The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3604 to rent trucks plus an additional fee of $75.50 for each ton of sugar. The second company does not charge to rent trucks but charges $300.75 for each ton of sugar.

For what amount of sugar do the two companies charge the same?
tons
What is the cost when the two companies charge the same?
$

Answers

Answer 1

Answer: 14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Answer 2

Answer:

16 pounds of sugar

The initial cost to transport it would be $4812

Okay

So lets do company 1=a

2=b

So the equation for company a is

3604+75.5x

The second one is

300.75x

Now I would find the LCM

So I just predicted (guess and check)

so obviously 15 can be a good shot but that off a little bit,

16

so if you plug in 16 for each options for X

3604+75.5*16= 4812

The second company

300.75*16=4812

SO their the same

So 4812 cost, 16 tons


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The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?

Answers

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]

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Answer:

She spent 25 dollars from her pocket. No profit

Step-by-step explanation:

What does 58/6 equal

Answers

Answer:

9.66666666667

Step-by-step explanation:

The fraction 58

6

is equivalent to 9 2

3

.

This fraction is a improper fraction once the absolute value of the top number or numerator (58) is greater than the absolute value of the bottom number or denomintor (6). So, the equivalent fraction is a mixed number which is made up of a whole number (9) and a proper fraction (2

3

).

The fraction 58

6

is equal to 58÷6 and can also be expressed as a decimal as 9.66667 and expressed as a percentage as 966.7%.

Enter a numerical expression for the word expression.
11 decreased by 8

Answers

A numerical expression is a mathematical statement involving only numbers and one or more arithmetic operation symbols+,−,×,÷. A numerical expression always represents a particular number. For example, the numerical expression 5 + 20 − 9 is equal to the number 16 when simplified.

In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Answers

Answer:

0.986

Step-by-step explanation:

Probability of at least one being vac = 1 - Probability of all 5 not vac

1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986

The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.

Given that in a population, 57% people were vaccinated.

5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.

To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.

The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.

So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.

The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.

Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:

P(Not Vaccinated) = 0.43⁵ = 0.043855

The probability that at least one of them has been vaccinated is the complement of the above probability:

P(at least one vaccinated) = 1 - P(not vaccinated)

= 1 - 0.043855 = 0.956145

Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.

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Step-by-step explanation:

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Step-by-step explanation:

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A) Undefined
B) 0
C) -2
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Answer:

A

Step-by-step explanation:

Answer:

A) Undefined

Step-by-step explanation:

A vertical slope doesn't have a slope

A bag of garden soil weighs 44 pounds and holds 5 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.

Answers

Answer:

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volume=75 cubic feet

Step-by-step explanation:

44 × 15 = 660

5 × 15 = 75

The weight of 15 bags of garden soil is approximately 297.9 kilograms.The volume of 15 bags of garden soil is approximately 2.78 cubic yards.

To find the weight of 15 bags of garden soil in kilograms, we can use the conversion factor that 1 pound is equal to 0.45359237 kilograms.

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Answer:

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Answer:

-6x+14<-28

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Step-by-step explanation:

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Step-by-step explanation:

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xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of basket xavier made this season.​

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Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25

Answers

Answer:

1) Yes

2) No, this polynomial has complex roots

3) No, this polynomial has irrational roots

Step-by-step explanation:

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

What is Function?

A relation between a set of inputs having one output each is called a function.

Functions are given as;

f (x) = 4x² - 25

g (x) = 4x² + 25

h (x) = 3x² - 25

Now,

a. f (x) = 4x² - 25

To find the roots we can set up 0,

f (x) = 4x² - 25 = 0

4x² - 25 = 0

4x² = 25

Divide by 4,

x² = 25/4

Take square root both side,

x = √25/4

x = ±5/2

Thus, The function has rational roots.

So, Rational roots theorem provide a complete list of all roots.

b) g (x) = 4x² + 25

To find the roots we can set up 0,

4x² + 25 = 0

4x² = - 25

Divide by 4,

x² = - 25/4

Taking square root,

x = √-25/4

x = ±5i/2

Thus, The function has complex roots.

So, Rational roots theorem does not provide a complete list of all roots.

c) h (x) = 3x² - 25

To find the roots we can set up 0,

3x² - 25 = 0

3x² = 25

Divide by 3,

x² = 25/3

x² = 8.333

Take square root both sides,

x = √8.333

x = ±2.89

Thus, The function has irrational roots.

So, Rational roots theorem does not provide a complete list of all roots.

Therefore,

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

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What is the answer to this Question?


8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22

Answers

Answer:

Here

Step-by-step explanation:

Let's solve your equation step-by-step.

8−6(x−4)=2x−2(4x−5)+22

Step 1: Simplify both sides of the equation.

8−6(x−4)=2x−2(4x−5)+22

8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)

8+−6x+24=2x+−8x+10+22

(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)

−6x+32=−6x+32

−6x+32=−6x+32

Step 2: Add 6x to both sides.

−6x+32+6x=−6x+32+6x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

-3g = 9 what does g =

Answers

Answer:

g=-3

Step-by-step explanation:

-3g=9

divide through by-3

g=9/-3

g=-3

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3g=9  Equation/Question

Step 2

-3g=9  Simplify

-3g=9

Step 3

-3g =9   Divide by 3

answer

-3

Hope this helps

Help!!!
The bike store marks up the wholesale cost of all of the bikes they sell by 50%. Andre wants to buy a bike that has a price tag of $250. What was the wholesale cost (before the price markup) of this bike? Round to the nearest hundredth (cent). Remember your units ($ sign).

The bike store marks up the wholesale cost of all of the bikes they sell by 50%. Andre wants to buy a bike that has a price tag of $250. If the bike is discounted (on sale) by 40%, how much will Andre pay (before taxes)?

With a coupon, you can get a pair of shoes that normally costs $184 for only $114. What percentage was the discount? Round to the nearest HUNDREDTH. Remember your units (% sign).

Answers

9514 1404 393

Answer:

  a) $166.67

  b) $150

  c) 38.04%

Step-by-step explanation:

a) The selling price (s) is the sum of the wholesale price (w) and the markup (m).

  s = w + m

We have ...

  250 = w + 0.50×w

  250/1.50 = w = 166 2/3 ≈ 166.67

The wholesale cost of the bike is $166.67.

__

b) The price of the bike after the discount is 100% -40% = 60% of the tagged price:

  0.60 × $250 = $150 . . . . . the discounted price

(Aside: we note this is less than the wholesale price, so the store is taking a loss on the bike when it is discounted this much.)

__

c) The percentage change is found by ...

  percent change = ((new value)/(old value) -1) × 100%

  = (114/184 -1) × 100% = (0.619565 -1) × 100% ≈ -38.04%

The discount is about 38.04%.

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Answers

do you move the 6 for the 2?

Step-by-step explanation:

I'm sorry if its wrong

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Answers

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Step-by-step explanation:

Find the 43rd term in the sequence: -6, -3, 0,...

Answers

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Step-by-step explanation: 43•3=129

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