Answers
The table is filled as described , shown below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Rate per hour is $11.25
Number of regular hours is 40
Payment for regular hours:
time multiply with payment=
40*$11.25 = $450
Again, we have,
Rate per overtime hour:
$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)
Number of overtime hours:
48.5 - 40 = 8.5
Payment for overtime hours:
$16.88*8.5 = $143.48
Now, we get ,
Gross payment is the sum of regular and overtime payments:
$450 + $143.48 = $593.48
Hence, he would get $593.48
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Related Questions
5700 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the account value to reach 20900 dollars?
Answers
It will it take 56 years for the account value to reach $20,900.
What is Simple Interest?This amount is calculated based on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, thus, a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.
formula for calculating Simple Interest, S.I:
S.I = P * R * T
100
Where,
S.I = Simple Interest
P =Pricipal
R = rate ( in percentage)
T= Time
To how long will it take for the account value to reach $20,900
S.I = $20,900
R = 6.5%
P =$ 5,700
T =?
S.I = P * R * T
100
$20,900 = $ 5,700 * 6.5 * T
100
Cross multiplying and Making Time, T subject of the formula we have:
$20,900 * 100 = $ 5,700 * 6.5 * T
T= $20,900 * 100
$ 5,700 * 6.5
T= 56.41
T ≈ 56 years
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the volume of the sphere is 70.34 cubic inches. use pi 3.14
Answers
Answer:
B (2.6)
Step-by-step explanation:
Lea needs at least $240 to buy new headphones. She has already saved $30. She
earns $14 per car that she washes.
What is the least number of cars she can wash to buy the headphones?
Answers
Answer:
x = the number of cars she needs to wash
Step-by-step explanation:
Question
Enter a linear equation that models the situation.
A drugstore sells pens for $1.40 each and notebooks for $2 each. The owner would like to sell $40 of these
items each day. Use p for the number of pens and n for the number of notebooks.
A linear equation that models the situation is
= 40.
Answers
This equation represents the total daily revenue from the pens (1.4p) and notebooks (2n) and sets it equal to the target revenue of $40. The variables p and n represent the number of pens and notebooks sold, respectively. This equation can be used to determine the number of pens and notebooks that need to be sold in order to reach the target revenue of $40.
Answer:
1.40p+2n=40
Step-by-step explanation:
A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph. What is the cost of a 1-mile ride?
Answers
The cost of a one mile ride is given as follows:
$6.
How to model the situation?The cost per mile is constant, hence a linear function is used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope, representing the cost per mile.b is the intercept, representing the basic fee.A taxi driver charges a $2 fee plus an additional $4 per mile, hence the slope and the intercept are given as follows:
m = 4, b = 2.
Thus the function that gives the cost for a x mile ride is:
y = 4x + 2.
The cost for a one mile ride is of:
y = 4(1) + 2 = $6.
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Exit ticket for geometry
Answers
Answer:
y = 10
Step-by-step explanation:
given DEFG = SPQR
QR = FG
=> 2x - 4 = 12
=> 2x = 16
=> x = 8
angle PQR = EFG
=> 6y + x = 68
=> 6y + 8 = 68
=> 6y = 60
=> y = 10
Which of the following best approximates the line of best fit?
Answers
Answer:
C)
Step-by-step explanation:
The line starts at (0,0) unlike the others
The best approximates the line of best fit is shown in Option A.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
Graph of the function is shown in figure.
Now, We know that;
A best line which is fit of the graph have same distance approximately.
Hence, The best approximates the line of best fit is shown in Option A.
Because it contain all the point approximately.
Thus, The best approximates the line of best fit is shown in Option A.
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Sorry for bad quality but can anyone help plz will mark brainliest.
Answers
clothing,fuel,groceries and utility bill
Please help will mark
Answers
Answer:
this is the graph and just find the slope each equation
Write an expression equivalent to e+e+e+e+e that is a sum of two terms.
Answers
Answer:
5e
5(e)
Step-by-step explanation:
please mark this answer as brainliest
Find the length of a using the Pythagorean theorem
Answers
Answer:
a = 12
Step-by-step explanation:
a² + 9² = 15²
a² = 15² - 9²
a² = 225 - 81
a² = 144
take the square root of both sides
a = 12
Answer:
[tex] {a }^{2} + {9}^{2} = {15}^{2} \\ {a}^{2} = - 81 + 225 \\ {a}^{2} = 144 \\ a = \sqrt{144 \: } \\ a = 12[/tex]
Fill in the blanks to complete the equation
Answers
Answer:
1/8+1/8+1/8
Step-by-step explanation:
The denominator in the first fraction should match the others because you always need a common denominator to add or subtract. And 1+1+1 is 3.
You can sand 4 over 9 yd.² of wood and one over two hour how many square yards can you send in 3.2 hours?
Answers
You can sand 14.4 yd² of wood in 3.2 hours.
What is Ratio?A ratio is used to compare two or more like quantities or numbers with the same units. It is often written with a colon, and when used in words, we say the ratio of one quantity "to" the second quantity. A rate is a ratio that compares two different quantities which have different units.
9:2
x:3.2
therefore;
x = (3.2 x 9)/2
x = 28.8/2
x = 14.4 yd² of wood
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can someone help NO LINKS PLEASE or i will literally report you lol
Answers
Answer:
Rectangular Prism Volume = [tex]210cm^{3}[/tex]
Total Volume of Composite Figure = [tex]247.68cm^{3}[/tex]
Let a = (2, 1, 0), b = (3, -1, 2), c = (4, 0, 3)
Find the volume of the parallelopiped with sides a, b and c.
Answers
The volume of the parallelopiped is 14 cubic units
What is the volume of a parallelopiped?The volume of a parallelopiped with vector sides a, b and c is given by
V = (a × b).c
Given that the parallelopiped has sides
a = (2, 1, 0)b = (3, - 1, 2) and c = (4, 0, 3)So, we have that
(a × b) = (2, 1, 0) × (3, -1, 2) = (2 × 3)i × i + (2 × -1)i × j + (2 × 2)i × k + (1 × 3)j × i + (1 × -1)j × j + (1 × 2)j × k + (0 × 3)k × i + (0 × -1)k × j + (0 × 2)k × k
Since
i × i = 0, j × j = 0, k × k = 0, i × j = k, j × i = -k, j × k = i, k × j = -i, k × i = j, i × k = -j,So,
(a × b) = (2, 1, 0) × (3, -1, 2) = (6) × 0 + (-2)k + -(4)j + 3i + (-1) × 0 + (2)i + -(3)j + -(0)i + (0) × 0
= 0 -2k - 4j + 3i + 2i - 3j - 0 + 0
= 5i -7j - 2k
= (5, -7, -2).
Since (a × b) = (5, -7, -2)
So, the volume of the parallelopiped is
V = (a × b).c
= (5, -7, -2).(4, 0, 3)
= 5 × 4 + (-7 × 0) + (-2 × 3)
= 20 - 0 - 6
= 14.
So, the volume is 14 cubic units.
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write a mutiplcation exprresion that shows ten to the third
Answers
Answer:
10x10x10 or 10*3......
Jake has a floor that is 64 square feet. He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet. The tiles may be cut as needed. What is the fewest number of tiles required to fill the space while also requiring the fewest tiles to be cut? Show a diagram of the completed floor.
Answers
The number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .
What is area ?
Area can be defined as the total space taken by a 2-dimensional surface or shape of an object.
Given
Jake has a floor that is 64 square feet.
He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet.
The area of 3 feet by 5 feet could be = 3 * 5 = 15 square meters.
number of tiles required to fill the space could be = 64 / 15
that is 4.3 (approx )
Hence , the number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .
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Using elimination, what is the solution to the following system?
x+3y= 26
x+y= 14
Answers
Answer:
x=8, y=6. (8, 6).
Step-by-step explanation:
x+3y=26
x+y=14
------------
x+3y=26
-(x+y)=-14
-----------------
x+3y=26
-x-y=-14
---------------
2y=12
y=12/2
y=6
x+3(6)=26
x+18=26
x=26-18
x=8
What is the answer please help me no links
Answers
Answer:
C= 2.18x + 2.39
Step-by-step explanation:
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Answer:
m∠5+m∠6=180°
m∠2+m∠3=m∠6
m∠2+m∠3+m∠5=180°
Step-by-step explanation:
Verify each option
case A) we have
m∠5+m∠3=m∠4 ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
substitute equation B in equation A
m∠5+m∠3=180°-m∠3
m∠5+m∠3+m∠3=180°
This equation is true when m∠2=m∠3
Therefore Is not always true
case B) we have
m∠3+m∠4+m∠5=180° ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
substitute equation B in equation A
m∠3+(180°-m∠3)+m∠5=180°
m∠5=0°
This option is not true
case C) we have
m∠5+m∠6=180°
we know that
m∠5 and +m∠6 are supplementary angles
so
Their sum is always 180 degrees
Therefore this option is always true
case D) we have
m∠2+m∠3=m∠6 -----> equation A
we know that
m∠5+m∠6=180° ----> by supplementary angles
m∠6=180°-m∠5 ----> equation B
substitute equation B in equation A
m∠2+m∠3=180°-m∠5
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
Therefore this option is always true
case E) we have
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
This option is always true
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Given that 38 × 92 = 3,496, does 3.8 × 0.92 = 0.3496, 3.496, or 34.96?
Answers
Answer:
3.496
Step-by-step explanation:
Multiply these two by getting rid of the decimal:
38 -decimal is moved one place here.
x092 -decimal is moved two places here.
3496 -move decimal three places over.
A survey where political groups try to collect information about what voters think is called a * Ballot initiative Public opinion poll Electoral College Acondidate is chosen to run for office is called
Answers
Answer:
Step-by-step explanation:
A person selected by others to run for office is the nominee.
a radio caller won the grand prize, where the caller gets to
spin a wheel with prizes of $500, $750, $1,250, $21500,
$5,000, $10,000, and $25,000 on a wheel. The probability
the wheel lands on $500 is }, landing on $750 is
crIN
landing on $1,250 is 25,
, landing on $2,500 is 25, landing
on $5,000 is 25, landing on $10,000 is 25, and landing on
$25,000 is
25 •
What is the expected amount of money
the radio caller should win if the caller gets to spin the
wheel once?
O $5,050
O $6,450
O $4,100
O $3,650
Answers
Answer: To find the expected amount of money the radio caller should win, you can multiply the prize amount by the probability of winning that prize, and add those products for each prize. The expected value is also known as the mean value.
$500 * 1/8 = $62.50
$750 * 1/8 = $93.75
$1,250 * 1/8 = $156.25
$2,500 * 1/8 = $312.50
$5,000 * 1/8 = $625.00
$10,000 * 1/8 = $1250.00
$25,000 * 1/8 = $3,125.00
Total expected value = $62.50 + $93.75 + $156.25 + $312.50 + $625.00 + $1250.00 + $3,125.00 = $5,050.00
So, the expected amount of money the radio caller should win if the caller gets to spin the wheel once is $5,050.
It's worth to mention that the probability for each prize is the same, but the prizes are not the same so each prize win will be different according to the prize amount.
The expected value doesn't assure that the prize will be won, but it's a good approximation of the prize the caller could win.
Step-by-step explanation:
The gestation period of humans (266 days) is _____ percent longer than the gestation period of lions (108 days).
Answers
The gestation period of humans (266 days) is 146.3% percent longer than the gestation period of lions (108 days).
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.
Given that, gestation period of humans = 266 days and gestation period of lions = 108 days
Number of days taken more by humans in gestation period =
266-108 = 158
Percentage = 158/108 × 100 = 146.3%
Hence, the gestation period of humans (266 days) is 146.3% percent longer than the gestation period of lions (108 days).
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a(n)=6+(n-1)(-2) what its the fourth sixth and thirteenth terms
Answers
Answer:
4th term = 0
6th term = -4
13th term = -18
Step-by-step explanation:
a(n) = 6 + -2(n-1)
a(4) = 6 + (-2)(3) which is 6-6
a(6) = 6 + (-2)(5) which is 6-10
a(13) = 6 + (-2)(12) which is 6-24
rewrite the rectangular equation x^2+y^2-8y=0 as a polar equation
Answers
Answer:
We'll use the following identities:
r = √(x2 + y2), from which we also have r2 = x2 + y2
y = r*sinθ
First, let's re-write your equation:
r = 8*sin(θ). Multiply both sides by r:
r2 = 8r sin(θ)
Now, we'll use substitute using the identities:
x2 + y2 = 8y
Re-arrange and complete the square:
x2 + y2 - 8y = 0
x2 + (y-4)2 - 16 = 0
x2 + (y-4)2 = 16
This represents a circle with center (0,4), and radius 4.
Step-by-step explanation:
sorry if it wrong
A new business borrows $320,000 at a yearly simple interest rate of 7%.
The total
amount the company repays for the loan and interest is $678,400. How long did it
take to pay off the loan? Pls help Mee!!
Answers
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 678400\\ P=\textit{original amount deposited}\dotfill & \$320000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 678400 = 320000[1+(0.07)(t)] \implies \cfrac{678400}{320000}=1+0.07t\implies \cfrac{53}{25}=1+0.07t \\\\\\ \cfrac{53}{25}-1=0.07t\implies \cfrac{28}{25}=0.07t\implies \cfrac{\frac{23}{25}}{0.07}=t\implies \boxed{16=t}[/tex]
Is (2, 3) a solution for the equation 2x + 3y = 6?
Answers
Answer:
No
Step-by-step explanation:
Input the values and see if the equation is true.
2x + 3y = 6
(2, 3) x = 2, y = 3
2(2) + 3(3) = 6
4 + 9 = 6
13 ≠ 6
i am number between 47 and 53 no two of my factors are the same number what number am i
Answers
A number between 47 and 53 such that the prime factors are not repeated is:
3*17 = 51
How to find the number?Remember that any number can be written as a product of prime factors.
If we want to find a number between 47 and 53, such that there are no repeated factors, we just need to take different primes and multiply them.
For example:
2*3*5*7 = 210
There are no repeated factors, but the number is not in the desired range.
2*5*7 = 70
Still not in the range.
You can try some times until you get for example:
3*17 = 51
This a number in the desired range, such that their prime factors are not repeated.
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9. A bag contains 40 slips of paper, numbered 1-40. If one slip is chosen at random, what is the
probability of not choosing a multiple of 10?
Answers
Answer:
The probability is 0.9
Step-by-step explanation:
Suppose that we have a bag with N outcomes (such that these N outcomes have the same probability of being randomly drawn from the bag, we can suppose that the outcomes are given elements, like marbles or something like that.)
Suppose now that there are K of these elements with a given property.
The probability of randomly drawn one of these K elements is equal to the quotient between the number of these elements in the set (K) and the total number of elements in the bag (N)
The probability is: P = K/N
In this case, we know that there are 40 slips of paper, numbered from 1 to 40.
We want to find the probability of NOT choosing a multiple of 10.
The multiples of 10 in that range are:
10*1 = 10
10*2 = 20
10*3 = 30
10*4 = 40
So we have 4 multiples of 10, then we have 36 non-multiples of 10.
The probability of drawing at random a number that is not a multiple of 10, is equal to the quotient between the number of slips of papers with numbers that are not multiples of 10 (36) and the total number of slips of paper (40)
P = 36/40 = 0.9
The probability is 0.9