r = 30 cm
formula: A = πr²
A = πr²
A = π30²
A = 900π
if π = 3.14, then the answer is 2,826 cm
if π is not defined, the answer is 2,827.43 cm
Alex is going to the carnival with his friends. His mom gave him $45 to spend, If admission to the fair was
$7, and each ride costs $1.50, write an inequality to show how many rides he can ride. What is the
maximum number of rides he can go on?
Solution Set:
Max # of Rides:
Maximum number of rides Alex can go is 23
Solution:
Given that Alex mom gave him $ 45 to spend
Admission to the fair was $ 7, and each ride costs $1.50
From given question,
The amount of money spent on admission to the fair and on a number of rides which each cost $ 1.50, must be at most $ 45
"At most $ 45" means $ 45 exactly or less
Let "x" be the number of rides Alex takes up
[tex]7 + 1.50 (x) \leq 45[/tex]
[tex]1.50x + 7 \leq 45[/tex]
This is the required inequality
To find the maximum number of possible rides, solve for x
[tex]1.50x + 7 \leq 45\\\\1.50x\leq 45 - 7\\\\1.50x\leq 38\\\\x \leq 25.33[/tex]
Thus maximum number of rides he can go is 23
What conclusion can you make based on the data/results you collect
To draw a conclusion from collected data, examine the hypothesis compared with the results observed. A careful analysis should lead to generalizations backed by evidence. Presenting and summarizing information thoroughly is vital for conclusions and future inquiries.
Explanation:To draw a conclusion based on the data collected, one must first analyze the data carefully. For example, in an experiment assessing the number of deformed frogs in a non-polluted pond, the data should be compared to the initial hypothesis. If the data shows a significant number of deformed frogs in pristine conditions, this could imply other factors contributing to deformities besides pollution.
In language use among students, if the evidence suggests particular trends or patterns, you can make generalizations about these observations. If your findings are different from the initial answer in the 'Collect the Data' section, it might be due to various reasons such as experimental error or an incomplete hypothesis. When presenting your findings, it is critical to incorporate all the collected information which solidifies your conclusion.
Lastly, when summarizing information about a person's experience, it's necessary to incorporate all relevant data before settling on a conclusion. Afterward, forming a question for further research can open new avenues for exploration.
A student is solving a system of equations by substitution and comes up with the solution 3=3. Assuming that he solved the problem correctly, which of the following can be said about this system of equations?
A) The system has exactly 1 solution.
B) The system has exactly 2 solutions.
C) The system has infinitely many solutions.
D) The system has no solution.
HELLP MEEEEE PLZZZZ
Answer:
a
Step-by-step explanation:
The two triangles are similar. Solve for x.
Answer:
Here Two triangles BDE and BAC are similar as mentioned
So, According to Similarity of triangles theorem
BE/BC = DE/AC
4/16= x/20
1/4 = x/20
x= 20/4
x=5
Quaker Oatmeal is a very popular breakfast cereal. If Susan wrapped the entire container without any overlapping paper, what is the minimum amount of paper she will need to wrap the entire container
11cm tall
with a width of 6cm
263.76 cm is the minimum amount of paper she will need to wrap the entire container.
Step-by-step explanation:
As we know that the equation for surface area of a cylinder,
Surface area of cylinder = [tex]2\pi r^{2}+2 \pi r h[/tex]
Where,
r - the radius of the cylinder. Here given diameter (D) as 6. So,
[tex]r=\frac{D}{2}=\frac{6}{2}=3 \mathrm{cm}[/tex]
h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as
[tex]A=2(3.14)(3)^{2}+2(3.14)(3)(11)[/tex]
A = 56.52+ 207.24 = 263.76 cm
A drawing is 12 inches long by 9 inches wide. If the new drawing is 8 inches long, how wide will it be?
I need help !!!!!! Please
Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. [tex]\angle M\cong \angle X[/tex] - Given
2. [tex]\angle N\cong \angle Y[/tex] - Given
3. [tex]\overline{YO}\cong \overline{NZ}[/tex] - Given
4. [tex]\overline{OZ}\cong \overline{OZ}[/tex] - Reflexive property
5. [tex]YO=ZN[/tex] - Definition of congruent segments
6. [tex]YZ=YO+OZ[/tex] - Segment addition postulate
7. [tex]ON=ZN+OZ[/tex] - Segment addition postulate
8. [tex]YZ=ZN+OZ[/tex] - Substitution property
9. [tex]YZ=ON[/tex] - Substitution property
10. [tex]\triangle MNO\cong \triangle XYZ[/tex] - AAS postulate
Answer:
What is your gram?
Step-by-step explanation:
Which statement is correct? The range of the graph is all real numbers less than or equal to 0. The domain of the graph is all real numbers less than or equal to 0. The domain and range of the graph are the same. The range of the graph is all real numbers.
Answer:
Option B on edge 2020 guys
Step-by-step explanation:
:)
write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
Same slopesDifferent y-interceptsThe form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
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Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of the fall. She withdraws $100 a week for living expenses. Write an inequality for the number of weeks Amy can withdraw money, and solve.
A) 1000 - 100w ≤ 500; w ≥ 6
B) 1000 + 100w ≤ 500; w ≤ 5
C) 1000 + 100w ≥ 500; w ≥ 6
D) 1000 - 100w ≥ 500; w ≤ 5
Answer:
D. [tex]1000 - 100w \geq 500; w \leq 5[/tex]
Step-by-step explanation:
Given:
Initial amount in the bank = $1000
Money withdrawn each week = $100
Final amount should be at least $500.
Now, let the number of weeks the money is withdrawn be 'w'.
Therefore,
Money withdrawn in 'w' weeks = [tex]\textrm{Money withdrawn each week}\times w[/tex]
Total Money withdrawn in 'w' weeks = [tex]100w[/tex]
Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,
Final amount = Initial amount - Total withdrawal amount
Final amount = [tex]1000 - 100w[/tex]
Now, final amount must be greater than or equal to $500. So,
[tex]\textrm{Final amount}\geq500\\\\1000-100w\geq500[/tex]
Therefore, the inequality that represents the inequality for the number of weeks Amy can withdraw money is:
[tex]1000-100w\geq500[/tex]
Now, let us solve for 'w'.
Adding -500 and 100w both sides, we get:
[tex]1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5[/tex]
Therefore, the correct option is (D).
Which is the same as 73?
CLEAR CHECK
A 7÷13
B 3÷7
C 17 of 3
D 7 divided by 3
Answer: Neither of them.
Step-by-step explanation: 7 divided by 3 is 2.3. So that's not right.
3 divided by 7 is 0.42. Also incorrect. 17 of 3? What does that mean? 17 percent of 3? I'm not sure but that's not the answer either be cause 17% or 3 is not 73. None of these choices are correct nor do they make sense.
Answer:
D) 7 divided by 3
Step-by-step explanation:
Harris is building a deck around his pool. His contractor charges $525 for labor plus an additional $4.75 per square foot for materials. Formulate a function that can be used to determine the cost, in dollars, for a deck with an area of x square feet.
Answer: 4.75x + 525
Step-by-step explanation:
4.75 times x (the square feet) plus 525
crackers contain 12 calories each and cookies contain 52 calories each. if you eat 5 crackers and 2 cookies how many calories have u consumed in all?
Answer:
You have consumed 164 calories in total
Step-by-step explanation:
12 calories × 5 crackers = 60 calories
52 calories × 2 cookies = 104 calories
104 + 60 = 164 calories in total
what is y=-4/3x+2 in point slope form?
Answer:
[tex]y-2=-\frac{4}{3}(x-0)[/tex]
Step-by-step explanation:
we know that
The equation of the line in point slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]y=-\frac{4}{3}x+2[/tex] ---> equation in slope intercept form
so
Convert to point slope form
subtract 2 both sides
[tex]y-2=-\frac{4}{3}x[/tex]
Rewrite as
[tex]y-2=-\frac{4}{3}(x-0)[/tex]
the slope is [tex]m=-\frac{4}{3}[/tex]
the point is [tex](0,2)[/tex]
How you can identify a Linear A linear non proportional relationship from a table
Answer:
Step-by-step explanation:
Put the equation in the form y = mx + b.
Plot the y-intercept, (0,b).
Use the slope to find another point on the line.
Connect the two points in a straight line.
(i wont ask anymore after this)
How many solutions does each equation have? a) 7(2+5v)=3v+14 b) -3 (3-6b)=6b+5 c) 2 (a-2)=2a-4
Answer:
a) v = 0
b) b = 7 / 6
c) a = any number
Step-by-step explanation:
a) 7(2+5v)=3v+14
7 x 2 + 7 x 5v = 3v + 14 .... distributive
14 + 35v = 3v + 14
35v - 3v = 14 - 14
32v = 0
v = 0 ...... only v value can fit
b) -3 (3-6b)=6b+5
-9 + 18b = 6b + 5
18b - 6b = 5 + 9
12b = 14
b = 14 / 12 = 7 / 6
c) 2 (a-2)=2a-4
2a - 4 = 2a - 4
2a -4 + 4 = 2a -4 + 4
2a = 2a
a = a ........ a cab be any number
3a²b ÷ 2ab what is the result ?
Answer:3/2a
Step-by-step explanation:
Answer:
3 a /2
Step-by-step explanation:
3 a² b ÷ 2 a b
3 a / 2
Use the net to find the surface area of the square pyramid.
A) 95 ft2
B) 130 ft2
C) 205 ft2
D) 333 ft2
Answer: D
Step-by-step explanation:
9x9=81 (base)
(14x9) divided by 2= 63 (one triangular face)
63x4=252 (all triangular faces)
81+252= 333ft2
Answer:
the answer is D, i know i am right.
Step-by-step explanation:
Ben, Tim, and Sam have to do a certain job. Ben can finish the job in 5 hours. Tim can finish the job in 6 hours. Sam can finish the job in x hours. The three of them can finish the job in 2 hours if they work together. Find x.
x is 7.5 hours
Step-by-step explanation:
Ben, Tim, and Sam have to do a certain job
Ben can finish the job in 5 hoursTim can finish the job in 6 hoursSam can finish the job in x hoursThe three of them can finish the job in 2 hours if they work togetherWe need to find x
∵ Ben can finish the job in 5 hours
∴ The rate of Ben = [tex]\frac{1}{5}[/tex]
∵ Tim can finish the job in 6 hours
∴ The rate of Tim = [tex]\frac{1}{6}[/tex]
∵ Sam can finish the job in x hours
∴ The rate of Sam = [tex]\frac{1}{x}[/tex]
They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2
∵ They can finish the job in 2 hours if they work together
∴ [tex]\frac{1}{5}+\frac{1}{6}+\frac{1}{x}=\frac{1}{2}[/tex]
To add the fractions find the LCM for all denominators to make all fractions with same denominators
∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,
- Divide it by each denominator to find the new numerators
∵ 30 x ÷ 5 = 6 x , 30 x ÷ 6 = 5 x , 30 x ÷ x = 30
- Change all the denominators to 30 x and then write the new
numerators of each fraction
∴ [tex]\frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}[/tex]
Add the numerators and put the sum over 30 x
∵ [tex]\frac{11x+30}{30x}=\frac{1}{2}[/tex]
- By using cross multiplication
∴ 2(11 x + 30) = 1(30 x)
- Simplify the both sides
∴ 22 x + 60 = 30 x
- Subtract 22 x from both sides
∴ 60 = 8 x
- Divide both sides by 8
∴ 7.5 = x
∴ The value of x is 7.5 hours
x is 7.5 hours
Learn more:
You can learn more about the word problems in brainly.com/question/10712420
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The function A(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
A(b) = 12.579
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the othef base?
Answer:
[tex]B(a)=\frac{a}{6}-9[/tex]
Step-by-step explanation:
see the attached figure , to better understand the problem
we have
[tex]A(b)=12(\frac{b+9}{2})[/tex]
where
A(b) ---> is the trapezoid's area
b ---> is the other base value
Solve the equation for b
That means ----> isolate the variable b
Divide 12 by 2 right side
[tex]A=6(b+9)[/tex]
Divide by 6 both sides
[tex]\frac{A}{6}=b+9[/tex]
subtract 9 both sides
[tex]\frac{A}{6}-9=b[/tex]
Rewrite
[tex]b=\frac{A}{6}-9[/tex]
Convert to function notation
[tex]B(a)=\frac{a}{6}-9[/tex]
Final answer:
The inverse function for the area of a trapezoid with one base of 9 and height of 12 is B(a) = a/6 - 9, which gives the length of the other base when provided with the area of the trapezoid.
Explanation:
The question revolves around finding the inverse function for the function that represents the area of a trapezoid. Given the area function A(b) = 12.579 for a trapezoid with a height of 12 and one base of length 9, we seek the function B(a) which provides the length of the other base when given the trapezoid's area. To derive this, recall that the area of a trapezoid with bases b and c and height h is given by A = (1/2)(b+c)h. Here, b is 9 and h is 12. Hence, A(b) = (1/2)(9+b)(12) = (9+b)(6).
To find B(a), we express b in terms of A: (9+b)(6) = A → b = A/6 - 9. The inverse function is B(a) = a/6 - 9.
Plz help: You have asked your parents if you can have some money to decorate your bedroom for Christmas. You want to put up a little Christmas tree and some ornaments and some lights. They give you $10. You go to the store and find an incredible deal. You buy a tiny fake tree, some lights and a box of ornaments. You pay with the 10$ your parents gave you and the cashier gives you back three bills of the same denomination and two coins in change. (you receive no dollar coins and no half-dollars). How much did you spend? There are 10 possible answers
1. amount spent:____________ Change given (bills/coins):_________
Answer: ALL THE AMOUNT SPEND ARE 3 1$ bills
1. Amount spent: 6.98
Change: 2- penny
2. Amount Spent: 6.94
Change: Penny Nickel
3. Amount Spent: 6.9
Change: 2 Nickels
4. Amount Spent: 6.89
Change: Penny, Dime
5. Amount Spent: 6.85
Change: Nickel Dime
6. Amount Spent: 6.74
Change: Penny Quarter
7. Amount Spent: 6.50
Change: 2 Quarters
8. Amount Spent: 6.80
Change: Nickel Nickel
9. Amount Spent: 6.70
Change: Quarter Dime
10. Amount Spent: 6.65
Change: Quarter Nickel
Step-by-step explanation:
Pweeeese gimme brainliest answer
To find out how much you spent, subtract the change given from the amount your parents gave you.
Explanation:To find out how much you spent, you need to subtract the change given from the amount your parents gave you. Since the cashier gave you three bills and two coins as change, the total value of the change given is equal to the amount you spent. Since you received no dollar coins and no half-dollars, the change given consists of only bills and coins of smaller denominations. Therefore, the amount you spent is equal to the value of the change given.
At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets.
What is the domain of the relationship?
A.
x ≤ 5
B.
0 ≤ x ≤ 5
C.
0 ≤ x ≤ 18
D.
x ≤ 18
Answer:
Each person buys there own so there are elderly costs.
Step-by-step explanation:
A.
x ≤ 5
B.
0 ≤ x ≤ 5
C.
0 ≤ x ≤ 18
D.
x ≤ 18
Answer:
The answer is option C.
0 <= x <= 18
Step-by-step explanation:
To find the domain of the relationship in respect to x, we need to find the value of x.
Since;
youth tickets = $5 and
Adult tickets = $9.
Purchased x youth tickets and y adult tickets cost $90
Purchased x youth tickets and y adult tickets = 5x + 9y = 90
5x = 90 - 9y
to find x we divide both side by 5
x = (90-9y)/5
x = 90/5 - 9y/5
x = 18 - 9y/5
Note that in this equation x and y can only be positive value because that are representing number of legible item (ticket)
Therefore:
X can only fall between 0 and 18.
0 <= x <= 18
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!
X= ___________
Answer: [tex]x=26[/tex]
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
A pair of non-adjacent angles located outside the parallel lines and on opposite sides of the transversal are called "Alternate Exterior angles".
By definition, they are congruent, which means that they have equal measure.
In this case, you can identify that [tex](5x+7)\°[/tex] and [tex](8x-71)\°[/tex] are Altermate Exterior angles.
Then, you can write the following equation:
[tex]5x+7=8x-71[/tex]
Finally, you must solve for "x" in order to find its value. This is:
[tex]7+71=8x-5x\\\\78=3x\\\\x=26[/tex]
38)
A math teacher wants to make a test containing 50 easy questions and 20 hard questions. Each easy question is allowed 30
seconds and each hard question is allowed 1 minute 30 seconds to complete. How many minutes should the teacher allow for the
whole test?
Answer:
Maximum time the teacher should allow for the whole test should be = 55 minutes
Step-by-step explanation:
Number of easy questions in the test = 50
Number of hard questions in the test = 20
Time for each easy question = 30 seconds = [tex]30\ sec\times\frac{1\ min}{60 sec}=0.5\ min[/tex]
[As 1 minute = 60 seconds]
Time for each hard question = 1 minute 30 seconds = [tex]1\ min+(30\ sec\times\frac{1\ min}{60 sec})=1\ min+0.5\ min=1.5\ min[/tex]
Using unitary method to find duration of whole test.
If 1 easy question takes = 0.5 minutes
Then, 50 easy questions will take = [tex]50\times 0.5\ min[/tex] = 25 minutes
If 1 hard question takes = 1.5 minutes
Then, 20 hard questions will take = [tex]20\times 1.5\ min[/tex] = 30 minutes
Total time for the test will be = [tex]25\ min+30\ min[/tex] = 55 minutes
the coordinates of endpoint D in CD are at D (5,5).if the midpoint of the segment is at M(1,_1)what are the coordinates of point C?
Answer:
The required points of the given line segment are ( - 3, - 7 ).
Step-by-step explanation:
Given that the line segment CD whose midpoint M is ( 1, - 1 ) and point D is ( 5, 5 ), then we have to find point C of the line segment CD-
As we know that-
If a line segment AB is with endpoints ([tex]x_{1}, y_{1}[/tex] ) and ([tex]x_{2}, y_{2}[/tex] then the mid points C are-
C = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex] , [tex]\frac{ y_{1} + y_{2} }{2}[/tex] )
Here,
Let C ( x, y ), D ( 5, 5 ) with midpoint M ( 1, -1 )-
then by the midpoint formula-
( 1, -1 ) = ( [tex]\frac{x+ 5}{2}[/tex] , [tex]\frac{y + 5}{2}[/tex]
On comparing x coordinate and y coordinate -
We get,
( [tex]\frac{x+ 5}{2}[/tex] = 1 , [tex]\frac{y + 5}{2}[/tex] = -1 )
( x + 5 = 2, y + 5 = - 2 )
( x = 2 - 5, y = -2 - 5 )
( x = - 3, y = -7 )
Hence the required points C are (- 3, - 7 ).
We can also verify by putting these points into Midpoint formula.
• Solve using the quadratic formula
2x2 + 11x +15= 0
Answer:
x=-5/2, -3
Step-by-step explanation:
2x^2+11x+15=0
factor out the trinomial
(2x+5)(x+3)=0
zero property,
2x+5=0, x+3=0
2x=0-5=-5, x=-5/2
x=0-3=-3
im confused for what the question is asking me,can someone explain for me please or help me out in answering the question
Answer:
It's asking for simplifying expression with the given value.
Step-by-step explanation:
3x^4 - x + 4; x = 3
3(3)^4 - (3) + 4
3(81) - 3 + 4
243 - 3 + 4
243 + 1
244
Answer:
Step-by-step explanation:
2) 3x⁴ - 25x³ + 27 = 3(2)⁴ - 25(2)³ + 27 = 3*16 - 25*8 +27 = 48 - 200 + 27
= -125
3) 20s⁴ + 24s³ + 4s = 20(1)⁴ + 24(1)³ + 4(1)
= 20 + 24 + 4 = 48
4) 6m⁴ - 4m +20 = 6(4)⁴ - 4(4) +20
= 6*256 - 16 + 20= 1536 - 16 + 20
=1540
5) - 7p⁴ - p + 9 = -7(-2)⁴ - (-2) +9 = -7*16 + 2 +9 = -112 + 2 + 9 = - 101
6) 6a⁷ - a³ + a = 6(-1)⁷ - (-1)³ + (-1) = 6*(-1) - (-1) - 1 = -6 + 1 - 1 = -6
Sam saves 76 tickets every time he goes to the arcade. He needs a total of 4712 tickets to receive a stuffed bear for his girlfriend. So far, he has earned 456 tickets. How many more times will Sam have to go to the arcade to earn the additional points he needs?
Answer:
Sam has to 56 times more to the arcade to earn additional points he need.
Step-by-step explanation:
Given:
Number of tickets already earned = 456
Number of tickets saved each time visit at arcade = 76
Total Number of tickets required to buy Stuffed bear = 4712
We need to find number of times he need to go to arcade to earn the additional points.
Solution:
Let Number of times he need to visit arcade be 'x'.
Now we know;
Number of tickets already earned plus Number of tickets saved each time visit at arcade multiplied by Number of times he need to visit arcade equals to Total Number of tickets required.
Framing in equation form we get;
[tex]456+76x = 4712[/tex]
Now Solving the equation we get;
Subtracting both side by 456 we get;
[tex]456+76x=4712-456\\\\76x= 4256[/tex]
Now Dividing both side by 76 we get;
[tex]\frac{76x}{76} = \frac{4256}{76} \\\\x=56[/tex]
Hence, Sam has to 56 times more to the arcade to earn additional points he need.
Two angle measures in a triangle are 47° and 43°. What type of triangle is it?
acute
obtuse
right
isosceles
Answer:
It is a right angled triangle
Step-by-step explanation:
Since we know that the angles in a triangle always add up to 180°, we take 180°-47°-43° = 90°, a right angle is 90°, thus we know it is a right angled triangle.
Answer:
it is a right triangle
Step-by-step explanation:
Find the value of x.
30
3. 4. 6. 8
Answer:
x=8
Step-by-step explanation:
BE=1/2(CD) (it's a theorem that you can find in Google)
So you get:
3x=24
x=8
The question lacks sufficient information to solve for x. An equation or context for x is needed to determine its value.
Explanation:The question seems to lack sufficient information to provide an accurate solution. When asked to find the value of x, usually an equation or expression involving x is given. This question doesn't provide such an equation or a context for solving for x. It is possible that the information got cut off or may have been miss-transcribed. Please specify the given equation or problem involving x and I will be glad to help.
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