Answer:
83,962
Step-by-step explanation:
You must subtract the miles gained while on the road trip from the miles the car had after the road trip.
86,445-2,483=83,962
A plane traveled 2464 miles to San Francisco from Boston. With the wind to San Francisco, it took 14 hours. Into the wind from San Francisco, back to Boston, the same trip took 16 hours. How fast is the plane traveling when there is no wind? What is the wind speed?
Step-by-step answer:
Given:
Distance = 2464 miles
downwind time = 14 hours
upwind time = 16 hours
Solution:
downwind speed = 2464 / 14 = 176 mph
upwind speed = 2464 / 16 = 154 mph
Average speed = still air speed
= (176+154)/2
= 330/2
= 165 mph
Time required
= 2464 / 165
= 14.933 hours
= 14 hours 56 minutes.
Final answer:
The plane's speed in still air is 165 mph, and the wind's speed is 11 mph.
Explanation:
To solve the problem of finding the plane's speed in still air, and the wind speed, we can set up two equations based on the given information. Let the plane's speed be 'p' and the wind's speed be 'w'.
With the wind, the effective speed of the plane is 'p + w', and it travels 2464 miles in 14 hours. So we can write the equation:
2464 miles = (p + w) × 14 hours
Into the wind, the effective speed of the plane is 'p - w', and it travels the same distance in 16 hours. The second equation is:
2464 miles = (p - w) × 16 hours
Dividing the distance by the time in each equation gives:
(p + w) = 2464 miles / 14 hours(p - w) = 2464 miles / 16 hoursBy solving these two equations simultaneously, we can find the plane's speed and the wind's speed.
First, calculate the speed with and against the wind:
p + w = 2464 / 14 = 176 mphp - w = 2464 / 16 = 154 mphNow, we can add these two equations to eliminate 'w' and solve for 'p':
2p = 330 mph
p = 165 mph
The plane's speed in still air is 165 mph. To find the wind's speed 'w', we subtract one equation from the other:
w = (176 - 154) / 2 = 11 mphThe wind's speed is 11 mph.
jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?
Hello There!
Before we start, I am going to divide 3.5 by 2 because then we can multiply by 7 to see how far Jimmy can run in 70 minutes.
Jimmy can run 1.75 miles in 10 minutes.
To find out how many miles he can run in 70 minutes, we just multiply 1.75 by 7 and we get a product of 12.25
Jimmy Can Run 12.25 Miles In 70 Minutes
What are the foci of the graph y2 – 25x2 = 25?
Answer: [tex]\bold{(0,-\sqrt{26})\quad \&\quad (0,\sqrt{26})}[/tex]
Step-by-step explanation:
[tex].\qquad y^2-25x^2=25\\\\\implies \dfrac{y^2}{25}-\dfrac{25x^2}{25}=\dfrac{25}{25}\\\\\\\implies \dfrac{y^2}{25}-\dfrac{x^2}{1}=1\\\\\\Center: (0, 0)\\Length\ of\ foci:25+1=c^2\implies \sqrt{26}=c\\Foci: (0,0\pm \sqrt{26})[/tex]
Which system of equations is represented by the graph?
A) y= x2 − 6x − 7
x − y = 1
B) y = x2 − 6x + 7
x + y = −1
C) y = x2 + 6x − 7
x − y = 1
D) y = x2 + 6x + 7
x + y = 1
Answer:
D) y = x² + 6x + 7
x + y = 1
Step-by-step explanation:
Just simply substitute the solution into the equations to confirm their authenticities.
I am glad to help.
Answer:
The answer is D. y = x2 + 6x + 7
x + y = 1
Step-by-step explanation:
A line has a slope of -1 over two and a Y intercept of -2 what is the X intercept of the line
Answer: [tex]x=-4[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
We know that the slope of this line is:
[tex]m=-\frac{1}{2}[/tex]
And the y-intercept is:
[tex]b=-2[/tex]
Since the line intersects the x-axis when [tex]y=0[/tex], we can substitute values into [tex]y=mx+b[/tex]:
[tex]0=-\frac{1}{2}x-2[/tex]
The final step is to solve for "x", then:
[tex]2=-\frac{1}{2}x\\\\(2)(-2)=x\\\\x=-4[/tex]
evaluate the expression 91/31
3
6
60,480
362,874
Answer:
The best possible answer is 3.
[tex]91 \div 31[/tex]
is the equivalent to 91/31. When divided, the answer comes out to 2.935483871 which, when rounded up, is 3.
The value of the given expression 91/31 will be; 3. The correct option is A.
What is an expression?Expression in maths can be defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression will be calculated by;
= 91 / 31
= 2.93
≅ 3
Therefore the value of the given expression is 3. The correct option is A.
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Does anyone know the answer to this question?
Answer:
Option C is correct.
Step-by-step explanation:
We need to solve the equation:
tan 45° - 10 cos 60°
Finding value of tan 45° and cos 60° and solving:
tan 45° = 1 and
cos 60° = 0.5
= 1 - 10(0.5)
= 1- 5
= -4
So, Option C is correct.
Help me out please with this question
Answer:
100 + 40 + 40 + 40 + 40
Step-by-step explanation:
area of base = 10 x 10 = 100 square units
area of each triangular side = 0.5 x 10 x 8 = 40 square units.
Total area = 1 base + 4 sides
= 100 + 40 + 40 + 40 + 40
A building is in the shape of a square pyramid each side of the base is 54 M long and the height is 260 M what is the volume of the building
Answer:
V≈2.53×105^5
Step-by-step explanation:
Base edge: 54
Height: 260
Formula to find volume is: V=a^2h /3
Hope this helps!
For this case we have that by definition, the volume of a square base pyramid is given by:
[tex]V = \frac {1} {3} * L ^ 2 * h[/tex]
Where:
L: It's the side of the square base
h: It's the height of the pyramid
According to the data we have:
[tex]L = 54\m\\h = 260\m[/tex]
Substituting in the formula:
[tex]V = \frac {1} {3} * (54) ^ 2 * 260\\V = \frac {1} {3} * 2916 * 260\\V = \frac {1} {3} * (758160)\\V = 252,720 \ m ^ 3[/tex]
Thus, the volume of the building is [tex]252,720 \ m ^ 3[/tex]
Answer:
[tex]252,720 \ m ^ 3[/tex]
A frame is marked down by 22 percent from an original price of $14.50. What is the new price.
Answer:
The new price is 11.31 dollars.
Step-by-step explanation:
It is marked down by 22 percent, or 78 percent of original.
.78 * 14.50 = 11.31
Answer:
The new price is 11.31
Step-by-step explanation:
Find the mark down
14.50 * 22%
14.50 * .22
3.19
Subtract this from the original price
14.50-3.19
11.31
The new price is 11.31
PLEASE HELP!
What is the y-intercept of the line shown?
Answer:
the answer is y=-1
Answer: -1
Step-by-step explanation: The horizontal line represents the x axis and the verticle line represents the y axis. The line comes into contact with the verticle line at -1, making it your point of interception.
What is the largest number that should be added to –11 to get a sum less than –5?
Answer:
5
Wow the wording of these questions keeps getting more like a version of clue than a school exam or test. Goodluck!
The largest number that should be added to -11 to obtain a sum less than -5 is 5.
Explanation:To find the largest number that should be added to –11 to get a sum less than –5 you need to relate these two numbers. If you add a number to -11 that brings you exactly to -5, it means you're adding 6 (because -11 + 6 = -5). However, you need the sum to be less than -5. So the largest number you can add to -11 to get a number less than -5 would be 5 (because -11 + 5 = -6, and -6 is less than -5). So, the answer is 5.
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Slope = 5, passing through (4,3)
y - y1 = m(x - x1) is the general point slope form
y - 3 = 5(x - 4) plug in the given values
y - 3 = 5x - 20
y = 5x - 20 + 3
y = 5x - 17
The answer in slope intercept form is y = 5x-17
If you want to convert to standard form, then
y = 5x - 17
y+17 = 5x
17 = 5x - y
5x - y = 17 which is the answer in standard form (Ax + By = C)
Which is the first step in simplifying the expression 2(7 + 3) + 5?
Answer: The first choice
Step-by-step explanation: You alsways distribute inside the paranethesis, so 2(x+3)+5 > 2x+ (2*3)+5
Solve for x.
c-1/x+d=cd
A)1/d
B)d
C)c/d
Answer: OPTION A.
Step-by-step explanation:
Given the equation [tex]\frac{c-1}{x}+d=cd[/tex], you need to solve for the variable "x":
Subtract "d" from both sides of the equation:
[tex]\frac{c-1}{x}+d-d=cd-d\\\\\frac{c-1}{x}=cd-d[/tex]
Multiply both sides of the equation by "x":
[tex](\frac{c-1}{x})x=x(cd-d)\\\\c-1=x(cd-d)[/tex]
Divide both sides of the equation by [tex](cd-d)[/tex]:
[tex]\frac{c-1}{cd-d}=\frac{x(cd-d)}{cd-d}\\\\\frac{c-1}{cd-d}=x[/tex]
Factor out "d" in the denominator and simplify. Therefore:
[tex]\frac{(c-1)}{d(c-1)}=x\\\\x=\frac{1}{d}[/tex]
The correct solution for the equation c-1/x+d=cd is x = -1/(cd - c - d). Unfortunately, none of the provided options, 1/d, d, or c/d match this solution.
Explanation:To solve the equation c-1/x+d=cd, we first move the terms involving x to one side and the constant to the other side. So the equation becomes:
-1/x = cd - c - d.
We then take reciprocals on both sides (since we do not want x in the denominator) to get:
x = -1/ (cd - c - d). Thus, the solution of the given equation is x = -1/(cd - c - d).
Unfortunately, none of the options A) 1/d, B) d, or C) c/d match the obtained solution.
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Use ADEF to complete the statements.
Angle E is the included angle between sides
The included angle between sides FE and DF is angle
Answer:
Angle E is the included angle between the sides FE and DE
The included angle between sides FE and DF is the angle F
Step-by-step explanation:
we know that
An included angle is the angle between two sides of a triangle
In the triangle DEF
we have
The included angle F is the angle between the sides FE and FD
The included angle E is the angle between the sides FE and DE
The included angle D is the angle between the sides DF and DE
therefore
In this problem
Angle E is the included angle between the sides FE and DE
The included angle between sides FE and DF is the angle F
A circle has a radius of 8 centimeters. If 1/2 of the circle is cut away, what is the area of the remaining portion? Use 3.14 for
Answer:
Area of the semicircle = 100.48 cm²
Step-by-step explanation:
radius r = 8 cm
Area of the semicircle = [tex]\pi[/tex]r²/2
= (3.14 * 8 * 8)/2 = 3.14 * 8 * 4 = 100.48 cm²
PLEASE HELP 12 POINTS
Answer:
taxes is 22%
utilities is 4%
transportation is 11%
Step-by-step explanation:
basically divide 95000 by 100 to get the size of 1% which is 950 then take each number for ex: 20900 divide it by 950 and that's how much percentage is being used to pay for that
Can someone please help me
Answer:
36
Step-by-step explanation:
Note that the missing side is X
30/20 = X/24
30/20(24) = X
36 = X
Please help me I AM STUCK, and please explain how you get the answer.
Answer:
C) 5
Step-by-step explanation:
[tex]\frac{6x²+19x+10}{2x+5}[/tex]
= [tex]\frac{3x(2x+5)+2(2x+5)}{2x+5}[/tex]
= [tex]\frac{(2x+5)(3x+2)}{2x+5}[/tex]
= 3x+2
which means that if they want us to find what ax+b is, you can figure out that ax+b is similar to 3x+2 and plug in what they want us to solve for, a+b.
ax+b=3x+2 (hence 3=a and 2=b)
wants: a+b
answer: 3+2= 5
hope this helps! :)
question attached below
Answer:
B . [tex]f(x+h)=\frac{x+h}{1+x+h}[/tex]
Step-by-step explanation:
Given function is:
[tex]f(x)=\frac{x}{1+x}[/tex]
Sall h is used to denote minor change in function. The value of the new function f(x+h) will be calculated by putting x+h in place of x in the function.
So putting x+h in place of x
[tex]f(x+h)= \frac{x+h}{1+(x+h)}\\=\frac{x+h}{1+x+h}[/tex]
So, option B is the correct answer ..
Which expression are equivalent?
Answer:
B and F
Step-by-step explanation:
the are equivalent but the are just is different orders
Answer:
8d + 1/3 + 5/7
1/3 + 5/7 + 8d
Step-by-step explanation:
a students skipped a step when he tried to convert 720 seconds into hours and he got the following incorrect result : 720 seconds (1hour/60 minutes)=12 hours. What conversion ratio did he skip in this multiple step conversion?
The student skipped the step of converting seconds to minutes in the process of converting seconds to hours. He directly converted seconds to hours, which led to the erroneous result. This emphasizes the importance of correctly applying conversion ratios in mathematical calculations.
Explanation:The student missed the step of converting minutes into seconds. When attempting to convert seconds to hours, a two-step conversion is required: first, convert seconds into minutes, then, convert the minutes into hours. The correct conversion would therefore be: 720 seconds * (1 minute/60 seconds) * (1 hour/60 minutes) = 0.2 hours.
In the step the student skipped, he directly went from seconds to hours without taking into account that there are 60 seconds in a minute. Therefore, the conversion ratio that the student skipped is '1 minute equals 60 seconds'.
This process of using conversion ratios to convert between units of measure is an important mathematical skill that is often seen in science calculations, such as in physics and chemistry.
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The student erred by skipping the conversion ratio 1 hour/60 minutes. After converting 720 seconds into 12 minutes, they didn't convert these minutes into hours, which would give the correct result, 0.2 hours.
Explanation:The student trying to convert 720 seconds into hours made an error by skipping a crucial conversion ratio. The correct process of converting seconds to hours involves two steps. Firstly, we know that there are 60 seconds in a minute. So, 720 seconds = 720/60 = 12 minutes. However, the student stopped here, forgetting that there are also 60 minutes in an hour. So the skipped conversion ratio is 1 hour/60 minutes. Therefore, to convert the 12 minutes into hours we use this ratio and get 12 minutes * (1 hour/60 minutes) = 0.2 hours.
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help me with this pleaae
Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
[tex] volume = \pi r^2 h [/tex]
[tex] volume = 6750 \pi~in.^3 [/tex]
We set the formula equal to the volume and replace h with 30 in.
[tex] \pi r^2 h = 6750 \pi~in.^3 [/tex]
[tex] \pi r^2 \times 30 ~in. = 6750 \pi~in.^3 [/tex]
Divide both sides by 30pi in.
[tex] r^2 = 225 ~in.^2 [/tex]
Take the square root of each side.
[tex] \sqrt{r^2} = \sqrt{225 ~in.^2} [/tex]
[tex] r = 15~in. [/tex]
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.
[tex] circumference = 2 \pi r [/tex]
[tex] circumference = 2 \pi \times 15~in. [/tex]
[tex] circumference = 30 \pi ~in. [/tex]
Is -22.96 an integer
Answer:
no it is not an integer
Step-by-step explanation:
nope.
Integers are whole numbers that are not fractions.
this is not the case in -22.96 as the decimal 0.96 constitutes the faction component of the number
Hello There!
-22.96 is not an integer.
An integer is any whole number that is positive or negative. A whole number includes 0 and counting numbers so -22.96 would not be considered an integer.
The mean of 10 values is 19. If further 5 values are
included the mean becomes 20. What is the mean
these five additional values?
a) 10
b) 15
c) 11
d) 22
Answer:
22
Step-by-step explanation:
Pretend the 10 values in the first sentence are a,b,c,d,e,f,g,h,i,j
Pretend the addition 5 values is k,l,m,n,o
So the mean of all the 15 data is (a+b+c+d+e+f+g+h+i+j+k+l+m+n+o)/15=20
So the sum of all 15 data is a+b+c+d+e+f+g+h+i+j+k+l+m+n+o=300 since 15(20)=300
Now let's look at the first 10: We have their mean so we can write:
(a+b+c+d+e+f+g+h+i+j)/10=19
so a+b+c+d+e+f+g+h+i+j=190 since 10(19)=190
So that means using our first sum equation and our equation sum equation we have
190+k+l+m+n+o=300
k+l+m+n+o=300-190
k+l+m+n+o= 110
So the average of those 5 numbers mentioned in your problem is 110/5=22
The measure of angle theta is 3 pi over 2. The measure of its reference angle is pi /
Answer:
[tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
In order to find the reference angle of a given angle, we have to determine its quadrant.
Since the angle given is:
[tex]\frac{3\pi }{2}[/tex]
The angle lies in third quadrant.
If the angle lies in the third quadrant, [tex]\pi[/tex] is subtracted from the given angle:
So,
[tex]Reference\ Agnle= \frac{3\pi }{2}-\pi\\= \frac{3\pi -2\pi }{2}\\=\frac{\pi }{2}[/tex]
So the reference angle for [tex]\frac{3\pi }{2}[/tex] is [tex]\frac{\pi }{2}[/tex] ..
The oil company removed 5421 liters of gas from a tank that contained 5855 liters
Answer:
The tank now has 434 liters
Step-by-step explanation:
5855-5421=434
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer
000
DONE
000
Answer:
[tex]\large\boxed{y=\dfrac{1}{4}x+3}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
From the graph we have the points (4, 4) and (0, 3) → b = 3.
We have the equation:
[tex]y=mx+3[/tex]
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the points:
[tex]m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]
Finally we have:
[tex]y=\dfrac{1}{4}x+3[/tex]
If 10/60 is a fraction my decimal is 0.625 so what's the percent?
Answer:
it is 62.5%
Step-by-step explanation:
you can find the percent by moving the decimal point over to the right twice. you can have decimal percents but some questions will ask you to round.
it works because it technically means 625 out of 1000 because it is the thousandths place