Solving the system of linear equations, we found that there are 12 hardcover books and 33 paperback books, making the value that could replace 'x' is 12.
The question involves solving a system of linear equations to find the number of hardcover and paperback versions of a book that together weigh 249 ounces. Since the hardcover version weighs 7 ounces and the paperback weighs 5 ounces, we can create two equations based on the given information. If we let x represent the number of hardcover books and y represent the number of paperback books, the equations would be:
x + y = 45 (since there are 45 copies in total)
7x + 5y = 249 (since the total weight is 249 ounces)
Solving this system, we can multiply the first equation by 5, which gives us 5x + 5y = 225, and subtract this from the second equation to find the value of x. This yields 2x = 24, so x = 12. Therefore, there are 12 hardcover books and the rest are paperbacks. To find the number of paperbacks, we substitute x back into the first equation and get 12 + y = 45, which means y = 33. Hence, the number that could replace x in the table is 12.
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What is the length of GE? Explain how you determined the length or show your work.
Explain how the suffix -less affects the meaning of the spelling words expressionless and fearless. (explain plz) FAST !!!
2(-20)+3[5/4(20)]+4(50)
what is 13 divide to 83.2
The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours.
What is the speed of the motorboat?
A) 225 miles per hour
B) 25 miles per hour
C) 75 miles per hour
D) 50 miles per hour
Answer:
Option D.,50 miles per hour
Step-by-step explanation:
The graph shows the distance covered by motor boat at = y, ( in miles )
The certain amount of time on = x ( in hours )
The slope of the given line will represent the speed of the motorboat.
The given line passes through two points ( 0, 25 ) and ( 4, 225 )
Therefore, slope of the line = [tex]\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{225-25}{4-0}[/tex]
= [tex]\frac{200}{4}[/tex]
= 50
The speed of the motorboat is 50 miles per hour.
What would my final balance be if I put $650 in the bank for 60 months with an interest rate of 6%?
A container is 25ft × 50ft.If you have to draw using the scale 1 inch:5ft,what are the dimensions of the container that you will draw?
simplify 3/8+1/6 help
George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck. If the deck is 14 feet long, how wide is the deck?
We need to convert the given information to meaningful mathematical equation.
Statement: "George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck.", it means
[tex] Perimeter \; of\; the\; rectangle=48\; feet [/tex]
Assuming ' L ' as length of the rectangle & ' W ' as the width of the rectangle, the perimeter of rectangle is given by the below formula.
[tex] Perimeter \; of\; the\; rectangle\; =\; 2(L+W) [/tex]
We know "the deck is 14 feet long", which means...
[tex] L=14 \; feet [/tex]
Substituting 14 for L and 48 for Perimeter of rectangle in the formula above, we can set up and equation in terms of W.
[tex] 2(L+W)=Perimeter \; of\; the\; rectangle\\ 2(14+W)=48\\ Divide \; 2\; on\; both\; sides, \; we\; get...\\ \\ \frac{2(14+W)}{2}=\frac{48}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ 14+W=24\\ Subtracting\; 14\; on\; both\; sides\\ \\ 14+W-14=24-14\\ Combine\; like\; terms\\ \\ W=10 [/tex]
Conclusion:
The width of the deck is 10 Feet
Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 8 boxes of science textbooks with 16 books per box. He also packed math textbooks with 12 books per box.
If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A.
y = 128x + 12
B.
y = 12(x - 8) + 128
C.
y = 12x + 128
D.
y = 128(x - 8) + 12
Final answer:
The correct equation to represent the total number of books Jarrod packed is B. y = 12(x - 8) + 128, which acknowledges he packed 8 boxes of science books and the remaining boxes were for math books.
Explanation:
Jarrod packed 8 boxes of science textbooks with 16 books per box, which totals to 8 × 16 = 128 books.
For the math textbooks, if x represents the total number of boxes packed, then Jarrod would have packed (x - 8) boxes of math textbooks since he already packed 8 boxes of science textbooks.
Each math textbook box contains 12 books, so the number of math books packed is 12 × (x - 8). The total number of books that Jarrod packed is the sum of both science and math books, which is given by 128 + 12 × (x - 8).
The correct equation that represents this word problem is B. y = 12(x - 8) + 128, where y is the total number of books packed and x is the total number of boxes packed.
on a city map, the scale is 5 cm = 12 km,if a street is 12.5 cm long on the map what is the actual length of the street?
solve each system by graphing y=2x-4
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
Answer:
b,c,e,f just did it trust me
Step-by-step explanation:
If eight people sat at a round dinner table and each person had to shake everyone else’s hand once how many handshakes will take place
Write the equation of a line that is perpendicular to y=-0.3x+6 and that passes through the point (3,-8)
we know that
if two lines are perpendicular
then
the product of their slopes is equal to minus one
so
[tex]m1*m2=-1\\m2=-1/m1[/tex]
in this problem the slope of the given line is
[tex]m1=-0.3=-\frac{3}{10}[/tex]
the value of m2 is
[tex]m2=-1/(-3/10)=\frac{10}{3}[/tex]
with the point [tex](3,-8)[/tex] and the slope m2 find the equation of the line
the equation of the line in the form point-slope is
[tex]y-y1=m*(x-x1)[/tex]
substitute the values
[tex]y+8=\frac{10}{3}*(x-3)[/tex]
[tex]y=\frac{10}{3}x-10-8[/tex]
[tex]y=\frac{10}{3}x-18[/tex]
therefore
the answer is
[tex]y=\frac{10}{3}x-18[/tex]
Lisa goes to school 7 hours per day, works 3 hours per day, and sleeps for 8 hours per day. What is the ratio of hours Lisa works to hours Lisa sleeps?
The ratio of hours Lisa works to hours Lisa sleep is 3: 8.
what is the ratio?
The comparison of two quantities is known as a ratio. which could be easily determined by dividing one value by other which also indicates the percentage.
Given Lisa works 7 hours per day, works 3 hours per day, and sleeps for 8 hours per day. Therefore, the ratio of hours Lisa works to hours Lisa sleeps is the work hour of Lisa divided by hours of sleep per day.
Hence, the required ratio is 3: 8.
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Choose the correct product of (3x + 8)2. 9x2 − 64 9x2 + 64 9x2 + 48x + 64 9x2 − 48x + 64
Answer: The correct answer is 9x^2 + 48^x + 64
Step-by-step explanation:
The correct answer is 9x^2 + 48^x + 64
A power line extends from a light pole 43 meters to the ground and makes an angle of 30 degrees with the ground. To the nearest tenth of a meter, how tall is the light pole?
The following table represents the sample space of rolling two number cubes.
1 2 3 4 5 6
1 1-1 1-2 1-3 1-4 1-5 1-6
2 2-1 2-2 2-3 2-4 2-5 2-6
3 3-1 3-2 3-3 3-4 3-5 3-6
4 4-1 4-2 4-3 4-4 4-5 4-6
5 5-1 5-2 5-3 5-4 5-5 5-6
6 6-1 6-2 6-3 6-4 6-5 6-6
How many favorable outcomes are there for the event "rolling exactly one even number"?
Godfrey just got a new credit card that offers both an introductory APR and a standard APR. If the standard APR is 11.2%, which of the following rates would most likely be the introductory APR?
Answer: 1.2-apex
...............
What is the value of the 6 in 34.967
Based on the information provided in the net worth statement, what is the net worth of this person?
A) $265,000.00
B) $307,000.00
C) $445,500.00
D) $752,500.00
To find this person's net worth, you will add the assets together to get a total value of what they are worth. Then you will need to subtract the amount of liability (amount owed).
( $487,500 + $265000) - $445500
$307000
This person's net worth is $307000.
PLEASE HELP ME! IM GETTING TIMED!!
A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. The cylinder has a diameter of 12 inches and a height of 14 inches. The cone has a height of 6 inches. What is the volume of the cake? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Show your work.
MAKE SURE TO SHOW YOUR WORK?
A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700. Before receiving this statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. Write an equation without decimals.
There are 18 minutes John must have used during the month.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700.
Before receiving this statement, John saw he was charged a total of $48.10.
Let the time he must have used during the month = x
So, We can formulate the equation as;
⇒ $48.10 = $40 + $0.45 x
Solve for x as;
⇒ 48.10 - 40 = 0.45x
⇒ 8.10 = 0.45x
⇒ x = 8.10 / 0.45
⇒ x = 18
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A theater can seat 720 people. The number of rows is 6 less than the number of seats in each row. How many rows of seats are there?
In decimal form, to the nearest tenth, what is the probability that a randomly selected Riverside High School student is in twelfth grade?
Answer:
The answer is C 0.4
Step-by-step explanation:
There are y children in an orphanage and they shared $x among themselves. If each of them got $7 there were $4 left.If there were $5 more,each would get $8.
(a) Write the pair of simultaneous linear equation connecting x and y.
(b) Hence, find
(i) x
(ii) y
HELP 11190 POINTS
The dot plot shows the number of visitors. Determine the median of the data set.
A) 56
B) 61
C) 62
D) 68
Solution:
we are given with a dot plot where we can see that the number of visitors.
we have been asked to find the median of the data set.
From the data plot , we can write the data set as below
56,56,56,56,58,58,60,62,62,62,63,65,65,68,68.
Here the data set is already arranged in the ascending order.
Now if the number of data points in the data set is odd then middle number is the median.
If the number of data points in the data set is even then the sum of middle two divided by 2 gives the median.
Here the number of data points in the data set is odd.
So the median is 8th value from any side.
Hence the median of the given data set is 62.
A builder could get 6 sheets of sheetrock for 3$. If he bought 60 sheets , how much money would he have spent
What value of x would make rq tangent to Circle P at point Q?
The value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6
From the given circle geometry, since the line PQ is perpendicular to QR, hence the triangle PQR is a right-angle triangle.Given the following from the geometry;
Adjacent side = QR = 12Opposite side = PQ = 9Hypotenuse side = PR = 9 + xUsing the pythagoras theorem;
[tex]c^2=a^2+b^2\\(9+x)^2=9^2+12^2\\81+18x+x^2=81+144\\x^2+18x+81-225=0\\x^2+18x-144=0\\[/tex]
Factorize the result to have;
[tex]x^2+24x-6x-144=0\\x(x+24)-6(x+24)=0\\(x-6)(x+24) =0\\x=6 \ and \ -24\\[/tex]
Since the value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6
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