Final answer:
By setting up simple equations based on the given statements, we can determine the relative number of siblings that Terrance, Casey, and Kolbie have.
Explanation:
Based on the provided statements, we can set up a system of simple algebraic equations to solve for the number of siblings each person has. Let's assume Casey has C siblings. According to the given information:
Terrance has one fewer sibling than Casey, which can be represented as T = C - 1.
Kolbie has three more siblings than Terrance, which can be represented as K = T + 3.
Therefore, Kolbie's equation becomes K = (C - 1) + 3 or K = C + 2 after simplifying. Through these relationships, we can understand the relative number of siblings each individual has.
Which percents would be close to 7%? 4.8% 5.2%. 6.8%. 5.5%
Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)
The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles is 0.20 ohms.
Explanation:To calculate the resistance of a piece of aluminum wire, we first need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils. So, a diameter of 100 mils is equal to 100,000 cmils. Next, we need to use the K value for aluminum, which is 1.82 ohms * cmil/ft. We convert the length of the wire from miles to feet, which gives us 10560 feet. Now, we can calculate the resistance using the formula:
Resistance = (K * Length) / Area
Where K is the conductivity of aluminum, Length is the length of the wire in feet, and Area is the cross-sectional area of the wire in cmils. Plugging in the values, we get:
Resistance = (1.82 * 10560) / 100000 = 0.1957 ohms
Therefore, the resistance of the aluminum wire is 0.20 ohms.
The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F, is 0.0002784 ohms.
To calculate the resistance of the aluminum wire, we need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils.
So, the diameter of the wire in cmils would be 100 * 1000 = 100,000 cmils.
Next, we need to use the K value for aluminum, which is 2.65 micro-ohm cmil/foot. We need to convert the length of the wire from miles to feet. 1 mile is equal to 5280 feet.
So, the length of the wire in feet would be 2 * 5280 = 10,560 feet.
Now, we can calculate the resistance using the formula R = (K * L) / A, where R is the resistance, K is the K value for aluminum, L is the length of the wire in feet, and A is the cross-sectional area of the wire in cmils.
Plugging in the values, we get R = (2.65 * 10^(-6) * 10560) / 100000 = 0.0002784 ohms.
What is the y intercept of y = 6x + 32?
Question 4 options:
6
6x
32
0
The y-intercept of y = 6x + 32 is 32.
Explanation:The y-intercept of a linear equation is the point where the graph of the equation intersects the y-axis. In the equation y = 6x + 32, the y-intercept is the value of y when x is equal to 0. To find it, substitute 0 for x in the equation: y = 6(0) + 32. Simplify the equation to find that the y-intercept is 32.
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A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end. The results of 20 trials are shown in the table below: A chart shows tally marks. Main title for the chart is Paper Cup Experiment. The title for the second column is Number of times occurred. The tally mark corresponding to open shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. The tally mark corresponding to closed shows a set of 4 vertical lines. The tally mark corresponding to side shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. Based on the table, which of the following best compares the experimental probability of the cup landing on its open end with the experimental probability of the cup landing on its closed end?
A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.Find the length of the ladder?
The length of the hypotenuse or the ladder is 25 feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.
So, The base is 7 feet and the height is 24 feet.
Therefore,
Hypotenuse² = Base² + Height².
Hypotenuse = [tex]\sqrt{49 + 576}[/tex].
Hypotenuse = [tex]\sqrt{625}[/tex].
Hypotenuse = 25 feet.
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Write 3.35 as a mixed number
How many units are between (9,6) and (-16,6)?
mathew is 2 yards tall how many inches tall is he.
Find the area to the right of a z score of 2.75 under a standard normal distribution curve
What is the range of the function represented by the table?
A {2, 4, 6, 8, 10}
B {2.5, 5.0, 7.5, 10.0, 12.5}
C {2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}
D {0.0, 0.5}
Answer:
{2.5, 5.0, 7.5, 10.0, 12.5}
Step-by-step explanation:
4n-3=-2n+9 What is the value of the variable 'n'?
The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?
What is the greatest amount of cups of green ooze any one contestant carried?
(80 POINTS)
For each pair of shapes, decide whether they are congruent, similar, or neither. Choose the best answer.
The first figure is congruent by SSS congruency.
The second figure is congruent by ASA congruency.
The third figure is congruent by SAS congruency.
The fourth figure is Similar.
The fifth figure is congruent by ASA congruency.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
By first figure,
In both triangles, All sides are equal to each other.
Hence, The first figure is congruent by SSS congruency.
By second figure,
In both triangles, One side and two angles are equal to each other.
Hence, The second figure is congruent by ASA congruency.
By third figure,
In both triangles, Two sides and One angle are equal to each other.
Hence, The third figure is congruent by SAS congruency.
By fourth figure,
In both triangles, Ratio of there corresponding sides are equal as;
⇒ 2 : 4 = 5 : 10
⇒ 1 : 2 = 1 : 2
Thus, The fourth figure is Similar.
By fifth figure,
In both triangles, Two angles and One side are equal to each other.
Hence, The fifth figure is congruent by ASA congruency.
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)The table below shows a correct representation that 16 pounds (lb) of sugar cost $4: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1 $1
true or faulse?
Answer:
it is true
Step-by-step explanation:
Help help help plz give me the right answer
Richard caught f fish two weeks ago and 32 fish last week.
How many fish has Richard caught these last two weeks combined?
Write your answer as an expression.
Answer:
The answer is f+32
Step-by-step explanation:
The expression which represents the total fish caught by Richard is
f + 32.
What is expression?A set of variables, constants, and mathematical operations forms an algebraic expression.
According to the given question.
The number of fishes caught by Richard two weeks ago = f
And the fish caught by Richard last week = 32
Therefore,
The expression for the total fish caught by Richard these last two weeks
= f + 32
Hence, the expression which represents the total fish caught by Richard is f + 32.
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In which quadrant is the point (0,7) located? Explain your answer.
Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft drink?
Let the cost of the soft drink = C then the price of the sandwich was 3.5 times as much = 3.5C
And
C + 3.5C = Total Cost
C + 3.5C = 9
4.5C = 9 divide both sides by 4.5
C = 9/4.5 = $2.00 for the soft drink
And 3.5C = 3.5(2.00) = $7.00 cost of the sandwich
If Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that, Kit spent $9.00 on a soft drink and a sandwich, with the food being 3.5 times as expensive as the soft drink.
Suppose the cost of the soft drink is x as a result the price of the sandwich will be 3.5x.
Total cost = $9
x+3.5x=9
4.5x=9
x=9/4.5
x= $2.00
The price of the sandwich obtained as,
=3.5x
=3.5× $2.00
=$7
Thus, if Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
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A right rectangular prism has a length of 6 inches, a width of 9 inches, and a height of 10 inches. What is the surface area of the prism? Enter your answer in the box. in²
Answer:
A=408in²
Step-by-step explanation:
A=2(wl+hl+hw)=2·(9·6+10·6+10·9)=408in²
To build a desktop you put 2 boards together . One board is 1/3 inch thick, and the other is 1/2 inch thick . How thick will the desktop be?
Kaylie had $1250 in her saving account. She withdrew $82 each month in order to pay for a summer vacation. How much did Kaylie have in he account at the end of eight months?
Write 4.4 as a reduced mixed number
How many different triangles can be constructed with three angles, each measuring 30°?
What is the area of this figure ?
Jasmine has 50 shares of a stock. The value of each share went down by $2 today. Express the total change in value of Jasmines shares as an integer calculation.
last summer Marion was three and a half feet tall she was 4 inches taller than her brother Elijah she was one in a quarter feet shorter than her sister Lori how tall were Elijah and Lori Last Summer
A bear cub weighed 64 oz in March. After three months, it weighed 31 lbs. How many lbs did the cub weigh in March?
Three girls collected geodes in the desert. Corinne collected 11 1/8 pounds, Ellen collected 4 5/8 pounds, and Leonda collected 3 3/4 pounds. How much did Corinne collected than the other two girls?
Answer:
2 3/4
Step-by-step explanation:
Kim rode her bicycle 135 miles in 9 weeks riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A.) Eric rode 2 more miles per week than Kim rode
B.)Kim rode 3 more miles per week than Erick rode
C.) Kim rode 11 more miles per week than Erick rode
D.) Eric rode 17 more miles per week than Kim rode
Answer:
The answer is the option A
Eric rode [tex]2[/tex] more miles per week than Kim rode
Step-by-step explanation:
Step 1
Find the number of miles that Kim rode per week
Divide the total miles by the total weeks
so
[tex]\frac{135}{9}\frac{miles}{weeks}= 15\frac{miles}{week}[/tex]
Step 2
Find the number of miles that Eric rode per week
Divide the total miles by the total weeks
so
[tex]\frac{102}{6}\frac{miles}{weeks}= 17\frac{miles}{week}[/tex]
Step 3
Compare the unit rates
Kim [tex]15\frac{miles}{week}[/tex]
Eric [tex]17\frac{miles}{week}[/tex]
[tex]17\frac{miles}{week}-15\frac{miles}{week}=2\frac{miles}{week}[/tex]
so
Eric rode [tex]2[/tex] more miles per week than Kim rode