The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces. Which value could replace x in the table?
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.
Pepper’s dog pen measures 4 meters wide and has an area of 20 square meters. What is the perimeter of the pen in meters?
Which line is the best model for the data in the scatter plot?
i.e. the points are closely related to the line.
Also, the other properties of a trend line are--The magnitude of the negative and positive residual values must be same.
( i.e. Not all point could lie above the line and not all points could lie below the line )
( In graph A most of the points lie below the line.
Hence, Graph A is not the correct answer.
In graph most of the points lie above the line.
Hence, Graph C could not be the best model.
In graph D most of the points lie above the line and hence it could not be the best model)
whereas in Graph B there are equal number of points above and below the line.
how can you tell before dividing that the first digit of the quotient 2,874/3 is in the hundreds place?
Final answer:
You can tell that the first digit of the quotient of 2,874 divided by 3 is in the hundreds place by using estimation and recognizing that 287 (the first three digits) is greater than 3 multiplied by 100, thus ensuring the quotient reaches the hundreds place.
Explanation:
To determine if the first digit of the quotient of 2,874 divided by 3 is in the hundreds place before actually dividing, we can use an estimation technique. Estimation helps us to predict the placement of the quotient's digits without doing the full calculation. For the divisor 3 to produce a number in the hundreds place, it must be able to go into the first three digits of the dividend (here, 2,874).
We look at the thousands and hundreds places of the dividend. Since the number 2,874 has a 2 in the thousands place, we know 3 cannot be divided into 2 to give us a number in the hundreds place. But when we include the next digit in the hundreds place, we have 287, which is greater than 3 imes 100. Therefore, we can say that 3 will go into 287 at least 100 times, making the first digit of the quotient in the hundreds place.
This estimation is further validated by the recognition that the number in the hundreds place of 2,874 (which is 8) is more than twice 3, and therefore, dividing it by 3 will definitely yield a number greater than 100 but less than 1,000.
pose a word problem that will match the solution
jerry was playing a video game. it took him 10 lives to beat the 2nd world, 5 times as many as it took him to beat the 1st world. how many lives did he use to the 1st world?
Final answer:
Jerry used 2 lives to beat the 1st world, determined by dividing the 10 lives used for the 2nd world by 5.
Explanation:
Jerry used 10 lives to beat the 2nd world and it took him 5 times as many lives as it did to beat the 1st world. To find out how many lives it took him to beat the 1st world, we need to divide the number of lives used for the 2nd world by 5.
Let x represent the number of lives Jerry used to beat the 1st world. The equation based on the given information is:
5 * x = 10
Now, we solve for x:
x = 10 / 5
x = 2 lives
Therefore, Jerry used 2 lives to beat the 1st world.
Seventy concert tickets were sold for $550. Each adult ticket cost $9 and each children's ticket cost $5. Find the number of adult tickets and the number of children's tickets sold.
There were 50 adult tickets and 20 children's tickets sold.
To determine the number of adult and children's concert tickets sold, we use a system of equations: x + y = 70 (total tickets) and 9x + 5y = 550 (total revenue). Solving these, we find 50 adult tickets and 20 children's tickets were sold.
To find the number of adult and children's concert tickets sold, given the total revenue and the price of each ticket, we can set up a system of linear equations. Let's define x as the number of adult tickets and y as the number of children's tickets. We are given that:
The total number of tickets sold is 70: x + y = 70The total revenue from the tickets sold is $550: 9x + 5y = 550Now we have the following linear equations:
x + y = 709x + 5y = 550We can solve this system using either the substitution or elimination method. For simplicity, we'll use the elimination method.
Multiply the first equation by 5 to match the coefficient of y in the second equation:
5x + 5y = 350Now subtract the new equation from the second equation given:
(9x + 5y) - (5x + 5y) = 550 - 3504x = 200x = 50Using the value of x in the first equation, we find y:
50 + y = 70y = 20Therefore, there were 50 adult tickets and 20 children's tickets sold.
all my points to person who has best answer plz make it simpule
Solve 8 x^2 + 5 = 35 Round to the nearest hundredth.Enter your answers in the boxes.The solutions are approximately and .
Give an example of a set of data displayed in a line graph
Answer:
data displayed in a line graph represents change over time
Step-by-step explanation:
and example could be effects of different soil on the same kind of plant over a week
if you pay $8.50 per square yard of carpeting,what is your total cost for 27.5 square yards?
Question: Given: m∠AEC = 104° and m∠CBD = 31°, Explain why angles ACE, ACB and BCD have a sum of 180°. Use the transversal (line GF) as the basis for your argument.
What is the area of this parallelogram?
A: 104 m²
B:88 m²
C:56 m²
D:32 m²
Sally surveyed 20 of her friends to determine their favorite color. Her data shows that 25% said blue, 15% said green, 10% said yellow, and the rest said red.
Which circle graph best represents Sally's data?
Answer:
The circle graph that represents Sally's data in the attahed figure
Step-by-step explanation:
we know that
The color blue represent [tex]25\%[/tex]------> Is a quarter of circle
The color yellow plus the color green represent [tex]10\%+15\%=25\%[/tex] -----> Is a quarter of circle
The color red represent [tex]100\%-50\%=50\%[/tex]------> Is a half circle
therefore
The answer in the attached figure
Can someone help me!! I’m trying to find equivalent measures! 15!points if you can help!
A farmer has 112 pecan tree and 97 walnij tree. How many more pecan Teresa does the farmer have than walnij tree? Desrcibe what you would do
I would regroup the tens
I would add 12 + 97
I would subtract 7 ones from 12 ones
Which answer is correct?
In a trapezium pqrs , pq is parallel to Sr , pq = ps = qr and psr = 66 , calculate
A) qrs. B) pqs
Can someone help me with this?
Patty ordered a pizza to be delivered. The bill was $12.00. Patty pays $15 and tells the delivery person to keep the change as a tip. What percent tip did she give?
Gerry folded 3/8 of the pile of shirts. Molly folded 1/8 of the pile of shirts. Together did they fold more than half the shirts? Explain your answer.
What is the volume of the right rectangular prism?
17 in³
68 in³
108 in³
168 in³
Can you tell me how to do this?
George has to pay $30 in taxes for every $100 that he earns .Last summer he earned $3,680. How much did he pay in taxes
uppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value
what is the formula for this?
which relation is a function?
What is the rule to represent the number of tiles in figure x?
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A circle has a radius of 13 inches.
Which equation can be used to find the diameter of this circle?
d=2π(13)
d=12(13)
d=2(13)
d=132
Answer:
d=2(13)
Step-by-step explanation:
What is the arc length of arc CD in the circle below? Circle A is shown with a radius labeled 8 feet and a central angle marked 35 degrees. 3.14 feet 4.88 feet 6.98 feet 11.78 feet
1.
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation?
110
15
5
10
2.
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.
The coordinates of C' are (0.75, 0.5).
The coordinates of C' are (1.5, 1).
The scale factor is 18
.
The scale factor is 8.
The scale factor is 14
.
The scale factor is 4.
The coordinates of B' are (-0.25, 1).
The coordinates of B' are (-0.5, 2).
3.
What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is A'(–24, 16)?
4.
Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle?
Dilation, rotation, translation
Reflection, dilation, translation
Rotation, reflection, dilation
Rotation, translation, reflection
Answer:The scale factor is \frac{1}{5}
Step-by-step explanation:
Which expressions are polynomials? Select each correct answer.
20x2y
20x²
20x² + y
20x2+y12
These expressions satisfy the criteria for being polynomials based on their structure and components.
[tex]\( 20x^2y \)[/tex]
[tex]\( 20x^2 \)[/tex]
[tex]\( 20x^2 + y \)[/tex]
Let's analyze each expression:
1. [tex]20x^2y[/tex]
This expression can be rewritten as [tex]\( 20x^2y \).[/tex]
It consists of variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], coefficients ([tex]20[/tex]), and exponents ([tex]2[/tex] on [tex]\( x \))[/tex]
It involves multiplication and addition (implied by the terms).
Conclusion: This expression is a polynomial.
2. [tex]20x^2[/tex]
This expression can be rewritten as [tex]\( 20x^2 \)[/tex].
It consists of variable [tex]\( x \)[/tex], coefficient ([tex]20[/tex]), and exponent ([tex]2[/tex]).
It involves multiplication and addition (implied by the term).
Conclusion: This expression is a polynomial.
3. [tex]20x^2+ y[/tex]
This expression consists of two terms: [tex]\( 20x^2 \)[/tex] and [tex]\( y \)[/tex]
[tex]\( 20x^2 \)[/tex] is a polynomial (as identified above).
[tex]\( y \)[/tex] is also a polynomial (since it can be seen as [tex]\( 1y^1 \)[/tex], where the coefficient is [tex]1[/tex] and the exponent is [tex]1[/tex]).
The expression involves addition and multiplication.
Conclusion: This expression is a polynomial.
4. [tex]20x^2+y^{12[/tex]
This expression is not standard notation and appears to be incorrectly formatted:
It lacks clear separation between terms.
It combines numeric digits directly without appropriate variables and exponents.
Conclusion: This expression is not a polynomial.