Let x represent number of hours after noon.
We have been given that Sara starts at noon and walks at a speed of 4 miles per hour. So distance covered by Sara in x hours would be [tex]4x[/tex].
We are also told that Eddie leaves the same place an hour later. This means that Sara will be 4 miles ahead of Eddie as Sara will travel 4 miles in 1 hour.
As Eddie walks in the same direction at a speed of 5 miles per hour. So distance covered by Eddie in x hours would be [tex]5x[/tex].
Total distance covered by Sara when Eddie will start would be [tex]4x+4[/tex].
Now we will equate distance covered by both in x hours as:
[tex]5x=4x+4[/tex]
Let us solve for x.
[tex]5x-4x=4x-4x+4[/tex]
[tex]x=4[/tex]
Since x represents number of hours after noon, so 4 represents 4 hours after noon.
Therefore, Eddie will catch up with Sara at 4:00 pm and option D is the correct choice.
Answer: D
Step-by-step explanation: Is too much to explain
Can predictions be made of a scatterplot that shows no
association? Explain your answer.
I need help now please
Answer:
No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.
Step-by-step explanation:
Sample Response: No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.
Step-by-step explanation:
Question?
One angle of a triangle measures 116°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is
= 180.
The congruent angles each measure
Answer:
180 - 116 = 64 so the congruent angles measure 64/2 which is 32.
Step-by-step explanation:
Final answer:
To find the measure of the congruent angles in a triangle with one angle measuring 116°, you can use the fact that the sum of the interior angles of a triangle is 180 degrees. By solving the equation, you can calculate the measure of the congruent angles as 32°.
Explanation:
Question: One angle of a triangle measures 116°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles.
To find the measure of the congruent angles, we know that the sum of the angles in a triangle equals 180 degrees. Let x be the measure of each congruent angle, then the equation to solve is: 116 + x + x = 180. Simplify to find x.
Answer: By solving the equation 116 + x + x = 180, x = 32°. Therefore, each congruent angle measures 32°.
how much wrapping paper would you need to cover a rectangular that is 18.25 inches by 12inches by 3 inches if you need 10% more wrapping paper than the surface area of the box? give your answer to the nearest square inch
Answer: 681 square inch
Step-by-step explanation:
Hi, we have to apply the formula for the surface area:
A = 2wl + 2lh + 2hw
Where:
w: width
l: length
h: height
Replacing with the values given:
A = (2x12x18.25) + (2x12x3)+(2x18.25x3)
A= 438+72+109.25
A=619.5 in2
Since it has to be 10% more than the surface.
619.5 x (10/100) = 61.95 in2
Adding that value to the surface area
619.5+61.95 = 681.45in2 = 681 in2
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1,017.36 square feet use 3.14 for pi
Answer:
18
Step-by-step explanation:
1,017.36 is the area of the circle and you need to find the radius
area formula : 3.14rsquared
so the formula you are going to solve for your answer is 3.14rsquared=1,017.36
divide by 3.14
rsquared = 324
un square it to get you radius which is 18
you didnt clarify whether you wanted radisu or diameter so ill give both
R: 18
D:36
Answer:
The sprinkler can spread water up to 36 feet away!
Step-by-step explanation:
First, identify the formula used to find the area of a circle:
Area = pi x r^2
We already know the area that the sprinkler makes, so just plug that in! Then, we just need to reverse engineer the formula!
1,017.36 square feet = pi x r^2
1,017.36 square feet= 3.14 x r^2
1,017.36/3.14 = r^2
324 = r^2
sqrt of 324 = 18
So, we figured out that the radius of the circle is 18 feet! Now, remember the radius is just half the amount of the diameter!
18 x 2 = 36 feet
Hope this helps! :)
What is the solution to the following equation?
4(3x - 6) + 15 = 27
O2
03
04
05
Answer: [tex]x=3[/tex]
Simplify both sides of the equation
[tex](4)(3x)+(4)(-6)+15=27(Distribute)\\12x+-24+15=27[/tex]
[tex](12x)+(-24+15)=27[/tex](Combine Like Terms)
[tex]12x+-9=27[/tex]
Add 9 to both sides
[tex]12x-9+9=27+9\\12x=36[/tex]
Divide both sides by 12
[tex]12x/12=36/12\\x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
Pull out like factors : 3x - 6 = 3 • (x - 2)
step 2 : (12 • (x - 2) + 15) - 27 = 0
Pull out like factors : 12x - 36 = 12 • (x - 3)
step 4 : 12 • (x - 3) = 0
Solve : x-3 = 0
x = 3
What is the answer to 3x - 18?
Answer:
3(x-6)
Step-by-step explanation:
i love math
Answer:
3(x-6)
Step-by-step explanation:
Rewrite 18 as 6x3
3x-3x6
Factor out x from 3
3(x-6)
The interior angles of a hexagon are (2x+17)0, (3x - 25)0, (2x+49)0,
(x+40)0, (4x-17)0 and (3x - 4) 0.
i. Find the value of x.
ii. Find the smallest interior angle of the quadrilateral.
iii. Find the largest exterior angle of the quadrilateral.
iv. Find the largest exterior angle of the quadrilateral.
Answer: a) x= 68, b) 108°, c) 72°, d) 255°.
Step-by-step explanation:
Since we have given that
The interior angles of hexagon:
(2x+17), (3x - 25), (2x+49), (x+40), (4x-17) and (3x - 4).
So, it becomes :
[tex]2x+17+3x-25+2x+49+x+40+4x-17+3x-4=1080\\\\15x+60=1080\\\\15x=1080-60\\\\15x=1020\\\\x=68[/tex]
ii. Find the smallest interior angle of the quadrilateral.
[tex]x+40=68+40=108^\circ[/tex]
iii. Find the largest exterior angle of the quadrilateral.
[tex]180-108=72^\circ[/tex]
iv. Find the largest interior angle of the quadrilateral.
[tex]4x-17=4\times 68-17=255^\circ[/tex]
Hence, a) x= 68, b) 108°, c) 72°, d) 255°.
The current student population of the Brentwood student center is 2000 the enrollment at the center increases at a rate of 4% each year to the nearest whole number what will the student population be close to in three years
Answer:
Step-by-step explanation:
Find the 4% of the 2000.
Then, add it to the 2000.
Keep adding the 4% which is 0.8 to the new sum until you get up to the third year and there you go!
Hope this help you!
which choice correctly shows the solution(s) of the equation x2=121?
Answer:
x = ±11
Step-by-step explanation:
x^2 =121
Take the square root of each side
sqrt(x^2) = ±sqrt(121)
x = ±11
Answer:
x=±11
Step-by-step explanation:
To solve, we need to isolate the variable x,
To do this, take the square root of both sides
[tex]x^{2} =121\\\sqrt{x^{2} } =\sqrt{121}[/tex]
x=±11
It is positive or negative 11 because 11^2 (11*11)=121, but -11^2 (-11*-11) also equals 121 because 2 negatives multiplied become a positive.
NEED HELP!!!
What is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1+
2?
f(x)= x2 – 2x-1
f(x)=x2 - 4x2 + 2x +2
f(x)= x° - 4x2 + 3x + 2
f(x)= x2 + 2x-1
Answer:
f(x)=x2 - 4x2 + 2x +2
Step-by-step explanation:
If c is a positive real number, then the graph of
f(x – c) is the graph of y = f(x) shifted to the right
c units.
Horizontal Shifts
If c is a positive real
number, then the
graph of f(x + c) is
the graph of y = f(x)
shifted to the left
Based on the information marked in the diagram, triangle FGH and triangle JKL must be congruent.
A. True
B. False
Answer: true
Step-by-step explanation: I took the test
Can anyone help me with this? I will mark you as brainliest
Step-by-step explanation:
[tex] \frac{ {5}^{3} }{ {5}^{7} } [/tex]
[tex] \frac{1}{ {5}^{7 - 3} } [/tex]
[tex] \frac{1}{ {5}^{4} } [/tex]
or
[tex] {5}^{ - 4} [/tex]
Hope it will help :)
Answer:
0.0016
Step-by-step explanation:
[tex]\frac{5^{3}}{5^{7}}=5^{3}:5^{7}=5^{3-7}=5^{-4}=\frac{1}{5^{4}}=\frac{1}{625}=0.0016[/tex]
Explain how you can multiply to find equivalent fractions.
Please explain good.
Answer/Step-by-step explanation:
Multiplying similar fractions is the same as multiplying any other fractions. First, multiply the 2 numerators, and do the same for the denominators. The outcome of such will be: numerator solution/denominator solution.
I hope this helped!
~ Penny
listen
3. Use the data set and dot plot below. Jerome studied the feather lengths of
some adult fox sparrows. How long are the longest feathers in the data set?
Fox Sparrow Feather Lengths (in inches)
21 21 : 2
2
.
21
Fox Sparrow Feather Lengths
2
1
2
2
1 2 2
Length (in inches)
CA. 22 inches
B. 21 inches
OC. 2 inches
D. 2 inches
Answer:
2020?
Step-by-step explanation:
Answer: d 2 3/4
Step-by-step explanation:
Which rational number represents a decrease in water level from 8 feet to 6 feet???
A. 6
B. 2
C. -2
D. -6
Answer:
C) -2
Step-by-step explanation:
8 + (-2) = 6
Answer the picture given and form your answer it shall help me solve B. and C. ^^!!
Answer:
Step-by-step explanation:
[tex]2(m+10p)\\\\2m+20p[/tex]
The first one uses the distributive property, after which you have the second expression. She runs two miles per day (one in the morning and the other in the evening) and she does 20 push-ups per day (a set of 10 in the morning and a set of 10 in the evening). m represents miles and p represents push-ups.
[tex]2(m+10p)\\2(m)+2(10p)\\2m+20p[/tex]
Evaluate each logarithm. Round your answer to the nearest ten thousandth.
1. Log5 15
2. -3ln(1/e4/5)
Answer:
1. 1.685
2. 16.828
Step-by-step explanation:
1. log_5 15
To evaluate this logarithm you use the following formula:
[tex]Log_ab=\frac{log_{10}b}{log_{10} a}[/tex]
by replacing you obtain:
[tex]log_5 15=\frac{log_{10} 15}{log_{10}5}=\frac{1.176}{0.698}=1.685[/tex]
hence, the answer is 1.685
2. -3ln(1/e4/5)
to solve this logarithm you use the following properties:
[tex]ln(a^m)=m\ ln(a)\\\\ln(\frac{a}{b})=ln(a)-ln(b)\\\\ln(e^m)=m[/tex]
[tex]ln(1)=0[/tex]
By applying all these properties you obtain:
[tex]-3ln(\frac{1}{\frac{e^4}{5}})=-3[ln(\frac{1}{e^4})-ln(5)]=-3[ln(1)-ln(e^4)-ln(5)]\\\\-3ln(\frac{1}{\frac{e^4}{5}})=-3[0-4-1.609]=16.828[/tex]
hence, the answer is 16.282
consider the exponent function f(x)=(15^x). what is the value of the growth factor or the function?
a) 1/5
b) 1/3
c) 5
d) 15
pls help!!
For the month of April which option would be better? 1. To be gifted $1,000,000 once only on April 1st. OR 2. To receive a penny on April 1st and then double that amount on April second and then each day of the month after that you receive double the amount you got the day before? For this option show how much you get each day of the month and then how much it adds up to for the whole month. a.) Would there be a way to get the total without adding each amount for the 30 days? Please describe with detail. b.) Which tools, diagrams, or methods best helped you figure this out? Be honest.c) On your first instinct, before figuring this out, which option did you expect to be the best?
Answer:
a.) April has 30 days
If you for option No.2, you would have:
[day, amount($)]
1, 0.01
2, 0.02
3, 0.04
4, 0.08
5, 0.16
6, 0.32
7, 0.64
8, 1.28
9, 2.56
10, 5.12
11, 10.24
12, 20.48
13, 40.96
14, 81.82
15. 163.48
16, 327.68
17, 655.36
18, 1310.72
19, 2621.44
20, 5242.88
21, 10,485.76
22, 20,971.52
23, 41,943.04
24, 83,886.08
25, 167,772.16
26, 335,544.32
27, 671,088.64
28, 1,342,177.28
29, 2,684,354.56
30, 5,368,709.12
Option 2 grants you more than 5 times as much as Option A and is therefore obviously better.
b.) A diagram would show first a slow rise, than a steeper and steeper rise, then would almost growvertically. exponential growth
#coronatime
The most elegant form to describe the given numbers would simply be
$=1*2^x
You start with one, eich doubles after a day (x=1). x is the number of days and how often you multiply by 2
c.) Wasn't sure without calculating, but I guessed Opt.2, because it seemed that one should be tricked into choosing Opt.1
Have a nice day
Brainliest would be appreciated
If there are questions left, feel free to ask them
Prediction: It rains 2 out of the last 12 days in March. If this trend continues, how many rainy days would you expect in April?
Answer:
I would expect rain 5 days
Step-by-step explanation:
Please kindly see the attached files for explanation.
Kaitlyn borrowed $19,000 from her mother to buy a car. She will repay the loan at the end of 5 years at 5% interest compounded annually. Find the amount she will repay.
Answer:
The amount repay the end of 5 years= $24,249.35
Step-by-step explanation:
S=P(1+i)^n
S=19000(1+0.05)^5
S=24,249.05
i=0.05/1
n=5
20] Daseu ullule experiment, what is the probability of February mo
true regarding the number of
26] Based on the experiment, if a month is selected 300 times, which state
times you would expect to select a month that starts with the letter J
A. 60 times; 15 more than theoretically expected
B. 60 times; 15 less than theoretically expected
C. 45 times; 5 more than theoretically expected
D. 45 times; 5 less than theoretically expected
Solve |4x – 3| = –1
Question 8 options:
A)
x = 4
B)
x = –4 or x = –3
C)
x = 4∕3
D)
No solutions
Answer:
D) No solutions
Step-by-step explanation:
|4x – 3| = –1
There are no solutions
Absolute value means positive ( or zero)
It cannot be negative
Sonia asked ten friends to pick a number between one and twenty. The picks are listed below. 15, 17, 12, 19, 10 ,12, 16, 8, 13, 19 What is the mean absolute deviation of the numbers?
Is that an accurate line of best fit?
A.Yes
B.No
I really need help !!!!!!
Answer:
yessssss
Step-by-step explanation:
hope this helps
Answer:
yes
Step-by-step explanation:
it is because its going straight throught the points
A car is moving at a constant acceleration of 7.0 m/s/s. How fast (velocity) is it going after 4.0 seconds, if it starts from rest.? Show work using ESA format.
28 m/s is the velocity , when it is going after 4.0 seconds.
What is Acceleration?When a point or an object moving in a straight line , the acceleration is the rate at which velocity changes with time, in terms of both speed and direction.
Here, given that,
A car is moving at a constant acceleration of 7.0 m/s/s
Now, we have,
Velocity = acceleration * time
After 4 sec. = 7*4 = 28 m/s
Hence, 28 m/s is the velocity , when it is going after 4.0 seconds.
To learn more on Acceleration click:
brainly.com/question/2303856
#SPJ2
Write the equation of a line that is parallel to y=9 and that passes through the point (3,-8). Please help this is due soon
Answer:
Slope of the given line y=9 is zero
so the slope of the required line is also zero.
m=0
Using point- slope form
y-y1 = m (x -x1)
y + 8 = 0 ( x - 3)
y + 8 = 0
y = - 8
A rhombus is a parallelogram with
Answer:
four congruent sides
A rhombus is a parallelogram with four congruent sides .
Help Plz! Sam has to read a 144-page book for his literature class.He has 8 days to finish it.He wants to read about the same number of pages each day.How many pages per day must he read to finish the book in 8 days?
Answer:
18 pages per day
Step-by-step explanation:
Take the number of pages in the book and divide by the number of days he has to read to determine the number of pages per day
144/8 =18 pages per day
[y = 4x] [3x - y = 1] *
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
Answer: 3(-1) - 4(-1) = 1.
We are given that y = 4x and the equation is 3x - y = 1.
We need to evaluate.
3x - y = 1
||
\/
3x - 4x = 1.
To make the equation true, x = -1.
||
\/
3(-1) - 4(-1) =
-3 minus -4 = 1.
Final answer:
Explains how to solve a system of two linear equations by substitution.
Explanation:
The provided equations are:
y = 4x
3x - y = 1
To solve the system of equations, we can substitute the value of y from the first equation into the second equation:
Substitute y = 4x into 3x - y = 13x - 4x = 1-x = 1x = -1Substitute x = -1 back into y = 4x to find yTherefore, the solution is x = -1 and y = -4.