There are about 16 kilometers in the 10 miles. About how many kilometers are in 5 miles?
42 answers
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.
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?
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.
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
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.
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
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.
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)
8w + 5 = 4 (2w + 1)
Let's distribute the 4 on the right side of the equation first:
8w + 5 = 8w + 4
Now we can isolate w by subtracting 8w from both sides:
5 = 4
This is a false statement, which means there is no solution to this equation.
Therefore, there is no solution to the equation 8w + 5 = 4(2w+1).
8w + 5 = 8w + 4
Now we can isolate w by subtracting 8w from both sides:
5 = 4
This is a false statement, which means there is no solution to this equation.
Therefore, there is no solution to the equation 8w + 5 = 4(2w+1).
Correct! There is no possible solution to this equation.
As an AI language model, I'm glad to be of assistance. Please feel free to ask me any questions if you have any doubts or concerns.
Which expression fits the description?
- The expression is the quotient of two quantities.
- The numerator of the expression is the product of 5 and the sum of x and y
- The denominator is the product of negative 8 and x.
A. 5x + y / -8 + x
B. 5 (x + y) / -(8 + x)
C. 5x + y / -8x
D. 5 (x + y) / -8x
- The expression is the quotient of two quantities.
- The numerator of the expression is the product of 5 and the sum of x and y
- The denominator is the product of negative 8 and x.
A. 5x + y / -8 + x
B. 5 (x + y) / -(8 + x)
C. 5x + y / -8x
D. 5 (x + y) / -8x
The expression that fits the given description is B.
The numerator of the expression is the product of 5 and the sum of x and y, which is 5(x+y).
The denominator is the product of negative 8 and x, which is -8x.
So the complete expression is:
5(x+y) / -(8+x)
which is equivalent to:
-5(x+y) / (8+x)
Therefore, the expression that fits the description is B.
The numerator of the expression is the product of 5 and the sum of x and y, which is 5(x+y).
The denominator is the product of negative 8 and x, which is -8x.
So the complete expression is:
5(x+y) / -(8+x)
which is equivalent to:
-5(x+y) / (8+x)
Therefore, the expression that fits the description is B.
Manuel ate 1/3 of the crackers on a plate. His brother ate 1/4 of the crackers. There were 5 crackers left. How many crackers were there to begin with?
Let's use x to represent the total number of crackers on the plate.
Manuel ate 1/3 of the crackers on the plate, which means there were (2/3) of the crackers left:
(2/3)x
His brother ate 1/4 of the crackers on the plate, which means there were (3/4) of the crackers left:
(3/4)(2/3)x
We know there were 5 crackers left, so we can set up an equation:
(3/4)(2/3)x = 5
Multiplying both sides by (4/3)(3/2) to isolate x, we get:
x = 20
Therefore, there were 20 crackers on the plate to begin with.
Manuel ate 1/3 of the crackers on the plate, which means there were (2/3) of the crackers left:
(2/3)x
His brother ate 1/4 of the crackers on the plate, which means there were (3/4) of the crackers left:
(3/4)(2/3)x
We know there were 5 crackers left, so we can set up an equation:
(3/4)(2/3)x = 5
Multiplying both sides by (4/3)(3/2) to isolate x, we get:
x = 20
Therefore, there were 20 crackers on the plate to begin with.
What is the value of this expression when x = 8?
4x - 6 + x + 3
4x - 6 + x + 3
When x = 8, we can substitute 8 into the expression:
4x - 6 + x + 3 = 4(8) - 6 + 8 + 3
Simplifying, we get:
32 - 6 + 8 + 3 = 37
Therefore, the value of the expression is 37 when x = 8.
4x - 6 + x + 3 = 4(8) - 6 + 8 + 3
Simplifying, we get:
32 - 6 + 8 + 3 = 37
Therefore, the value of the expression is 37 when x = 8.
Ms. Diaz buys strawberries by the pound at a farmer's market. She pays $21.25 for all her strawberries. One pound of strawberries costs $4.25. Which equation and solution represents p, the number of pounds of strawberries Ms. Diaz buys?
1. 4.25 = 21.25p - Ms. Diaz buys 1/5 pound of strawberries.
2. 21.25 = 4.25p - Ms. Diaz buys 5 pounds of strawberries.
3. 4.25 = 21.25p - Ms. Diaz buys 5 pounds of strawberries.
4. 21.25 = 4.25p Ms. Diaz buys 1/5 pound of strawberries.
1. 4.25 = 21.25p - Ms. Diaz buys 1/5 pound of strawberries.
2. 21.25 = 4.25p - Ms. Diaz buys 5 pounds of strawberries.
3. 4.25 = 21.25p - Ms. Diaz buys 5 pounds of strawberries.
4. 21.25 = 4.25p Ms. Diaz buys 1/5 pound of strawberries.
Let p be the number of pounds of strawberries that Ms. Diaz buys.
We know that the cost of one pound of strawberries is $4.25, which means the cost of p pounds of strawberries is 4.25p.
We are also given that Ms. Diaz pays $21.25 for all her strawberries. So we can set up an equation:
4.25p = 21.25
Solving for p, we get:
p = 5
Therefore, Ms. Diaz buys 5 pounds of strawberries, and the equation that represents this situation is 2. 21.25 = 4.25p - Ms. Diaz buys 5 pounds of strawberries.
We know that the cost of one pound of strawberries is $4.25, which means the cost of p pounds of strawberries is 4.25p.
We are also given that Ms. Diaz pays $21.25 for all her strawberries. So we can set up an equation:
4.25p = 21.25
Solving for p, we get:
p = 5
Therefore, Ms. Diaz buys 5 pounds of strawberries, and the equation that represents this situation is 2. 21.25 = 4.25p - Ms. Diaz buys 5 pounds of strawberries.
Ana has a garden with a width of 2.3 meters and a length of 2.8 meters. She makes a model to help her determine the area of her garden. What is the area of Ana's garden?
To find the area of Ana's garden, we need to multiply its length by its width:
Area = Length x Width
Area = 2.3 x 2.8
Area = 6.44 square meters
Therefore, the area of Ana's garden is 6.44 square meters.
Area = Length x Width
Area = 2.3 x 2.8
Area = 6.44 square meters
Therefore, the area of Ana's garden is 6.44 square meters.
What is the missing number in this pattern?
2.704 × 10 = 27.04
2.704 × 100 = 270.4
2.704 × 1,000 = ???
2.704 × 10 = 27.04
2.704 × 100 = 270.4
2.704 × 1,000 = ???
To find the missing number in the pattern, we can continue to multiply 2.704 by 10 for each line:
2.704 × 10 = 27.04
2.704 × 100 = 270.4
2.704 × 1,000 = 2,704
Therefore, the missing number in the pattern is 2,704.
2.704 × 10 = 27.04
2.704 × 100 = 270.4
2.704 × 1,000 = 2,704
Therefore, the missing number in the pattern is 2,704.
-7 × (-8) = ???
To multiply -7 and -8, we can use the rule that a negative multiplied by a negative equals a positive.
So:
-7 × (-8) = 56
Therefore, -7 times -8 equals 56.
So:
-7 × (-8) = 56
Therefore, -7 times -8 equals 56.
Jorge walked 25 steps north. Then he walked 75 steps south. What is Jorge's final position?
If Jorge walked 25 steps north and then 75 steps south, his net displacement or final position would be 75 - 25 = 50 steps south from his starting point.
Therefore, Jorge's final position is 50 steps south.
Therefore, Jorge's final position is 50 steps south.
Pema's room is 18 feet long and 14 feet wide. She drew a plan to divide the room into sections. On the drawn plan, Pema's Study Corner is 7 feet wide and 10 feet long. What equation can be used to find the area of the Study Corner?
The area of the Study Corner can be found using the formula:
Area = Length x Width
We are given that the Study Corner is 10 feet long and 7 feet wide, so we can substitute these values into our formula:
Area = 10 x 7
Simplifying, we get:
Area = 70
Therefore, the equation that can be used to find the area of the Study Corner is:
Area = 10 x 7 = 70
Area = Length x Width
We are given that the Study Corner is 10 feet long and 7 feet wide, so we can substitute these values into our formula:
Area = 10 x 7
Simplifying, we get:
Area = 70
Therefore, the equation that can be used to find the area of the Study Corner is:
Area = 10 x 7 = 70
Which best describes how to add 9.73 and 21.6?
1. Align the digits on the left digit. Add from left to right, regrouping as necessary.
2. Align the digits on the right digit. Add from right to left, regrouping as necessary.
3. Align the digits on the decimal point. Add from right to left, regrouping as necessary.
4. Align the digits on the decimal point. Add from left to right, regrouping as necessary.
1. Align the digits on the left digit. Add from left to right, regrouping as necessary.
2. Align the digits on the right digit. Add from right to left, regrouping as necessary.
3. Align the digits on the decimal point. Add from right to left, regrouping as necessary.
4. Align the digits on the decimal point. Add from left to right, regrouping as necessary.
To add 9.73 and 21.6, we need to align the digits on the decimal point and add from right to left, regrouping as necessary.
So, the correct option is 3: Align the digits on the decimal point. Add from right to left, regrouping as necessary.
So, the correct option is 3: Align the digits on the decimal point. Add from right to left, regrouping as necessary.
1/4 × 1 1/2
To multiply 1/4 by 1 1/2, we first need to convert 1 1/2 into an improper fraction:
1 1/2 = 3/2
Now we can multiply 1/4 by 3/2:
1/4 × 3/2 = (1 × 3) / (4 × 2)
Simplifying, we get:
3/8
Therefore, 1/4 times 1 1/2 equals 3/8.
1 1/2 = 3/2
Now we can multiply 1/4 by 3/2:
1/4 × 3/2 = (1 × 3) / (4 × 2)
Simplifying, we get:
3/8
Therefore, 1/4 times 1 1/2 equals 3/8.
1 1/7 × 3/5 =
To multiply 1 1/7 by 3/5, we first need to convert 1 1/7 into an improper fraction:
1 1/7 = 8/7
Now we can multiply 8/7 by 3/5:
8/7 × 3/5 = (8 × 3) / (7 × 5)
Simplifying, we get:
24/35
Therefore, 1 1/7 times 3/5 equals to 24/35.
1 1/7 = 8/7
Now we can multiply 8/7 by 3/5:
8/7 × 3/5 = (8 × 3) / (7 × 5)
Simplifying, we get:
24/35
Therefore, 1 1/7 times 3/5 equals to 24/35.
Division symbol
The division symbol is typically represented as ÷ or / in mathematics. For example, in the expression 8 ÷ 2 = 4, the division symbol is ÷. Similarly, in the expression 10/5 = 2, the division symbol is /.
4 ÷ 1/3
To divide 4 by 1/3, we can use the reciprocal of 1/3, which is 3/1, and multiply:
4 ÷ 1/3 = 4 × 3/1
Simplifying, we get:
4 ÷ 1/3 = 12
Therefore, 4 divided by 1/3 is equal to 12.
4 ÷ 1/3 = 4 × 3/1
Simplifying, we get:
4 ÷ 1/3 = 12
Therefore, 4 divided by 1/3 is equal to 12.
Mad Maggie buys 3/4 pound of blueberries and uses 3/5 of them to make a smoothie. How many pounds of blueberries did Mad Maggie use to make the smoothie?
1 answer