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3 years ago

If a/b >c/d are both positive fractions, do we have ad > bc? If so, why?

Mathematics

1 answer:

Helen [10]3 years ago

3 0

Answer: NO. if a/b > c/d, a/d is not greater than b/c

Step-by-step explanation: The the larger the number in the denominator, the smaller its value as it is represents fractional value, not a whole number. So when a "small" numerator is moved to a denominator, it increases in size, and the large number in the numerator moved to a denominator decreases in size.

Moving the denominator from a smaller fraction to the left side will diminish the value of the new fraction.

3/4 > 1/2 but 3/2 < 4/1

7/8 > 5/6 but 7/6 < 8/5

1/2 > 1/4 but 1/4 < 2/1

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Terrance picked 54 apples. He kept a apples for himself and gave each of 6 friends an equal number of apples. How many apples di

pentagon [3]

we are given

total number of apples =54

Let's assume each friend receives =x

He kept a apples for himself and gave each of 6 friends an equal number of apples

so, we will get equation as

$6x=54$

now, we can solve for x

$x=9$

each friend receives is 9 apples.........Answer

3 0

3 years ago

Read 2 more answers

What can be represented as fractions, rational numbers, or irrational numbers?

Delvig [45]

Hmm question is a little confusing but fractions can be represented as division or a part of somthing, like 4 pieces of an 8 slice pizza, or you have 8 peices of pizza and you divide them by 4. Im pretty sure a rational number is any number that can be representated as a fraction. an irrational number is something you cant express as a fraction like the square root of a number or pi.

3 0

2 years ago

If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x^2-14x+74, find the number of units manufact

vova2212 [387]

<h2>Steps:</h2>

So for this, since C(x) is the cost, and we are given the cost of $9050, we will plug 9050 into C(x) and solve for x:

$9050=x^2-14x+74$

So for this, I will be completing the square. Firstly, subtract 74 on both sides of the equation:

$8976=x^2-14x$

Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, you need to divide the x coefficient by 2, square the quotient, then add the result on both sides of the equation. In this case:

-14 ÷ 2 = -7, (-7)² = 49

$9025=x^2-14x+49$

Next, factor the left side:

$9025=(x-7)^2$

Next, square root both sides:

$\pm\ 95=x-7$

Next, add 7 to both sides:

$7\pm 95=x$

Next, solve the left side twice. Once with the plus symbol, once with the minus symbol:

$102,-88=x$

<h2>Answer:</h2>

Since we cannot have negative units in this context, <u>at the cost of $9050 you can manufacture 102 units.</u>

8 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is Amie found the volume of the sphere.

vredina [299]

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

7 0

3 years ago

Read 2 more answers

Please help!!!!! ASAP

WARRIOR [948]

Answer:

Step-by-step explanation:

asap

8 0

3 years ago