We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:
a) P - 13lb + 1.2*E = P - 1lbb) E = 10lbc) Euclid's weight is 10 pounds.d) Pythagora's weight is 33 pounds and Riemann's weight is 20 pounds.We start by defining the two variables we will be using:
E = Euclid's weightP = Pythagoras's weightFirst, Pythagoras loses 13 lb, then his new weight is:
P' = P - 13lb
We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.
A) using the above information we can rewrite:
P - 13lb + 1.2*E = P - 1lb
This is the equation we need to solve.
b) So we want to solve this for E, then we move all the other terms to the right side:
1.2E = P - 1lb - P + 13lb
1.2E = 12lb
E = (12lb)/1.2 = 10lb
c) The solution of the above equation tells us that the weight of the dog is 10lb.
d) Let's define R as the weight of the third dog.
We know that:
R = 2*E = 2*10lb = 20lb
We also know that the combined weight of the 3 dogs is 63 lb, then we have:
E + R + P = 63lb
10lb + 20lb + P = 63lb
P = 63lb - 10lb -20lb = 33lb
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As a car ages, its value decreases. The value of a particular car with an original purchase price of $27, 200 is modeled by the following function, where
c is the value at time t, in years.
c(t) - 27, 200(1 -0.21)
a. What is the value of the car when it is 4 years old?
The value of the car after 4 years is Sl
b. What is the total depreciation amount after 5 years?
After 5 yehrs, the total depreciation amount is s[
a. The value of the car when it is 4 years old is approximately $13,645.23.
b. The car has depreciated by about $16,367.54 after 5 years.
To find the value of the car when it is 4 years old, we can substitute t = 4 into the given function:
c(4) = 27,200(1 - 0.21)^4
c(4) = 27,200(0.79)^4
c(4) ≈ 13,645.23
b. To find the total depreciation amount after 5 years, we need to find the difference between the original purchase price ($27,200) and the value of the car after 5 years. Using the function given, we can find the value of the car after 5 years by setting t = 5:
c(5) = 27,200(1 - 0.21)^5
c(5) = 27,200(0.79)^5
c(5) ≈ 10,832.46
Therefore, the total depreciation amount after 5 years is:
27,200 - 10,832.46 ≈ $16,367.54
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50 * 20 - 10 + 4 = ?
Answer: 994
Step-by-step explanation:
50 * 20 = 1000 - 10 = 990 + 4 = 994
what is the answer to this question?
posted a picture for better understanding:)
Answer:
-1.5 + 27
25.5
Step-by-step explanation:
-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5
Work out the area of the shaded shape.
Answer:
61
Step-by-step explanation:
You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.
Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?
A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept
Answer:
D. The point at x = 0 is x-intercept itself.
Step-by-step explanation:
First, substitute x = 0 in f(x) = sin(x) and examine the point and values.
When x = 0, sin(0) = 0.
Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.
The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.
Thus, A and B are not correct choices.
The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.
Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.
Answer: D is Correct on edmentum/plato
Step-by-step explanation:
you bought a bottle of water for $0.50 then you sold it for $1.00 tell whether this is an increase or decrease and give the percent value changed
Answer:
increase by 100%
Step-by-step explanation:
100% of 0.5 is 0.5 therefore 0.5+0.5=1
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Being the same distance away from 0 if you add the positive and negative values together the answer would be 0.
Answer: x + y = 0
The diagonal of a rectangle big-screen TV screen measures 152cm. The length measures 132cm. What is the height if the screen?
Answer:
75.36cm
Step-by-step explanation:
We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;
height = [tex]\sqrt{5680} = 75..36 cm[/tex]
What is the circumference of the circle shown below? Use
3.14 for it, round your answer to the nearest tenth.
A) 4.4 yd
B) 8.8 yd
C) 43.9 yd
D 87.9 yd
Answer:
Its B
Step-by-step explanation:
a husband and wife discover that there is a 4% probability of their passing on a hereditary disease to 3 of their children if they plan to have their children what is the probability of the event that at least one child will inherit the disease
"4% probability of their passing on a hereditary disease to 3 of their children"
I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.
In case its the first one:
To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.
if the chance of having the disease is 0.04, then the chance of not having it is 0.96
for three children: 0.96*0.96*0.96
= 0.884736
to find the chance of this not happening:
1 - 0.884736
= 0.115264 ≈ 12%
there is a 12 percent chance at least one of the children will inherit the disease
In case its the second one:
the probability of all 3 children having the disease is 0.04,
the probability of 1 child getting the disease is unknown, x.
this means
x*x*x = 0.04
x ≈ 0.342
now we just basically repeat the steps above
1 - 0.342
= 0.658 (probability that one child does not get the disease)
0.658 * 0.658 * 0.658
= 0.284890312 (probability that all 3 children do not get the disease)
1 - 0.284890312
= 0.715109688 ≈ 72%
there is a 72 percent chance at least one of the children will inherit the disease
if 5/7 of x is 5/21 then what's x?
[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]
Answer:
[tex]x = \frac{1}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
a torist walks 10.5 inches in 3 seconds. how far does it walk per second
Divide distance by time:
10.5 inches / 3 seconds = 3.5 inches per second
Answer: 3.5 inches per second
Answer: 31.5
Step-by-step explanation: you multiply the inches by the second.
..Find the slope of a line that contains the points (0,1) and (1,3)
Answer:
m=2
Step-by-step explanation:
m=y2-y1/x2-x1
m=3-1/1-0
m=2/1
m=2
Answer:
2
Step-by-step explanation:
because i got it right on the quiz
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:1+1
Step-by-step explanation:
1+1=2
Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.
Answer:
25.024 mi/gal
Step-by-step explanation:
To find miles per gallon, divide miles by gallons.
(312.8 mi)/(12.5 gal) = 25.024 mi/gal
20/50 = 30/x solve for x
Answer:
x = 75
Step-by-step explanation:
20/50 = 30/x
Divide the numbers and find x. If you plug back in 75 for x and simply, you should get the same fraction for each, 4/10.
A table of values of a linear function is shown below. Find the output when the input is n.
Answer:
Step-by-step explanation:
output = y
input = x
y=-2x + 3
if you follow the pattern, the next input is 5 which will output -7
Multiply.
(−2/3) x (5/4)
Answer:
-5/6
Step-by-step explanation:
multiply the top
-10
multiple the bottom
12
you get
-10/12
or simplified
-5/6
Answer:
de 35
Step-by-step explanation:
What is the multiplicative inverse for dividing 5\6 by 7\11
Answer: The value of 5/6 is 5 and the value 7/11 is 7.
Step-by-step explanation:
Pre college need help
Answer:
check online for more information
The national debt of a county is the total amount of money the government of that country owes. Imagine everyone in the United States was asked to help pay off the national debt. How much would each person have to pay?
(*Hint: Use the numbers below in your calculations.*)
According to npr.org, as of Feb. 2019, the US national debt was $22 trillion.
According to the United States Census Bureau, as of 2018, the US population was 327.2 million people.
PLEASE ANSWER
Answer:
Each person have to pay $67,237
Step-by-step explanation:
Amount each person would pay = Total amount of debt/ Size of Population
= 22000000000000/327200000
= 67237. 164
Approximately $67,237
Answer: 46572
Step-by-step explanation:
It is how you do the math look over your answers you got this
Cuál sería el interés producido durante tres años, por un capital de s/30 000, al 5%
Answer:
2%
Step-by-step explanation:
Answer: la respuesta a tu pregunta es 2%
que tengas un gran día / noche!
Last summer, Scott's family rented an RV. The rental fee allowed them to use the RV for 7 days. Scott's parents paid an additional $45 for the Cozy Camp upgrade, which included a grill to use for the duration of their trip. Scott's family paid $829 in all. What was the rental cost of each day they used the RV?
Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.
Total amount paid = $829Number of days used = 7 daysFrom the information that was given in the question, the equation to solve the question will be:
= (829 - 45) / 7
= 784 / 7
= $112 per day.
The correct option is $112 per day.
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A force of 18 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W W is done in stretching it from its natural length to 7 in. beyond its natural length
Answer:
Step-by-step explanation:
Average force is (19 + 0)/2 = 9 lb
2 inches = 1/6 ft
W = Fd = 9(1/6) = 1.5 ft•lb
Ryan works at the donut shop where he makes $10.25 per hour He also works part time at the school bookstore where he makes $8.75 an hour if he worked 20 total hours last week and made $196 how many hours he did work at the bookstore?
Answer:
aprometly 19 I think
Step-by-step explanation:
cause don't you have yo divide 196 ÷ 10.25
/I could use some help i dont know this
Answer:
4.5+19.75=24.25
Step-by-step explanation:
Ulises lives 2.5 miles from school. Convert the distance to feet.
Answer:
The answer is 13,200 feet.
Step-by-step explanation:
1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.
5,280 * 2.5 = 13,200.
If you don't have a calculator you can multiply be splitting the parts.
5,280 * 2 = 10,560
+ 2,640 = 13,200
You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5
Hope this helps! :)
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Answer:
13200 feet. Guaranteed
Step-by-step explanation:
Find all real zeros of the function f(x)=2x(x-1)2(x-5)2
James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Yes because if you do 19.99 times 6 you get 119.94
Simplify the expression.
−10−3
Answer:
-13
Step-by-step explanation: