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Kitty [74]
3 years ago
15

The Bailey family planned a trip to a drive-in movie theater and 42 family members attend. Seven cars filled and 7 more people t

raveled in a truck. How many people were in each car?
Mathematics
1 answer:
viva [34]3 years ago
3 0

Answer:5 people were in each car.

Step-by-step explanation:

Let x represent the number of people that travelled in each car.

The total number of people in the Bailey family that made the trip to the drive-in movie theater was 42.

Seven cars filled and 7 more people traveled in a truck. This means that

7x + 7 = 42

Subtracting 7 from the left hand side and the right hand side of the equation. It becomes

7x + 7 - 7 = 42 - 7

7x = 35

Dividing the left hand side and the right hand side of the equation by 7, it becomes

7x/7 = 35/7

x = 5

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Xue Ying had 143 more sweets than Joanne.After Joanne gave away 22 sweets, Xue Ying had 6 times as many sweets as Joanne. How ma
andreyandreev [35.5K]

Answer:

In the end Joanne had 55 sweets.

Step-by-step explanation:

Let the number of sweets that Xue Ying had be y and let the number of sweets Joanne had be x.

It is given that Xue Ying had 143 more sweets than Joanne. We can write this information as an equation.

               y = x + 143.

It is also given that Joanne gave away 22 of her sweets and after that Xue Ying had 6 times as many more sweets. We can write this as an equation.

             y = 6(x - 22) = 6x - 132.

Therefore we can equate the two equations and solve for x.

                 x + 143  = 6x  - 132

                5x  = 275

        ∴       x =  \frac{275}{5}  = 55 sweets.

Therefore in the end Joanne had 55 sweets.                        

4 0
3 years ago
Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of
zhuklara [117]

Answer:

Step-by-step explanation:

41.94/6=6.99

6 0
3 years ago
Read 2 more answers
I need help ASAP plz
OleMash [197]
Second option is your answer order from least to greatest

answer: 50/8, 6 2/5, 6.45, 26/4

50/8 = 6.25
6 2/5 = 6.4
26/4 = 6.5
3 0
3 years ago
A geometric progression has first term a ,common ratior and sum to infinity 6. A second
Sauron [17]

Answer:

a = \frac{12}{7}, r = \frac{5}{7}

Step-by-step explanation:

The sum to infinity of a geometric progression is

\frac{a}{1-r} ; | r | < 1

Thus for first progression

\frac{a}{1-r} = 6 ( multiply both sides by (1 - r) )

a = 6(1 - r) → (1)

Second progression

\frac{2a}{1-r^2} = 7 ← multiply both sides by (1 - r² )

2a = 7(1 - r² ) = 7(1 - r)(1 + r) ← difference of squares

2a = 7(1 - r)(1 + r) → (2)

Substitute a = 6(1 - r) into (2)

2(6(1 - r) = 7(1 - r)(1 + r)

12(1 - r) = 7(1 - r)(1 + r) ← divide both sides by (1 - r)

12 = 7(1 + r) = 7 + 7r ( subtract 7 from both sides )

5 = 7r ( divide both sides by 7 )

r = \frac{5}{7}

Substitute this value into (1)

a = 6(1 - \frac{5}{7} ) = 6 × \frac{2}{7} = \frac{12}{7}

8 0
3 years ago
The number of vehicles a dealership sells varies directly with the money spent on advertising.
mihalych1998 [28]
Two points I can assuming to have integer coordinates (points without decimals in (x, y) ) are (0, 0) and (5, 40)

From this, I can make a safe assumption that y is 8 times the x value.

since x value is money spent on advertising in $1000s', number of vehicles is 80 times of how much money is spent on advertising in $1000.

But, if you want to be fancy (or I guess this is more correct), 8/1000 = 0.08, so for extra dollar spent, 0.08 more vehicles are sold, rounded down.


4 0
3 years ago
Read 2 more answers
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