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4 years ago

2(-3n-5)-5(4n-8) Simplify

Mathematics

2 answers:

Mnenie [13.5K]4 years ago

7 0

2(-3n-5)-5(4n-8)
(-6n-10)+(-20n+40)
-26n-30

horsena [70]4 years ago

4 0

-6n -10 - 20n + 40
-26n + 30

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A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much

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Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

$8.99x + 3.99y \leq 60$ ;......[1] where x, y are natural number.

x-intercept:

Substitute the value y= 0 in [1] and solve for x;

$8.99x + 3.99(0) \leq 60$

$8.99x \leq 60$

Simplify:

$x \leq 6.667$

Since, x is in natural number;

$x \leq 7$

Similarly.

For y-intercept:

Substitute the value x= 0 in [1] and solve for x;

$8.99(0) + 3.99y \leq 60$

$3.99y \leq 60$

Simplify:

$y \leq 15.037$

$y \leq 15$

Therefore, we have

$8.99x + 3.99y \leq 60$ ;

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3 years ago

What is the probability of flipping a coin twice and landing on heads both times?

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Answer:

I think it would be B.

Step-by-step explanation:

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3 years ago

Divide $8 in the ratio 2:3

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Answer:

Step-by-step explanation:

divide $8 in the ratio 2:3

8 : (2 + 3) = 1.6 (unity)

1.6 * 2 = 3.2 (ratio2)

1.6 * 3 = 4.8 (ratio 3)

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the answer is good

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2 years ago

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

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Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

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Each mixer produced nets the firm= $6

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$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

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Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

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