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3 years ago

Which two ratios represent quantities that are proportional?

Mathematics

1 answer:

MAVERICK [17]3 years ago

8 0

Answer:

D. 45/18 = 35/14

Step-by-step explanation:

<u>Lets simplify the ratios where possible and compare:</u>

A. 3/4 = 9/12 ≠ 5/12
B. 32/20 = 16/10 ≠ 22/10
C. 7/5 = 14/10 ≠ 14/9
D. 45/18 = 5/2 (divide by 9) and 35/14 = 5/2 (divide by 7)

The last two ratios represent proportional quantities

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Determine the price of a $35 basketball that is on sale for 50% off the regular price.

alexira [117]

Answer:

$17.5

Step-by-step explanation:

50 is 1/2 of 100, so just divide 35 by 1/2

6 0

3 years ago

-3² = -1*3² = -1 * 9 = -9 (order of operations) while (-3)² = (-3)(-3) = +9 or 9

mixas84 [53]

Answer: 20

Step-by-step explanation:

Assuming your question is:

Z² - X² - XY X = -2, Y = 3, Z = -4

Substitute values

(-4)² - (-2)² - {(-2)(3)}

{(-4)(-4)} - {(-2)(-2)} - (-6)

(16) - (4) + 6

16 - 4 + 6

6 0

3 years ago

When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a

k0ka [10]

Answer:

$z=\frac{x-\mu}{\sigma}$

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

$X \sim N(32,5)$

Where $\mu=32$ and $\sigma=5$

We want to find this probability:

$P(17$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

8 0

3 years ago

Write 28/16 as a mixed number in simplest form.

MatroZZZ [7]

The right answer is Option A.

Step-by-step explanation:

Given fraction is;

$\frac{28}{16}$

Both are multiples of 4, therefore

$\frac{28}{16}*\frac{4}{4}\\\\\frac{7}{4}$

A mixed number (fraction) is a combination of a whole number and a proper fraction of the same sign.

$\frac{7}{4}=1\frac{3}{4}$

$\frac{28}{16}$ as a mixed number in simplest form is $1\frac{3}{4}$ .

The right answer is Option A.

Keywords: fraction, mixed number

Learn more about fractions at:

#LearnwithBrainly

3 0

3 years ago

Does the ordered triple (0, -4,0) satisfy the following system of equations?

Goryan [66]

Answer:

The ordered triple does not satisfy the system of equations

Explanation:

The given ordered triple satisfy the given system of equations if the substitution x = 0, y = -4, and z = 0 satisfy the equations simultaneously. If anyone fails, then it does not satisfy

For the first equation:

$3(0)-2(-2)+4(0)=-4$

This is satisfied

For the second equation:

$-2=-\frac{0}{3}-2$

This is also satisfied

For the third equation:

$2(0)+2(0)=-4$

This is NOT satisfied

Therefore, the ordered triple does not satisfy the system of equations

8 0

1 year ago

Which two ratios represent quantities that are proportional?​

Which two ratios represent quantities that are proportional?