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2 years ago

What is the solution set of (x - 2)(x - 3) = 2? {1, 4} {2, 3} {4, 5}

2 answers:

5 0

<span>(x - 2)(x - 3) = 2

x^2 - 2x - 3x + 6 - 2 = 0
x^2 - 5x + 4 = 0
(x -4)(x - 1) = 0
x - 4 = 0; x = 4
x - 1 = 0; x =1

{1,4}

answer
</span><span>{1, 4}</span>

Delvig [45]2 years ago

5 0

(x - 2)(x - 3) = 2? {1, 4} {2, 3} {4, 5}

(1,4)

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6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

$a=\$4.25$

$b=\$2.25$

$c=\$4.00/lb$

we know that

He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

$a+b+cx \leq 8$

substitute the given values

$4.25+2.25+4.00x \leq 8$

Solve for x

Combine like terms

$6.50+4.00x \leq 8$

Subtract 6.50 both sides

$4.00x \leq 8-6.50$

$4.00x \leq 1.50$

Divide by 4 both sides

$x \leq 1.50/4.00$

$x \leq 0.375\ lbs$

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0

2 years ago

The selling price of a box of crackers is $1.75 You mark the crackers up to $2.54 . What is the markup percentage?

Aleks04 [339]

The markup percentage is 45.14%

Step-by-step explanation:

The given is:

The selling price of a box of crackers is $1.75
You mark the crackers up to $2.54

We need to find the markup percentage

The markup percentage = $\frac{New-Old}{old}$ × 100%

∵ The selling price of a box of crackers is $1.75

∴ Old = 1.75

∵ You mark the crackers up to $2.54

∴ New = 2.54

- Substitute these values in the rule above

∵ The markup percentage = $\frac{2.54-1.75}{1.75}$ × 100%

∴ The markup percentage = $\frac{0.79}{1.75}$ × 100%

∴ The markup percentage = 0.4514 × 100%

∴ The markup percentage = 45.14%

The markup percentage is 45.14%

Learn more:

You can learn more about percentage in brainly.com/question/1834017

#LearnwithBrainly

8 0

2 years ago

Read 2 more answers

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest

Mice21 [21]

A = a^2.....where " a " is the length of one side
A = 79

79 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 79 = a
8.89 = a

so the length of one side is approximately 8.89 ft <==

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2 years ago

An hourglass composed of two identical cones is 18 cm tall.the radius of each cone is 4cm if you want to fill the bottom half of

Kitty [74]

Check the picture below.

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2 years ago

7526.442 rounded to the nearest hundredth

AlladinOne [14]

Number > 5 - round up
Number = 5 - round up
Number < 5 - round and keep the number the same

7526.442

Hundredth = 2nd decimal place = 4

2 < 5
Round and keep the number the same

7526.44

3 0

2 years ago