Dan is cutting 4.75-foot lengths of twine from a 249-foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answers
To show that Dan's statement is reasonable, we can set up an equation to represent the situation. Let's let x represent the number of feet of twine that Dan has cut.
We can then set up the following equation: \(4.75x = 249 - 40.5\)
Solving for x, we find that x = 42. This means that Dan has cut 42 lengths of twine, which is what he said he would do.
Since the number of lengths of twine that Dan has cut and the amount of twine that will remain match what Dan said, his statement is reasonable.
Related Questions
A coach calculated the mean and the mode of the number of points scored by 6 players.
• mean: 7 points
mode: 8 points
How many points did player 5 score?
Answers
Because 8+8+8+6+7+5=42
Then divide that by 6 to get the mean - so 42/6=7 so that’s the correct mean
Explanation:
Mean = average
Equation: total points scored/total players
Mean=7+8+6+8+?+8/6
The mean is given: 7
So plug it in:
7=(7+8+6+8+?+8)/6
Factor to solve:
Add all the numbers together to leave just the missing number (?)
7=(37+?)/6
To get rid of the 6 multiply it over to the other side
6x7=37+?
42=37+?
Now subtract the 37 to the other side to find the missing number (?)
42-37=?
5=?
Now let’s check:
7+8+6+8+(5)+8=42
Add:
42
Now divide by 6
42/6=
7
Is 7 the mean they gave us? Yup!
So player 5 scored 5 points
Guys I need help can u guys please answer these? I don’t know what to put.
Answers
Based on the information, we can infer that celebrity quotes include percentages to give their words more credibility.
What do celebrity quotes mean?To identify the meaning of famous quotes we must read them carefully and identify the key words to know the deep meaning of these sentences. According to the above, the meaning would be:
The first means that geniuses work harder than people think because their genius is generally related to their creativity. However, he points out that it is 99% work.
The second means that to be successful you have to fail many times. In this case, it refers to the fact that success is made up of 99% of failed attempts and the 100th attempt is the one that is successful.
The third refers to the fact that if we do not try to carry out a challenging activity, we are losing 100% of the possibilities of achieving it. On the contrary, if we try at least we will learn to do it.
The fourth refers to the fact that sometimes people exceed their capacity to carry out an action and that extra 10% is what allows them to make a difference.
Note: This question is incomplete. Here is the complete information:
Attached image
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Can any one give me the answer????? Please
Answers
The domain of the notation \(s(x) = \sum\limits^{\infty}_{n=1} n^{-x}\) is the set of all real values
How to determine the domain?The sum notation is given as:
\(s(x) = \sum\limits^{\infty}_{n=1} n^{-x}\)
From the above notation, the smallest value of n is 1.
This means that the variable x can take any real value as it value
Hence, the domain of the notation \(s(x) = \sum\limits^{\infty}_{n=1} n^{-x}\) is the set of all real values
Read more about domain at:
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a 5 year loan with 5.5% simple interest? Find the total amount paid, interest paid, and the monthly payment.
Answers
To calculate the total amount paid, interest paid, and monthly payment for a 5-year loan with 5.5% simple interest, we need to know the principal amount of the loan. Let's assume the principal amount is $10,000.
Total amount paid = Principal + Interest
Total amount paid = $10,000 + Interest
To calculate the interest, we can use the formula:
Interest = Principal x Rate x Time
Where Rate is the interest rate per year and Time is the time period in years.
Interest = $10,000 x 0.055 x 5
Interest = $2,750
So the total amount paid would be:
Total amount paid = $10,000 + $2,750
Total amount paid = $12,750
To calculate the monthly payment, we can use the formula:
Monthly payment = Total amount paid / Number of months
Where Number of months is the total number of months in the loan term.
Number of months = 5 years x 12 months/year
Number of months = 60 months
Monthly payment = $12,750 / 60
Monthly payment = $212.50
Therefore, the total amount paid is $12,750, the interest paid is $2,750, and the monthly payment is $212.50.
Answer:
Step-by-step explanation:
i had that one its really hard
In a pile of playing cards, there are six hearts, twelve clubs, and six diamonds. What is the probability that you will draw a heart?
1/2
1/6
1/4
1/3
Answers
Answer:
Step-by-step explanation:
1/4 because all equal 24 together
and so
12 is half so pulling a club would be 1/2
6 is a fourth so pulling a diamond or heart would be 1/4
because 6x2=12 so pulling a diamond or heart would be 50 - 50 from pulling a heart/diamond or a club
6=cards
2=diamonds and hearts
The probability of drawing a heart from the pile of 52 cards is 0.25.
The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.
We know, the probability of an event = Number of favorable outcomes/Total number of outcomes.
As it is given that there are 6 hearts, 12 clubs, and 6 diamonds in a pile of playing cards.
Therefore, the total number of outcomes = 6+12+6= 24
and number of favorable outcomes = 6
Now, the probability of an event = 6/24
= 1/4
= 0.25
Therefore, the probability of drawing a heart is 0.25.
To learn more about the probability, visit:
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What is the length of the side labeled x ?
Answers:
A. 1
B. 5
C. 18
D. 25
Answers
Hello!
rectangle triangle => Pythagore
13² = 12² + x²
169 = 144 + x²
x² = 169 - 144
x² = 25
√x² = √25
x = 5
Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent, dependent; one inconsistent; one inconsistent; none consistent, dependent; infinite Question 2: Classify the system of equations and identify the number of solutions. 3x + y = 4 12x + 4y = 16 Answers: consistent, independent; one inconsistent; none consistent, dependent; one consistent, dependent; infinite Question 3: John and Harry went to a stationery shop. John bought 3 pens and 8 notebooks for $20.50. Harry bought 4 pens and 5 notebooks for $16.00. Identify the cost of a pen and the cost of a notebook. Answers: pen: $1.00; notebook: $2.50 pen: $2.00; notebook: $1.50 pen: $1.50; notebook: $2.00 pen: $2.00; notebook: $3.00
Answers
Answer:
1. The equations is inconsistent and has no solution
2. The equations is consistent and has no solution
3. A pen costs $1.50 and a notebook costs $2.00
Step-by-step explanation:
Solving \(7x + 3y = 10\) and \(3y = 9 - 7x\)
\(7x + 3y = 10\) --- Equation 1
\(3y = 9 - 7x\) --- Equation 2
Add 7x to both sides in equation 2
\(7x + 3y = 9 - 7x + 7x\)
\(7x + 3y = 9\) --- Equation 3
Subtract equation 3 from 1
\((7x + 3y = 10) - (7x + 3y = 9)\)
\(7x - 7x + 3y - 3y = 10 - 9\)
\(0 + 0 = 1\)
\(0 \neq 1\)
The equations is inconsistent and has no solution
Solving \(3x + y = 4\) and \(12x + 4y = 16\)
\(3x + y = 4\) -- Equation 1
\(12x + 4y = 16\) ---- Equation 2
Make y the subject of formula in equation 1
\(y = 4 - 3x\)
Substitute 4 - 3x for y in equation 2
\(12x + 4(4 - 3x) = 16\)
\(12x + 16 - 12x = 16\)
Collect Like Terms
\(12x - 12x = 16 - 16\)
\(0 = 0\)
The equations is consistent and has no solution
3. Solving John and Harry
Given;
Represent Pen with P and Notes with N
John: \(3P + 8N = 20.5\)
Harry: \(4P + 5N = 16.00\)
Required
Find P and N
Make P the subject of formula in equation 2
\(4P = 16 - 5N\)
\(P = \frac{16 - 5N}{4}\)
Substitute \(P = \frac{16 - 5N}{4}\) in equation 1
\(3P + 8N = 20.5\)
\(3(\frac{16 - 5N}{4}) + 8N = 20.5\)
Open the bracket
\(\frac{48 - 15N}{4} + 8N = 20.5\)
Take LCM
\(\frac{48 - 15N + 32N}{4} = 20.5\)
\(\frac{48 + 17N}{4} = 20.5\)
Multiply both sides by 4
\(4 * \frac{48 + 17N}{4} = 20.5 * 4\)
\(48 + 17N = 82\)
Subtract 48 from both sides
\(48 - 48 + 17N = 82 - 48\)
\(17N = 82 - 48\)
\(17N = 34\)
Divide both sides by 17
\(17N/17 = 34/17\)
\(N = 34/17\)
\(N = 2\)
Substitute 2 for N in \(P = \frac{16 - 5N}{4}\)
\(P = \frac{16 - 5 * 2}{4}\)
\(P = \frac{16 - 10}{4}\)
\(P = \frac{6}{4}\)
\(P = 1.5\)
Hence, a pen costs $1.50 and a notebook costs $2.00
Please Hurry. I need this answer quickly please.
Answers
Answer:63
Step-by-step explanation:
multiply 72 by 7 then divide i by 8
(72×7)/8
=63
It's 63.
simplify the equation 7/8×72 multiple 7×9 solution is 63
How do you find an adjacent angle?
Answers
Step-by-step explanation:
If two angles share one side and both derive from the same corner (vertex) point, then they are adjacent angles.
Brainliest scattered plots and ignore what it says on 7 and 8
Answers
I REALLY need help with this homework!
(For the 2nd screenshot, the options for the blanks are:
interior angles of a triangle,
vertical angles,
complementary angles,
and supplementary angles)
Answers
Answer:
photo 1: D. a + b = 180
photo 2:
a. interior angles of a triangle
b. vertical angles
c. complementary angles
d. supplementary angles
photo 3:
a. 82
b. 82
photo 4:
a. 51
b. 129
photo 5: x = 60
Step-by-step explanation:
The interior angles of a triangle are the angles that are inside the triangle and are formed by the intersection of two sides of the triangle. In a triangle, there are always three interior angles.
The sum of the interior angles of a triangle is always 180 degrees. This is because the interior angles of a triangle are supplementary, meaning that they add up to 180 degrees.
Vertical angles are two angles that are opposite each other and are formed by two intersecting lines. The lines that intersect to form the vertical angles are called "arms" of the angles.
Vertical angles are always congruent, which means that they have the same measure
Complementary angles are two angles whose measures add up to 90 degrees. In other words, if two angles are complementary, then one angle is the complement of the other.
Supplementary angles are two angles whose measures add up to 180 degrees. In other words, if two angles are supplementary, then one angle is the supplement of the other.
Emmett deposited $90 in an account earning 4% interest compounded annually.
To the nearest cent, how much INTEREST will he earn after two years? (Hint: You are finding the interest, not the total amount in the account.)
Responses
$7.34
$97.34
$10.34
$90.00
Answers
Answer:
7.34
Step-by-step explanation:
Is your math teacher in K12 Mrs Stucker?
Kylie's at loves to play with toys made of yarn, so she decided to make some for She has a piece of yarn that is 5.7 meters in length and cuts it into two pieces. Kylie cuts up one of the pieces into 45 smaller pieces that are 0.08 meters long. She is going to cut up the other piece into smaller pieces that are 0.12 meters long. How much yarn will be left, in meters, after she cuts as many 0.12 meter long pieces as she can.
Answers
Answer:
.75 meters
Step-by-step explanation:
A cylindrical cake is made in a pan that has a diameter of 10
inches and a height of 2 inches. What is the total surface
area of the icing on the cake?
Answers
141.37 square inches
Answer:
about 141.4 square inches
Step-by-step explanation:
You want the area of icing on a cake that is 10 inches in diameter and 2 inches high.
IcingThe icing on a cake covers the lateral surface area and the area of the circular top. In terms of diameter, the sum of those areas is ...
icing area = πdh +(π/4)d² = πd(h +d/4)
icing area = π(10 in)(2 in + (10 in)/4) = π(10 in)(4.5 in)
icing area = 45π in² ≈ 141.4 in²
The area of icing on the cake is about 141.4 square inches.
__
Additional comment
If you use 3.14 for π, you get 141.3 square inches.
The attachment shows the "pi button" value. We have rounded to tenths, The full precision result is given so you can round to your checker's requirements.
<95141404393>
FOR # 13-#14: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100.
13. Write the inequality and solve the inequality for the number of sales you need to make.
14. Graph your inequality from #13 on a number line.
15. For n(34-n) <111, check whether n = -3 is a solution.
SOLUTION? (Yes or No)______
Answers
Answer:
13) x ≥ 50/3
14) see attached graph
15) Yes
Step-by-step explanation:
The equation relating the number of sales and pay is given by
y = 50 + 3x where x is the number of sales.
Q 13
If you need your pay to be exactly 100 then the above equation translates to 50 + 3x = 100
If you want the sales to be at least 100 then the above equation becomes an inequality 50 + 3x ≥ 100
We can re-write this as x ≥ 50/3
Q 14
See attached graph
x = 50/3 is a vertical line passing intersecting the x axis at x = 50/3(16.67)
All values of x ≥ 16.67 forms the region for the inequality
Q 15
Substitute -3 for n in the equation n(34-n) and check whether it satisfies the inequality
(-3)(34 - (-3)) = (-3)(37) is a negative number. (You don't actually have to calculate it but it works out to -111. ) Therefore it satisfies the inequality
n(n-34) < 111 Answer: YES
Answer:
13. x ≥ 50/3
14. attached graph
15. Yes
Step-by-step explanation:
In how many ways can a teacher choose 5 out of 13 students?
Step by step if possible pls
Answers
Answer:
infinite(if u want it mathmatically, 0 because 5 and 13 is prime)
Step-by-step explanation:
1. just pick five
2. use a wheel 5/13
3. ask another teacher
4. put them in 4 groups, 3 in each and one group has 4 and tell them to choose a leader.
5. use math
and much more
The data below shows the ratio of brown to green crayons in four kindergarten classrooms.
10 to 18
12 to 23
15 to 35
32 to 64
Which table below correctly shows these ratios in a three-column table?
Brown 18 23 35 64
Green 10 12 15 32
Total 28 35 50 96
Brown 28 12 50 32
Green 18 23 35 64
Total 10 35 15 96
Brown 10 12 15 32
Green 18 35 35 96
Total 28 23 50 64
Brown 10 12 15 32
Green 18 23 35 64
Total 28 35 50 96
Answers
Answer:
d
Step-by-step explanation:
correct answer is:
Brown 10 12 15 32
Green 18 23 35 64
Total 28 35 50 96
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answers
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answers
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards. if they share the job equally, how many square yards of the flower bed will each child need to weed?
(show work)
Answers
Answer: 3 square yards
Step-by-step explanation:
they will each have 3 sq yards because if mathew has 3 siblings that each need an equal amount you would do -
9sq yards is what needs to be split up evenly by 3 children
so i would do
9 divided by 3and with that you would get 3
Answer: 3 square yards
Step-by-step explanation:
If you Divid:
9 ÷ 3=?
You'll get the answer 3
So that's how you get your answer
Help I will give brainliest
Answers
the answer would be 56.52 inches
explanation:
2(3.14)9
18(3.14)
= 56.52
The perimeter of an equilateral triangle is at most 45 centimeters. Find the possible length of each side.
Answers
Answer:
15
Step-by-step explanation:
PLEASE HELP(PIC)
123456789
?=picture posted
Answers
Answer: 45.
Step-by-step explanation: I'm not the greatest at math but I do believe that is the answer.
so i need to drag the tiles and get the answer :)
Answers
Answer:
\( - 2 \frac{3}{5} \div \frac{3}{5} = - \frac{13}{5} \times \frac{5}{3} = - \frac{13}{3} = - 4 \frac{1}{3} \)
\(2 \frac{1}{4} \div \frac{3}{4} = \frac{9}{4} \times \frac{4}{3} = 3\)
\( - \frac{10}{17} \div ( - \frac{15}{17} ) =\)
\( - \frac{10}{17} \times ( - \frac{17}{15} ) = \frac{2}{3} \)
\( 2.75 \div ( - 2.2) = \)
\( 2 \frac{3}{4} \div ( - 2 \frac{1}{5} ) = \)
\( \frac{11}{4} \div ( - \frac{11}{5} ) = \frac{11}{4} \times ( - \frac{5}{11} ) = - \frac{5}{4} = - 1.25\)
3 ⇒ 2 (1/4) / (3/4)
-1.25 ⇒ 2.75 / (-2.2)
2/3 ⇒ (-10/17) / (-15/17)
-4 1/3 ⇒ -2 (3/5) / (3/5)
Hope my answer helps you✌️
Mark BRAINLIEST
A surveyor wants to find the height of a hill. He determines that the angle of elevation to the top of the hill is 50°. He then walks 40
feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°. Find the height of
the hill (round to the nearest foot).
es
Answers
Answer:
The height of the hill is 45 feet .
Step-by-step explanation:
Refer the attached figure
Let AB be the height of hill
We are given that He determines that the angle of elevation to the top of the hill is 50°
So, \(\angle ACB= 50^{\circ}\)
Now He then walks 40 feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°
So, CD=40 feet
BD=BC+CD=BC+40
\(\ADB= 30^{\circ}\)
In ΔACB
\(Tan \theta = \frac{Perpendicular}{Base}\\Tan 50^{\circ} =\frac{AB}{BC}\\1.1917 BC=AB ----1\)
In ΔADB
\(Tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ} =\frac{AB}{BD}\\\frac{1}{\sqrt{3}}=\frac{AB}{BC+40}\\\frac{1}{\sqrt{3}}(BC+40)=AB----2\)
So,equate 1 and 2
\(1.1917 BC=\frac{1}{\sqrt{3}}(BC+40)\\BC=37.59\)
Substitute the value in equation 1
1.1917 (37.59)=AB
44.796=AB
Hence the height of the hill is 45 feet .
Please help me write this inequality from the graph.
Answers
Answer:
y < 1/2x + 8y <
Step-by-step explanation:
y = mx+b
m = slope
b = y - intercept
slope = 1 1/2
y - intercept = 8
Line is dotted so its not equal to
The shade is underneath so its less than.
y < 1/2x + 8
1/3 of 3/4=1/3 of ___ fourth(s)=___ fourth(s)
Answers
The perimeter of the field is 320 m. If the length of a rectangular field is thrice its breadth, then find the area.
Answers
Answer:
40
Step-by-step explanation:
2(l+b)=320 2(x+3x)=320 4x=160 x=160/4 x=40
Answer:
40
Step-by-step explanation:
yall help me again please!
Answers
Answer:
T F F T
Step-by-step explanation:
T - there are no green marbles
F - the majority of the marbles are yellow
F - nothing is for certain there's possibilities to pick the other 2 colours
T - there are few red marbles compared to the total of the others
Answer:
T, F, F, T
Step-by-step explanation:
1. There are no green marbles
2. more than half the marbles are yellow there is a high chance
3. Blue have quite a lot as well
4. there are only 2 red marbles very low chance