Answer:
$706Step-by-step explanation:
Mason's straight-time pay for working 40 hours last week was $706.00.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Mason earns $17.65 per hour and he worked 40 hours last week.
To find his straight-time pay, we need to multiply his hourly rate by the number of hours he worked:
Straight time pay = Hourly rate × Number of hours worked
Straight time pay = $17.65/hour × 40 hours
Straight time pay = $706.00
Therefore,
Mason's straight-time pay for working 40 hours last week was $706.00.
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3x - 7y + 10 when x = 4 and y =2
Answer:
8
Step-by-step explanation:
replace x with 4 and y with 2 in the equation
3x - 7y + 10
3(4) - 7(2) + 10
multiply
12 - 14 +10
add
-2 + 10 = 8
Answer:
8
Step-by-step explanation:
you need to multiply 3 and 4
then subtract 7 and 4 and add 10
item A sloppy joe restaurant gave 4 napkins for every 10 items ordered. If someone bought 20 items, how many napkins should they get?
Answer:
They should get 8 napkins
Step-by-step explanation:
4 napkins= 10 items ordered so just do 4x2=8, cause 8 napkins= 20 items.
I hope it helps you!
Bella The Bear~
Answer:
They should get 8 napkins
Step-by-step explanation:
4 napkins= 10 items ordered so just do 4x2=8, cause 8 napkins= 20 items.
I hope it helps you!
~XxBellsAloneXx~
Sound waves entering an area of warmer air
Answer: Sound waves entering a warmer air means that the kinetic energy of the air particles will increase and thus the vibration of particles will be increased and thus the speed of transmission of sound waves increases.
Step-by-step explanation:
At Denver international airport, 85% of recent flights have arrived in time. A sample of 11 flights is studied.
Answer:
Step-by-step explanation:
If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.
This can be solved by:
(0.85x11)= 9.35
Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.
The final answer= 9 flights
What are the advantages of switching a quadratic function from standard form into vertex form? Algebra 2 ( Standard form to Vertex form )
Answer:
See below
Step-by-step explanation:
By switching to vertex form, you not only condense the function so it's easier to solve if it's an equation, but you get information about the function like the vertex and how stretched or compressed it is.
Use a net to find the surface area of the prism.
A. 426m2
B. 213m2
C. 306m2
D. 336m2
The surface area of the rectangular prism in this problem is given as follows:
A. 426 m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.
The dimensions for this problem are given as follows:
5 m, 12 m and 9 m.
Hence the surface area of the prism is given as follows:
S = 2(5 x 12 + 5 x 9 + 12 x 9)
S = 426 m².
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100 points will mark brainliest
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C
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
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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The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??
Answer:
22 is 10 of 220
Step-by-step explanation:
hope it help
Jacob spent $57 at the store.
How much did Jacob spend rounded to the nearest 10? A.$40 b.$50 c.$60 d.$70
The reason that 57 is rounded to 60 is because we have to look at the place next to the one we're supposed to round. The number 7 in 57 is greater than 5, and the rule states that any number greater or equal to 5 would be rounded up. Less than 5 would be rounded down. So therefore, 57 rounded would equal to 60.
Answer:
C. $60
Step-by-step explanation:
......
Please mark brainliest!!!
I really need help please
Answer:
see attached
Step-by-step explanation:
Given a partially-filled circle pattern, you want to place the remaining numbers so the sum in each circle is 21.
ApproachThere are seven (7) circles, and nine (9) unknown values. This means there are a couple of "free choice" values that cannot be found directly. Our approach is to limit the number of possibilities we must examine.
EquationsWe note that if we multiply the sum (21) by the number of circles, that product includes the "single cover" circle shapes once, and each of the overlapping "double cover" areas twice. There are three unknown "single cover" values, and six unknown "double cover" values. If we represent the sums of these by "s" and "d" respectively then we have ...
(10 +11 +6 +4 +s) +2(d +5) = 7×21
41 +d +2s = 147 . . . simplify
d +2s = 106 . . . . . . subtract 41
The total of all of the unplaced numbers is ...
(2 +12 +7 +14 +1 +8 +9 +3 +13) = s +d
69 = s +d
Now, we have two equations in s and d:
d +2s = 106d +s = 69Subtracting the second from the first gives ...
(d +2s) -(d +s) = (106) -(69)
s = 32
The sum s is the sum of 'a', 'b', and 'c' as marked in the attachment. There is only one set of unplaced numbers that has a total of 32: {7, 12, 13}.
Using these numbers means that the set of allowed values for the "double cover" areas is {1, 2, 3, 8, 9, 14}.
Trial and errorWorking clockwise from the space marked 'c' in the attachment, the "double cover" oblong spaces must have the values ...
16 -cc -515 -c6 -(a -c)9 +(a -c)8 -(a -c)As we noted above, {a, b, c} is some permutation of {7, 12, 13}. This means the value (a-c) will be one of ±1, ±5, ±6.
If (a-c) = ±6, then 6 -(a-c) = {0, 12}. Neither value is allowed: 0 is not on the list, and 12 is already used.
If (a-c) = ±5, then we would have ...
for (a-c) = -5, 6 -(a-c) = 11, not an allowed value (already used).
for (a-c) = 5, all of the values 6-5=1, 9+5=14, and 8-5=3 are allowed. This case corresponds to {a, b, c} = {12, 13, 7}.
If (a-c) = ±1, then we would have 6 -(±1) = {5, 7}. Neither value is allowed.
ConclusionThe only allowed choice for {a, b. c} is {12, 13, 7}. Using c=7 and (a-c)=5, the "double cover" values clockwise from 'c' are ...
16-7 = 97 -5 = 215 -7 = 86 -5 = 19 +5 = 148 -5 = 3When all of the values are filled in the diagram it looks like the attachment.
__
Additional comment
As you might imagine, there was a bit of thrashing around before this method of solution presented itself. The system of 7 equations in 9 unknowns cannot be solved directly, and we know of no way to include the requirement that the solution set must include each number of the given set, used only once.
Fortunately, the method we tried here proved to find a solution in fairly straightforward fashion.
Question 2 of 49
Lines AB and XY are best described as which of the following?
A. Perpendicular rays
B. Perpendicular segments
C. Perpendicular lines
D. Parallel lines
Option (b) is the correct answer: Perpendicular segments.
Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.
1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.
2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.
3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.
4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).
Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.
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Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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using the centriod explain the relationship between point z and the triangle. justify with applicable theorem.
4. if the length of gu is 18 units, what is the length of gz?
5. if the length of zt is 4.8 units, what is the length of ot?
show all work
Length of gz = 12 units
Length of ot = 14.4 units
Given,
Triangle EGD with centroid at Z .
Now,
As we know that centroid divides the line segment in the ratio 2:1 .
Firstly calculate the length of gz,
gu = 18 unit
gz:zu = 2:1
gz = 2/3 * 18
gz = 12 units .
Secondly calculate the length of ot,
zt = 4.8 units
oz:zt = 2:1
oz = 4.8 * 2
oz = 9.6 units
ot = 9.6+ 4.8
ot = 14.4 units
Hence with the centroid length of ot and gz can be found out .
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Evaluate a^2b^2? when a = 5 and b = 3.
Answer:
\(D) 7\)
Step-by-step explanation:
\(a^{2} -2b^{2}\)
\(a=5\)
\(b=3\)
\(\left(5\right)^2-2\left(3\right)^2\)
Calculate 5 to the power of 2 and get 25:-
\(25-2\times 3^{2}\)
Calculate 3 to the power of 2 to get 9 and then multiply 2 and 9 to get 18:-
\(25-18\)
\(=7\)
OAmalOHopeO
Carrie's cat weighs 4 pounds. Carrie's dog weighs 5 1/8 times as much as her cat. How much does Carrie's dog weigh?
Answer:
Carrie's dog weighs 20.5 pounds.
Step-by-step explanation:
Weight of cat - 4 pounds
Weight of dog - 5 1/8 times weight of cat
5 1/8 is a mixed fraction, it can be re-written as 41/8
41/8 times 4 = 164/8 = 20.5
So, the dog weighs 20.5 pounds.
what does it mean to say that polynomials form a system analogous to integers
Answer:
Perform arithmetic operations on polynomials.
Step-by-step explanation:Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
How much time will it take Wilson to finish painting the bookcase? Explain.
Select the correct answer. One solution to a quadratic function, f, is given below. Which of the following statements is true about the given function? A. The other solution to function f is . B. The other solution to function f is . C. Function f has no other solutions. D. The other solution to function f is .
The correct option is (2)
For any quadratic equation: ax2 + bx + c = 0.
The complex roots are expressed in the form a ± bi.
where a is the real part
& b is the imaginary part.
Since, one root is √7 + 5i, therefore the other root will be of the form √7 - 5i.
Hence, option (2) is correct.
7.8.1y varies directly as x. y = 50 when x= 5. Find y when x= 16.y =(Simplify your answer.)
If y varies directly as x
x=5 when y= 50
so we can assumme the next equation
y=10x
so
x=16 y=10(16)=160
Kerry invited 23 friends to his pool party. They played a game where everyone had to separate into groups. Each group had the same number of children.The game could not be played with all 24 children in one group and each group had to have more than two children. Which of the following are ways that they could divide into groups? Choose all that apply.
Answer:
24:
6 of 4
or
8 of 3
Step-by-step explanation:
6x4=24
8x3=24
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
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If 4 pounds of cherries cost $10, what is the unit price
Answer:
2.5$ per pound
Step-by-step explanation:
The cost of 4 pounds of cherries cost 10$
So to khow the price of 1 pound we must divide 10 by 4.
● 10/4 = 2.5
So 1 pound costs 2.5$
Amy and Zack each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zack makes his fence 8 feet long. Whose garden has the better area? How much greater?
Answer:
The answer is Zack garden
Deshawn has two bags of marbles. The first bag has 2 blue, 3 orange, and 5 red. The second bag has 4 pink, 10 blue, and 6 brown. If he pulls a marble out of each bag, what is the probability that he will pull out a blue marble from each bag
Answer: 0.1
Step-by-step explanation:
Given
Bag-I has 2 blue,3 orange, 5 red
Bag-II has 4 Pink,10 blue, 6 brown
No of ways of choosing a blue marble from bag-I
\(\Rightarrow ^2C_1\)
Total no of ways of choosing a marble from bag-I
\(\Rightarrow ^{10}C_1\)
No of ways of choosing a blue marble from bag-II
\(\Rightarrow ^{10}C_1\)
Total no of ways of choosing a marble from bag-II
\(\Rightarrow ^{20}C_1\)
The probability that he will pull out a blue marble from each bag is
\(\Rightarrow P=\text{Probability of pulling a blue marble from bag-I}\times \text{Probability of pulling a blue out bag-II}\)
\(\Rightarrow P=\dfrac{^2C_1}{^{10}C_1}\times \dfrac{^{10}C_1}{^{20}C_1}\\\\\Rightarrow P=\dfrac{2}{10}\times \dfrac{10}{20}=\dfrac{1}{10}\)
A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. the joint distribution of y1, the number of contracts awarded to firm a, and y2, the number of contracts awarded to firm b, is given by the entries in the following table. y1 y2 0 1 2 0 1 9 2 9 1 9 1 2 9 2 9 0 2 1 9 0 0 find cov(y1, y2). (round your answer to three decimal places.) cov(y1, y2)
The value of covariance cov(y1, y2) is -0.222
y1
y2 0 1 2 Total
0 1/9 2/9 1/9 4/9
1 2/9 2/9 0 4/9
2 1/9 0 0 1/9
Total 4/9 4/9 1/9 1
marginal distribution of y2:
y2 P(y2) y2P(y2) y2^2P(y2)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1 0.66667 0.88889
E(y2) = 0.6667
E(y2^2) = 0.8889
Var(y2) = E(y2^2)-(E(y2))^2=0.4444
marginal distribution of y1
y1 P(y1) y1P(y1) y1^2P(y1)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1.00 0.6667 0.8889
E(y1) = 0.6667
E(y1^2) = 0.8889
Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444
E(XY) =∑xyP(x,y)=0.2222
Cov(y1,y2) = -0.222
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which is better buy? 4 books for $26 or 6 books for $42
Answer:
4 books for $26
Step-by-step explanation:
To find the better buy, we divide the amount of money spent by the number of books bought. The dividend and divisor with the lesser quotient is the better buy.
26/4 = 6.542/6 = 7Therefore, the better buy is 4 books for $26.
Please help!!! I’ll Mark you brainliest if ccorrect
Answer:
Option B is the correct answer
Step-by-step explanation:
After removing squares with side 4 inch long, the open box will have following dimensions:
Length = x + 9 - 4 - 4 = (x + 1) in
Width = x - 4 - 4 = (x - 8) in
Height = side of square = 4 in
It is given that volume of the open box is 64 cubic inches.
\( \therefore \: l \times w \times h = 64 \: {in}^{3} \\ \\ \purple{ \bold{ (x + 1)(x - 8)(4) = 64 \: {in}^{3} }}\)
A container is filled with water. This container has a small hole. After 20 minutes the amount of water in the container is 600 mL (milliliters). After 60
minutes the amount of water remaining is 200 ml.
How many minutos doos it take for the water to reach 400 mL? Is this reasonable given the context and what you know about linear functions?
It will tako
minutes. This is
because
Answer:
100 minutes and yes
Step-by-step explanation: