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kiruha [24]
3 years ago
12

HIGH POINTS! AND BRAINLY! PLEASE GIVE GOOD AND GENIUNE ANSWERS OR I WILL DELETE YOUR COMMENT AND TAKE THE POINTS BACK:

Mathematics
2 answers:
Margarita [4]3 years ago
7 0

Answer:

r = 28 km/hr

d = 140 km

Step-by-step explanation:

The distance between the two towns is d

We know the formula for distance is d = rt

A biker covered half the distance between two towns in 2 hr 30 min.

Changing the time to hours and calling the rate r

d/2 = r * 2 1/2

For the second part the rate is (r+2)

He covered the second half of the distance in 2 hr 20 min

Changing the time to hours 2 hrs 20 min = 2 1/3 hours

d/2 = (r+2)( 2 1/3)

Since the distances are the same, we can set the two equations equal

r * 2 1/2 = (r+2)( 2 1/3)

Changing to improper fractions

r (5/2) = (r+2) 7/3

Multiplying each side by 6 to clear the fractions

6r (5/2) = (r+2) 7/3*6

15r = (r+2) *14

Distribute

15r = 14r+28

Subtracting 14r from each side

15r-14r = 14r-14r+28

r = 28

Now we want to find the distance

d/2 = r * 2 1/2

d/2 = 28 (5/2)

Multiply each side by 2

d/2*2 = 28 (5/2)*2

d = 28 *5

d = 140

Elena L [17]3 years ago
5 0

Answer:

Distance: 140 km

Initial speed: 28 km/hr

Step-by-step explanation:

D = speed × time

let S be the Intial speed

And D be the half distance

D = S × 2½

D = (S + 2) × 2⅓

(5/2)S = (S + 2) × 7/3

7/3 S - 5/2 S = 14/3

S/6 = 14/3

S = 28 km/hr

D = 5×28/2 = 70

Total distance = 2×70 = 140 km

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wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be x

and Rose's age will be y

"Ivy is half as old as her sister":

x=\frac{y}{2}

this will be our <u>fist equation.</u>

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have x+6 years, and Rose will have y +6 years, so for this sentence we have the equation:

x+6=\frac{2}{3}(y+6)

this will be our <u>second equation.</u>

Substituting the value of x from the first equation into the second, and solving for y(Rose):

\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y

Rose is 12 years old.

and Ivy (using the fist equation):

x=\frac{12}{2}=6

Ivy is 6 years old.

6 0
3 years ago
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2 years ago
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Step-by-step explanation:

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3 years ago
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Marat540 [252]

Answer:

-3

Step-by-step explanation:

Step 1: Write equation

-7.6(x - 1) = 7.3 - 7.4x

Step 2: Solve for <em>x</em>

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Step 3: Find <em>-2x</em>

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5 0
3 years ago
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earnstyle [38]
The mode is the number that is repeated most often,
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8 0
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