Answer:
Algebraic Expression.
Laraine worked 40 regular hours last week, plus 3 overtime hours at the 1.5 rate. Her pay was $476.15. What was her hourly rate?
Answer:
Her hourly rate is $10.7
Step-by-step explanation:
Here, we are interested in calculating Laraine hourly rate.
In the question, we are told that the overtime rate is 1.5 times the regular hours rate.
Now, let the regular hours rate be $x / hour
For a total of 40 hours, the total money made will be 40 * x = $40x
Now let’s look at the overtime;
Since the overtime is 1.5 times the regular and she had 3 overtime hours;
Money obtained from overtime will be 1.5 * x * 3 = $4.5x
Let’s add this to the regular and equate to the total money made;
4.5x + 40x = 476.15
44.5x = 476.15
x = 476.15/44.5
x = 10.7
Answer: b) James has a bicycle. Each wheel has a diameter of 35cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 12 complete revolutions. How far does the bicycle travel? Give your answer in metres. Use π = 3.14, you must show your workings.
The bicycle travels a distance of 13.188 meters (to three decimal places).
What is the distance?
The distance traveled by the bicycle is equal to the distance traveled by one revolution of the front wheel multiplied by the number of revolutions.
The distance traveled by one revolution of the front wheel is equal to the circumference of the wheel, which is given by:
C = πd
where d is the diameter of the wheel. Therefore, the circumference of the front wheel is:
C = π × 35cm
C = 3.14 × 35cm
C = 109.9cm
Now we can calculate the distance traveled by the bicycle:
Distance = Number of revolutions × Distance traveled in one revolution
Distance = 12 × 109.9cm
Distance = 1318.8cm
Finally, we need to convert this distance to meters:
Distance = 1318.8cm ÷ 100
Distance = 13.188m
Therefore, the bicycle travels a distance of 13.188 meters (to three decimal places).
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Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
4 out of the 20 students surveyed said candy was their favorite snack if there were 100 6th graders how many would choose candy
Answer:
20 students
Step-by-step explanation:
if you set a table with 4/20=?/100 then cross multiply and divide giving you 20
Answer:
20 6th Graders choose candy
Step-by-step explanation:
4/20 equals 0.2
so 100 time .2 equals 20
also 4/20 simplified is 1/5
you could mutiply (100 times 1/5 = 20)
Solve the expression:
14. What is 3y +4; when y=2
15. What is 4x + x-10; whenx=6
ASAP pls
Answer:
3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30
ricardo runs 10 miles on saturday. if he doubles his uusual speed, he can run 10 miles in an hour less than his usual time. What is his usual speed
If he runs at his usual speed for 10 miles, it would take him 10/x hours. Ricardo's usual speed is 5 miles per hour.
Let's assume Ricardo's usual speed is "x" miles per hour.
If he runs at his usual speed for 10 miles, it would take him 10/x hours.
If he doubles his usual speed, his new speed would be 2x miles per hour. Running at this speed for 10 miles, he can complete the distance in (10/2x) = (5/x) hours.
According to the given information, he can run 10 miles in an hour less than his usual time. So, we can set up the equation:
10/x = 5/x + 1
To solve this equation, we can multiply both sides by x to eliminate the denominators:
10 = 5 + x
Subtracting 5 from both sides:
x = 5
Therefore, Ricardo's usual speed is 5 miles per hour.
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Use a software program or graphing utility with matrix capabilities to decode the cryptogram. 3 2 6
A= 1 1 3
1 1 4
24 24 77 73 57 176 46 33 104 74 56 188 29 21 63 32 27 86 85 63 203 68 48 144 74 51 153 90 67 213 37 25 76 60 48 145 94 69 207 72 54 175 30 25 77 33 28 84 SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER
To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.
Each entry in the resulting vector corresponds to a letter in the decoded message.
Let's perform the matrix multiplication:
A =
[1 1 3]
[1 1 4]
Column vector: [3, 2, 6]
A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]
The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:
"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"
Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.
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The following TI-84 Plus display presents some sample statistics 1-Var Stats X-67 X-2291 IX=182,361 SX=8 OX=8.024961059 In29 Part 1 of 3 (a) Assume that a histogram of the sample is bell-shaped. Approximately what percentage of the sample values are between 43 and 917 Approximately 68% of the sample values fall between 43 and 91. Part 2 of 3 Part 2 of 3 (b) Assume that a histogram for the sample is bell-shaped. Between what two values will approximately 95% of the sample be? Approximately 95% of the sample values will fall between 4 and 5 Part: 2/3 Part 3 of 3 (c) If we do not assume that the histogram is bell-shaped, at least what percentage of the sample values will be between 51 and 837 At least (Choose one of the sample values fall between 51 and 83 X Part: 2 68% 75% Part 3 of 88.9% 95% (c) If we 93.8% all or almost all At least (Choose one) the histogram is bell-shaped, at least what percentage of the sample values will be between 51 and 837 of the sample values fall between 51 and 83. 5
For Part 2, we cannot determine the specific values between which approximately 95% of the sample will fall. And for Part 3, we cannot determine the exact percentage of sample values between 51 and 837.
From the given information, we can make the following clarifications:
Part 1: Approximately 68% of the sample values fall between 43 and 91.
Part 2: Approximately 95% of the sample values will fall between two values. However, the specific values are not provided in the given information.
Part 3: If we do not assume that the histogram is bell-shaped, it is unclear what percentage of the sample values will be between 51 and 837. The options provided are not clear and do not align with the given information.
Therefore, for Part 2, we cannot determine the specific values between which approximately 95% of the sample will fall. And for Part 3, we cannot determine the exact percentage of sample values between 51 and 837.
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-
Solve the two-step equation.
-9x + 0. 4 = 4
Which operation must be performed to move all the
constants to the right side of the equation?
Then, which operation must be performed to isolate the
variable?
The solution to the equation is x =
please help me asap will give brainliest
Answer:
Step-by-step explanations:
can someone please help me
Answer:
Step-by-step explanation:
correct one is b
The table shows the number of points scored by a basketball team in their first seven games.
Answer:
15
Step-by-step explanation:
the range is the largest number take away the smallest number
56-41=15
Identify the factors of the terms of the expression.
12m − 9n
Answer:
3(4m - 3n)
Step-by-step explanation:
\(12m - 9n\)
\( = 3(4m - 3n)\)
2023 1-100 math challenge answers
here is the first 20 I hope you can read them
Answer: Here is all I got. It isn't all but I hope it helps.
Which phrase represents this expression? 6×(5+2)
A. The total of 5 and 2 is multiplied by 6
B. The product of 6 and the sum of 5 and 2
C. 6 multiplied by the product of 5 and 2
D. 2 more than the product of 6 and 5
please help me if u know <3333
The correct phrase represents the expression 6×(5+2) is B. The product of 6 and the sum of 5 and 2.
Basic Concepts of Mathematical ModelingThe following are some of the benefits obtained when using a mathematical model, namely:
Adds speed, clarity, and power of ideas in a relatively short period of time. The problem description takes center stage. Get an understanding or clarity of the mechanism in the problem. Can be used to predict events that will arise from a phenomenon or its expansion. As a basis for planning and control in policy making, and others.In the given expression, 6×(5+2), the first step is to add 5 and 2, which gives a sum of 7.
Then, the sum of 5 and 2 is multiplied by 6, giving a product of 42.
This is represented by the phrase "The product of 6 and the sum of 5 and 2."
Therefore, the correct answer is B. The product of 6 and the sum of 5 and 2.
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four people (john, paul, george, and ringo) are seated in a row on a bench. the number of ways to order the four people so that john is next to paul is 12. how many ways are there to order the four people on the bench so that john is not next to paul?
The Number of ways that four people can be seated on the bench so that john is not next to paul is 12
Permutations :
In mathematics, An arrangement of things or items in a specific sequence is known as a permutation. One should think about both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important.
The arrangement of n items in r ways is given by
ⁿPr = n! /(n-r)!Here we have
4 people (John, Paul, George, and Ringo) are seated in a row on a bench
Here total No of ways that 4 can be seated = 4 × 3 × 2 × 1 = 24
The number of ways of seating the four people so that john is next to paul is 12
Then the number of ways the four people on the bench so that john is not next to paul can find as given below
= Total No of ways, 4 can be seated - No of ways that john next to paul
= 24 - 12 = 12
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Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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what is the approximate forecast for mar using a four-month moving average? nov. dec. jan. feb. mar. april 39 36 40 42 48 46
The four-month moving average for March is calculated .Therefore, the approximate forecast for March using a four-month moving average is 39.25.
To determine the approximate forecast for March using a four-month moving average, we need to calculate the moving average of the previous four months. The four-month moving average will provide an estimate of future sales based on the average of the previous four months.For the given data, the four-month moving average for March will be calculated as follows:November to February, 4 months, total sales = 39+36+40+42 = 157Moving Average = (November sales + December sales + January sales + February sales) / 4Moving Average = (39 + 36 + 40 + 42) / 4Moving Average = 39.25Therefore, the approximate forecast for March using a four-month moving average is 39.25.
So, we can say that the approximate forecast for March using a four-month moving average is 39.25. The four-month moving average is an effective tool for forecasting that is used in economics and finance. It provides an accurate estimate of future sales and helps in decision-making.
The four-month moving average is widely used in forecasting because it smooths out the fluctuations in sales and provides a clear picture of trends.
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Carlos has a box of coins that he uses when playing poker
with friends. The box currently contains 44 coins,
consisting of pennies, dimes, and quarters. The number of
pennies is equal to the number of dimes, and the total
value is $3.59. How many of each denomination of coin
does he have?
Answer: hello person.
This is a system of equations problem that can be solved using substitution.
Let x be the number of pennies
Therefore the number of dimes is also x.
The number of quarters is 44 - 2x
The total value of the pennies is x * 0.01 = $0.01x
The total value of the dimes is x * 0.1 = $0.1x
The total value of the quarters is (44 - 2x) * 0.25 = $11 - 0.5x
Now we know that the total value is $0.01x + $0.1x + $11 - 0.5x = $3.59
So we can write the equation:
0.01x + 0.1x + 11 - 0.5x = 3.59
Now we can solve for x
0.6x + 11 = 3.59
0.6x = -7.41
x = -12.35
We know that x is the number of pennies and dimes. Since it is not a whole number, it is not possible.
We can think of another approach, assuming that x is the number of dimes and pennies, and y is the number of quarters.
x + y = 44
0.1x + 0.25y = 3.59
Now we can solve for x and y by substitution method.
x = 44 - y
0.1(44 - y) + 0.25y = 3.59
4.4 - 0.1y + 0.25y = 3.59
4.4 = 0.35y + 3.59
0.81 = 0.35y
y = 2.3
x = 44 - 2.3 = 41.7
We know that x and y must be whole numbers. Since x and y are not whole numbers it is not possible.
Hence, there is no possible number of coins for Carlos to have for the given scenario.
Step-by-step explanation:
3 1/3 x 3 =??
Not quite understanding
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10
y = 1,000x is that a constant proportionality
HELP THANKS XD I DONT FEEL LIKE LOOKING THIS UP 56 x 32 =
Answer:
Well, this took me a long time...the answer is 1792
Explanation:
I just need to keep adding and adding 56 FOR 32 TIMES!!!!!!
Please brainiest!
Answer:
The correct answer is 1,792
Step-by-step explanation:
Hope this helps
If PQRS is a kite, find m angle Q
Answer:
Q = 35
Step-by-step explanation:
1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180
2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147
+-33 +-33
__________
17x = 147/17=21
/17 /17
3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145
4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35
Q= 35
Step-by-step explanation:
7x + 2 = 10x - 31
33 = 3x
x = 11
so, 7x + 2 = 7( 11 ) +2 = 79°
10x - 31 = 10( 11 ) - 31 = 79°
ΔP + ΔQ + ΔR + ΔS = 360°
79° + ΔQ + 79° + 124° = 360°
ΔQ + 282° = 360°
ΔQ = 360° - 282°
ΔQ = 78°
( multiple choice)What is the percent error in this scenario to the nearest tenth of a percent? The actual temperature was 65 °, but Tom read 69° on his thermometer.
A: 6.2%
B: 12%
C: 93.8%
D: 300%
Answer:
I got c
Step-by-step explanation:
sorry if im wrong!
Answer:
I got C or B
Step-by-step explanation:
Not sure, Im not great at this stuff
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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7. A shopkeeper sold a pen set for 180 at a profit of 30. To make a profit of 26%, what should be the selling price of the pen set? 1otor
\(\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}\)
\(selling \: price \: of \: pen = 180 \: rs \\ profit = 30 \: rs \\ cost \: price = selling \: price - profit \\ = > 180 - 30 \\ = > 150 \: rs\)———————————required profit = 26%so ,
\(new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs\)
———————————thuѕ, thє nєw ѕєllíng prícє σf pєn ѕєt wíll вє rѕ. 189hσpє hєlpful~
Based on the information given the selling price of the pen set is $189.
Using this formula
Selling price=Selling price of pen+(Profit percentage× Selling price of pen)
Let plug in the formula
Selling Price=$150 +( 26% ×$150)
Selling Price=$150 +$39
Selling Price=$189
Inconclusion the selling price of the pen set is $189.
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At a local Brownsville play production, 420 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $3920. If the combined number of $8 and $10 priced tickets sold was 5 times the number of $12 tickets sold, how many tickets of each type were sold?
Answer:
Number of $ 8 priced tickets = 210
Number of $10 priced tickets = 140
Number of $ 12 priced tickets = 70
Step-by-step explanation:
Framing and solving equations with three variables:
Let the number of $ 8 priced tickets = x
Let the number of $10 priced tickets = y
Let the number of $ 12 priced tickets = z
Total number of tickets = 420
x + y + z = 420 --------------(i)
Total income = $ 3920
8x + 10y + 12z = 3920 ----------------(ii)
Combined number of $8 and $10 priced tickets= 5 * the number of $12 priced tickets
x + y = 5z
x + y - 5z = 0 -------------------(iii)
(i) x + y + z = 420
(iii) x + y - 5z = 0
- - + + {Subtract (iii) from (i)}
6z = 420
z = 420÷ 6
\(\sf \boxed{\bf z = 70}\)
(ii) 8x + 10y + 12z = 3920
(iii)*8 8x + 8y - 40z = 0
- - + - {Now subtract}
2y + 52z = 3920 -----------------(iv)
Substitute z = 70 in the above equation and we will get the value of 'y',
2y + 52*70 = 3920
2y + 3640 = 3920
2y = 3920 - 3640
2y = 280
y = 280 ÷ 2
\(\sf \boxed{\bf y = 140}\)
substitute z = 70 & y = 140 in equation (i) and we can get the value of 'x',
x + 140 + 70 = 420
x + 210 = 420
x = 420 - 210
\(\sf \boxed{x = 210}\)
Number of $ 8 priced tickets = 210
Number of $10 priced tickets = 140
Number of $ 12 priced tickets = 70
Which of the following regressions represents the weakest linear relationship
between x and y?
Regression 1
y = ax + b
a = -5.8
b=-6.5
r = -0.7621
Regression 2
y = ax + b
a = 2.4
b = -14.7
T= = 0.809
Regression 3
y = ax + b
= -7.4
b=-17.4
a=
r=-0.233
Regression 4.
yax+b
a = -3.4
b= -8.5
T= -0.6121
Please send help
Answer:
Step-by-step explanation:
The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.
Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:
Regression 1: y = -5.8x - 6.5, r = -0.7621
Regression 2: y = 2.4x - 14.7, r = 0.809
Regression 3: y = -7.4x - 17.4, r = -0.233
Regression 4: y = -3.4x - 8.5, r = -0.6121
Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.
A sample of 75 concrete blocks had a mean mass of 38.3 kg with a standard deviation of 0.6 kg.
a. How many blocks must be sampled so that a 95% confidence interval will specify the mean mass to within ±0.1 kg? (Round up the final answer to the nearest integer.)
The number of blocks that must be sampled is:
b. How many blocks must be sampled so that a 99% confidence interval will specify the mean mass to within ±0.1 kg? (Round up the final answer to the nearest integer.)
The number of blocks that must be sampled is:
For a 95% confidence interval, number of blocks that must be sampled is 139, and for a 99% confidence interval, number of blocks that must be sampled is 238.
We will use the formula for the sample size in a confidence interval estimation:
n = (Z * σ / E)²
Where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the standard deviation, and E is the margin of error.
a. For a 95% confidence interval, the Z-score is 1.96. The standard deviation is 0.6 kg, and the margin of error is ±0.1 kg. Plugging these values into the formula:
n = (1.96 * 0.6 / 0.1)²
n ≈ 138.3
Since we need to round up the final answer to the nearest integer, the number of blocks that must be sampled for a 95% confidence interval is 139.
b. For a 99% confidence interval, the Z-score is 2.576. Using the same formula with this new Z-score:
n = (2.576 * 0.6 / 0.1)²
n ≈ 237.8
Again, rounding up the final answer to the nearest integer, the number of blocks that must be sampled for a 99% confidence interval is 238.
In summary, for a 95% confidence interval, 139 blocks must be sampled, and for a 99% confidence interval, 238 blocks must be sampled.
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A company is planning to purchase a plot of land for $200,000 to build a factory. There are two options offered by a lending institution.
1. 20-year loan at 3.25% APR compound monthly
2. 30-year loan at 4.75% APR compound monthly
- Calculate the monthly payment for both options.
- Calculate the finance charge for both options.
- Determine which option is better for the company & explain why.
Answer:
1.) 20 yrs --> $1,045.63
30 yrs --> $1,204.08
2. See the attachment
3. See the attachment
Step-by-step explanation:
Please find the attachment for detail