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Kazeer [188]
3 years ago
15

Rory is driving 584 miles to a family reunion. She will drive 300 miles by herself the first day. The second day Rory and her co

usin will share the driving equally. How many miles will her cousin drive? Write an equation to solve. Use a variable for the unknown and show your work and explain your work.
Mathematics
1 answer:
Liula [17]3 years ago
6 0
To find out how many miles Rory's cousin will drive, we need to subtract the amount of miles that Rory drove the first day all by herself.

584 - 300 = 284

Then, we know that Rory's cousin split the distance with Rory evenly the remaining amount, so we can just divide by 2 to find out how far her cousin drove.

284 / 2 = 142

Rory's cousin drove 142 miles. 
Hope that helped =)
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2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

4 0
2 years ago
And an electronics warehouse ships TVs and DVD players to retailers all throughout the United States. The weight of three televi
vodomira [7]
X= weight of TV
y= weight of CD

3x+5y= 62.5
3x+ 2y= 52
You can either solve for a variable, or eliminate a variable by subtracting the second equation from the first:

3x + 5y = 62.5
-(3x+2y = 52)
0 + 3y = 10.5, so y = 10.5/3 or 3.5.

Now plug y= 3.5 back into any equation to get x:

3x + 5(3.5) = 62.5
3x + 17.5 = 62.5
3x = 45
x = 15
Always check work. Both equations should be true for x=15, y= 3.5
4 0
3 years ago
3 miles in .25 of an hour. how many miles per hour does the train go
kotykmax [81]
Multiply 3 by 4, which gets you 12 mph
8 0
3 years ago
How does confidence interval affect margin of error.
Vesnalui [34]
The width of the confidence interval is twice the margin of error. The lower bound of the confidence interval is the observed score minus the margin of error;
8 0
2 years ago
A figure is shown.
NNADVOKAT [17]

Answer:

Then it is just a matter of plugging in the values into the formula. For example, if one base is 6 cm long, the other is 10 cm long and the height is 4 cm, the area is then (6 + 10) / 2 x 4 = 16 / 2 x 4 = 8 x 4 = 32 cm 2 (32 square centimeters).

Step-by-step explanation:

7 0
2 years ago
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