Let's call Jerry's number "x".
According to the problem, Mary's number is 11 more than Jerry's, so Mary's number is:
x + 11
The sum of their numbers adds up to 89:
x + (x + 11) = 89
Now we can solve for x:
2x + 11 = 89
Subtract 11 from both sides:
2x = 78
Divide both sides by 2:
x = 39
So Jerry's number is 39.
To find Mary's number, we can use the equation we came up with earlier:
Mary's number = x + 11 = 39 + 11 = 50
So Mary's number is 50.
Therefore, Jerry's number is 39 and Mary's number is 50.
Mary's number is 11 more than Jerry's. If the sum of their number adds up to 89, what are their numbers?
23 answers
Jeff made 243.75$ last week. If he worked 25 hours, how much is he paid per hour?
To find Jeff's hourly rate, we need to divide his total earnings by the number of hours he worked:
Hourly rate = Total earnings / Number of hours worked
Hourly rate = $243.75 / 25 hours
Hourly rate = $9.75 per hour
Therefore, Jeff is paid $9.75 per hour.
Hourly rate = Total earnings / Number of hours worked
Hourly rate = $243.75 / 25 hours
Hourly rate = $9.75 per hour
Therefore, Jeff is paid $9.75 per hour.
Ashley ran from home to school in 10 minutes. If home to school is 1.5 miles, what is Ashley's speed in mph?
We need to convert the time from minutes to hours and the distance from miles to hours, in order to find Ashley's speed in mph.
10 minutes is 1/6 of an hour (because there are 60 minutes in an hour, so 10/60 = 1/6).
1.5 miles is the distance from home to school.
Ashley's speed (in miles per hour) is given by the formula:
Speed = Distance / Time
Speed = 1.5 miles / (1/6 hour)
Speed = 1.5 miles * 6
Speed = 9 miles per hour
Therefore, Ashley's speed in mph is 9 mph.
10 minutes is 1/6 of an hour (because there are 60 minutes in an hour, so 10/60 = 1/6).
1.5 miles is the distance from home to school.
Ashley's speed (in miles per hour) is given by the formula:
Speed = Distance / Time
Speed = 1.5 miles / (1/6 hour)
Speed = 1.5 miles * 6
Speed = 9 miles per hour
Therefore, Ashley's speed in mph is 9 mph.
Joan is 5 years older than Ellen, and 3 years ago, the sum of their ages was 17. In how many years will Joan be 21?
Let's start by using algebra to set up two equations based on the information given:
1. Joan is 5 years older than Ellen:
Joan = Ellen + 5
2. Three years ago, the sum of their ages was 17:
(Joan - 3) + (Ellen - 3) = 17
Now we can solve for the ages of Joan and Ellen:
(Joan - 3) + (Ellen - 3) = 17
Joan - 3 + Ellen - 3 = 17
Joan + Ellen - 6 = 17
Joan + Ellen = 23
Using the first equation, we can substitute Joan = Ellen + 5 into the second equation:
Joan + Ellen = 23
(Ellen + 5) + Ellen = 23
2Ellen + 5 = 23
2Ellen = 18
Ellen = 9
Now that we know Ellen is 9 years old, we can use the first equation to find Joan's age:
Joan = Ellen + 5
Joan = 9 + 5
Joan = 14
To find out how many years it will take Joan to be 21, we can set up another equation:
Joan + x = 21
where x is the number of years from now when Joan will be 21.
Substituting Joan = 14 into this equation gives:
14 + x = 21
x = 7
Therefore, Joan will be 21 in 7 years.
1. Joan is 5 years older than Ellen:
Joan = Ellen + 5
2. Three years ago, the sum of their ages was 17:
(Joan - 3) + (Ellen - 3) = 17
Now we can solve for the ages of Joan and Ellen:
(Joan - 3) + (Ellen - 3) = 17
Joan - 3 + Ellen - 3 = 17
Joan + Ellen - 6 = 17
Joan + Ellen = 23
Using the first equation, we can substitute Joan = Ellen + 5 into the second equation:
Joan + Ellen = 23
(Ellen + 5) + Ellen = 23
2Ellen + 5 = 23
2Ellen = 18
Ellen = 9
Now that we know Ellen is 9 years old, we can use the first equation to find Joan's age:
Joan = Ellen + 5
Joan = 9 + 5
Joan = 14
To find out how many years it will take Joan to be 21, we can set up another equation:
Joan + x = 21
where x is the number of years from now when Joan will be 21.
Substituting Joan = 14 into this equation gives:
14 + x = 21
x = 7
Therefore, Joan will be 21 in 7 years.
y+2 2/3=3 1/3
To solve for y in the equation:
y + 2 2/3 = 3 1/3
We can start by subtracting 2 2/3 from both sides of the equation:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
The 2 2/3 on the left side of the equation cancels out, leaving:
y = 3 1/3 - 2 2/3
To subtract the fractions 2/3 and 1/3, we need to find a common denominator, which is 3. Then we can write:
y = 3 - 2
y = 1
Therefore, the solution to the equation is y = 1.
y + 2 2/3 = 3 1/3
We can start by subtracting 2 2/3 from both sides of the equation:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
The 2 2/3 on the left side of the equation cancels out, leaving:
y = 3 1/3 - 2 2/3
To subtract the fractions 2/3 and 1/3, we need to find a common denominator, which is 3. Then we can write:
y = 3 - 2
y = 1
Therefore, the solution to the equation is y = 1.
You sure that's right?
I apologize, I made a mistake in my previous answer.
To solve for y in the equation:
y + 2 2/3 = 3 1/3
We can start by subtracting 2 2/3 from both sides of the equation:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
The 2 2/3 on the left side of the equation cancels out, leaving:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we first need to find a common denominator, which is 3. Then we can write:
y = 3 - 2
y = 1
Therefore, the solution to the equation is y = 1.
I apologize for any confusion this may have caused.
To solve for y in the equation:
y + 2 2/3 = 3 1/3
We can start by subtracting 2 2/3 from both sides of the equation:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
The 2 2/3 on the left side of the equation cancels out, leaving:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we first need to find a common denominator, which is 3. Then we can write:
y = 3 - 2
y = 1
Therefore, the solution to the equation is y = 1.
I apologize for any confusion this may have caused.
What is "The Christmas Prince: The Royal Baby" about?
"The Christmas Prince: The Royal Baby" is a Netflix original movie that was released in 2019. It is the third movie in the "Christmas Prince" series.
In the movie, Queen Amber and King Richard are expecting their first child, and they're also hosting a peace conference with a neighboring country to renew a long-standing treaty. However, the treaty gets stolen, and Amber and Richard must work together with their royal family and friends to solve the mystery and retrieve the missing treaty before it's too late.
The movie is a romantic comedy with elements of mystery and adventure, set in the fictional European country of Aldovia.
In the movie, Queen Amber and King Richard are expecting their first child, and they're also hosting a peace conference with a neighboring country to renew a long-standing treaty. However, the treaty gets stolen, and Amber and Richard must work together with their royal family and friends to solve the mystery and retrieve the missing treaty before it's too late.
The movie is a romantic comedy with elements of mystery and adventure, set in the fictional European country of Aldovia.
What is y+2 2/3=3 1/3
The equation y + 2 2/3 = 3 1/3 means that y added to 2 2/3 is equal to 3 1/3.
To solve for y, we can start by subtracting 2 2/3 from both sides of the equation:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
The 2 2/3 on the left side of the equation cancels out, leaving:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we first need to find a common denominator, which is 3. Then we can write:
y = 3 - 2
y = 1
Therefore, the solution to the equation is y = 1.
To solve for y, we can start by subtracting 2 2/3 from both sides of the equation:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
The 2 2/3 on the left side of the equation cancels out, leaving:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we first need to find a common denominator, which is 3. Then we can write:
y = 3 - 2
y = 1
Therefore, the solution to the equation is y = 1.
Wrong answer.
I apologize, it seems that I made a mistake in my previous response.
To solve the equation y + 2 2/3 = 3 1/3, we can start by subtracting 2 2/3 from both sides:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
Simplifying both sides, we get:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we need to make the denominators equal before subtracting:
3 1/3 - 2 2/3 = (3*3 + 1)/3 - (2*3 + 2)/3
= 10/3 - 8/3
= 2/3
Substituting this value back into the equation for y, we get:
y + 2 2/3 = 3 1/3
y + 2 2/3 = 3 + 1/3
y + 2 2/3 = 3 1/3
y = 3 1/3 - 2 2/3
y = 1/3
Therefore, the solution to the equation y + 2 2/3 = 3 1/3 is y = 1/3.
To solve the equation y + 2 2/3 = 3 1/3, we can start by subtracting 2 2/3 from both sides:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
Simplifying both sides, we get:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we need to make the denominators equal before subtracting:
3 1/3 - 2 2/3 = (3*3 + 1)/3 - (2*3 + 2)/3
= 10/3 - 8/3
= 2/3
Substituting this value back into the equation for y, we get:
y + 2 2/3 = 3 1/3
y + 2 2/3 = 3 + 1/3
y + 2 2/3 = 3 1/3
y = 3 1/3 - 2 2/3
y = 1/3
Therefore, the solution to the equation y + 2 2/3 = 3 1/3 is y = 1/3.
No, wrong answer.
I apologize for the confusion. Let me try again:
We have the equation y + 2 2/3 = 3 1/3.
To solve for y, we can start by subtracting 2 2/3 from both sides:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
This simplifies to:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we need to change both fractions to have a common denominator:
y = 10/3 - 8/3
y = 2/3
Therefore, the solution to the equation y + 2 2/3 = 3 1/3 is y = 2/3.
We have the equation y + 2 2/3 = 3 1/3.
To solve for y, we can start by subtracting 2 2/3 from both sides:
y + 2 2/3 - 2 2/3 = 3 1/3 - 2 2/3
This simplifies to:
y = 3 1/3 - 2 2/3
To subtract 2 2/3 from 3 1/3, we need to change both fractions to have a common denominator:
y = 10/3 - 8/3
y = 2/3
Therefore, the solution to the equation y + 2 2/3 = 3 1/3 is y = 2/3.
45/78. Please reduce.
To reduce 45/78 to its simplest form, we need to find the greatest common factor (GCF) of the numerator and denominator, and then divide both by the GCF.
45 and 78 have a common factor of 3:
45 ÷ 3 = 15
78 ÷ 3 = 26
Therefore, 45/78 can be simplified to:
15/26
So the simplified form of 45/78 is 15/26.
45 and 78 have a common factor of 3:
45 ÷ 3 = 15
78 ÷ 3 = 26
Therefore, 45/78 can be simplified to:
15/26
So the simplified form of 45/78 is 15/26.
108/144. Please reduce.
To reduce 108/144 to its simplest form, we need to find the greatest common factor (GCF) of the numerator and the denominator and then divide both by the GCF.
The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
The common factors of 108 and 144 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The greatest common factor of 108 and 144 is 36.
Dividing both the numerator and the denominator by 36, we get:
108/144 = (108 ÷ 36) / (144 ÷ 36) = 3/4
Therefore, 108/144 simplified to its simplest form is 3/4.
The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
The common factors of 108 and 144 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The greatest common factor of 108 and 144 is 36.
Dividing both the numerator and the denominator by 36, we get:
108/144 = (108 ÷ 36) / (144 ÷ 36) = 3/4
Therefore, 108/144 simplified to its simplest form is 3/4.
1 answer