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Bogdan [553]
2 years ago
13

Is the ratio 15 : 12 equivalent to 5 : 3 and 10 : 6? Explain.

Mathematics
2 answers:
LuckyWell [14K]2 years ago
7 0
No and here’s why the main ratio is 15:12 it won’t be equivalent because 5:3 multiplied by 3 = 15:9 and 10:6 multiplied by 1.5= 15:9
otez555 [7]2 years ago
5 0

Answer:

Yes it is

Step-by-step explanation:

When we simplify 15:12, we receive 5:3

Therefore, 5:3 is equvilaent to 15:12

Using this unit ratio, we can solve for other rations

For example, 5:3, the unit ratio, times 2 is 10:6

5 * 2 = 10

3*2 = 6

10, 6 = 10:6

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Marcus has been running a beverage cart on weekends at the beach, selling water and soda. Last Saturday, he sold 40 bottles of w
Vedmedyk [2.9K]

Answer:

$2 for soda and $1.5 for a bottle of water

Step-by-step explanation:

You start by turning both situations into an equation

Let x represent bottles of water and y represent sodas

Saturday:

40x+25y=110

Sunday:

50x+45y=165

You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:

50÷40=1.25

You then times the whole equation by -1.25

40x+25y=110

×-1.25

-50x+-31.25y= -137.5

You then add this equation by Sunday's equation

50x+45y=165

-50x+-31.25y=-137.5

          13.75y=27.5

You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring

13.75y=27.5

×1.09 recurring

    15y=30

15y/15=30/15

     y=2

Now that we know y = 2

We can use either Saturday or Sunday's equation to figure out the value of x

Let's use Sunday's:

50x+45×2=165

50x+90=165

50x+90-90=165-90

50x/50=75/50

x=1.5

Let's check our answer with Saturday's equation

40×1.5+25×2=110

This equation is correct

Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda

4 0
2 years ago
What is the value of <br><br> Enter your answer in the box.
Katen [24]

Answer:

x=40

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+102+38 = 180

Combine like terms

x + 140 = 180

Subtract 140 from each side

x+140-140 = 180-140

x = 40

5 0
2 years ago
2x squared plus 16x minus 10 equals 0. please solve for the solution
ohaa [14]
Answer: 5/9

Solution: 2x^2+16x-10=0

According to formula: X=(-16+_sqrt(16^2-(-10•2)) / 2•2

X=5/9
6 0
2 years ago
Read 2 more answers
What property does the following expression demonstrate? 9(3x) = (9x3)x
Katena32 [7]

Answer: x=0,\root(3)(3)

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Brainliest or a thank you please? :))

3 0
3 years ago
Read 2 more answers
An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 390 feet of antiqu
Ksenya-84 [330]

Length (L): L

width (w): (2/3)L

Perimeter (P) = 2L + 2w

               390 = 2(L) + 2(2/3)(L)

               1170 = 6L + 4L

               1170 = 10L

                  117 = L

width (w): (2/3)L   = (2/3)(117) = 2(39)   = 78

Answer: width = 78 ft, length = 117 ft


3 0
3 years ago
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