Answer:
$240.92
Step-by-step explanation:
From the question,
The distance traveled by the truck is directly proportional to the amount of petrol used.
I.e,
d ∝ v............... Equation 1
d = kv
d/v = k
d₁/v₁ = d₂/v₂............. Equation 2
Where d₁ and d₂ are initial and final distance respectively, v₁ and v₂ are initial and final amount of petrol used respectively.
Given: d₁ = 450 km, d₂ = 1050 km, v₁ = 35 liters
Substitute into equation 2 and solve for v₂
450/35 = 1050/v₂
v₂ = (1050×35)/450
v₂ = 36750/450
v₂ = 81.67 Liters.
If a liter of petrol cost $2.95,
Then,
81.67 liters will cost (81.67×$2.95) = $240.92
What is the area of the trapezoid below?
The equation y =f(x) is graphed on the coordinate plane. A function, g(x). is the result of translating the graph of fuxi to the left 2 units and up 4 units. Which is an equation for g(x)?
A)g(x)=f(x - 2)+4
B)g(x) = f(x + 2) + 4
C)g(x)=f(x-4)-2
D)g(x)=f(x + 4)-2
Answer:
A
Step-by-step explanation:
g
[tex]g(x) = f(x - 2) + 4[/tex]
A function assigns the value. The equation of the function g(x) will be f(x-2)+4.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x) is a function which is shifted two units to the right and 4 units upwards. Therefore, in the function f(x) we need to add -2 to the value of the x for the function to move right, while we need to add 4 to the overall function to move it four units upwards.
Hence, the equation of the function g(x) will be f(x-2)+4.
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Jay tossed two coins several times and then
recorded the results in the table below.
Coin Toss Results
Toss 1
H;H
Toss 2
H;T
Toss 3
T;T
Toss 4
T;T
Toss 5
T;H
What is the experimental probability that
the coins will land on different sides on his
next toss?
A.1/5
B.2/5
C.3/5
D.4:5
Answer: I'm pretty sure that the answer is a
Hope this helps :)
Step-by-step explanation:
Find the slope and Y-intercept, then graph
X - 3y = 9
Answer:
y≈ 1/3x -3
y intercept (0,-3)
Step-by-step explanation:
Click on a factor pair of 12
Answer:
Step-by-step explanation:
x 12 = 12.
x 6 = 12.
x 4 = 12.
x 3 = 12.
pls help! question is on the picture
Answer:
Uhhh
Step-by-step explanation:
Answer:
9/40
Step-by-step explanation:
Tan of an angle equals the length of the side opposite the angle divided by the length of the leg adjacent to the angle. Thus, for angle C, AB is opposite it, which is 9, and although both CA and CB are adjacent, adjacent typically refers to the leg, not the hypotenuse, so we want CB, which is 40. Opposite/Adjacent = 9/40
Find the volume of the triangular prism shown.
Answer:
70
Step-by-step explanation:
2x(3x5)=15 15x0.5=7.5 7.5+7.5=15
2x(5x11)=55
55+15=70
Cheese sticks that were previously priced at "10 for $1" are now "4 for $1". Find each percent change
Answer:
The price per cheese stick was increased by 150%.
The amount of cheese sticks per $1.00 has decreased by 60%.
Step-by-step explanation:
The price per cheese stick was $0.10
1.00 (dollar) divided into 10 (cheese sticks) gives you 0.1, which means each cheese stick costs $0.10The current price per cheese stick is $0.25
1.00 (dollar) divided into 4 (cheese sticks) gives you 0.25, which means each cheese stick costs $0.25That means the price per cheese stick was raised by 150%.
That also means the amount of cheese sticks you could buy for $1.00 has decreased by 60%.
Please help!!! I am being timed!!
Brainiest if corrected!!!
Answer:
D
Step-by-step explanation:
The starting number is 3
And they bring in 1 member each month
That can be shown with the last equation
Good luck!
To solve x^2+5x=0, mia rewrote the equation as x(x+5)=0. Explain how rewriting this equation in factor form enable mai to solve the equation.
The solution to the equation x² + 5x = 0 is x = 0 or x = -5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 5x = 0 be equation (1)
Now , on simplifying the equation , we get
On factorizing the equation , we get
Taking the common factor x ,
x ( x + 5 ) = 0
Now , x can take 2 values which will satisfy the given equation
when x = 0 or ( x + 5 ) = 0
when x = 0
Substitute the value of x in the equation , we get
0 ( 0 + 5 ) = 0
0 = 0
The equation is true when x = 0
And ,
when ( x + 5 ) = 0
Subtracting 5 on both sides of the equation , we get
x = -5
when x = -5
-5 ( -5 + 5 ) = 0
-5 x 0 = 0
0 = 0
The equation is true when x = -5
Hence , the solution is 0 , -5
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25) Which of the following rational
numbers is different from the others?
a) -5 -1
b) - 1 - 4
c) -4 -7
d) 11' 2'93
Between which two integers does √11 lie? and √8 lie? Step by step explanation please
Answer:
2 and 4
Step-by-step explanation:
Consider a perfect square smaller than 8 and a perfect square larger than 11
That is 4 and 16, then
[tex]\sqrt{4}[/tex] < [tex]\sqrt{8}[/tex] and [tex]\sqrt{11}[/tex] < [tex]\sqrt{16}[/tex] , that is
2 and 4
Answer: 3 and 4
Step-by-step explanation:
Find the total lateral area of the following
cone. Leave your answer in terms of .
4 cm
3 cm
LA = [ ? ]cm?
Hint: Lateral Area of a Cone = tre
Where e = slant height
Answer:
Step-by-step explanation:
Answer:
200π cm^2
Step-by-step explanation:
Sb = 8^2 π = 64π cm^2
a = sqrt2 [8^2 + 15^2] = sqrt2 [64 + 225] = sqrt (289) = 17 cm
Sl = 8x17xπ = 136 π cm^2
SA = 136π + 64π =200π cm^2
Hope it helps you
I tried a lot on this
Answer:
LA = 15 cm2
Step-by-step explanation: Trust me.
Multiply both polynomials together
Answer:
6x + 11x - 10
Step-by-step explanation:
So in order to solve this expression, we have to distribute the numbers in each set of parenthasis
Step 1 : break down each mini-espression you're solving
(2x+5)(3x-2)
each term is multiplied by both terms in the other set of parenthasis.
(2x · 3x) + (2x · -2) + (5 · 3x) + (5 · -2)
Step 2 : Solve each idividual piece
(2x · 3x) = 6x²
(2x · -2) = -4x
(5 · 3x) = 15x
(5 · -2) = -10
Step 3 : Put it all together amd simplify
6x² - 4x + 15x - 10
6x² + 11x - 10
Factor x^3 +5x^2- 24x
Step-by-step explanation:
(−3)(+8)
If the diameter of a circle is 16 cm, find it’s radius
Answer:
radius is 8cm
Step-by-step explanation: radius is half of diameter so 16/2= 8
Question
If the diameter of a circle is 16 cm, find it’s radius
soln'
diameter of circle=16cm
radius=?
now
radius formula=2 pie r where pie = 22/7
2*22/7*16
=96
write the mixed number 9 and 1/12 as a decimal
Hey there!
“Write 9 1/12 as a decimal”
9(12) + 1 / 12
9(12) = 108
108 + 1/ 12
108 + 1 = 109
109/12
109/12 = 9.083
Answer: 9.083
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?
x +
Answer:
6x+8
Step-by-step explanation:
Answer:
6x+8
Step-by-step explanation:
i just got i right
GEOMETRY HELP NEEDED!! find the value of x
Should be 8 since it's symmetrical
The function f(x) = x2+ 4 is defined over the interval [-2, 2]. If the interval is divided into n equal parts, what is the height of the right endpoint of the k^th rectangle?
Answer:
Following are the responses to the give question:
Step-by-step explanation:
The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].
Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]
Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height
[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]
9=y + 6 what does it equal
Answer:
3
Step-by-step explanation:
3 +6=9
Computers depreciate rapidly. If a new computer that costs $1200 loses 40% of its value every year, what is its worth 5 years from now?
Answer:
$96
Step-by-step explanation:
[tex]f(x)= a(1-r)^x[/tex]
a= initial amount
x= time in years
r= decay rate
[tex]f(x)= 1,200(1-0.4)^5[/tex] ≈
[tex]f(x)= 96[/tex]
which graph represents the function y=2/3x-2?
Help Math help help help ASAP
Answer:
Step-by-step explanation:
a) 2,35 x 10^9
b) 2,5 x 10^7
c) 9 x 10^4
The rabbit population in Scott County, which is currently at 2,900 rabbits, is increasing by
10% each year. How many rabbits will there be in 8 years?
If necessary, round your answer to the nearest whole number.
Answer:
6216
Step-by-step explanation:
This problem deals with exponential growth.
Final value: F
Present (initial) value: P
Rate of growth: r
Time in years = t
[tex] F = P(1 + r)^t [/tex]
[tex] F = 2900(1 + 0.1)^8 [/tex]
[tex] F = 6216 [/tex]
Answer: 6216
Can someone tell me how to answer this?
At the store, Craig bought 2 staplers and 4 pads of paper for $24. On
another day, he bought 3 staplers and 3 pads of paper for $21. How
much does each a stapler and a pad of paper cost?
Answer:
Step-by-step explanation:
2x+4y+24
3x+3y=21
What fraction is equal to 40% ?
Your Answer is:
4/10
Step-by-step explanation:
because 4 out of 10=40%...
Evaluate 32. (4 + 2) - 1 + (2.3)
A
15
В
23
C
54
D
57
Answer:
7.3
Step-by-step explanation:
Order of operations rules require that any work inside parentheses be done first. Thus,
(4 + 2) - 1 + (2.3) becomes 6 - 1 + 2.3
This, in turn, becomes 5 + 2.3, and the final result is 7.3.
Juan's earnings vary directly with the number of hours he works. Suppose that he worked 10 hours yesterday and earned $160. How much will he earn today if he works 13 hours?