Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6n + 7 = 55
Step 2: Solve for n
Subtract 7 on both sides: 6n = 48Divide 6 on both sides: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 6(8) + 7 = 55Multiply: 48 + 7 = 55Add: 55 = 55Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
Answer:
n =8 I hope this helped
Solution:
6n +7-7=55-7
I hope this helped
Find the slope of the line.
Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn? Write an equation and solve
Music us enjoy to --- and said aaaa
Pwease help its just easy math
Answer:
its divided into sixths
Find the gradient of the line segment between the points (5,-2) and (3,-8).
Answer:
3
Step-by-step explanation:
The gradient of the line can be calculated using the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-8-(-2)}{3-5}[/tex]
= [tex]\frac{-8+2}{3-5}[/tex]
= [tex]\frac{-6}{-2}[/tex]
= 3
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
graph the following equation using the slope intercept method
3x+5y=-15
Answer:
Step-by-step explanation:
What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.
Answer:
50.265m^3
Step-by-step explanation:
because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d
What is the slope of a line parallel to the line whose equation is 6x+9y=216. Fully reduce your answer.
Answer:
Solve the equation so it is in the y=mx+b form.
Step 1. 6x+9y = 216
Step 2. 9y = -6x+216
Step 3. y = -6/9x+24
Step 4. Simplify/Reduce to get y = -2/3x+24
Since it is Parallel then the slope is the same so the slope is -2/3x.
Step-by-step explanation:
What is the new position of the drone relative to the top of the building?
Answer:
The new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Step-by-step explanation:
Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.
As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].
Thus, the new position becomes
[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-\frac{943}{8}[/tex]
The LCM of 4,8: 8
Adjusting fractions based on LCM
[tex]=\frac{606}{8}-\frac{943}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{606-943}{8}[/tex]
[tex]=-\frac{337}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-42\frac{1}{8}[/tex]
THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:
As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.
i.e
[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]
The LCM of 8, 2: 8
Adjusting fractions based on LCM
[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{-337+236}{8}[/tex]
[tex]=-\frac{101}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-12\frac{5}{8}[/tex]
Therefore, the new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Determine the type of triangle that is drawn below.
Answer:
it is an isosceles triangle
Step-by-step explanation:
the two sides of the triangle are equal in length, also the angles opposite to the equal sides are equal. so, it is called as isosceles traingle
Please answer ASAP!!!
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
John is selling sets of Legos and makes a 10% commission on all sales. what would his
commission be on the sale of a $3750 set of Legos?
Commission would be $
Answer: The commision would be $ 375
Step-by-step explanation:
Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?
Answer:
he earned 8 dollars in interest
Step-by-step explanation:
800(1+(.02)(.5))
hopefully im correct
Do Recommendations Seventh grade > S Solve for d. 3 + 2d = 5
what is a better deal
$23 for 10 lb or $32.05 for 15 lb
Helppppppppppppppppp
Answer:
if it's asking for the like point it would be (3,3)
Step-by-step explanation:
i apologize if that's not what it is asking for
If DF=61 and EF=18, find DE.
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. How many people could be transported to the lake house if the students rented 5 small cars and 8 large cars? How many people could be transported to the lake house if the students rented ss small cars and ll large cars?
what is a linear equation that contains these points?
Answer:
C
Step-by-step explanation:
If you plug in the numbers into that equation you get
1 = -2(2) + 5
1 = -4 + 5
1 = 1
You can also do this again with x = 5 y = -5
-5 = -2(5) + 5
-5 = -10 + 5
-5 = -5
match the expression to it simplified form
Answer:
I'd love to help but it seems you have not added an attachment or maybe the rest of the question..
Step-by-step explanation:
Can anyone help me ill give brainliest
Answer:
Answer the first choice.
Step-by-step explanation:
Given
Points (-2,6) and (0,2)
y2 = 6
y1 = 2
x2 = - 2
x1 =0
m = (y2 - y1)/(x2 -x1)
Solution
m = (6 - 2)/(-2 - 0)
m = 4 / - 2 <<<< ===== Answer..
m = - 2
Remark
If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.
i need some help I really don't know how to start
Answer:
14
Step-by-step explanation:
these are similar triangles.
4*y = 7 (one side times cooficient is the side in the other triangle), cooficient (y) = 7/4
8 * 7/4 = solution
= 14
What is the least common multiple of the two denominators?
6/8 and 4/32
-8
-32
-12
-18
Answer:
32
Step-by-step explanation:
32 × 1 = 32
8 × 4 = 32
Therefore, the LCM is 32
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.
Please help me with 7
Answer:
Third choice, 7/25
Step-by-step explanation:
14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this
14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25
At a grocery store to gallons of milk cost $7.20 and 5 gallons of milk cost $18 write an equation relates the total cost T to the gallons of milk purchased M
Answer:
$7.20 + (5 x $18) = T
Step-by-step explanation:
Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.
Answer:
(X, y) =(3,-3)
Step-by-step explanation:
Use second equation
Apply to the first