We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7 (idk if this is right hope it is!!!)
A coach buys 15 basketball uniforms for $546.
Which relationship relates the price to uniforms. Circle
all that apply.
a. 1:15
b. 15 to 546
c. 36.4071
d. 1 to 36.40
e.546 to 15
Answer:
d
Step-by-step explanation:
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
42
Answer:
67
Step-by-step explanation:
A = 25, T(0) = 100, T(1) = 90, find T(4)
dT/dt = -k(T - A)
d(T - A)/dt = -k(T - A)
d(T - A)/(T - A) = -k dt
ln(T - A) = lnC - kt
[tex]T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75[/tex]
[tex]T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3[/tex]
Convert 64 quarts to gallons
Answer:
16 gallons
Step-by-step explanation:
Since 4 quarts is equal to a gallon, you should divide 64 quarts by 4 to get 16 gallons
Answer:
Containing in one gallon, there is 4 quarts.
I like to order my units preferably so I can understand better;
QUARTS 4 (x16) 64
________ = ______ = ______ so x = 16
GALLONS 1 (x16) x
Complete the pattern below in the list of numbers. 5, 15, 9, 19, 13,
Answer:
23
Step-by-step explanation:
5+10=15
15-6=9
9+10=19
19-6=13
So, we should do:
13+10=23
Please help with this!
I will need a clear explanation!
Willy can cover in 1L paint
[tex]\\ \rm\rightarrowtail \dfrac{13.5}{3}=4.5m^2[/tex]
1st box should be filled with 4.5Can cover in 10L
[tex]\\ \rm\rightarrowtail 4.5(10)=45m^2[/tex]
Second one should be filled with 45
Answer:
4.5 : 1
45 : 10
Step-by-step explanation:
Given ratio: 13.5 : 3
To calculate equivalent ratios, we need to do the same operation to both sides of the ratio.
To reduce 3 L of paint to 1 L of paint, we need to divide by 3.
Therefore, we should also divide 13.5 by 3:
13.5 ÷ 3 : 3 ÷ 3
= 4.5 : 1
To increase 1 L of paint to 10 L of paint, we need to multiply by 10:
4.5 × 10 : 1 × 10
= 45 : 10
Solve 2/5x-1/5>1 x>? pls help I'm timed!!
Answer:
[tex]2/5x-1/5>1 x>[/tex]
= [tex]\:x<-\frac{1}{3}\:[/tex]
Solve the literal equation for E.
LaTeX: G=\frac{2b^2E}{F}
Answer:
[tex]E=\dfrac{FG}{2b^2}[/tex]
Step-by-step explanation:
Multiply by the inverse of the coefficient of E.
[tex]G=\dfrac{2b^2E}{F}\\\\\boxed{E=\dfrac{FG}{2b^2}}[/tex]
You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?
Answer:
80%
Step-by-step explanation:
GIven:
You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?
Solve:
24/30 x 100
0.8 x 100
80%
Hence, the percentage of correct answers on the test.
~Lenvy~
In a short story, a scientist spends decades working to genetically engineer a
chimpanzee that can produce human speech. Her eventual success reveals
that animals of all kinds are far smarter and more perceptive than we had
ever realized. In the end, the chimpanzee is
released into the wild and the
scientist's work erased because humans are not comfortable with this
knowledge.
What are two common literary themes that this story most clearly shows?
• A. The determination to succeed and the acceptance of failure
• B. The domination of man over nature and unrealized dreams
• C. The complexity of nature and the security of ignorance
• D. The power of
science and the evil of humankind
Answer:
C
Step-by-step explanation:
it’s just unnatural for a wild animal to give a speech. The security of ignorance is when humans are uncomfortable with it.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
A biologist was doing an experiment with plants. The shortest plant measured 13 feet. The tallest plant measured 1.45 feet. Drag all measurements into the box that are between the heights of the two plants.
1.2 feet
1.4 feet
1.31 feet
1.03 feet
1.44 feet
1.5 feet
help I will follow and give BRAINLIEST
The measurements that will be dragged into the box is 1.4 feet, 1.31 feet, 1.44 feet.
The rest of the measurement wouldn't be within the bounds and thus will not be dragged in.
Find the vertex, the equation of the axis of symmetry, and the y-intercept of each function.
7) y = -2x-4x+5
Answer:
Vertex: (-1,7)
Equation of the axis of symmetry: x = -1
y-intercept: (0, 5)
Step-by-step explanation:
I will assume that the function is quadratic where it is supposed to be y = -2x² - 4x + 5.
The standard form of quadratic functions can be written as
y = ax² + bx + c
To find the vertex of this function, we need the axis of symmetry (aos).
aos = - b/2a
= - ( -4/-4)
= - 1
Axis of symmetry: x = -1
For the vertex, simply plug in the aos into the function.
f(x) = -2x² - 4x + 5
f(-1) = -2(-1)² -4(-1) + 5
= -2 + 4 + 5
= 7
Vertex: (-1, 7)
Now the y-intercept is the easiest part, since the function is written in standard form. When it is, the y-intercept is always (0, c), which in this case is (0, 5).
y-intercept: (0,5)
What is P44 ? 16 24 4 1
Answer:
Page 44? you mean
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
i just took the test
By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 290 minutes on the phone, and paid $22.25. In another month, you spent 360 minutes on the phone, and paid $24.00.
Let x be the number of minutes you talk over the phone in a month, and let y be your cell phone bill for that month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone.
a. This linear model's slope-intercept equation is_____________.
b. If you spent 140 minutes over the phone in a month, you would pay________________ .
c. If in a month, you paid $26.25 of cell phone bill, you must have spent ______________minutes on the phone in that month.
Answer:
(a) [tex]y = 0.025x+15[/tex]
(b) 18.5 minutes
(c) 450.4 minutes
Step-by-step explanation:
Given
[tex]290\ minutes = \$22.25[/tex]
[tex]360\ minutes = \$24.00[/tex]
Solving (a): Determine the linear equation
First, we need to calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (290,22.25)[/tex]
[tex](x_2,y_2) = (360,24.00)[/tex]
So, we have:
[tex]m = \frac{24.00 - 22.25}{360 - 290}[/tex]
[tex]m = \frac{1.75}{70}[/tex]
Multiply through by 100
[tex]m = \frac{1.75 * 100}{70 * 100}[/tex]
[tex]m = \frac{175}{7000}[/tex]
Next, is to calculate the equation of the line using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that:
[tex](x_1,y_1) = (290,22.25)[/tex]
[tex]m = \frac{175}{7000}[/tex]
[tex]y - 22.25 = \frac{175}{7000}(x - 290)[/tex]
[tex]y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290[/tex]
[tex]y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}[/tex]
Add 22.25 to both sides
[tex]y = \frac{175x}{7000} - \frac{5075}{700} + 22.25[/tex]
[tex]y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}[/tex]
[tex]y = \frac{175x}{7000} + \frac{10500}{700}[/tex]
[tex]y = 0.025x+15[/tex]
(b) Solve for y when x = 140
[tex]y = 0.025x+15[/tex]
Substitute 140 for x
[tex]y = 0.025 * 140 + 15[/tex]
[tex]y = 3.5 + 15[/tex]
[tex]y = 18.5[/tex]
(c) Solve for x when y = 26.25
[tex]y = 0.025x+15[/tex]
Substitute 26.25 for y
[tex]26.25 = 0.025x + 15[/tex]
Solve for 0.025x
[tex]0.025x = 26.26 - 15[/tex]
[tex]0.025x = 11.26[/tex]
Solve for x
[tex]x = 11.26/0.025[/tex]
[tex]x = 450.4\ minutes[/tex]
write the EQ of circle i find center and radius given
x² + y²-4x+12y =-4
Answer:
CENTER :(2,-6)
RADIUS: 6
FOLLOW ME❤️✨FOR M0RE QUESTION
THAT YOU WHAT ME TO ANSWER
Step-by-step explanation:
Hey there!
Given;
[tex] {x}^{2} + {y}^{2} - 4x + 12y = \: - 4[/tex]
Now, Try to make it a perfect square.
[tex] {x}^{2} - 4x + {(2)}^{2} - ( { 2)}^{2} + {y}^{2} + 12y + ( {6)}^{2} - ( {6)}^{2} = - 4 [/tex]
Make perfect square and shift -(2)^2 and -(6)^2 on right side.
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = - 4 + 40[/tex]
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = 36[/tex]
Comparing the equation with (x-h)^2(y-h)^2= r^2.
We get,
Centre (h,k)= (2,-6)
Radius (r) = 6
Hope it helps...
Which of the following is the equation of a nonlinear function?
A. y = 25
B. y = x −
C. y = 10x
D. y = x 2 + 15
Answer:
A
Step-by-step explanation:
y = 25 is a zero slope function and is also not in the form of y=mx+b, unlike the others.
Three times a number decreased by 9
Answer:
I do not know what you want, but the equation is 3x - 9
Step-by-step explanation:
Answer:
3a - 9
Step-by-step explanation:
Three times a number decreased by 9:
3a - 9
Use the multiplication property of inequality to solve the inequality and graph the solution set on a number line.
Find the solution set.
-4x≥12
could someone help me?
Answer:
∠B = 65°
Step-by-step explanation:
Complementary angles are angles that add up to 90°. So if there is 90 total degrees - 25 degrees of ∠A, then ∠B = 65°.
(−2/3)(1/6) I need to know how to do fraction accurately
Answer && Step-by-step explanation:
Simple.
- 2/3 1/6 line up together, we already know end result is neg since only one neg sign
2*1 = 2
6*3 == 18
ans == -2/18
Researchers for a local marketing firm have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how would they notate this distribution
Answer:
df=23, T∼t23
Step-by-step explanation:
The degrees of freedom would be calculated as df = n-1 = 24-1 = 23, and the distribution notation would be T∼t23 from the degrees of freedom.
Reflect the given triangle over the line y= -x
[0 7 -1]
[0 -3 -4]
Answer:
9514 1404 393
Answer:
[ 0 -3 4 ]
[ 0 -7 1 ]
Step-by-step explanation:
Reflection over the line y=-x swaps the coefficients and negates both of them.
(x, y) ⇒ (-y, -x)
Dont take my word for it ...
Answer: 0 3 4
0 -7 1
Step-by-step explanation:
its 2.2 km from charlie's house to the nearest mailbox. how far is it in meters
Answer:
2200
Step-by-step explanation:
Kilo means 1000, so kilometers are 1000 meters, therefore 2.2 kilometers = 2200 meters.
Answer: 2,200
Step-by-step explanation:
Multiply 2.2 with 1,000 because the km to meters conversion is 1,000.
It takes the window washing crew 15 minutes to wash 18 windows. Based on this, how long does it take them to wash all 24,348 windows?
Answer:
Step-by-step explanation:
34321.2 min
Step-by-step explanation:
The Burj Khalifa has in total 28601 windows. On the other hand, we are told the window-washing crew can wash 15 windows in 18 minutes. So, we can use the Rule of three to solve this problem:
If:
15 windows ---- 18 min
28601 windows ---- ?
Then:
? = (28601windows)(18min)/15windows
? = 34321.2min
To wash all 24,348 windows the washing crew needs 20290 minutes.
What is unitary method ?Unitary method a tool for first determining the value of a single unit from there we can find values of any given unit.If we multiply the value of single unit with the give data we can obtain our result.
According to the given question It takes the window washing crew 15 minutes to wash 18 windows.
∴ To wash 1 window by the window washing crew is
= 15/18 minutes.
= 5/6 minutes.
So, To wash 24348 windows the time required is
= (5/6)×24348 minutes.
= 20290 minutes.
learn more about unitary method here :
https://brainly.com/question/23423168
#SPJ2
Question 8 (Essay Worth 2 points)
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
Complete the following table:
Number of friends (f) 5 10 15 20
Cost of party (c) 100 200 300 400
Plots the points from the table onto the graph.
No fixed entry fee
Cost is 20$ per personIf no of persons be x
The expression is
y=20xVerification:-
100=5(20)=100Hence verified
Answer:
Let f be the number of friends
Let c be the cost of the party
As (f) is the independent variable, the number of friends will be along the x-axis.
As (c) is the dependent variable, the cost of the party will be along the y-axis.
If the cost of the party is $20 per person, then the equation to represent the relationship is:
c = 20 f
**see attached graph complete with plotted points**
Light travels at a speed of 1.9 times 10^5 miles per second. How far in miles does light travel in 30 seconds?
Answer:
5,700,000 miles
Step-by-step explanation:
[tex](1.9*10^{5})*30\\ \\190,000*30\\\\=5,700,000[/tex]
what is the mode of the following data 1,2,1,1,3,2,2,2
Answer:
2
Step-by-step explanation:
the mode is the one that appears the most, most common one
Answer:
2
Step-by-step explanation:
mode means the most common number in the set.
I hope this helps....
26. Which of the following DO NOT illustrates independent events?
A. Landing on heads after tossing a coin and rolling a 5 on a single 6-sided die.
B. Choosing a marble from a jar and landing on heads after tossing a coin.
C. Rolling a die and getting an even number.
D. Choosing a 3 from a deck of cards, replacing it and then choosing an ace as the second card.
Answer:
C. obtaining an even number when rolling a die
Step-by-step explanation:
Two events are independent when neither depends on the other. That is, the probability that one occurs is not affected by the occurrence, or lack of occurrence, of the other event. Their joint probability is the product of their individual probabilities.
__
Among the answer choices, all describe two independent events except C. Choice C describes one (1) event, so does NOT illustrate independent events.
You play a gambling game with a friend in which you roll a die. If a 1 or 2 comes up, you win $6. How much should you lose on any other outcome in order to make this a fair game?
$
Answer:
every other roll should make u lose $3
Multiply $81$ by the sum of $2$ and $3$.
What are the effects of low‑fat food labels on food consumption? Do people eat more of a snack food when the food is labeled as low‑fat? The answer may depend both on whether the snack food is labeled low‑fat and whether the label includes serving‑size information. An experiment investigated this question using university staff, graduate students, and undergraduate students at a large university as subjects. Subjects were asked to evaluate a pilot episode for an upcoming TV show in a theater on campus and were given a cold 24‑ounce bottle of water and a bag of granola from a respected campus restaurant called The Spice Box. They were told to enjoy as much or as little of the granola as they wanted. Depending on the condition randomly assigned to the subjects, the granola was labeled as either "Regular Rocky Mountain Granola" or "Low‑Fat Rocky Mountain Granola." Below this, the label indicated "Contains 1 Serving" or "Contains 2 Servings" or it provided no serving‑size information. Twenty subjects were assigned to each treatment, and their granola bags were weighed at the end of the session to determine how much granola was eaten. (a) How many factors and treatments are there?
Answer:
There are six factors and two treatments.
Step-by-step explanation:
We can make this conclusion because treatments in experimentation refer to something that researchers use or administer to their subjects, while factors simply refer to the category of treatments; in other words, the number of various types of treatments.
Remember, the researchers stated that "the condition [treatments] randomly assigned to the subjects", is that the granola was labeled as either "Regular Rocky Mountain Granola" or "Low‑Fat Rocky Mountain Granola," which shows that the treatments are two (Rocky Mountain Granola and Low‑Fat Rocky Mountain Granola). Summing the factors (various types/categories of treatments) gives us six factors.