Step-by-step explanation:
this is a strange rental company charging no daily fees.
but ok.
so, we have a fixed part of the cost : $24
we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.
and then we pay $0.35 for every mile driven.
that makes our function
C(x) = 0.35x + 24
and if we drive 40 miles, that makes x = 40.
C(24) = 0.35×40 + 24 = 14 + 24 = $38
it would cost us $38.
What is the equation of the line with a slope of 4 and passes through the point (1, -4)?
Answer:
y=4x-8
Step-by-step explanation:
m=4 (1,-4)
-4=4(1) + c
-4=4+c
-4-4=c
-8=c
y=4x-8
Answer: y = 4x - 8
Step-by-step explanation:
The best way to go about this is to first put the information you know into point-slope form, which is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the values of our point (1, -4), so:
[tex]y_{1}=-4[/tex], and [tex]x_{1}=1[/tex].
[tex]m[/tex] represents our slope of 4, so:
[tex]m=4[/tex]
From this, we can plug in our values:
[tex]y-(-4)=4(x-1)[/tex]
A little simplification and distrobution takes us to this:
[tex]y+4=4x-4[/tex]
Then simply subract 4 from both sides to get this:
[tex]y=4x-8[/tex]
An easier way to reason this is to visualize the line in your head and figuring out what the y-intercept is so you can go strait into the [tex]y=mx+b[/tex] form where b is the y-intercept.
someone pls pls help
Answer:
4√2 cm
Step-by-step explanation:
ABCD is a square.
Each side measures 8 cm.
So,
AB = BC = CD = AD = 8 cm
P, Q, R, and S are mid - points of ABCD.
P is the mid - point of AB.
So,
AP = PB
AP + PB = AB
AP + AP = AB
2AP = 8
AP = 8 / 2
AP = 4 cm
S id the mid - point of AD.
So,
DS = SA
DS + SA = AD
SA + SA = AD
2SA = 8
SA = 8 / 2
SA = 4 cm
Property of a square : The angle between two sides is 90°.
So,
The angle between side SA and AP is 90°.
So,
SA, AP and SP forms a right angled triangles.
By Pythagoras theorem,
( SP)² = ( SA )² + ( AP )²
( SP )² = 4² + 4²
= 16 + 16
( SP )² = 32
SP = √32
SP = 4√2 cm
Since PQRS is also a square.
In square, all sides are equal.
So,
PQ = QR = RS = SP
Since SP = 4√2 cm
Hence,
PQ = 4√2 cm
Therefore,
the length of PQ is 4√2 cm.
Answer: 5.7
Step-by-step explanation:
Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.
So the midpoint of AB is:
8/2=4 = BP
Since Q is also a midpoint so BQ is equal to 4.
We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.
The hypotenuse of the triangle is PQ.
Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.
P's Theorem : a²+b²=c²
basically in the case of this question it means:
(BP)²+(BQ)²=(PQ)²
now we just subsiture the values and solve for PQ:
4²+4²=(PQ)²
16+16=(PQ)²
32=(PQ)²
PQ=5.65...
= 5.7(rounded to one decimal place)
find the perimeter of a regular pentagon with each side measuring 6cm.
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
What is the length of side a?
[tex]\huge \bf༆ Answer ༄[/tex]
According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)
So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)
Now, let's solve ~
[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex][tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex][tex] \sf16 + 9 = {a}^{2} [/tex][tex] \sf \: a {}^{2} = 25[/tex][tex] \sf \: a = \sqrt{25} [/tex][tex] \sf \: a = 5 \: units[/tex]Therefore, Length of side a is 5 units ~
This is my question pls help!!!
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Show Work:
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]
[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]
[tex]20 {e}^{9} {f}^{11} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.
Answer: 4.15
Step-by-step explanation:
△ABC has vertices A(1,1) B(5,5) and C(4,6)
What is the perimeter of △ABC
What is the area of △ABC? Show your work.
Length in units:
Use phytogoras theorem or measure it by a ruler if your using a graph paper
AB = 5.65 units
AC = 5.83 units
CB = 1.41 units
Perimeter =5.65 + 5.83 + 1.41 = 12.89 units
Area = 1/2 * 1.41 * 5.65 = 3.98units
Write the formula for the volume of a rectangular solid of length " l, " width " w, " and height " h. " Write the variable equation/write formula using the variables
Select one:
V=lwh
V= (lw)/h
V=(hl)/w
V=(hw)/l
Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
bank account after tomorrow.
deposit $15. Write an expression to represent how much money Bernie will have in his
Answer:
Step-by-step explanation:
Bernie had $30 in his bank account.
Today he withdrew $d
Now he has = $30 — $d
Because from $30 he took away $d that’s why $d have to subtract from the $30.
Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.
So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15
Find the circumference of a circle with a radius of 2.4 m
Answer:
15.07964
..................
not sure how many decimals you want lol, but here ya go:
15.07964474
for future reference you can plug radius (r) into
c = 2pi x r
to get the circumference :)
= 82.2×3.6 Show your working out
HELP!!!
2 + 4x = 30
Please do not just type the answer, please explain how you got it. Whoever explains best gets brainliest.
Answer:
x=7
Step-by-step explanation:
2+ 4x =30
-2 -2
0+ 4x =28
4x= 28
4x divided by 4= 0
28 divided by 4 equals 7
x=7
The value of p (p^2 + p +1) if p =-1
Answer:
The answer is 1
Step-by-step explanation:
p² + p + 1; p = -1
Now, Put p = - 1
p² + p + 1
(-1)² + (-1) + 1
1 - 1 + 1 = 1
Thus, The answer is 1
-TheUnknownScientist 72
Hey there!
p(p^2 + p + 1)
= -1(-1^2 + (-1) + 1)
= -1(-1^2 - 2 + 1)
= -1(-1^2) - 1(-2) - 1(1)
= 1 + 2 - 1
= 3 - 1
= 2
Therefore, your answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?
Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
The solution is Option B.
The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔABC
Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , only the x coordinate of the point changes and there is no change in the angles or the side lengths
Now , dilation changes the side lengths of the triangle by a factor of 2
But there is no change in the angles of the triangle after a dilation
Hence , reflection preserves the angles and side lengths of a triangle
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Will give brainliest
The altitudes of each triangle are drawn. Which of the triangles has an orthocenter on the exterior of the triangle?
Answer:
the second triangle
Step-by-step explanation:
because the point of intersection is out the triangle
Multiplying by 0.89 is the same as decreasing by _____%.
Answer:
1-0.89=0.11
0.11*100=11%
pls help me asap !!!!!
Step-by-step explanation:
the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.
actually, this proof is the same (and is also valid) for non-isoceles triangles.
Describe the graph.
y=12x+2
Group of answer choices
Horizontal line that goes through the point (0,2).
Vertical line that goes through the point (2,0).
A line that goes through the point (0,2) that goes up one unit for every two units moving right.
A line that goes through the point (2,0) that goes up one unit for every two units moving right.
Answer:
It would be the last one!! Hope this helps
Hey y’all pls help me.
Answer:
-b+2>-10
Step-by-step explanation:
Just ask.
Hope this helps! :D
Alejandro bought $3. 50 worth of pencils and erasers at the school store. Pencils cost $0. 50 apiece, and erasers cost $0. 75 apiece. Which equation written in standard form represents the number of pencils, p, and the number of erasers, e, that Alejandro bought? 0. 75e = 3. 50 â€" 0. 50p 0. 50p 0. 75e = 3. 50 3e = 14 â€" 2p 2p 3e = 14.
Answer:
2p + 3e = 14
Step-by-step explanation:
The required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]
Given, Alejandro bought $3.50 worth of pencils and erasers at the school store.
The cost of each pencil is $0. 50.
The cost of each eraser is $0. 75.
Since He denotes no. of pencil by p and no. of eraser by e, so the required equation will be,
[tex]0.50\ p+0.75\ e= 3.50\\[/tex].
Hence the required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]
For more details on Equation solving follow the link:
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Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.
*The total cost of the buses was the same for the two schools
*Students from Valley High School paid $5 less than students from Haynes High School.
What was the cost per student for Haynes High School?
A. $5 B. $15 C. $20 D. $40
Answer: $20
Step-by-step explanation:
Let 'x' be the cost of a ticket at Haynes
Let 'y' be the cost of a ticket at Valley
Since the total cost from both schools are the same, we can write it as:
[tex]60x=80y[/tex]
Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:
[tex]y=x-5[/tex]
Now we have two equations, we can use to substitute into the other expression:
[tex]60x=80y[/tex]
[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation
[tex]60x=80x-400[/tex]
[tex]-20x =-400[/tex]
[tex]x = 20[/tex]
Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.
Catryna has 15 coins in nickels and quarters, totaling $3.75. How many quarters does she have?
Answer: 15 Quarters
Step-by-step explanation:
4Q = $1
12Q = $3
3Q = $0.75
12Q + 3Q = $3.75
Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN
Answer:
B
Step-by-step explanation:
that's my answer hope it helps ✨
The mid segment can be MK or LO or LN.
What is Mid segment?The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.
Given:
We know that the Midsegment is generally formed by the mid points of the line.
But, for Mid Segment of LJK we can write
Mid Segment= 1/2 x Triangle Base
= 1/2 x JK (or LK or LJ)
= MK or LO or LN
Hence, the mid segment can be MK or LO or LN.
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Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50
Answer g
Step-by-step explanation:
g
Answer:
don't know i tell true
Step-by-step explanation:
my Christmas present to you
Answer:
super man
Step-by-step explanation:
Multiply the fractions and reduce to lowest terms: 3/4 x 1/3
Answer:
3/12 or 1/4
Step-by-step explanation:
Answer:
1/4 is the answer.
Step-by-step explanation:
3/4 x 1/3
=> 3/12
=> 1/4
Therefore, 1/4 is the answer.
Hoped this helped.
Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
inches taller than Nancy. How tall is Jane?
Jane is 8 13/40 inches tall
Given the following:
Height of Matt = 5 3/4 in = 23/4 inIf Nancy is 1 3/8 inches taller than Matt, hence;
Height of Nancy = 23/4 + 11/8 = 46+11/8 Height of Nancy = 57/8 inif Jane is 1 1/5 inches taller than Nancy, then the height of Jane will be;
Height of Jane = 57/8 + 6/5Height of Jane = 285+48/40Height of Jane = 333/40 = 8 13/40 inchesHence Jane is 8 13/40 inches tall
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Jessica received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.76 per pound. After buying the coffee, she had $33.44 left on her card. How many pounds of coffee did she buy?
Answer:
Set up an equation
80 dollars is what we started off with
$7.76 per unknown pounds is the money you used
Jessica is left with 33.44 now
80 - 7.76x = 33.44
-80 -80
-7.76x = -46.56
/-7.76 /-7.76
x = 6 pounds
Please help I have semester exams :(
M is the midpoint of segment AT.
Solve for X and AM
Answer:
x=2
Step-by-step explanation:
5x=3x+4
5x-3x=4
2x=4
x=4/2
x=2
All the best for ur exams .........Mine are going on too btw.......