Answer:
Cost for 13 rides: $92
Cost for r rides: I am guessing it would be 40+4r
Step-by-step explanation:
If you automatically pay 40 dollars to get in, then that is the constant, and paying 4 dollars per ride is a coefficient, so that would be multiplied by how many rides you go on, the variable. Once you plug those into the equation above, you would get 92 dollars for the thirteen rides.
Mechanics paper/Math (please helpp!!!)
Alan starts walking from a point O, at a constant speed of 4 m s−1, along a horizontal path. Ben walks along the same path, also starting from O. Ben starts from rest 5 s after Alan and accelerates at 1.2 m s−2 for 5 s. Ben then continues to walk at a constant speed until he is at the same point, P, as Alan.
(i) Find how far Ben has travelled when he has been walking for 5 s and find his speed at this instant. [2]
(ii) Find the distance OP. [3]
Answer:
(i) 15 m, 6 m/s
(ii) 90 m
Step-by-step explanation:
(i) For some acceleration (a) from rest, the distance covered (d) in time t is ...
d = (1/2)at^2
The distance covered by Ben in the 5 seconds he is accelerating is ...
d = (1/2)(1.2 m/s²)(5 s)² = 15 m
Of course, Ben's speed at that point is ...
s = (1.2 m/s²)(5 s) = 6 m/s
__
(ii) When Ben has been walking 5 s, Alan has been walking 10 s, so Alan has covered (10 s)(4 m/s) = 40 m. Their distance difference of 40 -15 = 25 m is being made up at the rate of their speed differences: (6 m/s) -(4 m/s) = 2 m/s.
It will take (25 m)/(2 m/s) = 12.5 s additional time for Ben to catch Alan. In the 22.5 s that Alan has been walking before they meet, he will have walked ...
(22.5 s)(4 m/s) = 90 m . . . the distance OP
3. Carrie and Juanita are saving up to start a slime business. They need at least $125 to cover their start up costs. To earn that money, Carrie decides to do sell cupcakes. She sells cupcakes for $0.50 each. Juanita decides that she would like to sell homemade cards. She will be selling the cards for $2.25 each. Juanita plans to make at least 35 cards. To make up the difference, Carrie plans to sell no less than 3 times the number of cards Juanita makes.
Write a set of constraints to model the problem, with x representing the number of cards created and y representing the number of cupcakes.
Answer:
Constraints:
[tex]0.50y+2.25x\geq 125\\x\geq 35\\y\geq 3x[/tex]
Step-by-step explanation:
Let x represents the number of cards and y represents the number of cupcakes.
Carrie decides to sell cupcakes for $0.50 each.
Total amount earned from selling cupcakes [tex]=0.50y[/tex]
Juanita decides to sell homemade cards for $2.25 each.
Total amount earned from selling cards [tex]=2.25x[/tex]
As Carrie and Juanita need at least $125 to cover their start up costs,
[tex]0.50y+2.25x\geq 125[/tex]
Juanita plans to make at least 35 cards.
[tex]x\geq 35[/tex]
Carrie plans to sell cupcakes no less than 3 times the number of cards Juanita makes.
[tex]y\geq 3x[/tex]
Constraints:
[tex]0.50y+2.25x\geq 125\\x\geq 35\\y\geq 3x[/tex]
What is the best classification for -4?
A natural number, whole number
B integer, rational number
C whole number, integer, natural number
D rational number, whole number
NEED HELP ASAP!!!
-4 is a integer because an integer is a negative number and a natural number, whole number, rational and a irrational number is not a negative number.
for a car driving at a constant rate of 60 miles per hour, the table represents distance from a historical mile marker on the highway as a function of dribing time. which equation could be used to determine the driving time(s) when the car is 150 miles from the historical mile marker?
Answer:
Option (4)
Step-by-step explanation:
If we plot the points given in the table attached,
We can get the graph of an absolute function with the line of symmetry as,
x = 4
Let the equation of the parent function (of the absolute function) is,
y = m|x| [Line of symmetry x = 0]
here m = speed of the car = 60 mph
so the equation will be in the form of y = 60|x|
Since, line of symmetry is x = 4, parent function has been translated by 4 units to the right.
So the equation of the transformed function will be,
y = 60|x - 4|
If the car is at 150 miles, equation to determine the driving time will be,
150 = 60|x - 4|
Option (4) will be the answer.
f(x)=-4x^2-x-3 Find f(1)
Answer:
f(1)=-8
Step-by-step explanation:
Value of a function
Given a function expressed as y=f(x), where x is the independent variable, and y is the dependent variable, we can give x any desired value in the domain of f.
We are given the function
[tex]f(x)=-4x^2-x-3[/tex]
To find f(1), we replace the variable x for the value 1, and we get:
[tex]f(1)=-4(1)^2-(1)-3[/tex]
[tex]f(1)=-4*1-1-3[/tex]
[tex]f(1)=-4-1-3=-8[/tex]
Thus, f(1)=-8
Given that lines a and b are parallel and that m∠2 = 68°, find m∠5
Answer: 112 degrees
Step-by-step explanation: In this problem, we are trying to find the m<5.
Notice that <2 and <3 are vertical angles which means they are congruent.
So we know that the m<3 is 68 degrees.
Now, notice that <3 and <5 are same side interior angles because
they lie on the same side of the transversal and on interior of lines a and b.
Now, it's important to understand that
same side interior angles are supplementary.
So we can setup the equation 68 + m<5 = 180.
Subtracting 68 from both sides, we have the m<5 = 112.
So the m<5 is 112 degrees.
A school band performs a spring concert for a crowd of 600 people The revenue for the concert is $3150. There are 150 more adults at the concert than students. Students- $3 Adults- $7 Children under 12- $2
How many of each type ticket are sold?
Answer:
Number of adults = 350
Number of students = 200
Number of Children under 12 = 50
Step-by-step explanation:
Let
Number of adults = x
Number of students = y
Number of Children under 12 = z
Cost of each ticket
Students = $3
Adults = $7
Children under 12 = $2
Total crowd at the concert = 600
Total revenue = $3,150
There are 150 more adults at the concert than students.
That is, adults = y + 150
The equations
x + y + z = 600
7x + 3y + 2z = 3,150
Recall,
x = y + 150
y + 150 + y + z = 600
7(y + 150) + 3y + 2z = 3,150
2y + z + 150 = 600
7y + 1050 + 3y + 2z = 3,150
2y + z = 600 - 150
10y + 2z = 3150 - 1050
2y + z = 450 (1)
10y + 2z = 2,100 (2)
Multiply (1) by 2
4y + 2z = 900 (3)
10y + 2z = 2,100 (2)
Subtract (3) from (2)
10y - 4y = 2100 - 900
6y = 1200
Divide both sides by 6
y = 1200/6
= 200
Substitute the value of y into (1)
2y + z = 450
2(200) + z = 450
400 + z = 450
z = 450 - 400
= 50
z = 50
Substitute value of y into
x = y + 150
x = 200 + 150
= 350
x = 350
Therefore,
Number of adults = 350
Number of students = 200
Number of Children under 12 = 50
What is 808 + 8? Enter the answer in the box.
Answer:
816
Step-by-step explanation:
Which value of h makes
8+h/10=1 a true statement?
Answer: 2
Step-by-step explanation:
Anything divided by itself equals one. So, 8 + 2 = 10 and 10/10 = 1
Answer:
h = -70
Step-by-step explanation:
8+h/10=1
Subtract 8 from each side
8-8+h/10=1-8
h/10 = -7
Multiply each side by 10
h/10 * 10 = -7 * 10
h = -70
Consider the element in the periodic table as we move to the far right Greg column on the far right is made up of
Answer:
As we move to the far right, the purple column is made up of gases that are. The purple column represents noble gases.
Step-by-step explanation:
Answer:Elements on the right side of the periodic table are NONMETALS. The staggered stair step on the periodic table divides the metals from the nonmetals. Metalloids are located on the stair step.
are the two lines 3x - 4=-7 and x + 3y=6 parallel?
Answer:
No because the slopes arent the same (I’m guess it was -4y and not -4)
Step-by-step explanation:
What is the difference between 15.24 and 0.73497
Answer:
14.50503
Step-by-step explanation:
All you need to do is subtract them. 15.24-0.73497 is 14.50503
a = , b = , c =
HELP ASAP!WILL MARK BRAINLIEST AND WORTH 23 POINTS!
Answer:
a = 2
b = 3
c = 2³ or 8
Step-by-step explanation:
Exponent Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]
log₂(4) = 2 or 2² = 4
2⁵/2² = 2³
2³ = 8
Answer:
a=2
b=3
c=8
Step-by-step explanation:
a=2, 2^a must equal 4
b=3, 2^b must equal 8 which is answer to 2⁵/4
c=8, the answer to 2⁵/4, and
what would 6 times the sum of 4 and y be?
Answer:
6(4+y)
Step-by-step explanation:
sum is adding and times is multiply
Answer:
6 times the sum of 4 and y" would be: 6(4+y) = 24 + 6y.Step-by-step explanation:
What can you use to show the similarities and differences between what two authors have written on the same topic?
(1 point)
a pie chart
a Venn diagram
a bar graph
a timeline
Answer:
Venn diagram!
Step-by-step explanation:
Its a type of chart you would use to separate the differences on the left and right, and include similarities in the middle!
can someone please help me with this question
Answer:
a
Step-by-step explanation:
8 (7 - 3x) + x - 55 simplify for branliest answer
what number is 25% of 20?
Answer:
5
Step-by-step explanation:
For this problem, we can solve this by simply converting percentages into fractions. Consider that 25% is 1/4 of 100% of 1. Therefore, we can say 25% is equivalent to 1/4.
With this statement, we can say the following:
25% of 20
= (1/4) of 20
= (1/4) * 20
= 20 / 4
= 5
So 25% of 20 is 5. Using this property of fractional equivalence, percentages can also be stated in reverse.
For example, 25% of 20 is equivalent to 20% of 25.
Since we know 25% of 20 is 5, let's use the same fractional equivalence to find the value of 20% of 25:
20% of 25
= (1/5) of 25
= (1/5) * 25
= 25 / 5
= 5
Thus, we have shown that 25% of 20 and 20% of 25 are equivalent. This applies to all percentages of some number.
Hope this helps.
Cheers.
Slope of Y(-2,-1) and E (4,31)
Answer:
16/3 or 5.33333
Step-by-step explanation:
You will do [tex]\frac{y-y}{x-x}[/tex] make sure it is y2 - y1 and x2 - x1. So lets plug in your numbers. 31 + 1/ 4 +2 = 32/6 = 16/3 simplified. I turned it to + because two - - equals a +.
Can someone help me, please and thank you? I'll give BRAINLEST to the person who gets it right!!! Please have explained how to get the answer I figured some out tho I just want to make sure I'm correct!
Answer:
look at one the letter equals to 0
Step-by-step explanation:
The graph of quadratic function f is shown on the grid.
(-6,4)
(-2,-4)
(-3,-5)
what is the y intercept of the graph of f?
Answer:4
Step-by-step explanation: look at the image attached
Barb loves ice cream candy bars and wants to share 7/8 of them with her friends. If she gives one to each of her 21 friends, how many candy bars will she need before starting to share?
Answer:
24
Step-by-step explanation:
21 times 8 is 168, and 168 divided by 7 is 24, therefore she would need 24 to give among 21 friends if she still wanted to have 1/8 left over.
Suzie went to a candy shop. The candy shop has a sign that shows the cost of the candies at the shop. The sign is below:
Suzie bought 2 Snickers, 3 Skittles, and 5 Reese's Pieces. If she paid $20 to the shop, how much change would she get back?
Candy Cost per candy (in dollars)
Snickers 0.75
Skittles 1.00
Reese's Pieces 1.40
Answer:
$8.50
Step-by-step explanation:
Multiply the cost by the amount of candy she bought, your equation will look like this:
2(0.75) + 3(1) + 5(1.40)
Multiplying everything makes the equation into:
1.5 + 3 + 7
Adding everything makes the total cost 11.50.
Subtract 11.50 from 20, and the answer is 8.50
Match each mathematical description with its algebraic expression.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
- a
2x + 1r
2x - 11
2x + 11
✓x2 - 11
Pairs
the absolute value of twice a number increased by 11
the square root of the difference of the square of a number and 11
the quotient of two times a number and -11
the sum of the square root of two times a number and 11
The mathematical descriptions are matched to correct algebraic expressions as below.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The absolute value of twice a number increased by 11.
Let the number be x.
Twice the number is 2x and then increased to 11 means 2x + 11.
Absolute value of this is |2x + 11|.
The square root of the difference of the square of a number and 11.
Square of a number means x².
Difference of the square of a number and 11 means x² -11.
Square root of this is [tex]\sqrt{x^2-11}[/tex].
The quotient of two times a number and -11.
Quotient means the operation is division.
Two times a number means 2x.
The quotient of this and 11 is - 2x/11.
The sum of the square root of two times a number and 11.
Square root of two times a number is [tex]\sqrt{2x}[/tex]
Sum of this and 11 is [tex]\sqrt{2x}[/tex] + 11.
Hence the mathematical descriptions are matched to corresponding expressions.
Learn more about Algebraic Expressions here :
https://brainly.com/question/953809
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plz answer this
1.580 ml: 1.12 liter: 104ml
Answer:
??
Step-by-step explanation:
HELP A GIRL OUT QUICK!
Answer: its A
Step-by-step explanation:
Suppose the population of a town was 10,000 in 1980 and 15,000 in 2010. Describe
the absolute and relative (percent) change.
Answer:
(15000/10000)*100 = 150%
Step-by-step explanation:
Percent Change:
(new Value/old value)*100
Answer:
(10,000-15000)*100=150%
Step-by-step explanation:
percent change:
(new value/old value)
can you please tel, me what is step 3
3) Simplify.
4/v-5 - 5/v+3
Answer:
The answer to your question is −2v+1v
5√28+ √63
please simplify no exponents please
Answer:
34.3948
Step-by-step explanation:
[tex]5\sqrt{28} +\sqrt{63} = 13\sqrt{7} = 34.3948[/tex]
Answer: 34.394767
Step-by-step explanation: 5 Times Square root of 28 is 26.4575131106
26.4575131106 plus 7.93725393319 is 34.394767
