Using a system of equations, it is found that the cost of a paint set is of $19.50.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: cost of a paint set.Variable y: cost of a sketchbook.Variable z: cost of a brush.Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:
x + y + z = 32.50.
The sketchbook cost half the cost of the paint set, hence:
y = 0.5x.
The brush cost one third of the sketchbook, hence:
z = 0.3333(0.5x) = 0.1667x.
Then, to solve for x:
x + y + z = 32.50
x + 0.5x + 0.1667x = 32.50
x = 32.50/1.6667
x = 19.50.
The cost of a paint set is of $19.50.
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In a card game, Alex has 2 diamonds 3 spades 4 clubs, and 1 heart. Without being able to see the cards wes is going to pick one of Alex's cards. What is the probability that wes will pick spade or a club
Answer:
4/10 or 40% chance he picks a spade and 3/10 or 30% he picks a club so in total he would have a 7/10 chance or 70% chance of getting spade or club
Step-by-step explanation:
The probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.
To find the probability that Wes will pick a spade or a club from Alex's cards, we need to determine the total number of spades and clubs in Alex's hand and divide it by the total number of cards.
Total number of spades = 3
Total number of clubs = 4
Total number of cards = 2 (diamonds) + 3 (spades) + 4 (clubs) + 1 (heart) = 10
Therefore, the probability that Wes will pick a spade or a club is:
(Picking spade or club) = (Total number of spades + Total number of clubs) / Total number of cards
= (3 + 4) / 10
= 7 / 10
= 0.7
So, the probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.
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I need some help on this question please
Answer:
D
Step-by-step explanation:
everything that should happen at x+4 happens now at x. that is what that means.
so, the graph shifts 4 units to the left.
If f(x) = 6x+2, find f(-4).
Answer:
-22
Step-by-step explanation:
It would be negative -22
6*(-4)+2
-24+2
-22
Hope this helps :)
Answer -
[tex]f(x) = 6x + 2 \\ \\ \implies \: f( - 4) = 6( - 4) + 2 \\ \\ \implies \: f( - 4) = - 24 + 2 \\ \\ \implies \: f(x) = - 22[/tex]
hope helpful ~
The following curves bound an area: y = 2x + 1, y = -3, and x = 3. Set up the integral to find the VOLUME if this area is revolved about the line x = 3. DO NOT EVALUATE.
First note the intersections of each pair of lines.
x = 3 ⇒ y = 2•3 + 1 = 7 ⇒ (3, 7)
y = -3 ⇒ -3 = 2x + 1 ⇒ x = -2 ⇒ (-2, -3)
y = -3 and x = 3 ⇒ (3, -3)
Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of
∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y
As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral
[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]
can someone help me with this?
Answer:
36 ft.
Step-by-step explanation:
The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.
It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.
Hypotenuse: 5 x 3 = 15
Leg 1: 4 x 3 = 12
Leg 2: 3 x 3 = 9
Perimeter: 15 + 12 + 9 = 36
36 ft. is your answer.
Please help me :) .......
The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units
Transformation techniquesTransformation is a means of changing the size and shape of an object in a xy-plane.
For the given function, its parent function is f(x) = |x|
The expression f(x) = 2|x| shows that the function is vertically stretched by 2 units.
The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units
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answers to the question
1
5
7
9
11
Answer:
x = 1 , x = 9
Step-by-step explanation:
from the table
f(x) = g(x) = 14 when x = 1 , and
f(x) = g(x) = 6 when x = 9
then the solutions to f(x) = g(x) are
x = 1 and x = 9
Of 750 people surveyed, 440 were male and 345 had cell phones. Of those with cell phones, 205 were female. What is the probability that a person surveyed was male or had a cell phone?
before i continue my keyboard is malfunctioning so bear with me
answer:
25/68
Step-by-step explanation:
total number-750
males-440
females-750-440=310
those with Cell -345
females with cell -205
males-345-205=140
male with cell -140/345
=25/68
Answer:
25/68
Step-by-step explanation:
total number=750
Male=440
Female=750-440
=310
People with cell phone= 345
Female with cell phone=205
Male=345-205
=140
Male with cell phone=140/345
=25/68
I need help with this asap .. i have to get it done before morning
Answer:
Can you please tell me what you need done?
Step-by-step explanation:
I would love to help you but it seems you haven't put any information.
On a test that has a normal distribution, a score of 29 falls two standard deviations
below the mean, and a score of 49 falls three standard deviations above the mean.
Determine the mean of this test.
The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,
μ - 2σ = 29
μ + 3σ = 49
By subtracting the first equation from the second, then we will get,
μ + 3σ - μ + 2σ = 49-29
5σ = 20
σ = 4
Now, substitute the value of σ in the equation,
μ - 2σ = 29
μ - 2(4) = 29
μ = 29 + 8
μ = 37
Hence, the mean of this test is 37.
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Hello, please choose the correct choice, please and thanks.
Answer:
I think it is (2,3.5)
Step-by-step explanation:
See im ova here trying my best so if it's wrong don't me coming foe me
9
i need help!!
——————-
math geniuses pls help me!
———————
pls!!!
Answer:
A. (-2√2, -2√2)
Step-by-step explanation:
Just use conversion formulas
hope this helps:)
Find the value of B+4 when B=17
Answer:
Step-by-step explanation:
17 + 4 = 21
Answer:
B + 4 = 17+4
21 is the answer
The first rule is add 2 starting from 0. The second rule is add 6 starting from 2. What is the third ordered pair using the terms in each sequence?
(6, 20)
(2, 8)
(8, 26)
(4, 14)
Answer:
I think it would be 2,8
Step-by-step explanation:
hope it helps u
Find the vertex of this parabola. y = -2x2 4x 12 a. (-4, 12) b. (-2, 6) c. (3, 6) d. (1, 14)
We will see that the vertex of the quadratic equation is at (1, 14)
How to find the vertex of a quadratic function?For a general quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The x-component of the vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 + 4x + 12[/tex]
Then the vertex is at:
[tex]x = -4/(2*-2) = 1[/tex]
To get the y-component of the vertex, we need to evaluate in x = 1.
[tex]y = -2*1^2 + 4*1 + 12 = -2 + 4 + 12 = 14[/tex]
Then we conclude that the vertex is at (1, 14), so the correct option is d.
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PLSS HELP ILL GIVE BRAINLIEST ASAP
Find the surface area of the regular pyramid
Answer:
the surface area of the regular pyramid is 169.19
Rita has a circular hot tub. the hot tub has a circumference of 25.12 feet. it is 3.5 feet deep.
how much water can the hot tub hold?
Volume is a three-dimensional scalar quantity. The amount of water that the tub can hold is 4,981.75 litres.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the circumference of the tub is 25.12 feet, therefore, the radius of the circumference of the tub will be,
Circumference = 2πr
25.12 = 2×π×r
r = 3.9979ft ≈ 4ft
Now, the volume of the tub will be,
Volume = πr²h = π×(4²)×3.5 = 175.929 ft³
Since 1 ft³ is equal to 28.3168 litres, therefore, the amount of water that a tub can store is
Volume of water = 175 × 28.3168 = 4,981.75 litres
Hence, the amount of water that the tub can hold is 4,981.75 litres.
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the quotient if b and 3 is greater than or equal to 19
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
The quotient of b and 3 is greater than or equal to 19.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
✥First, the word "quotient" indicates that we divide.
Here we have "the quotient of b and 3", so we divide b by 3:-
[tex]\hookrightarrow[/tex][tex]\sf{b\div3}[/tex]
Now, this expression is greater than or equal to 19:-
[tex]\sf{b\div3\geq 19}[/tex]
How to Solve for b
✳︎ Multiply by 3 on both sides:-
[tex]\sf{b\geq 19\times3}[/tex]
On simplification,
[tex]\sf{b\geq 57}[/tex]
So the values of b greater than or equal to 57 will make this inequality true.
Let's solve another one.
✳︎ A number y increased by 5 is at least -21.
First, "increased" means we add 5.
Since y is increased by 5, we add 5 to y:-
[tex]y+5[/tex]
Now this expression is at least -21, which means it can't be less than -21, thus, it's greater than or equal to -21, which looks as follows:-
[tex]\sf{y+5 \geq -21}[/tex]
[tex]\rule{300}{1}[/tex]
[Solving for y]
Subtract 5 on both sides:-
[tex]\sf{y \geq -21-5}[/tex]
On simplification,
[tex]\sf{y \geq -26}[/tex]
So the values of y greater than or equal to -26 will make this inequality true.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
How much water fills the prism and what’s the slant height ?
Answer:
I. 56 cubic feet of water.
II. 5 feet
Step-by-step explanation:
Type the correct answer in each box. use numerals instead of words. a manufacturer tests a certain number of the headsets that are produced each day. if 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, what is the chance of finding a defective headset? round your answer to the nearest tenth. there is a % chance of finding a defective headset.
The chance of finding a defective headset is 2.5%
How to determine the probability?The given parameters are:
Total = 280
No defects = 273
The number of defective headsets is:
Defective = 280 - 273
Evaluate
Defective = 7
The probability that a defective headset is selected is:
P(Defective) = 7/280
Express as percentage
P(Defective) = 2.5%
Hence, the chance of finding a defective headset is 2.5%
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Please help ASAP
The internal measures of a cubiodal room are 12m x 8m x 4m. Find the total cost of whitewashing all four walls of a room. If the cost of whitewashing is ₹5 per m². what will be the cost of whitewashing if the ceiling of the room is also whitewashed.
Let the length of the room = L = 12m
width of the room = b = 8m
Height of the room = h = 4m
• Area of the four walls of the room = Perimeter of the base x Height of the room.
[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]
[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]
Cost of white washing per m² = ₹5Hence , the total cost of white washing four walls of the room ;-
₹ ( 160 x 5 ) = ₹ 800Area of ceiling is 12 x 8 = 96m².Cost of white washing the ceiling.
₹ (96 x 5 ) = ₹ 480.So , the total cost of white washing ;
₹ ( 800 + 480 ) = ₹ 1280 .Hope this helps you :)
#Carry on learning# :) ..
help!!!! please hurry!
Answer:
w=8
Hope this helps!!
Find the surface area of the triangular prism shown below.
Select the correct answer. what is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)
The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
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Answer:D
Step-by-step explanation:
i got it on edmentumn
what does tally mean?
Answer:
To mark or take note of.
Step-by-step explanation:
can i get some help with this i suck at algebra
Answer:
Slope-Intercept: C,H,F,I,P,T
Standard: B,D,K,N,O,Q,S
Point-Slope: A,E,G,F,L,M,R
Step-by-step explanation:
Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.
All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.
The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.
Help-
This is due today
Mason is slicing butter for the meal he is preparing describes the vertical cross-section when the knife slices to the butter parallel to its sides?
The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
What is a three dimensional figure?A three dimensional figure is a polygon with length, width and height. Examples are cone, cylinder, prism, pyramid and so on.
The shape of the butter is rectangular prism. The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
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Answer:
the answer for this question is 3 in 2.5 inches or 5 in 2.5 inches
Step-by-step explanation:
Solve the system of equations: y = 2x – 3 y = x2 – 3 A. (0, –3) and (2, 1) B. (0, 3) and (2, 0) C. (–1, –5) and (4, 5) D. (3, 6) and (–3, 6)
Answer:
A. (0,-3) the other possible anser is (2,1) but that's not an option
help me, please!!!!!
Answer:
x-10+2x+5+35=180
3x-5+35=180
3x=180-50
x=150÷3
x=50
Therefore option D is write answer
Answer:
D (x = 50°)
Step-by-step explanation:
Angles in a triangle add up to 180°.
∴ (2x + 5)° + (x - 10)° + 35° = 180°
2x + x + 5 - 10 + 35 = 180
3x + 30 = 180
3x = 150
x = 50°
Hope this helps!