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dangina [55]
2 years 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]2 years 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

You might be interested in
3/5 plus what other fraction equals to 6
weqwewe [10]

Answer:

27/5 or 5 2/5

Step-by-step explanation:

3 0
3 years ago
The length of a rectangle is 4yd longer than its width.
Monica [59]

Answer:

Length= 19 yd

Width= 15 yd

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides.

Mathematically, it can be represented as below:

\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}

Define variables used:

Let the length and width of the rectangle be L and W yards respectively.

Form an equation:

Given that the length of the rectangle is 4 yards longer that the width,

L= W +4 -----(1)

Next, form another equation using information on the perimeter.

68= 2(L +W) -----(2)

Substitute equation (1) into (2):

68= 2(W +4 +W)

68= 2(2W +4)

Divide both sides by 2:

34= 2W +4

Subtract both sides by 4:

2W= 34 -4

2W= 30

Divide both sides by 2:

W= 30 ÷2

<u>W= 15</u>

Substitute W= 15 into (1):

L= 15 +4

<u>L= 19</u>

Therefore, the length and width of the rectangle is 19 and 15 yards respectively.

Additional:

For another question on perimeter of rectangle, check out: brainly.com/question/15528005

8 0
2 years ago
Please help!! Brainliest worth 15 points
MrMuchimi
See photo for solution and mark me as brainliest if you think i helped!

4 0
3 years ago
9(5x + 1) ÷ 3y
Ivan

Some definitions:

Sum - the result of adding values together

Term - a single number or variable (includes variables multiplied by numbers)

Factor - a number or variable that divides another number or expression evenly

Quotient - the result of dividing values by one another

Coefficient - a numerical or constant value often in front of a variable

In your equation:

Sum - (5x + 1)

5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.

Term - (5x, 1, 3y)

All terms given above are applicable.

Factor - (9)

9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression

Quotient - (9(5x + 1) / 3y)

The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.

Coefficient - (5, 3)

Both 5 and 3 are numbers in front of variables.

Hope this helps!! :)

3 0
4 years ago
Find the slope of the line through (-9,3)&amp;(6,8)
const2013 [10]

Answer:

1/3

Step-by-step explanation:

Slope = (8 - 3)/(6 + 9)

= 5/15

= 1/3

6 0
3 years ago
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