Answers
The reason is because it is corresponding angles
Related Questions
The Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
A) Write a system of inequalities to model this scenario, and graph the system.
B) What is the maximum number of people who could be in the group, and how much would it cost? Justify your answer
C) Suppose that only adults are going to go on the tour. How many can there be? Explain your answer.
Answers
Answer:
Well, 1000>(15x+t)+(50x+100t) if there are children aboard.
B. The maximum amount is 19 if one adult is going with 18 children (not including the meal plan). And the total would be $1000
C. If only adults are going then a total of 8 adults can go if they are planning to use the raffle ticket for the meal plan too. If not then the total is 10.
I hope this is right.
The system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
Assume that there are [x] children in the group and [y] adults. So, we can write -
x + y ≤ 8 ... Eq[1]
(250 + 100)y + (250 + 50)x + 15(x + y) ≤ 1000
350y + 300x + 15x + 15y ≤ 1000
375y + 315x ≤ 1000
5(75y + 63x) ≤ 1000
75y + 63x ≤ 200 ... Eq[2]
Refer tot the graph attached. The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
Therefore, the system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
To solve more questions on equations, expressions and polynomials, visit the link below -
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I’ll give you brainlest if you answer this! goes to the first person!
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Choose the odd one out. Give a reason for your answer. 75%. 3/4. 0.75. 7.5
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A submarine dives below the surface, heading downward in four moves. If each move downward was 200 feet, where is the submarine after it is finished diving?
Answers
Answer:
800 feet, if you do 200x4 you you would get 800 feet
Step-by-step explanation:
200x4
Freddy is buying wings and nachos for a party. A box of 10 wings cost $10.00. Nachos cost $4.00 per tray. He must spend less that $40.00 on the wings and nachos.
Using x to represent each box of wings and y to represent each tray of nachos, create an inequality that correctly represents the possible number of boxes of wings and trays of nachos Freddy can be and still be within his budget.
Answers
Answer:
10x + 4y < 40
Step-by-step explanation:
The creation of an inequality is as follows"
The cost of the 10 wings box = $10
The cost of nachos = $4 per tray
And, the amount that can be incurred less is $40
Based on the information,
The equation would be
10x + 4y < 40
Hence, the inequality equation is 10x + 4y<40
Sangeet got 96% of his answers right in a test of 50 marks. What was his score out of 50?
Answers
Answer:
48/50
Step-by-step explanation:
So find 96 percent of 50
Now divide it
48/50
You dont gotta divide, leave it as fraction
Can someone help me answer these?? Pls I need this by tomorrow
Answers
Answer:
7/8= 0.875
7/20= 0.35
18/20= 0.9
7/8= 0.875
68/50= 1.36
25/20= 1.25
26/25= 1.04
11/10= 1.10
11/16= 0.6875
9/16= 0.5625
33/40= 0.825
23/40= 0.575
14/10= 1.4
29/25= 1.16
39/40= 0.975
Step-by-step explanation:
Answer:
.875, .35, .9, .875, 1.36, 1.25, 1.04, 1.1, .6875, .4375, .825, .575, 1.4, 1.16, .975
Step-by-step explanation:
Divide the nymeratir by the denominator- n÷ d= x
btw I did each rown going down
Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.
Answers
Answer:
x = -30
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
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
Step 2: Solve for x
Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms: -0.1x + 2 = 0.2x + 11Add 0.1x on both sides: 2 = 0.3x + 11Isolate x term: -9 = 0.3xIsolate x: -30 = xRewrite: x = -30Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2Multiply: -22 + 27 = -7.2 + 12.2Add: 5 = 5Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
find the value of x log2x-log(x-3)=1
Answers
Answer:
15/4
Step-by-step explanation:
Answer:
15/4
Step-by-step explanation:
log2x-log(x-3)=1
log(2x/x-3)=1
2x/x-3=10¹
2x/x-3=10
2x=10x-30
10x-2x=30
8x=30
x=30/8
x=15/4
2.75 + negative 1.5
Answers
Answer:
1.25
Step-by-step explanation:
type in your calculator:
-1.5+2.75 OR 2.75-1.5
you should get the same answer
Answer:
1.25(my last answer was deleted somehow)
Step-by-step explanation:
2.75-1.5=1.25
A total of 715 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more student tickets sold than adult tickets.
Answers
Answer:
There were 423 adult tickets sold.
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 65 = the number of student tickets sold
x + x + 65 = 715
2x = 715
x = 357.5
x + 65 = 422.5 (round up)
Answer:
adults=325& students=390
Step-by-step explanation:
let me the tickets for adults be x
for students will be x+65
x+x+65=715
2x+65=715
2x=715-65
2x=650
x=650÷2
x=325
Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;
Answers
Answer: kg
Step-by-step explanation:
Question in the photo
Need an answer asap!
Answers
Answer:
25 = y
Step-by-step explanation:
We know that x = 4/5 y
20 = 4/5 y
Multiply each side by 5/4
5/4 * 20 = 5/4 * 4/5 y
25 = y
(y-4)6
help please....
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6(y) =6y
4(6)= 24
Help pls, almost out of time
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Answer:
angle 1
Step-by-step explanation:
it looks the biggest of all
I need help for this question ASAP
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Formula is a^2+b^2=c^2 so
x^2+(15)^2=(17)^2
x^2+225=289
x^2=64
x=8
We know x is 8 so add them all together
8+15+17=40
perimeter=40
B right or am i wrong ?
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Help will give crown
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G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
9th grade please help
Answers
Answer:
D.) This system has infinitely many solutions
Step-by-step explanation:
y = -4x - 6
-4x - y - 6 = 0
-4x - y - 6 = 0
-y = 4x + 6
-y/-1 = 4x/-1 + 6/-1
y = -4x - 6
There are infinitely many solutions, because both of the lines are exactly the same. As show below ! Hope this helps once again ^w^
What is the coefficient of the variable in the expression 6 − 4x − 8 + 2? (3 points)
Group of answer choices
A. 6
B. 2
C. −4
D. −8
Answers
Answer:
I thik the answer is B.
Step-by-step explanation:
hope this helps
Answer:
c -4
I did the math
In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}
MN
and RR is a midpoint of \overline{NP}
NP
. If QR=11-xQR=11−x, and MP=57-7xMP=57−7x, what is the measure of MPMP?
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Answer:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theore
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Tyler converted 0.0000783 to scientific notation.
0.0000783 = 78.3 x 10-6
is he correct?
Answers
Let's convert your number to scientific notation.
0.0000783
Move the decimal point 5 places to the right.
7.83*10−5
Answer:
7.83 * [tex]10^{5}[/tex]
Answer: No , the coefficient should be 7.83
Step-by-step explanation:
The price of an Item yesterday was $160. Today, the price rose to $248. Find the percent increase.
Answers
Answer:
jguifutrdduturdrfuy
Step-by-step explanation:
Refer to the circles to complete the following item.
Does AI = LD?
yes
no
Answers
Answer:
i believe it’s no. sorry if i’m wrong!
Step-by-step explanation:
it pretty specifically says that AI is 2” while LD is 3”
pretty sure this makes them unequal.
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Answers
Step-by-step explanation:
1st digit : 1 / 2 / 4 / 5
4th digit : 0 / 2 / 4 / 6 / 8
Total number of sets = 4 * 10 * 10 * 5 = 2000.
can someone please help me answer this? im struggling!! i will mark brainliest and rate 5 stars!!
Answers
Answer:
3.5 scale factor
Step-by-step explanation:
if you multiply any number from triangle RST by 3 you get they answer of the other triangle.
i do not undersatand
Answers
Answer:
me either
Step-by-step explanation:
Answer:
(-2x4)=-8
this is what could be made from the model.
What is the solution set to this inequality?
x? - 12x+ 273-8
a
{x|x 3 or x 9)
{x|5SXS7)
{x|x S5 orx27)
{x|3 SXS9)
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steve runs a car wash and detail shop. he determines that 50% of customers get their car washed and vacuumed, while 72% get their car washed. what is the probability that a customer will get their car vacuumed given that they are getting it washed? (in decimal form rounded to nearest thousandths)
Answers
Answer:
The probability is 0.694
Step-by-step explanation:
Let the probability of getting a car washed be
P(W) = 72% = 0.72
Let the probability of getting a car vacuumed be
P(V) = ?
Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5
From Bayes’ theorem
P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed
So mathematically;
P(V|W) = P(V n W)/P(W)
= 0.5/0.72 = 0.694
what is the slope of a line parallel to each given line y = 4x - 5
Answers
Answer:
20???
Step-by-step explanation:
Answer:
4x
Step-by-step explanation: