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blagie [28]
3 years ago
12

Jax and Sofia collect baseball cards. Jax has 56 cards and Sofia has 68. They each joined different baseball-collecting clubs. E

ach month, Jax's club will send him 4 new packages of cards. Sofia's club will send her 3 new packages per month. If each pack has 4 cards in it, after how many months will Jax and Sofia have the same number of cards? How many will they have?
Mathematics
1 answer:
masya89 [10]3 years ago
7 0
Jax gets 4 packs per month...each pack contains 4 cards...so he gets 16 cards per month.
Sofia gets 3 packs per month..each pack contains 4 cards...so she gets 12 cards per month..

56 + 16m = 68 + 12m
16m - 12m = 68 - 56
4m = 12
m = 12/4
m = 3.....they will have the same number of cards in 3 months

Jax : 56 + 16(3) = 104 cards
Sofia : 68 + 12(3) = 104 cards

and they will both have 104 cards

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Maury completed a bicycle race 1.5 hours faster than Vince at an average speed of 16 miles per hour. Vince completed the same ra
MAXImum [283]
Let the time taken by Vince to complete the race was x hours. 
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.

Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour

Distance = Speed x Time.

For Maury:
Distance = 16(x - 1.5)

For Vince:
Distance = 12x

Since the distance covered by both was the same, we can equate the two equations as:

16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6 
This means Vince complete the race in 6 hours.

Distance = Speed x Time = 12 x 6 = 72 miles

Thus, the total distance of the race was 72 miles. 
3 0
3 years ago
How do I solve this? It says find the value of x, then find the angle measures of the polygon.
Anni [7]
180 = 65 + (x-5) + x
-65     -65

115 = x - 5 + x

115 = 2x - 5

2x = 120

x = 60

The angle measures are 65, 60, and 55 degrees.

4 0
4 years ago
Order from greatest to least:show your work❗️<br><br> 12,-4,8,-3,0
Aneli [31]
The answer would be 12, 8, 0, -3, -4.

The answer is that because 12 is a positive number so that's higher than negative, 8 goes second because its positive and higher than the others, 0 is third because negatives numbers are LOWER than 0, not higher, -3 is next because higher negative numbers are always lower, not greater than smaller numbers because -8 is LOWER than -4 since its on the left of a number line.
6 0
3 years ago
In the following figure, the value of x is____
zubka84 [21]

Answer:

x ≈ 8.3 ( to the nearest tenth )

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos41° = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{x}{11}

Multiply both sides by 11

11 × cos41° = x, thus

x ≈ 8.3

7 0
3 years ago
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Dahasolnce [82]
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3 years ago
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