The difference between the distances thrown by Oliver and Jason while discus throwing is 6.2 feet.
The correct answer is Option B.
Given data:
Oliver threw the discus 43.82 feet.
Jason threw the discus 50.02 feet.
Oliver threw the discus a distance of 43.82 feet, while Jason's throw reached a distance of 50.02 feet. The difference is calculated by subtracting the shorter distance from the longer distance, resulting in 6.2 feet.
Difference = Longer distance - Shorter distance
Difference = 50.02 feet - 43.82 feet
On simplifying the equation:
Difference = 6.2 feet
This represents the variation in their performances, with Jason achieving a greater distance by 6.2 feet compared to Oliver's throw.
Hence, the difference is 6.2 feet.
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11. Descartes
has $9. He works 5 hours
and earns $8 each hour. Write an
expression
to represent the situation
Answer: y = 8x + 9
Step-by-step explanation: Descartes begins with only $9.00, so 9 is the y-intercept. He makes $8.00 every hour, so that is the slope.
y = mx + b
m is the slope, and b is the y-intercept.
y=8x + 9
The expression that represents the given situation is y = $49.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it isgiven that,
Descartes has Money = $9
Each hour earning = $8
Total time of work = 5 hours
So, total money earned in 5 hours = 8*5 = $40
Let y be the total money Descartes has.
So total money Descartes has = Money + total money earned in 5 hours
⇒ y = $9 + $40
⇒ y = $49
This is the required expression for the present situation.
Thus, The expression that represents the given situation is y = $49.
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Solve the problem please.
∑ Hey, shadowwolf9764 ⊃
Answer:
x = - 7.5
Step-by-step explanation:
Given:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]
Solution~:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]
Distribute:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}[/tex]
Subtract 1/4 from both sides:
[tex]\frac{1}{5}x+\frac{1}{4}-\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}-\frac{1}{4}[/tex]
[tex]\frac{1}{5}x=\frac{9}{4}+\frac{1}{2}x[/tex]
Subtract 1/2x from both sides:
[tex]\frac{1}{5}x-\frac{1}{2}x=\frac{9}{4}+\frac{1}{2}x-\frac{1}{2}x[/tex]
[tex]-\frac{3}{10}x=\frac{9}{4}[/tex]
Multiply both sides by 10:
[tex]10\left(-\frac{3}{10}x\right)=\frac{9\cdot \:10}{4}[/tex]
[tex]-3x=\frac{45}{2}[/tex]
Divide both sides by -3:
[tex]\frac{-3x}{-3}=\frac{\frac{45}{2}}{-3}[/tex]
x = -15/2
x = -7.5
xcookiex12
9/4/2022
#learnwithxcookiex12
If y’all can’t se it just zoom in because that’s the best I can get it please help me thank u please don’t comment on my stuff just for points I really need help with this
Answer:
the answer is 42
Step-by-step explanation:
you add 217+153+88=458
500-458=42
Use the number line to complete the sentence.
<————————-> (its on (point A, 1) and (point B, 6) what is
The distance from point A to point Bis [blank] units.
Enter your answer as the number that correctly fills in the blank in the previous sentence
Answer:
5
Step-by-step explanation:
Hop the spaces from 1 until you reach to 6 and you get 5 hops
What is the number of combinations on a lock. (for a 40-number lock, no successive repeating numbers)
(permutations or combinations).
evaluate |3-5+7|
a-15
b-5
c- -15
d- -5
|2w + 12| = |4x|
Hvghvvhvgbvgh
Answer:
No solutions.
Step-by-step explanation:
[tex]\left|2w\left(x\right)+12\right|=\left|4x\right|[/tex]
[tex]x < 0,\:\:x\ge \:0 = No Solutions[/tex]
Please type the answers please help
Answer:
Step-by-step explanation:
哇，我喜歡吃很多食物，因為我喜歡並喜歡它。
Wa, wǒ xǐhuān chī hěnduō shíwù, yīnwèi wǒ xǐhuān bìng xǐhuān tā.
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x-2
s(x)=3x+6
Write the expressions for (r+s) (x) and (r-s)(x) and evaluate (r·s)(−1).
(r+s)(x) =
(r-s)(x) =
(r.s) (-1) =
Assume that the following definitions of the functions r and s apply to all real numbers x. r(x)=x-2s(x)=3x+6 Evaluate (rs)(1) and write the equations for (r+s)(x) and (r-s)(x). r+s(x) = r-s(x) = r.s(-1) =
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function.
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A conjecture and the paragraph proof used to prove the conjecture are shown. Given: R S T U is a parallelogram. Angle 1 and angle 3 are complementary. Prove: angle 2 and angle 3 are complementary. Parallelogram J K L M. A diagonal segment U S is drawn across the parallelogram. Angle R U S is labeled 1. Angle U S T is labeled 2. A ray is extended diagonally up to the left of UT forming an interior angle labeled as 3. Drag an expression or phrase to each box to complete the proof.
It is given that RSTU is a parallelogram, so RU ∥ ST by the definition of parallelogram.
Therefore, ∠1 ≅ ∠2 by the alternate interior angles theorem, and m∠1 = m∠2 by the angle congruence postulate .
It is also given that ∠1 and ∠3 are complementary, so m∠1 + m∠3 = 90° by the definition of complementary .
By substitution, m∠2 + m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.
How to prove the angles in a Parallelogram?
From the given image of the parallelogram, we are given that;
Angle 1 and angle 3 are complementary.
Now, complementary angles sum up to 90°. Thus;
∠1 + ∠3 = 90°
Now, according to definition of parallelogram, we know that alternate interior angles of a parallelogram are congruent(equal). Thus;
∠1 = ∠2
Since ∠1 = ∠2, then by substitution property into the first equation, we have; ∠2 + ∠3 = 90°
Since the sum of ∠2 and ∠3 is equal to 90°, then we can say that they are both complementary angles.
Thus, we conclude that;
It is given that RSTU is a parallelogram, so RU ∥ ST by the definition of parallelogram.
Therefore, ∠1 ≅ ∠2 by the alternate interior angles theorem, and m∠1 = m∠2 by the angle congruence postulate .
It is also given that ∠1 and ∠3 are complementary, so m∠1 + m∠3 = 90° by the definition of complementary .
By substitution, m∠2 + m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.
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Graph the linear equation.
x = 6
Use the graphing tool to graph the linear equation.
The graph of the linear equation, x = 6, is shown in the image attached below.
How to Graph the Equation of a Vertical Line?The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.
Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.
Thus, the graph of the linear equation, x = 6, is shown in the image attached below.
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10.
An airplane has economy and first class seating.
There are s seats in each row in economy.
There are t seats in each row in first class.
There are 9 rows in first class and 24 rows in economy.
Write down an expression, in terms of s and t, for the number of seats on the
airplane.
The expression, in terms of s and t, for the number of seats on the airplane is given by 24 s + 9 t.
We are given that there are 2 types of seating in an airplane which are economy and first class seating.
Also,
We are given that:
There are s seats in economy in each row and there are t seats in first class in each row.
Now, there are 24 rows in economy class seating.
So, number of seats in economy class = 24 × s = 24 s
And, there are 9 rows in first class seating.
So, number of seats in first class = 9 × t = 9 t
The total number of seats then will be = 24 s + 9 t
Therefore the expression, in terms of s and t, for the number of seats on the airplane is given by 24 s + 9 t.
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Josie has a 1,364-page book to read over summer vacation. She wants to read the
same number of pages each day for 62 days. What is the total number of pages
Josie will need to read each day?
A. 28
B. 27
C. 22
D. 17
Given the recursive formula shown, what are the first 4 terms of the sequence?
f(n)=
f(1) = 3
(f(n)=f(n-1)+4 if n>1
OA) 3, 7, 11, 15
B) 4, 7, 10, 13
C) 3, 9, 11, 13
D) 3, 8, 10, 12
Answer:
Option A: 3, 7, 11, 15
Step-by-step explanation:
f(2) = f(1) + 4 = 3 + 4 = 7
f(3) = f(2) + 4 = 7 + 4 = 11
f(4) = f(3) + 4 = 11 + 4 = 15
f(5) = f(4) + 4 = 15 + 4 = 19
Tina Charlie and Amber have Matchbox cars each car has 4 wheels . how many wheels do their cars have altogether .
Answer:
I think its 12
Step-by-step explanation:
I think its 12 bc 4+4+4=12 Sorry if its wrong! ):)
The cube of the product of 4 and a number
hi
if you call the number "n" you have : ( 4n)³
The cube formed by the product of 4 and a number is (4 * n)^3.
What are cubes?A number's third power, or the outcome of multiplying three occurrences of the number n together, is known as the cube In mathematics and algebra. A superscript 3 represents the cube of a number or any other mathematical expression.The name comes from the fact that the volume of a geometric cube is equal to the cube of its side length.According to our question ,
Let n be any number on any integer.The cube of the product of and any number will be = (4 * n)^3.Hence we can say that the cube formed by the product of 4 and a number is (4 * n)^3.
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Find the least common denominator (LCD) of 1/2 and 11/12
Answer:
LCD = 12
Step-by-step explanation:
7. Kiara baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her
friends at school. She wants to divide the cookies into identical containers so that each container has the same
number of each kind of cookie. If she wants to have the greatest number of containers possible, how many
containers does she need? How many oatmeal and chocolate chip cookies will be in each container?
The greatest possible containers required by Kiara is 4.
The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.
What is defined as the highest common factor?The highest common factor, or HCF, is the greatest number that divides each of two or more numbers.HCF is also recognised as the Greatest Common Measure (GCM) and the Greatest Common Divisor (GCD) .For the given question;
The total number of oatmeal cookies = 12.
The total number of chocolate chip cookies = 16.
Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).
HCF = 4.
Thus, the number of boxes requires is 4.
The oat place in one box is 3. In 4 boxes it will be 12.
Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.
Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.
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A carry on bag costs $24 less than a suitcase. Janice bought 3 suitcases and 2 carry ons for $547. How much does one suitcase cost?
f the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb
Let the gray suitcase be represented by g
Let the pink suitcase be represented by p
Let the blue suitcase be represented by b
The gray suitcase weighs 11 lb more than the pink suitcase
g = p + 11........(1)
The pink suitcase weighs 5 lb than the blue suitcase.
p = b + 5
b = p - 5...........(2)
Total of 3 suitcases = 127 lb
p + b + g = 127............(3)
Substitute equations (1) and (2) into equation (3)
p + p - 5 + p + 11 = 127
3p + 6 = 127
3p = 127 - 6
3p = 121
p = 121/3
p = 40.3 lb
Substitute p = 40.3 into equation (2)
b = p - 5
b = 40.3 - 5
b = 35.3
The blue suitcase weigh 35.3 lb
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Estimate the quotient of
68)6080
Express any remainder beginning with an R.
Please help on the middle!!
Answer: I just points so rate this a 10
Step-by-step explanation:
Answer:
owi4w85e963696w95witote5iw47e
What ia the answer for 4.5 gl to dl
Answer: 45,000,000,000 dl
Step-by-step explanation:
10,000,000,000 dl=1 gl
4.5 gl * 10,000,000,000 dl/1 gl =
4.5 * 10,000,000,000 dl = 45,000,000,000 dl
132891 rounded to the nearest thousand is?
Answer:
132, 900.
Step-by-step explanation:
The 9 is in the tens, so it tells the hundreds to go up by 1 to 9 & add 2 zero's beside. The answer would be 132, 900.
the peremiter of a parallelogram is 56 meters The width of the parallelogram is 4 meters less than its length find the length and the width of the parallelogram
The length of the parallelogram is 16 m and the width of the parallelogram is 12 m.
We are given that the perimeter of a parallelogram is 56 m.
Let the length of the parallelogram be x meter.
So, we get that the width of the parallelogram will be = x - 4 meter.
We also know that:
Perimeter of parallelogram = 2 ( l + b )
Substituting the values in this, we get that:
56 = 2 ( x + x - 4 )
56 = 2 ( 2 x - 4 )
28 = 2 x - 4
2 x - 4 = 28
2 x = 28 + 4
2 x = 32
x = 16
Length = 16 m
Width = 16 - 4 = 12 m
Therefore, the length of the parallelogram is 16 m and the width of the parallelogram is 12 m.
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What is the slope or pitch of this roof? 12 feet run rise 3 feet
Math 1332
Answer:
3/12 or 1/4 in simplest fraction form
Step-by-step explanation:
Slope is given by the formula rise/run
Here rise = 3, run = 12
So slope = 3/12 = 1/4
whats the meaning of literature
Answer:
literature most commonly refers to works of the creative imagination, including poetry, drama, fiction, nonfiction, and in some instances, journalism, and song.
If the sum of a number and two is tripled, the result is five less than twice the number . Find the number
If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11
Let the given number be x,
the number, x is added with 2 and then it is tripled which means (x + 2)*3 is equal to five less than two times of that number which is 2x - 5
3(x + 2) = 2x - 5
3x + 6 = 2x - 5
3x - 2x = - 5 + (-6)
x = - 11
Therefore, If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11
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Please help find the range
Answer:
Any Nber between 0-58 or 1-59
Step-by-step explanation:
Well you are already given the range which is 58. The question is asking for two number that are in the range. The range 58 means it can't be greater than 59. The range is how far apart the great y vaule is from the lowest y vaule.
Hope this helps!
Have any questions? Feel free to ask
8. A fever is generally considered to be a body temperature greater than
100°F. Your friend has a temperature of 37°C. Does your friend have a
fever when the temperature increases by 1°F? 1°C?
The friend doesn't have a fever when the temperature increases by 1°C.
How to convert the temperature?To convert Celcius to Fahrenheit,we have to multiply by 1.8 and add 32°.
This will be:
37°C = (37 × 1.8) + 32
= 98.6
When we add 1°, we will get 99.6.
Therefore, the friend doesn't have a fever when the temperature increases by 1°C.
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Write a linear cost function for the situation. Identify all variables used.
A parking garage charges 3 dollars plus 45 cents per half-hour.
Identify all variables used. Choose the correct answer below.
Part 2 of 2
O A. C(x) represents the number of hours the parking garage was used after paying x dollars.
B. C(x) represents the number of half-hours the parking garage was used after paying x dollars.
C. C(x) represents the cost for using the parking garage for x half-hours.
OD. C(x) represents the cost for parking x cars in the parking garage.
A linear cost function for the situation is C(x) =
(Use integers or decimals for any numbers in the expression.)