I Need Help Somebody Please .

Carol's car average is 17.1 miles per gallon in City driving and 24.7 miles per gallon in highway driving if she drove a total o

xxTIMURxx [149]

Answer:

the volume of the gas used for city driving is 17 gallons

Step-by-step explanation:

Given;

average speed for city driving, v₁ = 17.1 miles per gallon

average speed for highway driving, v₂ = 24.7 miles per gallon

total distance traveled, d = 513 miles

total gallon of gas used, t = 26 gallons

Let the volume of gas used for city driving = x

Also, let the volume used for highway driving = y

x + y = 26 -------- (1)

17.1x + 24.7y = 513 ------------(2)

From equation (1); y = 26 - x

Substitute the value of y in equation (2)

17.1x + 24.7(26-x) = 513

17.1x + 642.2 - 24.7x = 513

17.1x - 24.7x = 513 - 642.2

-7.6x = -129.2

x = 129.2/7.6

x = 17 gallons

Therefore, the volume of the gas used for city driving is 17 gallons

7 0

2 years ago

Hi can anybody tell me the answer

AlexFokin [52]

Answer:

3(x-1)

Step-by-step explanation:

you need to out the x minus 1 in brackets as you multiply the whole thing by 3

3 0

2 years ago

Read 2 more answers

the point (3,-6) lies on the terminal side of angle 0. Find the exact value of the six trigonometric functions of 0. Sin cos tan

Shkiper50 [21]

ANSWER

See explanation

EXPLANATION

The point (3,-6) is the fourth quadrant.

In this quadrant only the cosine ratio and the secant ratio are positive.

The remaining four trigonometric ratios are negative.

The diagram is shown in the attachment.

We use the Pythagoras Theorem to find the hypotenuse, h.

${h}^{2} = {6}^{2} + {3}^{2}$

${h}^{2} = 36 + 9$

${h}^{2} = 45$

$h = \sqrt{45}$

$h = 3 \sqrt{5}$

$\sin( \theta) = - \frac{opp}{hyp}$

$\sin( \theta) = - \frac{6}{3 \sqrt{5} }$

$\sin( \theta) = - \frac{2 \sqrt{5} }{ 5 }$

$\sin( \theta) = - \frac{2}{ \sqrt{5} }$

$\ cos(\theta) = \frac{adj}{hyp}$

$\ cos(\theta) = \frac{3}{3 \sqrt{5} }$

$\ cos(\theta) = \frac{1}{ \sqrt{5} }$

$\ cos(\theta) = \frac{ \sqrt{5} }{5}$

$\tan(\theta)= - \frac{opp}{hyp}$

$\tan(\theta)= - \frac{6}{3} = - 2$

$\csc(\theta)= - \frac{hyp}{opp}$

$\csc(\theta)= - \frac{3 \sqrt{5} }{6} = - \frac{\sqrt{5} }{2}$

$\sec( \theta) = \frac{hyp}{adj}$

$\sec( \theta) = \frac{3 \sqrt{5} }{3} = \sqrt{5}$

$\cot( \theta) = - \frac{adj}{opp}$

$\cot( \theta) = - \frac{3}{6} = - \frac{1}{2}$

6 0

3 years ago

HELP I'M BEING TIMED A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points

prohojiy [21]

Answer:

b)

Step-by-step explanation:

the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions

4 0

3 years ago

What’s the formula for the series -5,10,-20,40

diamong [38]

Answer:

Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:

Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:

$\left \{ {{a_0=-5} \atop {a_{n+1}=-2a_n}} \right.$

Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:

$a_n=-5 (-2)^n$

Either work, depending on what you need to use it for.

6 0

2 years ago