Answer:
One solution
Step-by-step explanation:
First, organize the equations by moving y to the left hand side:
5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x
3y = 2x + 9 is already done
Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:
2y=6-5x multiply both sides by 3, 6y = 18-15x
3y=2x+9 multiply both sides by 2, 6y = 4x+18
Substitute y on both sides and we get 18-15x=4x+18
Simplify that and you get 19x=0, x equals 0, so there is one solution
Find the first three term if the general nth term is T = 2-n
Tn = 2n - 6
to find first term ,n= 1
substitute n for 1 in the equation
T1 = 2(1) - 6
T1 = 2 - 6 =-4
to find second term , n =2
substitute n for 2 in the equation
T2 = 2(2) - 6
T2 = 4 - 6 = -2
to find third term, n = 3
substitute n for 3 in the equation
T3 = 2(3) - 6
T3 = 6–6 = 0
FIRST TERM = -4
SECOND TERM = -2
THIRD TERM = 0
The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.
The slope of the line represents that the a distance of 55 miles is covered each hour
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance in miles covered in x hours.
Using points (2, 110) and (7, 385) from the table:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]
Therefore the slope of the line represents that the a distance of 55 miles is covered each hour
Find out more on linear equation at: https://brainly.com/question/14323743
There are 120 people at a party 1/3 of the people leave the party work out the number of people still at the party
Answer:
There is 80 people still at the party
Step-by-step explanation:
To find how many people are still at the party we first have to find how much 1/3 of 120 is.
∴120/3=40
then we subtract 1/3 of 120 from 120 to get the answer
∴120-40=80
Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.
Answer:
x + y = 15
0.5x + 0.65y = 9
Step-by-step explanation:
x = number of oranges
y = number of apples
total of apples and oranges is 15 so x + y = 15
total cost of apples and oranges is $9 so 0.5x + 0.65y = 9
Calculation
y = 15 - x
0.5x + 0.65(15-x) = 9
0.5x - 0.65x + 9.75 = 9
-0.15x = - 0.75
x = 5
y = 15 - x = 15 - 5 = 10
You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children, you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Answer:
adults 15 and children 9
Step-by-step explanation:
whats the slope of (-5,-11) and (-2, 1)
Answer:
4
Step-by-step explanation:
I need these answers for a worksheet I have and I would appreciate it if someone would help me out.
Question 1. You can combine like terms to ________ an expression.
Question 2. All ______ are like terms and can be combined.
Question 3. Terms with the same _____ are considered like terms.
Answer choices:
Constants
variables
simplify
Three years ago Atul's age was four times Parul's age. After 5 years from now, Atul's age will be two times Parul's age. Find their present ages.
Answer:
Parul's age=7 years
Atul's age=19 years
Step-by-step explanation:
Let present age of Parul be x
Let present age of Atul be y
3 years ago
Parul's age=x-3
Atul's age=y-3
5 years after
Parul's age=x+5
Atul's age=y+5
According to question
y-3=4(x-3)
y-3=4x-12
y-4x+9=0.....(1)
y+5=2(x+5)
y+5=2x+10
y-2x-5=0......(2)
from(1),y=4x-9
Put y in (2)
4x-9-2x-5=0
2x-14
2x=14
x=7
y=19
Parul's age=7 years
Atul's age=19 years
Mrs. Owens had to call the local plumber to install a hot water heater. the equation y= 50x+75 is the relationship between his hours worked (x) and the amount of the bill (y).A. How much money did the plumber charge for the service call? How can you tell from the equation?B. How much is the plumber charging per hour? How can you tell from the equation?
Answer:
A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.
B. He charges 50 dollars per hour because the slope of the equation is 50.
Step-by-step explanation:
Whats the answer to these questions?
Answer:
Answer is in the attached file.
There are 5 groups of 5 pencils. Which number sentence can you use to find how many pencils there are in all
Answer:
5x5= 25
Step-by-step explanation:
- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?
Answer:
8.95
Step-by-step explanation:
when you divide it 44.75 divided by 5 it willl appeer the price of only one
Answer:
$8.95
Step-by-step explanation:
44.75/5=8.95
sarah got a 80% on her pre algebra final exam. if there were 75 questions total how many did sarah get correc? How many did she get wrong? what percent did she get wrong?
HELP PLS
Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.
Step-by-step explanation:
First, let's solve for how many questions Sarah got correct.
80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:
[tex]\frac{8}{10}=\frac{?}{75}[/tex]
Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60
So, Sarah got 60 out of 75 questions correct.
To find how many she missed, we can simply subtract 60 from 75 to get 15.
So, Sarah got 15 out of 75 questions wrong.
Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.
15 ÷ 75 = 0.2
0.2 X 100 = 20
So, Sarah got 20% of the questions wrong.
Determine the period of the function y = -3cos(pi/5)x.
a. 3
b. 8
c. -3
d. 10
Answer:
Step-by-step explanation:
B
Answer:
10
Step-by-step explanation:
In what grade do you learn this math equation? You don't have to solve, I'm just wondering
13t+6=12t+21
Answer:
I think in grade 6th or 7th I star it learning those types of equations
What is the value of x?
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
[tex]4x + \frac{x}{2} + 2 + \frac{3x-4}{2} = 180[/tex]Now, let's simplify.
=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]
=> [tex]4x + 2 + 2x-2 = 180[/tex]
=> [tex]4x + 2x = 180[/tex]
=> [tex]6x = 180[/tex]
=> [tex]x = 30[/tex]
Therefore, Option D is correct.
Hoped this helped.
Pls answer these questions
Answer:
I believe the answers are
B) 1
D) $1,000
Step-by-step explanation:
Are the given lines parallel? How do you know?
Y=0, x=1
And
X=-2, x=5
Answer:
those aren't limes, they're points.
Step-by-step explanation:
yeah-ya.......... right?
help pleaseeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
if its not the same on both sides its not communitave. hope this helps
7. A computer shop sold $356,291 worth of computers. It
sold $43,720 worth of accessories. The shop wants to sell a
total of $400,000 worth of computers and accessories. How
much more money do they need to make?
Answer:
none. they have already sold exactly $400,000 worth of computers and accessories
-12 + 2a = -6(1 + a) + 8a
May I please receive help?
Answer:
4.8 feet
Step-by-step explanation:
a² + b² = c²
a² + 11² = 12²
a² + 121 = 144
a² = 23
a = [tex]\sqrt{23}[/tex]
a, or the height of the kite ≈ 4.8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the value of this expression? 4/15+3/5−2/3 Quick
Answer:
I think that would be 1/5
Explanation:
Hope this helps!
119/30
Simplified please help this is urgent
Please help me on question two
Answer:
The following are the answers of questions asked above :-
a) 40
b) 4
c) 4000
1. A hat store tracks the state of college and professional team hats for m, months. The number of
college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.
1) The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]
when [tex]m=10[/tex], [tex]15[/tex] more college hats were sold
2) The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below
3) The length of one side of the square scrapbooking page will be
[tex](2x+5)\text{ inches}[/tex]. The working is shown below.
1) According to the question, [tex]m[/tex] is the number of months hats were sold.
[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months
[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months
Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]
the expression representing how many more college hats were sold than professional hats is
[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]
when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and
[tex]m+5=(10)+5=15hats[/tex]
[tex]15[/tex] more college hats were sold in [tex]10[/tex] months
2) To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below
remove brackets
[tex]-12x+6-2x[/tex]
arrange like terms
[tex]-12x-2x+6[/tex]
simplify like terms
[tex]-14x+6[/tex]
The answer is (D)
3) Let the length of one side of the square be [tex]s[/tex]
The perimeter will be
[tex]4s=8x+20[/tex]
making [tex]s[/tex] the subject of the formula
[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]
Learn more about word problems here: https://brainly.com/question/17067890
1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?
Answer:
The expected value is -$126- you should not buy the warranty.
Step-by-step explanation:
You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.
E(x)= (2800-350)(.8)+(-350)(.92)= -126
Select the correct answer.
A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
52 lb
B.
180 lb
OC. 39 lb
OD. 193 lb
Answer:
193
Step-by-step explanation:
87 divided by .45
193.333333333
find area of parallelogram multiple choice
refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation
In ∆ABD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]
In ∆BCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]
Now
IN PARALLELOGRAM ABCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]
Option A
A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?
Answer:
105°
Step-by-step explanation:
A pentagon has a total of 540°
103 + 105 + 114 + 113 = 435
540 - 435 = 105
I hope this helps!