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vova2212 [387]
2 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]2 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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the area of a rectangle is 42 square inches and one side is 12 inches long . find the perimeter of the rectangle
valentinak56 [21]
The area is one side times the other side
Make the other side x.
12x=42
x=42/12=3.5
The perimeter is 2x+2y where x and y are sides of the rectangle.
P= 2(3.5)+2(12)=7+24=31 inches
Hope this helps. 
6 0
2 years ago
2 1.3.1 Study: Multiplying Binomials Drag the tiles to the blanks. Distribute. - 4(x - 2) =​
ehidna [41]

Answer:

I am not entirely sure what you are asking here but if I am right then the answer is -4(x-2) = 8 - 4x

Step-by-step explanation:

Multiplying binomials all you have to do is distribute the 4

Multiply  -4 by x to get: -4x

Muliply -4 by -2 to get: 8 (Because two negatives make a positive)

Now you have -4x + 8

Rewrite so it flows better and the answer is:

8 - 4x

6 0
2 years ago
what do the following two equations represent? please help 4x+2y= 10 4x-2y= -10 a) the same line b) distance parallel lines c) p
sleet_krkn [62]

Answer:

  d)  intersecting, but not perpendicular lines

Step-by-step explanation:

Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.

The two lines are intersecting, but not perpendicular.

8 0
2 years ago
When writing a linear equation in standard form, what other forms might you need to use?
wlad13 [49]

Answer:

there are 2 other forms, point-slope form and slope-intercept form.

Step-by-step explanation:

standard is Ax + By =C

point-slope is y-y_{1} =m(x-x_{1})

slope-intercept is y=mx+b

5 0
2 years ago
Read 2 more answers
Solve the two-step equation. 5.1 = –3x – 4.2 1. Add 4.2 to both sides. 2. Divide both sides by -3. The solution is x = _________
Serggg [28]

Answer:

5.1 = -3x - 4.2

-3x - 4.2 = 5.1

-3x = 5.1 + 4.2

-3x = 9.3

x = 9.3/-3

x = -3.1

6 0
3 years ago
Read 2 more answers
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