Considering the definition of an equation and the way to solve it, Matthew would need to invite 80 people.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Number of invitesBeing "x" the number of invites, and knowing that:
Restaurant A charges $250 to reserve the room and $15 per person to eat. → Cost restaurant A= 250 + 15xRestaurant B charges $370 to rent the room and $13.50 for each person to eat. → Cost restaurant B= 370 + 13.50xIf cost at either restaurant is the same, the equation in this case is:
Cost restaurant A= Cost restaurant B
250 + 15x= 370 + 13.50x
Solving:
15x + 13.50x= 370 - 250
1.50x= 120
x= 120 ÷ 1.50
x=80
Finally, Matthew would need to invite 80 people.
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Which fraction can be a terminating decimal? 2/9, 1/3, 1/7, 7/8
Answer:
Hi! I think the answer is 7/8.
Step-by-step explanation:
divide 7 by 8 longhand. I can't duplicate this but the answer is 875. It does not repeat it terminates. Hope this makes sense! Happy Holidays! (and hope this is correct.)
Find the equation of the line.
y=__x+__
Answer:
y=4x-9
Step-by-step explanation:
The equation of a line is typically written in slope-intercept form, which is y=mx+b. Here's what the variables mean:
y=the y-coordinate
m=the slope
x=the x-coordinate
b=the y-intercept (the point on the line that intercepts the y-axis)
The only values that we have to calculate to find the equation are the slope of the line and the y-intercept. Let's start off by finding the slope.
To find the slope of a line, we would need to find 2 points that fall on the line, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] and plug them into the expression [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's use the points (1, -5) and (3, 3).
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{3-(-5)}{3-1}[/tex]
[tex]=\frac{3+5}{3-1}\\= \frac{8}{2}\\= 4[/tex]
Therefore, the slope of the line is 4.
To find the y-intercept, all we need to do is look at which point the line crosses the y-axis, and that point is -9.
Finally, we plug the slope and the y-axis into the equation y=mx+b as m and b.
y=mx+b
y=4x-9
I hope this helps!
What is the value of the function for x = 2?
Answer:
To make this easier, first draw or imagine a vertical line at x=2Find where the vertical line and the graph intersects.Draw or imagine that point
please help I need to get school work done before 3
Will give brainliest Please help!!
The teacher has the following cards in a bag::
what is the probability that the teacher randomly selects a card with an 8 on it?
Answer:
20% or .20
Step-by-step explanation:
There are a total of 10 cards in the sample.
Of these 10 cards there are 2 of them with the number 8 on them.
To find the probability, you divide the part (2) over the whole (10)
2/10 = .20
Then you can multiply by 100 to find the percent
(.20)(100) = 20%
Therefore, if the teacher were to select a card at random there is a 20% chance that it has the number 8 on it.
I hope this helps!
- Kay :)
Graph a line that contains the point (6,-4)and has a slope of -2/3
Answer:
Graph (6,-5) then graph (3,-3)
Step-by-step explanation:
Picture is help
If you anwser CORRECTLY you will be brainlest thanked and 5 starred if it is wrong you will be giving a warning and reported with a 1 star. Get it correct!
Answer:
um what is the question?
What is the slope of the line that passes through the points (-5, -7) and (4,-1)?
Write your answer in simplest form
Answer:
2/3
Step-by-step explanation:
-7 - -1 = -6
-5 - 4 = -9
-6/-9= 2/3
Answer:
[tex]m=\frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, -7)
Point (4, -1)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{-1+7}{4+5}[/tex]Add: [tex]m=\frac{6}{9}[/tex]Simplify: [tex]m=\frac{2}{3}[/tex]Order from least to greatest, (15 points) and brainy award.
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
answer fast and correctly for brainliest
Answer:
60 years
Step-by-step explanation:
Ms portillo cat weighs 6 kilograms her dog ways 22 more killergrams how much does the dog way
Answer:
28 kilograms
Step-by-step explanation:
All you have to do is 22+6
How long will it take for a debt to double at 42% p.a. compound interest?
According to the given statement ,
a debt to double at 42% p.a. compound interest will take approx 2 years.
What is compound interest ?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Compound interest is calculated on the initial principal of a deposit or loan, which also takes into account all of the accumulated interest from prior periods.
The yearly interest rate is raised to the number of compound periods minus one, and the starting principal amount is multiplied by both of these factors.
According to the given data,
Let principal = P
Time = t
Rate == 42%
Amount = A
Given Condition is A = 2P
=> P[1+ r/100]ⁿ = 2P
=> P [1 + 42/100 ]ⁿ = 2P
=> (1.42)ⁿ=2
n= log₁.₄₂ 2 =0.301/0.152
n=1.980≅2
Hence , the time it take for a debt to double at 42% p.a. compound interest is approx 2 years.
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Randy chose B as the correct answer.How did he get that answer?
is there a way to block people on here cause this guy is stalking my account stealing all my points from every question I posted
a rectangular window frame has demotions expressed by 3x and (2x -5). find a simplified expression for its perimeter and determine the actual perimeter if x equals 3meteres
Answer: Simplified Equation (10x-10)
Answer if 3=x is 20
Step-by-step explanation:
the original side lengths are 3x and (2x-5) so multiply both those by 2.
Now you have 6x and 4x-10.
Now combine those and you have 10x-10.
Then plug in 3 for x
which set of ordered pairs represents y as a function of x ?
Answer:
the second option is a function
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
- 4/7 v = -8 2/3 solve
8x10^3 is how many times as large as 4x10^2
Answer:
(3.2 × 10²) times as large
Step-by-step explanation:
First, set up an equation:
(8 × 10³) ÷ (4 × 10²)
Using the laws of exponents, we know that when two exponents with the same base are being divided by each other, the exponents subtract from each other:
(8 × 4) × (10³⁻²) = (32 × 10¹)
Move the decimal one space to the left, which increases the exponent by 1:
(3.2 × 10²)
Hope this helps!
an ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. this sum is recorded as the outcome of a single trial of a random experiment. compute the probability of each of the following events. event : the sum is greater than 5. event : the sum is divisible by 2 or 3 (or both).
Probability of sum greater than 5 event is reduces to 13/18 .
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
probability of getting number whose sum is divisible by 2 and 3 both is 6/36 which reduces to 1/6 .
The sample space of rolling two dice has 36 possible outcomes. Remember that the "sample space" is a set which contains all possible outcomes. (1,1)(2,1)(3,1)(4,1)(5,1)(6,1)(1,2)(2,2)(3,2)(4,2)(5,2)(6,2)(1,3)(2,3)(3,3)(4,3)(5,3)(6,3)(1,4)(2,4)(3,4)(4,4)(5,4)(6,4)(1,5)(2,5)(3,5)(4,5)(5,5)(6,5)(1,6)(2,6)(3,6)(4,6)(5,6)(6,6)
The probability of the sum is greater than 5 event is 26/36 which reduces to 13/18 .And the probability of getting number whose sum is divisible by 2 and 3 both is 6/36.
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Which expression is equivalent to x^2-17 x-60?
Answer: (x+3) (x-20)
Step-by-step explanation:
slope of (-2,-5) (-1,-6)
Answer:
your slope will be -1
Step-by-step explanation:
if you do y-y and x-x you then divide those answers and you will end up with m=-1
9.42 in word form i need it ples
Answer:
nine point four two
Step-by-step explanation:
have a nice day
Answer:
nine and forty-two hundredths
Step-by-step explanation:
4x + 3z for x=7 and z=2
Answer:
34
Step-by-step explanation:
plug 7 into 4x
plug 2 into 3z
do the math so...
4 X 7 =28
2 X 3 = 6
add 28 + 6 = 34
Write an equation for the line in slope-intercept form.
please help fast
Answer:
y =3x+4
Step-by-step explanation:
what does the ordered pair (6,204) represent
Answer:
I can answer the question, but represent in what? Do u got a picture or example or sum?
PLZ ANSWER AS SOON AS POSSIBLE!!
A lampshade needs to be rotated 75 degrees to fit snugly on its base. It has been rotated 40 degrees as shown.
How many more degrees does the lampshade need to be rotated?
find the first and second differences of y values to determine if the table will derive to a quadratic function
Answer:
Step-by-step explanation:
Term Definition
Linear regression line The line that goes through a set of points either exactly or approximately.
Difference The result of a subtraction operation is called a difference.
Is Figure A’B’C’D a reflection of figure ABCD ? A: yes it is a reflection over the x-axis. B: yes it is a reflection over the y-axis. C: yes it is a reflection over line f. D: no it is not a reflection
A’B’C’D' will be a reflection of figure ABCD about line f
what is a reflection about a line?A reflection over a line l(notation l) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side of the line.
reflection of point D will be D' if the distance between point D and line f is the same as the distance between point D' and line f
let us consider point (10,0) on line f for our convenience. we will calculate each distance from this point (10,0)
distance is 2 units from both the points D and D'
reflection of point C will be C' if the distance between point C and line f is the same as the distance between point C' and line f
distance of point C from line f= distance of point C' from line f
[tex]\sqrt{(14-10)^2 + (-2-0)^2} = \sqrt{(10-8)^2+ (4-0)^2} =\sqrt{20}[/tex]
similarly, point A and B will also be equidistant from line f
therefore, A’B’C’D' will be a reflection of figure ABCD about line f.
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my dinner table is 3m long and 1.5m wide. i want to put festive ribbon all around the outside. what length of ribbon should i buy in metres
Select Is a Function or is not a Function to correctly,classify each relation
Title
Is a Function
Is not a Function
{(3, 7),(3, 6), (5, 4),(4,7)}
{(1,5),(3,5),(4, 6),(6,4)}
{(2, 3),(4,2),(4, 6),(5, 8)}
{(0,4),(3, 2),(4, 2), (6,5)}
Answer:
1) not a function
2)function
3)not a function
4)function