the sum of two numbers is 60. the larger number is 12 more than the smaller number. what is the number?
Answers
The smaller number is: 24
Firstly, if a number is 12 more than the other, that means that the difference between the two numbers is 12
If you divide 60 by 2, you get two 30's. Then, if you add 6 to one of the 30's and then subtract 6 to the other 30, resulting in 36 and 24, you get set of numbers which equal 60 and also have a difference of 12.
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John and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model this situation, and find the cost of one large drink.A. 5d + $10.00 – $4.00 = $13.50; $1.50 B. 4d + $10.00 – $4.00 = $13.50; $1.88 C. 5d + $10.00 – $4.00 = $13.50; $1.70 D. 5d – $10.00 + $4.00 = $13.50; $4.88
Ivor Wrench uses this formula to work out the cost of a plumbing job in pounds. A job of x hours costs the same with Dwayne and Ivor.
Set up and solve an equation to work out x .
X=.........
Answers
The solution is: x = 10/3 hours
What is the equations with one variable?
An equation with one variable is a mathematical statement that involves an unknown quantity represented by a letter, usually x, and an equal sign, where the expressions on both sides of the equal sign have the same value.
We need to set up an equation using the given information to solve for x.
Let's start with Dwayne's formula:
Cost = 30x + 50
And Ivor's formula:
Cost = 45x
Since a job of x hours costs the same for both Dwayne and Ivor, we can set their formulas equal to each other:
30x + 50 = 45x
Simplifying and solving for x:
50 = 15x
x = 50/15
x = 10/3 hours
Therefore, the solution is: x = 10/3 hours
To learn more about equations with one variable, Visit
#SPJ1
Answers
Answer:
y= · x²
Step-by-step explanation:
·x²
p=3
·x²
Answers
Answer:
12
Step-by-step explanation:
3 + 3 + 3 + 3 = 12
Brainliest??? Plzzz!!!.....
b. Borrow the money for the down payment and pay it back later
c. Adjust her budget to save more each month
d. Take on a part-time job to earn extra income
Answers
Answer:
b. Borrow the money for the down payment and pay it back later
Step-by-step explanation:
Yvonne has a goal of buying a brand new home within a year.
She's afraid that she will be unable to save the money that she needs for a down payment.
The following should not be part of Yvonne's plan for achieving her goal of buying a home-
b. Borrow the money for the down payment and pay it back later
She can delay buying the house for a few months so she can save more money. She can also adjust her budget to save more. Also she can take a few other jobs to earn more and save more.
The only thing she should not consider is borrowing money.
In this way she will have to pay double debts. One to the lender and the other to the bank for home loan. Borrowing money will create more difficulties for her, so she should not so that.
Answers
The number of hard puzzles solved by Tina using a system of equations is 15
Using the relation :
- Number of easy puzzles = a
- Number of hard puzzles = b
- Points earned per easy puzzle = 30
- Points earned per hard puzzle = 60
- Total Number of puzzles = 50
- Total points earned = 1950
The system of equation representing the scenario can be written thus :
a + b = 50 - - - - - (1)
30a + 60b = 1950 - - - - (2)
From (1)
a = 50 - b - - - - - - (3)
Substitutea = 50 - b in (2)
30(50 - b) + 60b = 1950
1500 - 30b + 60b = 1950
1500 + 30b = 1950
30b = 1950 - 1500
b = 450 / 30
b = 15
Therefore, the Number of hard puzzles solved is 15
Learn more :brainly.com/question/18796573
This is a system of equations. We can solve it by recognizing the two linear equalities we've given to solve this equation.
First, let's start off by recognizing two variables: x and y. x will be our number of hard puzzles, and y will be our number of easy puzzles. We're given that the number of hard puzzles and easy puzzles sum to 50, so we can rewrite that as:
Next, we're given that the sum of the points gained from the hard puzzles (60x), and the number of points gained from the easy puzzles (30y), sum to 1950. We can rewrite that as:
Now, we have our two linear equations, and we must solve for the hard puzzles, so x. Solving for the hard puzzles means eliminating the easy puzzles from our systems, so we can multiply our first equation by 30, and subtract it from the first equation. This is a technique called elimination.
Since x=15, Tina has solved 15 hard puzzles.
Answers
Answer:
In short, 5 is the lesser number and 19 is the greater number.
Step-by-step explanation:
So for this, we will be doing a system of equations. Using the info from our question, our two equations are:
(let x = greater number and y = lesser number)
Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:
From here we can solve for y. Firstly, combine like terms:
Next, subtract 4y on both sides of the equation:
Next, multiply both sides by -1:
Now that we know the value of y, substitute it into either equation to solve for x:
Answer:
In short, 5 is the lesser number and 19 is the greater number.