Answer: 3.A
Step-by-step explanation: At the exallent rating
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A rectangular playground is 888 meters wide. It is 333 times as long as it is wide.What is the area of the playground?
The required area of the playground is given as, 192 square meters.
Given that,
A rectangular playground is 888 meters wide. It is 333 times as long as it is wide. The area of the playground is to be determined.
Surface area is defined as the measure of a region or surface is called as surface area.
Here,
The area of the playground = l × w
As mentioned in the question,
l = 3w = 3 × 8 = 24
Area = 24 × 8
Area = 192 square meters.
Thus, the required area of the playground is given as, 192 square meters.
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Which is the graph of the system x + 3y > –3 and y < 1/2x + 1?
The answer to this question is D.
A publisher pays 6% royalty to a book writer for the first 1,000 copies sold, and 5% on any number of copies above 1,000. They will print 3,000 copies. Find the sale price of the book if the writer expects to be paid $5,000.
16 POINTS. Find x and y intercepts and show work.
I’m looking for number six.
Which graphic organizer would help you visualize important events in the history of the U.S. space program? timeline point-by-point diagram cause-and-effect chart Venn diagram
Answer with explanation:
If we have to visualize important events in the history of the U.S. space program, we have to keep following things in mind
Year Program
19... Satellite A
19.. On Moon ....
.... ............
...... .........
So, while scaling , we will keep year , that is time on any of the axis and program on another axis.
→→The Appropriate option will be
(a) Time line
If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, which of the following is false?
In the proportion a/b = c/d, if this is true then the product of the extremes (a*d) is equal to the product of the means (b*c). Any statement that contradicts this property is considered false.
Explanation:Looking at the given condition, a/b = c/d, it represents a proportion or a statement of equality between two fractions. Within this proportion, `a` and `d` are referred to as the extremes, while `b` and `c` are known as the means.
If the proportion is true, meaning it accurately reflects a relationship of equality between two ratios, several properties become applicable. Importantly, the product of the means equals the product of the extremes. In other words, in a valid proportion, `a*d` is equal to `b*c`.
Consequently, if any statement contradicts these properties, it is false. So, without knowing the specific statements to analyze here, we cannot accurately decide on the false one. Always remember, you need to comply with the stated properties of a proportion in mathematical contexts.
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which number is a common factor of 32,48,and 80?
Answer:
Step-by-step explanation:
The GCF is found by listing the factors of all the numbers and picking the largest one that occurs in each. The factors of your numbers are as follows:
32: 1, 2, 4, 8, 16, 32
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Looking at those factors you can pick out anything you'd like: all the common factors, the greatest common factors, whatever you need.
Final answer:
The number 16 is a common factor of 32, 48, and 80, as it is the only number among the options given that divides evenly into all three numbers.
Explanation:
To find a common factor of 32, 48, and 80, we need to identify a number that divides evenly into all three numbers. A systematic way to do this is to list out the factors of each number and see which ones they have in common.
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
From these lists, we see that the numbers 1, 2, 4, 8, and 16 are common factors of all three numbers. However, among the options provided (3, 9, 10, 16), 16 is the only number that appears in all lists and is therefore a common factor of 32, 48, and 80.
Find the lateral area and the total area of the prism.
27 sq. ft.
36 sq. ft.
54 sq. ft.
Answer:
54 sq. ft.
Step-by-step explanation:
LA=ph or in other words Lateral Area= base perimeter * height
The perimeter of the base is 9 because 3+3+3=9.
The height is 6. So 6 * 9 = 54
A clown needed 275 balloons for a party he was going to, but the balloons only came in packs of 2.How many packs of balloons does he need to buy?
Final answer:
To provide 275 balloons when they are sold in packs of 2, the clown will need to purchase 138 packs, which will include one extra balloon as you cannot buy half a pack.
Explanation:
The clown needs 275 balloons for a party and they come in packs of 2. To find out how many packs of balloons the clown needs to buy, one must divide the total number of balloons by the number in each pack.
The calculation is as follows:
Number of packs = Total balloons ÷ Balloons per packNumber of packs = 275 ÷ 2Number of packs = 137.5Since packs cannot be purchased in halves, the clown will need to buy 138 packs to have enough balloons, understanding that this means having one extra balloon.
Which transformations can be used to show that circle P is similar to circle Q?
Circle P: center (2, −3) and radius 4
Circle Q: center (2, 3) and radius 28
.
Select each correct answer.
Circle Q is a translation of circle P, 6 units up.
Circle P is a dilation of circle Q with a scale factor of 24.
Circle Q is a translation of circle P, 6 units left.
Circle Q is a dilation of circle P with a scale factor of 7.
Answer: The answer is below i am in k12 just took the test
Circle Q is a dilation of circle P with a scale factor of 7. "
Circle Q is a translation of circle P, 6 units up.
Step-by-step explanation:
The polygons are similar. Find the value of x
Which graph shows a system of equations with a solution at (–1, 1)?
Answer:- The second graph shows a system of equations with a solution at (–1, 1) .
Explanation:-
In the given pictures we have different lines intersecting parabola .
Given point is (-1,1) ,here x coordinate is negative and y coordinate is positive , which happen only in second quadrant of a Cartesian plane.
In graph 1 , there are two intersection points and none of them lie in the second quadrant. In graph 2 , there are two intersection points and one of them lie in the second quadrant and that is (-1,1). Therefore it shows a system of equations with a solution at (–1, 1) .In graph 3 , there are two intersection points and none of them lie in the second quadrant. In graph 4 , there are two intersection points and none of them lie in the second quadrant.Using graph paper graph the following equation then click on the graph until the correct one is display. 3x-y-1=0
The graph of the equation [tex]3x - y - 1 = 0[/tex] is attached below.
Further explanation:
The linear equation with slope m and intercept c is given as follows.
[tex]\boxed{y = mx + c}[/tex]
The formula for slope of line with points [tex]\left( {{x_1},{y_1}} \right)[/tex] and [tex]\left( {{x_2},{y_2}} \right)[/tex] can be expressed as,
[tex]\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}[/tex]
Given:
The equation is [tex]3x - y - 1 = 0.[/tex]
Explanation:
The given equation is [tex]3x - y - 1 = 0.[/tex]
Solve the equation to obtain the standard form.
[tex]\begin{aligned}3x - y - 1&= 0\\y&= 3x - 1\\\end{aligned}[/tex]
Compare [tex]y = 3x - 1[/tex] to the standard equation [tex]y= mx + c.[/tex]
The slope of the line is 3 and the y-intercept is -1.
Substitute 0 for [tex]x[/tex] to obtain the value of [tex]y[/tex].
[tex]\begin{aligned}y &= 3 \times 0 - 1\\y&= 0 - 1\\y&= - 1\\\end{aligned}[/tex]
Substitute 1 for [tex]x[/tex] to obtain the value of [tex]y[/tex].
[tex]\begin{aligned}y&= 3 \times 1 - 1\\y&= 3 - 1\\y&= 2\\\end{aligned}[/tex]
Substitute 2 for [tex]x[/tex] to obtain the value of [tex]y[/tex].
[tex]\begin{aligned}y&= 3 \times 2 - 1\\y&= 6 - 1\\y&= 5\\\end{aligned}[/tex]
The graph of the equation [tex]3x - y - 1 = 0[/tex] is attached below.
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Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.
please someone help me on this
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In this box-and-whisker plot, what is the median value of the data?
A. 48
B. 53
C. 56
D. 58
There are 8 hamsters at crazy Pete pet shop that are completely brown the rest of the hamsters at the shop are mixed colors that ate brown hamsters represent 2/5 of the total Number of hamsters at the pet shop right and solve an equation using the variable H to find the total number of hamsters at the pet shop
The farmer originally planted 15 apple trees.
Let's denote the original number of rows as [tex]\( r \)[/tex] and the original number of columns as [tex]\( c \).[/tex]
In the original arrangement, the total number of trees is [tex]\( r \times c \).[/tex]
If 5 more rows and 3 fewer columns are added, the new number of rows becomes [tex]\( r + 5 \)[/tex] and the new number of columns becomes [tex]\( c - 3 \).[/tex]
According to the given information, the new arrangement has 25 more trees than the original arrangement. So, we can set up the equation:
[tex]\[ (r + 5) \times (c - 3) = r \times c + 25 \][/tex]
Expanding the left side:
[tex]\[ r \times c + 5r - 3c - 15 = r \times c + 25 \][/tex]
Now, let's simplify:
[tex]\[ 5r - 3c - 15 = 25 \][/tex]
[tex]\[ 5r - 3c = 40 \][/tex]
Now, let's solve this equation to find the relationship between [tex]\( r \)[/tex] and [tex]\( c \).[/tex]
Given the information, let's make some assumptions about the number of rows and columns to fit the situation realistically.
Let's start with 1 row and 3 columns ( [tex]\( r = 1, c = 3 \)[/tex] ):
[tex]\[ 5(1) - 3(3) = 5 - 9 = -4 \][/tex]
It doesn't satisfy the condition.
Next, let's try 2 rows and 4 columns ( [tex]\( r = 2, c = 4 \)[/tex] ):
[tex]\[ 5(2) - 3(4) = 10 - 12 = -2 \][/tex]
Still doesn't satisfy the condition.
Next, let's try 3 rows and 5 columns ( [tex]\( r = 3, c = 5 \)[/tex] ):
[tex]\[ 5(3) - 3(5) = 15 - 15 = 0 \][/tex]
This satisfies the condition.
So, the original arrangement had 3 rows and 5 columns, and the total number of trees is [tex]\( 3 \times 5 = 15 \)[/tex].
Help me please !!!!!!!
Sandy is observing the velocity of a runner at different times.
After one hour, the velocity of the runner is 4 km/h. After two hours, the velocity of the runner is 2 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. Part B: How can you graph the equations obtained in Part A for the first 4 hours?
Use the given times and velocities to make two points: (1,4) and (2,2)
Part A:
Slope is the change in Y over the change in X from the two pints you made:
Slope = (2-4) / (2-1 )= -2
Now you have the slope, calculate the Y-intercept
y = -2x + b
Using (1,4)
4 = -2(1) + b = 4 =-2 +b. b = 6
Equation is: y = -2x+6
Part B:
using the above equation replace x with 1, 2, 3, and 4 and solve for the Y
then plot those onto a graph
How do you write 50% as a fraction or whole number in simplest form?
If the radius of a circle is 14 ft, then the diameter of the circle is _____.
A.) 7 ft
B.) 28 ft
C.) 42 ft
D.) 87.92 ft
You want to measure the length of a ribbon in inches. You only have a centimeter ruler. The length of the ribbon is 16 cm. Is the ribbon longer or shorter than 16 inches? How many inches long is it?
What is the sum of the geometric series
Find 5% of $43.79. $218.95 $2.19 $21.90 $2,189.50
The perimeter of a rectangular garden is 102 meters. the length is 6 meters longer than twice the width. find the dimensions of the garden.
Final answer:
The width of the garden is 15 meters and the length is 36 meters.
Explanation:
To solve this problem, we can use the formulas for perimeter and length. Let's assume that the width of the rectangular garden is x.
According to the given information, the length is 6 meters longer than twice the width, so the length can be represented as 2x + 6.
The perimeter is the sum of all four sides of the rectangle, which is given as 102 meters. We can set up the equation:
2(2x + 6) + 2x = 102
Simplifying the equation, we get:
6x + 12 = 102
6x = 90
x = 15
Therefore, the width of the garden is 15 meters and the length is 2(15) + 6 = 36 meters.
Donna Bakes biscuits on a rectangular cookie sheet that is 30 centimeters by 50 centimeters.Each biscuit had a diameterof 8 centimeters. What is the maximum number of biscuits donna can make on the sheet at once on the cookie sheet.
Donna can make a maximum of 94 biscuits on the rectangular cookie sheet at once.
Explanation:To find the maximum number of biscuits Donna can make on the rectangular cookie sheet, we need to calculate the area of the sheet and divide it by the area of each biscuit.
The area of the sheet is given by length x width, so it is 30 cm x 50 cm = 1500 cm².
The area of each biscuit is given by πr², where r is the radius (half the diameter) of the biscuit. In this case, the radius is 8 cm / 2 = 4 cm. So the area of each biscuit is π x 4 cm x 4 cm = 16π cm².
To find the maximum number of biscuits, we divide the area of the sheet by the area of each biscuit:
Maximum number of biscuits = Area of the sheet / Area of each biscuit = 1500 cm² / 16π cm² ≈ 94.25 biscuits.
Since we can't have a fraction of a biscuit, the maximum number of biscuits that Donna can make on the sheet at once is 94 biscuits.
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What is the sum of −3x+6 and 7x−8 ?
Answer:
-80
Step-by-step explanation:
Need help on 8,9,10,11 and 12
If the test scores of a class of 36 students have a mean of 75.2 and the test scores of another class of 28 students have a mean of 67.4, then the mean of the combined group is
The mean of the combined group is 71.78.
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.
Let the total sum of the scores of the first class of 36 students be ∑x.
Here, the mean is 75.2 .
⇒ ∑x/36 = 75.2
⇒ ∑x = (75.2)(36)
⇒ ∑x = 2707.2
Also, let the total sum of the scores of the second class of 28 students be ∑y.
Here, the mean is 67.4.
⇒ ∑y/28 = 67.4
⇒ ∑y = (67.4)(28)
⇒ ∑y = 1887.2
The total students in combined group = 36+28 =64
The sum of their scores = ∑x + ∑y = 2707.2 + 1887.2 = 4594.4
The mean of the combined group = (∑x + ∑y)/64
The mean of the combined group = 4594.4/64 = 71.78
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To find the mean of the combined group of two classes, calculate the total sum of scores of each class, combine them, and then divide by the total number of students. The mean of the combined group is approximately 71.8.
Explanation:To calculate the mean of the combined groups of students, you can use the total sum of scores from both classes divided by the total number of students. The first class has 36 students with a mean score of 75.2, and the second class has 28 students with a mean score of 67.4.
First, find the total sum of scores for each class:
Next, combine the total sums and the number of students:
Finally, divide the combined total sum by the combined number of students to find the mean:
Mean of combined group = 4594.4 / 64 = 71.7875
Therefore, the mean of the combined group is approximately 71.8.
which of the following is a radical equation? 1. x+sqrt(5)=12 2. x^2=16 3. 3+xsqrt(7)=13 4. 7sqrt(x)=14
Answer:
4. [tex]7\sqrt{x}=14[/tex]
Step-by-step explanation:
Radical equation is a equation that has a variable under the radical .
From the given options we have radical square root
We need to choose an option that has a variable under the square root.
1.[tex]x+\sqrt{5}=12[/tex]
This equation has 5 under the radical square root. Variable is outside, So this is not a radical equation.
2. x^2=16
Here there is not radical . So this is not a radical equation.
3. [tex]3+x\sqrt{7}=13[/tex]
This equation has 7 under the radical square root. Variable is outside, So this is not a radical equation.
4. [tex]7\sqrt{x}=14[/tex]
This equation has x under the radical square root. So this is a radical equation.
A certain animated movie earned $1.1 * 10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was earned per minute of the movie?
To find the revenue per minute of the movie, divide the total revenue ( [tex]\$1.1 \times 10^9[/tex]) by the length of the movie ( [tex]9.1 * 10^1[/tex]). The trick is to divide the numerical portions and the power of ten portions separately. The answer is approximately [tex]\$1.20879 \times 10^7[/tex] per minute.
Explanation:The subject of this question is mathematics and it involves a concept called division in scientific notation. To find the revenue per minute for this movie, we'll divide the total earnings ($1.1 * 109) by the length of the movie in minutes (9.1 * 101).
Step 1: Place the two values with scientific notation over each other, akin to a typical division problem. This means $1.1 * 109 / 9.1 * 101.
Step 2: Divide the two numerical portions separately from the power of ten portions. This is dividing 1.1 by 9.1 and 109 by 101.
Step 3: The former (from step 2) gives you approximately 0.120879 and the latter simplifies to 108 (because when you divide with the same base, you subtract the exponents).
So the earnings per minute of this movie were approximately $0.120879 * 108, or $1.20879 * 107.
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