Answer:
She earned $12.60 per hour
Step-by-step explanation:
Pay was $412.65
Hours worked = 16.5 + 16.25 = 32.75 hrs
hourly rate = $$/hrs = 412.65/32.75 = 12.6
She earned $12.60 per hour
Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
graph the system of equations and determine the solution.6x - 3y = 34x - 2y = 8use the graphing tool to graph the system what is the solution select the correct Choice below and if necessary fill in the answer box to the complete your choice A. the solution is _____B. there are infinitely many solutions C. no solution
Solution
From the graph is possible to see that the best solution is:
C. no solution
Since the graphs never intersect each other
Jason is canoeing on a river that flows
downstream at a rate of 1 mile per hour. After
paddling 5 miles downstream, he turns around
and paddles 6 miles upstream to report the
condition of the river to the rest of his group. The
whole trip takes 3 hours.
a) Fill out the last column in table below by
writing an expression for time downstream and
for time upstream
An expression exists as a number, a variable, or a combination of numbers and variables, and function symbols. The speed in still water exists 4 mph.
What is meant by expression?The acronym BODMAS, which stands for brackets of, division, multiplication, addition, and subtraction, might be used to simplify the expression. It specifies how to answer a mathematical expression in a particular order.
Let x be the speed in still water
\($&\frac{5}{x+1}+\frac{6}{x-1}=3\)
LCD = (x + 1)(x - 1)
\($&(x+1)(x-1) \cdot \frac{5}{x+1}+(x+1)(x-1) \cdot \frac{6}{x-1}=(x+1)(x-1) \cdot 3 \\\)
simplifying the above equation, we get
5(x - 1) + 6(x + 1) = 3(x + 1)(x - 1)
5x - 5 + 6x + 6 = 3 x² - 3
3x² - 11x - 4 = 0
(3x + 1)(x - 4) = 0
x = -1/3 (speed is not negative);
then we get x = 4 mph
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Which of the following tables represents a linear function?
x −2 −1 0 1 2
y 5 2 1 2 5
x −2 −1 0 1 2
y 5 3 1 −1 −3
x 3 3 0 3 3
y −2 −1 0 1 2
x 0 1 2 3 4
y 0 −1 2 −3 4
The slope at the different sections in table 2 will be constant. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The slope of the linear equation will be constant throughout.
Let's check option B, then we have
m = (3 - 5) / (- 1 + 2) = (- 3 + 1) / (2 - 1)
- 2 = - 2
The slope at the different sections in table 2 will be constant. Then the correct option is B.
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Answer:The answer is b
Step-by-step explanation:B
A manufacturing company has an old machine which produces 25 components per hour. The company has recently installed a new machine which produces 35 components per hour. Yesterday, both machines were in operation for different periods of time. If 430 components were produced when the total number of hours of operation was 14 hours, determine for how many hours each machine was in operation
Answer: old machine 150, new machine 280
Step-by-step explanation:
given data:
Old machine = 25t
New machine = 35t
where t = hrs
we dont know the time for old machine so we assume it to be ( t ),
while that of the new machine is ( 14-t ) hours for new machine, and sum of 430 components.
therefore;
25t +490 - 35t = 430
-10t = -60
divide both sides by -10
t = 6 hours for the first machine.
6hrs * 25 components /hr
= 150 component parts For old machine.
for new machine
= 14 - t ........... eq1.
where ( t = 6 ), substitute t into the equation
= 14 - 6
= 8 hours for the second machine
= 8 * 35
= 280 components parts
substracts 5 - 3 1/3
Answer:
5/3
1 2/3
Step-by-step explanation:
5 - 3 1/3 can be simplified as follows:
5 - 3 1/3 = 5 - (3 + 1/3) [grouping the whole number and fraction together]
= 5 - (10/3) [converting the mixed number to an improper fraction]
= 15/3 - 10/3 [finding a common denominator for subtraction]
= 5/3
Therefore, 5 - 3 1/3 is equal to 5/3.
A triangle has sides with lengths of 6 inches, 13 inches, and 17 inches. Is it a right triangle?
Answer:
Nope
Step-by-step explanation:
To now if a triangle is a right angle, use Pythagoras Theorem,
a^2 + b^2 = c^2
C usually be the longest side of the triangle, C = 17
Then also let a and b be 6 and 13 respectively.
6^2 + 13^2 =205
C^2 = 205
C = sqrt(205) = 14.32
therefore no this is not a right angle triangle
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
True
Step-by-step explanation:
like pirates, the stars were their navagation
Which graph shows the point (-2, 3)?
A.
B.
C.
D.
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 176 feet of fencing,
what is the largest area the farmer can enclose?
Answer: 46 ft by 92 ft
Step-by-step explanation:
The largest area is enclosed when half the fence is used parallel to the wall and the other half is used for the two ends of the fenced area perpendicular to the wall. Half the fence is 184 ft/2 = 92 ft. Half that is used for each end of the enclosure.
Please Help me To solve this Problem
You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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Answer quick please
Answer:
18
Step-by-step explanation:
3 3/8 becomes 27/8.
27/8 x 16/3=18
You have to flip 3/16 since you are dividing.
Answer:18
Step-by-step explanation:
3 3/8 devided by 3/16=18
Two people are playing the game rock, paper scissors. In each round both players show rock, paper, or scissors at the same time. What is the probability that both players show rock in the first round. Show your work.
The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).
In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.
To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.
Therefore, the probability that both players show rock in the first round can be calculated as follows:
P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9
So the probability that both players show rock in the first round is 1/9 or approximately 0.111.
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Mary weighed 7 1/2pounds when she was born. What number makes the statement true? 7 1/2 = ?/2
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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Determine the values of x in the equation x2 = 64.
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
Convert .805 liters to millimeter s
A carat is equal to 200 mg 1 of the worlds most famous diamond is the hope diamond which is equal to 44.5 carats what is the weight of the hope diamond in gram
The weight of 1 carat is given to be 200 mg.
Therefore, the weight of the hope diamond that contains 44.5 carats is given to be:of
\(\Rightarrow200\times44.5=8900\text{ mg}\)We can convert mg to grams using the conversion:u
\(1000\text{ mg}\to1\text{ gram}\)Therefore, 8900 mg will be:
\(\Rightarrow\frac{8900}{1000}=8.9\text{ grams}\)The weight is 8.9 grams.
How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsJeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has.
Answer:
he can rent the camera for 5 days and will have $5 left over
Step-by-step explanation: he only has $50 , and he has to pay 15 to register which will leave him with 35 left over and then he pays $6 each day and it would be 5 days of renting.
50-15+35
6x5=30 which means he pays $6 everyday for 5 days
which will leave $5 left over
20% of what number is = to 5% of 680
Answer:
Solution
20%× X= 5%×680
or, X=170.
The required number is 170.
Solve by Factoring:
2x^2 - x - 3 = 0
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
What are the coordinates of point A?
1.(5,2,0)
2.(5,0,2)
3.(0,2,5)
4.(2,0,5)
The coordinates of point A are (2, 0, 5).
Then the correct option is the fourth one.
How to get the coordinates of point A?The general notation for a point on 3 dimensions is (x, y, z).
First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.
First, we can see that the x-value of A is x = 2.
The z-value of A is z = 5.
And A lies on the plane x_z, then the y-value is y = 0.
Then the coordinates of point A are (2, 0, 5).
So the correct option is 4.
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The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
Can you please help me solve?
The zeros of the polynomial function are x = -1 and x = 5
Finding the zeros of the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
y = x⁴ - 4x³ - 4x² - 4x - 5
To calculate the zeros of the polynomial function, we create a graph of the polynomial
The point where the graph intersect with the x-axis are the zeros of the polynomial function
using the above as a guide, we have the following:
Zeros: x = -1 and x = 5
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Height,20 m
Bases, 9 m, 15 m
What is the area of this trapezoid?
Answer:
The answer is....... A=240
A man, a woman, and their four children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each other?
Answer:
Required probability = 2 / 11
Step-by-step explanation:
Sample space of 5 person = 11!
One woman one man arrangement = 2!
Arrangement without woman = 10!
Required probability = [2!][10!] / [11!]
Required probability = 2 / 11
The probability that the parents will be standing next to each other is 2/11
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Sample spaceGiven a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!
The parent arrangement is 2!If they are arranged without the woman, the expected event will be 10!Pr(parents standing next to each other) = 2!10!/11!
Pr(parents standing next to each other) = 2*10!/11*10!
Pr(parents standing next to each other) = 2/11
Therefore the probability that the parents will be standing next to each other is 2/11
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