Answer:
Your total fare including tip is $20.2
Step-by-step explanation:
Cost for first 0.5 mile = $ 3.20
Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.
It is 6.5 miles to your grandmother’s house.
So, remaining distance = 6.5-0.5=6 miles
Cost for 0.1 mile = $0.25
Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]
Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]
You plan to give the driver a $2.00 tip.
So, Total cost = $2+$3.2+$15=$20.2
Hence your total fare including tip is $20.2
What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)
Answer:
(6, -5) (Answer C)
Step-by-step explanation:
Multiply the first equation by 2. We get the following equivalent system:
4x + 2y = 14
x - 2y = 16
------------------
5x = 30, or x = 6.
Substituting 6 for x in the second equation, we get
6 - 2y = 16, or
- 2y = 10, so that y = -5
and the solution is (6, -5) (Answer C)
please help me i’ve been stuck on this
Answer:
The odd that B draws an ace is 3/51 or 1/17
No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think
Simply
(3x^2 y^3/x^3)^3
The answer is 27y^9/x^3
if multiple choice the answer is 27x^6 y^9/x^9
Pictures so you can see
Answer:
[tex]=\frac{27y^9}{x^3}[/tex]
Step-by-step explanation:
[tex]\left(\frac{3x^2y^3}{x^3}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{3x^2y^3}{x^3}\right)^3=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(3x^2y^3\right)^3:\quad 27x^6y^9\\=\frac{27x^6y^9}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(x^3\right)^3:\quad x^9\\=\frac{27x^6y^9}{x^9}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]
[tex]\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\=\frac{27y^9}{x^{9-6}}\\\mathrm{Subtract\:the\:numbers:}\:9-6=3\\=\frac{27y^9}{x^3}[/tex]
9-1-1 Math EMERGENCY PLS HELP WILL GIVE BRAINLY AND 30 points
Pls solve just one queastion
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Give me brainly
The point-slope form of a line is y-y1 = m(x-x1), where m is the slope and x1 is a point on the line.
A. True
B. False
Answer:
False.
Step-by-step explanation:
A point on the cordinate plane needs an x-coordinate and a y-coordinate.
The point is (x1, y1) not just x1.
The statement is true because the point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
The point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.
Hence, the statement is true.
Learn more on Point-slope form of a line here: brainly.com/question/11624671
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For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?
Answer:
40 adults and 140 kids
Step-by-step explanation:
Answer:
40 adults
Step-by-step explanation:
40 adults and 140 kids
20 times 7 is 140
40 plus 140 is 180
Can somebody help me with this question
Answer: -17 degrees
Step-by-step explanation:
109-126 = -17
Answer:
-17 degrees
Step-by-step explanation:
since it is 126 degrees lower, you minus 126 from 109. 109-126= -17
Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.
Answer:
Center [tex]= (0,0)[/tex]
Vertices [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].
Step-by-step explanation:
The standard form of an ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex] ...(1)
where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.
[tex]c=\sqrt{a^2-b^2}[/tex]
The given equation of ellipse is
[tex]3x^2+7y^2=21[/tex]
Divide both sides by 21.
[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]
[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a^2=7,b^2=3[/tex]
[tex]a=\sqrt{7},b=\sqrt{3}[/tex]
Now,
[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]
Therefore,
Center [tex]= (0,0)[/tex]
Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].
does anybody know the answer to this equation? // * ANSWER ASAP *
Answer:
radius
Step-by-step explanation:
AJ is half the distance across the circle (radius).
This is urgent can someone please help.......
Quentin typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?
A)73 yards
B)20 yards
C)53 yards
D)126 yards
A cone shaped tepee has a radius of 4 feet and a slant of 7 feet. If Joe is six feet tall, determine whether Joe is shorter or taller than the height of the tepee.
A)Joe is shorter than the tepee.
B)Joe is taller than the tepee.
C)Joe is the same height as the tepee.
D)There is not enough information to determine if Joe is shorter or taller than the tepee.
Which of the following could NOT be the side lengths of a right triangle?
A)3 - 4- 5
B)5 - 12 - 13
C)8 - 9 - 10
D)9 - 40 - 41
Answers are c, a, and c
Answer:
1. A
2.C
3.C
Step-by-step explanation:
.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?
A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.
The width of the room is equal to 6 m
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Perimeter=36 m
Let the length of the room be 2x and width of the room be x
Then we have (2x+x)=36
x=12
Thus length =12m & width=6 m
Hence, the width of the room is equal to 6 m
Learn more about the perimeter here:
https://brainly.com/question/20693059
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Simplify ^4 sqrt 16x^8y^12z^4
Answer:
Step-by-step explanation:
[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]
What is the surface area of this shape? thank you :)
Answer:
105
Step-by-step explanation:
5x3=15
2x3=6
2x6=14+(4x1)=18
2x6=14+(4x1)=18
1x3=3
2x3=6
4x3=12
6x3=18
add all of them...
=105
if its right can u pls mark as brainliest?
The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².
What is rectangular prism?A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The surface area of a rectangular prism is expressed as;
S.A = 2(lw + lh + wh)
Where l is length, w is width and h is height.
Given the data in the image;
For the first rectangular prism
Height h = 4cmLength l = 1cmWidth w = 3cmFor the second rectangular prism
Height h = 2cmLength l = 5cmWidth w = 3cmNow, surface area of the first rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)
S.A = 2( 3cm² + 4cm^2 + 12cm² )
S.A = 2 × 19cm²
S.A = 38cm²
Next, the surface area of the second rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)
S.A = 2( 15cm² + 10cm^2 + 6cm² )
S.A = 2 × 31cm²
S.A = 62cm²
Total surface area TSA = 38cm² + 62cm²
T.S.A = 100cm²
Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²
Learn more about area of prisms here: https://brainly.com/question/17351910
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Drag each tile to the correct box. Match the expression to the exponent property that you use first to simplify the expression.
sorry i did the best i could
A point is one-dimensional
O A. True
O B. False
SUBMIT
Answer:
This is true.
Step-by-step explanation:
A point can only be on one dimension.
Answer:
FALSE
Step-by-step explanation:
i just took it
Is my answer to this problem right?
Answer:
Yes
Step-by-step explanation:
1/3 = 3 in 1
3(1) = 3
3 x 12 = 36
So 36 is correct
Answer:
I’m pretty sure you are correct.
Help please!! Anyone??
Answer:
38
Step-by-step explanation:
180-142=38
Answer:
180-142 (supplementary angles)
38
how to find an unknown angle in a quadrilateral
write a function rule that relates r and t.
Input r: -2, 0, 2, 4, 6
Output t: 0, -1, -2, -3, 1
Answer: [tex]t=-\frac{1}{2}r- 1[/tex]
Step-by-step explanation:
For a lineal equation [tex]t=mr+n[/tex]
For r=0 and t=-1
[tex]-1=m(0)+n\\n=-1[/tex]
For r=-2 and t=0
[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]
Them [tex]t=-\frac{1}{2}r- 1[/tex]
???? The output for 6 is 1????
I need help please thanks
Answer:
1/6
Step-by-step explanation:
Use the drop-down menus to complete each statement to describe the relationship
between the number of inches and the number of centimeters.
Answer:
Step-by-step explanation:
2.54 centimeters = 1 inch
15.24 centimeters = 6 inches
I don't know what other relationships they want :)
What is the length of the unknown leg in the right triangle?
A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards
Answer:
8Step-by-step explanation:
A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;
[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]
Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;
[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]
The length of the unknown leg in the right triangle is 8
Answer:
a. 8 yd
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{87}[/tex]
Length = [tex]\sqrt{23}[/tex]
x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²
x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²
x² = 87 - 23
x² = 64
[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]
x = 8 yd
Suppose the sample space for a continuous random variable is 0 to 50. If the
area under the density curve for the variable from 0 to 38 is 0.76, what is the
area under the density curve from 38 to 50?
A. 0.34
B. 0.924
C. 0.76
D. 0.24
Answer:
0.24
Step-by-step explanation:
question in attachment
Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{8}[/tex] = 1530 and r = 2, thus
[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
Mouse population is 25,000 and is decreasing at a rate of 20% per year what is the population of mice after 3 years
Answer:
10,000
Step-by-step explanation:
3 years x 20% = 60%
60% of 25000 is 15000
25000 -15000 = 10,000
Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
Answer:
Step-by-step explanation:
First derivative
[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]
Second derivative
[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]
Third derivative
[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]
Fourth derivative
[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]
PLz help right answers only will give brainliest!!!!
Answer:
-48
Step-by-step explanation:
First You put The question in Order
HOPE THIS HELP
STAY SAFE:)
12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches
that they rise.
a. Discuss how to find the slope of the stairs.
b. Describe how changing the width or height affects the steepness of the stairs.
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation:
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?
A.10
B.15
C.20
D.30
Answer:
C. 20
Step-by-step explanation:
105 + 9.5x = 14.75x
105 = 5.25x
20 = x