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4 years ago

Arrange the rational numbers −7/10, 5/−8, 2/−3in ascending order.

Mathematics

1 answer:

lilavasa [31]4 years ago

7 0

Answer:

-8 / -7 / -3 / 2 / 5 / 10

Step-by-step explanation:

you have to arrange all the numbers from the smallest number to the greatest number, but in negative, always bigger number are considered small.

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Can i please get help with this Question?

sashaice [31]

So firstly, I'm going to be converting the mixed number into an improper fraction. To do this, multiply the whole number by the denominator and then add that product with the numerator and that will be your new numerator. In this case:

3 × 8 = 24, 24 + 3 = 27. $\frac{-27}{8}$

Now since they have the same denominator, you can subtract the numerators.

$\frac{-27}{8}-\frac{7}{8}=\frac{-34}{8}$

Now simplify the number as such:

$\frac{-34}{8}\div\frac{2}{2}=\frac{-17}{4}$

<u>In short, your answer is -17/4, or -4 1/4.</u>

3 0

3 years ago

Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begun?

astraxan [27]

36-16=20

20•2=40

Jill started off with 40 comic books

Hope this helps!

5 0

4 years ago

Read 2 more answers

The area of a triangle is 15 square inches

babunello [35]

Answer:

6 inches

Step-by-step explanation:

The formula for the area of a triangle is

$Area = \frac{1}{2} (bh)$

b - base

h - height

the first step is to add the information that we know into the formula.

We know the area = $15 inches^{2}$ and the height = 5 inches

$15 in^{2} = \frac{1}{2} (b)(5)$

if we had both the base and the height, the next step would be to multiply

b x h then half the answer to work out the area but as we already have the area ( $15in^{2}$ ) we need to work in reverse.

15 x 2 = 30

what is 5 multiplied by to get 30?

5 x ? = 30

30 ÷ 5 = 6

∴ the base = 6inches

to check if our answer is correct, we can place these numbers into the formula

A = $\frac{1}{2} (6)(5)$

A = $\frac{1}{2} (30)$ (30 ÷ 2 = 15)

A = 15 $in^{2}$

I hope this was helpful :-)

5 0

3 years ago

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

Ipatiy [6.2K]

B = base length
a = length of the other two equal sides

The value of 'a' is larger than the value of b. This is because the base is shorter than the other two equal sides. We're told that "one of the longer sides is 6.3 cm", meaning that a = 6.3

Replace every copy of 'a' in the given equation with 6.3; isolate b
2*a + b = 15.7
2*6.3 + b = 15.7
12.6 + b = 15.7
12.6 + b - 12.6 = 15.7 - 12.6 ... see note below
b = 3.1

note: I subtracted 12.6 from both sides. This is using the subtraction property of equality.

7 0

3 years ago

Please answer a question the images.

Lyrx [107]

The distribution of the animals in the coral reef is an illustration of probability

<h3>The most likely animal</h3>

The distribution of the animals is given as:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

The animal with the highest frequency is the most likely animal.

Hence, the Yellow fish is the most likely animal.

<h3>Which is more likely?</h3>

From the question, we have:

Blue fish = 3

Eels = 3

Both animals have the same frequency.

This means that Riley has equal chance of seeing a blue fish and an eel.

<h3>The probability of seeing an animal with fins</h3>

The animal with fins are:

Blue fish = 3

Yellow fish = 7

So, the probability is:

$p = \frac{3 + 7}{3 + 7 + 1 + 3}$

$p = \frac{10}{14}$

Simplify

$p = \frac 57$

Hence, the probability of seeing an animal with fins is 5/7

<h3>The least likely animal</h3>

The animal with the least frequency is:

Sea turtle = 1

So, the likelihood is:

$p = \frac 1{14}$

Hence, the sea turtle has the least likelihood of 1/14

<h3>Animals with equal likelihood</h3>

The Blue fish and the Eels have the same frequency of 3

This means that animals have equal likelihood

<h3>The probability of seeing each animal</h3>

We have:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

Express as probability

Blue fish = 3/14

Yellow fish = 7/14

Sea turtle = 1/14

Eels = 3/14

Express the fractions as decimals

Blue fish = 0.214

Yellow fish = 0.500

Sea turtle = 0.071

Eels = 0.214

So, their likelihoods are:

Blue fish = Equally likely

Yellow fish = Certainly likely

Sea turtle = Unlikely

Eels = Equally likely