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3 years ago

Help please, I need help

Mathematics

2 answers:

BARSIC [14]3 years ago

6 0

Answer:

Step-by-step explanation:

-8 < |8|

-|-4| < -2

-7 > -9

absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.

now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.

Lesechka [4]3 years ago

4 0

Answer:

1. <

2. <

3. >

Step-by-step explanation:

-8 is smaller than 8

the absolute value of -4 is 4, but there is another minus, so it becomes -4. -4 is smaller than -2

-7 is bigger than -9

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3. An exclusive clothing boutique triples the price of the items it purchases

Juli2301 [7.4K]

Answer:

a) MARKUP PERCENT = 200%

b) If the cost price of clothing A = $10

then its retail price = $30

If the cost price of clothing B = $25

then its retail price = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now, boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value = 3 a

a) MARK UP Percentage = $(\frac{\textrm{SP - CP}}{CP}) \times 100$

$\implies \% = (\frac{3a-a}{a} ) \times 100 = 200 \%$

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

If the cost price of clothing A = $10

then its retail price = 200% of 10 + 10 = 20 + 10 = $30

If the cost price of clothing B = $25

then its retail price = 200% of 25 + 25 = 50 + 25 = $75

7 0

3 years ago

The measure of the supplement of an angle is 84° less than the measure of the angle. Find the measures of the angles

babunello [35]

Let the measure of angle be 'x'

Since, the measure of the supplement of an angle is 84° less than the measure of the angle.

Therefore, measure of supplement of x = x - 84°

The measure of two supplementary angles is 180 degrees.

$x + x -84^\circ = 180^\circ$

$2x -84^\circ = 180^\circ$

$2x =84^\circ + 180^\circ$

$2x =264^\circ$

$x =132^\circ$

So, the measure of angle = $x =132^\circ$

Its supplement = x - 84° = 132° - 84°

= 48°

So, the measure of supplement of angle is 48 degrees.

6 0

3 years ago

the first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the

Shtirlitz [24]

Start by representing the lengths of the three sides of your triangle:

first side: x-4 (inches)
second side: x (inches)
third side: (x-4) + 3 (inches)

Add these three quantities up to obtain a formula for the perimeter, and set your sum equal to the given perimeter (15 inches):

x-4 + x + x-4 -3 = 15

3x-11=15
3x=26
x=26/3

Thus, the length of the 2nd side is 26/3; that of the first side is 26/3-4, or 14/3; and that of the third side is 14/3+3, or 23/3 (all measurements in inches).

3 0

3 years ago

Read 2 more answers

What is the discriminant of the quadratic equation 2x + 5x^2=1?

Natalka [10]

Answer:

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110

sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.

3 0

3 years ago