Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
mr cadwell wants to purchase a motorcycle. he has financing options a and b to chose from, as shown below.
Option A-
Down Payment: $1,000
Monthly payment for 3 years: $85
Option B-
Down payment: $1,200
Monthly Payment for 3 years: $85
The purchase of the motorcycle is $3,500, including tax. Based on the info provided in the table, which statement is true?
Option B is better
Option A is better
Answer:
Option A is better.
Step-by-step explanation:
We will observe both plans one by one to determine which one is better i.e. which one will has less interest to pay.
So,
Option A:
Down Payment: $1,000
Monthly payment for 3 years: $85
The total amount in installments will be:
[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]
The total price of bike will be:
[tex]Total\ price = Downpayment +Installments\\= 1000+3060\\= 4060\\Interest = Total\ price - Purchase \\= 4060-3500\\=560[/tex]
Option B:
Down Payment: $1,200
Monthly payment for 3 years: $85
The total amount in installments will be:
[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]
The total price of bike will be:
[tex]Total\ price = Downpayment +Installments\\= 1200+3060\\= 4260\\Interest = Total\ price - Purchase \\= 4260-3500\\=760[/tex]
We can see that interest in Option A is less than interest in Option B that means Mr. Cardwell will have to pay less amount in Option A.
Hence,
Option A is better.
Pls help me
-18x + 30 = -150
Answer:
x=10
Step-by-step explanation:
-18x + 30 = -150
subtract 30 from both sides = -18x=-180
divide both sides by -18 = x=10
x=10
Heeeeellllllllllllpppppppppp
What is the constant of proportionality?
Answer:
4 dollars per week
Step-by-step explanation:
2 part question!
122.53 rounded to the nearest whole number.
18.59 rounded to the nearest whole number.
Answer:
1.) 123 2.) 19
Step-by-step explanation:
Both of these numbers would round up since 5+ makes the number before itself add 1.
ROUNDING
=================================================================
There are two rules for rounding:
1. If the number you're rounding is followed by a digit from 0 to 4 drop it
2. If it's followed by a digit from 5 to 9 add 1
Let's see them in action!
1: 122.53 ==> 122.5 ==>123
2: 18.59 ==> 18.6 ==> 19
Learn more;work harder
#Carryonlearning
==============================================================
PLEASE HELP I WILL GIVE YOU BRAINLEST!!!!!!!!!!!!!!
Answer:
the answer is 45 because 55+45=100
Step-by-step explanation:
brainliest pls
Answer:
he scored 45 points in the 3rd. for the second part i dont know how to do
slope if (5,6) and (-7,5)
hi
you have twi points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
so : ( 5-6 ) /( -7- 5) = -1 /-12 = 1/12
Find the slope of the line that contains the ordered pairs. a. (4, 2) and (7, 6.5) b. (10, 8) and (-5, 8) c. (1, -3/4) and (4, -3) d. (18, -7) and (18, 2)
Answer:
What line? S...... Sss
Answer to this :0000 thanks!
Answer:
B
Step-by-step explanation:
have a nice day :)
A number increased by 15 is greater than 124. find the smallest integer that satisfies the inequality,
Answer:
This description translated into an inequality is
x + 15 > 124
x > 109
X is greater than 109
This means that the smallest integer that satisfies this inequality is 110 because X cannot be 109 or less; it is greater than 109.
We did not say 109.1 or 109.2 or 109.99 because it is asking for an integer, which cannot be a decimal.
Answer is 110
GUYS ANSWER THIS QUESTION PLEASE IM LITERALLY TIMED IM BEGGING SOMEONE PLEASE PLEASE
Answer:
bruhhhhh 35 gramsssssssssss
Step-by-step explanation:
its just 175% of 20g
The force f of an object is calculated by multiplying its mass m with acceleration a. Rearrange the formula f = ma to make mass m the subject.
:((( please answer! Thanks.
Answer:
66
Step-by-step explanation:
71+43=114
180-114=66
Answer:
66
Step-by-step explanation:
Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Answer:
10
Step-by-step explanation:
(12 + x0.5) <= 17
You and a friend are paid $38.25 for doing yard work.
You worked 2.5 hours and your friend worked 2 hours.
You split the money according to the amount of time
each of you worked.
How much money did you make in an hour?
HELP ME FIND THE SLOPE PLS
Answer:
6
Step-by-step explanation:
Find 2 points that are connecting integers
y2-y1/x2-x1(use this to find slope)
(3,3)(2,-3)
-3-3/2-3
-3-3=-6
2-3=-1
-6/-1=6
Therefore, slope is 6
Consider the graph below.
N
1
-3 -2 -1
1
2
3
4
5
3
-4
Which of the following inequalities defines the shaded region of the graph above?
v> 3x
y 2 3x + 1
y 23x - 1
y 21 - 3x
Answer:
C
Step-by-step explanation:
Is there another way to convert fractions to decimals (explanation pls ❤️)
Answer:
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.
Step-by-step explanation:
Answer: The simplest method is to use a calculator.
Just divide the top of the fraction by the bottom, and read off the answer. Hope this helps! If not, I’ll come up with another explanation! :)
10 is 32% of what number?
a. ; 32
b. ; 31.25
c. ; 3.2
d. ; 312.5
ANSWER:
31.25
STEP-BY-EXPLANATION:
you take 32 percent of a number and get 10, then what is that number?
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:31.25
GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...
Answer:
b. 31.25
Step-by-step explanation:
[tex]\frac{10}{y} :\frac{32}{100}[/tex]
y × 32 = 10 × 100
32y = 1000
32y ÷ 32 = 1000 ÷ 32
y = 31.25
CORRECT ANSWER GETS BRAINLIEST!
A dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
If someone was interested in buying a used car that is about 4 years old, what would be a reasonable price for the car?
$
Answer:
8618 is correct,
give the person above me brainliest.
ED2021
The reasonable price of the car after 4 years will be $8618.
What is regression analysis?Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.
Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
The price of the car after 4 years will be calculated as follows:-
y = 12338 - 930x
y = 12338 - ( 930 x 4 )
y = 12338 - 3720
y = $8618
Therefore, the reasonable price of the car after 4 years will be $8618.
To know more about regression analysis follow
https://brainly.com/question/7781679
#SPJ5
told u aint doing my work help
Answer:
A: 50:100
Step-by-step explanation:
The ratio 5:10 is the ratio of caramels to fruit creams. This ratio is equivalent to 50:100.
Preston bought 16 donuts. There were d donuts in each box. Choose the expression that shows how many boxes of donuts Preston bought
Answer:
What are the option?
Step-by-step explanation:
Which statement is true about figures ABCD and A'B'C'D?
Answer:
Step-by-step explanation:
To understand the transformation better we will take a point B first.
Coordinates of B → (3, 0)
When we rotate this point by 180° counterclockwise about the origin, rule to be followed,
(x, y) → (-x, -y)
By this rule, coordinates of B'' will be,
B(3, 0) → B''(-3, 0)
Now we translate the point B by 2 units right.
Rule for the translation is,
(x, y) → [(x + 2), 0]
Following this rule,
B''(-3, 0) → B'[(-3+2), 0]
→ B'(-1, 0)
We can conclude with the statement, "Figure ABCD was rotated by 180° about the origin followed by the translation of 2 units to the right" to get the new figure A'B'C'D' similar to pre-image ABCD.
Evaluate 7y - 3y for y=3
7 . 3 - 3 . 3
= 21 - 9
= 12
Just substitute you y = 3 into the equation
Answer:
The correct answer is 12.
Step-by-step explanation:
To solve this problem, we must plug in 3 for each occurrence of y in the expression because we are given that y = 3. In this case, we will get the following:
7y - 3y
7(3) - 3(3)
To evaluate, we must simplify this expression. Due to the order of operations, we should compute the multiplication first. 7*3 = 21 and 3*3=9, so we can plug in these values into our expression.
21 - 9
Now, we can perform the subtraction.
21-9=12
Therefore, the correct answer is 12.
Hope this helps!
simplify:
3х + 5y-x+ 2y
&
3g + 5h +4g - 2h
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]3x + 5y - x + 2y = [/tex]
[tex]3x - x + 5y + 2y = [/tex]
[tex](3 - 1)x + (5 + 2)y = [/tex]
[tex]2x + 7y[/tex]
_________________________________
[tex]3g + 5h + 4g - 2h = [/tex]
[tex]3g + 4g + 5h - 2h = [/tex]
[tex](3 + 4)g + (5 - 2)h = [/tex]
[tex]7g + 3h[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height) is 33,000 feet. After 8 minutes, it is at 17,000 feet. Answer the questions to write a function that models the plane's altitude.
Answer:
S=33000-2000tStep-by-step explanation:
Step one:
Let A be the altitude of the plane
Hence we can define a function that represents this scenario.
the rate at which the plane's altitude decreases is
=33000-17000/8
= 16000/8
=2000
The rate of decrease is 2000 ft per minute.
Thus for anytime "t" the expression for the altitude is
S=33000-2000t-------where t is the time in minute.
say we want to find altitude after 12 minutes
then t=12
substitute in the expression we have
S=33000-2000(12)
S=33000-24000
S=9000ft
Answer:
Part 1) Descending Rate = -2,000 ft/min
Part 2) Starting altitude value is 33,000 ft
Part 3) The linear equation for the plane's altitude (y) as a function of time (x) is:
Part 4) The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent
Step-by-step explanation:
Part 1)
The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):
Part 2)
When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft
Part 3)
We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b
by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:
with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:
Part 4)
The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.
Step-by-step explanation:
a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.
Answer:
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestStep-by-step explanation:
A completely randomized design for this experiment can be carried out following the following steps
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestWhat is the slope of the line that passes through (−2, −4) and (3, 7) ?
A.9/ 7 B. 11/ 5 C. 3 D. I don't know.
Answer:
11/5
Step-by-step explanation:
-4 - 7 = -11
-2 - 3 = -5
11/5
Answer:
B. 11/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -4)
Point (3, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7+4}{3+2}[/tex]Add: [tex]m=\frac{11}{5}[/tex]need help with slope from two points
Answer:
whatz slope
Step-by-step explanation:
??
SECTION 2012
QUESTION OF
ASSIGNMENTS
COURSES
Assignment - 4. Continued Proofs: Transversals and Special Angles
Attempt 1 of 4
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none,
then select none.
When m_7 = m_4
O AB || DC
O none
O AD || BC
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