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2 years ago

Algebra Martin has 12 times as many baseball

Mathematics

1 answer:

charle [14.2K]2 years ago

8 0

Answer:

Martin has 684 baseball cards
Matt has 392 baseball cards

Step-by-step explanation:

Let N, J, K, M represent the numbers of cards that Martin, Josie, Kal, and Matt have, respectively.

Equations

We are told ...

N = 12J

J = 29 +K

M = 14K

K = 28

Solution

Working from the bottom up, ...

M = 14·28 = 392

J = 29 +28 = 57

N = 12J = 12·57 = 684

The answers to the questions asked are ...

Martin has 684 baseball cards; Matt has 392 baseball cards.

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3 years ago

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as

vesna_86 [32]

Answer:

1). System of equations- D + Q = 90 and D + 2.5Q = 175.50

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Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped in it.

A panel shows the total number of coins inside as well as the total value of these coins.

Let the number of dimes in the bank = D

and the number of quarters in the bank = Q

If the panel shows total number of coins = 90

Then the equation will be

D + Q = 90 -------(1)

And the panel displays the amount of the coins = $17.55

Then equation will be

0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]

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Now we subtract equation (1) form equation (2)

D + 2.5Q - (D + Q) = 175.50 - 90

D + 2.5Q - D - Q = 85.5

1.5Q = 85.5

Q = $\frac{85.5}{1.5}$

= 57

By putting Q = 57 in the equation (1)

D + 57 = 90

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Therefore, there are 33 dimes and 57 quarters in the bank.

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3 years ago

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3 years ago

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2 years ago

Using the Law of Syllogism, select the correct final statement: If a polygon is a square, then all 4 angles are right. If all 4

dedylja [7]

Answer:

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Step-by-step explanation:

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2 years ago