The cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the cost of the pass is $x
The souvenir cost 1/2 the cost of the pass, which is x/2
The burger was 1/3 as much as the souvenir, which is (1/3)(x/2) = x/6
x + x/2 + x/6 + 2 = 19.50
x = 21/2
x = $10.5
The cost of pass = $10.5
The cost of burger = $1.75
The cost of souvenir = $5.25
Thus, the cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.
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The scale factor for ΔABC to ΔMNL is:
Answer:
2
Step-by-step explanation:
The scale factor shows the proportion of a number to another one
The side lengths for triangle ABC: 12-4-2
The side lengths for triangle LMN: 6-2-1
if we write them as fractions
12/6 = 2
4/2 = 2
2/1 = 2 so the answer is in third option.
Does anybody want to help with math?
2a(-5a^8b+a^2-12ab)
Ty :D
Answer: 18a4 - 6a3b - 5a2b4 - 45a2b2 + 36ab2 - 12ab + 3b
———————————————————————————————-
3
Step-by-step explanation:
Suppose a normal distribution has a mean of 26 and a standard deviation of 4. What is the probability that a data value is between 28 and 35? Round your answer to the nearest tenth of a percent.
A. 29.6%
B. 23.6%
C. 27.6%
D. 25.6%
Using the normal distribution, it is found that the probability that a data value is between 28 and 35 is given by:
A. 29.6%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given by:
[tex]\mu = 26, \sigma = 4[/tex].
As a proportion, the probability that a data value is between 28 and 35 is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 28, hence:
X = 35:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 26}{4}[/tex]
Z = 2.25
Z = 2.25 has a p-value of 0.988.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 26}{4}[/tex]
Z = 0.5
Z = 0.5 has a p-value of 0.692.
0.988 - 0.692 = 0.296 = 29.6%, which means that option A is correct.
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María y Sara se preparan para una competencia de atletismo. María recorre tres octavas partes de la distancia total de la competencia y Sara las dos quintas partes.
¿Qué fracción representa el total de la distancia recorrida por las dos atletas?
A.
140
B.
640
C.
2440
D.
3140
Answer:
D. 31/40
Step-by-step explanation:
3/8 + 2/5 =
15/40 + 16/40 =
31/40
How many right angles are on this shape?
Explanation:
The term "right angle" is another way of saying "90 degree angle".
Such angles are marked as squares. Usually there are tiny square symbols inside the angle to be very clear that we have 90 degree angles. Some diagrams may not do this, and simply imply that anything that looks like a square 90 degree angle actually is one.
With this in mind, the angles that fit the description are angles J and M at the bottom of the figure. Therefore, there are 2 right angles in this shape.
Side note: This figure is a trapezoid because it has exactly one set of parallel sides KJ and LM.
The description for a certain brand of house paint claims a coverage of 410 ft2/gal. How many liters of paint are required to apply a single coat of paint to the (4) walls of a 7.7 m by 14.8 m room with a height of 2.4 m
Answer:
10.7 liters of paint requiredStep-by-step explanation:
Dimensions of the room
7.7 m by 14.8 m with the height of 2.4 mFind the surface area of the 4 walls
A = Ph = 2(l + w)h = 2(7.7 + 14.8)*2.4 = 108 m²Convert the area to ft²
108 m² = 108*10.7639 ft² = 1162.5012 ft²Find the amount of paint required
1162.5012/410 = 2.84 gal (rounded)Covert the volume to liters
2.84 gal = 2.84*3.76 l = 10.7 l (rounded)What is the domain of the function shown in the graph?
Answer:
the answer is b you have it right
Step-by-step explanation:
your welcome
Expand to write an equivalent expression
-1/4 (-8x + 12y)
The equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y
Expansion of expressionExpansion of expression can be carried out using the distributive rule a shown:
A(B + C) = AB + AC
Note that A is distributed over B and C
Given the expression
-1/4 (-8x + 12y)
-1/4(-8x) - 1/4(12y)
2x - 3y
Hence the equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y
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The roof of braeden's house is shaped like a parallelogram. The base of the roof is 12m and the area is 114 cm square. Choose a number and unit to make this statement true.
Evaluate
-
b
2a
when a = 4 and b = -3.
Answer:
=24
Step-by-step explanation:
Correct Q:
-b•2a
Ans:
Put the values.=+3*2•4
=24
jorge makes fruit snacks for his friends. He uses 1 1/2 apples to make 3 fruit snacks.
How many apples does jorge need to make 1 fruit snack
Answer:
Jorge needs 1/2 apple to make the snack.
NEED HELP ASAP 100 POINTS AND BRAINLIEST FOR THE CORRECT ANSWER!!!
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
g(x)=3x+2
f(x)=|x-4|+2
As it's already graphed their inetresection point is solution for both functions
Red one is g(x) as it's linearOther one is f(x) as it's modulusThe solution is (1,5)
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations would be where the lines of the two intersect. The point of intersection (based on the graph) is :
(1, 5)V-125 - 5 X 32
[tex]3 \sqrt{ - 125} - 5 \times {3}^{2} [/tex]
Simplify the following and show all your workings
Answer:
Because of the order of operations, we start the equation backwards because exponents are what we prioritize here.
[tex]3^2 = 9\\\\9 * 5 = 45\\\\\sqrt{-125} = -11.1803399\\\\45 - -11.1803399 = 56.1803399\\\\56.1803399 * 3 = \boxed{168.54}[/tex] Result rounded to 2 DP
Nine balls, each marked with a number from 1 to 9, are placed in a bag and one ball is taken at random. What is the probability that the number on the ball is multiple of 2?
A.1/9
B.2/9
C.4/9
D.1
Total balls=sample space=9
Multiples of 2
{2,4,6,8}Total multiples=4
Probability
4/9Option C
Hello, the answer should be [tex]\frac{4}{9}[/tex], C option.
First, let's define the numbers that are a multiple of 2 from the balls we have.
2468Then, we will calculate our probability. To do this correctly, we must divide the amount of expected states into the amount of all the states.
Expected numbers: 2-4-6-8
All numbers: 1-2-3-4-5-6-7-8-9
[tex]P=\frac{{2,4,6,8}}{1,2,3,4,5,6,7,8,9} =\frac{4}{9}[/tex]
Good luck! If you have any questions, then feel free to ask in comments!
Please answer ASAP! I will give you brain L. #8
Answer:
AC = [tex]3\sqrt{3}[/tex]
BC = [tex]6\sqrt{3}[/tex]
Step-by-step explanation:
AC is [tex]x\sqrt{3}[/tex] and x = 3 so [tex]3\sqrt{3}[/tex] and it [tex]=3\sqrt{3}[/tex]
BC is [tex]2x[/tex] and x = 3 so [tex]2(3\sqrt{3}) = 6\sqrt{3}[/tex]
Hopefully this was what you wanted, and is correct!
AABC and AXYZ are similar. Find the missing side length.
Y
21
AA
3
6
4
Z
C X
28
(The triangles are not drawn to scale.)
Answer:
42
Step-by-step explanation:
it is stated that the triangle are similar so their side lengths must be proportional, we can use this to find the missing side length
AB/XY = BC/YZ write this with the side lengths
3/21 = 6/? cross multiply expressions
3? = 126 divide both sides by 3
? = 42
Vince is cutting fabric strips for a project. He needs fabric strips that are 1212 inches wide. He cut his first fabric strip too wide. His percent error was 5%. How wide did Vince cut the fabric strip?
Answer:
13.125 inches wide
Step-by-step explanation:
5% more than 12.5 which is 12 1/2 as a decimal, equals 13.125 inches.
Multiply your needed fabric width (12.5 or 12 1/2) by (1 + %/percent you're increasing it by) to equal the width you cut instead:
[tex]12.5(1+5) = 12.5(1.05) = 13.125[/tex]
Which expression is equivalent to (3√x^2)^6
Step-by-step explanation:
[tex] = {(3 \sqrt{ {x}^{2} } )}^{6} [/tex]
[tex] = {(3 {x}^{ \frac{2}{2} } )}^{6} [/tex]
[tex] = {(3x)}^{6} [/tex]
[tex] = {3}^{6} {x}^{6} [/tex]
[tex] = 729 {x}^{6} [/tex]
====================================
[tex]\large \sf \underline{Problem:}[/tex]
Which expression is equivalent to (3√x^2)^6
====================================
[tex]\large \sf \underline{Answer:}[/tex]
The answer is x⁴
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
[tex]( \sqrt[3] {x}^{2} )⁶ \: {The \: cube \: root \: of \: x² \: is \: x^(2/3)} (x^(2/3))⁶ {Now, \: simply \: multiply \: 2/3 \: by \: 6 \: to \: get \: 4.}[/tex]
x⁴
[tex]( \sqrt[3] {x}^{2} )⁶ \: is \: equivalent \: to \: x⁴[/tex]
====================================
According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseline 10 x squared 2 f (x) = 5 x superscript 5 baseline 3 x superscript 4 baseline 12 x cubed 7 x squared minus 2 x 15 f (x) = 6 x superscript 5 baseline x cubed minus 4 x squared x minus 5 f (x) = 7 x superscript 6 baseline 3 x cubed 12
The polynomial with 6 roots is the one of degree 6, so the correct option is:
[tex]f(x) = 7x^6 + 3x^2 + 12[/tex]
Which polynomial function has 6 roots?
You need to remember that if p(x) is a polynomial of degree N, then it has N roots (such that some of these N roots may be equal or not).
Then we just need to find the polynomial of degree 6. (Remember that the degree represents the maximum exponent of the polynomial).
In this case, the only one of degree 6 is:
[tex]f(x) = 7x^6 + 3x^2 + 12[/tex]
Which is the last option.
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Answer:
The answer is D
Step-by-step explanation:
I took the test
Solve the system with
elimination.
x - y = 10
3x - 2y = 25
Answer:
Step-by-step explanation:
{x,y}={5,-5}
What is the area of this figure? PLS ANSWER
Answer:
42 units ^2
Step-by-step explanation:
Break in to a top triangle a middle rectangle and a bottom triangle
area = 1/2 7 *2 + 4 * 7 1/2 * 2 * 7 = 42 units ^2
Draw polygon abcdef in this coordinate plane, given its vertices a=(-2,-3), b=(0,-3), c=(0,1), d=(3,1), e=(3,3), f=(-2,3)
The polygon abcdef in the coordinate plane shown with area of 18 square units.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have vertices for the polygon:
a=(-2,-3), b=(0,-3), c=(0,1), d=(3,1), e=(3,3), f=(-2,3)
After marking the coordinates on the coordinate plane and connecting the lines, we will get a polygon.
We can find the area of the shape:
Area of the shape = 18 square units
Thus, the polygon abcdef in the coordinate plane shown with area of 18 square units.
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Which expression can you use that is equivalent to 5x - 2 ( 15 - x )
Answer:
7x - 30
Step-by-step explanation:
5x -2(15-x)
Distribute -2 to the parenthesis
= 5x -30 +2x
Combine like terms
7x-30
A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3. 14 for Pi. A cylinder has a height of 12 centimeters and diameter of 8 centimeters. 192. 00 cubic centimeters 301. 44 cubic centimeters 602. 88 cubic centimeters 2,411. 52 cubic centimeters.
Answer:
The volume of the soup can is 602. 88 cubic centimeters
Step-by-step explanation:
Volume of a cylinder = π {r} ^{2} h
Where π = 3.14
r = diameter ÷ 2
r= 8 ÷ 2
r= 4 cm
h= 12 cm
Volume of the soup can= 3.14 × 4 × 4 × 12
= 602. 88 cubic centimeters
An extension cord 6 yards long costs $8.46. What is the price per foot? There are 3 feet in 1 yard.
Submit
The extension cord is an illustration of unit rates, and the price per foot is $0.47 per foot
How to determine the price per foot?The given parameters are:
Length = 6 yards
Cost = $8.46
Convert the length from yard to feet.
So, we have:
Length = 6 feet * 3
This gives
Length= 18 feet
The price per foot is then calculated using:
Rate = Cost/Length
This gives
Rate = 8.46/18
Evaluate
Rate = 0.47
Hence, the price per foot is $0.47 per foot
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please can someone do this for me? thanks alot x
Answer:
Learning Objective: Use the mean and range to compare the spread and averages.
a) Sarah Mean = 70.9, Katie Mean = 78.9
b) Sarah Range = 15, Katie Range = 25
c) Sentences
- The mean shows, on average, Sarah was 8 seconds quicker than Katie.
- The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.
Step-by-step explanation:
Given:
Sarah's Data Set:
79, 70, 68, 75, 69, 64, 69, 75, 64, 76Katie's Data Set:
79, 79, 76, 81, 89, 76, 64, 85, 82, 78To Find:
The mean and range of both data sets separately.Work:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is [tex]\mu = \frac{{\sum}x}{N}[/tex].
The formula for the mean of a sample is [tex]\bar{x} = \frac{{\sum}x}{n}[/tex].
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: [tex]\frac{709}{10} = 70.9[/tex]
Therefore, the mean of Sarah's data set is 70.9.
For Katie's Data Set, [tex]\frac{789}{10} = 78.9[/tex].
Therefore, the mean of Katie's data set is 78.9.
To fill in the summary, we have to use the data we just calculated.
That summary can be found in the answer section.
Answer:
Sarah's mean = 70.9
Katie's mean = 78.9
Sarah's range = 15
Katie's range = 25
The mean shows that on average Sarah was 8 seconds faster than Katie. The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.
Step-by-step explanation:
Identifying the mean time for Katie and Sarah
The mean ( average ) is equal to the sum of the numbers in the data set ( the sum of the swimming times ) divided by the number of values in the data set ( which is given as 10 )
Mean for Sarah : Sum of her swimming times : 79 + 70 + 68 + 75 + 69 + 64 + 69 + 75 + 64 + 76 = 709
Number of values = 10
So mean = 709 / 10 = 70.9 seconds.
Mean for Katie : Sum of her swimming times : 79 + 79 + 76 + 81 + 89 + 76 + 64 + 85 + 82 + 78 = 789
number of values = 10
so mean = 789 / 10 = 78.9
Using this information we can identify what the first to blanks are. The mean shows that on average Sarah was ___ seconds ____ than Katie.
The mean time for Sarah was 70.9 seconds and the mean time for Katie was 78.9 seconds. So on average Sarah was faster and by 8 seconds ( which can be found by subtracting Sarah's mean from Katie's )
Identifying the range
The range is equal to the largest value ( longest swim time ) subtracted by the smallest value ( or quickest swim time )
Range for Sarah : Sarah's highest swim time is 79 seconds and her lowest is 64 seconds.
So her range = 79 - 64 = 15 seconds
Range for Katie : Katie's highest swim time is 89 seconds and her lowest time is 64 seconds
So her range = 89 - 64 = 25
Using this information we can fill out the remaining blanks.
The range shows that ____ was more consistent with her times. ___ had a larger spread of times which shows she was ____ consistent.
The higher the range the less consistent you are vise versa. Katie had a larger range hence, Sarah was more consistent and Katie was less consistent.
4 of 8
Given that y = 6 cm and 0 = 32", work out I rounded to 1 DP.
x =
Answer:
[tex]x=3.18[/tex] [tex]cm[/tex]
Explanation:
[tex]x=3.18[/tex] [tex]cm[/tex]
Substitute [tex]y=6 cm[/tex] into [tex]\frac{}{AC} =y:\frac{}{AC} =6cm[/tex]
Substitute [tex]0=32[/tex] into ∠[tex]CAB=0:[/tex] ∠[tex]CAB=32^o[/tex]
sinA=leg opposite ∠A/hypotenuse : [tex]sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }[/tex]
Substitute [tex]\frac{}{BC} =x,\frac{}{AC}=6cm,[/tex] ∠[tex]CAB=32^o[/tex]
into sin(∠[tex]CAB[/tex]) [tex]=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}[/tex]
Calculate [tex]sin(32^o)=\frac{x}{6} :x=3.18cm[/tex]
29. Having a large enclosed space has advantages, but it can be more expensive to heat and cool. Assume an air conditioner uses about 4 BTUs/cubic foot each hour (a BTU is a measure of energy). How many BTUs will the air conditioner need to produce each hour to cool the structures? Hint: Multiply the enclosed space by the number of BTUs needed per cubic foot. (3 points)
1: Cylinder
2: Pyramid
3: Dome
The BTU required by the air conditioner/hour to cool the following structures is given as:
Cylinder: 4*π r² h (Where h is height, and r is the radius);Pyramid: 4 (lwh/3) (Where l is the length, w - the width, and h, the height;Dome: 4 * (4/3 πr³)What is the explanation for the above?It is to be noted that the BTU required to cool per cubic foot of space is 4BTUs.
Since we are not given the dimensions of the structures, the required constant is thus, multiplied by the volume of the structures whose equations have been given above.
Note that:
Volume translates to enclosed space; and
BTU means British Thermal Unit.
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ASAP!!! PLEASE HELP & EXPLAIN.
Answer:
B
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x-axis.
so because the only parts shown on the x axis are 6 and -6 that is the answer!
hope this helps!
The coordinates of the endpoints of the diameter of a circle are (-1, 5) and (3, -1). The center of the circle has coordinates
Answer: (1,2)
Step-by-step explanation:
The center of the circle is the midpoint of the diameter, so using the midpoint formula, we get the answer to be [tex]\left(\frac{-1+3}{2}, \frac{5-1}{2} \right)=\boxed{(1,2)}[/tex]