Jessica decides to mix grades of gasoline in her truck. She puts in 8 gallons of regular and 8 gallons of premium for a total cost of $41.04. If premium gasoline costs $0.21 more per gallon than regular, what was the price of each grade of gasoline?
Answer:
The price of the regular gasoline is $2.46, while the premium is $2.67.
Step-by-step explanation:
Let the price of regular gasoline be "x", while the price for the premium be "y", The sum of the amount of each type of gas multiplied by its cost should be equal to the total paid, therefore:
[tex]8*x + 8*y = 41.04[/tex]
We also know that the premium gas costs 0.21 more than the regular one, therefore:
[tex]y = x + 0.21[/tex]
We can apply the second expression on the first, in order to solve for "x".
[tex]8*x + 8*(x + 0.21) = 41.04\\8*x + 8*x + 1.68 = 41.04\\16*x = 41.04 - 1.68\\16*x = 39.36\\x = \frac{39.36}{16} = 2.46[/tex]
[tex]y = 2.46 + 0.21 = 2.67[/tex]
The price of the regular gasoline is $2.46, while the premium is $2.67.
What is the approximate value of tan C?
B
13.93
5
13
Answer:
B you need to plug it in the calculator
The approximate value of tan C is 0.38 (Option D).
To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:
Hypotenuse (c) = 13.93
Base (b) = 13
Height (a) = 5
The tangent of angle C is defined as the ratio of the height (a) to the base (b):
tan C = a / b
tan C = 5 / 13
Now, let's calculate the approximate value of tan C:
tan C ≈ 0.3846
Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.
Therefore, the approximate value of tan C is 0.38.
To know more about tan, refer here:
https://brainly.com/question/12754887
#SPJ2
Complete Question:
What is the approximate value of tan C?
what is the sign of -a^4/3 when a is less than zero
A positive
B negative
C zero
Reasoning:
'a' is less than 0, so we write a < 0
Since a < 0, this means a^4 > 0. Raising a negative to an even exponent will make the result positive. Example: (-2)^4 = 16
Applying the cube root to some positive number leads to some other positive number.
So far we see that the expression a^(4/3) is positive
The final result however is negative because the negative out front flips things from positive to negative.
It turns out it doesn't matter if 'a' is positive or negative. As long as 'a' is nonzero, then -a^(4/3) is negative. If a = 0, then the whole thing is 0.
What does BC equal? Round your answer to the nearest tenth.
A. 22
B. 15.01
C. 2.14
D. 455
[tex]answer \\ = 15.01 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
I need help pleas help me it’s worth 38 pointsss I need help asap
Answer:
C
Step-by-step explanation:
The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!
(n + 18)
(2n)
What is the value of n
Answer: if this is what you wanted ,I think that n=0 and /or n= -18
Step-by-step explanation:
In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.
HELP ME FOR BRIANETEST
As indicated on the number line 1/3 is the same as 2/6 so we get
Answer: 2/6 + 5/6 = 7/6
5. Write down the nth term of each of the following G.Ps
whose first two terms are given as follows. Also find
the term stated besides each G.P. i) 12,-3b,......sixth term
Answer:
1i) nth term = 12(-b/4)^(n-1)
ii) nth term = 3(-1/9)^(n-1)
2i) Sixth term= (-3b^5)/256
ii) Eight term = -1/1594323
Question:
The complete question as found on brainly (question-10746111):
Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.
i) 12,-3b,......sixth term
ii) 3,-1/3,..........;8th term?
Step-by-step explanation:
1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.
i) 12,-3b,......;sixth term
1st term = a= 12
r = common ratio = 2nd term /1st term
r = -3b/12 = -b/4
Then we would find the nth term
See attachment for details
ii) 3,-1/3,..........;8th term
1st term = a= 3
r = common ratio = 2nd term /1st term
r = (-⅓)/3 = (-⅓)(⅓) = -1/9
Then we would find the nth term
See attachment for details
2) we are to determine the sixth term in (i) and eight term in (ii)
See attachment for details
Sixth term= (-3b^5)/256
Eight term = -1/1594323
anybody please help me :( I’m so bad with graphing
Answer:
the correct answer is D
Anyone who can do this will be goated. B is the midpoint of segment AC Find the value of x. M is the midpoint of segment VW. Find the value of X
Answer:
The answer the to first image is X=2. The answer to the second image is X=4.
Step-by-step explanation:
solve ... 5x + 4 < 3 - 3x
Find the midpoint of the line segment.
Could someone explain how to solve these aswell?
Answer:
(-2, -3)
Step-by-step explanation:
The middle of the point. It covers two blocks so find the middle.
Or you can use the midpoint formula
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
(-2,-3) because it is in the middle of the line segment, between the two marked points
Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.
Answer:
The percentage change is -21%
Step-by-step explanation:
The percentage change can be expressed by the formula;
(new price -old price)/old price * 100%
New price = £150
old price = £189
Inputing these values in the formula, we have;
(150-189)/189 * 100%
-39/189 * 100%
= -20.63% and that is approximately -21%
HELP PlZ
Which of the following graphs represents the equation
y-4=3(x-1)?
Graph A.
Graph B.
Graph C.
Graph D.
Answer:
D
Step-by-step explanation:
The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!
Answer:
D is the answer
Step-by-step explanation:
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%,
92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
79%
82%
87%
92%
Answer:
79%
Step-by-step explanation:
median is the middle no.
arrange the scores in descending order
72,74,76,(78,80),82,92,92
78+80, divide 2= 79%
An airplane change in altitude before landing is shown in the table. What equation represents this change in altitude?
Answer:
a = -4,000m + 39,000
Step-by-step explanation:
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
12 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 6 so the radius is d/2 = 6/2 = 3
108 pi = pi (3)^2 h
108 pi = 9pi h
Divide each side by 9pi
108 pi /9pi = 9pi h/9pi
12 = h
Answer:
12cm in height
Step-by-step explanation:
A professor must randomly select 4 students to participate in a mock debate.
There are 20 students in his class. In how many different ways can these
students be selected, if the order of selection does not matter?
Answer:
Step-by-step explanation:
We can use combinations
20 choose 4:
20!/(16!*4!)
= (20*19*18*17)/4!
= 4845
can someone plz help
Answer:27/28
1/4+5/7
TakingLCM
7+20/28
27/28
Answer: 27/28
Step-by-step explanation:
1/4 + 5/7
= 7/28 + 20/28
= 27/28
Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?
Answer:
When Jeff travels more than 20 miles
Step-by-step explanation:
Let 'x' be the number of miles traveled by Jeff.
In order for the national car company to be less expensive, then the following condition must be met:
[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]
This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.
The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.
What is the price per shirt?
a.) $69
b.) $23
c.) $53
d.) $159
Answer:
23
Step-by-step explanation:
j = jeans
s = shirt
j + 3s = 114
jeans = 45
45+ 3s = 114
Subtract 45 from each side
45-45+3s = 114-45
3s =69
Divide each side by 3
3s/3 =69/3
s = 23
Each shirt is 23
Answer:
b.) 23
Step-by-step explanation:
114-45=69
69/3=23
Which expression is equivalent to this one??? Cuhhhhhhhhhh...,,,!!!
Answer : The equivalent expression of the given expression is 1.
Step-by-step explanation :
According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).
The given expression is:
(11²)⁴ ÷ 11⁸
First we have to solve bracket.
= (11)⁸ ÷ 11⁸
By dividing this expression, we get:
= 1
Therefore, the equivalent expression of the given expression is 1.
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.
Answer:
1.2Litres
Question:
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?
Step-by-step explanation:
Let the total punch bowl be = P
Portion of Orange juice = ½ of total punch bowl
= ½ × P = P/2
Portion of grape = ½ of the remaining space
Remaining space = P - P/2 = P/2
Portion of grape = ½ × P/2 = P/4
The rest of the punch bowl is for cherry = 300mL
P/2 - P/4 = 300
(2P - P)/4 = 300
P/4 = 300
P = 300×4
P = 1200mL
1mL = 10^(-3)L
P = 1.2 ×10³ × 10^(-3)L
P = 1.2L
Wes made 1.2liters of fruit punch.
The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Elm and Oak stations. Write your answer to the nearest tenth of a mile.
Answer:
4.5 miles
Step-by-step explanation:
On the graph,
Elm station is located at (-3,-6)Oak station is located at (-1,-2)We use the distance formula to find the distance between Elm and Oak.
[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=\sqrt{(-1-(-3))^2+((-2)-(-6))^2} \\=\sqrt{(-1+3)^2+(-2+6)^2} \\=\sqrt{2^2+4^2}\\=\sqrt{20}$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)[/tex]
Which is the focus of a parabola with equation y2 = 4x?
0 (-1,0)
0 (0, -1)
0 (0, 1)
(1, 0)
Answer:
(1, 0)
Step-by-step explanation:
Please write this as y^2 = 4x; the " ^ " indicates exponentiation.
The appropriate equation for a horizontal parabola that opens to the right is
y^2 = 4px
Here, we are told that y^2 = 4x; this tells us that 4p = 4, and so p = 1.
Again, this parabola is a horizontal one and it opens to the right. p = 1 is the distance of the focus from the vertex, and in this case p = 1. Thus, the focus is at (1, 0) (situated on the x-axis).
Answer:
(1,0) 2022
Step-by-step explanation:
stop playing wit me
Probability: Please help me answer the question attached.
Answer:
most probably A part 1 by 12 . and i think it's also . d part 1 by 3
PLEASE HELP I AM TIMED PEOPLE
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?
A) a triangle that has the same dimensions as one of the sides of the pyramid
B) a triangle that does not have the same dimensions as one of the sides of the pyramid
C) a parallelogram that is not a rectangle
D) a rectangle
Answer:
B
Step-by-step explanation:
The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid
Answer: B
Step-by-step explanation:
How many different angle measures the two parallel and one crossing line can make?
Answer:
The answer is 2 different angles, 53° and 127°.
Explanation:
As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.
Which two of these are continuous data?
Answer:
B and D
Step-by-step explanation:
Age of Student --> Age of student is continues
Time taken to run one mile is also continues
Answer:
B and D
Step-by-step explanation:
Correctly identify the first step in solving the system of equations by using the elimination method given the following equations:
5x+y=5
10x+3y=20
Answer:
x=-1 and y=10
Step-by-step explanation:
-3(5x+y=5)
10x+3y=20
-15x-3y=-15
10x+3y=20
10x-15x+3y-3y=20-15
-5x=5
x=-1
5x+y=5
(-1)5+y=5
-5+y=5
y=10
