Solve this system of equation without graphing.
5x + 2y = 29
5x - 2y = 41
Answer: Solving we get x=7 and y= -3
Step-by-step explanation: We need to solve the following systems of equations:
Let:
Adding eq(1) and eq(2)
So, value of x=7
Putting value of x in eq(1) to find value of y:
So, value of y = -3
So, Solving we get x=7 and y= -3
Keywords: Solving system of Equations
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One night a theater sold 548 movie tickets. An Adult’s ticket costs $6.50 and a child’s ticket cost $3.50. In all $2881 was taken in. How many of each kind of ticket were sold?
Step-by-step explanation:
let x be the number of adults and y the number of childrens
x+y=548 people because thats the whole number of sold tickets
and
6.50*x+3.50*y=2881 dollars in total
let separate x from the first formula
x=548-y
and replace it at the second equation
6.50*(548-y)+3.50y=2881
6.50*548-6.50y+3.50y=2881
3562-3y=2881
3y=681
y=227
so x=548-y=548-227=321
there were sold 321 adult tickets and 227 child's tickets.
Solution for y = 3x -1
3 equals what number plus 18?
Answer:
-21
Step-by-step explanation:
-21+18=3
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Answer:
She could arrange the books based on their number. She could start from the smallest number and then move onto the biggest number .
Step-by-step explanation:
There are two approaches to solving the equation -3x + 10 = 4x - 20
Subtract 4x from both sides. OR Add 3x to both sides.
–7x + 10 = –20 OR 10 = 7x – 20
Solve the equation using both approaches.
What is the solution?
Hannah makes $1,500 per month. She spends $450 on groceries and
eating out. What percentage of her budget is spent on food?
Can someone help me with this pls actually be right I need a good grade
PLEASE HELP ME!!!!!!!!!!
Answer:
A.)
Step-by-step explanation:
The front of a box and the sticker label on it are similar
rectangles. The front of the box has a width of 9 inches
and a length of 12 inches. Which dimensions could be
the dimensions of the sticker label?
Answer: 6 in by 8 in
Step-by-step explanation:
can someone tell me what's happening here? jk don't just help me answer this plzzzzz
7x+4-2x=6(x+1)-x
Answer:
the sides are not equalStep-by-step explanation:
7x + 4 - 2x = 6(x + 1) - x expand
7x + 4 - 2x = 6x + 6 - x combine similar terms
7x - 6x - 2x + x = 6 - 4
0 = 2 ------ no solution
HELP PLEASE TO CONFUING FOR ME
Answer:wow this is hard
Step-by-step explanation:
Solve for y: 6(y –1/3 ) = 4(3y – 5).
The solution is y =?
Answer:
y=3
Step-by-step explanation:
Given the expression 2m - 7x + 6 + 3x - 4 what are the CONSTANTS?
Answer:
The constants are 6 and 4
Step-by-step explanation:
They don’t have variables next to them
Use the graph shown to complete the following sentence.
when x = 1, then y = ___
Answer:
-2
Step-by-step explanation:
On the graph when the X value is equal to 1, the Y value is equal to -2.
Last year, the school library had a total of x books. Over the summer, the library acquired another 46 books and now had a total of 1,191 books. Which equation could be used to find x, the number of books the library had last year
Answer:
x is 1,145
Step-by-step explanation:
all you need to do is suntract 1,191 from 46 becase you do not know how many books they started with but you do know how many books they have after and how many books they got over the summer to add
A line has a slope of 1/4 and passes through the point (0.2. 4/5).
Find the value of b, the y-intercept.
b=
Answer:
The value of the y-intercept b is 0.75
Step-by-step explanation:
Here, we want to find the value of the y-intercept
The equation of the line can be written as;
y = mx + b
where m is slope and b is the y-intercept
so y = 1/4x + c
To get the value of b , we substitute for x and y using the given point
4/5 = 1/4(0.2) + c
Multiply
0.8 = (0.25)(0.2) + b
0.8 = 0.05 + b
b = 0.8 - 0.05 = 0.75
Answer:
b=0.75
Step-by-step explanation:
i did it on edge
sometime outiers can have a significant effect on statistics and sometime they don't . Use the following distribution to determine which statistics are affected by outliers. Round to the nearest hundredth.
THE FIRST PERSON TO GET IT RIGHT GET BRAINLIEST!!!!!!! Plzzz hurry I need to double check my answers.
Answer:
0.04 or 1/25
Step-by-step explanation:
If x = -2, then the equation is f(-2) = 5^-2
5^-2 is 0.04 so,
f(-2) = 0.04 or 1/25
I hope this helps :)
EMERGENCY! Please give me the correct answer!
Answer:
The answer is yes!
Step-by-step explanation:
I'm 100% sure, put it into a calculator and it'll give you 1 as the answer.
Answer:
Yes
Step-by-step explanation:
The answer is yes because:
1) As you can see, in standard form the pattern is x * 3 = y
2) If x = 1 it would match the pattern because the next number will be 1 x 3 which is 3, and then the the third number would be 3 x 3 = 9, and then the fourth number would be 9 x 3 = 27 and so on.
Hope this helps! :D
The ratio of juniors to seniors on the track team is 6:7. How many juniors are on the track team if there are 21 seniors on the team?
answer: 18
Answer:
There are 18 juniors on the track team
Answer:
There are a total of 18 juniors on the track team.
Step-by-step explanation:
Apply the following ratio to the quantity by multiplying.
6:7 = 6 to 7 or 6/7
6/7 × 21 = 126/7 = 18
hi i need the answer to this
Answer:
She forgot about the negative sign in front of the 3.7, therefore, she added 3.7 to -3.3 which is equals to 0.4
63.2g of sugar is needed to make 8 cakes how much sugar is needed for 12
Answer: 94.8
Step-by-step explanation:
To find this, you need half of 63.2 which is 31.6. Then add that to 63.2 and bam, your answer.
Answer:
94.8g of sugar
Step-by-step explanation:
Set up a ratio- [tex]\frac{63.2}{8} =\frac{?}{12}[/tex]
cross multiple- [tex]12*63.2=8*?[/tex]
solve- [tex]758.4 = 8*?[/tex]
divide by 8- [tex]758.4/8 = 94.8[/tex]
5-y=-3x in standard form
Answer:
y = 3x + 5
Step-by-step explanation:
The linear formula follows this general form: y = mx + c
Hence, to put 5-y=-3x in standard form, you would rearrange it
-y = -3x - 5
y = 3x + 5
Answer:
3x-y=-5
Step-by-step explanation:
standard form is Ax + By = C
5-y=-3x move the y to the other side by adding it to the -3x
-3x+y=5 The x cant be negative so switch all the signs
3x-y=-5
a shop is recording the queuing time of its customers and produces the cumulative frequency graph shown below.
a) how many customers queued for more than 20 minutes?
b) Find the median queuing time .
Answer:
11 customers
11 minutes
Step-by-step explanation:
Answer:
A) 11 Customers
B) 11 Minutes
Step-by-step explanation:
The amount of Social Security benefits received by an individual that he or she must include in gross income:
a. May not exceed the portion contributed by the employer.
b. May be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.
c. May not exceed 50% of the Social Security benefits received.
d. Is computed in the same manner as an annuity [exclusion = (cost/expected return) × amount received].
e. None of these choices are correct.
Answer:
b. May be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.
Step-by-step explanation:
Social security measures an organization to guarantee individuals against certain risks (social risks). Social security is made up of a set of institutions whose function is to protect individuals from the consequences of various events or situations, generally referred to as social risks.
Social Security is a public service of the State, ensuring all the social risks of workers, employees, liberal professions, self-employed, and non-salaried workers. Social Security provides the benefits provided by the Social Security Code. However, the amount of Social Security benefits received by an individual that they must include in gross income may be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.
Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable.
Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?
k – 2 = k minus 2 equals StartFraction 1 Over 9 left-parenthesis t minus 18 right-parenthesis.(t – 18)
k – 18 = k minus 18 equals StartFraction 1 Over 9 left-parenthesis t minus 2 right-parenthesis.(t – 2)
k – 2 = 9(t – 18)
k – 18 = 9(t – 2)
Answer:
4th option is coreect
Step-by-step explanation:
Answer:
4th answer is correct.!
Step-by-step explanation:
A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. What is the location of the submarine compared to sea level?
Rewrite this phrase using algebraic symbols eight times a number is decreased by 12
Answer:36
Step-by-step explanation:
which statement is true and represent the correct form of scientific notation
A. 5.3 x [tex]10^{-2}[/tex] = -0.053
B. 2 x [tex]10^{4}[/tex] < 20,000
C.-74.308 < -0.74 x [tex]10^{3}[/tex]
D. 12,000,000 = 1.2 x [tex]10^{7}[/tex]
Step-by-step explanation:
let express them in the same form
5.3*1/100=0.053>-0.053 so A is false
2*10^4=2*10000=20,000 is equal to 20,000 so even B is false
-0.74*10^3=-0.74*1000=-740<-74.308 so even C is false
lets see D
1.2*10^7=12*10^6=12*1000000=12,000,000 which is equal to 12,000,000 so D is true