The equations that can be used to find the numbers are:
x = 19 - y and x = 5y +1.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We know that the sum of two factors of 48 is nineteen, so we can write an equation:
x + y = 19
We also know that the larger factor, x, is one more than five times the smaller factor, y, so we can write another equation:
x = 5y + 1
Now we can substitute the second equation into the first equation to eliminate x and solve for y:
(5y + 1) + y = 19
6y + 1 = 19
6y = 18
y = 3
Now we can substitute y = 3 into the second equation to find x:
x = 5y + 1
x = 5(3) + 1
x = 16
So the two factors of 48 that add up to 19 are 3 and 16.
Now let's check which system of equations can be used to find the numbers.
a.
x = 19 - y
x = 5y +1
Substituting the first equation into the second equation, we get:
19 - y = 5y + 1
18 = 6y
y = 3
Substituting y = 3 into the first equation, we get:
x = 19 - y
x = 16
So this system of equations can be used to find the numbers.
b.
x = 19 + y
y = 5x + 1
Substituting the first equation into the second equation, we get:
y = 5(19 + y) + 1
y = 96 + 5y
4y = 96
y = 24
Substituting y = 24 into the first equation, we get:
x = 19 + y
x = 43
So this system of equations does not give us the correct solution.
c.
x = y + 19
y = 5x -1
Substituting the first equation into the second equation, we get:
y = 5(y + 19) - 1
y = 94
Substituting y = 94 into the first equation, we get:
x = y + 19
x = 113
So this system of equations does not give us the correct solution.
d.
x = y - 19
x = 5y +1
Substituting the first equation into the second equation, we get:
y - 19 = 5y + 1
-4y = 20
y = -5
Substituting y = -5 into the first equation, we get:
x = y - 19
x = -24
So this system of equations does not give us the correct solution.
Therefore,
The equations are x = 19 - y and x = 5y +1.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Use the diagram to answer each of the following questions.
a) Without performing any algebraic manipulations, can you define h the relation between x and y?
b) Write the expressions for x and y in terms of k.
c) Write the expression for w in terms of k.
d) Write the expression for z in terms of k.
Answer:
Step-by-step explanation
x and y is the line slope to slope e to answer your question so
write out b and you will find your answer.
In a scale drawing of a plane, 1 inch equals 3 meters. If the drawing of the plane is 17 inches what is the actual length of the plane?
Answer:
5.2 meters
Step-by-step explanation:
Answer:
5.2 Meters
Step-by-step explanation:
Hope I helped
Have a great day
i suck at algebra any recomendations on like videos to watch or methods????? PLS HELP I HAVE A F AND FAILED 2 TEST ty <3
Answer:
search the video
Step-by-step explanation:
Algebra 1 Lesson 1- Intro to Algebra (Definition of terms)
Tyler’s Puzzle
Choose a number, but do not share the number with anyone else. You will perform a sequence of operations on your number and then write your final answer.
Triple the number.
Subtract 7.
Double the result.
Subtract 22.
Divide by 6.
Write your explanation, figure out how Tyler's Puzzle works. ( use variables, expressions, and/or equations in your explanation.
Answer:
12.3
Step-by-step explanation:
16x3=48x2=96-22=74 divided by 6=12.3
Which statements are correct about the table? Check all that apply.
Multiply h by 450 to get m.
Multiply m by 450 to get h.
The missing value in the last row is 2,250.
The missing value in the last row is 1,805.
A real-world situation represented in the table is “A jet airplane is traveling at 450 mph.”
A real-world situation represented in the table is “A jet airplane is traveling 450 miles in 2 hours.
Answer:
a.c.e are your awnsers
Step-by-step explanation:
The correct statements are:
The missing value in the last row is 2,250.
And a real-world situation represented in the table is “A jet airplane is traveling at 450 mph.”
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given that a table.
To find the correct statement about the table:
The data points in the table represent the linear function,
The function passes through two points (1, 450) and (2, 900),
then the equation of the line is,
y - 450 = (900 - 450)/((2 - 1) (x - 1)
y - 450 = 450x - 450
y = 450x
when x = 5, y = 2250.
From the given choices,
The missing value in the last row is 2,250.
And a real-world situation represented in the table is “A jet airplane is traveling at 450 mph.”
To learn more about the slope;
brainly.com/question/3605446
#SPJ3
An open sentence that contains the symbol , or ≥ is called a(n)
Answer:
It is called an inequality.
hope this helps!
Step-by-step explanation:
BRAINILIST TO FIRST PERSON TO ANSWER AND GET IT CORRECT!!! please answer fast!
Answer:
The model show the expression 3/10 ÷ 1 4/5. There are six groups of 3/10 that make up 1 4/5. Tina can make six bottles of perfume.
Step-by-step explanation:
0.4x + 6.1, x= -5. (show work)
If N > 9 the decimal equivalent is _______ Repeating
Answer:
Wouldnt it just be 10 lol? there is no decimal equivalent
Step-by-step explanation:
7. If two people stayed in a motel room, how much did
each person pay? (Round to the nearest hundredths place.
EX: 0.775 = .78)
Answer:
the answer should be 98
Step-by-step explanation:
1145.55 - 341.25 -454.65 - 153.65 = 196
There are two people so divide by 2
196/2 = 98
The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.
The elevation of the point closest to sea level is ____ feet, and the elevation of the point farthest from sea level is ____ feet.
Answer:
Step-by-step explanation:
closest is -8. farthest is -47
Six students are at an amusement park. In how many ways can they divide themselves into 3 groups each containing 2 people?
Answer:
2
Step-by-step explanation:
To divide using a model, which of the following are true? Select all that are correct.
Answer:
Im srry can you give me the answers for the question
Step-by-step explanation:
Plz so I can help you
A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation? 2y = 16x +14 y = 8x – 7 y = –8x + 7 2y = −16x − 14 Mark this and return
PLEASE HELP IM SUPER ANXIOUS RIGHT NOW!!!!!
Graph the function
f(x)= {x+1 if x 1
on the coordinate plane
Write the subtraction expression as an equivalent addition expression and then evaluate it.
−12−(−10)
Enter the correct answers in the boxes.
Addition Expression:
Evaluate:
Answer:
-2
Explain: when you subtract or add two negatives it comes out as a negative. so basically its just easy subtraction.
Solve step by step:
-12−(−10)
=−12−(−10)
=−12+10
=−2
Please help me with this question
Answer:
The answer is C.
Step-by-step explanation:
5*6=30
Answer:
C
Step-by-step explanation:
you could round 4.95 up to 5
5×6=30
20 is NOT a good estimate
What is the greatest possible value of a in the system of equations 5a + 2b = 0 and ab = -10?
please don't answer unless you have the correct answer
Answer:
The greatest possible Value would be -70.
Step-by-step explanation:
5(-10) + 2(-10) = 0
-50+-20= -70
Sorry, I hope this is right.
1.5x - 2.5. x=3. (show work)
Step-by-step explanation:
Simplifying
1.5x + -2.5x = 3
Combine like terms: 1.5x + -2.5x = -1x
-1x = 3
Solving
-1x = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-1'.
x = -3
Simplifying
x = -3
Answer:
1.5(3)-2.5
4.5 - 2.5
2
Step-by-step explanation:
the answer is 2 ;)
HELPPPP PLZZZZ!!!!!!!!!!!
Answer:
1 hour=$9.30
5 hours=46.50
8 hours=$74.40
11 hours=$102.30
6 1/2 hours=$60.45
B)$20
Step-by-step explanation:
Multiply each hour by $9.30.
Divide $186 by $9.30
Hey everyone i need your help again what's 3(11x + 5) = 279
Answer:
x = 8
Step-by-step explanation:
We can use PEMDAS to solve algebraic equations:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
First, we have parentheses in this equation, so distribute
3(11x) + 3(5) = 279
Next, because there are no exponents, multiply
33x + 15 = 279
To isolate x, subtract 15 from both sides
33x + 15 - 15 = 279 - 15
33x = 264
Then divide both sides by 33
x = 8
The ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2. The store
has 90 BMX bikes. How many mountain bikes does the store have?
BMX: 3 to 2
BMX:90 to 60
90x2=180 180÷3=60
Answer: 60
The store has 60 mountain bikes if there is ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2.
What is Ratio?An ordered pair of numbers a and b, written a / b where b does not equal 0 is called ratio.
The ratio of BMX bikes to mountain bikes in the store is 3 to 2.
Which means that for every 3 BMX bikes, the store has 2 mountain bikes.
It is given that the store has 90 BMX bikes.
Let us set up a proportion to find the number of mountain bikes:
3 BMX bikes / 2 mountain bikes = 90 BMX bikes / x mountain bikes
where x is the number of mountain bikes.
Now solve for x
3 BMX bikes × x mountain bikes = 2 mountain bikes × 90 BMX bikes
3x = 180
Divide both sides by 3
x = 60
Therefore, the store has 60 mountain bikes.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ3
Simplify the expression 2x+(x)(3+x). Write products as powers when possible.
Answer:
Step-by-step explanation:
2x+(x)(3+x) multiple or foil the ()
2x+3x+x^2 combine like terms
5x+x^2 or x^2+5x
[PICTURE ATTACHED] HEEELLPP!
Answer:I believe it is ther last one about negative info.
Step-by-step explanation:
Greta uses 2 ounces of pasta to make 2/9 of a serving of pasta. How many ounces of pasta are there per serving?
Answer:9 ounces
Step-by-step explanation:
So first you want to start off with what you know
2/9 of a swerving is 2 ounces of pasta
Which aslo lets you know 1/9 of a serving = 1 ounce of pasta
Since 1/9 of a serving is 1 ounce you want to times that by 9 to get a whole serving
1 * 9 = 9
So you know that 1 serving is 9 ounces of pasta
I just do not understand how to answer this questions (not a test brainly)
Answer: その店はスナックよりも96杯多い飲み物を売った。
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
80% bought a drink
30% bought a snack
30% is said to be 120 people
So 60% would be 240 (30%x2)
To find the remaining 20% we need to find out how much one part will be so:
120÷30 is 4
20x4=80
240+80= 320
320-120=200
correct me if I'm wrong
what is (-j + 8)1/2 ?
Answer:
[tex]-\frac{j}{2} + 4[/tex]
Step by Step:
[tex]\frac{(-j+8)(1)}{2} \\\\=\frac{-1}{2} j+4[/tex]
Hope this helps :)
-j/2+4
Here ya go hope you like it :)
Please help! Brainliest to the first answer!
Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations? Show your work
Answer:
30,340 feet above sea level is the correct answer.
Step-by-step explanation:
To find the difference to between the two sea levels, subtract the lowest quantity (or the elevation of the Dead Sea) to the largest quantity (or the elevation of Mt. Everest.)
However, in this situation, you must also add the quantity of the above sea level to the subtraction, since the lower quantity is above sea level.
29,028 - 29,028 = 0
Now, we must subtract the lower quantity of 1,312.
0 - 1,312 = -1,312
If this was to be represented on a number line, the difference between our work relates to the absolute value, or the amount of spaces a number is from 0. Even though this is a negative number, you can take away the sign (if there is any) from in front of the number, and the absolute value will still be 1,312.
To find the total difference, add 29,028 to 1,312.
29,028 + 1,312 = 30,340
Therefore, our final answer is 30,340 feet above sea level.
Hope this helps! :)
Monica bought 2 drinks and 3 bags of popcorn for $22. Her dad bought 4 drinks for $20. How much is each drink and bag of popcorn? One equation looks like:
2x + 3y = 22
Find the other equation and solve the system.
Answer:
7
Step-by-step explanation:
Answer:
each drink costs $5 each bag of popcorn cost $4
Step-by-step explanation: