Answer:
The required equation is:
[tex]y=4x+30[/tex]
So, Option C is correct option.
Step-by-step explanation:
Entry fee for fair = $30
Cost of one ride = $4
Cost of x rides = $4x
If y represents the total cost the equation will be sum, of entree fee and cost of x rides i.e
[tex]y=4x+30[/tex]
The required equation is:
[tex]y=4x+30[/tex]
So, Option C is correct option.
A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 180 rpm.
Answer:
19.28 mphStep-by-step explanation:
"The question is not complete, here is the complete question
A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 180 rpm.
Find the linear speed of the bicycle in in/min (correct to at least two decimal places)
How fast is the bike moving in mph (to two decimal places)?"
Step one:
given data
the diameter of wheels= 18 inches
radius of front sprocket=6 inches
radius of rear sprocket= 3 inches
The cyclist pedals at 180 rpm
The chains move at the same speed, hence
the rear sprocket must make 6/3 revolutions for every one revolution made by the front sprocket
when the rider moves the front sprocket through 180 revs/min
the rear sprocket moves through 180 (6/3) = 360 revs/min
the linear speed of the bicycle in inches per minute =
2π * 9 * 360 = about 20360.16 in/min
The speed in mph
=2π * 9 * 360 * 60 minutes in 1 hr /63360 in/ mile
=19.28 mph
find gcd of (510,92)
Answer:
The GCD of 510 and 92 is 2
Step-by-step explanation:
510 : 2 = 255
510 : 3 = 170
510 : 4 = 127.5
92 : 2 = 46
92 : 3 = 30.6667
92 : 4 = 23
hope this helps!
How many calendars did the Mayans have
Answer:
three ( Long Count, Tzolkin, Haab )
Step-by-step explanation:
HELP FAST ITS AN IMAGE
Answer:
3
Step-by-step explanation:
The function g(x) is graphed.
Which statements about the function are true? Choose
three options
9(1)=-1
3 2
090=0
9(4) = -2
(1) = 1
O 01-1=1 /
Answer:
I got A, B, D
Step-by-step explanation:
HELPPPPP PLEASEEEEEEEEE
Please help I will give Brainliest!!
Part A: Using x and y, write two different expressions that represent the perimeter of rectangle #1.
please do part B as well
Part B: Which two rectangles have equal area? Justify your answer using properties of operations.
Answer:
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. To find the area of a rectangle, multiply the length by the width.
A rectangle with four sides of equal length is a square.
Following image represents the area of a rectangle.
A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The perimeter can be used to calculate the length of fence required to surround a yard or garden. Following image represents the perimeter of a rectangle.
Step-by-step explanation:
Sorry if this is wrong.
I have no idea if this is right but i tried.
Sorry im dumb.
If its right Yw.
:)
Answer:
Part A: 2(4x)+2(y)+2(2) and 2(4x+y+2)
Part B: #2 and #4
Step-by-step explanation:
Part B:
- #2: 4 x 3 is 12 and 4 x 6 is 24
- #3: 2 x 6 is 12 and 6 x 4 is 24
Bothe are the same.
In what layer are convection currents found?
Continental crust
Inner core
Asthenosphere
Oceanic crust
Answer:
c
Step-by-step explanation:
Jo estimates that a piece of ribbon
measures 8.5 inches. If it actually
measures 7.8 inches, what is the
percent error of Jo’s estimate
Answer:
9
Step-by-step explanation:
In a survey of 600 students, 80% said they liked pop music. How many students liked pop music?
For percents
Answer:
480 students
Step-by-step explanation:
600 x .80
Aaron has $0.70 worth of nickels and dimes. He has a total of 8 nickels and dimes altogether. By following the steps below, determine the number of nickels, x,x, and the number of dimes, y,y, that Aaron has.
Answer:
There are 2 nickels and 6 dimes.
Step-by-step explanation:
Nickels: x
Dimes: y
Constraints:
0.05x + 0.10y = 0.70
x + y = 8 ===> -0.05 * (x + y = 8) ===> -0.05x - 0.05y = -0.4
Add the two equations to eliminate x variable:
0.05x + 0.10y = 0.70
-0.05x - 0.05y = -0.4
_________________
0.05y = 0.3 ===> y = 6
Substitution to find x:
x + y = 8
x + 6 = 8
x = 2
There are 2 nickels and 6 dimes.
There are 2 nickels and 6 dimes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Aaron has $0.70 worth of nickels and dimes.
total of 8 nickels and dimes altogether
We need to find the number of nickels and number of Dimes
Let Nickels be x and Dimes be y
By given conditions
0.05x + 0.10y = 0.70
x + y = 8-0.05x - 0.05y = -0.4
Add the two equations to eliminate x variable:
0.05x + 0.10y -0.05x - 0.05y = 0.70 -0.4
0.05y = 0.3
Divide both sides by 0.05
y = 6
Substitution to find x:
x + y = 8
x + 6 = 8
x = 2
Hence, there are 2 nickels and 6 dimes.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
On average, Tony the turtle completes a 15-foot course in 1 minute, and Antonio the turtle completes an 18-foot course in 1 minute. If Tony and Antonio both start at the same time and travel in the same direction, how far apart will the turtles be after 5 minutes?(1 point)
75 feet
15 feet
90 feet
165 feet
Answer:
15 feet.
Step-by-step explanation:
Tony's speed = 15 ft/min.
Antonio's = 18 feet /min.
So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.
So the answer is 90-75 = 15 feet.
the is factoring quadratics with a leading coefficient: 5x to the 2 power - 14x + 8
Answer:
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
Step-by-step explanation:
Given quadratic polynomial is:
[tex]5x^2-14x+8[/tex]
To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x
We get 40 by multiplying 8 and 5
And the pair we get are: 10 and 4
[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]
Hence,
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
Write an equation in slope-intercept form for the line that passes through (5, 4) and (6, -1).
A shelf is 24 inches wide. How many books, each StartFraction 7 Over 8 EndFraction of an inch thick, can fit on the shelf?
Which equation can be used to solve the above problem?
24 divided by StartFraction 7 Over 8 EndFraction
StartFraction 7 Over 8 EndFraction divided by 24 = b
b divided by 24 = StartFraction 7 Over 8 EndFraction
b divided by StartFraction 7 Over 8 EndFraction = 24
Answer:
it is a
Step-by-step explanation:
Gerald drives his car 48 miles each day for 32 days. How many miles does he drive in total?
Answer:
1536
Step-by-step explanation:
If he drives 48 miles everyday for 32 days, to get his total you multiply to by 32
Answer:
in I day he drives 48 miles
so how many for 32 days
32×481536miles-14n+q = rt-4n
solve for n
Answer:
Step-by-step explanation:
Simplifying
-14 + 1 = rt + -4n
Combine like terms: -14 + 1 = -13
-13 = rt + -4n
Reorder the terms:
-13 = -4n + rt
Solving
-13 = -4n + rt
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4n' to each side of the equation.
-13 + 4n = -4n + 4n + rt
Combine like terms: -4n + 4n = 0
-13 + 4n = 0 + rt
-13 + 4n = rt
Add '13' to each side of the equation.
-13 + 13 + 4n = 13 + rt
Combine like terms: -13 + 13 = 0
0 + 4n = 13 + rt
4n = 13 + rt
Divide each side by '4'.
n = 3.25 + 0.25rt
Simplifying
n = 3.25 + 0.25rt
Answer:
n = [tex]\frac{rt-q}{-10}[/tex]
Step-by-step explanation:
your equation is -14n+q = rt-4n
subtract q from both sides: -14n = rt - 4n - q
add 4n to both sides: -10n = rt - q
divide both sides by -10: n = [tex]\frac{rt-q}{-10}[/tex]
A pizza restaurant has a monthly budget of (x) dollars.
Every month $3050 is spent on salaries, one-third of
the remaining budget is spent on ingredients for pizza's.
Which function can be used to find the amount in
dollars spent on ingredients?
Let A = (1,2,3,4) and B= (0,1) use the set roster notation,to work each of the following sets and indicate the number of elements that are in each set?
a.A x B
b. bx A
c.A x A
d.B x B
Step-by-step explanation:
A={1,2,3,4}
B={0,1}
now,
a. A×B={1,2,3,4}×{0,1}
={(1,0)(1,1)(2,0)(2,1)(3,0)(3,1)(4,0)(4,1)}
b. B×A={(0,1)(0,2)(0,3)(0,4)(1,1)(1,2)(1,3)(1,4)}
c. A×A={(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)(4,1)(4,2)(4,3)(4,4)}
d. B×B={(0,0)(0,1)(1,0)(1,1)}
hope it help u..
A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is 2584 square inches, find the width of the frame
Answer:
The width of the is 4 inches
Step-by-step explanation:
Assume that the width of the frame is x
∵ The width of the fame is x inches
→ That means each dimension will increase by 2x ⇒ x from each side
∵ The portrait has dimensions of 30“ x 60“
∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)
∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)
→ Multiply the brackets
∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)
∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²
→ Add the like terms
∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²
∴ The total area of the portrait plus frame = 4x² + 180x + 1800
∵ The total area of the portrait plus frame = 2584 square inches
→ Equate the two right sides of the area
∴ 4x² + 180x + 1800 = 2584
→ Subtract 2584 from both sides
∴ 4x² + 180x + 1800 - 2584 = 0
→ Add the like terms in the left side
∴ 4x² + 180x - 784 = 0
→ Divide all terms by 4 to simplify
∴ x² + 45x - 196 = 0
→ Factorize it to find the value of x
∵ x² + 45x - 196 = (x - 4)(x + 49)
→ Equate the right side by 0
∴ (x - 4)(x + 49) = 0
→ Equate each factor by 0
∵ x - 4 = 0
→ Add 4 to both sides to find x
∴ x = 4
∵ x + 49 = 0
→ Subtract 49 from both sides to find x
∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)
∴ The width of the is 4 inches
To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should Sarah use? Explain.
Answer:
40 Apple juice and 20 Orange juice
Step-by-step explanation:
From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.
*OJ = Orange juice and AJ = Apple juice
PLEASE HELP ASAP!!!
Triangle Similarity Day 4- Overlapping triangles
Solve for x. Remember to draw two triangles and set up the proportion.
Answer:
x = 16
Step-by-step explanation:
The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.
Thus, ∆ABC ~ ∆EFG. Therefore:
[tex] \frac{AB}{EF} = \frac{AC}{EG} [/tex]
AB = 12 + 3 = 15
EF = 12
AC = x + 4
EG = x
Plug in the values into the equation
[tex] \frac{15}{12} = \frac{x + 4}{x} [/tex]
Cross multiply
[tex] (15)(x) = (x + 4)(12) [/tex]
[tex] 15x = 12x + 48 [/tex]
Subtract 12x from each side
[tex] 15x - 12x = 48 [/tex]
[tex] 3x = 48 [/tex]
[tex] x = \frac{48}{3} [/tex]
[tex] x = 16 [/tex]
Simplify: -3x2 + 5x -22 + 4x2 - 9x
a. -7x² + 14x - 22
b. x2 - 4x - 22
c. -X2 + 14x - 22
d. 7x2 + 4x - 22
Answer:
B
Step-by-step explanation:
wot iz 1+1 :D rEEeEeEEeEEeEe
Answer:
It's JOHN CENA!
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
the process in which one plus one is 2 is to combine the both very complex numbers which equal only one digit so when you combine two one digits you get two
A nurse must give a patient 50mg of a drug for each kilogram of the patients mass if patient weighs 198 lb how many milligrams of the drug should be given
Answer:
4,500 mg
Step-by-step explanation:
198x1x50=9900
1x2.2x1=2.2
9900/2.2=4,500
The unit of pencil is what?
Answer:
In units of measurement of length we use centimeter (cm) to measure. We can use this unit for measuring the length of a pencil, the width of a book etc. but this unit is too big to measure the thicken of a pencil. So we use another unit called millimeter (mm).
Step-by-step explanation:
PLEASE ANSWER ASAP
Whoever answers FIRST gets BRAINLIEST
Thank you and Happy Thanksgiving
Answer:
1,087.59014, 23.7, 0.6868
Step-by-step explanation:
Any decimal that ends.
Which statement is true
For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a standard deviation of 100. Assume that the SAT scores are normally distributed. What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
b) between 450 and 675?
Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =[tex]\mu = 500[/tex]
Standard deviation = [tex]\sigma = 100[/tex]
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
At x = 450
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
solve 20% of =.________ 100
Answer:
500
Step-by-step explanation:
20%x = 100
x = 100 * 100/20
x = 100 * 5
x = 500
Hope this helped!