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}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20T%3D2%2B7x%20%5C%5C%20%5Ctext%7Band%7D%20%5C%5C%20C%3D11%2B4x%20%5Cend%7Bgathered%7D)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20T%3DC%20%5C%5C%20%5CRightarrow2%2B7x%3D11%2B4x%20%5C%5C%20%5CRightarrow3x%3D9%20%5C%5C%20%5CRightarrow%20x%3D%5Cfrac%7B9%7D%7B3%7D%3D3%20%5C%5C%20%5CRightarrow%20x%3D3%20%5Cend%7Bgathered%7D)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D3%20%5C%5C%20%5CRightarrow%20T%3D2%2B7%5Ccdot3%3D23%20%5C%5C%20%5CRightarrow%20T%3D23%20%5Cend%7Bgathered%7D)
Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
9514 1404 393
Answer:
a) 2
b) left: 3; lower right: 5
c) upper right: 53°; bottom: 82°
Step-by-step explanation:
<h3>3.</h3>
a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.
the scale factor is 2
__
b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.
left side: 2×1.5 = 3
lower right side: 2×2.5 = 5
__
c) Corresponding angles of similar figures are congruent.
upper right angle: 53°
bottom angle: 82°
___
4.
The arithmetic of problem 4 is correct as shown.
9*52
Multiply
Final Answer: 468
Answer:
2x3 Top Planter - 6
2x6 Side of Planter - 12
Full Sqaure Feet - 72
Side Note:
Correct me if I am wrong.
I haven't done fifth/sixth grade math in a long time
Answer:
idk
Step-by-step explanation:
i cant see the whole screen