Answer:
breath = 6ft
length = 14ft
Step-by-step explanation:
Area of a rectangle = length x breath
Area = 84ft²
Since length is 8feet more than breath.
Let assume a breath is y.
i.e
breath = y
length = y + 8
Area = 84
84 = y * (y+8)
84 = y² + 8y
y² + 8y - 84 = 0
quadratic equation
y ( y - 6 ) + 14 ( y - 6 )
(y + 14 )( y - 6 )
So to find y
y + 14 = 0
y = -14
Or
y - 6 = 0
y = 6
We will you the positive value of y, because we can not have a negative value for measurements ( length or breath)
Therefore
breath = y
breath = 6ft
length = y + 8
length = 6 + 8 = 14ft
In a triangle, the sum of two of the angles is equal to the third. If the lengths of the two longer sides are 12 and 13, what is the length of the shortest side?
Estimate the length of a sheet of notebook paper.
A. 24 mm
B. 2.4 cm
C. 24 cm
D. 2.4 mm
The required standard length of the paper of the notebook sheet is 24 cm. Option C is correct.
Given that,
To estimate the length of a sheet of notebook paper.
All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
As per standard measurements, the length of the sheet of notebook paper for a standard notebook is 24 cm across the world.
This 24 cm is standardized as A4 size paper or A4 notebook.
Thus, The required standard length of the paper of the notebook sheet is 24 cm. Option C is correct.
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Solve for x.
4/5 = 7/x
A small business examines the income of 10 random households to determine if the community will be a good location for a store. Four of the households have an income between $30,000 - $55,000. Five of the households have an income between $70,000 - $100,000. One household has an income of over $700,000. Using the data obtained, which measure of central tendency will be greatly over-estimated?
A) mean
B) mode
C) median
D) None of the measures will be greatly over-estimated.
Answer:
mean trust me
Step-by-step explanation:
Sorry me again how do I do this?
what are three ordered pair of y=2x+0.5
A recent survey reveals that of the 250 poodle owners interviewed, 93% of them regularly groom their dogs. If there are 50,000 registered poodle owners in the city, how many owners are expected to regularly groom their dogs?
A. 46,500
B. 93
C. 3,500
D. 7
A wall in Marcus's bedroom is feet high and feet long. If he paints of the wall blue, how many square feet will be blue?
To find the square footage of a wall painted blue, you would first calculate the total size of the wall by multiplying the wall's height and length. Then, you would multiply this number by the proportion of the wall you plan to paint blue. This will give you the number of square feet that will be coloured blue.
Explanation:This question pertains to the mathematical concept of resolving problems involving areas and percentages. Marcus's wall's total area can be calculated by multiplying the wall's length and height. However, since the measurements have not been provided in the question, let's assume their values to be 'L' and 'H' feet respectively. The area of the wall would then be simply H*L square feet.
Now, if Marcus decides to cover a certain percentage of this wall with blue paint, we must determine the total square feet being painted. If the proportion of the wall to be painted is 'P', the blue-painted area is given by H*L*P (P being a decimal representation of the given percent, i.e., 20% would be represented as 0.20).
Therefore, the number of square feet that will be blue is the product of the total wall area and the proportion to be painted blue.
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Jordan is calculating the slope of the trend line in the scatterplot below.
How can Jordan use the plot to check the reasonableness of his answer?
His slope should be positive because the coordinates of all the plotted points are positive.
His slope should be positive because the trend line is slanted up to the right.
His slope should be negative because there are plotted points not on the line.
His slope should be negative because the x-coordinate of each plotted point is less than the y-coordinate.
Answer: B
His slope should be positive because the trend line is slanted up to the right.
Step-by-step explanation:
from left to right the line is increasing upward so it is positive so this means both of the bottom answers are wrong. answer A. is wrong because even slopes that are negative have all points positive sometimes so this is not a valid reason. therefore this leaves us with the answer B, which is correct.
His slope should be positive because the trend line is slanted up to the right. which is the correct answer would be an option (B).
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
Jordan is calculating the slope of the trend line in the given scatterplot.
As per the given scatter plot, the required solution would be as:
Take two points (1,24) and (8,96)
So, slope = (96-24)/(8-1) = 72/7 = 10.28
The line is moving upward from left to right, hence it is positive, implying that both of the bottom solutions are incorrect. Answer A. is incorrect since even negative slopes can have all points positive at times, hence this is not a legitimate argument.
As a result, we are left with solution B, which is accurate.
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Which of the following is the converse of the statement "if it is snowing, then it is my Birthday?
complete a table for the rule y = x2 + 2. Use negative and positive values and 0 for x
Table:
| x | y = x^2 + 2 |
|----|-------------|
|-3 | 11 |
|-2 | 6 |
|-1 | 3 |
| 0 | 2 |
| 1 | 3 |
| 2 | 6 |
| 3 | 11 |
let's complete a table for the rule [tex]\( y = x^2 + 2 \)[/tex] by plugging in various values of [tex]\( x \)[/tex], including negative, positive, and zero, and then calculating the corresponding values of [tex]\( y \)[/tex] .
Given the rule [tex]\( y = x^2 + 2 \)[/tex], we'll substitute different values of [tex]\( x \)[/tex] into the equation and solve for [tex]\( y \)[/tex]. Here's a step-by-step process:
1. Choose values for [tex]\( x \)[/tex]. Let's pick a range of values, including negative, positive, and zero, to get a good representation of the function.
2. Substitute each chosen value of [tex]\( x \)[/tex] into the equation [tex]\( y = x^2 + 2 \)[/tex].
3. Calculate the corresponding value of [tex]\( y \)[/tex] by performing the arithmetic operations.
4. Record the pairs of [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values in a table.
Here's the completed table:
| [tex]\( x \) | \( y = x^2 + 2 \)[/tex] |
|---------|-----------------|
| -3 | [tex]\( (-3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
| -2 | [tex]\( (-2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| -1 | [tex]\( (-1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 0 | [tex]\( (0)^2 + 2 = 0 + 2 = 2 \)[/tex] |
| 1 | [tex]\( (1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 2 | [tex]\( (2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| 3 | [tex]\( (3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
This table shows the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex] for the given rule [tex]\( y = x^2 + 2 \)[/tex], covering a range of values for [tex]\( x \)[/tex] including negative, positive, and zero.
A farm is to be built in the shape of Quadrilateral ABCD as shown belo all fou sides are equal A = 13.2 feet B= 15.5 feet
How many different triangles can be drawn with one 60° angle and two sides measuring 2 inches each?
A leaky pool loses 2 1/4 inches of water each day. Jermaine and Mildred are asked to determine the change in the amount of water in the pool over 5 days.
Jermaine’s Solution Mildred’s Solution
5(-2 1/4) 5(-2 1/4)
5(-2 -1/4) 5(-2 -1/4)
-10 -1/4 -10 -5/4
-10 1/4 -11 1/4
Which describes the reasoning used to determine whose solution is correct?
A. Jermaine is correct because -10 -1/4 equals -10 1/4.
B.Jermaine is correct because he distributed 5 correctly.
C.Mildred is correct because she multiplied 5 by –2 but not by -1/4.
D.Mildred is correct because she distributed 5 correctly.
Answer: D. Mildred is correct because she distributed 5 correctly.
Step-by-step explanation:
Since, the loss of water in one day = [tex]2\frac{1}{4}\text{ inches}[/tex]
⇒ The loss of water in 5 days = [tex]5(2\frac{1}{4})\text{ inches}[/tex]
⇒ The loss can be written with negative sign,
Thus, the expression that shows the changes in quantity of water in 5 days,
[tex]-5(2\frac{1}{4})[/tex]
[tex]=-5(2+\frac{1}{4})[/tex]
[tex]=5(-2-\frac{1}{4})[/tex]
[tex]=-10-\frac{5}{4}[/tex]
[tex]=-10-1\frac{1}{4}[/tex]
[tex]=-10-1-\frac{1}{4}[/tex]
[tex]=-11-\frac{1}{4}[/tex]
[tex]=-11\frac{1}{4}[/tex]
Since, the above steps are similar to that of Mildred's solution,
⇒ Mildred is correct.
Also, By the above explanation it is clear that jermaine incorrectly distribute 5 in his third steps.
⇒ Option D is correct.
The tax rate on Jerome James 112000 vacation home is 25 Mills the property is assessed at full value how much will Jerome pay in taxes this year
Answer: $2,800
Step-by-step explanation:
Given: The assessment value of Jerome's home= [tex]$112,000[/tex]
We know that to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and then divide by 1,000.
Then, the property tax is given by :-
[tex]\text{Property tax}=\dfrac{\$112,000\times25}{100}\\\\\Rightarrow=\text{Property tax}=\$2,800[/tex]
Therefore, Jerome pay $2,800 as property tax in this year.
Answer:
[tex]Property tax=$2800[/tex]
Step-by-step explanation:
Given: The assessment value of Jerome's home is given as =[tex]112000[/tex]
Solution: Since we know that in order to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and also divide by [tex]1000[/tex].
Then, the property tax is given as :-
[tex]Property tax=\frac{112000{\times}25}{100}[/tex]
[tex]Property tax=$2800[/tex]
Thus, Jerome pay $2,800 as property tax in this year.
A circular racetrack
has a diameter of 1/2 mile. How far does a car travel in one lap aroiund the track? Round to the nearest tenth.
A 6 mile walking trail has a distance marker every 1/3 mile.
The local radio station played 9 hip-hop songs and 6 hard rock songs in one hour. What percent of the songs played during this hour was hip-hop?
The tennis team is selling tickets to a car wash for $6.When they do not sell very many tickets,the team decreases the price 25% what is the new cost of the ticket?
PLEASE HELP!!! NEED HELP ASAP!! EXTRA POINTS TO THE FIRST PERSON TO ANSWER!!
a school is constructing a new tennis courts. each rectangular court will, be enclosed by a 600 ft fence. the length of the rectangular region will be 60 ft longer than the width. what are the dimensions of the new courts? use an equation or a system of equations to explain how you determined your answer.
Graph the linear equation find three points that solve the equation then plot on the graph 2y=-x+2
Answer:
Step-by-step explanation:
The tallest man ever recorded was Robert Wadlow, who was 272 cm tall. The tallest woman on record was Zeng Jinlian. Her height was 91% of wadlow’s height. How tall was Zeng Jinlian.
(Round to the nearest cm.)
247.52 centimeters.
To find this answer, you have to find 91% of Robert Wadlow's height. To do that, you multiply 272 by 0.91, which gives you the height of Zeng Jinlian.
Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each.
Design component Number of options
Primary color 8
Secondary color 8
Sole color 8
Lace color 5
How many different shoe combinations can Arturo create?
Answer:
2,560
Step-by-step explanation:
okay so im working on it right now on khan
so you have to do 8x8x8x5
8x8 = 64 then 64x8=512 then 512x5=
2,560
now im not just going to leave you guys with this explaination because i dont really like people just putting answers up when it's wrong just for the points thats why i try to show proff on MOST of my work
the screenshot is below for proff
please mark me brainlist
What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda?
1:24
24:1
1:6
6:1
I'm 100% sure the answer is D
convert a 30% markup percent on cost to markup percent on selling price. (round to the nearest hundredth percent)
Answer:
23.08 %
Step-by-step explanation:
Markup price is the difference between the selling price and cost price of an item.
m = Markup = 30
s = Selling price = 130
[tex]\text{Markup percent on selling price}=\frac{m}{s}\times 100\\\Rightarrow \text{Markup percent on selling price}=\frac{30}{130}\times 100\\\Rightarrow \text{Markup percent on selling price}=23.08\ %[/tex]
∴ Markup percent on selling price is 23.08 %
Can you show me how to do this?
In a division problem the ____ is the original number, which is being divided by the divisor, to get the quotient.
X^2 + 5x + c find the value of c that makes each trinomial a perfect square
To make the trinomial a perfect square, we can complete the square. The value of c that makes the trinomial a perfect square is c = 25/4.
Explanation:To make the trinomial a perfect square, we need to find the value of c. We can do this by completing the square. The trinomial can be written as x² + 5x + c = (x + a)², where a is a constant. Expanding the right side, we get x² + 2ax + a² which is equal to x² + 5x + c. Comparing the coefficients of x, we have 2a = 5. Solving for a, we get a = 5/2. Substituting this value back into the expression, we have x² + 5x + (5/2)² = (x + 5/2)². Therefore, the value of c that makes the trinomial a perfect square is c = (5/2)² or c = 25/4.
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Solve this problem - 35q = 5
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP