All categories

2 years ago

The absolute value of a negative fraction is always greater than 1, true of false?!

Mathematics

1 answer:

Fantom [35]2 years ago

6 0

Answer: False

Step-by-step explanation: False because zero is negative or positive. The absolute value of any number could also include the absolute value of 0, which would be 0. Thus, the absolute value of any rational number is not always greater than zero, it can be zero as well. However, it is true that the absolute value of any rational number can never be negative.

Rational Number definition: Rationals contain whole numbers, integers, decimals, fractions, basically most numbers or any numbers.

You might be interested in

The product of the length of 2 unequal poles before cutting 2 cm from each was 285 cm. Their present sum after cutting 2cm from

labwork [276]

Answer:

15 cm

Step-by-step explanation:

The length of the shorter pole can be found by forming and subsequently solving 2 equations.

Start by defining the variables that are going to be used in the working.

Let the original length of the shorter pole be a cm and that of the longer pole be b cm.

'Product' refers to the multiplication operation.

ab= 285 -----(1)

On the other hand, 'sum' refers to the addition operation.

Length of shorter pole after cutting= a -2

Length of longer pole after cutting= b -2

(a -2) +(b-2)= 30

a +b -4= 30

Adding 4 to both sides:

a +b= 30 +4

a +b= 34 -----(2)

From (2):

a= 34 -b -----(3)

Let's solve by substitution:

Substitute (3) into (1):

b(34 -b)= 285

Expand:

34b -b²= 285

b² -34b +285= 0

Factorise:

(b -15)(b -19)= 0

b -15= 0 or b -19= 0

b= 15 or b= 19

Substitute into (1):

a(15)= 285 or a(19)= 285

a= 285 ÷15 or a= 285 ÷19

a= 19 or a= 15

Since a <b, a= 15 and b= 19.

Thus, the length of the shorter pole is 15 cm.

8 0

2 years ago

The clothing store marked down all their shirts by 30%. If a shirt originally cost $24, what is the sale price of the shirt?

Alona [7]

Answer:

$16.80

Step-by-step explanation:

Since the shirts are marked down by 30%, you need to multiply the cost of the shirt by the percentage.

$24 × 0.3 = $7.20

Next, subtract the discount from the original price to find the discounted price.

$24 - $7.20 = $16.80

3 0

3 years ago

A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.

seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

$x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}$

$\frac{x}{y}=\frac{1}{8}:\frac{3}{8}$

$\frac{x}{y}=\frac{1}{3}$

$x=\frac{y}{3}$ -----> equation A

$\frac{x}{z}=\frac{1}{8}:\frac{1}{2}$

$\frac{x}{z}=\frac{1}{4}$

$x=\frac{1}{4}z$ -----> equation B

$\frac{y}{z}=\frac{3}{8}:\frac{1}{2}$

$\frac{y}{z}=\frac{3}{4}$

$y=\frac{3}{4}z$ -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

$z=4$

Find the value of x

substitute the value of z in equation B

$x=\frac{1}{4}(4)$

$x=1$

Find the value of y

substitute the value of z in equation C

$y=\frac{3}{4}(4)$

$y=3$

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

Find the value of x

substitute the value of y in equation A

$x=\frac{6}{3}=2$

Find the value of z

substitute the value of x in equation B

$2=\frac{1}{4}z$

solve for z

$z=8$

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

$x=1\frac{1}{2}$

convert to an improper fraction

$x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

Find the value of y

substitute the value of x in equation A

$\frac{3}{2}=\frac{y}{3}$

$y=\frac{9}{2}$

convert to mixed number

$y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}$

Find the value of z

substitute the value of x in equation B

$\frac{3}{2}=\frac{1}{4}z$

$z=6$

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

3 years ago

Read 2 more answers

Primul numar este 60,al doilea numar este de 1,25 ori mai mare decit primul,iar al treilea reprezinta 40% din suma celor doua nu

snow_tiger [21]

I don't know what you said

7 0

3 years ago

Which angles are vertical angles?

Evgen [1.6K]

Answer:

i believe the answer is 2 and 3

Step-by-step explanation:

Hope that helps!

5 0

2 years ago

Read 2 more answers

The absolute value of a negative fraction is always greater than 1, true of false?!​

The absolute value of a negative fraction is always greater than 1, true of false?!