Answer:
4 visits.
Step-by-step explanation:
First make an equation to represent the cost of the museum stuff using the formula y=mx+b
y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)
Now we need to figure out how many visits a bill of $31 would represent.
We plug in 31 for y because y represents the total cost.
31=5x+11
Now solve for x.
Subtract 11 from both sides: 20=5x
Divide each side by 5: 4=x
Since x=4, it means that a bill of $31 would represent four visits.
Answer:
The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.
Step-by-step explanation:
Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.
$31 - $11 = $20
Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.
$20 / $5 = 4
So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.
2x - 3y --24
x + 6y = 18
Substitution
Answer:
y=12
x=30
Step-by-step explanation:
2x-3y=24 ... 1
x+6y=18 ... 2
2*2:
2x+12y=36...3
3-1:
y=12
x=30
When the following system of equations 2x - 3y = -24 and x + 6y = 18 are solved, the value of x and y is found to be -6 and -4 respectively.
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Given the system of equations:
2x - 3y = -24 (equation1)
x + 6y = 18 (equation2)
From equation 2,
x = 18 - 6y
Now, substitute this expression for x in equation (1):
2(18 - 6y) - 3y = -24
36 - 12y - 3y = -24
36 - 15y = -24
-15y = -60
y = [tex]\frac{(-60)}{(-15)}[/tex]
y = 4.
Now substitute it back into equation (2) to solve for x:
x + 6(4) = 18
x + 24 = 18
x = 18 - 24
x = -6
Therefore, the solution to the system of equations is x = -6 and y = 4.
Learn more about equations here:
https://brainly.com/question/28953876
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Orianna had 10 tiles to arrange in a rectangular design. She drew a model of the rectangles she could make with the 10 tiles. Ask Your Teacher
What can Orianna conclude about the number 10 from her model?
Fred's garage has a leaky roof. There are 36 holes in the roof. If it costs $67
to fix each hole, how much will it cost to fix all of the holes?
A. Divide 67 by 36
B. Subtract 36 from 67
C. Add 67 to 36
D. Multiply 36 by 67
Members of a lacrosse team raised $1352.50 to go to a tournament. They rented a bus for $802.50 and budgeted $25 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.
Answer: 22
Step-by-step explanation:
From the question the, we are informed that members of a lacrosse team raised $1352.50 to go to a tournament and that they rented a bus for $802.50 and budgeted $25 per player for meals.
The equation which can be used to determine p, the number of players the team can bring to the tournament would be calculated as:
802.50 + 25p = 1352.50
25p = 1352.50 - 802.50
25p = 550
p = 550/25
p = 22
They can bring 22 players to the tournament
Answer:22
Step-by-step explanation:
What is the slope of the equation: x + 2y = 6
$0.35 is what percent of a dollar?
Brian invests £4700 into his bank account.
He receives 5.5% per year compound interest.
How much will Brian have after 3 years?
Answer:
5,548.9861375
Step-by-step explanation:
First year
4700/100×5.5=258.5
So his account will be 4700+285.5=4985.5
Second year
4985.5/100×5.5=274.2025
His account will be 4985.5+274.2025=5,259.7025
Third year
5,259.7025/100×5.5=289.2836375
The total in his account after three years equal to
289.2836375+5259.7025=5,548.9861375
Find the distance between −8 and 9 on a number line. _____ unit(s)
I’ll give brainliest plz quick
Give an example of a relation in real life, and
explain why it’s a function.
Answer:
Step-by-step explanation:
Relation: math homework
Function: you're doing it
Put the following numbers in order from least to greatest:
10, -10, -7, 5, -3, 0, 2, -1, -2, -23, 23, 2, 15, 3, - 15
Answer:
-23, -15, -10, -7, -3, -2, -1, 0, 2, 2, 3, 5, 10, 15, 23
Step-by-step explanation:
:)
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that there is no oil?
A.
0.09
B.
0.11
C.
0.44
D.
0.36
Answer:
c
Step-by-step explanation:
i dont know if its c
20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip, Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week.
How much does Lennox get for a single kilogram of apples?
____________dollars per kilogram
Answer:
$0.50 per kilogram
Step-by-step explanation:
($300/trip)/(50 packs/trip) = $6/pack
($6/pack)/(12 kilograms/pack) = $0.50/kilogram
When factoring it is not necessary to find a greatest common factor first.
Group of answer choices
True
False
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?
Answer:
16 students are girls.
Step-by-step explanation:
5:4=36
5x+4x=36
9x=36
x=4.
So we can multiply the ratio by 4.
4(5+4)
20+16.
Since girls is 4, there are 16 girls.
Hope this helps plz hit the crown :D
Answer:
let ratio of boys and girl be 5x and 4x
now
5x+4x=36
9x=36
x=36÷9
x=4
now
number of boys in class is 5x=5*4=20
Number of girls in class is= 4x
=4*4
=16 ans
help me simplify this question
5p-3-(1+p)+(2p)
Answer:
This is the answer. All the very best
Jon earns $4 for delivering groceries and $2 for each delivery he makes.
How much money will he earn if he delivers to five houses?
Answer:
$14
Step-by-step explanation:
ok so since he is delivering groceries he gets $4.
now when he delivers he get $2 more, so for each house he delivers to he adds $2 to that $4.
so the easiest was to do this is 5x2.
5x2 is 10.
now $10 is how much more he gets on top of the $4, so now we need to add the $4 to the $10.
your answer is $14
plz mark brainliest!
what is the volume of the cone to the nearest cubic centimeter?
Answer:
301.44
Step-by-step explanation:
(2, 4) and (5,2).
Find the slope :)
Answer: The answer is [tex]\frac{-2}{3}[/tex]
Step-by-step explanation: (2,4) and (5,2)
M=y2-y1
x2-x1
2-4=-2
5-2=3
M=[tex]\frac{-2}{3}[/tex]
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers. Which sets of numbers contain whole numbers? Check all that apply. Negative 2 and StartFraction 5 Over 6 EndFraction, negative 54, negative 4, negative 57 Negative 89, 79, StartFraction 6 Over 9 EndFraction, negative 19 Two-thirds, StartFraction 2 Over 4 EndFraction, 0, StartFraction 2 Over 7 EndFraction Negative 3, negative 2, negative 7, negative 8 StartFraction 1 Over 8 EndFraction, Negative StartFraction 4 Over 8 EndFraction, 1 and StartFraction 3 Over 8 EndFraction, negative StartFraction 7 Over 8 EndFraction
Answer:
Sets B and C contain whole numbersStep-by-step explanation:
Whole numbers include zero and all positive integers
Looking at the sets below, we can see that:
A. Negative 2 and StartFraction 5 Over 6 EndFraction, negative 54, negative 4, negative 57
No whole numbers, all negatives or fractionsB. Negative 89, 79, StartFraction 6 Over 9 EndFraction, negative 19
79 is a whole number, the rest are fractions and negativesC. Two-thirds, StartFraction 2 Over 4 EndFraction, 0, StartFraction 2 Over 7 EndFraction
0 is a whole number, the rest are fractionsD. Negative 3, negative 2, negative 7, negative 8
No whole numbers, all negative integersE. StartFraction 1 Over 8 EndFraction, Negative StartFraction 4 Over 8 EndFraction, 1 and StartFraction 3 Over 8 EndFraction, negative StartFraction 7 Over 8 EndFraction
No whole numbers, all fractionsSets B and C contain whole numbers
how to get 98 % marks in maths subject ??
Answer:
By practice , and hard word
Describe this number line and the numbers and fractions shown.
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.
Answer:
Please check the number line attached below.
Step-by-step explanation:
Please check the attached graph below.
The line graph is representing that a number line:
Going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.From the graph, it is clear that the point 0 is taken as arbitrary. The left side number units from 0 represent the negative values and the right-sided number units from 0 represent the positive values.
When we move on the right side from the 0, the numbers increase and when you move on the right side from the 0, the number decreases.
Answer:
The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.
Step-by-step explanation:purrr
(HELP URGENT TWO VARIABLE INEQUALITIES)
(SEE ATTACHED PICTURE)
Which of the following inequalities matches the graph?
A) The correct inequality is not listed.
B) 5x + y ≥ 1
C) 5x + y ≤ 1
D) 5x − y ≥ 1
Answer:
D)
Step-by-step explanation:
Line: y = 5x - 1
The shaded space is less than or equal to the line.
So it is y [tex]\leq[/tex] 5x - 1
This is the same as D)
NEED ASAP PLESDE through (-2,7) perpendicular to 5y+x=20
(Show in point slope form and slope/intercept form )
Answer:
y = 5x + 16
Step-by-step explanation:
5y + x = 20
5y = -x + 20
y = [tex]-\frac{1}{5}[/tex]x + 20
Points: (-2, 7)
Slope (m⊥): = 5
y = 5x + b
7 = 5 ( -2 ) + b
6 = -10 + b
b = 16
y = 5x + 16
Write the equation, 3x+7=2(3-y) in function form.
Answer:
The function of the equation is f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
Step-by-step explanation:
The function form of the linear equation is f(x) = m x + b, where
m is the slope of the line represents the graph of the functionb is the y-intercept∵ The equation is 3x + 7 = 2(3 - y)
→ Simplify the right side by multiplying the bracket by 2
∵ 3x + 7 = 2(3) - 2(y)
∴ 3x + 7 = 6 - 2y
→ Add 2y for both sides
∵ 2y + 3x + 7 = 6 - 2y + 2y
∴ 2y + 3x + 7 = 6
→ Subtract 7 from both sides
∵ 2y + 3x + 7 - 7 = 6 - 7
∴ 2y + 3x = -1
→ Subtract 3x from both sides
∵ 2y + 3x - 3x = -1 - 3x
∴ 2y = -1 - 3x
→ Divide each term by 2
∴ y = [tex]-\frac{1}{2}[/tex] - [tex]\frac{3}{2}[/tex] x
→ Replace y by f(x)
∴ f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
∴ The function of the equation is f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.
−4.5, −3, −1.5, 0, ...
Answer: it is
Step-by-step explanation: the next numbers are 1.5, 3, 4.5.
(PLEASE HELP)An elevator car in a skyscraper can hold at most 15 people. For safety reasons, each car can carry a
maximum of 1,500kg. On average, an adult weighs 70kg and a child weighs 25 kg. Assume that each
person carries 4kg of gear with them.
Answer:
[tex]70x + 25y + 4x + 4y \leqslant 1500 [/tex]
where x = number of adults
y = number of children
and the extra weights of 4kg of each person.
Six times a number x is at least −24.
Answer:
dhdhdgfhhdhdhfhfhhfhfhdhd
Complete the description of the slope of the line that joins the points
positive
negative
0
undefined
Answer:
The slope of the line that joins the points is negative.
i.e m = -6/5
Step-by-step explanation:
Taking two points from the graph to determine the slope
(-3, 4)(2, -2)Finding the slope between (-3, 4),(2, -2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]'
[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)[/tex]
[tex]m=\frac{-2-4}{2-\left(-3\right)}[/tex]
[tex]m=-\frac{6}{5}[/tex]
Therefore, the slope of the line that joins the points is negative.
i.e m = -6/5
Write a function g whose graph represents the indicated transformation of the graph of F. Let g be a translation 4 units down and a horizontal shrink by a factor of of the graph of f(x) = x.
Answer:
g(x) = 6x+4
Step-by-step explanation:
The given function f(x)=x
Let p(x) be an intermediate function after translation of f(x).
So, after the translation 4 unit down, the new function
p(x) = f(x) - 4
p(x) = x-4
Now, there is a horizontal shrink by a factor of 6, so the required function g(x) is
g(x) = p(6x) [here 6 is the horizontal shrink factor]
g(x) = 6x-4
Hence, the required function is g(x) = 6x+4