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Sergeeva-Olga [200]
3 years ago
14

10/9 in simplest form pls

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

1\frac{1}{9}

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The table shows the ratio between the number of books ordered and their cost: Find equivalent ratios when the number of books or
Nana76 [90]

Answer:

The answer is below

Step-by-step explanation:

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1.     y = 3x = 3(1) = 3

For x = 2     y=3x = 3(2) = 6

For x = 3     y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate  

8 0
4 years ago
Mrs. Yang bought 5 chickens and 3 ducks for $81. A chicken cost $5 more than a duck.
anygoal [31]

The cost of each duck is $ 7 and cost of each chicken is $ 12.

Step-by-step explanation:

Given,

5 chickens and 3 ducks are bought by $ 81

A chicken costs $ 5 more than a duck.

To find the cost of each duck and cost of each chicken.

Let,

The cost of each duck = x

The cost of each chicken = x+5

According to the problem,

5(x+5)+3x = 81

or, 5x+25+3x = 81

or, 8x = 81-25

or, 8x = 56

or, x = 7

Hence,

The cost of each duck = $ 7

The cost of each chicken = $ 7+5 = $ 12

8 0
4 years ago
PLEASE HELPPPPP FASSSTT (ignore the 6)
kari74 [83]

Answer:

5X!!!!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Kerri has a germen shepherd that has a mass of 30,000 grams. how many kilograms is 30,000 grams
wolverine [178]
Answer: 30 kilograms

explanation: Each 1000 grams converts to 1 kilogram
8 0
2 years ago
there are 42 people in the clas. 3/4 of the boys and 2/3 of the girls travel to school by bus. the total number of biys and girl
Leya [2.2K]

Answer:

24; 12

Step-by-step explanation:

We can set up a system of equations here.

First we can name the number of boys x,

and the number of girls y.

Now we can set up our equations.

x+y=42

and

3/4x+2/3y=30

Now we can set it up for substitution.

x=42-y

We got that by subtracting y from both sides to the first equation

Now we can substitute 42-y in for x in the second equation.

3/4(42-y)+2/3y=30

Distribute.

31.5-3/4y+2/3y=30

Get a common denominator.

31.5-9/12y+8/12y=30

Combine like terms.

31.5-1/12y=30

Subtract 31.5 from both sides.

-1/12y=-1.5

Multiply both sides by -12

y=18

Now we plug that back in.

x+18=42

Subtract 18 from both sides.

x=24

There are 24 boys in the class.

Now 2/3 of girls use the school bus and the total number of girls is 18.

18*2/3=12

12 girls use the school bus.

7 0
3 years ago
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