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3 years ago

What is 8/21 in simplifeyd

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

The fraction 8/21 cannot be simplified because the numerator and denominator don't have a common factor except 1.

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How do you find the m in 13=2m+5

Free_Kalibri [48]

Answer:

m=5

Step-by-step explanation:

13=2m+5 is the same as 2m+5=15

15-5= 10

10÷2= 5

m=5

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3 years ago

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Find the equation of a line in point slope form that crosses through points (3,-2) and (5,2)

madreJ [45]

-2-2=0.5(3-5)

OR (-2-2)=1/2(3-5)

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3 years ago

Find the mode of the data.

mixer [17]

The mode is a term that is repeated the most.
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3 years ago

A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.

vichka [17]

Answer:

$14878.04878miles/hours^2$

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

$A=(Vf-Vi)/T$ where:

A=acceleration rate

Vf=final velocity

Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

T=14.8seconds

Using the acceleration rate equation we have:

$A=(65miles/hour - 6miles/hour)/14.8seconds$ , but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

$X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)$

$X=0.0041hours$

Using X=0.0041hours in the previous equation instead of 14.8seconds we have:

$A=(65miles/hour - 6miles/hour)/0.0041hours$

$A=(61miles/hour)/0.0041hours$

$A=(61miles)/(hour*0.0041hours)$

$A=61miles/0.0041hours^2$

$A=14878.04878miles/hours^2$

In conclusion, the acceleration rate is $14878.04878miles/hours^2$

7 0

3 years ago

A jar is filled with only dimes and quarters. The jar contains a total of 60 coins and the value of the jar is $11.25. How many

inessss [21]

Answer:

35 quarters

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

$d+q=60$ is an equation representing the total number of coins
$0.10d+0.25q=11.25$ is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get $d=60-q$ . We now substitute this for d in the second equation.

$0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25$

After simplifying, we subtract 6 across and divide by the coefficient of q.

$6+0.15q=11.25\\0.15q=5.25\\q=35$

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

3 0

3 years ago