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3 years ago

Why is the product of two rational numbers always rational?

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

5 0

Answer:

all three blanks are integers

Step-by-step explanation:

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are _integers____, and b and d are not 0. The product of the numbers ac/bd, where bd is not 0. Both ac and bd are integers_____, and bd is not 0. Because ac/bd is the ratio of two integers_____, the product is a rational number.

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After a weekend at the beach, Lisa has $274 less than she had when she left. The equation that represents this situation is e=s−

Anon25 [30]

Well that's easy it basically tells you all you gotta do is plug in the numbers

"E" is what you're trying to find out so you don't know that one it stays the same.

"S" is the amount of money she started with and it says she started with $500

And then she has $274 less than she started with.

E = 500 - 274

E= 226

She is left with $226 after her weekend at the beach.

~Hope it helped~

6 0

3 years ago

H=10 cm<br>T = 7 cm<br>A. Calculate the volume of the cylinder

Brut [27]

Answer:

70cm

Step-by-step explanation:

8 0

3 years ago

The angle measurements in the diagram are represented by the following expressions.

nataly862011 [7]

Answer:

x=10

A = 84

Step-by-step explanation:

A and B are supplementary angles so they add to 180 degrees

A + B =180

2x+76 + 5x+34 = 180

Combine like terms

7x+ 110 = 180

7x+110-110 = 180-110

7x = 70

Divide by 7

x = 10

Now find A

A = 5x+34

A = 5*10 +34

= 50+34

A = 84

7 0

3 years ago

Read 2 more answers

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

8 0

3 years ago

How do I find the area

inn [45]

Wasssaa,

Steps:

To find the area of a triangle you multiply the base times the height, in this case the is (19m)
and the height is (11m), after you multipy those numbers you divide by (2)
$(19m \times 11m) \div 2$
$\frac{209 }{2}$

Answer:
$104.5sq \: m$
Hope this helped you
:D

8 0

3 years ago