Answer:
x=2 And y=4
Step-by-step explanation:
5x-y=6---------(i)
-x+y=2---------(ii)
y=2+x -----from (ii)put it in equation( i)
5x-2-x=6
4x=8
x=2
put the value of x in 2 you will get the answer
y=2+2=4
classes
3. Jeff, Lorri, and Dan had a race.
In how many different ways
could they come in first, second,
and third?
Answer:
6 different ways.
Step-by-step explanation:
(1) Jeff, Lorri, Dan
(2) Jeff, Dan, Lorri
(3) Lorri, Jeff, Dan
(4) Lorri, Dan, Jeff
(5) Dan, Jeff, Lorri
(6) Dan, Lorri, Jeff
It's in the picture !
The position of √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.
What is Number line?A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.
Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.
The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.
If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:
To begin, determine the approximate square root values:
√17 is between 4 and 5, since 4² = 16 and 5² = 25.
√6 is between 2 and 3, since 2² = 4 and 3² = 9.
Place the number √17 closer to 5, between 4 and 5.
Place the number √6 between the numbers 2 and 3, closer to 2.
Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.
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Number line attached below,
At one point in history, the NBA finals required that one of the two teams win at least three of five games in order to win the Championship. If one team wins the first two games, what is the probability that the same team wins the Championship, assuming that the two teams are well matched and each team is equally likely to win each game
Answer:
50% i believe
Step-by-step explanation:
because in every scenario theres 2 teams and if they are well matched it be half and half on every game assuming they're the same level of comp
:) answerrr pleasee amigo
Find the area and perimeter of the figure
The perimeter and area of the given composite shape are respectively; 10a² + 10b and 37a²b
How to find the area and perimeter of a composite figure?The perimeter of the composite figure here will simply be the sum of the entire boundary lengths and as such we have;'
Perimeter = 2(a² + 3a² + a²) + 2(4b) + b + b
= 10a² + 8b + 2b
= 10a² + 10b
The area of a rectangle is;
Area = Length * width.
Thus;
Area of composite shape = Overall area of rectangle - Area of cut out rectangle
Area = (10a² * 4b) - (3a² * b)
Area = 40a²b - 3a²b
Area = 37a²b
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Find the area of the trapezoid
Answer:
7.5 units^2
Step-by-step explanation:
So, let's just break apart this trapezoid into easier shapes to work with.
We can make a 1x3 rectangle with the squares that are fully covered in.
Then, make a triangle with the squares that are partially covered in above and another triangle for those below.
Now, calculating time.
With the rectangle, do Length * Width, so 1 * 3 = 3.
With the upper triangle, do (Base * Height) / 2, so (3 * 2) / 2 = 3
With the lower triangle, do (Base * Height) / 2 as well, so (3 * 1) / 2 = 1.5
Add these all up and you get 7.5 units^2
Hope that helps.
PLEASE answer pic provided
Answer:
50 to 60 seconds is the answer
1
Five people visited a local restaurant to get some lunch. A bottle of apple
juice costs 3 dollars and a bag of chips cost 2 dollars. If all five people
ordered a sandwich, a bottle of apple juice, and a bag of chips, write a
numerical expression to show the amount of money the friends spent for
this order. Choose ALL that apply. *
Answer:
y = 5x
y = amount of money all the friends spent.
x = cost of burgers, a bottle of apple juice, and a bag of chips all together
Step-by-step explanation:
Ion know which all apply but okay?
The 3rd term of a GP is 18 and the 7th term is 3⅝, find the GP
The geometric sequence in which the 3rd term is of 18 and the 7th term is of 29/8 is defined as follows:
\(a_n = 40(0.67)^{n - 1}\)
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms yields always the same result, called common ratio q.
The nth term of a geometric sequence is given by the rule presented as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
The rule for the nth term is also called the general rule.
The general takes the first term as the reference term, however, the 7th term can be written as a function of the 3rd term, as follows:
\(a_7 = a_3q^{4}\)
The fraction that represents the mixed number 3 and 5/8 is:
(3 x 8 + 5)/8 = 29/8.
Then the common ratio of the sequence is calculated as follows:
\(\frac{29}{8} = 18q^{4}\)
\(q^4 = \frac{29}{144}\)
\(q = \sqrt[4]{\frac{29}{144}}\)
\(q = \left(\frac{29}{144}\right)^{\frac{1}{4}}\)
q = 0.67.
Then the first term of the sequence is obtained as follows:
\(a_3 = a_1q^2\)
\(a_1 = \frac{a_3}{q^2}\)
\(a_1 = \frac{18}{(0.67)^2}\)
\(a_1 = 40\)
Then the definition of the geometric sequence is:
\(a_n = 40(0.67)^{n - 1}\)
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5.Joan Robinson opens her own law office on July 1, 2012. During the first month of operations, the following transactions occurred. 1. Joan invested $11,000 in cash in the law practice. 2. Paid $800 for July rent on office space. 3. Purchased office equipment on account $3,000. 4. Provided legal services to clients for cash $1,500. 5. Borrowed $700 cash from a bank on a note payable. 6. Performed legal services for client on account $2,000. 7. Paid monthly expenses: salaries and wages $500, utilities $300, and supplies $100. 8. Joan withdraws $1,000 cash for personal use
Step-by-step explanation:
i will go you in the bank in co2 in the man
Find the area of the composite figure. Round to the nearest tenth.
A.92.5 sq m
B. 200.5 sq m
C. 257.1 sq m
D. 596.4 sq m
Answer:
Surface area of figure = 200.52 meter²
Step-by-step explanation:
Given:
Side of square cut = 12 meter
Diameter of semi circle = 12 meter
Find:
Surface area of figure
Computation:
Diameter of semi circle = 12 meter
Radius of semi circle = Diameter of semi circle / 2
Radius of semi circle = 12 / 2
Radius of semi circle = 6 meter
Surface area of figure = Surface area of square + Surface of cylinder
Surface area of figure = [Side x Side] + πr²/2
Surface area of figure = [12 x 12] + (3.14)(6)²/2
Surface area of figure = [144] + (3.14)(36)/2
Surface area of figure = 144 + 56.52
Surface area of figure = 200.52 meter²
Solve for X, will mark brainliest if right
Answer:
x = 8
Step-by-step explanation:
The sides are in proportion.
\(\frac{RG}{FG} =\frac{SH}{FH}\)40 / 7x + 14 = 44 / 33 + 4440 / 7x + 14 = 44/77 = 4/740(7) = 4(7x + 14)280 = 28x + 5610 = x + 2x = 8It took Ms. Hernandes 4/5 hours
to drive 3/10 of the way to her
uncles house. How many hours
did it take to drive to her unde
house?
Answer:
2 2/3 hours or 2 hours and 4o minutes
Step-by-step explanation:
set up a proportion
\(\frac{time}{distance}\) = \(\frac{time}{distance}\)
\(\frac{\frac{4}{5} }{\frac{3}{10} }\) = \(\frac{h}{1}\)cross multiply and solve for h
\(\frac{3}{10}\) h = \(\frac{4}{5}\) Multiply both sides by \(\frac{10}{3}\)
\((\frac{10}{3})\)\(\frac{3}{10}\) h = \((\frac{10}{3})\)\(\frac{4}{5}\) Multiply and then divide the top and bottom by 5
h = \(\frac{8}{3}\) o r2 \(\frac{2}{3}\)
please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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What’s the correct answer for this? Select the ones that apply
Answer:
C & D
Step-by-step explanation:
In both these pairs, the x-coordinates are not changed while the y-coordinates are having a difference of 8 between them so they are really much corresponding
9-1=8
-3-(-11)=-3+11=8
what is the value of x ?
Answer:
the letter "x" is often used in algebra to mean a value that is not known yet. It is called a 'varaible' or sometimes unknown.
Answer:
It is 65, B
Step-by-step explanation: because 180-115=65 tell me if you dont get it
Find the upper quartile summary for the data. {51, 49, 52, 46, 50, 38, 38, 45, 34, 52, 46}
The upper quartile for the given data is 51 .
Given data: {51,49,52,46,50,38,38,45,34,52,46}
Data in arranged form: {34,38,38,45,46,46,49,50,51,52,52}
Find the median first, then the upper quartile. There are eleven data points, thus look at term six to determine the median as there are five data points on any side. The median is 46 because the sixth term is 46.
The upper extreme, 52, and the median are then used to determine the upper quartile; make sure not to include the median data point when dividing the groups. The upper quartile is the third term (between the median and upper extreme) because there would be two data points on each side if there were only five data points from the median to the upper extreme. The third term, which is 51, falls into the upper quartile.
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What is the next term of the geometric sequence? 1, 2, 4, 8, 16,
Answer: 32
Step-by-step explanation:
the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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The sum or difference of p and q is the of the x-term in the trinomial.
a. ss. www.
coefficients
Answer:
coefficient..........
At a real estate agency, an agent sold a house for $361,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$23,465
$4,693
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
6.5% of $361,000 = 0.065 × $361,000 = $23,465
20% of $23,465 = 0.2 × $23,425 = $4,693
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
In one part of a rainforest 3/5 of the frogs are poisonous. what fraction of the frogs are not poisonous?
Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.
In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.
To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).
It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.
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points a b c d and e are collinear 22. if AC= 16, what is x?
The value of x is 3 and the AB = 10, BD = 14, and CE = 17 if the points A, B, C, D, and E are collinear.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Points A, B, C, D, and E are collinear.
If AC = 16
From the line graph:
x + 7 + 2x = 16
3x = 16 - 7
3x = 9
x = 9/3 = 3
AB = x + 7
AB = 3 + 7
AB = 10
BD = 2x + 3x - 1
BD = 5x - 1
BD = 5(3) - 1
BD = 15 - 1 = 14
CE = 3x - 1 + 2x + 3
CE = 5x + 2
CE = 5(3) + 2 = 15 + 2 = 17
Thus, the value of x is 3 and the AB = 10, BD = 14, and CE = 17 if the points A, B, C, D, and E are collinear.
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Bruce hiked 8 miles in 2 hours. At this same rate, what is the total number of miles Bruce could hike in 7 hours?
Answer:
2 hours = 8 miles
1 hour = 4 miles
7 hours = 28 miles
Answer:
28 miles
Step-by-step explanation:
trust me
Ginny's account after withdrawal?
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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The cost of breakfast cereal is R36 for 1kg.caculate how much 5kg of breakfast cereal will cost
Answer:
180
Step-by-step explanation:
5*36=180
The circumference of a circle is 100.48 millimeters. What is the circle's radius?
Answer:
r=15.99
Step-by-step explanation:
r=C
2π=100.48
2·π≈15.99189
Answer:
15.99 or 16
Step-by-step explanation:
Solve the equation below for x by graphing
3x =8_2x
The solution to the equation 3x = 8 - 2x is x = 1.6.
To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:
Express the equation in the form of y = f(x). Rearrange the equation:
3x + 2x = 8
5x = 8
x = 8/5 or 1.6
Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.
Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.
The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).
Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.
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