A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?

Answer:

returning the collateral

Answer:

It equals 1.66666666666...

But you can round it to 1.7 if your rounding to the nearest tenth.

Yep, it's C. The answer is C

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

Answer:

Step-by-step explanation:

The exponent of 1 can be ignored. This means we're simplifying ...

  [tex]\left(\left(\dfrac{3}{4}\right)^{-2}+\dfrac{1}{\left(\dfrac{3}{4}\right)}\right)^{3/4}=\left(\dfrac{16}{9}+\dfrac{4}{3}\right)^{3/4}=\left(\dfrac{28}{9}\right)^{3/4}\\\\=\left(\dfrac{28\cdot9}{3^4}\right)^{3/4}=\boxed{\dfrac{252^{3/4}}{27}}\qquad\text{rational exponent form}\\\\=\boxed{\dfrac{\sqrt[4]{252^3}}{27}=\dfrac{\sqrt[4]{16003008}}{27}}\qquad\text{radical form}[/tex]

Answer:

10

Step-by-step explanation:

Answer:

20% of the invited people did not attend

Step-by-step explanation:

5 out of 25 people invited didn't attend Glen's party. That means the following:

[tex]\frac{5}{25}[/tex]  people didn't come which simplifies to  [tex]\frac{1}{5}[/tex]

Multiply [tex]\frac{1}{5}[/tex] by the giant one [tex]\frac{20}{20}[/tex] so the denominator is 100 which is the denominator used to find percentages.

You end up with [tex]\frac{20}{100}[/tex]

[tex]\frac{20}{100}[/tex] = 20%

20% is the percentage of the people whom Glen invited did not attend the party.

To find the percentage of people who did not attend the party, we will divide the number of people who did not attend (5) by the total number of people invited (25), and then multiply by 100.

Percentage = (Number of people not attended / Total number of people invited) × 100

Percentage = (5 / 25) × 100

Percentage = 20%

So, 20% of the people whom Glen invited did not attend the party.

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#SPJ3

Answer:

X = -1

Step-by-step explanation:

y - 3 = 1/2 (x - 7)

x would equal -1.

Answer:

Number of rotations: 5

Slope: 1/2

Step-by-step explanation:

Answer: why did you ask twice for the same problem

Step-by-step explanation:

Answer:

[tex] \: \: \: \: \: \: [/tex]

The business owners that would provide a holiday gift to their employees this year is 21.

Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.

In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.

35% x 60

0.35 x 60 = 21 people

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If a package is damaged, the probability that it came from Manufacturer A is 62.5%.

Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:

Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.

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Answer:

12.5%

Step-by-step explanation:

Answer:

q=0

Step-by-step explanation:

-----------------------------

q - 10 = - 10

q = 0

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Answer:

Step-by-step explanation:

All magnets have two poles -- arbitrarily called North and South; a magnet is characterized by the magnetic force it creates.

Answer:

155.055

Step-by-step explanation:

hope this helps

Answer:

155.055

Step-by-step explanation:

Answer:

0.400

Step-by-step explanation:

Slope = 0.800/2.000 = 0.400

 x-intercept = 4/2 = 2

 y-intercept = 4/-5 = -0.80000

Answer:

Negative reciprocals

Answer:

2

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

25

Answer:

a.

Step-by-step explanation:

this is a line going from -infinity to +infinity in x and in y direction.

for b or c to be right the function would have to be a single point, as nothing else is valid as value.

Answer:

Total Cost = $1605

Step-by-step explanation:

Total Cost = Cost of the Computer +  (Cost of the computer × tax %)

Total Cost = $1500 + ($1500 × .07)

Total Cost $1500 + $105

Total Cost = $1605

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

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[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Answer:

  a) yes, 2, 1/2

  b) b = 2t; t = 1/2b

Step-by-step explanation:

a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...

  b = 2t

This is of the form required for a proportional relation: y = kx, with a value of k=2.

__

If we divide the above equation by 2 on both sides, we get ...

 1/2b = t

This is also a proportional relation, with a constant of proportionality of 1/2.

Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.

__

b) As we saw above, the equations can be ...

 b = 2t

  t = 1/2b

Answer:

10m^3-15m^2

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Have a nice day

Answer:

2.1

hope this helped

Answer:

126 degrees

Step-by-step explanation:

first we should find the measurements of these angles

so (I know these are the names of lines but there's no name for these angles, that's why I'm addressing them with the name of each one's nearest line name)

C= 90 degree

B= 65 degree

A= 79 (coz 180- 101= 79)

therefore D= ?

the total interior angle of a quadrilateral is 360

so 360- (90+ 65+ 79)

360- 234 = 126 degrees

Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible