Answers
Given \: system \: of \: equations \: - \\ \\ n \: = \: 2p \: + \: 3 \: \: \: - - - eq.(1) \\ \\ n \: = \: 5 \: + \: p \: \: \: - - - eq.(2) \\ \\ \: \\ Comparing \: eq.(1) \: \: and \: \: eq.(2) \: \\ We \: get \: \: -\\ \\ 2p \: + \: 3 \: = \: 5 \: + \: p \\ \\ 2p \: - \: p \: = \: 5 \: - \: 3 \\ \\ p \: = \: 2 \: \\ \\ Putting \: in \: eq.(1) \: \\ We \: get \: \: , \: \: n = 7 \\ \\ Hence \: \: \: .\\ \\ || \: \: p \: = \: 2\: \: \: \: || \: \: n = \: 7 \: \: \: || \\ \\ \\ Therefore \: , \: Solution \: of \: the \: given \: system \\ of \: equations \: is \: \: \: ( \: 2 \: , \: 7 \: ) \: \: \: \: \: \: \: \: \: Ans.[/tex]
Answer:
[tex][2, 7][/tex]
Step-by-step explanation:
5 + p = 2p + 3
- 2p - 2p
______________
5 - p = 3
-3 - 3
________
2 - p = 0
-2 - 2
________
-p = -2
2 = p [Plug this back into both equations above to get the n-term of 7]; 7 = p
I am joyous to assist you anytime.
Related Questions
which explains how to determine 40% of 50?
A. find 10% of 50 by dividing 50 by 10. Then multiply the result by 4.
B. find 10% of 50 by dividing 50 by 10. Then multiply the result by 40.
C. find 50% of 40 by dividing 40 by 2. Then multiply the result by 4.
D. find 50% of 40 by dividing 40 by. Then multiply the result by 40.
Answers
Hope this helps!!!
Hey sports memorabilia enthusiast collected autographed baseballs.The enthusiast is giving an autographed baseball who each of his three grandchildren. If the baseballs are selected at random what is the probability that Hank Aaron, Alex Rodriguez, and Mikey mantle autographed baseballs are given to his grandchildren? Their are a total of 5 baseballs.
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Answer:
1/10
Step-by-step explanation:
Simplify the expression so there is only one positive power for each base
(3^-2•7^-5)^-4
Answers
D is the answer
Answer:The and is D
Step-by-step explanation:
1/4-(2006 + .20)+2x2-4
Answers
Evaluate sin[2 arccos( -8/17 )].
Answers
[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\sin\left(\arccos\left(-\dfrac8{17}\right)\right)\cos\left(\arccos\left(-\dfrac8{17}\right)\right)[/tex]
Dealing with the cosine terms is simple, since [tex]\cos(\arccos x)=x[/tex] (so long as [tex]0\le \arccos x\le\pi[/tex], which is true here). So
[tex]\cos\left(\arccos\left(-\dfrac8{17}\right)\right)=-\dfrac8{17}[/tex]
To find the sine, we can make a substitution of [tex]\theta=\arccos\left(-\dfrac8{17}\right)[/tex]. In other words, we suppose that [tex]\theta[/tex] is some angle that satisfies [tex]\cos\theta=-\dfrac8{17}[/tex].
If this is the case, then we have
[tex]\sin^2\theta=1-\cos^2\theta=\dfrac{225}{289}\implies\sin\theta=\pm\sqrt{\dfrac{225}{289}}=\pm\dfrac{15}{17}[/tex]
But which value do we choose? We know that [tex]\cos\theta[/tex] is negative, which means [tex]\theta[/tex] must be between [tex]\dfrac\pi2[/tex] and [tex]\pi[/tex]. The sine of any angle [tex]\theta[/tex] in this interval will always be positive, so in fact
[tex]\sin\theta=\sin\left(\arccos\left(-\dfrac8{17}\right)\right)=\dfrac{15}{17}[/tex]
Putting everything together, we get
[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\left(\dfrac{15}{17}\right)\left(-\dfrac8{17}\right)=-\dfrac{240}{289}[/tex]
Which model is most appropriate for the data shown in the graph below
Answers
Emma buys a game for $26.84. She pays for the game with a $20 bill and two $5 bills.
How much change should she receive? - $3.16
List the change in coins and bills. - ??
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One dime
6 pennies
Find the measure of <7
Answers
Vertical angles are congruent, they have the same measure.
So, <7 and <5 are vertical angles. They share the same vertex, and if you were to draw a straight line between them, it would connect and bisect them both equally.
<5= 45, so <7= 45.
I hope this helps!
~kaikers
How does the height of the triangle compare to the height of the rectangle
Answers
For a triangle, A = (1/3)bh
For a rectangle, A = bh
If we let h represent the height of the rectangle and H represent the height of the triangle, we have
.. (1/3)bH = A = bh
.. H = 3h . . . . . . multiply the above equation by 3/b
Find the value of X in the triangle.
Please explain. Thanks.
Answers
triangles can only have 180°
This is a right triangle, so one angle is 90°, leaving us with 90° left
90°-61°= 29°
You have a right angle, they're always 90 degrees, plus 61 degrees = 151, next you subtract 151 from 180 = 29 degrees.
Which equation best describes the line of best fit?
A) y=6x +10
B) y=x−10
C) y=10x +70
D) y=2/3x
Answers
Selection A is the appropriate equation.
What is the solution of 2(x + 4) - x = 15?
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Answers
2x+8 -x = 15
x +8 = 15
x = 7
First x = 8, second x = 9
Guys help me please:(
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y = -5
For this case, you must realize that the solution to the system of equations is the ordered pair:
(x, y) = (- 2, -5)
Graphically, they are two lines that intersect in the third quadrant.
Answer:
See attached image.
What is the slope-intercept equation of the line through the points (-7,2) (-2,1)
Answers
Hello! I need a bit of help with this one! Thanks
of the calculators sold this week, 3/8 of them were blue and of those, 2/9 were broken. What fraction of the calculators were blue and broken?
Answers
2/9 x 3/8 = 1/12 of the calculators were broken.
Sarah build a dollhouse the floor the dollhouses Square Sara covers the floor with 144 square inches of tile how long in inches is one side of the dollhouse floor?
A. 12
B. 38
C. 72
D. 144
Answers
square root of 144 = 12
So a side length is 12
There are 18 muffins on a plate. If they are split equally among 9 people, how many muffins will each person get? Write three equations to solve it.
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2. m = muffins & p = people m/p=t
3.18 muffins divide 9 people equal 2 muffins for everyone
Need help! Stuck in this question.
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Can someone pls tell me how to solve this
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The graph shows how many centimeters above a table top, y, a painted spot on an automated hamster wheel is for a given number of seconds x. How many degrees is the painted spot turning in 0.75 s? Enter your answer in the box. ??
Answers
Anna plants peas in 3/8 of her garden and herbs in 1/8 of it. she divides the rest of the garden into 6 sections. what fraction of the original garden is in each section?
Answers
1. Add the two fractions together to get 4/8 or 1/2. This means that half of it is left.
2. Take the 1/2 that remains and divide it by 6 (1/2 divided by 6 = 1/2 x 1/6). The answer is 1/12.
3. 1/12 of the original garden is in each section.
Figure STOP is reflected about the y-axis to obtain figure STO'P:
Which statement best describes the relationship between the two figures?
The measure of angle S is equal to the measure of angle P’.
The measure of angle P is equal to the measure of angle T’.
Figure STOP is congruent to figure S’T’O’P’.
Figure STOP is bigger than figure S’T’O’P’.
Answers
Figure stop is congruent due to the same shape and size
A jewelry store is selling a set of 4 pairs of gemstone earrings for $58, including tax. Neva and three of her friends want to buy the set so each could have a pair of earrings. Write and solve a multiplication equation to find how much each person should pay.
Answers
x=14.50
Each person should pay $14.50.
40% of college students scored more than 70% on a math test 120 students scored below that how many total students took the math test
Answers
what is the answer to 50% of 4=
Answers
How do u solve this system with substitution?
Answers
4x - 2x + 5 = 7
2x + 5 = 7
2x = 2
x = 1
y = 2(1) - 5
y = 2 - 5 = -3
You are buying salsa at the grocery store. You have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 containers. One container of salsa costs $3.25. What is your final cost?
Answers
Answer: Final cost will be $2.75.
Step-by-step explanation:
Since we have given that
Cost of salsa container = $3.25
Off on coupon = $0.50
Final cost of one salsa container is given by
[tex]3.25-0.50\\\\=\$2.75[/tex]
Hence, the final cost will be $2.75.
if he bought two containers
Cost of two containers is given by
[tex]3.25\times 2\\\\=\$6.50[/tex]
Coupon 50% off is given by
[tex]6.50\times 0.5\\\\=3.25[/tex]
So, Final cost is given by
[tex]6.25-3.25-0.5\\\\=\$2.75[/tex]
Hence, Final cost will be $2.75.
How many minutes pass from 4:21 to 4:59
Answers
Answer:
37 minutes
Step-by-step explanation:
Final answer:
To calculate the time elapsed from 4:21 to 4:59, perform a subtraction of the two times which results in a difference of 38 minutes.
Explanation:
To find out how many minutes have passed from 4:21 to 4:59, you have to perform a simple subtraction operation. Subtract the earlier time from the later time. In this case, it's 4:59 minus 4:21.
Step 1: Note the minutes in each time. We have 59 minutes at 4:59 and 21 minutes at 4:21.
Step 2: Subtract the earlier minute count from the later one. So, 59 minus 21 equals 38.
Therefore, from 4:21 to 4:59, 38 minutes have passed.
Which fraction is a multiple of 1/9
Answers
Hope this help you
Final answer:
A fraction is a multiple of 1/9 if it can be written as a whole number multiplied by 1/9. For example, 2/9 is a multiple of 1/9 because it is obtained by multiplying 1/9 by 2.
Explanation:
To find which fraction is a multiple of 1/9, one can multiply 1/9 by any whole number. For instance, if we multiply 1/9 by the number 2, we obtain 2/9. This resulting fraction is indeed a multiple of 1/9 since we have simply doubled the numerator while keeping the denominator the same. When we multiply both the numerator and the denominator by the same factor, we are maintaining the proportion, hence a multiple of 1/9.
So the question at hand is about identifying a fraction that, when simplified, would be a whole number times 1/9. Such fractions can be formed by multiplying the numerator (1) of 1/9 by any non-zero integer and keeping the denominator (9) constant. For example, 3/9 is a multiple of 1/9 as 3 is a whole number and 3/9 can be simplified to 1/3, which is 3 times 1/9.
marco deposited $500 in a savings account earning 4% simple intrest over 5 years what was the total amount of intrest earned at the end of 5 years a. 40, b. 50, c. 100, d.200
Answers
The formula in computing the simple interest of a savings account is:
I = Prt
Where I = interest earned
P = principal amount deposited
r = rate
t = time in years
You are asked to find the total amount of interest earned at the end of 5 years. Substituting the amounts to the formula:
I = $500 (4%) (5)
I = $100
Therefore, the total amount of interest earned at the end of 5 years is $100.