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enot [183]
3 years ago
5

While travelling, john left destination a at 9 am. driving until 7 pm, he travelled a total of 500 miles. the next day, john lef

t at 9 am and drove until 5 pm, covering 270 miles. what was the average speed for both days, while driving?
Mathematics
2 answers:
aleksklad [387]3 years ago
8 0

Answer:

10 hours 500  miles

8 hours 270 miles

_________________

18 hours 770 miles

Average speed: 770 / 18 = 42.77;

Step-by-step explanation:

g100num [7]3 years ago
8 0

Answer: 42.78 miles per hour.

Step-by-step explanation:

Given: For first day,

Distance d_1=500 miles

Time t_1=10 hours

For  next day

Distance d_2=270 miles

Time t_2=8 hours

For both days,

Total distance = d_1+d_2=500+270=770 miles

Total time taken =t_1+t_2= 10+8=18hours

Now, the average speed for both days, while driving will be

\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}\\\\=\frac{770}{18}=42.7777777778\approx42.78

Hence, the average speed for both days, while driving = 42.78 miles per hour.

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Solve for the given variable 7x+5y=6 for y
olga_2 [115]

Answer:

y = (6/5) - (7/5) x

Step-by-step explanation:

goal: to rearrange the equation such that it takes the form:

y = f(x) ; where f(x) is an expression in terms of x

Given:

7x+5y=6   subtract 7x from both sides

5y = 6 - 7x   (divide both sides by 5)

y = (6-7x) / 5

y = (6/5) - (7/5) x

4 0
3 years ago
Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22
madam [21]

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

#SPJ4

7 0
1 year ago
Plz chooses one more question because I already answered one
MrMuchimi

Answer:

C and E

sorry for the late answer

<h3>Hope it helps!</h3><h3>Hope it helps!:)</h3>
4 0
3 years ago
PLEASE HELP, WILL GIVE THANKS AND STARS
Karolina [17]
I think the answer is B. but I'm not sure... Sorry if this doesn't help!
5 0
3 years ago
Read 2 more answers
Cooper is opening an online savings account to hold his $19,000 emergency fund. The online account pays 1.6 interest compounded
astraxan [27]

Using compound interest, it is found that $20,581.36 will be in the account in 5 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.
  • t is the time in years for which the money is invested or borrowed.

In this problem:

  • The initial deposit is of P = 19000.
  • The rate is of r = 0.016.
  • Monthly compounding, hence n = 12.
  • 5 years, hence t = 5.

Then:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(5) = 19000\left(1 + \frac{0.016}{12}\right)^{12(5)}

A(5) = 20581.36

$20,581.36 will be in the account in 5 years.

You can learn more about compound interest at brainly.com/question/25781328

5 0
2 years ago
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