The linear system with two variables is used to find the price. The price of each game is $60 and the price of each controller is $30.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A customer at a video game store pays $420 for 6 games and 2 controllers.
A second customer pays $180 less than the first customer for 2 games and 4 controllers.
The price of each game is the same, and the price of each controller is the same.
Let x be the price of games and y be the price of the controller. Then the equations will be
6x + 2y = 420 ...1
2x + 4y = 240 ...2
By solving the equations 1 and 2, then we have
x = 60 and y = 30
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Polygon PQRST shown below is dilated with a scale factor of 3, keeping the origin as the center of dilation: Which statement about polygon PQRST and its image after dilation, polygon P’Q’R’S’T’, is correct? The lengths of side RQ and side R’Q’ are in the ratio 1:3. The length of diagonal RT is equal to the length of diagonal R’T’. The measures of angle S and angle S’ are in the ratio 1:3. The length of side PQ is equal to the length of side P’Q’.
A)
The lengths of side RQ and side R'Q' are in the ratio 1:3.
Which statement(s) are true based on the pythagorean identities?
The Pythagorean identities are sin² θ + cos² θ = 1, 1 + tan² θ = sec² θ, and 1 + cot² θ = cosec² θ. Then the correct options are B, C, and E.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
We know that
[tex]\rm H^2 = P^2+B^2[/tex]
Divide the equation by H², then we have
[tex]\rm\dfrac{P^2}{H^2}+\dfrac{B^2}{H^2} = 1 \\\\\sin ^2 \theta + \cos ^2 \theta = 1[/tex]
Similarly, the equation is divided by P² and B², then we have
[tex]\rm 1 + \tan ^2 \theta = \sec ^2 \theta \\\\1 + \cot ^2 \theta = cosec ^2 \theta[/tex]
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Help me figure out the one on the bottom please!
Answer:
a = 7
Step-by-step explanation:
You have correctly found the perimeter of the figure to be (34a+12). To find the value of 'a', solve the equation that sets this equal to 250.
34a +12 = 250
34a = 238 . . . . . . . subtract 12
a = 238/34 = 7 . . . . . divide by the coefficient of 'a'
The value of "a" is 7.
✏Answer ✏
A=7
Step-by-step explanation:
# Brainliest Bunch
In order to conduct an experiment 5 subjects are randomly selected from a group of 40 subjects how many different groups of 5 subjects are possible
Answer:
This can be done using the choose function.
The number of combinations are given by:
(
n
k
)
=
n
!
k
!
(
n
−
k
)
!
where
n
is the total number of students and
k
is the number of students to be picked. So we have
n
=
20
and
k
=
5
:
(
20
5
)
=
20
!
5
!
(
20
−
5
)
!
=
20
!
5
!
15
!
Evaluate directly with a calculator:
20
!
5
!
15
!
=
15504
we can simplify this before calculation by hand:
20
!
5
!
15
!
=
20
×
19
×
...
×
2
×
1
5
×
4
×
3
×
2
×
1
×
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
(
15
×
...
×
1
)
(
5
×
...
×
1
)
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
15
×
...
×
1
(
5
×
...
×
1
)
15
×
...
×
1
=
(
20
×
19
×
18
×
17
×
16
)
(
5
×
4
×
3
×
2
×
1
)
Simplify the numbers matched up by color:
=
(
4
×
19
×
9
×
17
×
4
)
(
1
×
1
×
3
×
1
×
1
)
=
(
4
×
19
×
3
×
17
×
4
)
(
1
×
1
×
1
×
1
×
1
)
=
3
×
4
×
4
×
17
×
19
=
48
×
323
=
15504
The quotient of 7 and the difference of a number and 8
Answer:No paper necessary. The only 2 numbers that I can think of that would fit this premise would be 8 divided by 1 . The difference between the two numbers is 7.
Step-by-step explanation:
What is the equation of the line that passes through the point (-2,-8) and has a slope of 11?
Answer:
y = 11x +14
Step-by-step explanation:
The work:
[tex]y-y_{0} =m(x-x_{0} )[/tex]
[tex]x_{0} =-2\\y_{0} =-8\\m=11[/tex]
[tex]y-(-8)=11(x-(-2))[/tex]
[tex]y+8=11(x+2)[/tex]
[tex]y=11x+22-8[/tex]
The equation:
[tex]y=11x+14[/tex]
Hope this helps
Mrs. Burgess will go to the gym on 20 different days this month. A one day pass to the gym costs $9.65. A monthly pass to the gym costs $145. How much will Mrs. Burgess save by buying a monthly pass?
Answer:
Mrs. Burgess will save $48 by buying a monthly pass.
Step-by-step explanation:
Let's compare the one-day pass to the monthly pass by finding how much 20 one-day passes will cost.
Multiply the price for a one day pass, $9.65, to the gym by 20 days:
$9.65 * 20 = $193Compare this price to the monthly pass price by subtracting these values.
$193 - $145 = $48If Mrs. Burgess buys the monthly pass of $145 instead of buying 20 day passes for $193, she will save $48.
The measures of KJ and LM are shown.
What is the m
Answer:
∠ MAJ = 50°
Step-by-step explanation:
the chord- chord angle KAJ is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is
∠ KAJ = [tex]\frac{1}{2}[/tex] (KJ + LM ) = [tex]\frac{1}{2}[/tex] (190 + 70)° = [tex]\frac{1}{2}[/tex] × 260° = 130°
then
∠ MAJ and ∠ KAJ are adjacent angles and sum to 180° , so
∠ MAJ + 130° = 180° ( subtract 130° from both sides )
∠ MAJ = 50°
Answer:
50
Step-by-step explanation:
The numbers of beans in some cocoa pods are 30 28 30 35 40 25 36 38 and 40. Calculate the mean number of beans per cocoa pods
i can do math but you give me a math proble
Answer:
3+3? bet u can’t do that ;-;
Step-by-step explanation:
What is the value of the expression below when y=4?
3y2 + y +8
Answer:
Step-by-step explanation:
=3(4)^2 + 4 + 8
=3(16) + 4 + 8
= 38 + 12
= 60
What’s The Answer Of This? Please Answer ASAP
Answer: 67 degrees
Step-by-step explanation:
7. A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed? 6 It 15 It
The circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
What is a cone and a circle?
A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 )
A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Given the data in the question;
Volume of the cone ( silo ) V = 132ft³Height of the silo h = 6ftRadius r = ?We substitute our values into the expression above find the radius of the base of the silo.
V = (1/3)πr²h
132ft³ = (1/3) × 3.14 × r² × 6ft
132ft³ = 6.28ft × r²
r² = 132ft³ / 6.28ft
r² = 21.0191ft²
r = √21.0191ft²
r = 4.58ft
Now, since the radius of the base of the silo is 4.58ft, the circumference of the base will be;
C = 2πr
C = 2 × 3.14 × 4.58ft
C = 28.8ft
Therefore, the circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
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 GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answer:
14w
Step-by-step explanation:
Width = w
Length is 6 time its width. so, multiply w by 6
length = 6*w = 6w
Perimeter of rectangle = 2* (length + width)
= 2*(6w + w)
= 2*7w
= 14w
y /3 − –7 = 10 solve for y
Answer:
9
Step-by-step explanation:
10+ -7
3
3 = 9/3
9
Find the Inverse - f(x) = 5x - 6
Answer:
f⁻¹(x) =
Step-by-step explanation:
Given function,
→ f(x) = 5x - 6
We are supposed to find ths inverse of the given function. Consider the function, y = f(x).
→ y = 5x - 6
Add 6 to both sides.
→ y + 6 = 5x - 6 + 6
Solve the equation.
→ y + 6 = 5x
Division both sides by 5.
→ y + 6/5 = 5x/5
Solve the equation.
→ (y + 6)/5 = x
Can be re-written as,
→ x = (y + 6)/5
Now, recall f(x) = y, this implies x = f⁻¹(y).
→ f⁻¹(y) = (y + 6)/5
So the final answer is:
→ f⁻¹(x) = (x + 6)/5
Jacob bought one bulb of elephant garlic for $3. How many bulbs can Stephanie buy if she has $21
Answer: 7 bulbs
Step-by-step explanation: 21/3
J & J’s Landscaping Co. makes about $320 a weekday, and ends up with weekly expenses of $1000. How much profit do they expect at the end of one week?
A.$1320
B.$2600
C.$-680
D.$600
James is framing a rectangular print for art class and needs to know the perimeter. The length of the print is 24 inches and the width is 18 inches. What is the perimeter in inches of the print?
Answer:
84
Step-by-step explanation:
Given,
Length of the print(l) = 24 inches
Width of the print(b) = 18 inches
Perimeter of the print(P)= ?
We know,
Perimeter of the print(P) = 2(l + b)
= 2(24 + 18)
= 2(42)
=84 inches^2
How do i solve this??
Answer:
$49.29 Give me brainliest please
In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .
a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.
The equation h(t) = -16t² + 24t is an illustration of a quadratic model
The equation when the fielder catches the ball is -16t² + 24t = 3The fielder will catch the ball after 0.14 seconds or 1.36 secondsThe equation when the fielder catches the ballThe equation that represents the path of the kick ball is given as
h(t) = -16t² + 24t
The fielder catches the ball at a height of 3 ft above the ground.
This means that:
h(t) = 3
So, we have:
-16t² + 24t = 3
Hence, the equation when the fielder catches the ball is -16t² + 24t = 3
How long the ball has been in the air whenIn (a), we have:
-16t² + 24t = 3
Rewrite as:
-16t² + 24t - 3 = 0
Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology
From the graph (see attachment), we have the following solutions
t = 0.14 and t = 1.36
Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds
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Find the dimensions of the rectangle if the length is (x+8), the width is (x+3) and the area is 234ft^2
The dimension of the rectangle 18 feet by 13feet
How to calculate the area of a rectangleA rectangle is a 2 dimensional shape having two sides.
Area of a rectangle = length * width
Given the following parameters
Length = x + 8
Width = x + 3
Area = 234ft^2
Substitute the given parameters into the formula
(x+8)(x+3) = 234
x² + 3x + 8x + 24 = 234
x² + 11x = 234 - 24
x² + 11x = 210
x² + 11x - 210 = 0
Factorize
x² + 21x - 10x - 210 = 0
x(x+21) - 10(x+21) = 0
x - 10 = 0
X = 10
Leength = x + 8
Length = 18 feet
Width = x + 3
Width = 3 + 10
Width = 13feet
Hence the dimension of the rectangle 18 feet by 13feet
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Write an equation in point-slope form for the graph shown below?
Answer:
y-4=-2/5(x+5)
Step-by-step explanation:
Points slip form is y-y₁=m(x-x₁)
Since you have a graph we can see the line goes down 2 and over 5. Since the slope is going downwards it is a negative slope. This mean m=-2/5. Then pick any point on the line ( I chose (-5,4)) and plug it in for y₁ and x₁.
Angle Terminology with Equations
DELTA MATH
Answer:
x = 13
Step-by-step explanation:
Vertical angles are always congruent (equal)
⇒ ∠A =∠B
⇒ (8x - 12) = (6x + 14)
⇒ 2x = 26
⇒ x = 13
Angle A and Angle B are vertical angles . If mAngle A = ( 8x - 12 )° and mAngle B = ( 6x + 14 )°, then find the value of x .
Given : -Angle A = ( 8x - 12 )°Angle B = ( 6x + 14 )°To Find : -We have to find the value of x
Concept : -Concept of this question belongs to vertical angles i.e. vertical angle are always equal .
So Starting Our Solution : -Angle A = Angle B 8x - 12 = 6x + 14 8x - 6x = 14 + 122x = 26x = 26/2x = 13[tex] \pink{\boxed {Therefore , \: value \: of \: x \: i s \: 13}}[/tex]
Verification : -We are verifying our answer by putting the value of x in given Angle A and Angle B ,
Angle A = Angle B( 8x - 12 )° = ( 6x + 14 )°[ 8 ( 13 ) - 12 ]° = [ 6 ( 13 ) + 14 ]°( 104 - 12 )° = ( 78 + 14 )°92° = 92°L.H.S = R.H.SHence, Verified .Therefore , our answer is correct .
#Keep LearningIf andrew has 10 fish, and 4 of them drown, 3 swim away, and 1 dies of unknown reasons, how many fish does he have left?
Answer: Non
Step-by-step explanation:
If Andrew has 10 fish 4 dies he ends up with six. If 3 swim away he will have 1. If 1 does he would end up with non left.
Answer:5
Step-by-step explanation:
10 fish, 4 drown, so now 6 left,one dies, 5 left, and 3 swim away yet they are still his. They can't swim away in a fish tank.
hope it helped :D
Simplify (b^9)^3
(I use ^ to symbolize to the power of)
Enter a range of values for x.
14
62
2x+10
15
20
Answer:
-5
Step-by-step explanation:
The range of values for x is {2, 26, 2.5, 5} in the given case where we have to enter values.
To provide a range of values for x based on the given information, we need to solve the equation 2x+10 = 14, 62, 15, and 20.
Let's solve the equation for each given value: 1. 2x+10 = 14:
Subtract 10 from both sides of the equation: 2x = 4
Divide both sides of the equation by 2: x = 2 2. 2x+10 = 62:
Subtract 10 from both sides of the equation: 2x = 52
Divide both sides of the equation by 2: x = 26 3. 2x+10 = 15:
Subtract 10 from both sides of the equation: 2x = 5
Divide both sides of the equation by 2: x = 2.5 4. 2x+10 = 20:
Subtract 10 from both sides of the equation: 2x = 10
Divide both sides of the equation by 2: x = 5
Therefore, the range of values for x is {2, 26, 2.5, 5}.
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A local Target store bought 90 pizzas at Pizza Hut for its holiday party. Each guest ate 1/6 of a pizza and there was no pizza left over. How many guests did Target have for the party?
By taking a quotient, we will see that the number of guests is 540.
How to find the number of guests?
Because we know that each guest ate a fixed amount of pizza, and there was no pizza left, we know that the number of guests will be equal to the quotient between the total number of pizzas bought, and the amount of pizza that each guest ate.
This is:
[tex]N = \frac{90}{1/6}[/tex]
We can rewrite that quotient as:
[tex]N = \frac{90}{1} / \frac{1}{6} = \frac{90*6}{1*1} = 540[/tex]
So the number of guests is 540.
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I really need help with this
The relationship between the size of the drink and the price of the drink is positive and upward sloping.
What is a graph?
A graph is used to represent data in a pictoral format. On the graph, there is the x-axis and the y-axis. exhibits a positive relationship if the graph is upward sloping. The variables exhibits a negative relationship if the graph is downard sloping.
Please find attached the image of the graph.To learn more about graphs, please check: https://brainly.com/question/21527145
Lab tests of a new drug Indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created the random data in
the table using a representative simulation. The letter Estands for "effective," and N stands for "not effective."
EEEE NEEE EEEE EEEN NEEN
NEEE EENE NNNE NEEN EENE
NENE EEEE EEEE NNNE ENEE
NEEN ENEE EENN ENNE NEEE
ENEN EEEE EEEN NEEE EENN
EENE EEEN EEEE EENE EEEE
ENEE ENNN EENE EEEE EEEN
NEEE ENEE NEEE EEEE EEEE
NENN EENN NNNN EEEE EEEE
ENNN NENN NEEN ENEE EENE
would not be effective is
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation:
200
First we need to figure out how many tests they did :)
20 x 10 = 200
Now lets divide to see the percentage of how effective and not effective it is :)
Not effective: 31.5%
63/200 = 0.315 x 100 = 31.5
Effective: 68.5%
137/200 = 0.685 x 100 = 68.5
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation: