Answer:
3 dogs and 5 cats were adopted out on Christmas eve.
Step-by-step explanation:
Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.
From the question,
On Christmas Eve, the animal adopted out 8 total animals
That is, x + y = 8 ...... (1)
and brought in $400 in total adoption fees.
Also from the question,
Each dog adoption fee was $75 and each cat adoption fee was $35.
∴ On Christmas Eve,
75x + 35y = 400 ...... (2)
Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.
From equation (1)
x + y = 8
Make x the subject of the relation.
∴ x = 8 - y ...... (3)
Substitute the value of x into equation (2)
75(8 - y) + 35y = 400
600 - 75y + 35y = 400
600 -40y = 400
600 - 400 = 40y
200 = 40y
∴ 40y = 200
y = 200/40
y = 5
Substitute the value of y into equation (3)
x = 8 - y
x = 8 - 5
x = 3
∴ x = 3 and y = 5
Hence, 3 dogs and 5 cats were adopted out on Christmas eve.
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
There are 12 runners in marathon and all runners have equal chance of winning. What is the probability that a person may win a bet on the race if he has to correctly select the top 3 runners and
the order they finish in?
a) 1/1320 b) 1/1728
c) 3/1728 d) 1/12
kindly solve it using permutation technique
Answer:
A) 1/1320
Step-by-step explanation:
We know there are 12 runners in the race. Of these 12 people, one of them will get first place. In other words, 12 people have a chance of getting first place. Now there are 11 people remaining to get second place. Since one of the twelfth came first place, there are now 11 runners remaining to get second place. Finally, there are 10 people remaining. Since two of the 12 people came first and second, there are 10 people remaining who can get third place. So if a person was to correctly select the top 3 runners, then he would have a chance of 1/1320. You get this by multiplying 10, 11,12. You get 1320. since you have to pick one combination of 1st,2nd, and 3rd, the answer is A.
Construct a difference table to predict the next term of the sequence.
1, 8, 18, 31, 47, 66, . . .
Answer:
88
Step-by-step explanation:
8-1=7
+3
18-8=10
+3
31-18=13
+3
47-31=16
+3
66-47 = 19
+3
x - 66 = 22
+66 +66
x= 88
Find the slope between the points (3, 0) and (5, 4).
A. 2
B. 12
C. 4
Answer: I would say A tbh thank you
Step-by-step explanation:
The coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope between the points (3, 0) and (5, 4) exists 2.
What is meant by slope of the equation?Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope formula, or the ratio of the change in the y values to the change in the x values, is
[tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
where [tex]$(x _1, y_ 1)$[/tex]and [tex]$(x_ 2, y _2)$[/tex] are two points that lie on the line.
Let the points be [tex]&(x _1, y _1)[/tex] = (3, 0) and [tex]$&(x _2, y _2)[/tex] = (5, 4)
The equation be [tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
substitute the values in the above equation, we get
[tex]$m=\frac{4-0}{5-3}=\frac{4}{2} \\[/tex]
The slope between the points (3, 0) and (5, 4) exists 2.
Therefore, the correct answer is option A. 2.
To learn more about slope refer to:
https://brainly.com/question/3493733
#SPJ2
7: (page 311) Triangle DEF has vertices D(1,2), E(1,6), and F(4,2). What are the coordinates of
the orthocenter of Triangle DEF?
Answer:
u
Step-by-step explanation:
I need help for this question ASAP
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he has owned the home. Which of the following equations can be ined to represent the price of the home x years after 2010?
- y = 150,000 (1.5)^x
- y = 150,000(1.1)^x
- y = 150,000(0.9)^x
- y = 150,000(0.5)^x
Answer:
Y=150,000*(1.1)*
Step-by-step explanation
As Every year the rate of increase is 10% therefore the rate 1+10%=1.1, and X is number of years. So, (1.1)*, and after x years to get the correct value you can multiply, y=150,000*(1.1)*
Answer:
y = 150,000(1.1)^x is the answer
Step-by-step explanation:
I did the test and got it right!!
what is 1+1, please answer
Answer:
Your answer is 2.
Step-by-step explanation:
You use the normal way of adition.
1
+1
___
2.
Hope this helps!
A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.
Answer:
[tex]Actual\ Length = 2.54\ cm[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae
Step-by-step explanation:
Given
The following scale measurements
[tex]Length = 7.62cm[/tex]
[tex]Width = 3.81cm[/tex]
[tex]Scale\ Factor = 3[/tex]
Solving (a): The actual length.
We simply divide the scale length by the scale factor.
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]
[tex]Actual\ Length = 2.54\ cm[/tex]
Solving (b): The actual width.
We simply divide the scale width by the scale factor.
[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]
[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
Solving (c):
Given: Actual Length of the beetle's antennae is 0.2 cm.
Required: Determine the scale measurement.
This is solved using:
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]
[tex]Scale\ Length = 0.2cm * 3[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex]
Fossil fuels produce a higher percentage of the energy in the U.S. than renewable resources because fossil fuels produce far less pollution.
true or false?
Answer:
false
Step-by-step explanation:
fossil fuels are hard to come by, and take a very long time to get back, I dont know about energy, but there is far more pollution than using energy from water or air
what is the anwser to 20<2m-16
Answer:
the answer is m>18 hope this helps
Which decimal is equivalent to 40?
Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)
Answer:
Option A "4(-7k+16k+3)" would be the appropriate choice.
Step-by-step explanation:
On solving the equation, we get
⇒ [tex]4(-7k+16k+3)[/tex]
On applying BODMAS rule, we get
⇒ [tex]4(9k+3)[/tex]
Therefore,
⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]
All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.
I need help with my math homework. It would mean a lot to me if someone coupd explain it. Ill type the directions. It says: Using the graphs below, write the linear equation of the line in slope intercept form (use format: no spaces, y=mx+b) ansaers and earn pixels for correct answers. Answer all 18 problems correctly to reveal the pixel art image. Here are the graphs I need to do. Please help me out if you can. I will make another question on my account so I can add more pictures of the graphs because I can only do five on here.
Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!
Write an equation to determine the normal price of each cookie (c)
Find the normal price of each cookie.
Answer:
$1.35
Step-by-step explanation:
divide $2.80 by 7 ($0.40)then add $0.75 Which equals $1.35
what is the coefficient of -4(4t^2+4t+1)
Answer:
So 2t%5E2%2B4t-30 completely factors to 2%28t%2B5%29%28t-3%29.
In other words, 2t%5E2%2B4t-30=2%28t%2B5%29%28t-3%29.
Note: you can check the answer by expanding 2%28t%2B5%29%28t-3%29 to get 2t%5E2%2B4t-30 or by graphing the original expression and the answer (the two graphs should be identical).
Step-by-step explanation: hope that helps!
URGENT PLEASE!! I’ll give you brainliest! You just have to find x
Step-by-step explanation:
3(x+2)-(2x-1)=4(3-x)
3x+6-2x+1=12-4x
3x-2x+4x=12-6-1
5x=5
x=1
Answer:
x=1 2/5
Step-by-step explanation:
3x+6-2x-1=12-4x
x+5=12-4x
-5 -5
x=7-4x
+4x +4x
5x=7
/5 /5
x=7/5
x=1 2/5
Please hurry, best answer gets brainly
Can someone help me with this please
Answer:
The 3rd one
Step-by-step explanation:
The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.
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?
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.
Could u help me !! Plz I will gave Brainliest
Answer:
1.) 120.722222206 or 120.72
2.) 650.250000382 or 650.25
Step-by-step explanation:
Peter bought 12 collectable coins for $8.00. What was the price per coin? How did you get that answer?
Answer:
Step-by-step explanation:
8.00/12= $0.60 a piece
Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.
Answer:
Number of students who do not know = 24
Step-by-step explanation:
Year II students = 240
15% of the students want to go to college.
Number of year II students who wants to go to college = 15% of 240
= 15/100 × 240
= 0.15 × 240
= 36
¾ of the students want to stay at school.
Number of students who wants to stay at the school = 3/4 × 240
= (3 × 240) / 4
= 720 / 4
= 180
Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school
= 240 - 36 - 180
= 24
Number of students who do not know = 24
-6m - 1 = -31
m = ___
please show work
ANSWER:
M = 5
Step 1: Add 1 to both sides of the equal sign
-6m-1+1=31+1
-6m=-30
Step 2: Divide both sides by -6
-6m/6 = -30/-6
(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)
Determine which situation could be represented by the system of linear equations given below
The volume of an Amazon package is given by the function below.
8x^3+30x^2+13x−15
A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?
B. Using the volume formula, find the height of the package. (V=lwh)
Please show work
Answer:
Step-by-Step Explanation:
Area of the base = length × breadth
= (4x + 5) (x + 3)
= 4x(x + 3) + 5(x + 3)
= 4x² + 12x + 5x + 15
= 4x² + 17x + 15
_____________________________________
Volume = length × breadth × height
8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h
[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]
1. Jason bought a shirt for 30.00 he paid 15% in sales tax. What is the total
cost of the shirt after the sales tax?
Answer:
34.50
Step-by-step explanation:
multiply 30 times 0.15 to get 4.50 then just add that to 30 for 34.50
The population of Salisa is 12,500 and increases by 300 each month. The population of Corsair is 13,200 and increases by 200 each month. How many months will it take until the population of the two cities is the same?
It will take seven months for the population of each city to be the same.
On month seven, Salisa's population will be 14,600. (300x7=2,100+12,500=14600)
On month seven, Corsair's population will be 14,600 as well. (200x7=1,400+13,200=14600)
6th grade math i mark as brainliest
Answer:it’s d
Step-by-step explanation:
Answer:
C. 17 (24 * 14)
Step-by-step explanation:
24 * 14 how much 1 cow can eat in 2 weeks. multiplied by the total number of cows 17.
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answer:
what are you asking though