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dangina [55]
1 year ago
13

Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross

multiplied to get 240 = 240. why is this?
Mathematics
1 answer:
frez [133]1 year ago
4 0

The cross products of the proportion are equal.

According to the question, Sonny's equation can be written as follows.

16/x = 48/15

Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.

16/5 = 48/15

When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.

16*15= 48*5

The values of both the products are equal which is 240.

Therefore, because the cross products of the proportion are equal.

Learn more about Proportion on:

brainly.com/question/1496357

#SPJ4

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padilas [110]

Answer:  The required value of y is 19.

Step-by-step explanation:  We are given to find the value of y in the solution to the following system of equations :

y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Comparing equations (i) and (ii), we get

12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.

From equation (i), we get

y=12\times1+7=12+7=19.

Thus, the required value of y is 19.

4 0
3 years ago
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Manny, Rachelle, and Peg race each other in carts. There are no other racers, and exactly one racer wins each race (no ties allo
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Answer:

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Step-by-step explanation:

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nlexa [21]
Well the answer would be 8 as the total sum would be 6 x (8) = 48
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2 years ago
8. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You d
ira [324]

Step 1

Find the area of one equilateral triangle

Applying the law of sines

Area=\frac{1}{2} *a*b*sin C

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a=b=7 cm

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Area=\frac{1}{2} *49*\frac{\sqrt{3}}{2}  \\ Area=49*\frac{\sqrt{3}}{4}cm²

Step 2

To calculate the area of the hexagon multiply the area of one equilateral triangle by 6

Area Hexagon=6*[49*\frac{\sqrt{3}}{4}]  \\ Area Hexagon=73.5*\sqrt{3}cm²

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3 years ago
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0.444 is the same as 111/250, a fraction of integers, so 0.444 is rational.
6 0
3 years ago
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