Ms. Johnson had 3/4 of a tank of gas when she started a trip. When she arrived home, she had 1/8 of a tank left.What fraction of a tank of gas was used during the trip

Answer:

i don't sorry thanks for the points though

Step-by-step explanation:

Answer:

I do, not from India though.

Step-by-step explanation:

Answer:

Step-by-step explanation:

i thing its 125

Answer:

1 us dollar would be worth $0.8333333 Canadian dollars

Step-by-step explanation:

i don't know what you did wrong but you would divide 250/300 to get the amount it's worth. I guess you tried to multiply it, don't do that.

Answer:

27.9

Step-by-step explanation:

3*3.1 = height = 9.3

9.3 * 3

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Answer: 0.12 per minute

Step-by-step explanation: I actually had to reread this one a couple times, as the setup is a bit confusing. Here's how I would solve it personally:

1. Since it's leaking 2ml per second, and there are 60 seconds in a minute, multiply 2ml times 60 seconds to get 120ml every minute.

2. 1ml equals 0.001 liters, so multiply 120ml by 0.001 to find out how many liters that is. 120(0.001)=0.12.

Hope this helps,

Lacia

Answer:

\(2043.67\)

Step-by-step explanation:

Hundredths is at 2 decimal places.

The thousandths place is higher than 5, so add 1 to the hundredths place.

Answer:

2043.67

Step-by-step explanation:

If you’ve ever rounded a number, you would know that if it’s 5 or higher, round it up, and if it’s 4 or lower, round it down. In this case, the second decimal place reads ’6’ which is higher that 5, so we round up. The rest of the numbers stay the same

2043.67

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

An equation for which the solution is the height of a pyramid, in feet, when its volume is 48 cubic feet and the length of each side of its base is 4 feet is h = 3(48)/4².

In Mathematics and Geometry, the volume of a square pyramid can be calculated by using the following formula:

Volume of a square pyramid, V = 1/3 × a² × h

Where:

By making "h" the subject of formula, the side length of the base of a square pyramid can be determined as follows;

V = 1/3 × a² × h

3V = a²h

Height, h = 3V/a²

Height, h = 3(48)/4²

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According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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Answer:

a

\(P_k = 0.83\)

b

 \(N_{\mu} \approx 4 \ passengers\)

c

\(T_{\lambda} = 0.5 \ minutes\)

Step-by-step explanation:

From the question we are told that

The average number of passengers that arrive per minute is \(\lambda = 10\)

The average number of check that can be carried out in one minute is \(\mu= 12\)

Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

        \(P_k = \frac{\lambda }{ \mu }\)

=>    \(P_k = \frac{10 }{ 12}\)

=>    \(P_k = 0.83\)

Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

     \(N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }\)

=>  \(N_{\mu} = \frac{10^2}{12 (12 -10) }\)

=>  \(N_{\mu} \approx 4 \ passengers\)

Generally the average time a passenger spend at the checkpoint is mathematically represented as

      \(T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}\)

=>   \(T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}\)

=>   \(T_{\lambda} = 0.5 \ minutes\)

Since density is equal to mass per unit volume, mass is equal to density times volume. So we split up the lamina into tiny regions with "volume" (area) equal to dA, multiplied by the density, and integrated over the entirety of the lamina.

This is best done in polar coordinates:

\(\begin{cases}x=u\cos v\\y=u\sin v\end{cases}\implies\mathrm dA=\mathrm dx\,\mathrm dy=u\,\mathrm du\,\mathrm dv\)

so that \(x^2+y^2=u^2\cos^2v+u^2\sin^2v=u^2\).

The lamina is then the set of points

\(L=\left\{(u,v)\mid1\le u\le2\land0\le v\le\dfrac\pi2\right\}\)

Now compute the integral: the mass of the lamina is

\(\displaystyle\iint_L(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_1^2u^3\,\mathrm du\,\mathrm dv=\frac\pi2\int_1^2u^3\,\mathrm du=\frac{15\pi}8\)

Given:

Temperature value =70 f

Required:

To convert this value in celsius f

Explanation:

We have to covert f into celsius.

we just simply place given value in equation,

Required answer:

21.11 celsius

Answer:

Step-by-step explanation:

a) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 3 days is 3/1, or 3/1 of a tank.

b) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 1 week is 7/1, or 7/1 of a tank.

It's worth noting that tanks of gas come in different sizes, so the amount of gas consumed in a day, week, or any other period of time will depend on the size of the tank, and the consumption of the car, so this answer is based on the assumption that a full tank is used every day.

Answer:

C

Step-by-step explanation:

1/4 is .25

4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.

No of hamburgers she can make

\(\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}\)

\(\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}\)

\(\\ \sf\longmapsto \dfrac{60}{2}\)

\(\\ \sf\longmapsto 30\)

The linear regression equation is defined as follows:

C. ŷ = 6.5x − 279.1

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points for this problem are given on the table as follows:

(58.2, 112), (64.2, 135), (64.3, 138), (66.8, 146), (68.4, 166), (71.6, 180), (72.7, 188), (76.2, 199), (77.8, 220), (82.8, 280).

Inserting these points into a calculator, the line of best fit is given as follows:

ŷ = 6.5x − 279.1

Meaning that the correct statement is given by option C.

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Answer:

C

Step-by-step explanation:

C explains what is currently happening.

Answer:

its b

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

5

Step-by-step explanation:

Divide 30 by 6, since this will find the number of chairs she can paint in 1 minute:

30/6

= 5

So, the constant of proportionality is 5, since she can paint 5 chairs in a minute.

Answer:

  1/5

Step-by-step explanation:

You want k so that ...

  y = kx

You are told that y=6 when x=30, so ...

  6 = k·30

  6/30 = k = 1/5

The constant of proportionality is 1/5.

  y = (1/5)x

Answer: A

Step-by-step explanation:

Answer:

A. 1/12

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

-/3/=-3

/-3/=3

Step-by-step explanation:

qwarsrdzxcftgvyhubjnjbjonkklpnvgutcuhsdbdjdjsnd

Answer:

x=7

Step-by-step explanation:

i think

The number of terms (n) in the sequence = 10.

We know that,

                      S = \(\frac{n}{2\\}\) {2a + (n-1)d}

Where,

            S = Sum of A. P. series

            n = number of terms in A. P. series

            a = first term of the series

            d = common difference

According to the question,

           Sum of the series, S = 340

                         First term,  a = 7

         Common difference, d = 6

                  S = \(\frac{n}{2\\}\) {2a + (n-1)d}

                  340 =  \(\frac{n}{2}\) {2*7 + (n-1)6}

                  340 =  \(\frac{n}{2}\) {14 + 6n - 6}

                  340*2 = n( 6n + 8)

                   680   = 6n^2 + 8n

        6n^2 + 8n - 680 = 0

        2 (3n^2 +4n - 340) = 0

            3n^2 +4n - 340 = 0

        3n^2 + 34n - 30n - 340 = 0

        n (3n+ 34) - 10 (3n + 34) = 0

        (3n + 34) (n - 10) = 0

   if we take, 3n + 34 = 0

                         3n = - 34

                           n = -34/3

which is not possible, as the number of terms can not be negative

   if we take, n- 10 = 0

                       n = 10

Hence, the number of terms in the given A. P. series is 10.

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The graph shows the comparison of the human welfare and ecological footprints.

A graph simply means a diagram that shows the relationship between variables.

From the graph, it can be seen that countries such as Norway, Canada, USA, and Australia meet the minimum criteria for sustainability.

The graph also shows that Sierra Leone is the least developed country among the countries compared as it has the lowest human development index.

The threshold for high human development as given as 0.8. Most African countries had a human development index of 0.5 and below.

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Answer:

B. Zero

Explanation:

The solutions of the system of equation are the points where the graph intersect. In this case, the red function and the blue function doesn't cross each other. So, the system formed by these non linear equations has no solutions.

Therefore, the answer is:

B. Zero

Answer:two

Step-by-step explanation:

Answer:

ans : it is order wise

a) 6/125 cm³

b) 8/125 cm³

c) 1/125 cm³

d) 36/125 cm³

Step-by-step explanation:

a)

for rectangular prism = length × width × height

= (1/5) × (2/5) × (3/5)

= 6/125 cm³

b)

for cube = length³

= (2/5)³

= 8/125 cm³

c)

for cube = (1/5)³

= 1/125 cm³

d)

for rectangular prism = (3/5) × (4/5) × (3/5)

= 36/125 cm³

Answer:

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 160, \pi = \frac{14}{160} = 0.088\)

88% confidence level

So \(\alpha = 0.12\), z is the value of Z that has a pvalue of \(1 - \frac{0.12}{2} = 0.94\), so \(Z = 1.555\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 - 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.053\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 + 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.123\)

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)