Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
The total number of pages that he read will be 210 pages.
Based on the equation given, the equation to represent Amir's information will be:
y = 35 × x
y = 35x
Jesse's equation will be:
y = 30(x + 1)
Then, we'll equate both equations together. This will be:
35x = 30(x + 1)
35x = 30x + 30
35x - 30x = 30
5x = 30
x = 30/5
x = 6
Therefore, the number of pages read will be:
y = 35x
y = 35 × 6
y = 210 pages.
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what is the equation to any vertical asymptotes or the x coordinations of any points of discontinuity?
f(x)=2/x-4
Answer:
748 is the answer
Step-by-step explanation: toda
Three salesmen are working for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
1. For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week.
Answer:
A:
p = 65s, 0《s《20
p = 1300, s > 20
B:
p = 300 + 40s, s》0
C:
p = 900
Step-by-step explanation:
Salmesman A:
p = 65s
65s = 1300
s = 20
Salesman B:
p = 300 + 40s
Salesman C:
p = 900
Answer:
A:
p = 65s, 0《s《20
p = 1300, s > 20
B:
p = 300 + 40s, s》0
C:
p = 900
Step-by-step explanation:
Salmesman A:
p = 65s
65s = 1300
s = 20
Salesman B:
p = 300 + 40s
Salesman C:
p = 900
Step-by-step explanation:
Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?
shift 4 units left, reflect over the x-axis, shift 2 units down
shift 4 units left, reflect over the y-axis, shift 2 units down
shift 4 units right, reflect over the x-axis, shift 2 units down
shift 4 units right, reflect over the y-axis, shift 2 units down
Answer:
A. on EDG
Step-by-step explanation:
took quiz!!!!!
Answer: A
Step-by-step explanation:
edge 2023
Find the common ratio for the geometric sequence of, 162, 108, 72, 48 ......
A- -3/2
B- -2/3
C- 2/3
D- 3/2
2/3Answer:
Step-by-step explanation:
Solve triangles using the law of cosines
Find AB.
Round to the nearest tenth.
Answer:
From the Law of cosines we see that Line AB^2 (or side c^2) equals
AB^2 = a^2 + b^2 -2ab *cos (C)
AB^2 = 6*6 + 7*7 -2*6 * 7 * cos(59)
AB^2 = 85 -84 * 0.51504
AB^2 = 85 - 43.26336
AB^2 = 41.73664
AB = 6.4603900811
AB = 6.5 (rounded)
Step-by-step explanation:
Which operation should be used to solve x + 3 = 7?
Answer:
You can use the Subtraction property of equality
You have to subtract 3 on both sides to have x alone, which will give you x=4
Answer:
SUbtraction
7-3=4 so X is 4
Step-by-step explanation:
Find the measure of and angle between o degrees and 360 degrees coterminal with an angle of 399 degrees in standard position
Answer:
39 degrees.
Step-by-step explanation:
We want an angle x such that 0 < x < 360 and angle x is coterminal with an angle of measure 399 degrees.
so x = 399 - 360 = 39 degrees
A box contains 50 cups. It is a mix of plastic and paper cups. Simon chooses a cup out of the bag, without looking, records the cup type, and then places that cup back in the bag. Simon has recorded 24 plastic cups and 26 paper cups. Using these results, predict the number of plastic cups in the bag.
Answer:
I think the plastic cup are 24
8. A polyhedron has 15 edges and 10 vertices. How many faces does it
have? *
Answer:
In geometry, the pentagonal prism is a prism with a pentagonal base. It has with 7 faces, 15 edges, and 10 vertices
Step-by-step explanation:
Which decimal is equivalent to 2/9?
A. 2.2
B. 2.9
C. 22222
D. 0.2
Answer:
The answer is 0.2. It is an irrational number with a repeating 2. It should have a line over the two to represent it repeating.
Step-by-step explanation:
First divide 2 by 9.
Use a calculator or do it by hand.
You get your answer.
Option D is correct, the decimal which is equivalent to the fraction 2/9 is 0.2
The given fraction is two divided by nine, 2/9
Two is the numerator and nine is the denominator
We have to find the equivalent decimal number of fraction 2/9
To do this we have to divide 2 by number nine
When two is divided by nine we get 0.222
2/9 =0.22
=0.2
Hence, the decimal which is equivalent to the fraction 2/9 is 0.2, option D is correct.
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What is equivalent to (3x^2y)(10x^5y^3)???
Answer:
[tex]30x^{7} y^{4}[/tex]
Step-by-step explanation:
simplify
Final answer:
The equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4, obtained by multiplying the coefficients and adding the exponents of like bases.
Explanation:
The question asks for the equivalent expression of the product (3x^2y)(10x^5y^3).
To find the equivalent expression, we need to apply the properties of exponents, which state that when multiplying two powers with the same base, we add the exponents. We can also multiply the coefficients in a usual way. Let's break it down into steps:
Multiply the coefficients (numbers outside the exponents): 3 × 10 = 30.
Add the exponents of x: x^2 × x^5 = x^(2+5) = x^7.
Add the exponents of y: y^1 × y^3 = y^(1+3) = y^4.
Combine the results: 30x^7y^4.
Therefore, the equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4.
answer quick for brainliest...
Answer:
B-y=2
Step-by-step explanation:
y= 2x-2
X=2
y=2(2)-2
y=4-2
y=2
What is the √84 in radian form?
Common difference between 31,26,21,16
I like to work backwards to see if the common difference is the same.
So I take 16 and work to the left.
So I say 16 - 21 which is -5.
Then I do 21 - 26 which is -5.
Finally, 26 - 31 which is -5.
So what I am doing here is just taking the number that is on the right and subtracting it by the number that appears to the left of it.
Notice that I always get -5 and that has to be because in order for this to have a common difference, the result must always be the same if you are working with the method I used above.
So, our common difference is -5.
Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.
1. (x + 3)(x + 4) = 12
2. x + 3 = 12 or x + 4 = 12
3. x = 9 or x = 8
Answer:
Percy is incorrect
Step-by-step explanation:
I plugged in 9 and 8 for x and both of them did NOT solve it. The only number I know of that can solve it is -7. -7^2=49
-7 multiplied by 7 =-49
(49) + (-49) + 12 = 12
Answer:
Percy was not correct.
Percy did not write the equation in standard form before factoring.
The correct solutions are 0 and –7.
The equation should have first been written as x2 + 7x = 0 before factoring.
The solutions 8 and 9 do not make the equation true.
Step-by-step explanation:
I think the answer is letter C, can someone check me and make sure that is correct.
Answer:
You're Correct
Step-by-step explanation:
Keep up your good work
The graph shows the inverse of which function?
Find the exact value of cos 15°
Answer:
[tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Step-by-step explanation:
Using the difference formula for cosine and the exact values
cos45° = sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex], sin30° = [tex]\frac{1}{2}[/tex]
cos(a - b) = cosacosb + sinasinb
Note 15° = 45° - 30°, thus
cos15°
= cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Answer:
[tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]
Step-by-step explanation:
how do i calculate the standard deviation?
Answer:
1.Work out the Mean (the simple average of the numbers)
2.Then for each number: subtract the Mean and square the result.
3.Then work out the mean of those squared differences.
4.Take the square root of that and we are done!
Step-by-step explanation:
Answer:
To calculate the standard deviation of those numbers: Work out the Mean the simple average of the numbers. Then for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. It was easy. Have a great day.
Step-by-step explanation:
Brainliest!
The answers I don’t really understand the question
For step one, they want you to factor 5,000 into a 5 and ?. To find the missing value, we can divide:
5,000 / 5 = 1,000
So, 1000 goes in the first blank.
For step two, 1,000 also goes in the second blank since the first 2 numbers are being multiplied.
For step three, multiply the last two numbers.
30 * 1000 = 30,000
So, 30000 goes in the last blank.
Best of Luck!
Answer: 30000 goes in the last one
Step-by-step explanation:
What is the base of y=Inx
Answer:
The base is natural number e = 2.71828...
Step-by-step explanation:
By definition of natural log, the base is e = 2.71828...
The base of the function y = ln(x) is the irrational number e (approximately 2.71828).
Explanation:The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.
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What is the mode for 20 sites?
The answer is 2 and 1. Hope this help btw
The length of a rectangle is 9 inches less than twice the width . If the perimeter of the rectangle is 84 inches find the dimensions of the rectangle
Answer:
25 by 17
Step-by-step explanation:
9x2=18
84=18= 102
102/6 = 17 (width)
17x2-9=25 (length)
If f(x) = 2x-3, find f(-2).
Answer:
F(2)=-7
Step-by-step explanation:
f(-2)=2x-3
you substitute the x on the positive 2
2(-2)=-4
-4-3-=7
-7
Hence the result of the function is x is -2 is -7
Given the function f(x) = 2x-3,
Domain of a function is the input value for which the function exists.
The range of the function is the output value for which the function exists
From the question, we can see that we are to find the resulting range if the domain of the function is -2.
To get f(-2), we will need to substitute x as 2 into the function as shown
f(-2) = 2(-2) - 3
f(-2) = -4 - 3
f(-2) = -7
Hence the result of the range with the domain of -2 is -7
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I’ll give out brainliest just please help me out ((trigonometry))
A radio station tower was built in 2 sections. From a point 97 from the base of the tower, the angle of elevation of the top of the first section is 25, and the angle of elevation of the top of the second section is 40.
To the nearest foot, what is the height of the top of the tower. Explains how you found the answer
Answer:
Step-by-step explanation:
I am so sorry what grade is this?
can someone do this please
Answer:
x = 16
Step-by-step explanation:
4x - 7 = 3x + 9
4x = 3x + 16
1x = 16
x = 16
EASY QUESTION
Read question 7
Topic: Volume
Answer:
196 cent^3
Step-by-step explanation:
mark brainliest please :)
Answer:
190 cents skimpy simple
190 cent
Can someone Help plz
Answer:
I wish i could help but im dumb :(
Step-by-step explanation:
Answer:
Option 2
Step-by-step explanation:
V= Base x Height
If the Height = 15in and the V = 90in^3 then 90 ÷ 15 = 6
Please mark brainliest ;)
A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by s left parenthesis t right parenthesis equals negative 16 t squared plus 126 t. At what times will the ball be 211 feet from the ground?
Answer:
t = 5.46 secs and t = 2.42 secs
Step-by-step explanation:
The distance of the ball from the ground is given by:
[tex]s(t) = -16t^2 + 126t[/tex]
When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:
[tex]211 = -16t^2 + 126t[/tex]
[tex]=> 16t^2 -126t + 211 = 0[/tex]
Using the quadratic formula:
[tex]t = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex] and [tex]t = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]
where a = 16, b = 126 and c = 211
Hence:
[tex]t = \frac{-(-126) + \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex] and [tex]t = \frac{-(-126) - \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]
[tex]t = \frac{126 + \sqrt{15876 - 13504} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{15876 - 13504} }{32}[/tex]
[tex]t = \frac{126 + \sqrt{2372} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{2372} }{32}[/tex]
[tex]t = \frac{126 + 48.703 }{32}[/tex] and [tex]t = \frac{126 - 48.703 }{32}[/tex]
[tex]t = \frac{174.703}{32}[/tex] and [tex]t = \frac{77.297}{32}[/tex]
=> t = 5.46 secs and t = 2.42 secs
This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.
This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.
To determine the time when the ball is 211 feet off the ground, set s(t) equal to 211 and solve the resulting quadratic equation (-16t^2 + 126t - 211 = 0) using the quadratic formula. Discard the negative solution as it represents a time before launch.
Explanation:In response to the given question, we need to determine the time when the ball is 211 feet from the ground given the formula s(t)=-16t^2 + 126t. This is a quadratic equation which can be solved for t using the quadratic formula.
First, we need to set the equation equal to 211 to solve for when the ball is this distance off the ground. So, -16t^2 + 126t = 211. Rearrange the equation: -16t^2 + 126t - 211 = 0.
Now, apply the quadratic formula t = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = -16, b = 126, and c = -211. This yields two solutions corresponding to the times at which the ball is 211 feet from the ground. The negative solution represents a moment before the ball is launched, hence we discard it. The positive value is the time at which the ball attains a height of 211 feet.
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Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number.
Diameter = 3 cm, Height = 4 cm
a.
57 cu. cm
b.
25 cu. cm
c.
38 cu. cm
d.
9 cu. cm
Answer:
c
Step-by-step explanation:
The volume of the cone with a diameter of 3 cm and height of 4 cm is calculated using the formula V = (1/3)πr²h. After finding the radius to be 1.5 cm, we get the volume to be 9.42 cm³, which rounds to 9 cm³.
First, we calculate the radius of the cone which is half of the diameter. That gives us a radius (r) of 1.5 cm. Plugging the values into the formula, we get:
V = (1/3)π(1.5 cm)²(4 cm)
V = (1/3)π(2.25 cm²)(4 cm)
V = (1/3)π(9 cm³)
V = 3 π cm³
V = 3 π cm³
V = 3 × 3.14 cm³
V = 9.42 cm³, which rounds to 9 cm³ to the nearest whole number.
The correct option is d. 9 cu. cm.