Answers
Answer:
x = 3
Step-by-step explanation:
Multiply the first equation by -1, then add it to second equation.
2x+9y = -12
-2x-7y = 8
-------------------
2y = -4
Solve for y
2y = -4
y = -2
Plug value of y into one of the equations and solve for x
2x + 9(-2) = -12
2x = 6
x = 3
Related Questions
Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.
Answers
equation 1. 12x + 16y = $3700
equation 2. x + y = 250
In equation 2, x= 250-y — equation 3
Put equation 3 into 1,
12(250-y) + 16y = $3700
3000 - 12y + 16y = $3700
4y = $700
y = 175
Sub y = $175 into equation 2
x + 175 = 250
x = 75
The number of students ticket sold is 75 and the number of adult ticket sold is 175.
The quotient of a number and -2/3 is -9/10. What is the number?
Answers
Answer:
It's 0.6
Step-by-step explanation:
5€2345678910Which set of ordered pairs could be generated by an exponential function?06-1-5),(0,0), (5),(2,1)O (-1,-1), (0, 0), (1, 1), (2,8)0 (-15), (0, 1), (1, 2), (2,4)O (-1, 1), (0, 0), (1, 1), (2, 4)
Answers
Step 1
State the expression for an exponential equation
\(y=ab^x\)Step 2
Test option 3 to see if it qualifies to be generated by an exponential equation
\(undefined\)Steve says to find the difference in temperature between 7 AM and
12 PM Wednesday, he can use a number line. He says because one
temperature is negative and the other is positive, he can add together their
distances from 0.
Kelly says that she can find the change by subtracting -5.1 from the temperature
at 12 PM on Wednesday.
Who is correct? Use the drop-down menus to explain your reasoning and find the
change in temperature.
and the distance from 0 to the Wednesday 12 PM temperature is 2.5
Answers
Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.
By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.
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Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answers
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
In an isosceles triangle (a triangle where two of the three sides called legs are equal), the legs
are 1 unit less than twice the length of the base. If the length of the base of the triangle is
represented by x, create an expression that represents the perimeter of the triangle.
Answers
Answer:
it has 3 angles and that angle is x
m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answers
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
For Christmas you want to get your parents a framed family picture. At the framing store, there are 4 different styles each available in 5 different colors. You decide to use a blue mat board and there are 3 different shades of blue to choose from. How many different frames can you create?
Answers
The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,
Calculate the total number of frames, we can create as shown below,
The number of frames = different styles available for blue color × shades of blue
The number of frames = 4 × 3
The number of frames = 12
Thus, the number of frames you can create is 12.
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14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?
Answers
Answer:
There are 56 red gummy bears
Step-by-step explanation:
The ratio of green to red gummy bears is = 3 : 7
Total gummy bears = 80
We need to find how many gummy bears are red?
We can write it as:
3x : 7x
where x is the common ratio.
We can write:
Quantity of Green gummy bears = 3x
Quantity of Red gummy bears = 7x
Total Gummy bears = 80
So, 3x+7x = 80
10x = 80
x = 8
Now, finding quantity of Red gummy bears by putting x = 8
7x = 7(8) = 56
So, There are 56 red gummy bears
A company has issued 6.7 million shares of stock. A mutual fund owns 99,000 shares of this company's stock. What
percentage of the company's shares are owned by the mutual fund? Give your answer rounded to the nearest tenth of a
percent.
Answers
99,000 / 6,700,000 = 99 / 6700
1.4776% of the shares are owned by the mutual fund
so 1.5% if I round
please give brainliest
2+2=
a. 3
b. 5
c. 4
d. 7
Answers
Answer:
C
Step-by-step explanation:
2
+2
-----
4
to determine that a item is not in an unordered array of 100 items, how many values must linear search examine on average? a) 7 b) 10 c) 100
Answers
To determine that an item is not in an unordered array of 100 items, total numbers of values which have to linear search examine on average is 100. The correct answer is C.
What is Linear Search?Linear Search is described as a sequential search algorithm which starts at one end and goes through each element of a list until the needed element is found, otherwise the search continues till the end of the data set. This is the simplest searching algorithm.
Starting at the beginning of the data set, each item of data is examined until a match is made. Once the item is found, the search ends.
Hence, in this case, since there are 100 items, then there will be 100 numbers of values.
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Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma. At the 0.05 significance level, test the claim that the proportion of all children in the town who suffer from asthma is 11%.
Answers
Answer:
The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
Test the claim that the proportion of all children in the town who suffer not from asthma is 11%
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 167
Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.
Sample proportion
\(p^{-} = \frac{x}{n} = \frac{37}{167} = 0.2215\)
Given Population proportion 'P' = 11% = 0.11
Step(ii) :-
Null Hypothesis : H₀ : p = 11
Alternative Hypothesis H₁: p≠11
Test statistic
\(Z = \frac{p^{-} -P }{\sqrt{\frac{P Q}{n} } }\)
\(Z = \frac{0.2215 -0.11 }{\sqrt{\frac{0.11 X 0.89}{167} } }\)
Z = 4.64
step(iii)
Critical value Z = 1.96
The calculated value Z = 4.64 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
Conclusion:-
Test the claim that the proportion of all children in the town who suffer not from asthma is 11%
Which graph represents points on the polar curve r = –4sin(3θ)?
Answers
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
These shapes are similar.
Find X.
5
5
30
24
30
Answers
Answer: 4
Step-by-step explanation:
A water park sold 6 child tickets and 54 adult tickets. What percentage of the tickets sold were child tickets?
Answers
Answer: 10%
Step-by-step explanation:
Add 54 and 6 for the total.
54+6=60.
Now we find the percentage of 6 from 60.
6/60
0.1
So 10% of tickets sold were child tickets.
---
hope it helps
3 : 7 = 300 : x fill in the x for the equivalent ratios
Answers
Answer: 300:700
Step-by-step explanation:
If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for
Assuming p: she is beautiful,q :she is clever,the verbal form of ~p^ (~q) is she is beautiful but not clever. she is beautiful and clever she is not beautiful and not clever.she is beautiful or not clever.
Answers
Answer:
C. she is not beautiful and not clever.
Step-by-step explanation:
A. she is beautiful but not clever. B. she is beautiful and clever
C. she is not beautiful and not clever.
D. she is beautiful or not clever.
p: she is beautiful
q :she is clever
~p^ (~q) in verbal form
~p = she is not beautiful
~q = she is not clever
~p^ (~q) = she is not beautiful and not clever.
C. she is not beautiful and not clever.
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
Answers
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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14. Angle 4 and Angle____ are alternate interior angles.
Answers
Answer:
5
Step-by-step explanation:
on the other side of the transversal opposite the angle (so above the lower parallel line)
If u don't know what any of these words mean i would suggest searching them up because they are self explanatory
helppppppppppppppppppp
Answers
Answer:
f(-7) = 18
f(-3) = 14
f(4) = 7
Step-by-step explanation:
f(-7)
l-7-8l + 3
l-15l + 3
15 + 3
18
F(-3)
l-3-8l + 3
l-11l + 3
11 + 3
14
F(4)
l4-8l + 3
l-4l + 3
4 + 3
7
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
Answers
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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Given the graph of f(x) above, what is f(-4) *
Answers
Answer:
2
Step-by-step explanation:
go to -4 on the x axis, then see which point the line is on, on the y axis.
How do I find the third side of a triangle if I have two sides
Example
a=9 and b=12 then c=?
a=6 and b=8 then c=?
Answers
Example 1:
Given a = 9 and b = 12, to find c:
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
c = √225
c = 15
Therefore, in this case, c = 15.
Example 2:
Given a = 6 and b = 8, to find c:
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = √100
c = 10
Therefore, in this case, c = 10.
What the meaning of statement this?
Answers
The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.
The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.
In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.
The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.
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help please help mesda
Answers
Answer:
25, 25, 22.5, 22
Step-by-step explanation:
It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.
We are given all of these values:
x -> 2, 3, 4, 5
y -> 50, 75, 90, 110
Use the formula given and solve for K.
50/2 = 25
75/3 = 25
90/4 = 22.5
110/5 = 22
Best of Luck!
You pick a card at random. 5 6 7 What is P(odd or greater than 6)?
Answers
The answer to the question is 1/3.
There are three possible outcomes: 5, 6, or 7.
Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.
Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.
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If the scale is 3 inches = 4 kilometers. What is the amount of inches in 5 kilometers?
A 3.75 inches
B 3.75 kilometers
C 6.333.... inches
D 6.333....Kilometers
Answers
Answer:
3.75 inches is the correct answer..
Answer:
A. 3.75 inches
Step-by-step explanation:
The question is asking for the amount of inches not kilometers, so options B and D are automatically incorrect. I took the three inches and divided it by the four kilometers to kind inches per kilometer. The times the inches by five to get the correct answer;
3 inches = 4 kilometers
3 / 4 = 0.75
0.75 = 1 kilometer
0.75 x 5 = 3.75
3.75 inches = 5 kilometers
I hope this helps!
If the the price of a pair of shoes is 35$ before tax and the tax is 20% what will the final price of the shoes be
Answers
Answer:
$42
Step-by-step explanation:
You want the price with tax of a $35 pair of shoes subject to a 20% tax.
Price with taxThe tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:
final price = price + price × tax rate
final price = price × (1 + tax rate) = $35 × 1.20 = $42
The final price of the shoes is $42.
Answer:
42$
Step-by-step explanation:
tax increase will be
20% of 35$
= 20/100 × 35
= 7$
Final price = Old price + Tax
= 35 + 7
= 42$