Answer:
11 years
Step-by-step explanation:
x = years to equal
45 + 10x = 23 + 12x
22 = 2x
x = 11 years
It will take 11 years for Dean to read as many books as Lillie.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Number of books read by Lillie every year = 10 books
Total number of books already read = 45 books
The number of books, n, read by Lillie in t years,
n = 45 + 10t
Number of books read by Dean every year = 12 books
Total number of books already read = 23 books
The number of books, n, read by Lillie in t years,
n = 23 + 12t
Dean read as many books as Lillie, when,
23 + 12t = 45 + 10t
12t - 10t = 45 - 23
2t = 22
t = 11
Hence the number of books read by both will be same in 11 years.
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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is $87. The total cost to rent 5 chairs and 2 tables is $26.
What is the cost to rent each chair and each tabl
Answer:
(Chairs):C=29−8t/3
(Tables):T=87/8−3c/8
Step-by-step explanation:
For C: Move all terms that don't contain c to the right side and solve.
For T: Move all terms that don't contain t to the right side and solve.
(Do the same thing with the other numbers as well)
(CHeck your work for each one)
Please help on the question as attached by providing detailed steps. Tq
Answer:
Step-by-step explanation:
Solve For m
m = - ( 4 + m ) + 2
Gary used 7 yards. His brother used four times as much fabric. How much fabric did Gary's brother use?
Answer: 28 yards
You just have to multiple the 7 by the 4. :)
Put the following linear relationships in order from least rate of change to greatest rate of change.
1: y=2x+7
2: y=5x-3
3: y=3x
4: y=4x+6
Answer:
1. 3. 4. 2.
Step-by-step explanation:
All the given linear relationships are given in slope-intercept form
y = mx + b (where m is the slope and b is the y-intercept).
The slope (gradient) of the line represents the rate of change. Therefore, we need to examine the slope of each relationship, and order them accordingly.
Solution
From least rate of change to greatest rate of change:
1. y = 2x + 7
3. y = 3x
4. y = 4x + 6
2. y = 5x - 3
Max and Tara are each designing a playground for a school project. In Max’s design, x square feet of the playground will be covered in wood chips. In Tara’s design, the area to be covered is 40 square feet less than 1.5 times the area covered in wood chips in Max’s design. Which expression represents the area, in square feet, to be covered in wood chips in Tara’s design? 1.5x-40
-27 w3 + 125 factorize
[tex]-1(3w-5)(9w^{2} +15w+25)[/tex]
How to do this one ?
The volume of the conical mountain, to the nearest whole number, is approximately 143 cubic kilometers.
What is the Volume of a Cone?Volume of a cone = 1/3πr²h, where h os the height, r is the radius.
Given the following dimensions of the conical mountain:
Height (h) = 3.8 kmRadius (r) = 6 kmVolume of the mountain = 1/3πr²h = 1/3π(6²)(3.8)
Volume of the mountain ≈ 143 km³
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Which of the functions below could possibly have created this graph?
O A. F(x) - –** – x2 – 3x2 +3
O B. F(x) = x + 13** + 12x
C. F(x) = -x + 2x* +6x
D. F(x)= x4 – x2 – 3x +3
Answer:
D
Step-by-step explanation:
All you have to do is put it in desmos, hope this helped :)))
The graph of the equation is f ( x ) = x⁴ - x³ - 3x² + 3
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the equation of the graph be represented as A
Now , the value of A is
f ( x ) = x⁴ - x³ - 3x² + 3
There are no asymptotes for the function
And , the graph of the function is plotted below
Hence , the equation is f ( x ) = x⁴ - x³ - 3x² + 3
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The following are the Consumer Price Index (CPI) for the years 1991-1993. All of the values use a reference year of 1986.
Year CPI
1991 110
1992 120
1993 135
Which of the following is true about the CPI, based on the information?
A.)
$100 in 1992 would have been worth $100 in 1986.
B.)
$100 in 1993 would be equivalent to $120 in 1992.
C.)
$100 in 1986 would be equivalent to $135 in 1993.
D.)
$100 in 1991 would have been worth $110 in 1986
image Which absolute value equation represents the graph? Question 7 options: A) ƒ(x) = –|3x| – 5 B) ƒ(x) = 5|x| – 3 C) ƒ(x) = |5x – 3| D) ƒ(x) = 3|x – 5|
The function f(x) = |x| shift horizontally to the right by 5 units with a stretch of 3 units. The resulting function will be f(x) = 3|x - 5|
Transformation of functionsTransformation is a technique used to change the position of an object on an x-plane.
The parent function of the shown graph is f(x) = |x|
The attached graph shows that the function f(x) = |x| shift horizontally to the right by 5 units with a stretch of 3 units. The resulting function will be f(x) = 3|x - 5|
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Latasha reads 9 pages in 3 minutes. Latasha reads at a rate of
per minute. She reads at a rate of ?
minute per page.
Answer:
3 pages per minute.
Step-by-step explanation:
If we know that she reads 9 pages in 3 minutes, then we can divide the whole speed by 3 to get how much she reads in one minute.
3 pages in 1 minute.
simplify (2x-3)^3-(x-4)^3
please help urgently
Answer:
7x^3 -24x^2 +6x +37
Step-by-step explanation:
Step 1:
Expand (2x-3)^3
(2x)^3 - 3(2x)^2 * 3+3 * 2x * 3^2 -3
(8x^3 -36x^2 +54x -27)
Step 2:
Expand (x-4)^3
x^3 -3x^2 *4 +3x *4^2 -4^3
(x^3 -12x^2 +48x -64)
Step 3: Subtract and add like terms
(8x^3 -36x^2 +54x -27) - (x^3 -12x^2 +48x -64)
7x^3 -24x^2 +6x +37
Ans: 7x^3 -24x^2 +6x +37
A metal strip is being installed around a workbench that is 8 feet long and 2 feet wide. If the stripping costs $3 per foot, find the total cost of the stripping.
Length x width x price
8x2 = 16
16x$3 = $48
the total cost is $48
Case Study 2: Maxing out Matched Savings
Chen's employer will match 50% of their $250 monthly contributions to their 401(k). This
means that Chen's employer will put 50% of $250 = $125 into Chen's 401(k) account each
month in addition to Chen's $250. Free money-- Nice! (this is common!)
How much will Chen have after 40 years of saving $250 their own money if the account
compounds monthly at 3% APR?
hint: Use the TVM Solver on the Tl or this website. Remember, ignore the - sign. Don't forget
about the matching!
Type answer as a number without the $ symbol rounded to the hundredths. Example, if it
the answer was $1234.5687, you would enter 1234.57.
Answer:
The computation of the given question is shown below:-
Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)
= $250 + $125
= $375
1. Future Value = PMT [((1 + r)n - 1) ÷ r
Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)
= $347,272
2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years
= $250 × 12 Months × 40 Years
= $120,000
3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years
= $125 × 12 Months × 40 Years
= $60,000
4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer
= $347,272 - $120,000 - $60,000
= $167,272
Step-by-step explanation:
24 out of 50 children prefer the color blue. what
percentage of children prefer the color blue?
Answer:
48%
Step-by-step explanation:
as a fraction is 24/50
make denominator 100 so times by 2
24 x 2 = 48 so
48/100 = 48%
Find the length of the indicated side.
Answer:
Step-by-step explanation:
a bike requires 2 hours of assembly and a swing 3 hours. a maximum of 250 hours of assembly time are available. the profit is $50 on a bike and $20 on a swing. if no more than 100 items can be produced how many of each should be assembled for maximum profit?
The assemble for maximum profit is mathematically given as
For maximum profit, 100 tire and 0 strings must be assembled.
How many of each should be assembled for maximum profit?Generally, the equation for the max number is mathematically given as
Mx=50x+20y
Therefore
2x+3y \leq 250
x1+x\leq=100
Therefore
with cordinates of
(0,0)
(100,0)
(50,50)
(0,250/3)
In conclusion, The mx of 50x+20y is (100,0)
Hence, for maximum profit 100 tire and 0 strings must be assembled.
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Students and teachers at a school were asked if they preferred blue, green, red, or yellow. The table shows the results of the survey. Blue Green Red Yellow Total Students 5 10 20 15 50 Teachers 15 10 5 20 50 Total 20 20 25 35 100 Choose three statements that can be inferred from the data in the table. A. 20% of all people surveyed chose blue. B. 20% of the students surveyed chose red. C. 20% of the students surveyed chose blue. D. 20% of the teachers surveyed chose green. E. 20% of those who chose red were teachers. F. 20% of those who chose yellow were teachers.
20% of all people surveyed chose blue and 20% of the teachers surveyed chose green. Then the correct options are A and D.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Students and teachers at a school were asked if they preferred blue, green, red, or yellow.
The table shows the results of the survey.
[tex]\begin{matrix}&\rm Blue &\rm Green &\rm Red &\rm Yellow &\rm Total \\\\\rm Students &5 &10 &20 &15 &50 \\\\\rm Teachers &15 &10 &5 &20 &50\\\\\rm Total &20 &20 &25 &35 &100\end{matrix}[/tex]
A. The probability of the people who chose blue will be
[tex]\rm P = \dfrac{20}{100} = 0.2 \ or \ 20\%[/tex]
B. The probability of the student who chose red will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
C. The probability of the student who chose blue will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
D. The probability of the teachers who chose green will be
[tex]\rm P = \dfrac{10}{50} = 0.2 \ or \ 20\%[/tex]
E. The probability of the teachers who chose red will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
F. The probability of the teachers who chose yellow will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
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A bag contains 10 red marbles, 7 white marbles, and 9 blue marbles. You draw 5 marbles out at random, without replacement. For the questions below, enter your answers in fraction form. What is the probability that all the marbles are red? The probability that all the marbles are red is . What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is . What is the probability that none of the marbles are red? The probability of picking no red marbles is .
Answer:
ALL RED = 19/5000
Two Red = 3831/10000
No red marbles = 16/26
Step-by-step explanation:
1. Find the total number of marbles
7+10+9= 26
2. There are 10 red marbles so the probability that the first marble is red 10/26
3. When the second marble there are 25 marbles so the probability that it is red is 9/25
4. Third Marble probability
8/24
5. Fourth Marble probablity
7/23
6. Fifth marble probability
6/22
7. Now to find that ALL the marbles are red you multiply all the fractions above
10/26 * 9/25 * 8/24 * 7/23 * 6/22 = 0.0038
8. Convert to fraction form
19/5000
9. Two marbles are red
5!/(3!*2!) * 10/26 * 9/25 * 16/24 * 15/23 * 14/22 = 0.3831
10. Convert to fraction
3831/10000
will mark brainliest
Answer:
0.5
Step-by-step explanation:
total no. of tiles
= 3 + 6 + 3
= 12
probability of tile being green
= 6 / 12
= 1/2
= 0.5
hope this helps!
Use the function below to find f(3)
F(x) = (1/4)x
Please help!!
9 to the power of 0 is what number
Answer:
1Step-by step Explanation:
∴ Exponent rule: Any number that has an exponent as 0, the result is 1.
⇒ 9⁰ = 1Thus, the result is 1.
Wilbur has homework assignments in seven subjects. He only has time to do five of them.
Answer:
21 waysStep-by-step explanation:
Given
Wilbur has 7 subjects' homeworkHe can only do 5 of themCombination Formula
ⁿCₓ = n! / (n - x)! x!Number of possible ways
⁷C₅ = 7! / 2! x 5!⇒ 7 x 6 x 5! / 2! x 5!⇒ 7 x 6 / 2⇒ 7 x 3⇒ 21 waysSomeone help, please and thank you
Answer:
6√2
Step-by-step explanation:
Given,
θ = 45
Opposite side = 6
To find : - Hypotenuse
Formula : -
sin θ = Opposite side / Hypotenuse
[ The value of sin 45 = 1 / √2 ]
sin 45 = 6 / Hypotenuse
1 / √2 = 6 / Hypotenuse
Cross multiply,
Hypotenuse = 6√2
Answer:
6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
a 45-45-right triangle always has the same relationship between the legs and hypotenuse.
leg:leg:hypotenuse
x:x:x[tex]\sqrt{2}[/tex]
There is 1/2 of a pizza left for 4 friends to
share. What fraction of a pizza will each
friend get to eat?
will make brainlest and rate 5 stars and say thanks
you could solve this problem one of two ways-
1)
100/4 25/2 12.5
100, equals the entire pizza. 4, is the number of people. 25, is the amount they all get. They you divide by 2 since it is only a half pizza.
-or-
2)
100/2 50 50/4 12.5
100, equals the entire pizza. Divide that by 2 since it half a pizza. 100/2 equals 50. Then, since there is 4 friends you divide 50 by 4. Which equals 12.5.
In conclusion, the final answer is 12.5% of the pizza each.
Hope this helps!!
61-63 Sketch the region bounded by the given curves and find the area of the region.
61. [tex]y=1 / x, \quad y=1 / x^{2}, \quad x=2[/tex]
The area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
To find the area of the bounded region by the curves(refer to attached picture):
[tex]\rm A= \int\limits^2_1 {(\frac{1}{x}-\frac{1}{x^2}) } \, dx[/tex]
After solving:
A = 0.193 square units
Thus, the area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.
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use ABC to find the value of cos A
40/9
9/41
40/41
9/40
Answer:
Yes the one you clicked on is the right answer.
350 divided by what gives you 5?
Answer:
350 divided by 70
Step-by-step explanation:
350 by 5= 70 350 by 70 = 5
Hope this helps
Answer:
70
Step-by-step explanation:
Can you just answer question 23!!! i need help!!!
Answer:
It is Graph A because it has the properties of a cubic graph.
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