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Kitty [74]
3 years ago
5

Jasmine can run 4 5/6 miles in 2/3 of an hour. how many miles can she run 1 hour simplify comepletly

Mathematics
1 answer:
Vikentia [17]3 years ago
7 0

Remark

the question depends on d= r * t

d = the distance in miles.

r = the rate of travel in miles per hour

t = the time in hours.


Step One

Rearrange the formula so you are solving for the rate.


d = r * t Divide by t

4 5/6 = (4*6 + 5)/6 = 29/6


r = d / t


Step Two

Substitute into the equation.

r = \dfrac{\dfrac{29}{6}}{\dfrac{2}{3} }


Step Three

Turn the bottom fraction upside down. Multiply these two together.


r = \dfrac{29}{6} * \dfrac{3}{2}


r = 29/4 miles hour.


Step Four

Solve for d when t = 1 hour.


d = ??

r = 29/4 miles / hour

t = 1 hour.


d = 29/4 * 1

d = 29/4 miles


That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles


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Biased: I’m going to vote for savanna because she’s my best friend
Unbiased: I’m going to vote for Stacy because she is the best candidate for the school’s treasurer
6 0
3 years ago
The line of symmetry for the quadratic equation y = ax^2 + 8x - 3 is x = 4. What is the value of "a"?
alexdok [17]

Answer:

a = - 1

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c : a ≠ 0

Then the x-coordinate of the vertex is

• x_{vertex} = - \frac{b}{2a}

The line of symmetry passes through the parabola, hence x-coordinate is 4

y = ax² + 8x - 3 is in standard form

with a = a, b = 8 and c = - 3, hence

- \frac{8}{2a} = 4 ( multiply both sides by 2a

- 8 = 8a ( divide both sides by 8 )

a = - 1



















6 0
3 years ago
What is x² + 7x - 30​
Aleonysh [2.5K]

Are you looking for the value of x?

We can complete the square/factor:

x^2+7x-30=0

(x+10)(x-3)=0

By the zero product property rule, we have two equations, x+10=0 and x-3=0.

So the zeroes of x are -10 and 3

Hope this helped. Comment below if this didn't make sense.

6 0
3 years ago
In NC, Henderson County has a land area of about 375 square miles and Perquimans County has a land area of about 250 square mile
kirza4 [7]

375 mi^2         15

--------------- =  ------ = 3/2

250 mi^2        10

The ratio of the population of Henderson County to that of Perquimans is 3/2.

4 0
3 years ago
We have a jar of coins, all pennies and dimes. All together, we have 309 coins, and the total value of all coins in the jar is $
Vinvika [58]

There are 130 pennies in the jar

Step-by-step explanation:

We have a jar of coins

  • All coins are pennies and dimes
  • There are 309 coins in the jar
  • The total value of all coins in the jar is $ 19.2

We need to find the number of pennies in the jar

Assume that there are p pennies and d dimes in the jar

∵ There are p pennies and d dimes in the jar

∵ There are 309 coins in the jar

∵ All the coins in the jar are pennies and dimes

∴ p + d = 309 ⇒ (1)

∵ The total value of all coins in the jar is $ 19.2

∵ $1 = 100 cents

∴ $19.2 = 19.2 × 100 = 1920 cents

∵ 1 penny = 1 cent

∵ 1 dime = 10 cents

∴ p + 10 d = 1920 ⇒ (2)

Now we have system of equations, we can solve them to find p

∵ p + d = 309 ⇒ (1)

∵ p + 10 d = 1920 ⇒ (2)

- Multiply equation (1) by -10 to eliminate d

∵ (-10)(p) + (-10)(d) = (-10)(309)

∴ -10 p - 10 d = -3090 ⇒ (3)

Add equations (2) , (3)

∴ -9 p = -1170

- Divide both sides by -9

∴ p = 130

There are 130 pennies in the jar

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

8 0
3 years ago
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