Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?
Answers
Oliver earns a total of $260.
What is Ratio?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:
y = kx +c
since this line goes through the origin point. Constant (c) will be zero.
At the point (1, 8 ) k = 8
Hence, Y = 8x
Because hours worked are 20
earning = 8 * 20 = 160
Total earnings = 100 + 160 = 260
Therefore, the Total money that Oliver earns is $260.
Learn more about ratios here:
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Related Questions
given log base3 4 = log base 1/27 k , find the value of k .
Answers
Answer:
k =0.156
Step-by-step explanation:
According to the Question,
We Have To apply Just some Basic Properties of log here.
[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]
0.620/0.4771 = ㏒k / -1.4313
㏒k = -1.86
k = anti㏒(-1.86)
k =0.156
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?
Answer Choices In Picture
Answers
Answer:
First Option
Step-by-step explanation:
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
Answers
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
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Simplify by factorising first
Answers
Answer:
x+8
Step-by-step explanation:
Simplify the numerator
list the factors of 16
16: 1, 2, 4, 8, 16
look for two factors that add up to the b value
in this case it is 18
by looking at the factors 2 and 8 add up 10
so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]
Split the trinomial into two separate binomials each having one of the factors that add up to 10
So it should be [tex]x^{2} +2x and 8x+16[/tex]
Factor both binomials
you can factor an x from the first one
Then it is x(x+2)
Factor an 8 from the second one
8(x+2)
So it should be [tex]x(x+2) 8(x+2)[/tex]
This can rewritten as (x+8)(x+2)
So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]
simplify it by canceling out the two (x+2)'s
this is because (x+2)/(x+2) is 1
Finally you get x+8
Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take
Answers
Time = distance / speed
Time = 450 miles / 65 miles per hour
Time = 6.9 hours
don't mind the purple dot
Answers
Answer:
option A
Step-by-step explanation:
22 : 15 + 10hours = 8 : 15
8 : 15 + 35 minutes = 8 : 50
Therefore the difference = 10 hours 35 minutes
Please help me with these three questions...
I will be really thankful for help
Answers
Answer:
1. Terminating
2. 60
3. I don't know
Step-by-step explanation:
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answers
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.
Answers
Answer:
First Term = 6
Common Ratio = 3
Step-by-step explanation:
According to the Question,
Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .
The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .Now, on solving [tex]\frac{S_{8} }{S_{4} }[/tex] we get,
[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]
[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]
[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )
So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .
Use the number line to find the measure of SV please help
Answers
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
can someone help me please
Answers
Area: 24cm^2
Hope this helped!! :) xxoo Have a nice day!
Answer:
8. B
9. B
Step-by-step explanation:
add all sides to get perimeter
multiply sections of the area to get area (length times width)
PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]
Answers
Answer:
98.97
Step-by-step explanation:
I used my notes on page 34
During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.
Answers
Answer:
354 $ is correct
Step-by-step explanation:
your v id dead
NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answers
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Make 'r' the subject of this formula: 3r - 5 = p
Answers
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
3r = p + 5
r = p + 5/3
mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?
Answers
1. Convert the quinary number 42 into binary number.
Answers
Answer:
42 in binary number is 101010.
I will pay for the answer.
Answers
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?
Answers
Answer:
Red=10 Pink=30
Step-by-step explanation:
you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red
Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared
Answers
Answer:
55.1 ft ; 236.7 ft^2
Step-by-step explanation:
radius = 7.5 ft
Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft
Perimeter of the rectangle = 4 * 2 = 8 ft
Total perimeter = 55,12389 ft
Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2
Area of the rectangle = 4 * 15 = 60 ft^2
Total area = 236,714587 ft^2
hELPpppPpPP pLEAaSSEEseE
Answers
Volume = LxWxH = (xy)^3 = x^3y^3
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answers
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
i need help asap Please
Answers
Answer: F. is a linear relation.
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Equation of the eventual line:
(y-4)/(5-4) = x
y-4 = x
y = x + 4
this equation can’t be used to determine the last three values. In fact, for examples:
7 = 2 + 4
7 = 6 (false)
So the relation is non linear
CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.
Answers
Answer:
what do you need help with?
Step-by-step explanation:
Financial software can do all of the following except ____.
A.
prepare your taxes
B.
apply for loans
C.
keep track of expenses
D.
monitor your savings
Answers
Answer: Apply for loans
Step-by-step explanation:
I just took the quiz off gradpoint :) trust me its right!!!!
Use Venn diagrams notation to describe the shading of
A
B
Answers
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B
state wether the product of √3 and √9 is rational or irrational. explain your answer
Answers
√9 is rational and √3 irrational number
Hi guys pls answer this it’s easy tbh
Answers
Answer:
this is the accurate answer of your questions
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answers
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .