All categories

4 years ago

Dividing fractions by whole

Mathematics

1 answer:

Oxana [17]4 years ago

6 0

Answer:

Step-by-step explanation:

<h2><u>To Divide a Fraction by a Whole Number:</u></h2><h2>1. Multiply the bottom number of the fraction by the whole number.</h2><h2>2. Simplify the fraction (if needed)</h2>

You might be interested in

It is 70cm long and has a circumference of 40cm what is the radius

Aleksandr [31]

The legnth is irrelivant

we know that
Circumference=2 times pi time radius

c=40
40=2 times pi times radius
divide both sides by 2
20=pi times radius
divide both sides b pi
20/pi=radius

the radius is 20/pi cm or aproximately 6.366199048 cm

4 0

3 years ago

Which equation correctly represents the distance between −15.1 and −3.9 on a number line?

Korvikt [17]

Here what we observe

-3.9>-15.1

So as we know about subtracting lowest number is subtracted from highest no

So here

$\\ \tt\longmapsto -3.9-(-15.1)=|-11.2|=11.2$

Distance must be positive

5 0

3 years ago

Please prove this........

Crazy boy [7]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π → C = π - (A + B)

→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))

→ sin C = sin (A + B) cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]

Use the following Double Angle Identity:

sin 2A = 2 sin A · cos A

<u>Proof LHS → RHS</u>

LHS: (sin 2A + sin 2B) + sin 2C

$\text{Sum to Product:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-\sin 2C$

$\text{Double Angle:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-2\sin C\cdot \cos C$

$\text{Simplify:}\qquad \qquad 2\sin (A + B)\cdot \cos (A - B)-2\sin C\cdot \cos C$

$\text{Given:}\qquad \qquad \quad 2\sin C\cdot \cos (A - B)+2\sin C\cdot \cos (A+B)$

$\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]$

$\text{Sum to Product:}\qquad 2\sin C\cdot 2\cos A\cdot \cos B$

$\text{Simplify:}\qquad \qquad 4\cos A\cdot \cos B \cdot \sin C$

LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C $\checkmark$

7 0

4 years ago

Elena has written 3 sports books for kids. One book is about soccer, one is about baseball, and one is about basketball. Elena h

Mamont248 [21]

Answer:

1293 soccer books

Step-by-step explanation:

The tricky part about questions like this is: how do I assign variables to the three types of book?

You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book." The number of soccer books is being described by referring TO the number of baseball books. Pick a variable and assign it to the item being REFERRED TO!

x = number of baseball books

Then 3x = number of soccer books. The number of basketball books is the same, so 3x = number of basketball books. Here's the list...

x = number of baseball books

3x = number of soccer books

3x = number of basketball books

The total of these is 3017, so

x + 3x + 3x = 3017

7x = 3017

x = 431

Ah! But don't forget to look back at the question: it asks for the number of SOCCER books! That's 3x, so 3(431) = 1293.

5 0

3 years ago

A researcher wants to obtain a sample of 30 preschool children consisting of 10 two-year-old children, 10 three-year-old, and 10

VMariaS [17]

Answer:

Quota sampling

Step-by-step explanation:

Quota sampling is a type of sampling method in which a representative data is collected from a group. It is a non probability based sampling method, a type of stratified sampling. Quota sampling is required when researchers are working with limited time and are without a sampling frame. Quota sampling method helps to determine the characteristics of a subgroup under research. It is an highly accurate method of sampling.

3 0

3 years ago