Answer: $95
Step-by-step explanation:
Te new price will be 90 + 5x, if the price increases "x" times
The number of wind chimes sold per month will become 140 - 7x
[tex]\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}[/tex]
Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum
Select the correct answer.
Ron coaches a baseball team. There are three innings left the game, and the team is losing by four runs. Ron is trying to decide whether to
replace the pitcher or keep the pitcher in for another inning. In the past, when losing by four runs, he nas replaced the pitcher total of 14 times
and kept the pitcher in a total of 10 times. The table shows the results of those decisions at the end of nine innings.
Replaced pitcher
Kept pitcher
Won game
8
4
Lost game
5
Tied game
2
Total
14
10
Based on the information in the table, if the goal is to win the game in nine innings, should Ron replace the pitcher or keep the pitcher in?
O A. Ron replacing or not replacing the pitcher has no advantage.
O B, Ron should replace the pitcher with a relief pitcher.
O c. There is not enough information to determine if Ron should replace the pitcher or not.
Using proportions, it is found that the correct option is given by:
B Ron should replace the pitcher with a relief pitcher.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, when Ron replaced the pitcher, the team won 8 out of 14 games, hence the proportion of wins is:
pR = 8/14 = 0.5714.
When Ron kept the pitcher, the team won 4 out of 10 games, hence the proportion of wins is:
pK = 4/10 = 0.4.
Since pR > pK, option B is correct.
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help me with this pleaseee…!
Answer:
All real numbers
Step-by-step explanation:
We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.
We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.
We can double check by seeing that the other options don't work or aren't enough:
[tex]x\geq 2\\and\\x\leq 2\\and\\x\geq -4[/tex]
The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"
Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 7) and (7, 0).
a.
Negative 7
c.
Negative 1
b.
7
d.
1
Calculations ↓
When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.
This is the formula :
[tex]\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}[/tex]
y2 and y1 are y-coordinates, and x2 and x1 are x coordinates
Plug in the values :
[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}[/tex]
Which simplifies to [tex]^7/_7[/tex], or 1
Slope ↓1 (Option D.)
hope helpful ~
what is the midpoint of C(5,3 and D(-3,-6)
Answer:
Step-by-step explanation:
Midpoints of two coordinates is expressed using the formula;
M(X, Y) = (x2+x1/2, y2+y1/2)
Given the coordinates c(5,3) and d(-3,-6)
x1 = 5, y1 = 3, x2 = -3 and y2 = -6
X = x1+x2/2
X = 5+(-3)/3
X = 5-3/2
X = 2/2
X = 1
Also;
Y = y1+y2/2
Y = 3+(-6)/2
Y = 3-6/2
Y = -3/2
Y = -1.5
PLEASE PLEASE PLEASE HELP
Answer:
c. 84.78 mm
Step-by-step explanation:
Circumference of a circle
2πrGiven
radius = 13.5 mmSolving
2 x 3.14 x 13.527 x 3.1484.78 mmTori received a $20 gift card for school supplies. Paper is $5 per pack and notebooks are $3 each. If Tori purchases 1 pack of paper. How many notebooks is Tori able to purchase?
Answer:
5
Step-by-step explanation:
After buying the Paper Tori is left with $15.
Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.
Answer:
5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.
Step-by-step explanation:
An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they should add the new roller coaster, they poll people at the park to see how many rode the current roller coaster.
As people are leaving the park they randomly sample 600 people.
Out of the 600 people, 400 rode the roller coaster at the park.
Construct a 90% confidence interval to represent the proportion of riders who rode the roller coaster at the park. All conditions for inference have been met.
Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The sample size and the estimate are given by:
[tex]n = 600, \pi = \frac{400}{600} = 0.6667[/tex]
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984[/tex]
The 90% confidence interval is given by: (0.6350, 0.6984).
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What is the image of (-8,-12) after a dilation by a scale factor of 1/4 centered at the origin?
Answer: Find the equation with a point and y-intercept.
y = 49/32x + 1/4
image below
Kyle and Josh have 70 cds. Kyle has 8 more cds than Josh. How many cds does each boy have?
Answer: Kyle has 39 and Josh has 31
Step-by-step explanation:
you do 70-8 which equals 62 then divide by 2 which is 31. But Kyle has 8 more so add 31+8 so Josh has 31 and Kyle has 39
Which expression is equivalent to -6x + 7.5?
A. -3(2x-2.5)
B.
-3(2x + 2.5)
C.
-3(2x-7.5)
D. -3(2x + 7.5)
Answer:
[A] -3(2x-2.5)
Step-by-step explanation:
Given:
Which expression is equivalent to -6x + 7.5?
Solution:
Going through all answer choices:
[A] -3(2x-2.5)
Simplify
-6x + 7.5
[B] -3(2x + 2.5)
Simplify
-6x - 7.5
[C] -3(2x-7.5)
Simplify
-6x+22.5
[D] -3(2x + 7.5)
Simplify
-6x - 22.5
Hence, the answer is [A] -3(2x-2.5)
Kavinsky
- 6x + 7.5
If you we split this equation then we'll get -3(2x-2.5).
Because,
- 3 × 2x gives -6x(-3) × - 2.5 gives + 7.5Hope it helpsslide 1) Write an equation in point slope form that passes through the point (1,8) & slope of -3 y-y,=m(x-x₁) 2) Write the equation in slope intercept form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y-8 = -3x+3\implies y=-3x+11[/tex]
Students have been assigned to read a book that is 150 pages. Every student reads at a different speed. If a student read the book in 5 days, on average, how many pages did they read every day? (I just found the answer. 150 ÷ 5 = 30. 30 is the answer)
Answer:
30
Step-by-step explanation:
You just have to do 150 divided by 5 because you are trying to find out how many pages per day that student read.
The student read 30 pages in one day.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Pages in a book = 150 pages
Number of days book completed= 5 days
so, each day the student read
= 150/ 5
= 30 pages
Hence, the average rate is 30 pages in one day.
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WILL GIVE BRAINLIEST TO WHOEVER CAN SOLVE THIS CORRECTLY
Answer:
C ∪ D = (-∞, 2] ∪ (7, ∞)
C ∩ D = Ø (empty)
Step-by-step explanation:
C ∪ D: The union of two sets or intervals is the set of elements which are in either set.
C ∩ D: The intersection of two sets or intervals is the set of elements which are in both sets.
Interval notation symbols
Square brackets [ ]: both endpoints are included in the set.
Round brackets ( ): both endpoints are excluded in the set.
Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.
Square, round [ ): left endpoint is included and right endpoint is excluded in the set.
Given:
C = {x | x ≤ 2} D = {x | x > 7}Therefore,
C = (-∞, 2]D = (7, ∞)Therefore, C ∪ D = (-∞, 2] ∪ (7, ∞)
As x is either equal to or less than 2, or greater than x, there are no elements which are in both sets.
Therefore, C ∩ D = Ø (empty)
A taxi driver drove 30 miles on Monday, 50 miles on Tuesday, 60 miles on Wednesday, 70 miles on Thursday, and 90 miles on Friday. The average number of miles he drove per day was ___
Answer: 60
Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300
Divide by 5
The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units. What is the length of the third side of the triangle in units? A 168 units B 6,656 units C 40 units D 1.625 units
Answer:
40<x<168
Step-by-step explanation:
How are similar triangles related to each other?
Answer:
The corresponding angles are congruent. The corresponding sides all have the same ratio.
Step-by-step explanation:
Congruent means the angles are equal to each other. There are three pairs of angles. "Matching angles" (not a mathematical term) will be the same/equal/congruent.
The sides would only be same/equal/congruent if the triangles were congruent. For similar triangles, you can find a ratio of sides like big/little or little/big and if you set up the ratios of the matching sides, the ratio will be the same for all three pairs of sides. See image for example.
Find the missing exterior angles in triangle
Answer:
working on the two will edit this ans afterwords
There are 27 open spots to compete in the fishing tournament. If each boat can hold 5 people, how many boats are needed to hold all 27 competitors during the tournament?
A yard cleanup service charges a $345 fee plus $16.25 per hour. Another cleanup service charges a $213 fee plus $24.50 per hour. How long is a job for which the two companies' costs are the same?
The time for the job for which the two company are the same is 16
How to form the equation and find the cost?
A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,
using linear equation,
y = mx + c
where
y = total costx = timeTherefore,
y = 345 + 16.25x
Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,
y = 213 + 24.50x
Hence, the time when both cost are the same is as follows;
213 + 24.50x = 345 + 16.25x
213 - 345 = 16.25x - 24.50x
-132 = -8.25x
x = 132 / 8.25
x = 16
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Identify the volume of the composite figure rounded to the nearest tenth.
Answer:
(c) 115.2 ft³
Step-by-step explanation:
The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.
__
CubeThe volume of the cube on the left is given by ...
V = s³
V = (4.2 ft)³ = 74.088 ft³
__
PyramidThe volume of the pyramid on the right is given by ...
V = 1/3Bh . . . . . where B is the area of the square base
V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³
__
TotalThe volume of the composite figure is the sum of these volumes:
cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³
The volume of the composite figure is about 115.2 ft³.
ABCD represents the plan of a field.
There is a path across the field that
starts at a
is the same distance from BA and BC.
Using ruler and compasses, show the position of the path.
A quadrilateral is a polygon with 4 number of sides and 4 vertices. The shape of the field is either square or a rhombus.
What is a quadrilateral?A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
Given that ABCD represents a field, therefore, the field is a quadrilateral. Now, as the path is going between the field. And starts from A therefore, it will end at C.
Since It is the same distance from BA and BC. Therefore, it will be the diagonal of the quadrilateral. And as BA and BC are consecutive sides and are of the same length.
Hence, the shape of the field is either square or a rhombus.
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what adds to make 16 but multiplies to make 63
Answer:
9 and 7
Step-by-step explanation:
[tex]9+7=16[/tex]
[tex]9*7=63[/tex]
8. A computer application generates a sequence of musical notes using the function f(n) 6(16)", where n is the
number of the note in the sequence and f(n) is the note frequency in hertz. Which function will generate the same
note sequence as fon)?
A g(n) = 12(2)
B. H(n) – 6(2) n
C. P(n) = 12(4)2n
Dk(n) = 6(8)an
Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:
B. [tex]H(n) = 6(2)^{4n}[/tex]
What is function for the note sequence?The function for the node sequence is defined by:
[tex]f(n) = 6(16)^n[/tex]
A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:
[tex]H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n[/tex]
Hence option B is correct.
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The stem and leaf plot represents a set of data
Answer:
you can do 97 - 2 which is 95, that's the range
EMERGEBCY I NEED TBIS BRO LIKE IN 5 MINHTES DUDE
Answer:
Below in bold.
Step-by-step explanation:
The defender is at (x) = 35 yards
So height y = (-1/40)35^2 + 35 + 6 = 10.375 ft
So as he only jumps to 9 feet he will not prevent the catch
Solve for the missing angle measure
Answer choices
50
120
70
60
Answer:
70 degrees
Step-by-step explanation:
120 + angle V = 180 V = 60
60 + 50 + ? = 180
? = 70
11
In the equations below, x is the independent variable, and y is the dependent variable
Equation Number
1
2.
Equation
4y = 3x
8y = 5x
= 6x
5y = 8x
3
8y =
4.
Which two equations have the same constant of proportionality?
А 2 and 4
B
2 and 3
с
1 and 3
D
1 and 2
Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:
с 1 and 3
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the functions and constants are given as follows:
1. 4y = 3x -> k = 3/4.2. 8y = 5x -> k = 5/8.3. 8y = 6x -> k = 6/8 = 3/4.4. 5y = 8x -> k = 8.5.Equations 1 and 3 have the same constants, hence option c is correct.
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What is the approximate diameter of a sphere with a volume of 113 cm^3
Answer:
B. 6 cm
Step-by-step explanation:
[tex]\text{Take the volume of a sphere and solve for r.}\\V=\frac{4}{3}\pi r^3\\\text{We already know that the volume is 113, so substitute that value.}\\113=\frac{4}{3}\pi r^3\\\text{Divide both sides by 4/3 pi.}\\\frac{113}{\frac{4}{3}\pi}=r^3\\\text{Divide 113 by 4/3 pi.}\\r^3=26.98\\\text{For a more accessible value, round up.}\\r^3 \approx27\\\text{Take the cube root of both sides.}\\r=3[/tex]
Now that the radius is known, all we have to do is multiply it by 2 to get the diameter. Here the answer is simply 3 * 2, or 6.
Answer:
B. 6 cm
Step-by-step explanation:
You can use the formulas [tex]d=(\frac{6V}{\pi } )^{\frac{1}{3} }[/tex] or [tex]d = \sqrt[3]{\frac{6V}{\pi } }[/tex] to solve for diameter using volume. I will use the first forumla for this problem.
1. Substitute 113 for "V":
[tex]d=(\frac{6(113)}{\pi }) ^{\frac{1}{3} }[/tex]
2. Multiply in the parenthesis:
[tex]d=(\frac{678}{\pi } )^{\frac{1}{3} }[/tex]
3. Divide by pi (3.14):
678 ÷ 3.14 = 215.923567
[tex]d=215.9^{\frac{1}{3} }[/tex]
4. Apply the exponent:
d = 5.99907...
d = 6 cm
hope this helps!
simplify
(1/4 + 5/2) -2
please show step by step
Answer:
3/4
Step-by-step explanation:
1/4+5/2=1/4+10/4=11/4=2 3/4-2=3/4
Solve the equation:
4(x-2)=3x-6
Answer:
The answer is X =2
Step-by-step explanation: