Answer:
a. 46.89 mph
b. 0.781 mi/min
c. 4126.22 ft/min
d. 68.77 ft/s
e. 1.28 min/mi
Step-by-step explanation:
a. Miles per hour
1. Convert 4 hours and 30 minutes into hours (4.5 hours).
2. Divide the distance traveled by the new time.
MPH = 211 mi / 4.5 hours = 46.89 mph
b. Miles per minute
1. Convert 4 hours and 30 minutes into minutes: (4*60+30) = 270 minutes
2. Divide the distance traveled by the new time
MPM = 211 mi / 270 min =0.781 mi/min
c. feet per minute
1. Use the converted time from part b (270 minutes)
2. Convert the distance traveled from miles to feet: (211*5280=1114080 ft)
3. Divide the converted distance by the converted time
ft/min = 1114080 ft / 270 minutes = 4126.22 ft/min
d. feet per second
1. Convert the time into seconds (270 minutes * 60 sec/min) = 16200 sec
2. Use the converted distance from part c (1114080 ft)
3. Divide the converted distance by the converted time
ft/s = 1114080 ft / 16200 sec = 68.77 ft/s
e. minutes per mile
1. use the converted time from part b (270 minutes)
2. divide the time by the distance traveled
minutes/mi = 270 min / 211 mi = 1.28 min/mi
The two interior opposite Angel's of a triangle are 60° and 80°. Find the measure of the exterior angle.
let the exterior angle be x
x=60°+80°(being one exterior angle is equal to two interior angle)
x°=140°
How do you add decimals? I need 2 Examples (not from the internet)
well These are the Images on how to add decimals.
Factoring polynomials
Answer:
(k-1)(9k^2+1)
The triangles shown below must be congruent.
False
True
Answer:
true. They are the same shape and same size.
Step-by-step explanation:
A square has an area of 82 cm. The length of its side is
Answer:
a≈9.06
Step-by-step explanation:
Using the formula
A=a2
Solving fora
a=A=82≈9.05539
Hello!
Formula for the Area of a Square:
[tex]\bf{A=a^{2}[/tex]
A = area
a = the length of a side of a square
Since we have the area, all we have to do to determine the side length is take the square root of both sides:
[tex]\bf{\sqrt{82} =\sqrt{a^{2} }[/tex]
Solve:
[tex]\bf{\sqrt{82} =a[/tex]
[tex]\bf{a=\sqrt{82}[/tex]
[tex]\bf{a=9.06}[/tex]
Final Answer:
a≈9.06
I hope it helps you.
Good luck and enjoy your day!
-SnowFlake
Solve the equations x+y=300 and 12x+15y=4,140. Enter the values of x and y in the boxes below.
Answer:
[tex]\left \{ {{x=\frac{4496}{3} } \atop {y=-\frac{3596}{3} }} \right.[/tex]
Step-by-step explanation:
Solve: [tex]x+y=300\\12x+15y=4\\12x+15y=4[/tex]
↓
[tex]x=\frac{4496}{3}\\y=-\frac{3596}{3}[/tex]
I hope this helps you
:)
On Tuesday, you invited 2 friends to your party. On Wednesday, each of these friends invited 2 other friends. This pattern continued Thursday and Friday. How many people were invited in all?
Answer: 8 people in total
Step-by-step explanation:
If you have two friends at a party and they invite two friends that is 4 people if another two people invited two more people that’s another 4 people add 4 and 4 8 people were invited in total
find the slope given points (3,2) (4,7)
Answer: The slope is 5.
Step-by-step explanation: Use formula: (y2-y1)/(x2-x1)
(7-2)/(4-3)
5/1 = 5
Have a nice day! :)
solve for x
:)
lol
tysm
Answer:
x = 15
Step-by-step explanation:
4x + 2 + 58 + 60 = 180
4x + 120 = 180
4x = 60
x = 15
Answer:
x = 15
Step-by-step explanation:
=> (4x+2)°+60°+58° = 180° { angle sum property }
=> 4x+2+118 = 180
=> 4x +120 = 180
=> 4x = 180-120
=> x = 60/4
=> x = 15
PLEASE HELPP!! 8th grade
Answer:
i think its 11.7Step-by-step explanation:
Answer:
use pythag theorum you get 11.7 i thinkkk
Step-by-step explanation:
Try creating a triangle using the length of x and the length of y, so, you can tell the line goes from -5 to 5 on the x axis so that means its 10 long on x and 0 to 6 on y axis so its 6 long on y... then create a triangle and use the pythagorean theorem (the square root of (10 squared + 6 squared) which is around 11.7 .... i think, hope that helps! -prowl
SORRY THIS IS MY FIRST TIME ANSWERING A QUESTION ON HERE. I PUT IT IN THE WRONG PLACE THE FIRST TIME LOL
Ya'll FR get 50 points if you answer this question :p
Answer:
m/s
Step-by-step explanation:
distance d is measured in meters (m)
time t is measured in seconds (s)
⇒ s = d/t
⇒ s = m/s
I need help with bisectors
Answer:
m∠ABC = 65° as both m∠ABC is similar to m∠DBC
Explanation:
notice: the two signs on top of the angles which refers to them being similar.
Solve for x.
5x/−6 = −40/3
Enter your answer in the box
Answer:
[tex]x = 16[/tex]
That's your answer
Answer:
5x/_6 =_40/3(cross product)
after,15x/15=240/15
x=16
Use the algebra tiles to help you solve the equation 2x - 4 + 14 . What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
Answer:
[tex]2*2[/tex] ← equals 4
[tex]-4[/tex] ← equals 0
[tex]+14[/tex] ← equals 14
↑ This equation means multiply 2 by itself one time, subtract 4, and add 14. Let's find the value.
Therefore,
the value is 14. Result may vary with x. There are ways to factorize this, but I did not want to confuse you. [tex]:)[/tex]
720 students were asked how they travelled to school. The pie chart shows the results of this survey; Find a how many of the students travelled to school by bus. b. how many students travelled on foot. Cycle 20 32° Bus 56 Foot Train 48°
120 of the 720 students travelled on foot
What is a pie chart?
A pie chart is a graph or chart that graphically represents data in a circle with each pie slice showing the size of data.
From the pie chart attached, the proportion of students that walked is 60°, hence for 720 students:
Number of those who travelled on foot = (60 / 360) * 720 = 120
120 of the 720 students travelled on foot
Find out more on pie chart at: https://brainly.com/question/25796636
A manufacturer produces 400 units when the market price is $10 per unit and produces 600 units when the market price is $12 per unit. Using the midpoint method, for this range of prices, the price elasticity of supply is about.
Answer:
your answer is $1,022 that is the answer
pls pls help
Slope-Intercept Form
Answer:
y=(2/3)×-4
Step-by-step explanation:
4y(8/3)×-16 <-----divides everything by 3
Find the distance between the points ( – 8, – 4) and (3, – 9). If necessary, round your answer to the nearest tenth.
Your distance would be [tex]\sqrt{146}[/tex]
A sphere has a radius of 2 inches. What is the approximate volume of half of the sphere?
Volume:-
[tex]\\ \rm\Rrightarrow V=\dfrac{4}{3}\pi r^3[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{4}{3}\pi (2)^3[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32\pi}{3}in^3[/tex]
Half volume:-
[tex]\\ \rm\Rrightarrow V=\dfrac{16\pi}{3}in^3[/tex]
Answer:
16.8 in³ (nearest tenth)
Step-by-step explanation:
Volume of a sphere
[tex]V=\dfrac43 \pi r^3[/tex]
(where V is volume and r is the radius)
Volume of a hemisphere
[tex]\textsf{Volume of a hemisphere}=\dfrac12 \ \textsf{Volume of a Sphere}[/tex]
[tex]\implies V=\dfrac12 \cdot \dfrac43 \pi r^3=\dfrac23 \pi r^3[/tex]
Given:
r = 2 in[tex]\begin{aligned}\implies V & =\dfrac23 \pi (2)^3\\\\ & =\dfrac{16}{3} \pi\\\\ & =16.8 \ \sf in^3 \ (nearest \ tenth)\end{aligned}[/tex]
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is the first year the f(x) height is greater than the g(x) height? (2 points) Group of answer choices Year 0 Year 1 Year 2 Year 3
Answer:
Year 2
Step-by-step explanation:
have a great day !!!
the cost of a home is finaced with a $120,000 30-year fixed rate mortage at 4.5%
Answer:
$162,000
Step-by-step explanation:
4.5 of 120,000 is 5400
multiply 5400 by 30 and you get your answer.
The polygons are regular polygons. Find the area of the shaded region.
Answer:[tex]194.8557 in^2[/tex]
The side of a regular hexagon is congruent with the radius of the circle the hexagon is inscribed with. That makes the two triangles in red and green (lines are a bit offset for clarity) equilateral. At this point it's easy to compute the area of an equilateral triangle known the side length l, which is [tex]A = \frac12 l (l\frac{\sqrt3}2) = \frac{\sqrt3}4 l^2[/tex] At this point, the area of the shaded region of one triangle making up the hexagon is obtained by difference (area of the red triangle, minus area of the white:
[tex]A=A_r-A_w = \frac{\sqrt3}4 10^2 -\frac{\sqrt3}45^2 = \frac{\sqrt3}4(10^2-5^2)=\frac{\sqrt3}4\times 75\approx 32.47595[/tex]
The area of the whole shaded region, is 6 times that, or [tex]194.8557[/tex]
With tasselation:
Join the midpoint of the side of the external hexagon with the end points of the corresponding side of the inner hexagon. You have now created four equilateral squares which are congruent. (yes, my drawing skills are terrible)
The shaded region is made of 18 triangular tiles, each having an area of (see above formula) [tex]\frac{\sqrt3}4\times 5^2 = 18.8253[/tex], for a total of, again, 194.8557 square inch.
elect the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -22 x y -8 -11 -2 -5 1 -2 7 4 The first equation of this system is y = x. The second equation of this system is y = x − . The solution to the system is ( , ).
Answer:
First equation: y = -2x
Second equation: y = 3 - x
Solution: (1, -2)
Step-by-step explanation:
Assuming the ordered pairs of the tables are:
Table 1
(-5, 10) (-1, 2) (0, 0) (11, -22)
Table 2
(-8, -11) (-2, -5) (1, -2) (7, 4)
To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.
[tex]\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}[/tex]
[tex]\textsf{point-slope form : }y-y_1=m(x-x_1)[/tex]
Equation 1
[tex]\textsf{slope }m=\dfrac{2-10}{-1+5}=-2[/tex]
[tex]y-0=-2(x-0)\\\\\implies y=-2x[/tex]
Equation 2
[tex]\textsf{slope }m=\dfrac{-5+11}{-2+8}=1[/tex]
[tex]y+11=1(x+8)\\\\\implies y=x-3[/tex]
Solution to the System
Equate the equations and solve for x:
-2x = x - 3
⇒ 0 = 3x - 3
⇒ 3x = 3
⇒ x = 1
Substitute found value of x into one of the equations and solve for y:
y = 1 - 3 = -2
Therefore, the solution is (1, -2)
The equations are given as follows:
First equation : y = -2 xSecond equation : y = x - 3Solution of the given system of equations is (1, -2).An equation is a combination of expressions that are equal to each other.
The ordered pairs of the tables are as follows:
Table 1:
(-5, 10), (-1, 2), (0, 0), (11, -22)
Table 2:
(-8, -11), (-2, -5), (1, -2), (7, 4)
To obtain the first equation, pick any two ordered pairs.
The slope of the equation is given as:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let's pick ordered pairs (-1, 2) and (0, 0) to find the slope of the equation.
Then,
[tex]m = \dfrac{0-2}{0-(-1)}\\m = \dfrac{-2}{1}\\\\m = -2[/tex]
So, the first equation in the point-slope form is given as follows:
[tex]y-y_1= m({x-x_1})[/tex]
Substitute [tex](x_1,\ y_1)[/tex] by (0, 0) and m by -2,
y - 0 = -2(x - 0)
y = -2x
Similarly, the slope of the second equation is obtained as follows:
[tex]m = \dfrac{-5-(-11)}{-2-(-8)}\\m = \dfrac{6}{6}\\\\m = 1[/tex]
So, the second equation in the point-slope form is given as follows:
y - (-11) = 1(x - (-8))
y + 11 = x + 8
y = x - 3
To solve this system of equations, let's equate the right-hand sides of both equations:
-2x = x - 3
-2x -x = -3
-3x = -3
x = 1
Substitute this value of x in the first equation,
y = -2 × 1
y = -2
So, the solution is (1, -2).
Therefore, the blanks are filled in by the numbers -2 and 3. The solution of the system of equations is (1,-2).
Learn more about Equations here:
https://brainly.com/question/28953876
#SPJ3
Hey! Can anyone help me out with this? (It's Khan)
Answer:
Step-by-step explanation:
Like terms have same variable with same exponent
[tex]\dfrac{-4}{7}p+(\dfrac{-2}{7}p)+\dfrac{1}{7}= \left(\dfrac{(-4)+(-2)}{7} \right)p+\dfrac{1}{7}[/tex]
[tex]=\dfrac{-6}{7}p+\dfrac{1}{7}[/tex]
help with homework please! due in 10 mins question in attachment
Find the value of a 00 47 1
[tex] \qquad \huge \underline{ \boxed{\sf Answer}}[/tex]
The given angles form linear pair, so their sum equals to 180°
[tex] \qquad \dashrightarrow \sf \:x + 47 = 180[/tex]
[tex] \qquad \dashrightarrow \sf \:x = 180 - 47[/tex]
[tex] \qquad \dashrightarrow \sf \:x = 133 \degree[/tex]
I hope it helps ~
ᎪꪀsωꫀᏒ
=> x = 133°Step-by-step explanation:
=> x+47° = 180° { linear pair }
=> x = 180°-47°
=> x = 133°
The table provides various values, including all minimums and maximums, of a cosine function f(x) on the interval [0, nt).
Answer:
pi
Step-by-step explanation:
Function is starting from 1 at 0 and then ending at 1 when x value is π.
so total period is π
How can you use formulas you already know to find the area and perimeter of a composite figure? The six lane track shown in the made up of a rectangle. Terminology and helpful formulas: A straightway is the non curved section of the track. In this specific track each straightaway is 85.0 meters long. Area of rectangle: A=l w. Area of circle A=r2 Circumference C=2r. In the straightaways, each lane is rectangle. What is the area and perimeter of each lane in the straightaways?
Answer:
UR IC IS TOO BLURRY
Step-by-step explanation:
The top of a cube has an area of 25 square inches. What would be the length of one of its sides, s, be?
PLEASE SHOW WORK TYY
Answer:
The length of one of the sides would be 5 in.
Step-by-step explanation:
Every cube has 6 faces. Each of those faces is a square.
Since all the sides of a square are equal, we can figure out the length of one of them by looking at the area.
The area of the square is 25 square inches.
The formula to find the area is length times width or l · w
Since all of the sides have to be equal, we just have to find a number that can be multiplied by itself to get 25.
Well, 5 can be multiplied by itself to get 25.
5 x 5 = 25
So, the length of one of the sides would be 5 inches.
Miles has six marbles in total in a bag (red, blue, green, yellow, purple, and orange). He selects two marbles without replacing the first. Enter your answers in simplified fraction form in the spaces provided. The probability that the first marble Miles selects is the yellow marble is The probability that the second marble Miles selects is the blue marble is
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
Separate into Case 1 and Case 2:
Case 1: We want a yellow marble
There is only 1 yellow marble out of the 6 marbles.
Probability for a yellow marble = [tex]\frac{1}{6}[/tex]
Case 2: We want a blue marble
There is only 1 blue marble out of the 5 marbles remaining. (We took 1 yellow marble out already)
Probability for a yellow marble = [tex]\frac{1}{5}[/tex]
Multiply Case 1 with Case 2 because they are a combination:
[tex]\frac{1}{6} *\frac{1}{5} =\frac{1}{30}[/tex]