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ipn [44]
3 years ago
5

Which of the following is a proportion? 5/6= 10/18 4/6 = 6/9 4/3 = 6/8 2/5 = 4/25

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

4/6 = 6/9

Step-by-step explanation:

Because 4/6 = 2/3 and 6/9 = 2/3

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Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles
shusha [124]

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

\frac{miles}{hrs}:

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x} and cross multiply to solve:

638x = 4466 so

x = 7 hrs

6 0
3 years ago
Lucy earns money babysitting. Her earnings and hours worked represent a direct variation. She worked for 4 hours and earned $25.
SashulF [63]

For this case we have that by definition, a direct variation is given in the form:

y = kx

Where:

k: It is the constant of proportionality

According to the statement we have to:

y = 25\\x = 4

Substituting:

25 = k4\\k = \frac {25} {4}k = 6.25\ for\ \frac {dollars} {hour}

On the other hand we have:

y = 4\\x = 25\\4 = k25\\k = \frac {4} {25}

k = 0.16\ for\ \frac {hours} {dollar}

Answer:

k = 6.25 for \frac {dollars} {hour}\\k = 0.16 for \frac {hours} {dollar}

7 0
3 years ago
Three coins are tossed. What is the possibility of tossing exactly one tail
lesya [120]

Answer:

Probability of getting at least 1 tail in 3 coin toss is 1−18=78

6 0
3 years ago
Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 m
sveticcg [70]

Answer:

The speed of an object is the rate of distance traveled over time. Suzette ran for 1.5 hours, and she biked for 2 hours.

Given that: Speed is calculated as: Make Distance the subject Average running speed = 6 mph for x hours implies that: Average biking speed = 12.5 mph for y hours implies that: So, the total distance is: The total distance is 34 miles. So, we have: The total time is 3.5h. So, we have: Make x the subject Substitute in Collect like terms Divide both sides by 6.5 Recall that: Hence, Suzette ran for 1.5 hours, and she biked for 2 hours.'

x=3.5-y

x-3.5-2

x=1.5

4 0
3 years ago
-10x+3y=5 systems of equations with substitution
Genrish500 [490]

Answer:

x=3/10y+-1/2

Step-by-step explanation:

Add -3y to both sides

-10x+3y=5

       -3y  -3y

-10x=3y+5

Divide both sides by -10

-10x=3y+5

_________

-10     -10

x=3/10y+-1/2

8 0
3 years ago
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