Solve for all values of x by factoring.
x^2-x=3x
Answer:=0,4
Step-by-step explanation:
inverse operation for 20n=300
Answer:
n=15
Step-by-step explanation:
20n=300
divide by 20 on both sides
20n/20=n
300/20=15
n=15
The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.
Answer:
a is the correct answer in e2020
Step-by-step explanation:
Based on the calculations, the row operation (-2R₁ + R₂ → R₂) is equal to:[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
How to determine a row operation?First of all, we would write a matrix to represent the number of tickets sold and the total cost of the tickets for three performances as follows:
[tex]\left[\begin{array}{cccc}3&12&8&102\\6&10&6&102\\0&15&5&85\end{array}\right][/tex]
Next, we would perform this row operation (-2R₁ + R₂ → R₂):
[tex]\left[\begin{array}{cccc}3&12&8&102\\(-2\times 3+6)&-2\times 12+18)&-2\times 6+6)&-2\times 102+162)\\0&15&5&85\end{array}\right][/tex]
Evaluating further, we have:
[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
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Complete Question:
The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.
[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
What is the result of performing the row operation (-2R₁ + R₂ → R₂) on this matrix?
Jane drove 325 miles in 5 hours. At the same rate, how many miles would she drive in 7 hours? miles
Answer:
455 miles
Step-by-step explanation:
ANSWER QUICKLY. I GIVE BRAINLIEST AND A FOLLOW.
Answer:
(4,-3)
Step-by-step explanation:
This is where the 2 lines meet
Answer:
- 1/2
Step-by-step explanation:
edit (sorry i was wrong)
what's the answer?
the last part is nearest tenths
which number is a rational number
49. 9/2 13/16 34
Answer:
49.9
Step-by-step explanation:
What is the kinetic energy of a 54 kg mass traveling at 15 meters per second?
kg * m/8
405
kg * m^2/8^2
6075
kg * m/8
420
kg * m^2/8^2
12,150
Given that an object with a mass of 54kg travels at 15m/s^2, determine the kinetic energy of the object.
KE = 0.5 x mv^2
M (mass) = 54kg
V (velocity) = 15m/s^2
Then, we plug the values in.
KE = 0.5 x 54(15^2)
Now, we solve.
KE = 0.5 x 54(225)
KE = 0.5 x 12150
KE = 6075
Now, that we have solved the formula, we can see that the kinetic energy of the object is 6,075J.
Thus, the kinetic energy of the object is 6,075J.
add or subtract (m^2-m-4)+(m-5)
---------------------------------------------------------
(m^2-m-4)+(m+5)
Remove parentheses:
m^2-m-4 + m+5
Group like terms:
m^2-m+m-4+5
Add similar elements:
m^2-4+5
Add/subtract the numbers:
m^2+1
Your Answer Is m^2+1
plz mark me as brainliest if this helped :)
Answer:
[tex]m^{2} -9[/tex]
Step-by-step explanation:
add the subtracted 4 and 5
What is the measure of angle c
A)35
B)60
C)110
D)120
Answer: I believe that answer is D.
Step-by-step explanation:
-The angle below it is also 120 degrees.
-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.
Right angle-is 90 degrees exactly
Hope this helps!
Answer:
yeah its most definitly D
Step-by-step explanation:
...
Look at the graph of the functions. Given the original function, f(x)=x to the square root,what is a possible equation for the translated function, g(x)?
Answer:
c
Step-by-step explanation:
Answer:
The answer is c look at the picture below
Step-by-step explanation:
Which expression is equivalent to
Someone help me I really need it I really need it
Answer:
168in
Step-by-step explanation:
a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation y=35795(0.83), where x represents the number of years since purchase and y represents the value (in dollars) of the car. How much will the car be worth five years after it is first purchased? How do you know? describe your calculation process.
We have been given that a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation [tex]y=35795(0.83)^x[/tex], where x represents the number of years since purchase and y represents the value (in dollars) of the car.
To find the value of car of after 5 years, we will substitute [tex]x=5[/tex] in our given equation as:
[tex]y=35795(0.83)^5[/tex]
[tex]y=35795\cdot (0.3939040643)[/tex]
[tex]y=14099.79598[/tex]
Upon rounding to nearest tenth, we will get:
[tex]y\approx 14099.8[/tex]
Therefore, the car will be worth $14,099.8 after 5 years it is first purchased.
Since $14,099.8 is less than original value of car, therefore, we know hat value of car is depreciating and $14,099.8 is correct answer.
We also know that an exponential decay function is in form [tex]y=a(1-r)^x[/tex], where,
y = Final value after t years,
a = Initial value,
r = Decay rate in decimal form,
x= Time.
[tex]17\%=\frac{17}{100}=0.17[/tex]
[tex]y=35795(1-0.17)^x[/tex]
[tex]y=35795(0.83)^x[/tex]
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation?
n+ (n + 6) = 24, where n is the number of yellow marbles
n + 6 = 24, where n is the number of yellow marbles
n + 6 = 24, where n is the number of blue marbles
n+ (n + 6) = 24, where n is the number of blue marbles
Answer:
D
Step-by-step explanation:
Answer:
n+ (n + 6) = 24
Step-by-step explanation:
a car rental company rents vehicles to groups one group rented 5 vans and 2 cars to fit 70 people another group rented 3 vans and 4 cars to fit 56 people each vehicle was completely filled how many people fit in a van how many people fit in a car
Answer:
12 people fit in a van, 5 fit in a car
Step-by-step explanation:
v is people in a van, c is people in a car
5v+2c=70
3v+4c=56
5v+2c=70
2c=70-5v
c=35-2.5v
now use substitution to plug in c
3v+4(35-2.5v)=56
3v+140-10v=56
140-7v=56
-7v=-84
v=12
now we know v, plug it in to find c
5(12)+2c=70
60+2c=70
2c=10
c=5
12 people fit in a van, 5 fit in a car
The bill at a restaurant is 37.52. Helen wants to leave a 15% tip. If Helen has $40, will she have enough money to pay the bill?
Answer:
No, she will go $3.15 above 40.
Step-by-step explanation:
1. Since the tip is 15%, you can either multiply 37.52 by 1.15 or 0.15. In the route of multiplying by 0.15, you need to add it to 37.52. I will multiply by 1.15 to make it easier.
2. 37.52x1.15 = 43.148 or about $43.15 (rounded).
If a circle has a circumference of 81.64 cm, what is the radius?
Answer:
c = Circumference=pid= 81.64 To find the radius of a circle you can just divide the diameter by 2.
pi = 3.14
d = diameter=c/3.14 Pi is always 3.14 or 22/7.
d = 81.64/3.14
d = 26
r= radius= 26/2
radius=13 cm
Step-by-step explanation:
What information relevant to calculating are do we have available for this triangle?
Answer:
Well, since we are not given any graphics or additional information, I'll resort to listing four triangle area formulas:
1) triangle area = (1/2) * base * height
2) Heron's Formula ("s" = semiperimeter, which is the sum of all 3 sides divided by two)
triangle area = square root [s * (s - side a) * (s - side b) * (s - side c)]
3) For 2 sides and the INCLUDED Angle:
Area = side 1 * sine (angle A) * side 2
Step-by-step explanation:
If RS = 30 degrees, then m
Answer: 30degrees
Step-by-step explanation:
Analyzing a Claim
Is Miguel's claim correct?
The two-way table shows the distribution of book style to
genre. Miguel claims that given that the book is
paperback (PB) does not affect the outcome that the
book is nonfiction (NF).
Fiction
Nonfiction Total
O Yes, the two events are independent because
P(NFPB) = P(NF).
O Yes, the two events are independent because
P(PBINF) = P(NF).
O No, the two events are not independent because
P(PB|NF) # P(PB)
O No, the two events are not independent because
P(PB|NF) + P(NF).
Paperback
20
60
80
Hardcover
10
30
40
Total
30
90
120
Answer:
Yes, the two events are independent because P(NF | PB) = P(NF)
Step-by-step explanation:
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
Find the volume of this prism 5cm,12,cm 15cm,6cm 8cm
Answer:
840 cm³
Step-by-step explanation:
In the figure attached, the prism is shown.
The prism can be divided into two rectangular prisms, one at the top, with dimensions 5 x 4 (= 12 - 8) x 6 cm, and the other one at the bottom with dimensions 15 x 6 x 8 cm.
Area of the first prism: 5*4*6 = 120 cm³
Area of the second prism: 15*6*8 = 720 cm³
Then, the volume of the complete prism is 120 + 720 = 840 cm³
The required total volume of the complete prism is 840 cm³.
We have to determine, The volume of the prism 5cm,12,cm 15cm,6cm 8cm.
According to the question,
The prism can be divided into two rectangular prisms,
First part at the top, with dimensions [tex]= 5 \times 4 \times( 12 - 8) = 5\times 4 \times 6 cm,[/tex]
And the other part one at the bottom with dimensions [tex]= 15 \times 6 \times 8 cm.[/tex]
Area of the first prism: [tex]5\times4\times6 = 120 cm^{3}[/tex]
Area of the second prism: [tex]15\times6\times8 = 720 cm^{3}[/tex]
Then, The Total volume of the complete prism is 120 + 720 = 840 cm³
Hence, The required total volume of the complete prism is 840 cm³.
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Can someone please help what would the chord, radius , diameter and secant be
Answer:
DB is a chord, CG is the radius, AB is the diameter, and MN is a secant.
Answer:
see below
Step-by-step explanation:
The diameter goes from one side to the other passing through the middle
AB is the diameter
Radius goes from one side to the middle
AC or BC is the radius
The chord connects two points on the circles edge
BD AB are chords
Secant is a line that intersects the circle at two points
MN is the secant
Need help with this pls!!
(Show work pls!!)
Answer:
Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars.
Step-by-step explanation:
Let's set Mark's salary as x.
Steven=x+3
Last Friday, Steven earned 5(x+3) dollars, while Mark earned 6x dollars.
We can write the sum of these salaries as:
5(x+3)+6x=147
5x+15+6x=147
11x+15=147
11x=132
x=12
Then, we can substitute x with 12.
Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars.
Answer: Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars
Step-by-step explanation:
Pls help me on this rq
Answer:
(+,-)
Step-by-step explanation:
On the x axis it is negative and on the y axis it is positive
hope this helps!!!
Plz hurry (Inequalities)
Answer:
its 6
Step-by-step explanation:
The answer is 6 because inequality means -Inequality (mathematics), a relation between two values when they are different.
Answer:
Step-by-step explanation:
-7
Determine the value of x
Answer:
80⁰
Step-by-step explanation:
x = sum of alternate angles
x = 50 + 30
x = 80⁰
Triangle M N L is shown. Angle M N L is a right angle. The length of N L is 15 and the length of hypotenuse M L is 25.
Given right triangle MNL, what is the value of cos(M)?
Three-fifths
Three-fourths
Four-fifths
Five-thirds
Answer:
4/5
Step-by-step explanation:
took it on edg
The value of cos(M) is determined as Four-fifths (4/5).
Length of adjacent side of the right triangle
The length of the adjacent side of the right triangle is calculated as follows;
adj² = hyp² - opp²
adj² = 25² - 15²
adj² = 400
adj = √400
adj = 20
Value of cos(M)
Cos (M) = adj/hypo
Cos (M) = 20/25
Cos (M) = 4/5
Thus, the value of cos(M) is determined as Four-fifths (4/5).
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Given:
m < ark VC = m < ark VE
Prove: QV·KV = LV·PV
Answer:
this is a no solution
Step-by-step explanation:
A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much would it cost to manufacture 6 paperweights?
Answer:
It would cost $232.32, this answer is rounded.
Step-by-step explanation:
The formula for the volume of a square pyramid is:
[tex]V=a^2\frac{h}{3}[/tex]
So its just:
[tex]8.8^2\frac{12.5}{3} = 322.67 cm^3[/tex]
Then you just multiply the volume by the cost per cubic centimetre:
[tex]322.67cm^3*$0.12=$38.704[/tex]
After just multiply the cost of one by how many you want, which is 6:
[tex]38/704*6=232.32[/tex]
The cost to manufacture 6 paper weight is $232.32
Volume of a square pyramid:v = 1 /3 b²hwhere
b = base
h = height
Therefore,
v = 1 / 3 × 8.8² × 12.5
v = 1 / 3 × 77.44 × 12.5
v = 968 / 3
v = 322.666666667 cm³
1 cm³ = $0.12
322.67 cm³ = ?
cost of a paperweight = 322.67 × 0.12 = $38.72
Therefore,
1 paper weight = $38.72
6 paper weight = ?
cross multiply
cost of 6 paper weight = 6 × 38.72
cost of 6 paper weight = $232.32
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