Arthur walked 6 kilometers around the park, and D.W. sprinted 200 m at the park. How many meters did they travel in total?
Answers
Answer:
6200 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer should be 6200
Related Questions
According to the key of a park map, every 5 inches-
on the map represents 3 miles of trails in the park.
How many inches on the map represents 12 miles on
the park trails?
Answers
Answer: 20 inches
Step-by-step explanation: Let's quickly create some equations to represent what's going on. We can say i are inches and m are miles. Then, 5i=3m because 5 inches represents 3 miles.
5i=3m
5/3i=1m One mile represents 5/3 of an inch/
12(5/3i)=12m We multiply by 12 since we want to know what 12 miles are
60/3i=12m=20i 12 miles is equal to 20 inches
Hope this helps! For practice, if 10 inches represented half a mile on a map, how many feet are represented by 36 miles?
3x+12y=-8 show ur work
Answers
Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.
PLZ HELP QUICKLY
__
in this figure GH has
endpoints G(-2,4) and H(2,-2). what are the coordinates of G'
__
and H' after GH is dilated by a factor of 3 with the center of dilation at the origin?
Answers
Answer:
g-6,12 h-6,-9
Step-by-step explanation:
h is 2-3 btw
Answer:
G'(-6,12) H'(6,-9)
Step-by-step explanation:
I did the assignment
find the slope x intercept and y intercept of the standard form equation below 7x + 3y equals 42
Answers
Given the equation of the line :
\(7x+3y=42\)To find the slope, we will write the equation of the line in slope- intercept form
So, it will be as following :
\(\begin{gathered} 7x+3y=42 \\ 3y=-7x+42 \end{gathered}\)Divide all terms by 3
\(\begin{gathered} \frac{3y}{3}=-\frac{7x}{3}+\frac{42}{3} \\ \\ y=-\frac{7}{3}x+14 \end{gathered}\)Which will be similar to the general form: y = m * x + b
Where m is the slope
So, the slope of the given equation = -7/3
To find y- intercept, substitute with x = 0
\(\begin{gathered} 7\cdot0+3y=42 \\ 3y=42 \\ \\ y=\frac{42}{3}=14 \end{gathered}\)To find x- intercept , substitute with y = 0
\(\begin{gathered} 7x+3\cdot0=42 \\ 7x=42 \\ \\ x=\frac{42}{7}=6 \end{gathered}\)so, the answer is :
\(\begin{gathered} x-\text{intercept}=6 \\ y-\text{inercept}=14 \\ \text{slope}=-\frac{7}{3} \end{gathered}\)Rewrite the expression with a positive rational exponent. Simplify, if possible.100-1/2
Answers
We need that the 100 has a 2 in the denominator. To do this, we can multiply on top and bottom by 2:
\(100\cdot\frac{2}{2}=\frac{200}{2}\)Now, we can make the subtraction:
\(\frac{200}{2}-\frac{1}{2}=\frac{199}{2}\)The answer is 199/2
Factor the given polynomial completely. If the polynomial cannot be factored, say that it is prime.
Answers
Given a quadratic polynomial
\(x^2-5x-24\)Using factorization method
\(\begin{gathered} x^2-8x+3x-24 \\ (x^2-8x)+(3x-24) \\ \end{gathered}\)factor out the common factor
\(\begin{gathered} x(x-8)+3(x-8) \\ we\text{ have} \\ (x-8)(x+3) \end{gathered}\)The final answer
\(x^2-5x-24=(x-8)(x+3)\)Answer:
(x-8)(x+3)
Step-by-step explanation:
you could use the formula:
(a-b)(a+b)=a^2+b^2
Double checking our work:
(x-8)(x+3)
x^2+3x-8x-24
x^2-5x-24
A circle has a diameter of 18 yd. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
what is the difference between 5 cu ft and 5.0 cu ft
Answers
Answer:
There is no difference between 5 cu ft and 5.0 cu ft.
FREE BRAINLIEST!!! + 100 PTS
Compare negative one and six tenths repeating and negative five thirds using symbols <, >, or =. negative one and six tenths repeating is less than negative five thirds negative one and six tenths repeating is greater than negative five thirds negative five thirds is equal to negative one and six tenths repeating negative five thirds is greater than negative one and six tenths repeating
Answers
Answer:
-1 6/10
is greater than
- 5/3
Step-by-step explanation:
The profit, in dollars, of selling n items is given by P(n) = 0.86n - 2800. Identify the slope and the y-intercept.
Answers
Answer: 0.86 and -2800 (choice A)
Explanation:
Think of the given equation as y = 0.86x - 2800
Then compare it to y = mx + b
We see that m = 0.86 is the slope and b = -2800 is the y intercept.
Answer:
Slope: 0.86 , Y-intercept:-2800
Step-by-step explanation:
Linear equations go by the form of y=mx + c
where m is the gradient(slope of the graph) and c is the y-intercept
Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?
Choose the most logical value for the variable to represent.
Let x = .
3m = 15
9 + 15m = 12m – 1
3m = 18
9 + 6 – 15 = 15m – 12m
Answers
By solving a system of equations, we conclude that Kelli's speed on still water is 6.1km/h
How fast can Kelli swim in still water?Let's say that the speed of Kelli in still water is S. And we know that the speed of the river is 5km/h.
When she swims upstream, her velocity is:
(S - 5km/h)
When she swims downstream, her velocity is:
(S + 5km/h)
With the given information, we can write for a distance D:
(S - 5km/h)*1h = D
(S + 5km/h)*6min = D
First, let's rewrite 6 minutes into hours.
1 hour = 60min
6 min = 6/(60) hours = 0.1 hours
Then the system of equations that we need to solve is:
(S - 5km/h)*1h = D
(S + 5km/h)*0.1h = D
D is the same distance in both cases, then we can write:
(S - 5km/h)*1h = (S + 5km/h)*0.1h
Now we can solve this for S.
S*1h - 5km = S*0.1h + 0.5km
S*1h - S*0.1h = 5km + 0.5km
S*(0.9h) = 5.5km
S = 5.5km/0.9h = 6.1km/h
Kelli's speed on still water is 6.1km/h
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
Answers
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
For more such questions on Industry Average Salary
https://brainly.com/question/28947236
#SPJ8
A barometer falls from a weather balloon
at a height of 14,400 ft. If the equation
for height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the
barometer to hit the ground?
Answers
Answer:
Step-by-step explanation:
h(t) = -16t² + 14400
0= -16t² + 14400
(1/-16)×-14400=-16t²(1/-16)
900=t²
\(\sqrt{900} =\sqrt{t^{2}}\)
30=t
Hence, the time taken in seconds for barometer to hit the ground is 30.
A barometer falls from a weather balloon from a height of 14400, this means that the initial height is 14,400 ft.
How many seconds will it take for the barometer to hit the ground?
The initial height of a barometer is 14,400 ft.
After the barometer falls from a weather balloon it hits the ground and final height is 0.
So, the equation h(t)= -16\(t^{2}\)+ initial height
putting h(t)=0 which is the final height and initial height=14,400 we get,
0=-16\(t^{2}\) +14,400
16\(t^{2}\)=14,400
t=\(\sqrt{14,400/16}\)
\(t^{2}\)=900
t=\(\sqrt{900}\)
t=30
Hence, the time taken by barometer to hit the ground is 30 seconds.
Learn more about such problems
https://brainly.com/question/22673639
#SPJ2
Consider the following.f(x) = -2x4 + 13x3 – 21x2 + 2x + 8(a) List the possible rational zeros of f. (Enter your answers as a comma-separated list.
Answers
1) We need to use the Rational Roots Theorem:
\(f\mleft(x\mright)=-2x^4+13x^3-21x^2+2x+8\)So, let's write out a ratio with the possible rational roots, considering the constant term and the leading coefficient:
\(\frac{constant\:term\:divisors}{leading\:coefficient\:divisors}=\frac{\pm1,2,4,8}{\pm1,2}\)a) So the list of all possible zeros is:
\(\pm1,\pm\frac{1}{2},\pm2,\pm4,\pm8\)Note that "possible' does not mean the list of all real rational roots. We'd need to plug into the function and check
Find the compound interest on GHS 50,200 invested at 13% p.a. compounded annually for 3 years ( to the nearest
GHS).
Select one:
A. GHS 19,578
B. GHS 69,778
O
C. GHS 72,433
D. GHS 22.233
Answers
Answer:
D
Step-by-step explanation:
First found amount yielded
A = P(1+r)^nt
P is amount deposited 50,200
r is interest rate 13% = 13/100 = 0.13
t = 3
A = 50,200(1+0.13)^3
A = 50,200(1,13)^3
A = 72,433.42939999998
A is approximately 72,433.43
interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS
The school cafeteria is thinking of introducing a vegetarian pizza to the menu. Which
sampling technique would you recommend to determine which of three possible
toppings should be used? Explain your recommendation. [C -2]
4.
Answers
I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.
What is simple random sampling suitable?It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.
By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.
Read more about sampling technique
brainly.com/question/28292794
#SPJ1
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data.
Sunday 66
Monday 50
Tuesday 53
Wednesday 47
Thursday 55
Friday 69
Saturday 80
A) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. What is the P-Value? Use a 0.05 level of significance, what is your conclusion?
B) Compute the percentage of traffic accidents occuring on each day of the week. What day has the highest percentage of traffic accidents? Does this seem reasonable? Explain.
Answers
Answer:
(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.
(B) Saturday has the highest percentage of traffic accidents.
Step-by-step explanation:
(A)
The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.
The hypothesis for the test can be defined as follows:
H₀: The proportion of traffic accidents is the same for each day of the week.
Hₐ: The proportion of traffic accidents is not same for each day of the week.
Assume that the significance level of the test is, α = 0.05.
The Chi-square test statistic is given by:
\(\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}\)
Compute the values in Excel.
The expected frequency for all the days is 60.
The Chi-square test statistic value is, 14.333.
Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".
p-value = 0.0262
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
The p-value is less than 0.05.
The null hypothesis will be rejected.
Conclusion:
There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.
(B)
Compute the percentage of traffic accidents occurring on each day of the week as follows:
\(\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%\)
Saturday has the highest percentage of traffic accidents.
When n = 40, what is the value of n - 4 * 2 ?
Show work
Answers
Answer: 32
Step-by-step explanation:
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
Which expression is equivalent to 6√8 √√2?
A. 48√/2
B. 24
C. 24√2
D. 48
Answers
Answer:
\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)
B is the correct answer.
--Marking Brainliest whoever answers this first, thank you.
Question is below.
Answers
Answer:
(-4,3)
Step-by-step explanation:
Functions are points where there are no more than 1 y value for every x. points (-4,-3) and (-4,3) are points that make it not. function.
(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
Answers
not 100% sure since you didnt show us an image
we change this number 1.5=15/10=3/1 and 0.5=5/10=1/2
it will show on the number line!
The expression using subtraction to find the distance between the two jellyfish is 0.5 - (-1.5).
The distance between the two Jellyfish is 2.
We have,
The point of A on the number line: -1.5
The point of B on the number line: 0.5
Now,
To find the distance between the two jellyfish.
= B - A
= 0.5 - (-1.5)
= 0.5 + 1.5
= 2
Thus,
The expression using subtraction to find the distance between the two jellyfish is 0.5 - (-1.5).
The distance between the two Jellyfish is 2.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ3
Which algebraic expression is equivalent to the expression below
5(4x + 5) - 17
A.
20x + 9
B.
5x + 9
C.
20x + 42
D.
20x + 8
Answers
Answer:
20x + 8
Step-by-step explanation:
5*4x + 5*5 -17
20x +25 -17
20x + 8
There are 5 positive integers with the mean +5, the median = 5, and the mode = 8. What is the range of this data?
Answers
In response to the query, we have that So, depending on the precise equation choice of five positive numbers, the data range might be 5, 6, or 7.
What is equation?In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.
The five positive integers will be denoted as a, b, c, d, and e.
We know that c must equal 5, since the median is 5.
The three integers we now have add up to 15 (a + b + c = 15).
We may write the equation as follows since the mean is 5:
(a + b + c + d + e)/5 = 5
a + b + 18 = 25
a + b = 7
a = 1, b = 6, c = 5, d = 8, e = 8
a = 2, b = 5, c = 5, d = 8, e = 8
a = 3, b = 4, c = 5, d = 8, e = 8
Range = 8 - 1 = 7
Range = 8 - 2 = 6
Range = 8 - 3 = 5
So, depending on the precise choice of five positive numbers, the data range might be 5, 6, or 7.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Eight upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 7. The smallest domino, #0, is 4.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 12% taller than the one before. What is the height of domino #7?
Answers
The height of domino #7 is approximately 6.89 cm tall.
How to solve for the heightThe formula for the nth term of a geometric progression is:
\(a_n = a * r^(^n^-^1^)\)
where:
a is the first term (the height of the smallest domino, 4.00 cm),
r is the common ratio (the growth rate, 1.12), and
n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).
Let's plug these values into the formula:
\(a_8 = 4.00 cm * (1.12)^7\)
(Note that we're using 7, not 8, because the first domino is #0, not #1.)
Now, compute the value:
\(a_8 = 4.00 cm * (1.12)^7\)
= 6.89 cm
So, domino #7 is approximately 6.89 cm tall.
Read more on height here https://brainly.com/question/1739912
#SPJ1
What is the area of a square with h=3in l=5in w=6in
Answers
Answer:
30in
Step-by-step explanation:
Length x Width = Area
What is the complementary angle of CFB
Answers
Step-by-step explanation:
CFB reads as twenty five degrees
complementary angle will add to it to sum 90 degrees = sixty five degrees
angle CFD is sixty five degrees
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.
p(x) =
Answers
9514 1404 393
Answer:
p(x) = -x^2 +2x +24
Step-by-step explanation:
When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.
p(x) = -(x +4)(x -6)
p(x) = -x^2 +2x +24
Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation IJKL
Answers
According to question.
Given data,
The dilation of ABCD using centre D
And scale factor 1/3
Lebel the dilation IJKL.
With the help of figure,
The dilation of ABCD shown in the figure,
The centre of D shown in the figure,
when EFGH, IJKL are obtained from scaling factor ½,1/3 respectively,
then,
ABCD≈EFGH
and
ABCD≈IJKL
Therefore,
EFGH≈IJKL
(Quadrilaterals similar to the same quadrilateral)
To know more about the quadrilateral equation, visit
https://brainly.com/question/18269297
#SPJ1