The average distance is 300 yards
How to determine the average distance?The ratio is given as:
Driver : 2-iron = 5 : 4
When the iron driver is 240 yards, we have:
Driver : 240 = 5 : 4
Express as fraction
Driver/240 = 5/4
Multiply both sides by 240
Driver= 300
Hence, the average distance is 300 yards
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Interest: Tutorial
Question
Calculate the interest earned on each simple-interest account given the original principal, annual interest rate, and the length
of time the account was held. Match each amount to the corresponding account description.
Drag each tile to the correct box. Not all tiles will be used.
Tiles
$41.85
$55.80
$36.24
$45.45
$48.00
$46.35
Pairs
$500 at 3.2% for 3 years
$450 at 3.1% for 4 years
$515 at 3% for 3 years
Answer:
$48.00$55.80$46.35Step-by-step explanation:
In each case, the answer is the product of the three given numbers.
i = Prt
a) $500×0.032×3 = $48.00
b) $450×0.031×4 = $55.80
c) $515×0.03×3 = $46.35
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
The sum of the given series can be found by simplification of the number
of terms in the series.
A is approximately 2020.022Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
[tex]\displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}[/tex]The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
[tex]\displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}[/tex]Therefore, for the last term we have;
[tex]\displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}[/tex]2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020
[tex]\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}[/tex]
[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)[/tex]
Which gives;
[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)[/tex]
[tex]\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}[/tex]
A ≈ 2020.022Learn more about the sum of a series here:
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A is equal to 1,685.00049.
Given that A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021, the following calculation must be performed to determine the result of this operation:
337/2 = 168.5 1011/10 = 101.1 337/5 = 67.4 1/2021 = 0.00049 1011 + 337 + 168.5 + 101.1 + 67.4 + 0.00049 = A 1685.00049 = A
Therefore, A is equal to 1,685.00049.
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on tuesday a local a hamburger shop sold a combined total of 448 hamburgers and cheeseburgers , the number of cheeseburgers sold was three times the number of hamburgers sold how many hamburgers were sold on tuesday ?
Brent buys a dinning table that costs $150 before tax. The sales tax is 8% . How much tax did he pay?
Answer:
12
Step-by-step explanation:
its just twelve beliebe me
I need help understanding this
Step-by-step explanation:
I am sorry but I cannot see your question
given that a/b = 2/3 and b/c = 3/7 find A:B:C
Answer:
2:3:7
Step-by-step explanation:
a/b = 2/3
That gives us a clue that a=2 and b=3
But to make sure it states b/c = 3/7
So A:B:C is
2:3:7
Hope this helps!
Question 1
A number, w, is located to the left of 5 on the number line.
Which inequality represents this situation?
A
W> 5
B
w < 5
с
w > -5
D
w < -5
What is 4/5 - 1/4 in the simplest form
[tex]\cfrac{\underline{4}}{5}-\cfrac{1}{4}\implies \cfrac{(4)(\underline{4})~~ - ~~(5)(1)}{\underset{\textit{using this LCD}}{20}}\implies \cfrac{16-5}{20}\implies \cfrac{11}{20}[/tex]
Find the area and perimeter of a square whose side length is
2x+3
Answer:
Area = 4x^2 + 12x + 9
Perimeter = 8x + 12
Step-by-step explanation:
How do u do these percentages questions
Answer:
Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...
Carry out a mathematical process on the number to be converted to a percentage. ...
Multiply the result of the mathematical process by 100. ...
Find the percentage of the original or real number. ...
Multiply the final number by 100.
Which fractions are equivalent to the fraction below. 20/32
Answer:
5/8
Step-by-step explanation:
The answer is 5/8 because 4*5 equals 20 and 4*8 equals 32. Therefore, you have to do the same thing you do to the numerator to the denominator. In addition, you I divided 20 by 4 which is 5 and 32 divided by 4 is 8. So, it is 5/8.
Which of the following situations can be modeled by the expression 5 - (-3)?
Kylie is three years younger than Tyler, and Claire is five years older than Kylie. How many years separate Tyler and Claire?
Kylie is three years younger than Tyler, and Claire is five years older than Tyler. How many years separate Kylie and Claire?
None of the above.
Kylie is three years younger than Tyler, and Claire is five years younger than Tyler. How many years separate Kylie and Claire?
Answer:the first option
Step-by-step explanation:
What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number
Answer:d=18FT
Step-by-step explanation:
YOUR WELCOM :)
At a school 60% of students buy a school lunch. Only 10% of students buy lunch and dessert. What is the probability that a student who buys lunch also buys dessert?
Answer:
1/6
Step-by-step explanation:
P(A) = probability a student buys lunch = 60% = 0.6
P(B) = probability a student buys lunch and dessert = 10% = 0.1
We are looking at the probability that a student buys lunch and dessert on the condition that they already bought lunch. Therefore, we are looking at a conditional probability.
P(B given A) = P(A and B) / P(A)
= 0.1 / 0.6
= 1/6 ≈ 0.167
18/5=t/4 what does t=
Answer:
72/5
Step-by-step explanation:
18/5 x4 = t/4 x4
(18x4)/5 = t
t = 72/5
True or false
Plz help
[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]
ANSWER : true
ok done. Thank to me :>
Answer:
True
Step-by-step explanation:
[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]
A shirt costing $34 is on sale for 30% off. What is the new price of the shirt after the discount?
Answer:
$23.80
Step-by-step explanation:
30% off means we take 30% off of the original price, or we calculate
(1-30%)=70% of the shirt's price
34*70%=23.8
what is 70*77 please help
Part 1: Nouns
Directions: Write the plural form of each noun.
1. child
2. friend
3. baby
4. lunch
5. bike
Children
Friends
Babies
Lunches
Bikes
Which ones colder?
-5 degrees Celsius or
-10 degrees Celsius
Answer:
-10 degrees Celsius
Step-by-step explanation:
The more negative a temperature in degrees Celsius is, the colder it is.
ratio
a. L
b. bozo
d. your life is bad
c. ratio again
Answer:
d
Step-by-step explanation:
how many
edges does a polyhedron with 8
faces and 12 vertices have?
Answer:
Edges = 18
Step-by-step explanation:
We know that
v - e + f = 2
Where,
v = vertices
e = edge
f = faces
So,
12 - e + 8 = 2
20 - e = 2
20 - 2 = e
18 = e
Answer:
18 edges
Step-by-step explanation:
As said in the answer before it is 18. The equation used to find the answer is the Euler's Formula : F+V=E+2. Where F is faces, V is vertices, and E is edges. If given the F and V then all you have to do is add them together and subtract 2. Toodles ;)
PS: ACELLUS SUCKS
use the quadratic formula to solve 4x²-9x=2x²-2x-4
[tex]4x^2-9x = 2x^2 -2x -4\\\\\implies 4x^2 -9x -2x ^2 +2x +4 =0\\\\\implies 2x^2 -7x +4=0\\\\\text{Apply quadratic formula,}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case,} ~a =2, b = -7 ~ \text{and}~ c =4\\\\\\x =\dfrac{-(-7) \pm \sqrt{(-7)^2 - 4 \cdot 2 \cdot 4}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{17}}4\\\\\\\text{Hence,}~ x = \dfrac{7 +\sqrt{17}}4~ \text{and}~x = \dfrac{7 -\sqrt{17}}4[/tex]
using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11
On a number line, where would be located?
he school that Tony goes to is selling tickets to a play. On the first day of ticket sales the school
sold 9 adult tickets and 8 student tickets for a total of $164. The school took in $73 on the second
day by selling 2 adult tickets and 7 student tickets.
What is the price each of one adult ticket?
What is the price each of one student ticket?
Plz explain how to do this
Answer:
The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars
Step-by-step explanation:
Make a system of equations for the two days that the play was shown.
Let x = the price of an adult ticket
Let y = the price of a student ticket
For the first day:
9x+8y=164For the second day:
2x+7y=73Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.
18x+63y= 657-18x+16y= 3280x+ 47y= 329divide both sides by 47y = 7Plug in 7 for y for the 2nd equation2x+7(7)=732x+49=73subtract 49 from both sides2x= 24divide both sides by 2x = 12 Check:2(12)+7(7)=7324+49= 73!Answer: And I don’t know math
Step-by-step explanation:
At the end of the year, company A paid a dividend of 3,000 VND/share. Speed
constant annual dividend growth of 5%.
The current selling price of stock A is VND 60,000/share.
Definition of cost of common equity
Answer:
all u do is take 3000×5%=150
Which graph represents a linear function? (4 points)
A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.
Answer:
The second option
Step-by-step explanation:
Linear means a straight line.
Choices 1, 2, and 4 are wrong because they are either a parabola or wavy, and by definition of both of these terms, they are not straight and are therefore not linear.
After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.
Answer:
43.86
Step-by-step explanation:
that's da awnserrr
3. Let Angle ABC be an isosceles triangle with AB = AC. Which of the following describes
LB of the triangle?
A. Exterior Angle
B. Base Angle
C. Vertex Angle
D. Remote Interior Angle
Will mark Brainiest