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AfilCa [17]
3 years ago
9

Baseball game math problem

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
... there is no math problem here
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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c
love history [14]

Let x be the number of weeks; therefore, the two linear equations are

\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}

Thus, substitute the value of x=3 into the first equation,

\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

6 0
1 year ago
Find the common difference for the sequence shown.<br><br><br><br> 56, 49, 42, 35, ...
NemiM [27]

Answer:

7

Step-by-step explanation:

4 0
3 years ago
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2. Simplify the fraction to its simplest form. 54 75​
sdas [7]

Answer:

18/25

Step-by-step explanation:

=54÷375÷3=18/25

=18/25

8 0
3 years ago
Help help math math
iragen [17]

Answer:

864ft^3

Step-by-step explanation:

Divide the diameter by 2 to get the radius

12 / 2 = 6

Then solve the volume equation using 3 for pi.

4/3 * 3 * 6^3

4 * 6^3

4 * 216 = 864

6 0
3 years ago
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a triangle has sides measuring 5 inches and 8 inches. if x respresents the length in inches of the third side, which inequality
WITCHER [35]

Answer:

When given 2 sides of a triangle, the third side must be:

Greater than the difference of the other 2 sides AND  

less than the sum of the other 2 sides.

So side "x" must be greater than

(8 -5) and less than (8 +5) or

3 < "x" < 13

Source: http://www.1728.org/trianinq.htm


Step-by-step explanation:


7 0
3 years ago
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