Answer:
Error = 1.167 feet
Percentage error = 0.3242%
Step-by-step explanation:
The original length of the soccer field = 120 yards long
Converting to feet
1 yard = 3 feet
120 yards = x
Cross Multiply
x = 120 × 3 feet
x = 360 feet
Measured length:
Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.
We convert 10 inches to feet
1 inch = 0.0833 feet
10 inches = x feet
Cross Multiply
x = 10 × 0.0833 feet
x = 0.833 feet
The measured length = 358 feet + 0.833 feet
= 358.833 feet
The Error is calculated as:
|Measured length - Original Length)
= 360 feet - 358.833 feet
= 1.167 feet
Percentage Error
= Error/Original Length × 100
= 1.167/360 × 100
= 0.3241666667%
Approximately = 0.3242%
what is the answer i need help with this
Answer:
quadratic
Step-by-step explanation:
because there is a consistent change within the change
srry it sounds confusing but trust me haha
Evelyn is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour tutoring. In a given week, she can work a maximum of 15 total hours and must earn no less than $200. If Evelyn worked 8 hours lifeguarding, determine the maximum number of whole hours tutoring that she can work and still meet her requirements. If there are no possible solutions, submit an empty answer.
Answer:
Evelyn can work a maximum of [tex]7[/tex] hours tutoring.
Step-by-step explanation:
Evelyn earns [tex]\$\: 18[/tex] per hour lifeguarding and she worked [tex]8[/tex] hours lifeguarding.
So, total money earned by lifeguarding [tex]=\$\: 18\times 8=\$\:144[/tex].
She must earn no less than [tex]\$\:200[/tex].
So, money left to earn [tex]=\$\: 200-\$\:144=\$\:56[/tex].
Evelyn worked [tex]8[/tex] hours lifeguarding. She can work a maximum of [tex]15[/tex] total hours. So, she can work [tex]15-8=7[/tex] hours.
Evelyn earns [tex]\$\: 11[/tex] per hour tutoring.
So, total money earned by tutoring [tex]=\$\: 11\times 7=\$\:77[/tex].
Therefore, the total money earned [tex]=\$ \:144+\$\:77=\$\:221[/tex].
Hence, Evelyn can work a maximum of [tex]7[/tex] hours tutoring.
Answer:
The answer would be 7 hours tutoring. :)
Step-by-step explanation:
pls help no need for long explanations just a quick summary
Step-by-step explanation:
Angle FAB = Angle BHC = 48° (Z-angles)
By Exterior Angle Theorem,
Angle ABC = Angle BHC + Angle ECB.
=> Angle ABC = 48° + 18° = 66°.
What is the solution to the system of equations?
Use the linear combination method.
{2x−3y=93x+5y=4
Answer:
fffffffffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
Answer:
(3,-1)
I took the test, it said it was right.
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
Bags of flour come in 3 sizes:
Small bag: A 500 g bag costs 90p.
Medium bag: A 2 kg bag costs £3.40.
Large bag: A 4 kg bag costs £7.60.
Calculate the cost of 2 kg for the small and large bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.
Answer:
Ik where u got this q from but:
small bag is £3.60
large is $3.80
Step-by-step explanation:
the 500 grams x 4 to get 2kg then do 90p x 4
then
4kg divided by 2 to get 2kg as the question states, then do £7.60/2
hegarty maths anyone?
If g(x)= x^2 - 7x Find g(y-8)
Answer:
The answer is y² - 23y + 120.
Step-by-step explanation:
The steps to do :
g(x) = x² - 7x
g(y - 8) = (y - 8)² - 7(y - 8)
g(y - 8) = y² - 16x + 64 - 7y + 56
g(y - 8) = y² - 23y + 120
g(y-8) is equal to the quadratic expression y² - 23y + 120.
To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.
Replacing x with y-8, the function becomes:
g(y-8) = (y-8)² - 7(y-8)
To simplify, we expand and simplify the expression:
(y-8)² = (y-8)(y-8) = y² - 16y + 64
-7(y-8) = -7y + 56
Combining the terms, we have:
g(y-8) = y² - 16y + 64 - 7y + 56
Simplifying further:
g(y-8) = y² - 23y + 120
Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.
By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ6
Find the unknown side length. Write your answer in simplest radical form.
Answer: 1. x= 20 units, 2. x= [tex]5\sqrt{3}[/tex] units 3. x= [tex]4\sqrt{2}[/tex] units.
Step-by-step explanation:
In a right triangle,
[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex] (Pythagoras theorem)
1. Hypotenuse = x , Base = 16, Perpendicular = 12
[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]
2. Hypotenuse = 14 , Base = 11, Perpendicular = x
[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]
3. Hypotenuse = 9 , Base = x, Perpendicular =7
[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]
Which of the following rational functions is graphed below?
Answer:
there is no attached file
Step-by-step explanation:
Need a little help with this.
Answer:
a.) not like terms
b.) not like terms
c.) like terms ; 14 yards
Step-by-step explanation:
O is the centre of the circle. AB is a diameter.
Calculate the values of a and b. Please help i cant understand it, i’ll give the brainliest for the person who answers correctly
Answer:
The value of a is 63° and the value of b is 27°
Step-by-step explanation:
In the given figure
∵ OA, OB, and OC are radii of the circle O
→ The radii of a circle are equal
∴ OA = OB = OC
In Δ AOC
∵ OA = OC
∴ Δ AOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OAC and ∠OCA are the base angles of the triangle
∴ m∠OAC = m∠OCA
∵ m∠OAC = a°
∴ m∠OCA = a°
→ The sum of angles in any triangle is 180°
∵ a° + a° + m∠AOC = 180°
∵ m∠AOC = 54°
∴ a° + a° + 54 = 180°
→ Add the like terms
∴ 2a° + 54 = 180°
→ Subtract 54 from both sides
∴ 2a° = 126°
→ Divide both sides by 2
∵ m∠OAC = m∠OCA = 126 ÷ 2
∴ a° = 63
∴ The value of a is 63°
In ΔBOC
∵ OB = OC
∴ Δ BOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OBC and ∠OCB are the base angles of the triangle
∴ m∠OBC = m∠OCB
∵ m∠OBC = b°
∴ m∠OCB = b°
∵ ∠AOC is an exterior angle of ΔBOC at the vertex O
→ The measure of the exterior angle equals the sum of the measure
of the opposite interior angles to this vertex
∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC
∴ m∠OBC + m∠OCB = m∠AOC
→ Substitute their measures
∵ b° + b° = 54°
→ Add the like terms
∴ 2b° = 54
→ Divide both sides by 2
∴ b° = 27
∴ The value of b is 27°
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answer: 9:4
Step-by-step explanation:
I think
the table shows the relationship between the number of CDs and their cost at the flea market. Which equation shows the same relationship?
Answer:
probably 2.5/d
Step-by-step explanation:
my mathematical teacher
a. About how much does a textbook weigh? b. About how much does a car weigh? c. About how much does a mosquito weigh? d. About how long is a textbook? e. About how long is a car?
Answer:
a. About 0.907185 kg to 2.72155 kg
b. About 1857 kg
c. About 0.005 g
d. About 0.75 feet
e. About 15 to 16 feet
Step-by-step explanation:
These are all estimated measurements and may vary across different regions and jurisdictions.
Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
8th Grade Math Homework Thursday, January 28th
Simplify. Combine like terms.
1. 12y - 18y
2. 4(y + 5)
3. 3x + 6y - 9x + 4
4. 6(x - 9) + 10 - 3x
5. Is 4 a solution of 5(2 - x) = -10? Show work to justify your answer.
Solve and check the following equations. Show all steps.
6. 4x + 20 = 0
7. 5x - 3 = 2x - 27
8. 6x - 8 = 2x + 16
9. 12 - 3x = 22 + 2x
10. x + 7x - 12 = -20
11. 7x+4 - 13x = -1 + 23
help! will give brainliest
Answer:
A
Step-by-step explanation:
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex] → A
determnine if each table shown below represents a function or not.
Answer:
Table 1 does not represent a function.
Table 2 does not represent a function.
Step-by-step explanation:
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, table 1 does not represent a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 1 15 10 23 30
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, table 2 does not represent a function.
Conclusion:
We have concluded that both tables do not represent the function.
I can do your homework for you
Answer:
thanks for the free points
Step-by-step explanation:
Answer:
can u answer these ones
Step-by-step explanation:
3. Kate's "Dining Card" entitles her to $10 off the price of a meal after a 15% tip has been added to the
cost of the meal. If, after the discount, the bill is $32.55, how much did the meal originally cost?
help meeeeee need it nowww
PLEASE I BEG OF YOU PLEASE HELP ME PLEASEE
Answer:
hmmm this is too hard for me.
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
A faucet fills 1/3 of a water cooler in 1/12 of an hour At this rate how long does it take the faucet to fill the cooler completely
Answer:
[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]
Step-by-step explanation:
If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.
I am painting my wall that measures 32 feet by 9 feet. If a gallon of paint covers 150 sq. ft, how many gallons will I need to paint my wall?
Answer:
2
Step-by-step explanation:
To find out how big the wall is you do 32 times 9 which equals 288.
2 gallons of paint covers 300 feet. You will have left over but that is ok.
PLS HELP MEEEEEE ( I don’t need to know the first one )
Answer:
k=27
Step-by-step explanation:
Answer:
direct variation is y = kx
k is the slope of the line y = mx + b
i don't know that last one, sorry
Step-by-step explanation:
A number h added to -3 is at most 3.4
What is the recursive formula of the arithmetic sequence 0,11,22,33,
Answer:
f(1)=0
f(x+1)=f(x)+11
I need help with this
If possible draw a line of best fit on the graph.
Where possible estimate the value of p on the line of best fit
where s= 10.
3.
S
2
14
14
4
12
18
12
6
5
15
р
16
6
18
12
13
7
Answer:
format is wrone
i will answer then
Step-by-step explanation:
Graph the system of linear inequalities.
y > 3x + 2
y ≤ 3x − 4
[tex]y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }[/tex]
Sorry that's all i know
that is in my answer#carryonlearning:-D