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Lerok [7]
2 years ago
10

A person drove 30 miles per hour on a trip. If he had driven 45 miles per hour, he would have arrived 4 hours earlier. What was

the distance the person drove?

Mathematics
2 answers:
Step2247 [10]2 years ago
6 0

Answer:D= 60miles

Step-by-step explanation:

Speed=distance/time

Distance = speed× time

D=(45-30)× 4

D= 15×4

D= 60miles

OleMash [197]2 years ago
6 0
So you first make an expression by stating that in 45mi/hr you could have gone less than 4hrs. So then you set up proportions to solve for x, but x turns into miles. So that is the distance for the destination.

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6 people equally share 56 gummy worms. How many gummy worms does each person get?
gregori [183]

Answer:

B: 9 2/6 gummy worms

Step-by-step explanation:

You can't divide 56 equally with 6, so you have to find the nearest dividable number. That number is 54. 54 divided by 6 is 9, which eliminates option C and D. Since 56-54 (the number we took) is 2, the answer is B.

3 0
2 years ago
Read 2 more answers
In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average o
ivann1987 [24]
Larry needs to score 33 points in the last game to have an average of 25 PPG.

To find the answer, we can solve the equation:

\frac{(4)23+p}{5}=25

<em />(where <em>p</em> is how many points he needs to score in the last game)

To find the mean of a group of numbers, you add them all up and divide the total by the number of numbers there are. Since Larry averaged 23 PPG in 4 games, we can multiply 23 by 4 to get the total of the first 4 games from the data. Then, we find <em>p</em>, which we will add to get our final total. Then, you divide by the 5 games.

\frac{(4)23+p}{5}=25
\frac{92+p}{5}=25
{92+p}=125
p=33

First, I simplified 4 x 23 to get 92. Then, I multiplied each side by 5 to get rid of the denominator. Finally, I subtracted 92 from each side to isolate <em>p</em>, and found that <em>p</em> = 33.


8 0
3 years ago
Read 2 more answers
Essential: Solve the proportions<br> step by step ​
vazorg [7]

Answer:

The value of r=\frac{-106}{47}

The value of x=\frac{83}{32}

Step-by-step explanation:

Given that,

A) \frac{2r-2}{7r+10} = \frac{9}{8}

Now,

\frac{2r-2}{7r+10} = \frac{9}{8}

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=\frac{-106}{47}

B) \frac{x+4}{9} = \frac{3(x-2)-1}{5}

Now,

\frac{x+4}{9} = \frac{3(x-2)-1}{5}

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=\frac{83}{32}

6 0
3 years ago
How to graph -x + 2y = 6
larisa86 [58]
In order to graph the equation, you need some coordinates, 
So, put x = 0, 
2y = 6. y = 3.  Coordinate = (0, 3)

Now, put y = 0, 
-x = 6
x = -6   Coordinate (-6, 0)

In short, Just mark that two points and draw a line, graph is done

Hope this helps!
3 0
2 years ago
What is the expanded form of the expression -1/7 (y-x)
rodikova [14]

Answer:

-1/7 y + 1/7 x

Step-by-step explanation:

Can also be written as

1/7 x - 1/7 y

3 0
3 years ago
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