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atroni [7]
3 years ago
14

Solve the compound inequality. 4 x - 6 ≥ −10 or 3 x +5 ≤ −10

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
Hello : 
<span> 4 x - 6 ≥ −10  .....(1)
 or
 3 x +5 ≤ −10 ....(2)
(1) : 4x </span>≥ -4
   x ≥ -1 
(2) : 3x ≤ -15
x ≤ -5
conclusion : x ≤ -5 or  x ≥ -1 
the set solution is :   ] -∞, - 5 ] ∪<span>[-1,+∞[</span>

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k0ka [10]

Answer:

a) 13/20 and 0.65

b) $13

c) $33

d) $455

e) $3.3

f) $29.7

g)$339.5

Step-by-step explanation:

Each hoodie costs the trader $20 and he intends to sell it at a Percentage markup of 65%

a) Write a percentage Markup value as a

I) Fraction

Percentage Markup = 65%

65% = 65/100 = 13/20

II) Decimal

= 65% = 65/100 = 0.65

b) Calculate the value of Markup of each hoodie

This is calculated as:

65% × Cost price

= 65% × $20

0.65 × $20 = $13

c) What price would the hoodies be?

Cost price of hoodie = $20

Percentage Markup = 65%

The selling price = x

Percentage Markup = Selling price - Cost price/Cost price

65% = x - $20/$20

Cross Multiply

0.65 × $20 = x - $20

13 = x - $20

x = $20 + 13

x = $33

Therefore, the selling price = $33

d) If the seller sells 35 hoodies on her first day, what is her profit.

Profit = Selling price - Cost price

Profit = $33 × 35 hoodies - $20 × 35 hoodies

Profit = $1155 - $700

Profit = $455

We are told that to improve sales, the seller gives a discount of 10% on selling price

Hence:

Selling price = $33

e) What is the discount amount for each hoodie

Discount Amount = % Discount × Selling price

Discount Amount = 10% × $33

= $3.3

f) What is the new selling price =

Old selling price - Discount amount

= $33 - $3.3

= $29.7

g) What profit does the seller make on each hoodie after the 10% discount for 35 hoodies

Profit = Selling price - Cost price

Profit = $29.7 × 35 hoodies - $20 × 35 hoodies

Profit = $1039.5 − $700

= $339.5

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John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite
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<span>The proper sequence John would use to find the measure he wants.is given as follows:

Step 1: </span><span>John drives a stake opposite the tree to establish a line between two points.

Step 2: </span><span>John uses a compass to walk away from the stake at a right angle.

Step 3: </span><span>On the path John walks until he finds a line of sight to the tree that equals 60 degrees.

Step 4: </span><span>John drives a second stake in the ground.

Step 5: </span><span>John measures the distance between the two stakes.

Step 6: </span><span>John multiplies the distance between the two stakes by 1.7 to find the distance.</span>
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3 years ago
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12 possible outcomes
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8 sides of the dice are less than 9 out of 12 total sides
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(2) The diagonals are congruent

(3) The opposite angles are supplementary

So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".

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