Answer:
x = - [tex]\frac{26}{3}[/tex]
Step-by-step explanation:
3(4x - 12) + 3 = 3x - 7 + 12x ← distribute parenthesis and simplify left side
12x - 36 + 3 = 15x - 7
12x - 33 = 15x - 7 ( subtract 15x from both sides )
- 3x - 33 = - 7 ( add 33 to both sides )
- 3x = 26 ( divide both sides by - 3 )
x = - [tex]\frac{26}{3}[/tex]
a motorist fills the petrol tank and travels a distance of 675km before the tank is empty.what is the car actual fuel consumption? give your answer in l/100
It can be deduced based on the distance given that the fuel consumption will be 8.44l/100km
How to calculate fuel consumptionIt can be deduced that they information is incomplete as you didn't give the amount of petrol filled. Therefore, an overview will be given.
Let's assume that the number of liters will be 57 liters. Therefore, the fuel consumption will be:
= liters/distance × 100.
= 57/675 × 100
= 8.44l/100km
In conclusion, the correct option is 8.44l/100km.
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Justify the last two steps of the proof. Help pls :)
Answer:
3. ST ≅ TS is a reflexive property
4. SSS (as we have just proved that all 3 corresponding sides are congruent)
Step-by-step explanation:
3. ST ≅ TS is a reflexive property
4. SSS (as we have just proved that all 3 corresponding sides are congruent)
What is the equation of a line that is perpendicular to the line y = -3x + 2 and passes through the point (6,8)?
Answer:
y = 1/3x+6
Step-by-step explanation:
y = -3x+2 is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is -3
Perpendicular lines have slopes that are negative reciprocals
The slope of the perpendicular line is -1/-3 = 1/3
The equation of the new line is
y = 1/3x +b
Using the point that passes through the line ( 6,8) and substituting in for x and y
8 = 1/3(6) +b
8 = 2+b
8-2 =b
6 =b
The equation becomes
y = 1/3x+6
Next question is here
Hope it improves you
Step-by-step explanation:
hope this helps you dear !
An empty luggage case weighs three point five kilograms. Sarah is allowed to carry a total fifteen kilograms on the plane. How much weight can she fit in her luggage case?
While shopping for clothes, Curtis spent $42 less than 3 times what Jaclyn spent. Curtis
spent $30. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent.
If there are 30 boys and 20 girls in a room, full out all the possible ratios of boys to girls that could be made.
sqrt2+sqrt2/sqrt2-sqrt5 what is the simplest form of the radical expression
Answer:
- (4+2sqrt10)/3
Step-by-step explanation:
The only reason this problem needs to be worked on is that you can't have a radical on the bottom of a fraction(rational expression) . We'll use the CONJUGATE of the denominator(expression on the bottom) to get rid of the radicals.
The conjugate has the same terms as the bottom expression, but it has the OPPOSITE sign in between. Your question has
(root2 - root5). Then the CONJUGATE is
(root2 + root5).
We can't just randomly change the denominator of a number, so we will have to multiply the top by
(root2 + root5) also.
see image.
Multiplying these terms is very similar to multiplying binomials. Use distributive property or, if you know the method, FOIL. You may have learned a box method. This multplication is shown with the arrows in the attached image.
see image.
Simplify the following
(5 - 6x-2x). (2.2 + 5x"
Answer:
6
Step-by-step explanation:
please help, i have no clue what i’m doing in trigonometry lol
At the park there is a pool shaped like a circle with diameter 24 yd. A ring-shaped path goes around the pool. Its width is 5 yd.
yd
24 yd
We are going to give a new layer of coating to the path. If one gallon of coating can cover 8 yd?, how many gallons of coating do we need? Note that coating
comes only by the gallon, so the number of gallons must be a whole number. (Use the value 3.14 for 1.)
Answer:106 gal
Step-by-step explanation:
step 1
Find the area of the path
we know that
The area of the path is given by the formula
where
r_2 is the radius of the pool plus the width of the path
r_1 is the radius of the pool
we have
---> the radius is half the diameter
substitute
assume
step 2
Find the gallons of coating needed
Divide the area of the path by 5
so
Round up
therefore
106 gal
A melon weighs three-fourths of a kilogram. How much is its weight in grams?
Answer:
750 or 3/4
Step-by-step explanation:
multiply the mass value by 1000
Find three ratios are equivalent to 4/9  8/36 or 8/27 or 16/27 or 16/36 or 12/27 or 12/36
Answer:
4/9 16/36 12\27 are all equivalent fraction
Answer:
16/36, 12/27 are equivalent to 4/9.
Step-by-step explanation:
Hope this helps!
Consider the following variable: the number of people in a household. This variable is best categorized as a ______ variable.
Answer:
continuous numeric variable as there is an infinite number of real values within a given interval.
Find quotient 10/6 / 1/ 24
Answer:
40
Step-by-step explanation:
Quotient means dividing so we must divide 10/6 by 1/24.
10/6 ÷ 1/24
10/6 * 24/1 = 40 <--- Multiply by the reciprocal in order to divide.
Final Answer: 40
I hope this helps! :)
Coordinates of ( -12,-20)
Answer:
demos graphing calculator
hope this is what you were looking for !
Chris needs a 15% down payment to purchase a $206,000 home. How much money does Chris need for a down payment?
Answer:
the answer is 30'900
Step-by-step explanation:
15% of 20600 is 30'900, sorry if i am wrong but i believe thats correct.
bro i need this these answers some help T_T
Write and solve a proportion to complete the statement. Round your answer to the nearest hundredth.
90 lb - kg
Answer:
99
Step-by-step explanation:
2: Write out a system of equations that has infinite solutions. Explain why it has infinite
solutions, and what that means.
Answer:
Below!
Explanation:
A system of equations with infinite solutions defines that both the equations are identical and are overlapping when the lines are graphed. An example could be y = 5x + 9 and y = 5x + 9. These sets of equations have infinite solutions because they are the same and when graphed, they overlap.
Hoped this helped!
Given f(x) = 3x^3+ kx – 11, and x – 1 is a factor of f(x), then what is the value
of k?
let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
[tex]f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k[/tex]
I need help to factor 8x - 14, please help.
Answer:
2(4x-7)
Step-by-step explanation:
1. In a classroom of the students are wearing blue shirts, and
$are wearing white shirts. There are 36 students in the cias.
How many students are wearing a shirt other than blue or
white?
Answer:
x
Step-by-step explanation:
It does not say the number of how many people are suing blue or white.
Which equation represents the line shown on the coordinate grid below
(0, -2)
2
4
- 4
-6
-8
-10
2
AY=
2
NON
B
2
y =
-2 +5
5
2
y
-2 + 5
2
DY
2
Answer:
D> y = (2/5)x - 2
Step-by-step explanation:
See attached
A cylinder has a height of 14 centimeters and a diameter of 16 centimeters. What is its
volume? Use a ~ 3.14 and round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
[tex]Solution,\\Height(h)=14cm\\Diameter(d)=16cm\\Radius(r)=16cm/2=8cm\\\\Now,\\\\Volume=\pi r^{2}h \\\\Volume=3.14*(8cm)^{2} *14cm\\\\Volume=2813.44cm^{3}[/tex]
Point C is located at (1, 2), and point D is located at (−4, −2). Find the x value for the point that is 1 over 4 the distance from point C to point D. −0. 25 −1. 5 −2. 75 −4.
The distance from point C to point D is -0.25.
Given
Point C is located at (1, 2) and point D is located at (−4, −2).
Let Coordinates of A= (x, y)
A point is located 1/4 the distance from C to D.
So the remaining distance from point A to D is 3/4
Thus the ratio of CA : AD = m :n = 1: 3
What is the section formula?When point C divides a segment AB in the ratio m:n, we use the section formula to find the coordinates of that point.
[tex]\rm Distance \ from \ point \ C\ to \ D = \dfrac{mx_1+nx_2}{m+n}\\\\ Distance \ from \ point \ C\ to \ D = \dfrac{1(-4)+3(1)}{1+3}\\\\ Distance \ from \ point \ C\ to \ D = \dfrac{-4+3}{5}\\\\ Distance \ from \ point \ C\ to \ D = \dfrac{-1}{5}\\\\ Distance \ from \ point \ C\ to \ D = -0.25[/tex]
Hence, the distance from point C to point D is -0.25.
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Which is largest or most broad category in taxonomy?.
The kingdom is the widest category, it includes other categories such as phylum, genus, order, and many more.
What is taxonomy?Taxonomy is defined as the scientific method of classifying, identifying, and naming living organisms.
In the hierarchy of living organisms, the largest group of organisms is the Kingdom. This is followed by:
Phylum
Class
Order
Family
Genus and
Species (which is lowest in the hierarchy).
The species is the smallest unit of classification.
The kingdom is the widest category, it includes other categories such as phylum, genus, order, and many more.
It is the most specific because the individuals within a species are:
Identical in appearance,Closely related andCan mate with one another to produce fertile offspring.Therefore, species are the most specific in modern taxonomy.
To know more about Taxonomy click the link given below.
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Answer:
I believe it is genus
Step-by-step explanation:
How many miles are there in 86.88 kilometers?
Answer:
53.935
Step-by-step explanation:
simple mathjdjdjdjdudid
Josef and Timothy play a game in which Josef picks an integer between 1 and 1000 inclusive and Timothy divides 1000 by that integer and states whether or not the quotient is an integer. How many integers could Josef pick such that Timothy's quotient is an integer
Please help, I would really appreciate it.
Answer:
B - (0,4)
Step-by-step explanation:
should be right :p
