Answers
Related Questions
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answers
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
plz tell me the correct answer
Answers
Answer: H
Step-by-step explanation:
can you figure out the answer please
Answers
Answer:
h = — 10.071
Step-by-step explanation:
Look at the picture for my work.
mallory and meg attend the physics day for their school. their favorite rides were splash mountain and the centrifugal chamber. here are their stamped tickets at the end of the day. find the cost of each ride
Answers
Answer:
Splash Mountain = $7.25
Centrifugal Chamber= $5.25
Step-by-step explanation:
Click On Link For Work
3(x + 10) + 6 = 3(x + 12)
Answers
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3(x + 10) + 6 = 3(x + 12)
Step 2: Solve for x
Distribute 3: 3x + 30 + 6 = 3x + 36Combine like terms: 3x + 36 = 3x + 36Subtract 36 on both sides: 3x = 3xDivide 3 on both sides: x = xHere we see that x does indeed equal x. We can plug in any number x and it would render the equation true.
∴ x = infinite amount of solutions
Answer:
infinitely many solutions / all solutions
Step-by-step explanation:
you distribute 3x+30+6 = 3x+36combine like terms 3x+36 = 3x+36realise the 2 terms are the same so x can be anythingMrs. Brown asked four students how to find the perimeter of a rectangle where l = length and w = width. Their answers are below. Which would NOT find the perimeter of a rectangle?
A. P = l + w + l + w
B. P = 2 x l + 2 x w
C. P = 2(l + w)
D. P = 2(l x w)
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Answer:
i think its B but i'm not 100 percent sure sorry if im not but i think i am
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
You l*w is the area.
what are 5 triangle congruence theorems
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please help asap ill give brainliest if youre correct!!!
Answers
Answer: its B
Step-by-step explanation: i've done this test before
Answer:
the answer is b
Step-by-step explanation:
because i have done this question before
f(x) = 3x2 + 5x – 14
Find f(-3)
i need the answer for now
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Step-by-step explanation:
3 ( _3 ) 2 + 5 ( -3 ) - 14 = _2
.........
how do you write 7/10 as a decimal Can someone please help me!!
Answers
Answer:
0.7
Step-by-step explanation:
To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.
Which equation represents a linear function?
equation 1: y=2x^2+1
equation 2: y=8x+1
equation 3:y=5x^3-1
equation 4: y^2=4x-1
a. equation 1
b. equation 2
c. equation 3
d. equation 4
I need an answer by today ASAP! please!
Answers
Answer:
Equation 2
Step-by-step explanation:
Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.
Write a function for the geometric sequence where the first term is 11 and the common ratio is 4. please help This is due today and I don't understand it I will give brainliest
Answers
Given:
In a geometric sequence,
First term = 11
Common ratio = 4
To find:
The function for the geometric sequence.
Solution:
We have,
First term: a = 11
Common ratio: r = 4
We know that, nth term of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
Putting a=11 and r=4, we get
[tex]a_n=(11)(4)^{n-1}[/tex]
The function notation is
[tex]f(n)=(11)(4)^{n-1}[/tex]
Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.
(8^5)^0 + (7 + 3)^6 x 10^-8
Please answer!!!
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Answer:
1.01 m8
Step-by-step explanation:
The sphere shown has a radius of 3.5
inches. Find the volume
Answers
Answer:
V
≈
179.59in³
Step-by-step explanation:
Because V=4
3πr3=4
3·π·3.53=179.59438in³
What is the slope of this line: y=10
Answers
The slope of this line is 0. If you graph the line y=10, for any x value, the y-value remains 10 (denoted because x is equal to 0 in the actual equation shown, which means that x will not be shown in the equation). The graph would basically just be a straight horizontal line, neither curving up or down.
PLEASEEE HELPPP!!!!
Which of the following relations is NOT a function?
A. ((0, 1), (1, 1), (2, 1), (3, 1))
B. {(0, 1), (0.2), (0, 3), (0,4)}
C. (0,0), (3, 4), (5, 6), (8, 9)}
D. {(0, 0), (2, 2), (4,4), (6, 6))
Answers
Answer:The answer is B cause the 0 repeats multiple times
Step-by-step explanation:
Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?
Answers
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]
Hence,
You sold 20 student tickets.
Which pattern can we use to factor the expression? (x-1)2+(x-1)+4
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will mark brainliest for the correct answer!
Answers
Part (a)
Focus on triangle PSQ. We have
angle P = 52
side PQ = 6.8
side SQ = 5.4
Use of the law of sines to determine angle S
sin(S)/PQ = sin(P)/SQ
sin(S)/(6.8) = sin(52)/(5.4)
sin(S) = 6.8*sin(52)/(5.4)
sin(S) = 0.99230983787513
S = arcsin(0.99230983787513)
S = 82.889762826274
Which is approximate
------------
Use this to find angle Q. Again we're only focusing on triangle PSQ.
P+S+Q = 180
Q = 180-P-S
Q = 180-52-82.889762826274
Q = 45.110237173726
Which is also approximate.
A more specific name for this angle is angle PQS, which will be useful later in part (b).
------------
Now find the area of triangle PSQ
area of triangle = 0.5*(side1)*(side2)*sin(included angle)
area of triangle PSQ = 0.5*(PQ)*(SQ)*sin(angle Q)
area of triangle PSQ = 0.5*(6.8)*(5.4)*sin(45.110237173726)
area of triangle PSQ = 13.0074347717966
------------
Next we'll use the fact that RS:SP is 2:1.
This means RS is twice as long as SP. Consequently, this means the area of triangle RSQ is twice that of the area of triangle PSQ. It might help to rotate the diagram so that line PSR is horizontal and Q is above this horizontal line.
We found
area of triangle PSQ = 13.0074347717966
So,
area of triangle RSQ = 2*(area of triangle PSQ)
area of triangle RSQ = 2*13.0074347717966
area of triangle RSQ = 26.0148695435932
------------
We're onto the last step. Add up the smaller triangular areas we found
area of triangle PQR = (area of triangle PSQ)+(area of triangle RSQ)
area of triangle PQR = (13.0074347717966)+(26.0148695435932)
area of triangle PQR = 39.0223043153899
------------
Answer: 39.0223043153899This value is approximate. Round however you need to.
===========================================
Part (b)
Focus on triangle PSQ. Let's find the length of PS.
We'll use the value of angle Q to determine this length.
We'll use the law of sines
sin(Q)/(PS) = sin(P)/(SQ)
sin(45.110237173726)/(PS) = sin(52)/(5.4)
5.4*sin(45.110237173726) = PS*sin(52)
PS = 5.4*sin(45.110237173726)/sin(52)
PS = 4.8549034284642
Because RS is twice as long as PS, we know that
RS = 2*PS = 2*4.8549034284642 = 9.7098068569284
So,
PR = RS+PS
PR = 9.7098068569284 + 4.8549034284642
PR = 14.5647102853927
-------------
Next we use the law of cosines to find RQ
Focus on triangle PQR
c^2 = a^2 + b^2 - 2ab*cos(C)
(RQ)^2 = (PR)^2 + (PQ)^2 - 2(PR)*(PQ)*cos(P)
(RQ)^2 = (14.5647102853927)^2 + (6.8)^2 - 2(14.5647102853927)*(6.8)*cos(52)
(RQ)^2 = 136.420523798282
RQ = sqrt(136.420523798282)
RQ = 11.6799196828694
--------------
We'll use the law of sines to find angle R of triangle PQR
sin(R)/PQ = sin(P)/RQ
sin(R)/6.8 = sin(52)/11.6799196828694
sin(R) = 6.8*sin(52)/11.6799196828694
sin(R) = 0.4587765387107
R = arcsin(0.4587765387107)
R = 27.3081879220073
--------------
This leads to
P+Q+R = 180
Q = 180-P-R
Q = 180-52-27.3081879220073
Q = 100.691812077992
This is the measure of angle PQR
subtract off angle PQS found back in part (a)
angle SQR = (anglePQR) - (anglePQS)
angle SQR = (100.691812077992) - (45.110237173726)
angle SQR = 55.581574904266
--------------
Answer: 55.581574904266This value is approximate. Round however you need to.
Please help me brainlessly
Answers
Two angles in a right triangle has angle measures of 90° and 50°. What is the measure of the third angle?
Answers
a triangles angles add up to 180 degrees, so 90 + 50 equals 140 and subtracted form 180 is 40
SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!
Answers
Answer:
to be entirely honest i do not know
Step-by-step explanation:
What is the general form of the equation 2x + 3y = 9?
Answers
Answer:
2x + 3y - 9 = 0
Step-by-step explanation:
How many different positive rotations of less than 360 degrees
will map a square to itself?
A. infinitely many
B. 1
C. 3
D. 0
Answers
Answer:
3
Step-by-step explanation:
Took quiz
if the difference of simple interest on a certain amount of money for 4%for five years and 5%for 4 years is. Rs. 28. find the sum
Answers
Answer:
96000
Step-by-step explanation:
N=4years
R=4 %
We have S.I.=
100
PNR
=
100
P×4×4
=
100
16P
=0.16P
And on interest being compounded for 3 years and R=5 %, Amount=P(1+
100
R
)
N
=P(1+
100
5
)
3
=P×(1.05
3
)=1.157625P
So, C.I.=A−P=1.157625P−P=0.157625P
Given, S.I.−C.I=Rs228
=>0.16P−0.157625P=Rs228
=>0.002375P=Rs228
=>P=Rs96,000
Each of the numbers 1 through 7 is written on a small piece of paper and placed in a box. What is the probability of picking a paper with an odd number?
A. 12
B. 47
C. 37
D. 14
I NEED ASAP PLS 20 pnts!
Answers
Answer:
Either C or B I’m not quite sure which one. I’m sorry
Step-by-step explanation:
Read the following prompt and type your response in the space provided.
Write an inequality that could be used to solve the following problem. Do not solve.
Sall's Pizza charges $12 for a large cheese pizza and $2 for each additional topping.
Brian only has $18 to spend on pizza. How many toppings can he get on a large
pizza?
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Answer:
equation form: 12 + 2x = 18
x = 3
lets check the work see if its true
12 + 2(3) = 18
12 + 6 = 18
It Checks!
therefore your answer is 3. He can get 3 different toppings
Step-by-step explanation:
help me please I dont know the answer and I am cleaning the house for my mom
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17/20 = t + (- 13/20)
t = 17/20 + 13/20
t = 30/20
t = 1.5
please help fast will mark brainliest
Answers
Answer:
X=7
Step-by-step explanation:
Hope this helps, have a good day
Someone please Help??