Two runners start from the same point at the same time. They will be 4 miles apart at the end of two hours if running in the same direction, and they will be 16 miles apart at the end of one hour if running in opposite directions. Find their speeds.
Answer:
runner 1 runs with 9 miles / hour
runner 2 runs with 7 miles / hour
Step-by-step explanation:
x = speed of runner 1
y = speed of runner 2
2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles
2x - 2y = 4
x - y = 2
x = y + 2
1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16
x + y = 16
y + 2 + y = 16
2y + 2 = 16
2y = 14
y = 7 miles / hour
x = y + 2 = 9 miles / hour
Don't be rude. Answer the questoin .
Answer:
Step-by-step explanation:
3. sin^2A + cos^2A = 1 (formula )
1 + tan^2 theta = sec^2 theta (derived from the formula sec^2 theta - tan^2 theta )
b.2x = 12 (by comparing the corresponding element)
x = 12/2
x = 6
3y = 12 (by comparing the corresponding element)
y = 12/3
y = 4
mean = sum of data / no of data
4+7+5+9+11+6 / 6
42 / 6
7
mean = 7
to find median arrange the data from ascending to descending order (from smallest to biggest)
data = 3,4,6,8,10,12
median = (N +1)/2 (N means no of data )
=6 + 1/2
=7/2
=3.5
=3 th term + 4 th term /2
=6 +8 / 2
=14/2
=7 median = 7
to find value of theta
90° + 50° + theta = 180° (sum of interior angles of a triangle)
140° + theta = 180°
theta = 180° - 140°
theta = 40°
therefore theta = 40°
Hope this helps u !!
Solve
7x - 3x - 8 = 24
Answer:
x = 8
Step-by-step explanation:
Factor:
7x - 3x = 4x
24 + 8 = 32
32 ÷ 4 = 8
---------------------------------------------------------------------------------------------------------------
Double check:
56 - 24 - 8 = 24
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:
x = 33 / 4
Given :-
7x - 3x -9 = 24
We have to find
The value of x .
Step-by-step explanation:
Let's begin:-
7x - 3x -9 = 24
Step 1 :- Combine like terms.
4x - 9 = 24.
Step 2 :- Move constant to the right-hand and change their sign.
4x = 24 + 9.
Step 3 :- Add 24 and 9.
4x = 33
Step 4 :- Divide both side by 4.
4x / 4 = 33 / 4
Hence, x = 33 / 4
Find the volume of this sphere.
Use 3 for TT.
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Very sry to tell that I really don't know it...
Will give BRAINLIEST to the correct answer!!!
Find the values of sin 0, cos 0, and tan 0 for the given right triangle. Give the exact values.
Answer:
the length of adjacent =√25²-24²=√49=7
sin 0 = 24/25
cos 0 = 7/25
tan 0 = 24/7
It costs a homeowner $4.00 to rent a set of hand tools, plus an additional
$2.00 per hour for the rental. The function that models the cost, c, of renting
tools for h hours is c = 2h + 4.
On a piece of paper, graph the function. Then determine which answer choice
matches the graph you drew.
Answer:
The correct graph answer is A.
Step-by-step explanation:
Let
c ----> the total cost to rent a set of hand tools
h ----> the number of hours for the rental
we know that
The linear equation that represent the problem is equal to
---> this is the equation of the line into slope intercept form
where
the slope m is equal to
m=$2 per hour
b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)
therefore
The correct graph is A.
B. C. and D. are incorrect
Help please I’ve been stuck here for hours on this problem would really appreciate it so much. Can’t figure out those two blanks
Please answer 8,9, and 10!!
Answer:
260,
43.73,
34.28
Step-by-step explanation:
8. Triangle's base is 10, height 4.
10 * 4 = 40
40/2 = 20
24 * 10 = 240
240 + 20
= 260
9. Radius 3.
πr²
9π
12 * 6 = 72
72 - 9π
≈43.73
10. Semicircle has a radius of 2.
2²π
4π
4π/2 = 2π
≈6.28
6.28 + 28 = 34.28
≈34.28
8. It has Triangle embedded to a Rectangle
Area of Figure =Area of Triangle + Area of Rectangle
Area of Triangle = ½ base x height
= ½ x 10 x 8 =40
Area of Rectangle= 24 x 10 =240
TOTAL AREA OF FIGURE = 240 + 40 = 280
9.
Its a rectangle with a Circle in the Middle
Area of Shaded Region would be
Area of Rectangle – Area of circle
Area of Rectangle = 12 x 6 =72
Area of Circle = πr² = π x 3² = 28.27
AREA OF SHADED REGION= 72 - 28.27
=43.73in².
10.
The shape contains a semicircle on a rectangle
Area of the shape = Total Surface Area of semicircle + Area of a Rectangle
Total Surface Area of a semi circle=2πr²
Diameter was given = 4cm
Radius = Diameter/2 = 4/2 = 2cm
= 2 x π x 2² = 25.13cm²
Area of rectangular part = 4 x 7 =28cm²
AREA OF FIGURE = 25.13 + 28 =53.13cm².
Pls notify me if there are any Mistakes.
Have a great day!
How many solutions are there to the equation below?
6x + 35 + 9x = 15(x + 4) - 25
A. O
B. Infinitely many
C. 1
Answer:
Đáp án B
Step-by-step explanat
B1:X ét VT=15x +35(1)
B2Xét VP thấy 15x +35 (2)
B3 KL
Given the diagram below, what is son (30)
Sin (30) = 1/2
Option B is the correct answer.
Step-by-step explanation:
[tex] \sin(30) = \frac{1}{2} [/tex]
here try to figure out this problem
Answer:
2
Step-by-step explanation:
2 is the slope, it's going up 2, and right 1 which is 2/1 or just 2
Hope this helps
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of peanuts and 0.625 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer:
About 1.09 kilograms of cashews.
Step-by-step explanation:
You would add the peanuts and almonds together and subtract by the total.
he tables for f(x) and g(x) are shown below.
x
f(x)
–5
–11
–2
1
1
13
5
29
x
g(x)
–5
–7
–2
–1
1
5
5
13
What is the value of (f – g)(5)?
–18
–4
16
42
Answer:
[tex](f - g)(5) = 16[/tex]
Step-by-step explanation:
Given
See attachment for tables
Required
[tex](f - g)(5)[/tex]
This is calculated as:
[tex](f - g)(5) = f(5) - g(5)[/tex]
From the table, we have:
[tex]f(5) = 29;\ \ g(5) = 13[/tex]
So:
[tex](f - g)(5) = 29 - 13[/tex]
[tex](f - g)(5) = 16[/tex]
Answer:
Keep it simple: 16
Step-by-step explanation:
1. Brad spent $1,200 on a credit card this
month. The credit card charges 24.77%
interest compounded continuously. If
Brad does not have to pay any monthly
minimums and makes no payments, how
long will it take until Brad owes the
credit card company $2,400?
Answer:
about 3 years
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
Given
Amount A == $2400
Principal P = $1200
rate = 24.77% = 0.2477
Substitute the given values
2400 = 1200(1+0.2477)^t
2400/1200 = (1+0.2477)^t
2 = (1+0.2477)^t
ln 2 = tln1.2477
t = ln2/ln1.2477
t = 3.13
Hence it will take about 3 years until Brad owes the credit card company $2,400
someone please help me!! will mark brainliest :)
Answer:
hi
Step-by-step explanation:
i'll happy to help you but there isn't question
have a nice day
Answer:
If you make another question, with the picture, i will help you!
Step-by-step explanation:
Have a nice day/night!
a)gc
b)a..f
c)bc
d)ed
which one please help
Answer:
b
Step-by-step explanation:
Answer:
b......................
Step-by-step explanation:
.
Help!! Stuck on math problem!
Fast answers are appreciated, thanks :)
The graph of the function has a vertical asymptote of x = ______
The graph of the function has a horizontal asymptote of y = ______
A squash ball is thrown from the top of a building and falls to the ground below. The height of the ball above the ground is approximated by the relation h=-6t^2+24t + 30, where h is the height above the ground in metres and t is the elapsed time in seconds. Determine the maximum height that is reached by the ball. Show all your work.
Step-by-step explanation:
the answer is 6 ft and all my workings are in the image above
a cylinder has a height of 50 cm and a diameter of 10 cm calculate the surface area of the cylinder if it is closed
the area of the cylinder is 500 cm
Please help!!
A diameter is 22 feet. What is the radius?
Answer:
11, take 22 and divide by 2 because radius is half
Step-by-step explanation:
hope this helps
Answer:
r = 11 ft
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 (d)
r= 1/2 (22)
r = 11 ft
Drag the right word to the word that means the opposite
multiply
Answer:
divide is the right and exact antonym(opposite word) from multiply according to maths.
Step-by-step explanation:
this is 100% correct!
Answer:
divide
hope this helps you.
is 8/3 a rational number
Answer:
Yes, it is a rational number
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Hope it is helpful....Green paint is made by mixing yellow and blue. white paint in the ratio 2:7 . how much blue paint is needed to make 64 liters of green paint
Answer:
Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint? Therefore, the required blue paint = 12.8 litres
Step-by-step explanation:
In the diagram, the measure of angle 9 is 85°.
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.
Which angle must also measure 85°?
Angle2
Angle5
Angle11
Angle12
Answer:
Angle 5 (corresponding angle)
Answer:
B.
Step-by-step explanation:
What is the chance of landing on a section that is NOT red when spinning the spinner below?
- 25%
- 75%
- 6/8
- 2/8
Answer:
75%
Step-by-step explanation:
There are 8sections. Each section carries 12.5%. There are two red sections which carries 12.5*2=25%. Hence the chance is 75%.
PLEASE HELPPPPPPPPPPPPPPPPPPPP ME
Answer:
Step-by-step explanation:
We can use a proportion to solve this problem
26.5 : 100 = x : 7600
x = (26.5 * 7600)/100 = $2014 (increase in dollars)
Year - end amount = 7600 + 2014 = $9614
differentiate between interest and interest rate
Answer:
Interest:Interest is the cost of borrowing money, and the money you earn from your savings.
Interest rateInterest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)
❤◍ jess bregoli ◍❤#keep learning!!
10 points!!!!!
1-16 please finish quickly
the question is blurry for me take a picture of that again
Hi, I need help with this question. Here is the question: For which data set is the median greater than the mean?
(1) { 4,7,10,13,16} (3) {8,9,10,11,12}
(2) {8,9,10,18,19} (4) {1,2,10,11, 12}
Please give me the answer(the method used for this problem) and an explanation.
Answer:
Set 2
Step-by-step explanation:
First find the median of each set (the median being the number in the middle):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 10
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 10
Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 12.8
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 7.2
the answer being 12.8 since 12.8 is greater than 10
(4) {1,2,10,11, 12}
Answer:
Solution given:
1:
{ 4,7,10,13,16}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={ 4+7+10+13+16}/{5}=10
(2)
{8,9,10,18,19}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+18+19}/{5}=12.8
3) {8,9,10,11,12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+11+12}/{5}=10
(4) {1,2,10,11, 12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={1+2+10+11+13}/{5}=7.4
In above
1: mean=median
2:mean>median
3:mean=median
4:mean<median
so median is greater than mean is in 4th one.
(4) {1,2,10,11, 12}
High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answer: C. Region C
Step-by-step explanation: Done on edge! Hope this helps!