3 years ago

Two times the sum of a number and 4 equals 30

1 answer:

3 0

Answer: 11

Step-by-step explanation: write the equation.

2(x+4)=30

Divide by 2

x+4=15

Subtract 4

x=11

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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.

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1 year ago

vagabundo [1.1K]

Well for 1.4 will be 1, 2.2 will be 2, 0.7 will be 1, 3.9 will be 4, and 1.8 is 2

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2 years ago

Brrunno [24]

I think y=-3x - 6 is right

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2 years ago

lord [1]

Solve for Y: y < 9

I don't know if you want me to solve for Y or not

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3 years ago

Yakvenalex [24]

The answer on top of me is correct

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2 years ago