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Olin [163]
3 years ago
15

Misha and Carlos collect baseball cards. Misha has been collecting cards longer and finds a ratio of 9 to 4 when comparing her t

otal cards to her friend. If Carlos has 76 cards, how many cards do they have together?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer:

247 cards

Step-by-step explanation:

Misha : Carlos = 9 : 4

Carlos = 76 cards

Misha = x cards

9 : 4 = x : 76

9/4 = x/76

Cross product

9 * 76 = 4 * x

684 = 4x

x = 684 /4

x = 171

Misha = 171 cards

how many cards do they have together?

Total cards altogether = Misha + Carlos

= 171 cards + 76 cards

= 247 cards

Total cards altogether = 247 cards

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Kendra found this relationship between the quantities in the table.
slava [35]

Answer:

Kendra should have multiplied the x-values by 75 to get the y-values

Step-by-step explanation:

Given

Table

X|| Y

1 || 75

2 || 150

3 || 225

4 || 300

5 || 375

Given that Kendra multiply x by 7.5 to get y

The relationship of x and y can be calculated as thus;

y = rx

Where y and x are the values at the y and x column respectively and r is the constant of proportionality

When y = 75, x = 1.

Plug in these values in the above formula

y = rx becomes

75 = r * 1

75 = r

r = 75

When y = 150, x = 2

150 = r * 2

Multiply both sides by ½

150 * ½ = r * 2 * ½

75 = r

r = 75

When y = 225, x = 3

225 = r * 3

Multiply both sides by ⅓

225 * ⅓ = r * 3 * ⅓

75 = r

r = 75

Notice that r remains 75 and the difference between y values is 75

If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.

Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values

6 0
3 years ago
Read 2 more answers
Catherine owns $22.50 on her lunch account balance. She pays $15 toward her balance. What is the status of her account balance n
Alex777 [14]

Answer:

22.50

- 15.00

_______

7.50

Step-by-step explanation:

She still owes $7.50

6 0
3 years ago
Read 2 more answers
H = −8(3t − 3)(t + 2)
sergejj [24]

Answer

she be -5

Step-by-step explanation:

8 0
2 years ago
If f(3) = 15 and f(5) = 45, which of the following could be f(x)?
Katen [24]
F(x) = 2x² - x
f(3) = 2(3)² - 3
f(3) = 2(9) - 3
f(3) = 18 - 3
f(3) = 15

f(x) = 2x² - x
f(5) = 2(5)² - 5
f(5) = 2(25) - 5
f(5) = 50 - 5
f(5) = 45

The answer is C.
5 0
3 years ago
Enter the value for X that makes the equation 1/2 (4x-8) + 3x = 36 true
aksik [14]

Answer:

  • x = 8

Step-by-step explanation:

<u>Solve for x:</u>

  • 1/2 (4x - 8) + 3x = 36
  • 2x - 4 + 3x = 36
  • 5x - 4 = 36
  • 5x = 40
  • x = 40/5
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8 0
2 years ago
Read 2 more answers
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