Answer:
40.4
Step-by-step explanation:
Well...you see, 60% of $97 is equal to 58.2. you can get this by multiplying 97 by 0.60.
so subtract 97 by 58.2 and you will get 38.8, now you will add the tax which is and extra add-on to the prices full value
and it's a 4% tax so you will add for percent to 38.8,
basically multiply 38.8 times 0.04 and you will get 1.6 which you will have to add the your amount to get 40.4.
26) Jody earns $8.00 per hour.
Michael earns $10.00 per hour.
They each earn a 2% commission on what they sell.
Jody sold $6000. She worked 30 hours.
Michael sold $5000. He worked 40 hours.
What were each of their earnings for the week?
What was the difference in their earnings?
Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference between their earning is $140
Jody sold $6000
2% commission of $6000 is (2/100)x 6000
Jody's commission is $120
He earns $8 per hour and he worked for 30 hours
= 8 x 30
=$240
Jody's total earning = 240 + 120 = $360
Michael sold $5000
2% commission of $5000 is (2/100)x 5000
Michael's commission is $100
He earns $10 per hour and he worked for 40 hours
= 10 x 40
=$400
Michael's total earning = 400 + 100 = $500
Difference in there earnings= Michael's earning - Jody's earning
= 500- 360
= $140
Therefore, Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference in their earning is $140
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Pls help
SAS
SSS
AAS
HL
Answer:
Step-by-step explanation:
its none, if it was SAS then the 10 would be closer to the angle
Simplify this problem, thank you!
The simplification of the square root gives:
\(\sqrt{28*(1 - \sqrt{3}) }\)
How to simplify the expression?
Here we have the following expression:
\(\sqrt{( \sqrt{21} - 2*\sqrt{7})^2 }\)
First, remember the perfect square trinomial, we can expand:
(a + b)² = a² + 2ab + b²
We can apply that to the argument of the square root so we get:
\(\sqrt{( \sqrt{21} - 2*\sqrt{7})^2 } = \sqrt{\sqrt{21}^2 - 2*(\sqrt{21})*(2\sqrt{7}) + (-\sqrt{7})^2 }\)
We can rewrite this as:
\(\sqrt{\sqrt{21}^2 - 2*(\sqrt{21})*(2\sqrt{7}) + (-\sqrt{7})^2 }\\\\= \sqrt{21 - 4*(\sqrt{21})*(\sqrt{7}) + 7 }\\\\= \sqrt{21 - 4*\sqrt{3*7}*\sqrt{7} + 7\\\)
Now we can distribute the square roots to get:
\(= \sqrt{21 - 4*\sqrt{3}*\sqrt{ 7}*\sqrt{7} + 7}\\\\= \sqrt{21 - 4*\sqrt{3}*7 + 7}\\\\ = \sqrt{7*(3 - 4*\sqrt{3} + 1 )}\\\\\\\\ = \sqrt{7*(4 - 4*\sqrt{3}) }\\\\= \sqrt{28*(1 - \sqrt{3}) }\)
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HELP ME PLSSSS I NEED HELP PLSSSS
Answer:
8.9 units
Step-by-step explanation:
Distance between (3, -2) and (7, 6) using distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).
Let,
\( (3, -2) = (x_1, y_1) \)
\( (7, 6) = (x_2, y_2) \)
Plug in the values
\( d = \sqrt{(7 - 3)^2 + (6 - (-2))^2} \)
\( d = \sqrt{(4)^2 + (8)^2} \)
\( d = \sqrt{16+ 64} \)
\( d = \sqrt{80} = 8.9 \) (nearest tenth)
Answer:
8 point 9
i know
two sixths plus two sixths plus one sixth
Answer:
5/6
Step-by-step explanation:
Simplify the following:
2/6 + 2/6 + 1/6
2/6 + 2/6 + 1/6 = (2 + 2 + 1)/6:
(2 + 2 + 1)/6
2 + 2 + 1 = 5:
Answer: 5/6
Answer:
5/6
Step-by-step explanation:
2/6 + 2/6 + 1/6 = 5/6
just add the numerators as the denominators are the same
This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3
cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?
Answer:
3.375 bags of soil are needed for Paj to fill the flower pot
Step-by-step explanation:
This question can be solved using a rule of three.
One bag contains 2 + (2/3) = (8/3) cubic inches of soil. How many bags are needed to fill 9 cubic inches of soil?
1 bag - (8/3) cubic inches
x bags - 9 cubic inches
\(\frac{8x}{3} = 9\)
\(8x = 27\)
\(x = \frac{27}{8}\)
\(x = 3.375\)
3.375 bags of soil are needed for Paj to fill the flower pot
Paj needs 3.375 bags of soil to fill the bag.
Each bag contains 2²/₃ inch³ of soil and they need to fill up a 9 inch³ pot of soil.
First convert the mixed fraction to an improper one:
2²/₃ = 8/3
The number of bags needed is:
= Volume of pot / Quantity of soil in each bag
= 9 ÷ 8/3
= 9 x 3/8
= 3.375 bags of soil
Paj therefore needs 3.375 bags of soil to fill the pot
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(-3, -3), (1, -5)find the slope
For this you can use the slope formula:
\(\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are the respective coordinates of the points} \end{gathered}\)So, in this case, you have
\(\begin{gathered} (x_1,y_1)=(-3,-3) \\ (x_2,y_2)=(1,-5) \end{gathered}\)\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-5-(-3)}{1-(-3)} \\ m=\frac{-5+3}{1+3} \\ m=\frac{-2}{4} \\ \text{ Simplifying} \\ m=\frac{-2\cdot1}{2\cdot2} \\ m=-\frac{1}{2} \end{gathered}\)Therefore, the slope of the line through the given points is
\(undefined\)Joseph is tracking the progress of her plant's growth. Today the plant is 8 cm high. The plant grows 1.5 cm per day
What is the linear model that represents the height of the plant after d days.
Answer:
y = 1.5x(or d) + 8
Step-by-step explanation:
1.5 is the slope and 8 is the y intercept(the constant term)
A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answer:
The value is \(p-value = 0.22663\)
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is \(H_o : p = 0.08\)
The alternative hypothesis is \(H_a : p > 0.08\)
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
\(p-value = P(Z > z)\)
=> \(p-value = P(Z > 0.75)\)
From the z-table
\(P(Z > 0.75) = 0.22663\)
So
\(p-value = 0.22663\)
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
here a subtraction problem that has been solved incorrectly what is the right answer for 74-25=59 but do it in the addition sentence that check the subtraction problem but the choices is 84-25=109 59+25=84 84-59=43
Pythagorean triples are given by these formulas:
(2²-37, 2zy, z²+37²)
The hypotenuse of a right triangle is 29. The lengths of the legs are whole numbers. List your answers in increasing
order.
The lengths of the two legs are
and
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
We have,
The formula given is incorrect.
The correct formula for Pythagorean triples with a given integer z is:
(z² - 1², 2z, z² + 1²)
Using this formula, we can find the two legs of the right triangle with hypotenuse 29 as follows:
z² + 1² = 29²
z² + 1 = 29²
z² = 29² - 1
z² = 840
z = √840
z = 28.98
Since z must be an integer, we can try integer values close to 28.98 to find one that works.
Trying z = 29,
a = z² - 1² = 840 - 1 = 839
b = 2z = 58
c = z² + 1² = 840 + 1 = 841
Therefore,
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
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Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 9854 total votes, how many no votes were there?
There were approximately 6056 no votes.
Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.
Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.
The total number of votes is given as 9854, so we can set up the following equation:
\(5x + 8x = 9854\)
Combining like terms, we have:
\(13x = 9854\)
To solve for x, we divide both sides of the equation by 13:
\(x = \frac{9854 }{13}\)
\(x \approx 757.23\)
Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.
Now, we can find the number of no votes by multiplying x by the ratio of no votes:
No votes \(= 8x\)
\(= 8 \times 757\)
\(= 6056\)
Therefore, there were approximately 6056 no votes.
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Factor the expression. 35g2 - 2gh - 24h2
Answer:(7g-6h)(5g+4h)
Step-by-step explanation:
35g^2-2gh-24h^2
35g^2+28gh-30gh-24h^2
7g(5g+4h)-6h(5g+4h)
(7g-6h)(5g+4h)
1.If +20 represents 20 m above sea level, then –20 represents?
1.If +90 represents a movement of 90 m to the north then _90 represents?
Answer:
-20 represents 20m below sea level.
-90 represents a movement of 90m to the South.
Just give me 10 random dividing fraction equations with the answer will give brainliest!!
Answer:
Step-by-step explanation:
A survey of 100 high school students provided this frequency table on how students get to school. What is the probability that a randomly selected student is a junior who takes the bus?
The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.
The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.
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Based on the figure and the given information, which conclusion cannot be proven?
Given QN bisects MQP.
1. MQ = QP
2.m<1 = m<2
3. M
4.
leght multipy by breath
Answer:
equal to area of rectangle
Step-by-step explanation:
Please mark me brainlest
solve each rational equation. list excluded values
x+4/x+5=6/x^2+10+25
An English test has 50 multiple-choice questions, each with five answer choices and one correct answer. A student guesses each answer choice randomly. Let X represent the number of questions answered correctly. What is the shape of the probability histogram of X?
A) skewed left
B) skewed right
C) approximately uniform
D) approximately symmetric
Answer: skewed right
Step-by-step explanation:
Trust
The shape of the probability histogram of X is skewed right.
The correct answer is (B)
What is skewness?Skewness refers to a distortion or asymmetry that deviates from the symmetrical bell curve, or normal distribution, in a set of data.
As, English test has 50 multiple-choice questions, each with five answer choices and one correct answer.
Let X represent the number of questions answered correctly.
In statistics, a positively skewed (or right-skewed) distribution is a type of distribution in which most values are clustered around the left tail of the distribution while the right tail of the distribution is longer.
By looking the condition given in the questions, we can say that the shape will be skewed right on histogram.
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PLS HELP 50 POINTS!!
The line segment FG represent the volume of water decreases in Katherine's water bottle.
From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).
The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.
Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.
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17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
A box contains 2 blue markers, 5 green markers and 3 yellow markers. What is the probability of drawing a blue marker, replacing it, then drawing a yellow marker?
what is -x - (1 + 6x) simplified?
Answer:
-7x -1
Step-by-step explanation:
-x - (1 + 6x)
Distribute the minus sign
-x - 1 - 6x
Combine like terms
-7x -1
hazel is saving to buy a 400$ bike.She saves each week from her babysitting money.What linear equation represents the amount hazel still has to save after x weeks
Step-by-step explanation:
what r the answer choses??
assume we have a random variable x with a uniform probability density function. uniform probability density is defined as: fx(x)
The probability that the random variable X will be less than or equal to x. A uniform distribution's CDF is a linear function that increases from 0 to 1 across the range [a, b].
The uniform probability density function is given as follows:
If a = x = b = 0, then fx (x) = 1/(b-a), otherwise
where a and b are the uniform distribution's lower and upper bounds, respectively.
This means that the probability density function fx(x) is constant and equal to 1/(b-a) for any value of x between a and b, indicating that the probability of x taking a value in that interval is proportional to the width of the interval.
The probability density function fx (x) is zero outside of this range, It implies that the probability of x taking a value outside of [a, b] is zero. This is because the uniform distribution is only defined within the range [a, b].
It's the cumulative distribution function (CDF) used to express the probability density function for a uniform distribution:
Fx (x) = (x-a)/(b-a)
where a = x = b = 0, x a = 1, and x > b.
It shows the probability that the random variable X will be less than or equal to x. A uniform distribution's CDF is a linear function that increases from 0 to 1 across the range [a, b].
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Pllzzzz hellppppp
Sandra wants to buy flowers for her garden. The table shows how many flowers she can buy and what they will cost. Determine the rate of change for price in relation to flowers bought
-1)
A) 0.25 per flower
B) $4 per flower
C) $3 per flower
D) $6 per flower
Answer:
The answer is B) $4 per flower
Step-by-step explanation:
12/3=4
24/6=4
48/12=4
Hope this helps
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Gift wrappers tend to have competitions on who can wrap more presents in a day. If Benjamin wrapped 9 less presents than Christopher, who wrapped x presents, choose the expression that shows how many presents Benjamin wrapped.
Answer:
x-9.
the expression that shows how many presents benjamin wrapped would be x-9