Answer:
x=20
Step-by-step explanation:
8x-5y=11 (show work)
4x-3y=5
Answer:
8x-5y=11
8x=11+5y
x=(11+5y)÷8
Substitute x=(11+5y)÷8
4x-3y=5
4((11+5y)÷8)-3y=5
(11+5y)/2-3y=5
11+5y-6y=5
-y=-6
y=6
Substitute y=6
8x-5(6)=11
8x-30=11
8x=41
x=5.125
Final Answer: x=5.125, y=6
Tell whether the following statements are always true, sometimes true or always false./p>
a. If a positive is subtracted from a negative integer, the difference is a negative integer.
b. If a positive integer is subtracted from a positive integer, the difference is a positive integer.
Each statement about integer is:
"If positive is subtracted from a negative integer, the difference is negative integer" can be sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer."If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer" is sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer.Statement A: If positive is subtracted from a negative integer, the difference is negative integer.
This statement is sometimes true.
If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.
Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.
This statement is sometimes true.
If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.
Learn more about Integer here: brainly.com/question/11486291
#SPJ11
An object has a mass of 1 kilogram and a density of 10 grams per cubic centimeter. Which of the following statements is true?
The volume of the object is 100 cubic centimeters.
The volume of the object is 100 cubic meters.
The volume of the object is 100 cubic kilometers
The volume of the object cannot be determined because the shape of the object is not given
Answer:
The volume of the object is 100 cubic centimeters (100cm³)
The diameter of a semicircle is 8.6 miles. What is the semicircle’s radius
The radius of the semicircle is 4.3 kilometers.
What is a diameter?A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.
Given:
The diameter of a semicircle is 8.6 kilometers.
Then the radius of the semicircle,
= diameter / 2
= 8.6 / 2
= 4.3 kilometers.
Therefore, the radius is 4.3 kilometers.
To learn more about the diameter:
brainly.com/question/5501950
five cards are dealt from a standard 52-card deck. how many such hands have a full house of kings and fives (3 kings and 2 fives)?
In other words, there are 24 different ways to get a full house of kings and fives when dealing 5 cards from a standard 52-card deck.
To calculate the number of hands with a full house of kings and fives, you need to consider the number of ways to choose 3 kings and 2 fives from a standard 52-card deck. There are 4 kings and 4 fives in the deck.
To choose 3 kings, use the combination formula: C(4,3) = 4! / (3!(4-3)!) = 4.
To choose 2 fives, use the combination formula: C(4,2) = 4! / (2!(4-2)!) = 6.
Now, multiply these results together to find the total number of hands with a full house of kings and fives: 4 * 6 = 24.
So, there are 24 possible hands with a full house of kings and fives when dealt from a standard 52-card deck.
Visit here to learn more about combination:
brainly.com/question/28042664
#SPJ11
a rectangle has a length that is nine feet less than four times its width. its area is 90 square feet. algebraically determine the number of feet in its width and length. show the work that leads to your answer.
algebraicallyThe width of the rectangle is 6 feet, and the length is 15 feet, found algebraically by solving the given equations.
Let's represent the width of the rectangle as "w" in feet. According to the given information, the length of the rectangle is nine feet less than four times its width, which can be expressed as "4w - 9". The area of a rectangle is given by the formula: Area = length * width.
Given that the area is 90 square feet, we can set up the equation: (4w - 9) * w = 90. Simplifying this equation, we get 4w^2 - 9w - 90 = 0. Factoring or using the quadratic formula, we find two solutions: w = -3.75 and w = 6. Since width cannot be negative, the width of the rectangle is 6 feet. Substituting this value back into the expression for length, we find that the length is 4(6) - 9 = 15 feet. Therefore, the width is 6 feet, and the length is 15 feet.
Learn more about Rectangle here: brainly.com/question/29123947
#SPJ11
Select the correct answer.
What is the solution to this equation?
loga (m² + 1) log, (-2m)
A.
= 1
○ B. * = -1
OC.
= 2
OD.
no solution
The solution to the equation log₄(x² + 1) = log₄(-2x) is x = -1.
To find the solution to the equation log₄(x² + 1) = log₄(-2x),
we can use the property of logarithms that states:
If logₐ(b) = logₐ(c), then b = c.
Applying this property to the given equation, we can equate the arguments inside the logarithms.
x² + 1 = -2x
Rearranging the equation, we get:
x² + 2x + 1 = 0
Now we have a quadratic equation.
We can solve it by factoring or using the quadratic formula.
Let's try factoring:
(x + 1)(x + 1) = 0
This yields a repeated factor (x + 1).
So, we have a single solution:
x + 1 = 0
x = -1
For similar question on logarithms.
https://brainly.com/question/28041634
#SPJ11
Question: What is the solution of equation log_4(x^{2} +1) = log_4(-2x)
the midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x-y
\(\left \{ {(3x-4)/2=1} \atop {(-2-5y)/2=4}} \right.\)
x = 2
y = -2
x - y = 2 - (-2) = 4
There are 200 Counters in a bag. 50 of them are taken out. And have a dab of white paint placed on them. these 50 marked counters are now put it back in the bag which is given a good shake. 80 counters are now taken out. About how many of them would you expect to be marked with a dab of white paint?
Answer:
20 Counters
Step-by-step explanation:
Total number of counter in a bag= 200 Counters
If 50 Counters out of the total have white paint, the value is then represented as
= 50/200
=1/4
The initial 50 Counters taken out is then put in the bag again and mixed thoroughly to get an even distribution.
If 80 Counters are taken out of the bag, the value is represented as
= 1/4×80
=80/4
=20
Therefore, 20 Counters are expected to be marked with a dab of white paint.
what is the possibility that a randomly selected person is on the swim team
Express the probability as a percent rounded to the nearest tenth of a percent
Answer:
What is the probability that a randomly selected person is on the swim team?
28 out of 67 people are on the swim team
so that's 28/67
41.7910448% round to the nearest tenth
41.8% is the answer.
Step-by-step explanation:
what's the distance between points A and B
Answer:
AB = 10 units============
GivenEndpoints A(-8, -4) and B(2, - 4)Find the length of ABSince both points have same y-coordinate, the distance between the points is the difference of x-coordinates:
AB = 2 - (-8) = 2 + 8 = 10 unitsWrite 7/16+3/16 in simplest form.
Answer:
Step-by-step explanation:
Remark
Normally you would have to make sure that the bottoms of each fraction to be added would be the same. In this question, they are, so nothing further to getting the bottoms the same has to be done,
Solution
answer = 7 / 16 + 3 / 16
answer = (7 + 3) / 16
answer = 10/16
Both top and bottom are even numbers so you can divide both top and bottom by at least 2.
10/2 = 5
16 / 2 = 8
So answer = 5/8
-91x-13x= 276.50
Show work
Answer:
x = -2.65865384615
Step-by-step explanation:
-91x - 13x = 276.50
First, Combine Like Terms
-91x + (-13x) = -104x
-104x = 276.50
Second, divide
276.50 / -104 = x
x = -2.65865384615
Use the following scenario to answer the next question. Marianne absolutely loves to quilt. She wants to start a new quilt so decides to go to the fabric store to pick out some cute fabrics. While at the store, she narrows the fabric down to three options. Option 1 costs $12 for six yards of fabric. Option 2 costs $14 for eight yards of fabric. Option 3 costs $16 for ten yards of fabric.
What is the best way for Marianne to determine how much each piece of fabric costs per yard?
By calculating the cost per yard, Marianne can compare the options and determine which one offers the best value for her quilting project. In this case, option 3 has the lowest cost per yard, making it the most cost-effective choice.
To determine how much each piece of fabric costs per yard, Marianne can divide the cost of each option by the number of yards in that option.
Let's calculate the cost per yard for each option:
Option 1:
Cost = $12
Yards = 6
Cost per yard = $12 / 6 = $2 per yard
Option 2:
Cost = $14
Yards = 8
Cost per yard = $14 / 8 = $1.75 per yard
Option 3:
Cost = $16
Yards = 10
Cost per yard = $16 / 10 = $1.60 per yard
To know more about number visit;
brainly.com/question/24908711
#SPJ11
for the function F (X) = (x - 2)^2 + 4, identify the vertex.
A) the vertex is (-2, 4)
B) the vertex is (-4, 2)
C) the vertex is (4,2)
D) the vertex is (2,4)
Answer:
The answer will be D. (2,4)
Consider a $20 ultimatum game where offers are made to the nearest $0.50. a. What is the Nash equilibrium for this game? b. The experimental literature has found that behavior (of both the proposer and the responder) in the lab deviates from the Nash equilibrium. Explain the specific ways in which it deviates. c. Why does the behavior of the proposer deviate from Nash equilibrium? Provide at least two explanations. d. Pick one of the explanations from part c. How would you test it?
(a) The Nash equilibrium for the $20 ultimatum game is a 50-50 split: the proposer offers $10 and the responder accepts. (b) Experimental findings show deviations from the Nash equilibrium due to fairness considerations, strategic behavior, and social preferences. (c) Proposers deviate from Nash equilibrium due to fairness concerns and strategic considerations. (d) To test the explanation, conduct experiments manipulating fairness norms and incentives to observe proposers' behavior.
(a) The Nash equilibrium for the $20 ultimatum game, where offers are made to the nearest $0.50, is a 50-50 split, where the proposer offers $10 and the responder accepts.
(b) The experimental literature has found deviations from the Nash equilibrium in both proposers and responders. These deviations can be attributed to various factors such as fairness considerations, strategic behavior, and social preferences.
(c) The behavior of the proposer deviates from the Nash equilibrium due to factors like fairness concerns and strategic considerations. Proposers may make more generous offers to avoid rejection or to signal fairness and maintain a positive reputation.
(d) To test the explanation that proposers deviate from the Nash equilibrium due to fairness concerns, one could design an experiment where fairness is manipulated. Participants could be exposed to different fairness treatments, and their offers could be observed and compared to those in a control group. Statistical analysis can then be used to determine if there is a significant difference in offers between the fairness treatments and the control group.
Learn more about Statistical analysis here:
brainly.com/question/3004289
#SPJ11
the test in an if function must evaluate to either a true or a false.
Yes, the test in an "if" function must evaluate to either a True or a False value.
An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.
When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.
To know more about function visit:-
https://brainly.com/question/30721594
#SPJ11
Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
<95141404393>
If you subtract 1/2 from a no. And multiply the result by 1/2, you get 1/8. What is the no.?
Answer:
no = 3/4
Step-by-step explanation:
1/2(no-1/2)=1/8
1/2no - 1/4 = 1/8
1/2no = 1/8 + 1/4
1/2no = 3/8
no = 3/4
EXAMPLE 4 Find fif F"(x) = 12x2 + 6x - 4, FO) = 5, and f(1) = 7. = = SOLUTION The general antiderivative of F"(x) = 12x2 + 6x - 4 is f'(x) = 12x +62 4x + C + C. Using the antidifferentiation rules once more, we find that f(x) = 4 + 3x + CX + D. + CX + D. = To determine C and D we use the given conditions that FO) = 5 and f(1) = 7. Since f(0) = 0 + D = 5, we have D = 1. Since f(1) = 1 + 1 - 2 + C + = 7 we have C = Therefore, the required function is f(x) =
The required function is f(x) = x4/3 + x3/2 - 2x2 + (1/2)x + 5.
The general antiderivative of F"(x) = 12x2 + 6x - 4 is f'(x) = 4x3 + 3x2 - 4x + C. Using the antidifferentiation rules once more, we find that f(x) = x4/3 + x3/2 - 2x2 + Cx + D.
To determine C and D we use the given conditions that F(0) = 5 and f(1) = 7. Since f(0) = 0 + D = 5, we have D = 5. Since f(1) = 1 + √1 - 2 + C + 5 = 7 we have C = 1/2.
Therefore, the required function is f(x) = x4/3 + x3/2 - 2x2 + (1/2)x + 5.
To learn more about antiderivative, refer below:
https://brainly.com/question/15522062
#SPJ11
you bought a concentrated sports drink at 14x. how would you make 2l of 1x drink for your basketball team?
You can make 2l of 1x drink by combining 1 liter of water, a dosage of 5g sugar, and 7.5g salt.
You have 1 litre of concentrated sports drink in your kitchen. How would you make 2 litres at one quarter of the price?
If you had bought a concentrated sports drink at 14x, you would be able to make 2l of 1x drink for your basketball team. This is because when one bottle is diluted it would become 13 bottles (1 concentrate + 12 dilutions). So, we have represented the process as follows:
If you buy 2l of basketball team drink concentrate and measure 3l of water or electrolyte solutions, you will create 4 bottles. You can fill them about 1/4 full with the base solution for their desired tastes and flavors such as lemonade and unsweetened tea etc.
For more similar questions on drinks:
https://brainly.com/question/24741444
#SPJ11
2x-3y+6=0 and 4x-5y+2=0
The answer of the given question based on the equations are, the solution to the system of equations is (x,y) = (12,10).
What is Equation?An equation is mathematical statement that shows that the two expressions are equal. An equation contains an equals sign (=) and consists of two expressions, referred to as the left-hand side (LHS) and the right-hand side (RHS), which are separated by the equals sign. The expressions on either side of the equals sign can include variables, constants, and mathematical operations like addition, subtraction, multiplication, and division.
Multiply the first equation by 2 and the second equation by -1 to eliminate the x term.
4x - 6y + 12 = 0
-4x + 5y - 2 = 0
Add two equations to eliminate x term.
-y + 10 = 0
y = 10
Substitute value of y back into one of original equations and solve for the x.
2x - 3y + 6 = 0 (using the first equation)
2x - 3(10) + 6 = 0
2x - 24 = 0
x = 12
Therefore, the solution to the system of equations is (x,y) = (12,10).
To know more about Expression visit:
https://brainly.com/question/1859113
#SPJ1
I need help with this proportion: 9:X = X:4 X =
Answer:
The answer is 6
Step-by-step explanation:
it can be written as 9/X = x/4
when you cross multiply, it gives you xsquare = 36
Therefore, X is 6
1. how many paths are there? 2. the critical path is the a) longest path. b) shortest path. c) path with the most activities. d) path with the fewest activities.
Answer to the question is (a) longest path. The critical path is determined by identifying all the possible paths and calculating their durations, and the one with the longest duration is identified as the critical path.
Explain how many paths are there?The number of paths can vary depending on the specific situation or system being analyzed.
The critical path is the longest path in terms of duration or time required to complete all its activities. It is the sequence of tasks or activities that must be completed in order to complete the project within the minimum possible time.
The critical path determines the total duration of the project, and any delay in the critical path activities will cause a delay in the project's completion time.
Therefore, the answer to the question is (a) longest path. The critical path is determined by identifying all the possible paths and calculating their durations, and the one with the longest duration is identified as the critical path.
The critical path method (CPM) is a popular technique used in project management to identify and manage the critical path.
Learn more about critical path.
brainly.com/question/16519233
#SPJ11
Find the distance between point (-1, -3) and the midpoint of the line segment joining (2, 4) and (4, 6).
Answer:
\(d=4\sqrt{5}\)
Step-by-step explanation:
Midpoint Formula: \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)
Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Step 1: Find midpoint m
\(m=(\frac{2+4}{2} ,\frac{4+6}{2} )\)
\(m=(\frac{6}{2} ,\frac{10}{2} )\)
\(m=(3 ,5 )\)
Step 2: Find distance d
\(d=\sqrt{(3-(-1))^2+(5-(-3))^2}\)
\(d=\sqrt{(3+1)^2+(5+3)^2}\)
\(d=\sqrt{(4)^2+(8)^2}\)
\(d=\sqrt{16+64}\)
\(d=\sqrt{80}\)
\(d=4\sqrt{5}\)
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting?
Answer:
1360cm²
Step-by-step explanation:
Since the shape of the cake is in L shape, we can divide the cake in to rectangles..
The amount of space covered by the frosting = The sum of the areas of the sides that we can find in this L shaped cake diagram.
The sides of this cake, are shaped like a rectangle.
Hence, Area of a Rectangle = Length × Width
a) Side 1 = Rectangle on the left
Area of a Rectangle = Length × Breadth
Length = 30cm
Breadth =10cm
Area = 30 × 10 = 300cm²
Since we have another side with this measurement/ dimensions also,
Side 2 = 300cm²
Side 3 = The front face of the cube by the right
Area of a Rectangle = Length × Breadth
Length = 22cm - 10cm = 12cm
Breadth =10cm
Area = 12 × 10 = 120cm²
Likewise, we have the another side with the same dimensions as well
Hence, Side 4 = 120cm²
Side 5
30 × 5 = 150cm²
Side 6
10 × 5 = 50cm²
Side 7
20 × 5 = 100cm²
Side 8
22cm × 5 cm = 110cm²
Side 9
10cm × 5cm = 50cm²
Side 10
12cm × 5cm = 60cm²
The amount of space covered by the frosting = Area of Sides( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= (300 + 300 + 120 + 120 + 150 + 50 + 100 + 110 + 50 + 60) cm²
= 1360cm²
Answer:
1360
Step-by-step explanation:
it is correct on khan academy
Write the income equation for a small business that
begins with $150 and grows by 20% each year. When
will the company's income be $300?
Answer:
in 4 years
Step-by-step explanation:
because you should find the 20% of 150
150×20=3000
3000÷100= 30
so 20% of 150 is 30
then you keep adding 30 to the results till you reach 300
The equation is 150+30x=300 and it takes 3 years for the company to earn $300.
Given that, a small business begins with $150 and grows by 20% each year.
We need to find when will the company's income by $300.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 20% of 150=30
Let x be the number of years.
So, f(x)=150+30x
⇒150+30x=300
⇒30x=150
⇒x=3
The equation is 150+30x=300 and it takes 3 years for the company to earn $300.
To learn more about the equations visit:
https://brainly.com/question/10413253.
#SPJ2
please help I’ll give 60 points
Answer:
See image
Step-by-step explanation:
You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image
What is the square root of 23 to the nearest integer?
Answer:
5
Step-by-step explanation:
If you put this in a calculator it comes back with 4.79583... decimals forever. Rounding to the nearest integer gives 5.
Answer:
5
Step-by-step explanation:
√23 : 4.795831523 whose nearest integer is 5 .
Hence, the nearest number is 5.
find the area of the regular pentagon
Answer:
\(A = 43.1\ cm^2\)
Step-by-step explanation:
Step 1: Determine the area
\(A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2\)
\(A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*(5\ cm)^2\)
\(A = \frac{1}{4}*6.8819*25\ cm^2\)
\(A = 43.1\ cm^2\)
Answer: \(A = 43.1\ cm^2\)