Answer:
If a gallon of gas costs $2.9
The Prius can drive 50 miles with one gallon.
then for m miles, it needs:
(m/50) gallons.
and each gallon costs $2.9
Then for driving m miles, the cost would be:
(m/50)*$2.9
Then the total cost of buying the Prius and driving for m miles is:
P(m) = $25,000 + (m/50)*$2.9
We can do a similar approach for the Accord's case.
The Accord can drive 31 miles with one gallon.
Then if it drives m miles, it will need:
(m/31) gallons.
And knowing that each gallon costs $2.9, the cost for driving m miles is:
(m/31)*$2.9
Then the total cost of buying an Accord and driving for m miles is:
A(m) = $22,000 + (m/31)*$2.9
We want to find the value of m, such that the cost of the Prius is smaller than the cost of the Accord.
Then the first thing we need to find is the value of m such that the costs are equal:
P(m) = A(m)
$25,000 + (m/50)*$2.9 = $22,000 + (m/31)*$2.9
$25,000 - $22,000 = (m/31)*$2.9 - (m/50)*$2.9
$3,000 = m*$2.9*(1/31 - 1/50)
$3,000/($2.9*(1/31 - 1/50)) = m = 84,392
This means that if you drive more than 84,392 miles, then the cost of the Prius will be smaller.
I
Find the area devoted to each type of flower. Please help!! I will give Brainliest!!!
Answer:
Roses
4*8 = 32 ft²Zinnias
8*12 - 4*8 = 64 ft²Snapdragons
12*16 - 8*12 = 96 ft²Petunias
20*16 - 12*16 = 128 ft²Area of rectangle = length × width
Roses → 8 × 4 = 32 ft²
Zinnias → 12 × 8 - 8 × 4 = 64 ft²
Snapdragons → 12 × 16 - 12 × 8 = 96 ft²
Petunias → 20 × 16 - 12 × 16 = 128 ft²
Untaxi viaja
ina
velocidad de 48 mph
llegar a un destino
in 2 2 horas media.
y
¿ Cuál seria su velocidad
Si se tarda dos horas?
para
llegar
Answer:
60 millas por hora.
Step-by-step explanation:
Dado que un taxi viaja a una velocidad de 48 mph para llegar a un destino en 2 horas y media, para determinar cuál seria su velocidad si se tarda dos horas para llegar se debe realizar el siguiente cálculo:
48 x 2.5 = 120
120 / 2 = X
60 = X
Así, su velocidad, si se tardase dos horas en llegar, sería de 60 millas por hora.
are -(x-4) and -x+4 equivalent?
Answer:
no
Step-by-step explanation:
Answer:
yes they are
Step-by-step explanation:
Plz I need the answer fast
ONM has vertices O (-4, 2), N (3, 6) and M(0,3). What are the coordinates of the
vertices of O' N' M' if ONM is first translated (x, y)+(x + 3, y) followed by a
reflection across the line y = 1?
Answer:
The new vertices are [tex]O''(x,y) = (-1, 0)[/tex], [tex]N''(x,y) = (6,-4)[/tex] and [tex]M''(x,y) = (3,-1)[/tex].
Step-by-step explanation:
Previously, we have to define a vectorial equation for a reflection across the line [tex]y = 1[/tex]:
Reflection across the line y = 1:
[tex]P'(x,y) = P(x,y) -2\cdot [P(x,y) -(x_{P},1)][/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]x_{P}[/tex] - x-Coordinate of the original point.
[tex]P'(x,y)[/tex] - Resulting point.
Translation:
[tex]P'(x,y) = P(x,y) + (3,0)[/tex] (2)
If we know that [tex]O(x,y) = (-4,2)[/tex], [tex]N(x,y) = (3, 6)[/tex] and [tex]M(x,y) = (0,3)[/tex], then the resulting points are, respectively:
Point O'
Translation
[tex]O'(x,y) = O(x,y) + (3,0)[/tex]
[tex]O'(x,y) = (-1,2)[/tex]
Reflection
[tex]O''(x,y) = O'(x,y) -2\cdot [O'(x,y) -(x_{O'},1)][/tex]
[tex]O''(x,y) = (-1,2) -2\cdot [(-1, 2)-(-1,1)][/tex]
[tex]O''(x,y) = (-1, 0)[/tex]
Point N'
Translation
[tex]N'(x,y) = N(x,y) + (3,0)[/tex]
[tex]N'(x,y) = (6,6)[/tex]
Reflection
[tex]N''(x,y) = N'(x,y) -2\cdot [N'(x,y) -(x_{N'},1)][/tex]
[tex]N''(x,y) = (6,6) - 2\cdot [(6,6)-(6,1)][/tex]
[tex]N''(x,y) = (6,-4)[/tex]
Point M'
Translation
[tex]M'(x,y) = M(x,y) + (3,0)[/tex]
[tex]M(x,y) = (3,3)[/tex]
Reflection
[tex]M''(x,y) = M'(x,y) -2\cdot [M'(x,y) -(x_{M'},1)][/tex]
[tex]M''(x,y) = (3,3) - 2\cdot [(3,3)-(3,1)][/tex]
[tex]M''(x,y) = (3,-1)[/tex]
The new vertices are [tex]O''(x,y) = (-1, 0)[/tex], [tex]N''(x,y) = (6,-4)[/tex] and [tex]M''(x,y) = (3,-1)[/tex].
Charnika has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Charnika withdraw money from her account?
A: –10 or less
B: –10 or greater
C: 12 or less
D: 12 or greater
ANSWER:
D) 12 or greaterStep-by-step explanation:
Total money Charnika has = $500
The money she wants to save = $200
Amount of money she can spend = $ (500 - 200)
= $300
Amount of money withdrawn in every week = $25
The number of weeks the money can be withdrawn = $ (300÷25)
= $ 12
HOPE IT HELPS
IF YOU LIKE IT THEN PLEASE MARK ME BRAINLIEST
i’m having trouble with this problem
Answer:
8 of the 28 horses would be palomino horses
Step-by-step explanation:
First off, we understand that there are 10 palomino horses and 25 others, meaning there are 35 total.
The question wants to know that if 28 horses came out, how many of them would be palomino horses.
We know that the palomino horses are [tex]\frac{10}{35}[/tex]
What we need to know is [tex]\frac{x}{28}[/tex]
to find x, we cross multiply
[tex]\frac{10}{35} = \frac{x}{28}[/tex]
10 x 28 and 35 x X
280 = 35x
Divide both sides by 35
x = 8
8 of the 28 horses would be palomino horses
A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 70 for homework, 75 for the quizzes, 65 for the midterm and 88 for the final exam. What will be the student’s class grade?
It should be surprising if someone told you the average height of all respondents was actually 1.69 meters. TRUE/FALSE?
True
False
If f(1)=6 and f(n)=f(n-1)+2 then find the value of f(6)
Answer:
Step-by-step explanation:
Answer:
f(6) = 16
Step-by-step explanation:
In the next steps we use this formula : f(n)=f(n-1)+2
Since f(1)=6 then f(2)=f(2-1)+2 = f(1)+2 = 6+2 = 8
f(2)=8 then f(3)=f(3-1)+2 = f(2)+2 = 8+2 = 10
f(3)=10 then f(4)=f(4-1)+2 = f(3)+2 = 10+2 = 12
f(4)=12 then f(5)=f(5-1)+2 = f(4)+2 = 12+2 = 14
f(5)=14 then f(6)=f(5-1)+2 = f(4)+2 = 14+2 = 16.
Manatees are an endangered species of herbivorous, aquatic mammals found primarily in the rivers and estuaries of Florida. As part of its conservation efforts, the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters. Of the 392 recorded manatee deaths in 2012, 68 were perinatal and 81 were caused by collision with a watercraft.
Required:
a. What is the probability that the death of a randomly selected manatee was due to collision with a watercraft?
b. What is the probability that the death was not due to collision with a watercraft?
c. What is the probability that the cause of death was due to perinatal problems or collision with a watercraft?
Answer:
a) 0.206 , b) 0.794 , c) 0.38
Step-by-step explanation:
a) Prob(watercraft collision death)= Watercraft collision deaths / Total deaths = 81 / 392 = 0.206
b) Prob (Death non watercraft collison) = 1 - Prob (Death watercraft collision) = 1 - 0.206 = 0.794
c) Prob (Prenatal or watercraft collision death) = (68 + 81) / 392 = 0.38
write the equation in standard form: 4x - 3 = 5y
Answer:
4x−5y=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please need help on this one
Answer:
it is 7
Step-by-step explanation:
so i did guess and check
i went two how many time something can go into 28 and i pick four so after you do 2(4)-1 you get 7
so then u add 7 +7 and u get 14 the i just put 7 for the other on b/c ur finding ur perimeter
Which conic section is represented by the following equation?
5x2 – x + 5y2 – 3y + 4 = 0
Circle
Ellipse
Parabola
Hyperbola
Answer:
A. circle
Step-by-step explanation:
Answer:
A: Circle!
Step-by-step explanation:
Edge 2022
Can someone please help I’ll BRAINLIEST who ever tells me the answer
Answer:
its 4*4 which equals 16
Step-by-step explanation:
Find the discriminant and the num
x2 + 2x + 7 = 0
A. 28; two real roots
Answer:
Discriminant = -24, no real roots.
Step-by-step explanation:
The discriminant is what's inside the square root in the quadratic formula.
The quadratic formula is:
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
a = 1
b = 2
c = 7
The question wants the discriminate, we can just focus on the square root part.
When we plug in the parts we got, it becomes:
[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]
Since the inside of the square root is negative, there are no real roots.
What is the sum of 3+(-5)?
Answer:
Your answer is -2 hope this helps
Answer:
The sum of 3+(-5)=-2 ......
Triangle Theorems I need helpppp
The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below. (Look at picture)
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work?
(Please make answer simple yet reasonable. Thank you for answering, have a blessed day everyone! I am thankful to have people to help and support me.)
By using trigonometric relations we will see that the area is:
[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
https://brainly.com/question/2217700
#SPJ1
Answer:
the guy on top is correct
Step-by-step explanation:
Need help with these math problems
Answer:
1. 34 sq.m.
2. 21 sq.m
3. A square pyramid has 1 square base and 4 triangular faces.
a. 36 square centimeters
b. 48 square centimeters
c. 84 square centimeters
4. a. 248 square centimeters
b. 1240 square centimeters
5. 140.8 square centimeters
How do you put (x-2) (x+2) in standard form?
Answer:
[tex]x^{2}[/tex]−4
Step-by-step explanation:
An item is regularly priced at $35. It is now priced at a discount of 65% off the regular price.
Answer:
the final price of the item wud be 15.75
Step-by-step explanation:
Express as a sum: m-n
Answer:
-n+m
Step-by-step explanation:
beans
Answer:
m + (-n)
Step-by-step explanation:
m + (-n) is the same thing as m - n, but it is still a sum, so that is the answer.
need help horribly geometry question
Answer:
23.31 ft
Step-by-step explanation:
Reference angle = 47°
Opp = 25 ft
Adj = x
Apply trigonometry ratio TOA:
Tan 47 = Opp/Adj
Tan 47 = 25/x
x*Tan 47 = 25
x = 25/Tan 47
x = 23.3128772 ≈ 23.31 ft (to 2 d.p)
What is the area of this parallelogram? O 28 m2 O 56 m2 0 84 m2 0 120 m2
Answer:
area of parllelogram=base×height=(4+8)×7=12×7=
84m²
how is statement. B related to statement A
A if two angles are supplementary, the sum of their angles is 180 degrees. B. if the sum of the measured of two angles is not 180, then the two angles are not supplementary.
Answer:true.the given information is 100% right.
Step-by-step explanation:
A certain group of women has a 0.67% rate of red/green color blindness. If a woman is randomly selected what is the probability that she does not have red/green color blindness?
Answer:
1-0.0067=0.9933 (just add zeros)
Step-by-step explanation:
Erica is playing target one fraction. She has these cards: 1,2,3,4,6. Write an expression for the number Erica will solve
Answer:
in my understanding I think you take the 1/6 because you have to find only one card that would make a fraction
10 ft
8 ft
6 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [ ? ] ft2
Notice that only half of the circle is included in the figure!
Enter
*© 2003 - 2021 Acellus Corporation. All Rights Reserved.
Answer:
A=49.12
Step-by-step explanation:
A= bh/2 + πr²/2= 6*8/2 + 16π/2=49.12ft
Equation Editor Solve -32= -1db for b.
Express the solution as a fraction or mixed
number in simplest form.
Answer:
1+1=2
2+2=4
4+4=8
8+8=16