The ideal height (in centimeters) of a mountain bike frame is about 10 centimeters less than two thirds of the bike riders leg length (in centimeters). Two riders leg length are 80 centimeters and 85 centimeters. To the nearest tenth of a centimeter, how much taller should the taller mountain bike frame be?
The taller mountain bike frame should be 3.4cm taller.
What should be the difference in the frames?The equation that can be used to determine the ideal height of the mountain bike frame is:
Mountain bike frame : (2/3 x length of the bike rider's leg) - 10
Mountain bike frame when leg length is 80cm: (2/3 x 80) - 10 =53.3 - 10 = 43.3 cm
Mountain bike frame when leg length is 85cm: (2/3 x 85) - 10 = 56.7 - 10 = 46.7cm
Difference in mountain bike frame :46.7 cm - 43.3 cm = 3.4cm
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
#SPJ1
Find the measure of ∠b ?
Answer:
Below
Step-by-step explanation:
b = 180 - 81° (because of the Z angle law)
b = 99°
Answer:
Step-by-step explanation:
by inspection it is given that b and 81° are inside the parallel angles...they are sorted such that now we know they are co-inter.. anglesb+81°=180 since co-inter... angles are supplementaryb=180°-81°∴b=99°Answer the one you no please
Answer:
bro this is so easy it's letter d
factorize 5y^2- 125z^2
Answer:
[tex]5\left(y+5z\right)\left(y-5z\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{The \;given \;equation \;is \; 5y^2-125z^2}[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}5:\quad 5\left(y^2-25z^2\right)\\\\= 5\left(y^2-25z^2\right)[/tex]
[tex]\left y^2-25z^2\right[/tex]
[tex]25z^2 = \left(5z\right)^2[/tex]
==> [tex]\left y^2-25z^2\right = y^2-\left(5z\right)^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]y^2-\left(5z\right)^2=\left(y+5z\right)\left(y-5z\right)[/tex]
So the factored expression is
[tex]5\left(y+5z\right)\left(y-5z\right)[/tex]
mary robertson sells tires at a large car service center she earns 10 commission on the first $1000 15 on the next $2000 and 20 on sales of more than $3000 last
Her total commission was $560.
As 10% of the first $1,000, 15% of the next $2,000, and 20% of sales beyond $3,000 are commissions that she receives. She sold $3,400 worth of tires last week.
What does "total commission" mean?
The commission serves as a benefit or an inducement for the worker to close agreements so that the business can increase revenue and profits. The total commission is calculated by multiplying the total sales by the commission percentage.
After dividing the outcome by 100, multiply the sale price by the commission percentage. Perform the subsequent calculation: Each blue gadget costs $70. The salesman receives a 14% commission on each sale, or $9.80.
The percentage or fixed payment connected to a specific number of sales is referred to as a "commission rate." A commission, for instance, can be $30 or 6% of sales.
It is therefore $560.
To learn more about this, visit: https://brainly.com/question/11833031
#SPJ4
someone please help me with this question i really dont understand it
Answer:
d = 510 km
Step-by-step explanation:
She travelled the final 4 hours at a constant speed of 60 km/h.
distance = speed × time
distance = 60 km/h × 4 hours
distance = 240 km for the last 4 hours
She already had travelled 270 km in the first 3 hours.
d = total distance = 270 km + 240 km = 510 km
Answer: d = 510 km
40 is 77% of what number?
Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1
Answer:
Solve for x: [tex]x = \frac{3y+1}{4y-2}[/tex]
Evaluate x for y = 1: [tex]x = 2[/tex]
Step-by-step explanation:
[tex]Original:y=\frac{2x+1}{4x-3}\\Multiply\ out\ the\ denominator:(4x-3)*y = 2x+1\\Distribute: 4xy - 3y = 2x+1\\Group\ Like\ Terms:4xy-2x = 3y+1\\Factor\ Out\ x: x(4y-2) = 3y+1\\Divide\ to\ get\ x\ alone:x = \frac{3y+1}{4y-2}\\\\Plug\ in\ the\ value\ for\ y:x = \frac{3(1)+1}{4(1)-2}\\Multiply:x = \frac{3+1}{4-2}\\Add:x = \frac{4}{2}\\Simplify/Divide:x=2[/tex]
State the interval for which the following function is positive and its intercepts.
Answer:
see explanation
Step-by-step explanation:
the function is positive for values of y above the x- axis
the line goes on forever on the left side and terminates at x = 15 on the right side.
the interval where the function is positive is (- ∞, 15 ]
the x- intercept is where the line crosses the x- axis ( y = 0 )
x- intercept = 15
the y- intercept is where the line crosses the y- axis (x = 0 )
y- intercept = 3
What´s 5/6 X 1/4 =? its fraction operations
Answer:
0.2083
Step-by-step explanation:
The perimeter of the triangle shown is 556 meters. Find
the length of each side.
x meters =
4x meters =
(8x - 3) meters =
(Type integers or decimals.)
4x meters
(8x - 3) meters
x meters
Answer X=43 ,4X=172, (8X-3)=101
Step-by-step explanation:
Perimeter = addition of all sides ie;
556=X+4X+8X-3
556=13X-3
556+3=13X
559/13=13X/13
X=43
replace x with 43 to get their
331 students went on a field trip. Six
buses were filled and 7 students
traveled in cars. How many students
were in each bus?
The number of students in each bus are 54 students .
Given that, 331 students went on a field trip. Six buses were filled and 7 students traveled in cars.
Now you may get that only 7 students out of 331 are travelled in cars whereas others travelled by bus.
number of total students travelled by bus are 331-7 = 324 students
Therefore 324 students travelled in 6 buses.
Number of students travelled in each bus = 324/6 = 54 students.
Therefore number of students travelled in each bus is 54 students .
verification:
number of buses = 6
number of students in each bus = 54
Therefore total number of students in 6 buses = 6*54 = 324 students.
Learn more about students and buses problems on,
https://brainly.com/question/1458411
#SPJ9
How many solutions does this question have?
17h - 7 = 10h - 2 + 7h
Our initial equation:
17h - 7 = 10h - 2 + 7h
I want to get variables ("h") on one side, and numbers on the other, hence I will add 2 to both sides to shift numbers to the left side.
17h - 5 = 10h + 7h
Now I want to simplify the "h" on the right side.
17h - 5 = 17h
Now I will move the variable from the left to the right.
-5 = 0
17h - 17h is zero, think of h being equal to 1 if you don't get it.
-5 = 0 is a false inequality, there are no solutions.
THERE ARE NO SOLUTIONS.
the average lifetime of a certain new cell phone is three years. the manufacturer will replace any cell phone failing within two years of the date of purchase. the lifetime of these cell phones is known to follow an exponential distribution. the decay rate is:
The decay rate of a certain new cell phone is 0.333
For given question,
The average lifetime of a certain new cell phone is three years.
The manufacturer will replace any cell phone failing within two years of the date of purchase.
Also, the lifetime of these cell phones is known to follow an exponential distribution.
We need to find the decay rate.
We know that an exponential decay is the process of reducing an amount by a consistent percentage rate over a period of time.
since the average lifetime of a certain new cell phone is three years, the decay rate would be 1/3 = 0.333
Therefore, the decay rate of a certain new cell phone is 0.333
Learn more about the decay rate here:
https://brainly.com/question/12224278
#SPJ4
the cities portland, oregon; tacoma, washington; and seattle, washington, in respective order, lie approximately in a straight line. the distane from portland to tacoma is 120 miles. the distance from portalnd to seattle is 145 miles. find the distance from tacoma to seattle.
The distance from Tacoma to Seattle is estimated as 25 miles.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as the amount of ground an object had also covered regardless of its beginning or ending point.
Distance is the total length of the path in between two points.Distance is a scalar quantity because it is determined solely by magnitude and not by direction.Only positive values can be assigned to distance.Now, as per the given question;
The following are the distances between cities:
120 miles from Portland to Tacoma
145 miles from Portland to Seattle
120+x = 145
x = 145 - 120
x = 25 miles
Therefore, the distance from Tacoma to Seattle is estimated as 25 miles (according to the given graph).
To know more about the distance, here
https://brainly.com/question/26046491
#SPJ4
The complete question is -
Item 17 The cities Portland, Oregon; Tacoma, Washington; and Seattle, Washington, in respective order, lie approximately in a straight line. The distance from Portland to Tacoma is 120 miles. The distance from Portland to Seattle is 145 miles. Find the distance from Tacoma to Seattle.
(see attached figure)
If the total price for two cars at a dealership is $98,000, where one car’s price is $13,000 less than twice the other, what is the price of the cheaper vehicle?
Solve the equation for x. Write your answers as fractions. x2 = 9 100
I need help with this question so I came to Brantley
The value of the variable x is 5 and the lengths of PL and LQ are 9 and 48, respectively.
How to find the value of a variable and the length of the line segments behind that variable
In this problem we find a line segment generated by points P and Q and in which a point L divides the line segment PQ in two sections: PL and LQ. In accordance with the statement, we have the following equations describing the geometric system:
PQ = PL + LQ
PQ = PL + LQ
57 = (2 · x - 1) + (9 · x + 3)
Now we proceed to clear the variable x with the resulting equation:
57 = 11 · x + 2
55 = 11 · x
x = 5
And finally we find the length of each line segment:
PL = 2 · 5 - 1
PL = 9
LQ = 9 · 5 + 3
LQ = 48
The value of the variable x is 5 and the lengths of PL and LQ are 9 and 48, respectively.
To learn more on line segments: https://brainly.com/question/24069265
#SPJ1
1. 48/8 + 44/8 = ?
2. 10/10 + 30/10 = ?
3. 6/4 + 2/3 = ?
4. 1/8 + 2/16 = ?
5. 4/4 + 14/16 = ?
6. 4/3 + 2/9 = ?
7. 2/4 + 4/8 = ?
8. 20/5 + 15/5 = ?
9. 2/4 + 4/6 = ?
10. 4/7 + 6/21 = ?
11. 4/2 + 16/18 = ?
i rlly need the answers rn bcs i have to pass it tom
Step-by-step explanation:
1. [tex] \frac{48}{8} +\frac{44}{8}= 11 \frac{1}{2} [/tex]
[tex]2.\frac{10}{10} + \frac{30}{10} = 4[/tex]
[tex]3.\frac{6}{4} + \frac{2}{3} = 2 \frac{1}{6}[/tex]
[tex]4.\frac{1}{8} + \frac{2}{16} = \frac{1}{4}[/tex]
[tex]5.\frac{4}{4} + \frac{14}{16} = 1 \frac{7}{8}[/tex]
[tex]6.\frac{4}{3} + \frac{2}{9} = 1 \frac{5}{9}[/tex]
[tex]7.\frac{2}{4} + \frac{4}{8} = 1[/tex]
[tex]8.\frac{20}{5} + \frac{15}{5} = 7[/tex]
[tex]9.\frac{2}{4} + \frac{4}{6} = 1 \frac{1}{6}[/tex]
[tex]10.\frac{4}{7} + \frac{6}{21} = \frac{6}{7}[/tex]
[tex]11.\frac{4}{2} + \frac{16}{18} = 2 \frac{8}{9}[/tex]
if h(t)=1/t divided by 1 what is h(1/2)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given the function [tex]h(t)=\frac{1}{t+1}[/tex], we can find [tex]h(\frac{1}{2} )[/tex] by substituting [tex]\bf{t=\frac{1}{2}}[/tex].
When t= [tex]\frac{1}{2}[/tex],
[tex]h(\frac{1}{2})[/tex]
[tex]=\frac{1}{\frac{1}{2}+1 }[/tex]
[tex]=\frac{1}{(\frac{3}{2} )}[/tex]
[tex]=\bf{\frac{2}{3}}[/tex]
Additional:
To learn more about functions, you may wish to check out: https://brainly.com/question/520434
Find the missing angles x and y vertical/adjacent angles
Answer: x = 49 degrees, y = 41 degrees
Step-by-step explanation:
Using supplementary angles, we know that x + y + 90 degrees = 180 degrees.
Using complimentary angles, we know that x + 41 degrees = 90 degrees, and x + y = 90 degrees.
Solving first for x,
x + 41 degrees = 90 degrees
x = 90 - 41 degrees
x = 49 degrees
Solving for y,
x + y = 90
Substituting 49 degrees in for x,
y + 49 degrees = 90 degrees
y = 90 - 49 degrees
y = 41 degrees
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Using proportions, it is found that the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.
What is the missing information?The Ruiz family is exchanging Euros for USD dollars, considering the following currency rate:
1 euro = 1.35261 USD.
Considering that the amounts in USD are rounded to the nearest hundredth, the use the following rule
1 euro - 1.35 USD.
It asks if the Ruiz family will be getting the most accurate answer.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, we suppose a 1000 euros amount, them:
1000 x 1.35261 = $1,352.61.1000 x 1.35 = $1,350.Hence the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
The line y=kx+4 goes through the point (2,-2)
Sketch the graph the line
Please write it step by step
The line of the graph y= kx +4 goes through the point (2,-2) is given by
y = -3x +4.
As given in the question,
Equation of the line is given by y = kx + 4
Passing through the point (2, -2)
Substitute the value in equation we get,
-2= k(2) + 4
⇒2k = -2 -4
⇒k =-6 /2
⇒k =-3
Equation of the line y= -3x + 4 sketched on graph passing through (2,-2).
Therefore, the line of the graph y = kx +4 goes through the point (2,-2) is given by y = -3x +4.
Learn more about graph here
brainly.com/question/17267403
#SPJ1
The Galveston-Port Bolivar ferry take cars across Galveston Bay. One day, the ferry transported a total of 350 cars over a 5-hour period.the ferry took the same number of cars each hour. how many cars did it take each hour? complete the bar diagram to help
Answer:
70 cars
Step-by-step explanation:
if the ferry took the same number of cars each hour, then you would just do 350/5 = 70
helpp- question linked below
Answer:
Ann = 67 stickers
Josh = 60 stickers
Claire = 30 sickers
Lamar's office recycled a total of 6 kilograms of paper over 3 weeks. how many weeks will it take lamar's office to recycle a total of 24 kilograms of paper? solve using unit rates.
Lamar's office will take 12 weeks to recycle a total of 24 kilograms of paper
Information about the problem:
Kg recycled= 6 kgtime= 3 weeksWeeks= ?Total recycle = 24 KgTo solve this problem, we have to state the equation using the information of the problem:
Calculating the recycle rate of Lamar's office, we get:
Rate = Kg recycled / time
Rate = 6 kg/3 weeks
Rate = 2 kg/week
Calculating how many weeks Lamar's office will take to recycle 24 kilograms:
Weeks = Total recycle/ rate
Weeks = 24 kg / 2kg/week
Weeks = 12 weeks
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
Learn more about algebraic operations at: brainly.com/question/3927786
#SPJ4
The heights, in cm, of 32 female gymnasts were recorded:
148 152 147 149 150 147 151
142 156 148 148 149 150 152
155 154 151 154 148 150 149
145 147 148 161 152 162 149
146 151 150 157
a) Construct a grouped frequency table, using groups of 5 cm.
b) Draw a histogram to represent this data.
Step-by-step explanation:
142r4h+34-45=673cm2468228b288Audrey misses 10% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 52?
Answer:
520
Step-by-step explanation:
10 missed in 100 free throw ( because of 100%)
=> 1 missed in (100/10) free throw
=> 52 missed in (52*100/10) free throw
= 520 free throw
Hope it helps!
Brainliest?
I’m having trouble understanding this. So pls help me: 5 √(5)^2
Answer:
5 √(5)^2 = 25
Step-by-step explanation:
The square root of 5^2 is 5. Then we will have to multiply by 5 to get our answer. So we'd do 5 x 5 and it'd equal 25. Therefore our final answer is 25.
I hope this helps, have a blessed day! :D
From 2018 to 2010, the total number of passengers passing through Changi Airport increased by 4% In 2019, the total number was 68 280 000. Calculate the number of passengers passing through Changi Airport in 2018.
Leave your answer correct to the nearest whole number.
Step-by-step explanation:
I guess this means from 2018 to 2019 (and not to 2010).
so, compared to 2018 the numbers of 2019 were 104% (100% of 2018 plus 4% increase).
104% = 68,280,000
100% = 104%/1.04 = 68,280,000/1.04 =
= 65,653,846.15 ≈ 65,653,846
the number of passengers in 2018 were about
65,653,846