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vova2212 [387]
3 years ago
13

Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par

t of the race? explain how you solve the problem.
7.RP.1, 7.NS.3
Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

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At a picnic, there is a 5-gallon drink
Snezhnost [94]

Answer:

80 cups

Step-by-step explanation:

There are 640 ounces in 5 gallons so,

640 divided by 8 equals 80, therefore,

The greatest number of cups that can be served are 80

8 0
3 years ago
Read 2 more answers
Which of the following statements Is true concerning f(x)=x^2-2x-24?
Novosadov [1.4K]

Answer:

None of the given options is correct.

Step-by-step explanation:

Given:

f(x)=x^2-2x-24

To find:

the true statement

Solution:

f(x)=x^2-2x-24

Here,

-2=-6+4

f(x)=x^2-6x+4x-24\\=x(x-6)+4(x-6)\\=(x+4)(x-6)

To find the zeroes of f(x), put f(x)=(x+4)(x-6)=0

(x+4)(x-6)=0\\x+4=0\,,\,x-6=0\\x=-4,6

So, zeroes are -4 and 6

None of the given options is correct.

4 0
3 years ago
What are the roots of y = x - 3x – 10?<br>-3 and -10<br>-2 and 5<br>2 and -5<br>3 and 10​
olga55 [171]

Answer:

  -2 and 5

Step-by-step explanation:

If roots of a quadratic are "a" and "b", then (x-a) and (x-b) are factors. Then the quadratic can be written as ...

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That is, the constant (-10) is the product of the roots, and the x-coefficient (-3) is the opposite of their sum.

In short, you want a solution pair that has a sum of 3. Only one answer qualifies: -2 and 5.

3 0
3 years ago
Please help im almost done​
irga5000 [103]

Answer:

1/4

Step-by-step explanation:

the numerator is 12 because there are 12 possible outcomes.  The numerator is 3 because there are 3 numbers in this set that are greater than 9.  You get 3/12 which then simplifies to 1/4

8 0
3 years ago
A wave travels down a string with a velocity of 512 m/s. If the string has a length of 6.84 meters, what is the second harmonic
GalinKa [24]
The answer is number 4 byeeeee have a good day
5 0
3 years ago
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