Answer:
13916.6m^3
Step-by-step explanation:
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
5.) Solve the proportion. *
2
m - 6
7.
m - 8
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
About 68% of the vehicles have a gas mileage greater than 24 mpg.
About 32% of the vehicles have a gas mileage greater than 24 mpg.
About 84% of the vehicles have a gas mileage greater than 24 mpg.
About 16% of the vehicles have a gas mileage greater than 24 mpg.
Answer:
Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg
Are these shapes congruent??
Answer:
No
Step-by-step explanation:
Suppose a vertebrate has a disease that affects its skeleton.
Which sentence best describes a difficulty the vertebrate may have?
A. It would have difficulty interpreting information.
B. It would have difficulty circulating blood.
C. It would have difficulty moving.
D. It would have difficulty breathing.
Answer:
If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3
btw I love ur connie pfp- :3
Step-by-step explanation:
:3
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
Answer:
let no of pigs=x
ducks=y
x+y=10.....(1)
4x+2y=36
2x+y=18....(2)
by(1)..y=10-x
putting vvalue
2x+10-x=18
x=8
ducks=8
how do you find the circumference of a circle
Answer:
circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter
Step-by-step explanation:
Answer:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Step-by-step explanation:
I hope the images help!!
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of regular hexagon
[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]
Answer:
41.57
Step-by-step explanation:
took the test
QUESTION IN THE PHOTO! NO WRONG ANSWERS PLS
Answer:
your answer should be 2
Step-by-step explanation:
hope it helps, have a wonderful day :)
Sea p(x) = 2x + 4, calcular p(5) + p(2
Answer:
the answer is 7p
Step-by-step explanation:
p(5)+p(2)=7p
Please help me figure this out
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2
Answer:
Option (4)
Step-by-step explanation:
Input values are always represented by the x values and output values of a function is represented by f(x).
From the table given,
Values under x column are the input values and values under f(x) or gx) column are the output values.
From both the tables, common output values for the same input value (x = 1) are,
f(1) = 3
g(1) = 3
Therefore, Option (4) is the answer.
The input value that produces the same output value for both functions is: D. x = 1
What is a Function?A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.
In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).
Thus, [tex]f(1) = g(1) = 3[/tex]
Therefore, the input value that produces the same output value for both functions is: D. x = 1
Learn more about a function on:
https://brainly.com/question/10439235
Math riddle here
The sum of all the four numbers is 31.
Only one of number is odd.
The subtraction of the lowest number from the highest number is 7.
If you subtract two of the middle numbers, it equals two.
What four numbers am I thinking of ?
Answer:
15+8+6+2=31
Step-by-step explanation:
highest no. is 15
15-7=8
31-15-8=8
middle number 8
8-6=2
CHECK: 15+8+6+2=31
i don't know if my answer is right haha
i checked online it says the answer is 5,6,8,12
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
Pls pray for me of this is the last one-
1.
Solve 17 - X = 1 + 3X
Answer:
X = 4
Step-by-step explanation:
17 -X = 1 +3X
NOTE: PUT X IN ONE SIDE AND THE NUMBER IN OTHER
so 17 -X = 1 +3X so it will be 3x + x = 4x
then 17 - 1 = 16
4 divide by 16 = 4
so X = 4
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?
Answer:
x(x+2)(x+3)
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10
Richard sells cupcakes at a school bake sale for $1.25 each. The amount of money, m, that he makes and the number of cupcakes he sells, c, are related. Which variable is the Independent Variable and which variable is the Dependent Variable? Independent Variable: Dependent Variable:
Answer:
Independent: Number of cups he sells
Dependent: Amount of money he makes
Step-by-step explanation:
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour
Answer: 20 hr
Step-by-step explanation:
Given
The depth of accumulated snow is [tex]d=10\ in.[/tex]
Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]
Time taken for complete melting of snow is
[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Find the area of the kite
Given:
A figure of a kite.
To find:
The area of the given kite.
Solution:
The area of a kite is the half of the product of its diagonals.
[tex]A=\dfrac{d_1d_2}{2}[/tex] ...(i)
Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.
From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.
[tex]d_1=12+8[/tex]
[tex]d_1=20[/tex]
Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.
Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]13^2=x^2+12^2[/tex]
[tex]169-144=x^2[/tex]
[tex]25=x^2[/tex]
[tex]5=x[/tex]
The length of second diagonal is:
[tex]d_2=2x[/tex]
[tex]d_2=2(5)[/tex]
[tex]d_2=10[/tex]
Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get
[tex]A=\dfrac{20\times 10}{2}[/tex]
[tex]A=\dfrac{200}{2}[/tex]
[tex]A=100[/tex]
Therefore, the area of the kite is 100 square units.
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5
Can someone explain what the GFC is to me pls. Step by step explanation.
Answer:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Step-by-step explanation:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Step-by-step explanation:
Example: 6,8,20
6-1,2,3,6
8-1,2,4,8
20-1,2,4,5,20
GCF is 2
Solve the equation for a.
3a+13.61=−9.43
What is the value of a that correctly solves the equation?
Enter your answer as a number with two decimal places, like this: 4.25
Do not round your answer.
Answer:
a=-7.68
Step-by-step explanation:
3a+13.61=-9.43
-13.61
_____________
-23.04
3a=-23.04
-23.04/3= -7.68
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef