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lesantik
5 days ago
9

67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning

.
Mathematics
2 answers:
Inessa [12.5K]5 days ago
5 0
67,124 x 3/4 = 50,343

The result is less than the original because when multiplying a whole number by a fraction, the outcome is always smaller than that whole number.
zzz [12.3K]5 days ago
4 0

Answer:

67,124 x 3/4= 50,343

The resulting value is lower than 67,124 as it does not exceed that figure.

Detailed explanation:

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A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 deg
Inessa [12570]

Answer:

3 hours

Step-by-step explanation:

The temperature change after an hour shows an increase of 5 degrees. To calculate how long it takes to reach 60 degrees, we first find the difference from the current temperature to 60 degrees.

60 - 45 = 15 degrees

Since a rise of 5 degrees occurs in one hour, we divide 15 by 5 to find out how many hours are needed to reach 60 degrees.

15 / 5 = 3 hours

8 0
1 month ago
Two planes A and B can each fly through still air at 550 mph. The distance from Paris to Los Angeles is 5000 miles. Wind blows f
PIT_PIT [12445]

Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles d=5000 miles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is v=550 mph

Relative velocity of Plane A is v_a=550-100 =450 mph since Plane A is heading against the wind

Relative velocity of Plane B is v_b=550+100=650 mph

Plane A departs at noon

Distance covered by Plane A in 1 hour =450\times 1=450 miles

The total separation distance between the planes is 5000-450=4550 miles

Assuming they meet after t hours

Distance covered by Plane B in that time frame =v_b\times t=650\times t

Distance traveled by Plane A in t hours is =v_a\times t=450 t

The total distance equals 4550 miles

4550=650t+450t

t=\frac{4550}{1100}

t=4.13 hr

Distance traveled by B is =650\times 4.136=2688.63 miles

thus, they meet at a point 2688.63 miles away from Los Angeles.

5 0
1 month ago
Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield th
Svet_ta [12734]
B. every member of the boys' basketball team, as basketball players are typically taller, resulting in larger feet which do not accurately reflect the average shoe size of the male students. 
5 0
17 days ago
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Sandy takes a day off once every 4 days, and Morgan takes a day off once every 10 days. Today, both of them have taken the day o
Zina [12379]
Assuming that the departure day for both is day 0, Sandy's next day off occurs on day 4, while Morgan's falls on day 10. Sandy's days off will be on days 4, 8, 12, 16, and 20. Meanwhile, Morgan's days off will be on days 10, 20, 30, 40, and 50. Thus, both of them will share a day off on day 20, meaning they will next have a joint day off in 20 days.
4 0
26 days ago
Read 2 more answers
A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)=-16t
lawyer [12517]

Answer:

60

Step-by-step explanation:

The function provided is:

h(t)=-16t^2+120t+6

The average rate of change of h(t) as time goes from t=a to t=b is expressed as:

\frac{h(b)-h(a)}{b-a}

This function can be reformulated as: h(t)=-16(t-3.75)^2+231

The rocket's peak height is 231, which occurs at t=3.75 seconds.

\implies h(3.75)=231

The initial launch happens at: t=0

and h(0)=-16(0)^2+120(0)+6=6

The average rate of change from launch to max height is

\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60

6 0
1 month ago
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