CE
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Mar 28, 2024
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Tom scored 85, 78, and 98 on his first three exams in history class. Solving which inequality gives the score, $G$, on Tom's fourth exam that will result in a mean score on all four exams of at least 90 ?
Difficulty: Easy
A:
$90-(85+78+98)\leq 4G$
B:
$4G+85+78+98\geq 360$
C:
$\dfrac{(G+85+78+98)}{4} \geq 90$
D:
$\dfrac{(85+78+98)}{4}\geq 90-4G$
In the system of equations below, $a$ and $c$ are constants.
$$\frac{1}{2}x+\frac{1}{3}y=\frac{1}{6} \\ ax+y=c$$
If the system of equations has an infinite number of solutions $(x,y)$, what is the value of $a$?
Difficulty: Hard
A:
$-\dfrac{1}{2}$
B:
$0$
C:
$\dfrac{1}{2}$
D:
$-\dfrac{3}{2}$
Sean rents a tent at a cost of $\$11$ per day plus a one-time insurance fee of $\$10$. Which equation represents the total cost $c$, in dollars, to rent the tent with insurance for $d$ days?
Difficulty: Easy
A:
$c=11(d+10)$
B:
$c=10(d+11)$
C:
$c=11d+10$
D:
$c=10d+11$
Keenan made 32 cups of vegetable broth. Keenan then filled $\bm{x}$ small jars and $\bm{y}$ large jars with all the vegetable broth he made. The equation $3\bm{x}+5\bm{y}=32$ represents this situation. Which is the best interpretation of $5\bm{y}$ in this context?
Difficulty: Hard
A:
The number of large jars Keenan filled
B:
The number of small jars Keenan filled
C:
The total number of cups of vegetable broth in the large jars
D:
The total number of cups of vegetable broth in the small jars
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