Answer:
96 km/h
Step-by-step explanation:
Speed of car = 87 km/h
Time = 20 minutes = [tex]\frac{20}{60} = \frac{1}{3}\ hrs[/tex]
Distance traveled by bus = 3 km more than that of traveled by car
To find
Average speed of bus = ?
Solution:
Formula for distance traveled is given as:
[tex]Distance = Speed \times Time[/tex]
So, distance traveled by car in 20 minutes = 87 [tex]\times \frac{1}3[/tex] = 29 km
As per given statement, distance traveled by bus = 29 + 3 = 32 km
Time taken = [tex]\frac{1}{3}\ hrs[/tex]
Using the formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Speed of the bus =
[tex]\frac{32}{\frac{1}3} = \bold{96\ km/h}[/tex]
Write a verbal expression for 5x cubed + 2
Answer:
2 added to cube of 5 times x
Step-by-step explanation:
Answer:
2 plus cube 5 times.
cube = (³).
times = (multiplying).
You purchase x number of balloons for your party. You distribute them evenly among 8 tables. While you are finishing up with your decorations, 2 balloons pop. Is it true that each table will now have x − 2 8/2 balloons? Explain why or why not. someone help plzz
Answer:
No, it's just maximum of two tables that lost balloon so there is no way it affected each table.
Step-by-step explanation:
Number of balloons purchased= x
Number of tables = 8.
Each table has = x/8 balloons
If 2 balloons pop.
Let's assume it's just from a table
That table has( x/8 -2)
If it's from 2 table
The two table has
(X/8-1) for both tables
But the total balloon remaining = x-2
There is no particular equation that can describe the gallon on each table because it's only two balloons that popped.
Answer:
That expression is not true. To evenly distribute the balloons you use x/8. Then you subtract 2 balloons from that total amount. The subtraction must be done after the division. There will not be the same number of balloons at each table.
Step-by-step explanation:
It was the sample answer.
A debt of $12,000 with interest at 5% compounded monthly is to be repaid by equal payments at the end of each year for three years and nine months. What is the term of repayment? None 12 months 3.9 years 3.75 years
Answer:
3.75 years
Step-by-step explanation:
If the debt is to be paid in 3 years, 9 months, then the term of the loan is ...
3 9/12 = 3 3/4 = 3.75 . . . years
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answer:
25/4 laps or (6.25 laps)
Step-by-step explanation:
1 lap = 1 1/5 miles
kellyn plans to jog 7 1/2 miles
1 lap
number of laps = 7 1/2 miles x -------------- = 25/4 laps or (6.25 laps)
1 1/5 miles
A holiday company charters an aircraft to fly to Malta at
a cost of $22 000. It then sells 150 seats at $185 each and a
futher 35 seats at a 20% discount. Calculate the profit made
per seat if the plane has 200 seats.
Answer:
$54.65 profit per seat
Step-by-step explanation:
150(185) + 35(185)(.8) = 27,750 + 5,180 = 32,930 - 22,000 = 10,930
10,930/200 = $54.65 profit per seat
Answer:
$54.65
Step-by-step explanation:
First, we find the total amount made. This is easy:
(150 x 185) + (35 x .8(185)) =
27750 + 5180 =
32930
We then subtract the $22000, so the company makes a profit of 10930. There are 200 seats, so the profit made per seat is $54.65
please help!!!!!!!!!!!!! Select ALL the correct answers. Choose the statements that are true about a cube with side length 1 unit.
Answer:
i think it is 2
Step-by-step explanation:
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
Answer:
A) (-3, 3) B) (-1, 1) C) (-2, 3)
Step-by-step explanation:
ABCD RECTANGLE α + β = ?
Answer:
Step-by-step explanation:
I'm going to walk through this analytically, so I will have to assign some variables to angles that are not marked. Pay close attention so you can follow the logic.
The angle at the top left next to and to the left of 40 will be "x", and the one to the right of 40 will be "y". Because that angle is a right angle, then we know that
x + y + 40 = 90 and
x + y = 50.
We also know that, by the Triangle Angle-Sum Theorem, the 2 triangles that contain alpha and beta will add up to equal 360, 180 apiece. So now we have:
x + 90 + α + y + 90 + β = 360.
Let's regroup a bit:
x + y + α + β + 90 + 90 = 360 and
(x + y) + α + β + 180 = 360.
But we know from above that x + y = 50, so
50 + α + β + 180 = 360 and
230 + α + β = 360 and
α + β = 130. There you go!
Answer:
α + β = 130
Step-by-step explanation:
∠ A = ∠ C = 90°
The sum of the 3 angles in a triangle = 180°
vertex angle at D inside the Δ = 180 - (90 + α ) ← Δ on left
vertex angle at D inside the Δ = 180 - (90 + β ) ← Δ on right
∠ ADC = 90° thus
180 - (90 + α) + 180 - (90 + β) + 40 = 90
180 - 90 - α + 180 - 90 - β + 40 = 90, that is
220 - α - β = 90 (add α and β to both sides )
220 = 90 + α + β (subtract 90 from both sides )
130 = α + β
Function g can be thought of as a scaled version of f(x)=|x| what is the equation for g(x)?
Answer:
A
Step-by-step explanation:
Khan academy
The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Function g can be thought of as a scaled version of f(x)=|x|
The function f(x):
f(x) = |x|
The blue lines represent the function f(x)
First reflect the function f(x) around the x-axis
F(x) = -|x|
Multiply by the factor 4 to stretch the function:
g(x) = -4|x|
Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
Solve for x.
13(x-3) = 39
x=1
x=4
x=6
x= 10
Answer:
x=6
Step-by-step explanation:
13(x-3) = 39
Divide each side by 13
13/13(x-3) = 39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6 ,is right.
6-3=3&multiply 13=39
so answer is x=6
mark brainleast plz
A file that is 276 megabytes is being dowloaded . If the downloaded is 16.7% complete how many megabytes have been dowloaded? Round ur answer to the nearest tenth ( can ya please hurry and answer thank you)
Answer: 46.1 megabytes
Step-by-step explanation:
Can anyone tell me the answer of the question attached below??
Answer: AE = 5
Step-by-step explanation:
I sketched the triangle based on the information provided.
since ∠A = 90° and is divided into three equal angles, then ∠BAD, ∠DAE, and ∠CAE = 30°
Since AB = 5 and BC = 10, then ΔCAB is a 30°-60°-90° triangle which implies that ∠B = 60° and ∠C = 30°
Using the Triangle Sum Theorem, we can conclude that ∠ADB = 90°, ∠ADE = 90°, ∠ AED = 60°, AND ∠ AEC = 120°
We can see that ΔAEC is an isosceles triangle. Draw a perpendicular to divide it into two congruent right triangles. Label the intersection as Z. ΔAEZ and ΔCEZ are 30°-60°-90° triangles.
Using the 30°-60°-90° rules for ΔABC we can calculate that AC = 5√3.
Since we divided ΔAEC into two congruent triangles, then AZ = [tex]\dfrac{5\sqrt 3}{2}[/tex]
Now use the 30°-60°-90° rules to calculate AE = 5
HELP ME IM GONNA CRY PLEASE
A car was purchased for $20,000. The car depreciates by 22% of each year.
a) What is the value of the car when it is 12 years
old?
b) How long will it take for the car to be worth less than $100?
Hello, a car was purchased for $20,000.
This is the initial value.
The car depreciates by 22% of each year.
After 1 year, the value is the initial value 20,000 minus 22% of 20,000.
[tex]20000-20\%*20000=20000\cdot (1-20\%)=20000\cdot (1-0.20)=20000\cdot 0.8=16000[/tex]
After 2 years, the value is.
[tex]20000\cdot 0.8\cdot 0.8=20000\cdot0.8^2=12800[/tex]
Let's take n a positive integer, after n years, the value is.
[tex]\large \boxed{\sf \bf \ 20000\cdot0.8^n \ }[/tex]
a) After 12 years, the value is.
[tex]20000\cdot0.8^{12}=1374.389...[/tex]
This is rounded to $1,374
b) We need to find n such that
[tex]20000\cdot0.8^n=100\\\\ln(20000)+nln(0.8)=ln(100)\\\\n=\dfrac{ln(100)-ln(20000)}{ln(0.8)}=23.74...[/tex]
This is around 23.75 meaning 23 years and 75% of 1 year (meaning 9 months).
So to be worth less than $100, 23 years and 9 months are required.
Thank you
Match the vocab word
Answer:
1). Algebraic expression - a letter or symbol used to represent an unknown.
2). Coefficient - a numerical value.
3). Constant - the constant preceding the variables in a product.
4). Expression - a mathematical expression containing one or more variables.
5). Variable - a mathematical phrase that cannot be determined true or false.
Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 \\\\ B.&&5x+x&=x-4 \end{aligned} A. B. 5x−2+x 5x+x =x−4 =x−4 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract a quantity to/from only one side (Choice B) B Add/subtract the same quantity to/from both sides (Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
1) A. Add/subtract a quantity to/from only one side
2) B. No
Step-by-step explanation:
Question (rewritten)Answer two questions about Equations A and B:
A. 5x-2+x = x-4 B. 5x+x = x-41) How can we get Equation B from Equation A?
A. Add/subtract a quantity to/from only one side B. Add/subtract the same quantity to/from both sides C. Rewrite one side (or both) using the distributive property D. Rewrite one side (or both) by combining like terms2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes B. No=================================
Solution1) As we see left sides of the equations are different but right sides are same.
To make them equal we need to remove the difference.
Equation A. 5x -2 +x = x -4 Equation B. 5x + x = x- 4We need to add 2 to the left side of equation A to get Equation B.
The answer choice for this case is:
A. Add/subtract a quantity to/from only one side2) Since the equations are not same, they will have different solutions.
Answer choice is:
B. NoEquivalent equations are equations that have the same value.
Add/subtract a quantity to/from only one side to get equation B from ABoth equations are not equivalentThe equations are given as:
[tex]A:\ 5x-2+x = x-4[/tex]
[tex]B: 5x+x = x-4[/tex]
(a) How to get equation (B) from (A)
By comparing equations (A) and (B), we have the following observations
The right-hand side of both equations are the sameThe difference between the left-hand side of the equations is -2.This means that, only the left-hand side of equation A will be altered to get equation B.
Hence, the solution is:
A. Add/subtract a quantity to/from only one side
(b) Are they equivalent?
No, they are not.
This is so, because only one side of equation A is altered to get equation B.
Read more about equivalent equations at:
https://brainly.com/question/10541844
In a community service class in the fall, 333 of the 151515 class sessions were lectures, while all others were devoted to fieldwork in parks. In the spring, the number of sessions devoted to fieldwork remained the same, but the total number of sessions increased to 181818. In the spring, what percent of class sessions were lectures? Choose 1 answer: 16.7\%
-15
Step-by-step explanation:
Determine the length ofx and the length ofy, to the nearest tenth of a metre.
12
Х
37°
a. x = 7.2 m and y= 9.7 m
b. x = 9.6 m and y = 12.9 m
42°
x = 9.6 m and y= 14.3 m
d. x = 7.2 m and y = 10.8 m
c.
Answer:
Option D. x = 7.2 m and y = 10.8 m.
Step-by-step explanation:
A. Determination of the value of x
Angle θ = 37°
Opposite = x
Hypothenus = 12 m
Using the sine ratio, the value of x can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine 37 = x/12
Cross multiply
x = 12 × Sine 37
x = 7.2 m
B. Determination of the value of y.
Angle θ = 42°
Opposite = x = 7.2 m
Hypothenus = y
Using the sine ratio, the value of y can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine 42 = 7.2/y
Cross multiply
y × Sine 42 = 7.2
Divide both side by Sine 42
y = 7.2 / Sine 42
y = 10.8 m
Therefore, x = 7.2 m and y = 10.8 m
If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale.
Answer:
[tex]\Large \boxed{11.08}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
AD/DC = BE/EC
Let the length of EC be x.
6/14 = 4.75/x
Solve for x.
Cross multiply.
6 × x = 14 × 4.75
6x = 66.5
Divide both sides by 6.
(6x)/6 = (66.5)/6
x = 11.083333...
Greetings from Brasil...
Here we can use similarities of triangles
AC/DC = BC/EC
20/14 = (4.75 + X)/X
X ≅ 11.1
see attachment
The height of a building model is 2% of its actual height. If the building
model is 3 feet tall, how tall is the actual building?
Answer:
x = 150 feets
Step-by-step explanation:
Given that,
The height of a building model is 2% of its actual height.
The building model is 3 feet tall, h = 3 feet
We need to find the height of the actual building. Let it is x.
According to question,
h = 2% of x
We have, h = 3 feet
So,
[tex]x=\dfrac{h}{2\%}\\\\x=\dfrac{3}{2/100}\\\\x=150\ \text{feet}[/tex]
So, the actual height of the building is 150 feets.
Use the trick of Gauss to add up consecutive integers from 111 to 200200200, that is, find the sum 1+2+3+…+199+200 .\qquad\qquad\qquad 1+2+3+\ldots+199+200\;.1+2+3+…+199+200.
Answer:
20100
Step-by-step explanation:
To find the sum of:
[tex]1 + 2 + 3+ 4+ ...... +200[/tex]
As per the trick of Gauss, let us divide the above terms in two halves.
[tex]1+2+3+4+\ldots+100[/tex] and
[tex]101+102+103+104+\ldots+200[/tex]
Let us re rewrite the above terms by reversing the second sequence of terms.
[tex]1+2+3+4+\ldots+100[/tex] (it has 100 terms) and
[tex]200+199+198+197+\ldots+101[/tex] (It also has 100 terms)
Adding the corresponding terms (it will also contain 100 terms):
1 + 200 = 201
2 + 199 = 201
3 + 198 = 201
:
:
100 + 101 = 201
The number of terms in each sequence are 100.
So, we have to add 201 for 100 times to get the required sum.
Required sum = 201 + 201 + 201 + 201 + . . . + 201 (100 times)
Required sum = 100 [tex]\times[/tex] 201 = 20100
Forgot how to do this please help, thank you.
3m + 2x=-3, solve for x
Answer:
[tex]\boxed{x =\frac{-3m-3}{2}}[/tex]
Step-by-step explanation:
[tex]3m + 2x=-3[/tex]
[tex]\sf Subtract \ 3m \ from \ both \ sides.[/tex]
[tex]3m + 2x-3m=-3-3m[/tex]
[tex]2x=-3-3m[/tex]
[tex]\sf Divide \ both \ sides \ by \ 2.[/tex]
[tex]\displaystyle \frac{2x}{2} =\frac{-3-3m}{2}[/tex]
[tex]\displaystyle x =\frac{-3m-3}{2}[/tex]
Answer:
x=\frac{-3-3m}{2}
Step-by-step explanation:
1st step: Subtract 3m from both sides. 3m+2x-3m=-3-3m
2nd step: Simplify. 2x=-3-3m
3rd step: Divide both sides by 2. \frac{2x}{2}=-\frac{3}{2}-\frac{3m}{2}
Final step: Simplify. x=\frac{-3-3m}{2}
20 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second!
Answer:
Two solutions: -0.12 and 1.75.
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]. Assuming that the x² term is a, the x term is b, and the constant is c, we can plug the values into the equation.
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {8^2 - 4\cdot-4.9\cdot1} }}{{2\cdot-4.9}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {64 + 19.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {83.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {9.14} }}{{-9.8}}} \end{array}[/tex]
[tex]\frac{-8 + 9.14}{-9.8} = -0.12[/tex]
[tex]\frac{-8-9.14}{-9.8} =1.75[/tex]
Hope this helped!
6. It started snowing at 1 P.M.. At 6 P.M., the total snowfall is 8 centimeters.
What is the mean hourly snowfall?
is this finding the unit rate cause i forgot how to please someone answer quick!!!
Answer:
(8/5) Centimeyers
Step-by-step explanation:
From 1 PM to 6 PM there is a 5 Hour difference.
Mean (total/hours) = 8/5
Answer:
1.6 cm/hour.
Step-by-step explanation:
Yes it is the unit rate.
So mean horly snowfall = total snowfall / time
= 8 / (6 - 1)
= 8/5
= 1.6 cm/hour.
Find the value of x in each case:
Answer:
x=36
Step-by-step explanation:
180-x=180-2x +180-4x
180-x = 360 -6x
5x =180
36 = x
A sprinter run 400 meter in 54 second.what about s the runner's average running rate in meter per second?round to the nearest tenth
Answer:
7.4
Step-by-step explanation:
400 ÷ 54 =7.407407...
7.407407... rounded to the nearest tenth is 7.4
I hope this helps... and plz mark me brainliest!!!
how many are 2 raised to 3 ???
Answer:
8
Step-by-step explanation:
2^3
It is two multiplied by itself 3 times
2*2*2
8
"One month Sam rented 12 movies and 2 video games for a total of $41. The next month he rented 3 movies and 5 video games for a total of $35 . Find the rental cost for each movie and each video game."
Answer:
Movies cost $2.50 and video games cost $5.50
Step-by-step explanation:
Let the rental cost of movies be x and the rental cost of video games y
12x + 2y = 41
3x + 5y = 35
Solve by substitution
Answer:
Movie price: $2.5
Video game price: $5.5
Step-by-step explanation:
First month
12 movies ([tex]m[/tex]);
2 video games ([tex]v[/tex]);
Cost: $41
Second month
3 movies ([tex]m[/tex]);
5 video games ([tex]v[/tex]);
Cost: $35
[tex]$\left \{ {{12m+2v=41} \atop {3m+5v=35}} \right.$[/tex]
[tex]$\left \{ {{12m+2v=41} \atop {3(-4)m+5(-4)v=(-4)35}} \right.$[/tex]
[tex]$\left \{ {{12m+2v=41} \atop {-12m+-20v=-140}} \right.$[/tex]
[tex]-18v=-99[/tex]
[tex]v=5.5[/tex]
[tex]12m+2(5.5)=41[/tex]
[tex]12m+11=41[/tex]
[tex]12m=30[/tex]
[tex]m=2.5[/tex]
help me asap you guys i need help
Hi there! :)
Answer:
[tex]\huge\boxed{C}[/tex]
To simplify the process, convert each given weight into standard notation:
Lion:
[tex]1 * 10^{5} = 1 * 100000 = 100,000 g[/tex]
Ant:
[tex]2 * 10^{-3} = 2* 0.001 = 0.002[/tex]
Divide the ant's weight from the lion's weight:
[tex]100000 / 0.002 = 50,000,000[/tex]
Convert to scientific notation: (use # of zeros to determine exponent)
[tex]50,000,000 = 5 * 10^{7}[/tex]
Therefore, the correct answer is C.
what are the next 3 terms in the sequence? 0.8,1,1.2,1.4,1.6....
Answer:
The next three terms are 1.8, 2.0, and 2.2.
Step-by-step explanation: We can subtract a number of the sequence minus the number right before that number. For example, 1-0.8=0.2 and 1.4-1.2=0.2. So, we have to add 0.2 from 1.6 to find the next term which is 1.8, then add 1.8+0.2 to get 2 as the number after that, then add 2+0.2=2.2 to get the final number. Som your answer is 1.8,2.0,2.2. Hope this helped.
Find the value of |5| - 4(32 - 2).
Answer:
115
Step-by-step explanation:
5 - 4(30)
5 - 120
115
Answer:
-115
Step-by-step explanation:
Since anything in between those two lines (absolute value) always comes out positive and the five inside there is already positive, we don't need to worry about it.
First let's look at what's inside the parenthesis.
5 - 4(32 - 2)
= 5 - 4(30)
Next, we'd multiply. (I'm going by PEMDAS)
5 - 120
Now that we've done that we just need to subtract. Generally, 120-5=115, so, we just need to make it negative.
Hope this helps!! <3 :)
