There are about 16 kilometers in the 10 miles. About how many kilometers are in 5 miles?
There are approximately 8 kilometers in 5 miles.
Tanjiro has 14 coins that have a value of $1.20 in total. He only has dimes and nickels. How many nickels does Tanjiro have?
Let's use algebra to solve this problem. Let x be the number of nickels Tanjiro has, then we know he has 14-x dimes.
The value of the nickels is 0.05x and the value of the dimes is 0.1(14-x) = 1.4 - 0.1x.
The total value of all the coins is $1.20, so we can set up an equation:
0.05x + 1.4 - 0.1x = 1.2
Simplifying and solving for x, we get:
-0.05x = -0.2
x = 4
Therefore, Tanjiro has 4 nickels and 14-4 = 10 dimes.
Noah receives a $5 discount each month on his cell phone bill because he signed up for
auto-pay from his bank account. Over the last 8 months, Noah has paid a total of
$280 for his cell phone bill. What would Noah be charged for his cell phone bill each
month if he stopped using auto-pay?
If Noah has received a $5 discount each month, then his actual bill each month would be $5 more than what he has been paying.
Let's represent his actual bill each month with x. Then we can set up an equation based on the total amount he has paid over the past 8 months:
8x = $280
Solving for x, we get:
x = $35
So if Noah stopped using auto-pay, he would be charged $35 each month for his cell phone bill.
The table below shows the relationship y = kx.
What is the constant of proportionality, k?
x: 60, 45, 30, 15
y: 12, 9, 6, 3
To find the constant of proportionality, we need to use the formula:
k = y/x
We can choose any pair of corresponding values for x and y. Let's use the first pair:
k = 12/60
Simplifying, we get:
k = 1/5
Therefore, the constant of proportionality is k = 1/5 or 0.2.
Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation represents this situation?
A. x + (x − 3) = 21, where x is the number of marbles Geraldo has
B. x + (3x) = 21, where x is the number of marbles Geraldo has
C. x + (x − 3) = 21, where x is the number of marbles Yan has
D. x + (3x) = 21, where is the number of marbles Yan has
Let x be the number of marbles Geraldo has. Then, according to the problem, Yan has 3 more marbles than x, which is x+3. Together, they have 21 marbles, so we can set up the following equation:
x + (x+3) = 21
Simplifying, we get:
2x+3 = 21
Subtracting 3 from both sides, we get:
2x = 18
Dividing both sides by 2, we get:
x = 9
So Geraldo has 9 marbles and Yan has 12 marbles.
Therefore, the equation that represents this situation is A. x + (x-3) = 21, where x is the number of marbles Geraldo has.
Solve.
8w + 5 = 4 (2w + 1)