Answer:
5.96 x 36 = 214.56.
286.08 - 214.56 = 71.52
71.52 divided by 8.94 = 8.
He worked 8 additional hours.
Answer:
The worker worked about 8 hours overtime.
Step-by-step
First we figure out how much they made without overtime.
Multiply 5.96 x 36 and you would get 214.56
Then we figure out how many hours he worked overtime
Multiply 8.94 times 8 and you would get 71.52
Then take 214.56 and add 71.52, you would get 286.08, the answer is 8 hours overtime.
Graph the solution to the system
-x+y>2
X+2y>2
Answer:
[tex]\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}[/tex]
Step-by-step explanation:
Step 1: Solve the system of equations
[tex]\begin{bmatrix}-x+y>2\\ x+2y>2\end{bmatrix}[/tex]
Isolate [tex]y[/tex] for [tex]-x+y>2[/tex]
[tex]\mathrm{Add\:}x\mathrm{\:to\:both\:sides}[/tex]
[tex]-x+y+x>2+x[/tex]
[tex]y>2+x[/tex]
Isolate [tex]y[/tex] for [tex]x+2y>2[/tex]
[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]
[tex]2y>2-x[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2y}{2}>\frac{2}{2}-\frac{x}{2}[/tex]
[tex]y>\frac{2-x}{2}[/tex]
[tex]\bold{=\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}}[/tex]
Step 2: Graph
Instructions for graphing:
[tex]\mathrm{1.\:Graph\:each\:inequality\:separately.}[/tex]
[tex]\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}[/tex]
[tex]3. \mathrm{The\:solution\:to\:the\:system\:will\:be\:the\:area\:where\:the\:shadings\:}\\\mathrm{from\:each\:inequality\:overlap\:one\:another.}[/tex]
When done, it should look like this:
Approximately what portion of the circle is shaded blue?
A. 2/3
B. 2/10 C.2/5
Answer:
2/5
Step-by-step explanation:
Try to make equal sections. The fraction they are asking for has the shaded number of sections on top (this us called the numerator) and the total number of sections on the bottom (this is called the denominator) see image
Apply the zero product property to solve the equation below:
x (x + 2) = 0
Answer:
0(-2+2)=0
Step-by-step explanation:
x=0
x=-2
0(-2+2)=0
find the value
9-2(--6-4)
Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:
Answer:
C
Step-by-step explanation:
32 / 4 = 8
56 / 7 = 8
64 / 8 = 8
Overview
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10 11 12
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Question Progress
Homework Progress
4735
The length of a rectangle is twice its width.
The perimeter of the rectangle is 41 cm.
Label the diagram with the correct length and width for the rectangle.
cm
cm
Answer:
Width=6 5/6cm and Length=13 2/3cm
Step-by-step explanation:
Lets have width=x
Therefore, 4x+2x=41cm
6x=41cm
x=41/6=6 5/6
the width is 6 5/6 cm and length 41/3=13 2/3
PLEASE help me answer this!!!
Check the picture below.
Help me pleaseeeee?????
Answer:
The data covers 58 to 86 = 28 for the total distance
Each quartile will occupy a difference of 28/4 = 7
58 - 65 = first quartile (or lower quartile)
65 - 72 = second quartile
72 - 79 = third quartile
79 - 86 = fourth quartile (or upper quartile)
Notice that the first quartile ends at 65 and the second quartile starts at 65
If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive
The median is the middle point or 58 + 14 = 72
14 points lie in the range of 58 to 72 and
14 points lie in the range of 72 to 86
Plz help I need help
Curtis has a board that is 3/4 of a yard long he cuts it to make shelves that are 1/8 of a yard long how many shelves will there be after he cuts the board ?
The number of shelves would be 6.
The length of the board and the shelves are fractions. A fraction is made up of a numerator and a denominator. An example of a fraction is 1/8. 1 is the numerator and 8 is the denominator.
In order to determine the number of shelves Curtis cut, we would divide the length of the board by the length of each shelf.
Number of shelves = length of the board / length of the shelf
3/4 ÷ 1/8
3/4 x 8 = 6
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
Guys I need your help
There are 16 ounces in 1 pound John is mailing a package that weighs 10 pounds he wants to know the weight of the package in 1 ounce complete the statement to describe how to convert pounds to ounces to find weigh in ounces blank the number of pounds by unit rate blank ounces per pound
Answer:
multiply
16
Step-by-step explanation:
yeah-ya....... right?
I MARK BRAINLIEST AND 50 points!!! find the magnitude of the resultant. forces of 92.6 lb and 118 lb act on an object. the angle between the forces is 75.2°.
a) 208 lb
b) 130 lb
c ) 168 lb
d) 150 lb
Answer:
This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.
Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.
The magnitude of the resultant force can be found by applying the law of cosines:
c2 = a2 + b2 - 2abcos140°
where a = 80, b = 70 and c is the resultant force vector you are asked to find
Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:
sinα/a = sin140°/c
where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs
Step-by-step explanation
You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.
a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)
b) How much will you need to deposit each month until retirement to achieve your retirement goals?
c) How much did you deposit into you retirement account?
d) How much did you receive in payments during retirement?
e) How much of the money you received was interest?
Answer:
use calculator
Step-by-step explanation:
Which graph shows a function and it’s inverse?
HELP PLEASE
Answer:
C
Step-by-step explanation:
A function and its inverse are obtained by reflecting in the line y = x
Under a reflection in the line y = x
a point (x, y ) → (y, x )
In graph C
the red line has a point (0, 2 )
the blue line has a point (2, 0 )
Then graph C shows a function and its inverse
for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
Recall the half-angle identity for sine,
sin²(x/2) = (1 - cos(x))/2
Then the given equation is identical to
sin²(θ) = 1 - cos(θ)
Also recall the Pythagorean identity,
sin²(θ) + cos²(θ) = 1
Then we rewrite the equation as
1 - cos²(θ) = 1 - cos(θ)
Factoring the left side, we have
(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)
and so
(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0
and we factor this further as
(1 - cos(θ)) (1 + cos(θ) - 1) = 0
which gives
cos(θ) (1 - cos(θ)) = 0
Then either
cos(θ) = 0 or 1 - cos(θ) = 0
cos(θ) = 0 or cos(θ) = 1
[θ = arccos(0) + 2nπ or θ = -arccos(0) + 2nπ]
… or [θ = arccos(1) + 2nπ or θ = -arccos(1) + 2nπ]
(where n is any integer)
[θ = π/2 + 2nπ or θ = -π/2 + 2nπ] or [θ = 0 + 2nπ]
In the interval 0 ≤ θ < 2π, we get three solutions:
• first solution set with n = 0 ⇒ θ = π/2
• second solution set with n = 1 ⇒ θ = 3π/2
• third solution set with n = 0 ⇒ θ = 0
So, the first choice is correct.
Which of the following equations represent a proportional
relationship?
Select two answers
Answer:
A it should be if not sorry :(
Good Luck :)
Step-by-step explanation:
PLZ HELP ASAP I NEED A ANSWER!!
Which characteristics did early Japanese, Chinese, and Korean civilizations share?
They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.
Answer:
When looking at the feudal system, which is a notable difference between Japanese Samurai and European Knights? Japanese Samurai were not considered part of the higher class. European Knights were not part of the military. Japanese Samurai were highly educated.
Step-by-step explanation:
hey yo how is this math
according to Ms. Duckett, what is important to remember about finances?
Answer:
Being financially literate helps a person to distinguish between financial decisions that will be beneficial, and that will be detrimental to their financial future. Having a plan for your finances will help you meet your short and long-term needs, without going beyond your income
Step-by-step explanation:
Ppbags where here
Simplify 1.25 (-x -4)
Answer:
1.25(-xsquare - 8x + 16)
Step-by-step explanation:
pls give me brainliest
I'm not sure but I think so
please help me in this question
3(x-2)=2x+10
Answer:
[tex]3(x-2)=2x+10\\3x-6=2x+10 | +6\\3x=2x+16 | -2x\\x = 16[/tex]
30.
a) [tex]180^{0} - 134^0-22^0=24^0[/tex]
[tex]r=24^0[/tex]
b)
[tex]90^0=2x^0+3x^0\\90^0=5x^0 |:5\\x^0=18^0[/tex]
[tex]2x^0= 2* 18^0=36^0[/tex]
[tex]3x^0=3*18^0=54^0[/tex]
Take care!
What is the horizontal asymptote of j(x)=14x^3+45/2x^3+x+9
Answer:
It's C! y = 7
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
it is d
Step-by-step explanation:
I need the answers for this please
Answer:
A AND B IS TRUE C IS FALSE
Step-by-step explanation:
135% as a fraction or a mixed number fully simplified please
Answer:
135% = 27/20 = 17/20 as a fraction
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
135% = 135/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 135 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(135,100) = 5. So,
(135÷5)/(100÷5) = 27/20 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 135/100 is also equal to 1 7/20 when expressed as a mixed number.
5. Maribel makes bead necklaces. She uses a
ratio of 4:2:3 when threading green, brown and
yellow beads on the wire. How many green and
yellow beads will Maribel use for a necklace
Icontaining a total of 117 beads?
A. 52 green beads; 39 yellow beads
B. 52 green beads; 26 yellow beads
C. 26 green beads; 52 yellow beads
D. 39 green beads; 52 yellow beads
Answer:
A. 52 green beads; 39 yellow beads
Step-by-step explanation:
See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The
Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.
G: 52 Beads
B: 26 Beads
Y: 39 Beads
12a^2*b^4-36a^2*b+44abc
Let's simplify step-by-step.
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
There are no like terms.
Answer:
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
Help me plzzzzzzz! I need this today!
Answer:
it looks like y int is about 2550
Step-by-step explanation:
The perimeter of a rectangle is 39.2 km, and its diagonal length is 14 km.
Find its length and width
Using the formulas to find its length =
P= 2 ( l + w )
d= w² + l²
There are 2 solutions for,
l = P / 4 + 1 / 4 √8d² - p²
= 39.2 / 4 + 1 / 4 × √8 × 14² - 39²
= 11. 2 km answer.
Using the formula to find its width =
w = p / 2 - l
= 39.2 / 2 - 11.2
= 8.4 km answer.
≈ the length of a rectangle is 11.2 km and the width is 8.4 km
According to the histogram of travel times to work from the US 2000 census (Page 6 of "Journey to Work: 2000"), roughly what percentage of commuters travel more than 45 minutes?
Histograms are used to represent data, where the length of each bar represents the frequency of the data element
The histogram is not given; So, I will give a general explanation.
Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.
The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.
So, we have:
[tex]\%Percentage = \frac{450}{500}[/tex]
Divide 450 by 500
[tex]\%Percentage = 0.9[/tex]
Express as percentage
[tex]\%Percentage = 90\%[/tex]
Hence, the percentage of commuters that travel more than 45 minutes is 90%
Read more about histograms at:
https://brainly.com/question/2776232
A hose fills a pool up at a rate of 15 gallons every 2 hours. At this rate how many
gallons of water will be in the pool in 24 hours?
Answer:
there will be 180 gallons of water in the pool after 24 hours
Step-by-step explanation:
[tex]\frac{15}{2} *\frac{12}{12}= \frac{180}{24}[/tex]
Answer:
180 gallons
Step-by-step explanation:
Ok so,
2 hours = 15 gallons.
if we multiply both sides by 12 we can find out how many gallons of water will be in the pool in 24 hours
2 x 12 = 24
15 x 12 = 180
There will be 180 gallons of water in the pool after 24 hours.