The original number of spokes on the wheel was 36.
The question seeks to determine the original number of spokes on a bicycle wheel, given that the current number is 32 after reducing by 4. To find the original number of spokes, we need to use a simple algebraic equation that adds the removed spokes back to the current number.
Let x represent the original number of spokes. The manufacturer has reduced the number of spokes by 4, so we subtract 4 from the original number to get the current number of spokes. The equation that represents this scenario is:
x - 4 = 32
To find the original number of spokes, we need to solve for x:
x = 32 + 4
x = 36
Therefore, the original number of spokes on the wheel was 36.
how do you write this in numerical expression and in a answer statement
Can You show me how to do this?
A student used the equation below to create a table.
y = –3x – 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
A. (–11, –2)
B. (–2, –11)
C. (–2, 1)
D. (1, –2)
What is 14.281 rounded to the nearest one?
e vertices of a trapezoid are shown below. P(0, 0), Q(2, 0), R(2, 5), S(0, 10) This trapezoid is dilated about the origin by a scale factor of 3. What is the location of point Q'?
The location of point Q' after the dilation is (6, 0).
What is dilation?Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.
To dilate the trapezoid by a scale factor of 3 about the origin, we need to multiply the coordinates of each vertex by 3.
The coordinates of Q are (2, 0), so to find the coordinates of Q' after the dilation, we multiply both the x and y coordinates by 3:
Q' = (32, 30) = (6, 0)
Therefore, the location of point Q' after the dilation is (6, 0).
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What symbol should be placed in the blank to make the equation true? 3 + 10___ 2 - 4 = 4
1. A parallelogram with four congruent sides is a? 2. A polygon with all angles congruent is a? 3. Angles of a polygon that share a side are? 4. A blank is a quadrilateral with exactly one pair of parallel sides?
What is the volume of the pyramid to the nearest whole unit?
A. 1,134 yd^3
B. 567 yd^3
C. 378 yd^3
D. 284 yd^3
What is the sixth term in the binomial expression (5y+3)^10
Answer : The sixth term in the binomial expression is, [tex]^{10}C_5a^{5}b^{5}[/tex]
Step-by-step explanation :
The general formula to calculate the term of binomial expression is:
[tex]T_(r+1)=^nC_ra^{(n-r)}b^r[/tex]
where,
(r+1) = number of term
As we are given the binomial expression :
[tex](5y+3)^{10}[/tex]
For sixth term :
a = 5y
b = 3
n = 10
As, r + 1 = 6
So, r = 6 - 1
r = 5
Now put all the given values in the above formula, we get:
[tex]T_(r+1)=^nC_ra^{(n-r)}b^r[/tex]
[tex]T_(5)=^{10}C_5a^{10-5}b^5[/tex]
[tex]T_(5)=^{10}C_5a^{5}b^{5}[/tex]
Thus, the sixth term in the binomial expression is, [tex]^{10}C_5a^{5}b^{5}[/tex]
A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Answer:
26.25
Step-by-step explanation:
I took the test.
What is the next expression in the following pattern: 4n; 8n; 16n???
15 POINTS!! HELP ME PLZ!!!
In conducting a survey of voters, a pollster selected every tenth name on a list of registered voters.
Which sampling technique did the pollster use?
a) convenience sampling
b) stratified sampling
c) systematic sampling
d) voluntary sampling
The answer is C: systematic sampling
Answer:
The awnser is C
Step-by-step explanation:
combine the like terms 10 y + 1 x - 4y + 4x
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run? Round your answer to the nearest meter.
The distance covered by a player on a rectangular football field will be 118.73 meters.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.
Then the distance covered by a player on a rectangular football field will be given by the Pythagoras theorem.
H² = 100² + 64²
H² = 10000 + 4096
H² = 14096
H = 118.73 meters
The distance covered by a player on a rectangular football field will be 118.73 meters.
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A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.And please explain how you got the answer
The date set with the greater range is neither as the range is the same.
The median is not the same for both sets of data.
What is a median?
It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Number of boys = 10
The number of hours from the 10 boys.
= 8, 10, 10, 10, 12, 13, 14, 15, 15, 20
Range = Highest value - Lowest value
= 20 - 8
= 12
Median = (12 + 13)/2 = 25/2 = 12.5
Number of girls = 10
The number of hours from the 10 girls.
= 3, 4, 4, 4, 6, 7, 8, 10, 10, 15
Range = Highest value - Lowest value
= 15 - 3
= 12
Median = (7 + 8)/2 = 15/2 = 7.5
Thus,
The range of both boys and girls is the same.
The median of boy's number of hours is 12.5.
The median of girl's number of hours is 7.5.
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Each option below lists three expressions. Which option lists expressions that are not equivalent?
A) 81^3/4 ; 27 ; ^4square root of81^3
B) 8 ; ^4square root of16^3 ; 16^.75
C) (625^.25)^3 ; (625^3)^1/4 ; 125
D) 256 ; 1,296^3/4 ; ^4square root of1,296^3
Answer:
D) 256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3
Let's rewrite the expression step by step:
1296 ^ 3/4
(1296) ^ (3/4)
(1296 ^ 3) ^ (1/4)
(2176782336) ^ (1/4)
216
This result is different from 256.
Answer:
D) 256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3
Step-by-step explanation:
Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
Round 0.68 to the nearest tenth
Answer:
0.7
Step-by-step explanation:
Can someone help me on both of the questions?!
Step-by-step explanation:
The expression for the pressure in terms of force is as follows;
[tex]P= \frac{F}{A}[/tex]
Here, F is the force, P is the pressure and A is the area.
It is given in the problem that an object exerts 140 N of force on a surface that has an area of 2.0 meter square.
Put F= 140 N and A= 2 meter square in the above expression.
[tex]P= \frac{140}{2}[/tex]
[tex]P= 70 N/m^2[/tex]
Therefore, the pressure exerts on the object is 70 N/m^2.
The motion of air particles inside an inflated balloons:
In the inflated balloons, the molecules of air are far apart. These molecules are in random motion. They collide each other inside the surface of the balloons. The pressure will be exerted by the air molecules on the surface of the balloons. The pressure caused by atmospheric molecules collides with the outside the surface is equal to the pressure caused by atmospheric molecules collides with inside the surface of the inflated balloons. Therefore, the volume of the balloons remains constant.
instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.
question: There are 5 red marbles and 9 blue marbles in a bag. suppose two of the marbles are cracked. how many ways can four marbles be selected so that either no cracked marbles are selected or just one cracked marble is selected?
Does 60, 63, 87 form a right triangle
One lap around the track is 1/4 mile. Abby ran around the track 13 times.How far did she run?
Josie selected a number n. She divided n by 2 and then subtracted 0.5 from the result. She took half of that result and then subtracted 0.5 to get the final result of 10. What is the value of n?
You deposit $350 in a savings account. The account earns 2.5% simple interest per year. What is the balance after 2 years?
Answer:
Balance = $367.5
Step-by-step explanation:
The 2.5% of $350 is,
→ (350/100) × 2.5
→ 3.5 × 2.5
→ $8.75
The balance after 2 years is,
→ $350 + (2.5%) × 2 years
→ 350 + 8.75 × 2
→ 350 + 17.5
→ $367.5
Hence, the answer is $367.5.
The balance after 2 years on principle amount of $350 at the rate of 2.5% will be $525.
What is Simple interest?The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.
Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.
As per the information in the question,
Principle amount, p = $350
Rate, r = 2.5%
Time, t = 2 years.
Use the formula of simple interest,
[tex]S.I = (p*r*t)/100[/tex]
S.I = (350 × 2.5 × 2)/100
S.I = 17500/100
S.I = 175
Now, the total amount will be,
$350 + 175 = $525
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Sandy spun a spinner with 5 equal parts labeled 1-5. What is the probability she will Not spin a 4
The probability that she will not spin a 4 will be 0.80 or 4/5.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Sandy spun a spinner with 5 equal parts labeled 1-5. Then the total number of events will be given as,
Total events = 5 {1, 2, 3, 4, 5}
Then the favorable events are given as,
Favorable events = 4 {1, 2, 3, 5}
Then the probability is given as,
P = 4 / 5
P = 0.80
The probability that she will not spin a 4 will be 0.80 or 4/5.
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Final answer:
The probability that Sandy will not spin a 4 on a spinner with 5 equal parts is 4/5 or 80%. There are 4 favorable outcomes and 5 possible outcomes in total.
Explanation:
The question asks for the probability that Sandy will not spin a 4 on a spinner that's divided into 5 equal parts, each labeled with the numbers 1-5. Since there are 5 outcomes and only one of them is the one we want to avoid, that leaves us with 4 favorable outcomes (spinning a 1, 2, 3, or 5). The probability of not spinning a 4 is therefore the number of favorable outcomes (not spinning a 4) divided by the total number of possible outcomes (spinning any number from 1 to 5).
To calculate this, we divide the favorable outcomes by the total number of outcomes. This gives us a probability of 4/5, or 80%. The calculation is as follows:
Number of favorable outcomes: 4 (spinning a 1, 2, 3, or 5)Total number of outcomes: 5 (spinning any number from 1 to 5)Therefore, P(not spinning a 4) = 4 favorable outcomes / 5 total outcomes = 4/5 or 0.8, which means there is an 80% chance that Sandy will not spin a 4.
Which word has line symmetry, DAD, ODE, or HOME
the elevation of Denver Colorado is 13 times greater than that of waikapu. hawaii.the sum of their elevations is 5600 ft. find the elevation of each city
Answer:
400ft
Step-by-step explanation:
The elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet, derived from a simple algebraic equation based on their given relationship and sum of elevations.
We are given that the elevation of Denver, Colorado is 13 times greater than that of Waikapu, Hawaii, and the sum of their elevations is 5600 ft. To find the elevation of each city, we can set up a system of equations.
Let x represent the elevation of Waikapu, then the elevation of Denver is 13x. According to the problem, we can set up the equation as follows:
x + 13x = 5600
Combining like terms gives us:
14x = 5600
Dividing both sides by 14 to isolate x gives us:
x = 5600 / 14
x = 400
Now that we have the elevation of Waikapu, we can find Denver's elevation by multiplying 400 by 13:
Denver's elevation = 13 x 400 = 5200 ft
Therefore, the elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet.
An object accelerates 5.0 m/s2 when a force of 20.0 newtons is applied to it. What is the mass of the object?
A kite has vertices at (2,4) (5,5) (5,1) and (0,-1) what is the approximate perimeter of the kite?
how many kilograms is in 2,500 dekagrams