PLEASE HELP ASAP
Chris stopped for gas twice on a long car trip The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon. On the trip, Chris bought a total of 20 gallons of gas and spent $29.80. If x = the number of gallons that Chris bought at the first station, and y = the number of gallons Chris bought at the second station, which system of equations could be used to find the number of gallons of gas Chris bought at each station.
A.1.45x + 1.55y = 20 and x + y = 29.80
B. x + y = 20 and 1.45x + 1.55y = 29.80
C. x + y = 20 and 1.45x - 1.55y = 29.80
D. xy = 20 and 1.45x + 1.55y = 29.80
The system of equations could be used to find the number of gallons of gas Chris bought at each station is,
B. x + y = 20 and 1.45x + 1.55y = 29.80.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Chris stopped for gas twice on a long car trip.
The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon and filled a total of 20 gallons of gas and cost him a total of $29.80.
Therefore the system of linear equations that represents the context is,
x + y = 20 and 1.45x + 1.55y = 29.80.
learn more about linear equations here :
https://brainly.com/question/29739212
#SPJ1
27. Francis bought two dresses and one pair of shoes for $70.50, before tax. The shoes cost $15.00 more than one dress. How much did the pair of shoes cost?
Answer:
The pair of shoes cost $33.50
Step-by-step explanation:
let the cost of dresses be d and the cost of shoes be s
2 dresses and 1 shoe pair cost $70.5
2d + s = 70.5 •••••(i)
Shows cost $15 more than one dress
s = d + 15
d = s-15 ••••(ii)
Substitute ii into i
2(s-15) + s = 70.5
2s -30 + s = 70.5
3s = 70.5 + 30
3s = 100.5
s = 100.5/3
s = $33.50
When studying for his test, Joe found a z-score for the weight of a particular rock to be 1.48
What does this z-score mean in the context the distribution of data collected from the weights of all rocks studied.
Answer:
it is about 99% on a graph
Step-by-step explanation:
What is the inverse of the inverse of P → Q?
The inverse of ∼P→∼Q is P->Q.
Given ∼P→∼Q
Its inverse, ∼(∼P)→∼(∼Q), means that P→Q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue. A conditional statement that has been modified or rearranged is referred to as a related conditional. An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. It is noted that p→q. Read this: if p, then q.
To learn more about inverse here:
https://brainly.com/question/2541698
#SPJ4
how to solve this? which i have to find the height.
Answer:
h = 3
Step-by-step explanation:
We can see a triangle with a base equal to (1/2)×6 or 3 with a hypotenuse of 3×sqrt(2). So we can use the Pythagorean theorem to solve for height h:
hyp^2 = b^2 + h^2
h^2 = hyp^2 - b^2
[tex] {h}^{2} = {(3 \sqrt{2}) }^{2} - { 3}^{2} = 9[/tex]
or h = 3
25PTS 25PTS don’t have to explain
Answer:
y = 3x - 2
Step-by-step explanation:
The height (h) in meters, of an item d days
can be modeled using the equation, h(d) = 3(5/4)^x
What does the fraction 5/4
represent in this equation?
Therefore, the fraction 5/4 in this equation represents the growth factor of the height of the item over time.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
Define numerator or denominator.The total number of equally sized components chosen is shown in the numerator. The denominator, however, shows the total number of equal pieces.
The fraction 5/4 in this equation represents the growth factor of the height of the item over time. The value of 3 in front of the fraction is the initial height and the exponent x represents the number of days that have passed, so the height of the item increases by a factor of 5/4 for every additional day. The height equation represents exponential growth.
To know more about Equations visit: https://brainly.com/question/29657983
#SPJ4
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W/(10) =
(V-W(10) =
(VW(10) =
Identify one exterior angle.
Help please
Morgan collects toy horses. she has 34 in her collection. she got 23 horses for her birthday. she dropped a box and broke 5 of them. how many toy horses does she has now
Answer:
34 + 23 = 57
57 - 5 = 52
Therefore, she has 52 toy horses.
Name 3 things that you need to know to know somethings volume. (teacher didn’t say what)
Answer:
The area of the base and the height of the object
Step-by-step explanation:
you need to know these so you can us the formula B x H = V
B = base
H = height
V = volume
whats 4x4-2+4-4-4-4-4-4-4-4+20+10
Answer:
16
Step-by-step explanation:
use desmos
Answer: 20
Step-by-step explanation:
4x4-2+4-4-4-4-4-4-4-4+20+10 = 20
18
The table shows information about the numbers of points scored by 28 students in a quiz.
Number of points
0
1
2
3
4
5
(a) Find the modal number of points.
(b) Work out the total number of points scored.
Frequency
5
4
5
5
6
3
(1)
Consequently, this student's quiz results have a median, or "middle," value of 16.
Define median.When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.
Here,
the median, or "middle" value in a data set. Your data must be in numerical order in order to calculate the median.
Exam results:
9, 13, 20, 15, 18, 17
Number the rows and columns.
9, 13, 15, 17, 18, 20
Calculate the "middle" value:
9, 13, 15, 17, 18, 20
If there are two middle values, put them together and divide by two.
15 + 17 = 32
32/2 = 16
Consequently, this student's quiz results have a median, or "middle," value of 16.
To know more about median , visit
https://brainly.com/question/28060453
#SPJ1
Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles
Answer: [tex]6+2log_{2} 6[/tex]
Step-by-step explanation:
[tex]S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )[/tex]
[tex]h_{1} = log_{2}2=1[/tex]
[tex]h_{2} = log_{2}4=2[/tex]
[tex]h_{3} = log_{2}6[/tex]
[tex]S = 2(1+2+log_{2}6) = 6+2log_{2}6[/tex]
-(-10x-6)-6=-9x
Solve for x
Answer:
x=0
Step-by-step explanation:
Solving the equation:
10x+6-6=-9
10x=-9x
19x=0
x=0
Find the exact value of tan A in simplest radical form.
========================================================
Work Shown:
The tangent ratio involves the opposite over adjacent.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = sqrt(75)/5
tan(A) = ( 5*sqrt(3) )/5 .... see the section below
tan(A) = sqrt(3)
---------------------------
sqrt(75) = sqrt(25*3)
sqrt(75) = sqrt(25)*sqrt(3)
sqrt(75) = 5*sqrt(3)
Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1
c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15
Answer:
the value is 4
Step-by-step explanation:
A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250. What is the population
On solving the provided question, we can say that by mean score the population will be 20192
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:Divide by how many digits there are after adding up all the digits. the total divided by the count.
A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250
200/4
= 50
50*e^{-2}
the population will be 20192
To know more about mean visit:
https://brainly.com/question/30094057
#SPJ4
a line is parallel to the y=x-8 and intersects the point (4,-9). What is the equation of this parallel line? Start by entering this into point-slope form
Answer:
sry i dont no
for large parties a restaurant adds a 15 service charge. how much would be added to a bill of $638.40
Answer: $95.76
Step-by-step explanation:
If the 15 is referencing 15%.
15% of 638.40 can be found by making 15% a decimal by moving the decimal to the left twice.
.15 X 638.40= 95.76
ALGEBRA 2 - Exponential and Logarithmic Functions
April invests $500 in an account that is compounded continuously at an annual interest rate of 5%. Approximately how many years will it take for April’s money to double?
Answer:
It will take approximately 14.2 years for April’s money to double.
Step-by-step explanation:
Answer to this question pls
It would change to about 9. 960 atmospheres
How to determine the valueFollowing the Boyle's law of gases which states that the product of pressure and volume is exactly a constant for an ideal gas.
This is represented as;
PV = K
then,
P₁V₁ = P₂V₂
From the information given, we have that;
P₁ = 8.9 atmospheresP₂ = unknownV₁ = 4. 7 litersV₂ = 4. 2 litersNow, substitute the values
8. 9(4. 7) = P₂(4. 2)
mulitply the values
41. 83 = P₂(4. 2)
Divide both sides by 4.2
P₂ = 9. 960 atmospheres
Hence, the value is 9. 960 atmospheres
Learn more about Boyle's law here:
https://brainly.com/question/26040104
#SPJ1
•35 POINTS• (it’s not SAS)
1.SSS
2.ASA
3.SAA
Answer:
SAA
Step-by-step explanation:
What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)
The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).
Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.
Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional interceptsIn the given graph, the plane intercepts are:
x-intercept : 1
y-intercept : ∞ (since the planes does not intercept y-axes)
z-intercept = 1/2
Take the reciprocal:
1/1 = 1
1/∞ = 0
1/(1/2) = 2
Hence, the miller indices are (102)
The graph in your question is missing. Most likely it was like on the attached picture.
Learn more about Miller indices here:
https://brainly.com/question/14616708
#SPJ4
help me please!
- no fake answers/links please.
Answer: C
Step-by-step explanation:
Just go 2 units up on the grid and one to the left
Answer:
(3,6)
Step-by-step explanation:
First, find the coordinate of the school. The school is at (4,4).
Coordinates are written as (x,y). x represents the side to side coordinate, and y represents the up down coordinate. so if the house is one unit left of the school, subtract one from the x coordinate to get 3. if the house is two units up from the school, add 2 to the y coordinate to get 6. and there you go!
what is the volume of this triangular prism? the base is 12 ft the height is 6 ft and the bottom is 20 ft
Answer:
720 [tex]ft^3[/tex]
Step-by-step explanation:
Answer:
720 ft³
Step-by-step explanation:
Volume = Area Triangle times Length
Area triangle = 1/2(6x12) = 1/2(72) = 36 ft²
Volume = 36 ft² x 20 ft = 720 ft³
Volume = 720 ft³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A new music festival was launched in Nashville. The first year, 150,000 people attended. They project the attendance to rise by 8% each year. How many people will attend the festival in 3 years?
help please this is hard for me-
Answer:
Um u have to move the protractor to get ur answer i cant look at it and see the answer i think thts why they gave the protractor
Step-by-step explanation:
B is the circumcenter of △ADG. find AE and DG
When B is the circumcenter of triangle ADG the lengths of AE and DG are 4 and 12 respectively
What is circumcenter in a triangle?The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle.
In other terms, the circumcenter is the point at which the bisector of a triangle's sides coincides.
The perpendicular lines radiating from the sides of the triangle are the bisectors hence the line it radiates from shares the is shared into two halves at that point
Having this in mind
AE = DE = 4
and
DF = GF = 6
Also, DF + GF = DG
DG = DF + DF
DG = 6 + 6
DG = 12
Learn more about circumcenters at:
https://brainly.com/question/21299234
#SPJ1
(a) Write down the value of xº
Given that 2-3 x 2⁹ = 2n
(b) find the value of n
From the equation (2-3 x 2⁹ = 2n), the value of n is -767.
What is the equation?A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.
The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Given data :
2-3 x 2⁹ = 2n
= 2n = 2 - 3 .
= 3 . = 1536
= 2n = 2 - 1536
= 2n = -1534
Divide both sides by 2
= 2n/2
= -1534/2
n = -767
To know more about equation visit:
brainly.com/question/2972832
#SPJ1