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3 years ago

Which of the following fractions are equivalent to 15/21? Select all that apply.

Mathematics

2 answers:

nikklg [1K]3 years ago

4 0

Answer:

A and B

Step-by-step explanation:

There is an infinity number of equivalent fractions to 15/21.

To find an equivalent fraction to 15/21 , or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By dividing the original fraction by 3, we get:

$\frac{15/3}{21/3} =\frac{5}{7}$

By multiplying the original fraction by 2, we get:

$\frac{15*2}{21*2} =\frac{30}{42}$

Here is a list of the equivalent fractions of 15/21

5/7, 10/14, 15/21, 20/28, 25/35, 30/42, 35/49, 40/56, 45/63, 50/70, 55/77, 60/84, 65/91, 70/98, 75/105, 80/112, 85/119, 90/126, 95/133, 100/140 ...

Answer:

Therefore, the answer is A and B.

scoundrel [369]3 years ago

3 0

Answer:

A. 5/7
B. 30/42

Step-by-step explanation:

I just used an equivalent fractions calculator.
Please correct me if I'm wrong :)

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

500 meters divided by 10 days

Flauer [41]

Answer:

50 meters per day

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can someone help me with part b on this question please?

Galina-37 [17]

9514 1404 393

Answer:

12.0 cm

Step-by-step explanation:

The Pythagorean theorem applies:

(12 cm)² +b² = (17 cm)²

b² = (289 -144) cm² = 145 cm²

b = √145 cm ≈ 12.04 cm

b ≈ 12.0 cm . . . . rounded to 1 decimal place

8 0

3 years ago

A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn > 1.

bulgar [2K]

Answer:

1. Proved down

2. proved down

3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5

Step-by-step explanation:

Let us explain how to solve the question

∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1

→ That means we have an arithmetic sequence with constant

difference -5 and first term -20

1. → f(1) means we need to find the second term, which equal the

term - 5

∵ f(1) means n = 1

∴ f(1) = f(1 - 1) - 5

∴ f(1) = f(0) - 5

∵ f(0) = -20

∴ f(1) = -20 - 5 → Proved

2. → f(3) means we need to find the third term, which equal the

second term - 5

∵ f(3) means n = 3

∴ f(3) = f(3 - 1) - 5

∴ f(3) = f(2) - 5

→ f(2) = f(1) - 5

∵ f(1) = -20 - 5

∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5

∴ f(3) = [-20 - 5 - 5] - 5

∴ f(3) = -20 - 5 - 5 - 5 → Proved

3. → From 1 and 2 we notice that the number of -5 is equal to n,

at n = 1 there is one (-5), when n= 3 there are three (-5)

∵ n = 10

∴ There are ten (-5)

∴ f(10) = -20 - 5(10)

∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved

6 0

3 years ago

From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's

Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is x.

The horizontal change is of 602 ft.

The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

4 0

1 year ago