the book is sold for 5.4 dollars at a profit of 8% on the cost price what was the cost price
please help
Answer:
5.4*0.08=0.432 or
43 cents
Hope This Helps!!!
Which relationship is represented by the graph?
Radius of a circle vs. its diameter
Circumference of a circle vs. its diameter
Area of a circle vs. its diameter
Explain your thinking.
This is because the diameter is independent towards the
unlabeled axis; just like how the circumference is depending on
the diameter.
>
What is the constant of proportionality?
The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.
Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!
Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
What is Graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The relationship between diameter of circle and radius of circle is d=2r
Relationship between Area of a circle vs. its diameter
Area of circle=π(d/2)²
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.
The x and y values are proportional because they'll continue to move at the same rate.
Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
50 Points! Please only answer if you know! Thank you.
Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.
Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.
A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)
Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
Answer:
See belowStep-by-step explanation:
A) 3x - 9y > 27
x- intercept at y = 0 is:
3x = 27x = 9y-intercept at x = 0 is:
- 9y = 27y = -3Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).
B) (y-3) ≤ -4/3 (x+7)
Use one point from the equation:
(-7, 3)Find the second point using the slope - 4/3, add 3 to x and - 4 to y:
x = -7 + 3 = - 4y = 3 - 4 = - 1Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).
Shade the area below the line (because y ≤ ).
500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75
No 182 195
Total 500
a. In this sample, what proportion of children are boys? (Round your answer to the nearest hundredth)
b. What proportion of boys read books for fun every day? (Round your answer to the nearest hundredth)
c. What proportion of girls read books for fun every day? (Round your answer to the nearest hundredth)
d. Based on the findings, does the likelihood of reading books for fun depend on the gender of a child? Explain.
e. If a child is selected at random, find the probability that the child reads book for fun. (Round your answer to the nearest hundredth)
f. If a child is selected at random, find the probability that the child is a girl AND reads book for fun. (Round your answer to the nearest hundredth)
g. If a child is selected at random, find the probability that the child is a girl OR reads book for fun. (Round your answer to the nearest hundredth)
h. If a child is selected at random, find the probability that the child reads book for fun GIVEN that the child is a girl. (Round your answer to the nearest hundredth)
500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75 123
No 182 195 377
Total 230 270 500
What are proportions?A proportion is the number of desired outcomes divided by the number of total outcomes.
a. Proportion of children that are boys.There are 500 children and 230 are boys.
230/500 = 0.46
b. Proportion of boys who read books for fun every day.There are 230 boys and 48 read books for fun every day.
48/230 = 0.21
c. Proportion of girls who read books for fun every day.There are 270 girls and 75 read books for fun every day.
75/270 = 0.28
d. Does the likelihood of reading books for fun depend on the gender of a child?Based on the results from b and c, it would seem more likely for a girl to read books for fun than for a boy.
e. For a child selected at random, what is the probability that the child reads books for fun?There are 500 children and 123 read books for fun.
P = 123/500 = 0.25
f. For a child selected at random, what is the probability that the child is a girl and reads books for fun?There are 500 children and 75 are girls who read books for fun.
P = 75/500 = 0.15
g. For a child selected at random, what is the probability that the child is a girl or reads books for fun?There are 500 children. The favorable cases are the girls (270) plus the children who read books for fun (123) minus the girls who read books for fun (75).
P = (270 + 123 - 75)/500 = 0.64
h. For a child selected at random, what is the probability that the child reads books for fun given that the child is a girl.There are 270 girls and 75 of them read books for fun.
P = 75/270 = 0.28
a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.Learn more about proportions here: https://brainly.com/question/25259185
I 13.12.21 Mather asianmen I choose the best answert the next two numbers in the pattern 1, 4, 9, 16 are. (A) 26,36 (B) 25, 36 (C) 24,35 (D) 36,48
Answer:
(B) 25, 36
Step-by-step explanation:
1 = 1²
4 = 2²
9 = 3²
16 = 4²
25 = 5²
35 = 6²
Find the slope and y-Intercept of the line in the graph. Drag and drop each number into the correct box
to complete the statement.
7
(0,5)
4 3
2
1
0
(3,-1)
-1
-2
3
TO
de
8 7
0 1 2
55
The slope is m
and they-intercept is b =
Answer:
slope = - 2, y- intercept = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line
m = [tex]\frac{-1-5}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The y- intercept is the point on the y- axis where the line crosses
The y- intercept = 5
Assuming that the data for all employees follows the same pattern, which kind of relationship is
there between years of higher education and current salary?
A- a clustered relationship
B- there is no relationship
C- a negative correlation
D- a positive correlation
Answer:
D- A POSITIVE CORRELATION
Determine whether the ratios 8:7 and 15:14 are equivalent
Answer:
They are not
Step-by-step explanation:
We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:
15:14
\/
7.5:7 ≠ 8:7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I Need help asap PLS HURRY
A cable is 40 decimeters long. How long is the cable in meters?
Be sure to include the correct unit in your answer.
Answer:
4 Meters
Step-by-step explanation:
Formula
divide the length value by 10
The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants?
Answer: C.
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
2 1/4 x 3 1/5 i need help
Answer:
7 1/5
Step-by-step explanation:
2 1/4 * 3 1/5
Change to improper fractions
2 1/4 = (4*2+1)/4 = 9/4
3 1/5 = (5*3+1)/5 = 16/5
9/4 * 16/5
Rewriting
9/5 * 16/4
9/5 * 4/1
36/5
Change back to a mixed number
7 1/5
someone help me on these 2 questions asap! 50 points!!
Step-by-step explanation:
earbuds
we have a 1in : 0.2in scale of drawing to reality.
0.2 = 2/10 = 1/5
so, 1in in the drawing is actually 1/5in in reality.
how long are the 4in in the drawing ?
well, 4 times the 1in thing.
4×1/5 = 4/5 = 0.8in long
again the similar triangles
similar triangles means that each pair of corresponding lines (sides, heights, ...) in the triangles follows the same scaling factor for the length.
so, what do I need to multiply the side of the large triangle with to get the corresponding side length of the small triangle ?
27 × x = 9
x = 9/27 = 1/3
and that is the scale factor.
Help help help help help
Answer:
1,3
Step-by-step explanation:
1 belongs in the green box because on a graph, you start from the x axis which is the horizontal line. The dot is on top of the 1, so the green box would be 1. On the vertical line, the dot is next to the 3, so 3 would go in the grey box.
Can someone please help me with this? I will give brainlist :(
Answer:
2nd
Step-by-step explanation:
The second one
let f be the function given by f(x)=sin x + e^-x +3x. which of the following statements is true for y=f(x).
Applying derivatives, it is found that the correct options are:
A. [tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
D. [tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
The function given is:
[tex]f(x) = \sin{x} + e^{-x} + 3x[/tex]
It's first four derivatives are:
[tex]y^{\prime}(x) = \cos{x} - e^{-x} + 3[/tex]
[tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
Hence, option A is correct.
[tex]y^{\prime\prime\prime}(x) = -cos{x} - e^{-x}[/tex]
[tex]y^{\prime\prime\prime}(x) \neq y^{\prime}(x)[/tex], hence, option B is incorrect.
[tex]y^{\prime\prime\prime\prime}(x) = sin{x} + e^{-x}[/tex]
It is not the multiplication of the first and of the third derivative, hence option C is incorrect.
[tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
[tex]\sin{x} + e^{-x} + 3x - \sin{x} - e^{-x} = 3x[/tex]
[tex]3x = 3x[/tex]
Hence, option D is correct.
A similar problem is given at https://brainly.com/question/17042788
how do you find the y intercept on a table
Answer:
y-intercept is 10. The y-intercept is where the line crosses with the y-axis line. The y-axis line is when x = 0.
HELP WITH VENN DIAGRAMS PLEASE ILL GIVE BRAINLIEST
Answer:
When selecting physics students at random, there is a 60% chance to select a student who also studies math.
Step-by-step explanation:
27 students studied math and physics.
27 + 18 = 45 students studied physics.
You can ignore the rest of the numbers because of this:
"given that they study physics".
Physics students are our total population now, and 27 of the 45 physics students study both math and physics.
[tex]\frac{27}{45} =0.6[/tex]
When selecting physics students at random, there is a 60% chance to select a student who also studies math.
Two numbers are in the ratio 7:10 If the larger number is 140,what is the smaller number
Given that nos. are in ratio 7:10
The larger no. is 140
Let the smaller no. be x
Using ratio and proportion
7 : 10 :: x : 140
⇒10 × x = 140 × 7
[tex]⇒x = \frac{140 \times 7}{10} = 98 \\ [/tex]
- BRAINLIEST ANSWERER
Answer:
[tex] \frac{7}{10 } = \frac{x}{140} [/tex]
[tex] \frac{7 \times 140}{10 \times x} [/tex]
[tex] \frac{980}{10} [/tex]
[tex]98[/tex]
ANSWER IS 98
98 IS THE SMALLEST NUMBERMartin is buying inkjet cartridges that cost $22 each. He has $100 to pay for the cartridges.
Which number line shows the number of cartridges Martin can buy?
Answer: C
Step-by-step explanation:
lets think about it
you can totally buy 0 ink cartridges. you can just be like "nope ok im gone, no ink today, the prices are so high.. maybe another time. maybe ill use the school printer or smth"
so that ELIMINATES B.
and now A and D are strange because how exactly are we going to buy half of an ink cartridge? or a fraction of an ink cartridge? that simply isnt feasible
so this eliminates A and D
now C is the best because you can buy 0, 1, 2, 3, 4 ink cartridges. but not 5 because that is $110 and Martin dont got that money, am i right fellas?
Answer:
The Answer Is C
Step-by-step explanation:
The cost of producing key chains with the company logo printed on them consists
of a onetime setup fee of $265.00 plus $0.90 for each key chain produced. This
cost can be calculated using the formula C = 265.00 +0.90p, where p represents
the number of key chains produced and C is the cost. Use the formula to calculate
the cost of producing 2700 key chains.
Answer:
$2695
Step-by-step explanation:
$265 + $0.90p=C
To find out the value of C (cost), we must solve the equation by replacing P (number of keychains) with the given value, 2700.
265 + 0.90(2700) = C
Now, we use order of operations. (PEMDAS)
In this case, the parentheses stand for multiplication. Since multiplication comes first, we multiply 0.90 by 2700.
The product of 0.90(2700) is 2430.
Our new equation should look like this
265 + 2430=C
Adding those together you get 2695, to finish this off, C=$2695
(Side note: be sure to identify what the value is, for example 2695 is the cost of producing 2700 key chains, meaning it's $)
I hope this made sense and helped lol
can you help me to my module
Answer:
Yes, what is your question
Step-by-step explanation:
Answer:
yes what is your question
Need help please to this question
Answer:
c
Step-by-step explanation:
x=slope
y=intercept
The slope is put in front of the x and then you would add the y intercept.
Answer: c. y = -3x + 4
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?
solve using a system of equations. will mark brainliest for correct answer and working
Answer:
2 6/7 km/hStep-by-step explanation:
t - time spent by boat, s - speed of the raft
time = distance / speed
Equations:
t = 20 / 12t + 5 h 20 m = 20 / sTime the patrol-boat spent:
t = 20/12 = 5/3 hTime the raft spent:
5 h 20 min + t = 5 1/3 + 5/3 =16/3 + 5/3 =21/3 =7 hoursThe speed of the raft:
7 = 20/ss = 20/7s = 2 6/7 km/hPls help me with these Worksheets :(
My brain cells aren't working lol
(AGAIN IF YOU DON'T KNOW THE ANSWERS PLS JUST IGNORE THIS!)
Answer:
I'm sorry. It's messy ik.
For number 5 that I haven't done, I don't get the answer :((( so...
But basically, the speed is found by multiplying the distance and time. The distance is the same either you go upstream or downstream. Hope it help!
Answer:
Step-by-step explanation:
I'll do #5 second page
let (v) be rowing velocity in still water
let (s) be the stream velocity
d = vt
going downstream
24 = (v + s)4
24 = 4v + 4s
4s = 24 - 4v
s = 6 - v
going upstream
24 = (v - s)6
24 = 6v - 6s
24 = 6v - 6(6 - v)
24 = 6v - 36 + 6v
60 = 12v
v = 5 km/hr
s = 6 - 5 = 1 km/hr
Estimate each product 11.9×21=
Answer:
249.9
uhm.. correct me if im wrong
i need help on this math problem
Answer:
Natalie pays $9 every week.
d = 9w + 72
Step-by-step explanation:
[tex]x^{2}[/tex] = 6
Answer:
Take the root of both sides and solve.
[tex]x = \sqrt{6} , - \sqrt{6} [/tex]
Answer:
Take the root of both sides and solve:
[tex]x = \sqrt{6}, - \sqrt{6} [/tex]
Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.
Answer:
6 km/hr
Step-by-step explanation:
Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.
Solve
[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]
Therefore, it is 6.
in
given points.
1. (10,4), (4, 15)
Find the slope of the line.
Answer:
[tex]m = -\frac{11}{6}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}[/tex]
Hope this helps.