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sertanlavr [38]
3 years ago
9

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would c

ost for this car to travel 2,727 typical miles?
A. $44.44
B. $109.08
C. $118.80
D. $408.04
E. $444.40
Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:

Option D is correct.

$408.04 the gas would cost for this car to travel 2,727 typical miles

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 3 miles per second or 4 kilometer per hour

As per the statement:

A car averages 27 miles per gallon.

⇒\text{Unit rate per gallon} = 27 miles

Total distance of car travel typical miles = 2727 miles.

\text{Number of gallons}=\frac{\text{Total distance}}{\text{Unit rate per gallon}}

Substitute the given values we have;

\text{Number of gallons} = \frac{2727}{27} = 101

It is also given that if gas costs $4.04 per gallon.

then;

In 1 gallon of gas = $4.04

then;

in 101 gallons of gas = 101 \cdot 4.04 = \$408.04

Therefore, $408.04 the gas would cost for this car to travel 2,727 typical miles

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Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.
Verizon [17]

Answer:

The volume of the full bottle of Jun's favorite hot sauce in ml is \frac{10x}{9}.

Step-by-step explanation:

Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.

So, to find the volume of a full bottle of Jun's favorite hot sauce in milliliters, we can use the unitary method.

Then, 90% of the full bottle sauce is equal to x ml.

So, 1% of the full bottle sauce is equal to \frac{x}{90} ml.

Therefore, 100% of the full bottle sauce is equal to \frac{x}{90}\times 100 = \frac{10x}{9} ml.  

Therefore, the volume of the full bottle of Jun's favorite hot sauce in ml is \frac{10x}{9}. (Answer)

4 0
3 years ago
Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
Naya [18.7K]

Answer:

a) \mathbf{\mu_ \hat p = 0.6}

b) \mathbf{\sigma_p =0.01732}

Step-by-step explanation:

Given that:

population mean \mu = 30,000

sample size n = 800

population proportion p = 0.6

a)

The mean of the the sampling distribution is equal to the population proportion.

\mu_ \hat p =  p

\mathbf{\mu_ \hat p = 0.6}

b)

The standard deviation of the sampling distribution can be estimated by using the formula:

\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}

\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}

\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}

\sigma_p = \sqrt{\dfrac{0.24}{800}}

\sigma_p = \sqrt{3 \times 10^{-4}}

\mathbf{\sigma_p =0.01732}

7 0
3 years ago
What is the complete factorization of the polynomial below?<br>x^3 - 4x^2 + x-4​
postnew [5]

Answer:

<h2>B. (x-4)(x+i)(x-i) </h2>

Step-by-step explanation:

x³-4x²+x-4=

=x²(x-4)+(x-4)

=(x-4)(x²+1)

=(x+4)(x-i²)

<h3>=(x-4)(x+i)(x-i) </h3>

5 0
3 years ago
You are creating a decorative rope that is at least 20 feet long. You do not have enough 6 inch beads to make the rope, so you w
Inessa05 [86]

You can use at most 24 beads that are 10 inches long to decorate the rope.

Step-by-step explanation:

Given,

Length of rope = 120 feet

1 foot = 12 inches

20 foot = 20*12 = 240 inches

Length of bead = 10 inches

Let,

x represents the number of beads used on rope.

As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.

Length of each bead*Number of beads ≤ length of rope

10*x\leq 240\\10x\leq 240

Dividing both sides by 10

\frac{10x}{10}\leq \frac{240}{10}\\x\leq 24

You can use at most 24 beads that are 10 inches long to decorate the rope.

Keywords: inequality, division

Learn more about inequalities at:

  • brainly.com/question/10250188
  • brainly.com/question/10480770

#LearnwithBrainly

4 0
3 years ago
Mrs delles spent 120$ on a bag that was discounted 25%, what was the original price.
luda_lava [24]

Answer:

480

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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