Angela earns $11.50 per hour. If she works more than 40 hours a week she earns double time. This week she worked a total of 48 hours. How much was her total weekly paycheck?
Answers
Answer:
11.50 x 40 regular hours is $460
double time is 11.50 x 2 = $23 an hour
She makes $23 an hour for 8 hours = $184
$460 + $184 = $644 paycheck
Related Questions
he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Answers
Given that f(x) is a function, and h(x) is the transformed graph of f(x). Which value for the parameter of "a" would case a vertical stretch to occur in h(x)=a*f(x)?
A. 0.5
B. 0.8
C. -0.25
D. 1.2
Answers
Answer:
D. 1.2
Step-by-step explanation:
h(x)=a*f(x)
vertical stretch: |a | > 1
A plane takes a field and rises at an angle of 11.5 with the horizontal. Find the height of the plane after it has traveled a distance of 1240 ft. (Round answer to nearest decimal
Answers
Trigonometric Ratios
The trigonometric ratios are formulas that relate angles and sides in a right triangle.
A right triangle has an angle of 90°.
The situation described in the question can be represented by the first triangle, where the angle of elevation is 11.5° and the distance traveled is the hypotenuse of the triangle and its value is 1240 ft.
It's required to find the height h.
Considering the angle of elevation as a reference, the trigonometric ratio that can be used to find h is the sine.
The sine ratio is defined as:
\(\sin \theta=\frac{\text{opposite side}}{hypotenuse}\)Substituting:
\(\sin 11.5^o=\frac{h}{1240}\)Solving for h:
\(h=1240\cdot\sin 11.5^o\)Calculating:
\(\begin{gathered} h=1240\cdot0.199368 \\ h=247.22\text{ ft} \end{gathered}\)The height of the plane is 247.22 ft
The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 84 square inches. Solve for the dimensions (length and width) of the poster.
Answers
Step-by-step explanation:
w = width
2w + 2 = Length
Area = W x L = 84 = w (2w+2)
84 = 2w^2 + 2w
0 = 2w^2 + 2w - 84 Use Quadratic Formula
a = 2 b=2 c = -84
to find
W = 6 then L = 14 inches
Point J (-8, -12) is reflected over the x-axis. Where is J?
Answers
Answer:
2,5
Step-by-step explanation:
Please help answer this
Answers
Find the exact circumference of the circle. please help?
Answers
Answer:
3rd option
Step-by-step explanation:
We first need to find the diameter of the circle.
We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.
The diagonal of a square is
\(a \sqrt{2} \)
where a is the side lengths of the square.
So this means the diagonal of the square is
\(18 \sqrt{2} \)
The diagonal is also the diameter of the main circle. The formula for circumference is
\(d\pi\)
where d is the diameter.
So the diameter is
\((18 \sqrt{2} )\pi\)
or
\(18\pi \sqrt{2} \)
The third option is correct
Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.
This system of equations models the scenario:
4x + 2y ≤ 16
x + y ≥ 4
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)
Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Answers
The graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings.
Each cupcake costs $4, and each piece of fudge costs $2.
4x + 2y ≤ 16
x + y ≥ 4
The graph for system of inequalities is attached.
The point (2, 3) included in the solution area for the system
4(2)+2(3)≤ 16
14≤ 16 is true.
2+3≥ 4 is true.
Point (2, 3) included in the solution area for the system.
From the graph (4, 0) is the solution of area for the system.
Hence, the graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.
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Solve the inequality a−32<1 and write the solution in interval notation, using improper fractions if necessary.
Answers
Answer:
( -∞ , 33 )
Step-by-step explanation:
To solve the inequation a-32 < 1, we need to sum on both sides 32, as:
a - 32 + 32 < 1 + 32
a < 33
It means that the solutions are all the number that are smaller than 33 or in interval notation it would be:
( -∞ , 33 )
Where 33 is not included in the interval.
Find nth term of the sequence: 11, 15, 19, 23
Answers
The term
tn=a+(n−1)d
Where a= first term and d= common difference
hope it helps...!!!
what is inequalities
Answers
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.
The most common symbols used in inequalities are:
">" (greater than): indicates that the value on the left side is larger than the value on the right side.
"<" (less than): indicates that the value on the left side is smaller than the value on the right side.
"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.
"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.
"≠" (not equal to): indicates that the values on both sides are not equal.
Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
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You lose an online auction for an autograph. Your losing bid of $28 is 40% of the winning bid. How much less was your bid than the winning bid?
Answers
7=10%x
7•10=x
x=70
Three-fourths of the yard is covered with grass and one-fourth is used as a garden. The sprinkler could only water 1/5 of the yard, so the rest died. Use the model to find out how much of the grass died.
Answers
3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
Let's start by breaking down the information given:
- Three-fourths of the yard is covered with grass.
- One-fourth of the yard is used as a garden.
- The sprinkler could only water 1/5 of the yard.
To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.
Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.
The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.
To find the portion of the grass that died, we subtract the watered portion from the total grass area:
Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.
Simplifying, we get:
Portion of grass that died = 3/5.
Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
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what is the sum of E n=1 2/3 (1/4) n-1?
S = 4/9
S = 8/9
S = 4/3
S = 8/3
Answers
Answer:
You are right. The answer is 8/9 or B.
Step-by-step explanation:
Given the Geometric Progression \(\sum^\infty_{n=1} \frac{2}{3}(\frac{1}{4})^{n-1}\), the value of sum is equal to \(\frac{8}{9}\).
Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.
Sum of an infinite geometric progression when r is less than 1 is given by \(\frac{a}{1-r}\), where a is the first term and r is the proportion of change in each term, the common ratio.
Given in the question,
\(\sum^\infty_{n=1} \frac{2}{3}(\frac{1}{4})^{n-1}\)
\(= \frac{2}{3}\sum^\infty_{n=1} (\frac{1}{4})^{n-1}\\\\= \frac{2}{3}( (\frac{1}{4})^0 +(\frac{1}{4})^1 +(\frac{1}{4})^2 ...)\\\\= \frac{2}{3}(\frac{1}{1-\frac{1}{4} } )\\\\= \frac{2}{3} * \frac{4}{3} = \frac{8}{9}\)
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Hello,
I have paid the $29.00 monthly subscription for my son (jalen); I have signed up only to pay the monthly payment. Sorry to say, he does not live with me. I earlier sent you an email explaining the same with no reply from you. So how does he proceed using his information to freely access your program?
Looking forward to hearing from you shortly.
THANKS,
climacus
Answers
Answer:
Step-by-step explanation:
The cost to rent a moving yan for a day is an initial cost of $29 plus $0.35 per mile driven, Find a function to model the cast of the moving van rental
based on the initial cost and miles driven
Answers
Hello!
miles driven = x
the initial cost = 29
f(x) = 29 + 0.35x
The mean lifetime of a tire is 48 months with a standard deviation of 77 months. If 147 tires are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 0.83 months?
Answers
Answer:
0.55199
Step-by-step explanation:
When we have a random number of samples, We solve using z score formula
z = (x-μ)/σ/√n where
x is the raw score
μ is the population mean
σ is the population standard deviation
n is random number of samples
z = 0.83/77/√147
z = 0.13069
Probabilty value from Z-Table:
P(x<48.83) = 0.55199
The probability that the mean of the sample would differ from the population mean by less than 0.83 months is 0.55199
Lexie drives her car 204 miles using 12 gallons of gasHow many miles per gallon does her car get? not include the units in your answer
Answers
Answer: 17
Step-by-step explanation: 204/12 = 17
Answer:
204÷12=17
lexie used 17 per miles
Step-by-step explanation:
that if am right lol
In one day, 500 people played a fairground game.
The relative frequency of winning the game was
0.38
How many times was the game won that day?
Answers
Answer:
190
Step-by-step explanation:
500x0.38=190
I just see it that way
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Answers
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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Please help also I know the answers there are wrong
If possible explain how you got the answers
Answers
The values of all the required angles are; m∠5 = 42°; m∠8 = 138°; m∠10 = 138° and m∠11 = 42°
How to Identify corresponding angles?
Corresponding angles are formed where a line known as an intersecting transversal, crosses through a pair of straight lines.
Now, we are given that; m∠1 = 42°
By corresponding angles, we can say that;
m∠1 = m∠5
Thus; m∠5 = 42°
Now, we know that sum of angles on a straight line is equal to 180° i.e. they are supplementary angles.
Now, from the diagram, we can see that m∠5 and m∠8 are supplementary angles and as such;
m∠5 + m∠8 = 180°
42 + m∠8 = 180
m∠8 = 180° - 42°
m∠8 = 138°
Now, m∠9 is a corresponding angle to both m∠1 and m∠5. Thus, we can say that; m∠9 = 42°. However, m∠9 is supplementary to m∠10. Thus;
m∠10 = 180 - 42
m∠10 = 138°
Lastly, m∠10 and m∠11 are supplementary angles and as such;
m∠10 + m∠11 = 180°
138 + m∠11 = 180
m∠11 = 180° - 38°
m∠11 = 42°
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cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answers
Answer:
2
Step-by-step explanation:
1+1=2
round to the nearest whole number !
round 53/6 to the nearest whole number
round 203/10 to the nearest whole number
round 73/5 to the nearest whole number
Answers
53/6, 203/10 and 73/5 rounded to the nearest whole number are 9, 20 and 15 respectively
How to round numbers to the nearest whole number?Approximation is the process of using rounded values when presenting numerical data and making rough calculations.
The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.
The numbers can be rounded to the nearest whole number as follows:
53/6 = 8.83 = 9 (round up)
203/10 = 20.3 = 20 (round down)
73/5 = 14.6 = 15 (round up)
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Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 2. B. The graph of g(x) is the graph of f(x) shifted up by a factor of 2. C. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2. D. The graph of g(x) is the graph of f(x) shifted to the right by a factor of 2.
Answers
Answer:
. C. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
g(x)=x² is the function of g(x).
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Graph of g(x) is the graph of f(x) compressed vertically by a factor of 1/4
Graph of g(x) is the graph of f(x) shifted down 4 units
Graph of g(x) is a graph of f(x) shifted up 4 units
Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4
g(x) = 4·f(x) = 4x²
Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4
Graph of g(x) is a graph of f(x) compressed vertically by a factor of 1/4
=> g(x) = (1/4)f(x) = x²/4
Graph of g(x) is a graph of f(x) shifted down 4 units
=> g(x) = f(x) - 4
Graph of g(x) is the graph of f(x) shifted up 4 units
=> g(x) = f(x) + 4
Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4
=> g(x) = 4·f(x) = 4x²
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Write an expression for the height, h, of a cylinder with a volume of 547 cubic inches
in terms of its radius, r.
Answers
The expression for the height (h) in terms of radius r is h = 547/(∏r²).
What is a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
Given that the volume of the cylinder is 547 cubic inches.
The volume of a cylinder is V = ∏r²h
Where r is the radius of the cylinder.
h is the height of the cylinder.
Putting V = 547, r = r and h = h in V = ∏r²h
547 = ∏r²h
∏r²h = 547
Divide both sides by ∏r²:
h = 547/∏r².
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Can Anyone HELP?
The length of the base of an isosceles triangle is 4 inches less than the length of one of the two equal sides of the triangles. If the perimeter is 32, find the three sides of the triangle. If x represents one of the equal sides of the triangle, then which equation can be used to solve the problem?
A. 2x - 4 = 32
B. 3x + 4 = 32
C. 3x - 4 = 32
Answers
Let x be the length of each of the equal sides of the isosceles triangle. Then the length of the base is x - 4. The perimeter of the triangle is the sum of the lengths of the three sides, which is:
x + x + (x - 4) = 3x - 4
We know that the perimeter is 32, so we can set 3x - 4 equal to 32 and solve for x:
3x - 4 = 32
Adding 4 to both sides gives:
3x = 36
Dividing by 3 gives:
x = 12
Therefore, one of the equal sides of the triangle is 12 inches long, and the length of the base is 12 - 4 = 8 inches.
So the three sides of the triangle are 12 inches, 12 inches, and 8 inches.
The correct equation to solve the problem is (C) 3x - 4 = 32.
Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?
acute, because 62 + 102 < 122
acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
Answers
Answer:
To determine the classification of a triangle based on its side lengths, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (the shorter sides) is equal to the square of the length of the hypotenuse (the longest side).
For this particular triangle with side lengths 6 cm, 10 cm, and 12 cm, we can apply the Pythagorean theorem to determine whether the triangle is acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is equal to 90 degrees).
Using the Pythagorean theorem, we find:
6^2 + 10^2 = 136
12^2 = 144
Since 136 is less than 144, we know that 6 cm, 10 cm, and 12 cm are the side lengths of a triangle that is obtuse (one angle is greater than 90 degrees), because the longest side (the hypotenuse) is greater than the sum of the squares of the lengths of the other two sides.
Therefore, the correct answer is: obtuse, because 6^2 + 10^2 < 12^2.
Subtract(3x+3) from the sum of(8x+3) and(6x+5) .
Answers
Answer:
\(((8x + 3) + (6x + 5)) \: - (3x + 3) \\ (14x + 8) \: - (3x + 3) \\ (14x + 8) + ( - 3x - 3) \\ = 11x + 5\)
50 POINTS.Tell whether the ordered pairs is a solution of the system of linear inequalities.
4. (8, −2); y −6
8. (1, 3);2x + y −4, 3x − y ≤ 3
Answers
Answer:
4, or it could be 8 but mostly 4
Step-by-step explanation: