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kirza4 [7]
2 years ago
10

Determine whether the fractions 3 4 and 4 5 are equivalent. Question content area bottom Part 1 Select the correct choice below

and fill in the answer​ box(es) to complete your choice. ​(Simplify your​ answers.) A. The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is enter your response here ​, which is not equal to the product of the numerator of the second fraction and the denominator of the first​ fraction, enter your response here . B. The fractions are equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is equal to the product of the numerator of the second fraction and the denominator of the first fraction. That​ is, the cross product for each multiplication is enter your response here .
Mathematics
1 answer:
VMariaS [17]2 years ago
5 0

Answer: Choice A

The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is <u>   15   </u> ​, which is not equal to the product of the numerator of the second fraction and the denominator of the first​ fraction <u>    16    </u>

===================================================

Explanation:

We have the template \frac{P}{Q} = \frac{R}{S} which cross multiplies to PS = QR

So if \frac{3}{4} = \frac{4}{5} was true, then 3*5 = 4*4 must be true as well, and vice versa.

The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.

In short, 3*5 = 4*4 turns into 15 = 16 which is a false statement. So the original claim that \frac{3}{4} = \frac{4}{5} is also false.

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6 0
3 years ago
Julia is going to the store to buy candies. Small candies cost $4 and extra-large candies cost $12.She needs to purchase at leas
BartSMP [9]

Answer:

Small candies =9

Extra large candies =12

Step-by-step explanation:

Let small candies =x

Extra large candies =y

the number of candies is at least 20.

x+y\geq20

Cost of 1 small candy =\$4

Cost of 1 extra large candy =\$12

but she has only \$180 to spend

4x+12y\leq180

Solve for

x+y=20.......(1)\\4x+12y=180.....(2)\\eqn(2)-eqn(1)\times4\\8y=100\\y=\frac{100}{8} \\y=\frac{25}{8} \\from\ eqn(1)\\x+\frac{25}{2}=20\\ x=20-\frac{25}{2} \\x=\frac{15}{2}

Since number of candies should be integer.

let x=7,y=13

total spend 4\times7+12\times13=184 which is more than \$180, so this combination is not possible.

let\ x=8,y=12\\8\times4+12\times12=176

She has \$4 more so she can buy 1 more small candy.

Hence  small candy =9

extra large candy =12

4 0
2 years ago
Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15. How much money did Chris spend on her new
ollegr [7]

Answer:

Christ spent $51 on her new school clothes.

Step-by-step explanation:

12 * 3 = 36

36 + 15 = 51

3 0
2 years ago
Read 2 more answers
If $5000 is invested at a rate of 3% interest
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The value of the investment in 5 years is $5805.9

<h3>What is Interest ?</h3>

Interest is the amount earned over years for the amount invested.

It is given that

Principal = $5000

Rate = 3%

Compounded Quarterly

Time = 5 years

Amount = ?

The Amount is given by the formula

Amount = P( 1 + (r/n))ⁿˣ

Here n = t = time period for which the investment has been done.

Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵

Amount = 5000 (1.16)

Amount = $ 5805.9

Therefore , The value of the investment in 5 years is $5805.9

To know more about Interest

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7 0
1 year ago
ONCE I HIT 30 ILL GIVE YOU 100 Points if i get a good grade Maybe even more
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Answer:

The correct anwser is 2x+5<4

Step-by-step explanation:

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