When Clark was 7 years old he had 22 rare coins. Each year Clark added 15 coins to his collection. Assuming Clark does not sell or lose any coins, how old will Clark be when he has 577 coins?
A 30
B31
C37
D38
E44
To find out how old Clark will be when he has 577 coins, we need to find out how many years it will take for him to increase his collection from 22 coins to 577 coins.
First, we need to determine the difference between the beginning and ending number of coins: 577 coins - 22 coins = 555 coins.
Since each year Clark adds 15 coins to his collection, we can divide the difference by 15 to find out how many years it will take to accumulate that many coins: 555 coins / 15 coins/year = 37 years.
Therefore, Clark will be 37 years old when he has 577 coins.
The correct answer is C) 37.
One day each summer, Chandler earns money by having a lemonade stand in his neighborhood. He charges $0.50 per glass of lemonade, and he made a total of $24. How many glasses of lemonade did he sell?
To find out how many glasses of lemonade Chandler sold, we can divide the total amount he made ($24) by the price per glass ($0.50).
$24 / $0.50 = 48
Therefore, Chandler sold 48 glasses of lemonade.
If the absolute value of x is 4, what is the value of x?
If the absolute value of x is 4, it means that x can either be 4 or -4. The absolute value of a number gives the distance of that number from zero on the number line. Since |4| is 4 units away from zero, and |-4| is also 4 units away from zero, both 4 and -4 satisfy the condition. Therefore, the value of x can be either 4 or -4.
Which situation is best represented by the following equation?
8x + 6 = 38
Responses
A Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $4 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $4 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?
B Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $8 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $8 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?
C Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $6 per hour to walk the dogs, plus an additional $8 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $6 per hour to walk the dogs, plus an additional $8 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?
D Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $8 per hour to walk the dogs, plus an additional $6 per hour for giving them a bath. What is x, the number of hours Albert worked last week, if he earned $38?
The equation 8x + 6 = 38 is best represented by option A: Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $4 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. In this equation, x represents the number of hours Albert worked last week, and the left side of the equation represents the total amount Albert earned. By substituting x into the equation, we can find the value of x.
Solve for x.
-3x + 4 = -8
To solve for x in the equation -3x + 4 = -8, we need to isolate x on one side of the equation.
First, we can subtract 4 from both sides of the equation:
-3x + 4 - 4 = -8 - 4
This simplifies to:
-3x = -12
Next, we can divide both sides of the equation by -3 to solve for x:
(-3x) / -3 = (-12) / -3
This simplifies to:
x = 4
Therefore, the solution for x is 4.