable = 100,000

No of persons to be selected = 999

No of ways this can be done =

999 out of 100,000

= 100,000C999

4 0
3 years ago
There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $890. Ho
Sliva [168]

Answer:

Step-by-step explanation:

Number of adults = a

Number of children = c

Total people  = 430

a + c = 430 --------------(I)

Total amount =$890

3a + c =890 -----------(II)

Multiply equation (I) by (-1)

(I)*(-1)    -a - c = -430

(II)         <u>3a + c = 890</u>    {Now add and thus c will be eliminated}

           2a        = 460

a = 460/2

a= 230

Plug in the value of a in equation (I)

230 + c = 430

c = 430 - 230

c = 200

Number of adults = 230

Number of children = 200

5 0
3 years ago
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