Answer: First option is correct.
Step-by-step explanation:
Since we have given that
5d^2+4d-3-(2d^2-3d+4)
We need to find the correct difference.
Collect the like terms together.
5d^2+4d-3-(2d^2-3d+4)\\\\=5d^2+4d-3-2d^2+3d-4\\\\=5d^2-2d^2+4d+3d-3-4\\\\=3d^2+7d-7
Hence, First option is correct
Answer:
1st one :)
Step-by-step explanation:
If f(x) =x/2+8, what is f(x) when x=10 ?
A) 4
B)9
C)13
D)36
I did the math and got the answer c -13
The answer would be option C, 13
Rhonda bought five shirts from a
store and had $10 left. If she had only
bought three shirts, she would have
had $24 left.
If each shirt costs the same, which of
the following equations could be used
to determine x, the cost of each shirt,
in dollars?
A 10 - 5x = 24 - 3x
B 5x + 3x = 10 + 24
C 10 + 5x = 24 +3x
D 5 + 10x = 3 + 24x
Answer:
Option C [tex]10+5x=24+3x[/tex]
Step-by-step explanation:
Let
x ------> the cost of each shirt
we know that
The cost of 5 shirts plus $10 (amount of money that would remain) must be equal to the cost of 3 shirts plus $24 (amount of money that would remain). Considering that the cost of the shirts is the same
The linear equation that represent this scenario is
[tex]10+5x=24+3x[/tex]
Solve for x
[tex]5x-3x=24-10[/tex]
[tex]2x=14[/tex]
[tex]x=\$7[/tex]
To determine the cost of each shirt, set up a system of equations with the given information. By solving the equations, we find that the cost of each shirt is represented by option C.
Explanation:To determine the cost of each shirt, we can set up a system of equations based on the given information. Let x represent the cost of each shirt. We have the following equations:
For five shirts: 5x + 10 = total amount spent (equation A)For three shirts: 3x + 24 = total amount spent (equation B)We know that Rhonda had $10 left after buying five shirts, so equation A can be rewritten as 5x + 10 = 10. Simplifying this equation, we get 5x = 0, which means x = 0.
Now, let's substitute x = 0 into equation B. We get 3(0) + 24 = 24. Since Rhonda had $24 left after buying three shirts, this is the correct equation.
Therefore, the correct equation to determine the cost of each shirt is 3x + 24 = total amount spent. Option C represents this equation.
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passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?
A.
5x − 3y = 0
B.
-x + 3y = 0
C.
-5x − 3y = 0
D.
3x + 5y = 0
E.
-3x + 5y = 0
ANSWER
[tex]- 5x - 3y = 0[/tex]
EXPLANATION
The line that passes through the origin has equation of the form:
y=mx
Where m is the slope.
Since the line is parallel to the line through A(-3, 0) and B(-6, 5), they have the same slope.
The slope is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
[tex]m = \frac{5 - 0}{ - 6 - - 3} = - \frac{5}{3} [/tex]
Hence the required equation is:
[tex]y = - \frac{5}{3} x[/tex]
Multiply through by 3,
[tex]3y = - 5x[/tex]
In standard form, the equation is
[tex] - 5x - 3y = 0[/tex]
Answer:
The answer is C. -5x - 3y = 0
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Tile costs $7 per square foot. What is the cost of the tile for the kitchen?
The cost of the tile for the kitchen is $___
Answer:
The cost of the tile for the kitchen is $1,680
Step-by-step explanation:
step 1
we know that
The scale drawing is [tex]\frac{1}{16}\frac{in}{ft}[/tex]
The dimensions of the kitchen in the blueprint are
L=3(1/4)=3/4 in
W=5(1/4)=5/4 in
step 2
Find the actual dimensions of the kitchen
Divide the dimensions of the kitchen in the blueprint by the scale drawing
L=(3/4)/(1/16)=12 ft
W=(5/4)/(1/16)=20 ft
The area is equal to
A=(12)(20)=240 ft²
step 3
Find the cost of the tile for the kitchen
7(240)=$1,680
Answer:
Cost of the tiles for the kitchen is $1680
Step-by-step explanation:
From the figure attached,
Dimensions of the kitchen = 5 small squares by 3 small squares
Since 1 small square = [tex]\frac{1}{4}[/tex] inch
So the dimensions of the kitchen in inches = [tex]\frac{5}{4}[/tex] inches by [tex]\frac{3}{4}[/tex] inches
Map Scale has been given as
1 inch = 16 ft
Therefore actual dimensions of the kitchen will be
[tex]\frac{5}{4}\times 16[/tex] ft by [tex]\frac{3}{4}\times 16[/tex] ft
= 20 ft by 12 ft
Area of the kitchen = 20×12
= 240 ft²
Per square feet tile cost = $7
So the cost of tiling 240 ft² will be = 240 × 7
= $1680
Therefore, cost of the tiles for the kitchen is $1680
Find m< ABC (4x+2) (7x-19)
Answer:
<ABC = 30°
Step-by-step explanation:
Vertical angles are equal
So
4x+2 = 7x - 19
-7x + 4x = -19 - 2
-3x = -21
x = 7
<ABC = 4(7) + 2 = 28 + 2 = 30
<ABC = 30°
Give an example of a function with both a removable and a non-removable discontinuity.
Answer:
[tex]\frac{(x+5)(x-3)}{(x+5)(x+1)}[/tex]
Step-by-step explanation:
A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator. It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x. In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.
Using the continuity concept, it is found that the function with both a removable and a non-removable discontinuity is:
[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - 1)(x - 3)}[/tex]
----------------------------------------------
Continuity:
A function is not continuous at points that are outside it's domain.
If the point outside the domain can be factored, it is removable.If the point outside the domain cannot be factored, it is non-removable.----------------------------------------------
An example can be taken considering a function as follows:
[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - a)(x - b)}[/tex]
If a = 1, the term with [tex]x - 1[/tex] in the denominator can be factored with the term with [tex]x - 1[/tex] in the numerator, and this the function will have a removable discontinuity.Now, if for example, b = 3, the term with [tex]x - 3[/tex] cannot be factored, and thus, the function will have a non-removable discontinuity.The function is:
[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - 1)(x - 3)}[/tex]
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How can we define appropriate quantities for the purpose of descriptive modeling?
Answer:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays
Step-by-step explanation:
You've assigned your math class a set of word problems. One of the questions ends with, "How many people voted for candidate Jones?" Fingers fly over calculators as your students try to determine the correct answer. After a minute or two, Tommy raises his hand and announces his answer: 4,602.28
Everything inside of you wants to scream, "Are you out of your mind, Tommy boy? A closer answer would be 4 because at least it would be possible! How on earth could a candidate receive 28 hundredths of a vote?"
Okay, breathe. Poor Tommy has made the kind of error that drives math teachers like you to the brink of insanity. He's given an answer that makes absolutely no sense.
Whatever else math is or isn't, it is always logical. Answers should always make sense. Math frequently relies on general knowledge—concepts that we assume are known by everyone over the age of about seven—along with a healthy dose of common sense (not you, Thomas Paine).
The problem, of course, is that people have a tendency to ignore both common sense and the knowledge that they possess. Particularly when calculators are involved, there's the tendency to run with the answer you're given. That ignores one very basic principle: the calculator answers the question you ask, not the one you intended to ask.
This was just an example of Descriptive Modeling
Thank you for asking this question
please choose me as brainiest Answer to support me
We can define appropriate quantities for the purpose of descriptive modeling on the basis of evaluation,analyse,understanding and selecting appropriate measurement units to solve problems.
Defining appropriate quantities for the purpose of descriptive modeling
Suppose we are analysing a data of two sports academy for training of players.
[tex]$$\begin{table}[]\begin{tabular}{llll}Academy & Coaches & Players & Equipment \\Academy A & 4 & 50& 70\%\\Academy B & 3 & 45& 80\% \end{tabular}\end{table}$$[/tex]
If we calculate performance of two academy on the basis of no. Of players per coach then Academy B is best.
If we calculate Academy performance by calculating percentage of equipment per player then Academy A is best.
Here we are evaluating the performance of two sports academy by understanding the problem and analysing the given data by using the appropriate units.
So from the above data we can say that evaluation,analyse,understanding and selection of appropriate measurement units is important for appropriate quantities for the purpose of descriptive modeling.
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Which set of ordered pairs is a function?
Answer:
The second set is a function as none of the x values repeat.
Step-by-step explanation:
In order for a set of ordered pairs to be a function, they must only have one range value for each domain value.
In other words, an x value cannot occur twice.
Within the first set, the value x=2 is repeated 5 times. This means that it is not a function
Within the third set, the value x=1 is repeated twice and x=4 is repeated twice, This means that it is not a function
Within the fourth set, the value x=1 is repeated twice and x=2 is repeated twice, this means that this is not a function
The second set is a function as none of the x values repeat.
Answer:
the second one is a function
Step-by-step explanation:
Two angles are supplementary (add up to 180 degrees). The measure of one angle is ten more than the other. Find the measure of each angle.
Answer:
85° and 95°
Step-by-step explanation:
So, one angle is x, the other angle is x + 10. Using this, you can form an equation.
x + x + 10 = 180
Now, solve the equation.
2x + 10 = 180
2x = 170
x = 85
So, one angle is 85 while the other angle is 95.
85 + 95 = 180,
so we know that our answer is correct.
Answer:
85,95
Step-by-step explanation:
What is the benefit of using expressions in math?
Answer:
To help you understand the problem with out actually doing the work, you are just writing it out.
Step-by-step explanation:
Answer:
The benefits of using expressions in math is to know what you are supposed to be using to solve your problem. Expression area good use too also for word problems!!
Step-by-step explanation:
Plz mark Brainlist!!!
What is the x-intercept of the line with the equation 4x + 3y = 12? A) 4 B) 3 C) 2 D) 1 3
Answer:
B)3
Step-by-step explanation:
to find "x" intercept substitute 0 for y and solve
4x+3(0)=12
4x+0=12
divide by "4" on both sides:
4x/4=12/4
x=3
hope this helps!
Answer: B
Step-by-step explanation: I put it in a website and the answer is b
In a 2-card hand, what is the probability of holding 2 kings?
A pack of cards has 52 cards, 4 of which are kings, so the probability of the first card being a king is (4/52). Since you have already chosen a card, there are only 51 cards left to choose from in the entire deck (the first card is not counted anymore because it has already been pulled from the deck), and since the card you chose was a king, you are left with only 3 more kings, meaning that the probability of the second card being a king is (3/51). Since we are interested in both happening simultaneously, we must multiply the probability of the first by the probability of the second: (4/52) • (3/51), which leaves us with: * 12/2,652 or 0.0045249 *
To find the probability of holding 2 kings in a 2-card hand, you need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 6 favorable outcomes out of 1,326 possible outcomes, resulting in a probability of approximately 0.0045 or 0.45%.
Explanation:To find the probability of holding 2 kings in a 2-card hand, we first need to determine the total number of possible 2-card hands that can be dealt from a standard 52-card deck. The number of combinations of choosing 2 cards from 52 is given by the formula C(52, 2) = 52! / (2! * (52-2)!) = 1,326.
Next, we need to determine the number of favorable outcomes, which is the number of ways to choose 2 kings from the 4 kings in the deck. This can be calculated as C(4, 2) = 4! / (2! * (4-2)!) = 6.
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: P(2 kings) = 6/1,326 ≈ 0.0045 or 0.45%.
Write an absolute value equation, to satisfy the given solution set:
Answer:
Step-by-step explanation:
First find the midpoint
11+5/2
162
8
Then the distance between them
6
Now divide 6/2 and you get 3
The answer is
absolute value of x-8=c
Could not find absolute value symbol. Clarification; x and 8 are in absolute value format.
Answer:
|x-8|=3
Step-by-step explanation:
You have to find the average between 5 and 11
So we would have to do (11+5)/2=8
Than we have to make an equation.
|x-8|=3
The reason why its 3 is because there is no such thing as a negative distance The distance is always positive.
The perimeter of a regulation singles tennis court is 210 feet and the length is 57 feet less than five times the width.
Answer:
Length = 24 and Width = 81
Step-by-step explanation:
Let Width be W
then Length = W-57
Perimeter of rectangle = 2(Length + Width)
=2 (W-57+W)= 210
4W- 114= 210
4W= 324
W= 81
Then Length = 81-57 = 24
The length and width of a regulation singles tennis court is 78 feet and 27 feet respectively when the perimeter is 210 feet and length is 57 feet less than five times the width. This can be obtained by using formula of perimeter of a rectangle and algebraic expression.
What is the formula of perimeter of rectangle?The formula of perimeter of rectangle is,P = 2(l + b) where P is the perimeter of the rectangle, l is the length of the rectangle and b is the width of the rectangle.
Find the expression for length:Length of the rectangle is 57 feet less than five times the width, that is, in the form of algebraic expression,
l = 5b - 57 , where l and b are length and width.
Calculate the length and width:Given that, perimeter P=210 feet, length l= 5b - 57, width b = b
By using formula of perimeter of rectangle,P = 2(l + b)
210 = 2((5b - 57) + b)
210 = 2(5b + b -57) =2(6b - 57)
210 = 12b - 114
12b = 210 + 114 = 324
b = 324/12 =27 ⇒b = 27 feet
Now find the length by substituting the value of width in the expression for length,l = 5b - 57
l = 5(27) - 57
l =135 - 57 =78 ⇒ l = 78 feet
l = 78 feet and b = 27 feet
Hence the length and width of a regulation singles tennis court is 78 feet and 27 feet respectively when the perimeter is 210 feet and length is 57 feet less than five times the width.
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explain how similar triangles ABC and dbe formed by the graph, dashed lines, and x axis are similar in relation to the numbers of pens purchased and the cost.
Answer:
The triangles abc and dbe show that the consistent cost of the pens is 2 dollars for each individual pen
Step-by-step explanation:
The grass in jamie's yard grew 16 centimeters in 10 days.It was growing at a constant rate. How many days did it take the the grass to grow 1 centimeter?,How many centimeter did the grass grow in 1 day?
Answer:
1.6 cm
0.625 day
Step-by-step explanation:
We are given that the grass in Jamie's yard grew 16 cm in 10 days.
It was growing at constant rate.
We have to find number of days taken by the grass to grow 1 cm and how many cm grass grow in one day.
In 10 days , grass grow=16 cm
In 1 day, grass grow=[tex]\frac{16}{10}=1.6 cm[/tex]
Grass takes time to grow 16 cm=10 days
Grass takes time to grow 1 cm=[tex]\frac{10}{16}[/tex]=0.625 days
Hence, the grass grow 1 cm in 0.625 days and the grass grow 1.6 cm in one day.
To find the number of days it took for the grass to grow 1 centimeter, divide the number of days by cm of growth. This equals 0.625 days. To find how many centimeters the grass grew in a day, divide the total growth by the total number of days. This equals 1.6 centimeters per day.
Explanation:The problem states that the grass in Jamie's yard grew 16 centimeters in 10 days at a constant rate. We can set up two equal ratios to find out how many days it took for the grass to grow 1 centimeter and how many centimeters it grew in 1 day.
Firstly, to determine the number of days it took for the grass to grow 1 centimeter, you can divide the number of days (10) by the number of centimeters (16). This gives us 10/16 = 0.625 days for the grass to grow 1 centimeter. Secondly, to determine how many centimeters the grass grew in 1 day, you would divide the total growth (16 centimeters) by the total number of days (10). This results in 16/10 = 1.6 centimeters of growth per day. Learn more about Ratio and Proportion here:
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Given ax^+bx+c=2(1.2x+0.3)(x-0.5)+(0.5x^+2.5x-1.3). What are the values of a,b, and c?
For this case we must find the values a, b, c:
[tex]2 (1.2x + 0.3) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x + 0.6) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]
We apply distributive property:
[tex](2.4x ^ 2-1.2x + 0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x ^ 2-0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]
We finish the term:
[tex]2.9x ^ 2 + 1.9x-1.6[/tex]
Answer:[tex]a = 2.9\\b = 1.9\\c = -1.6[/tex]
What is the area of this figure ?
The area of the figure which is composed of a rectangle and a square is 76 km²
What is the area of the composite figure?The figure in the image is composed of a rectangle and a square.
The area of a rectangle = length × width
The area of a square = length²
To determine the area of the figure, we add the area of the rectangle and the area of the square.
Area of the figure = ( length × width ) + ( length² )
Plug in the given dimensions:
Area of the figure = ( 9 km × 8km ) + ( 2 km )²
Simplifying; we get:
Area of the figure = 72 km² + 4 km²
Area of the figure = 76 km²
Therefore, the area of the composite figure measures 76 km².
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Find the area of a triangle which has a base of 22cm and a height of 16cm
The area of the triangle will176 because 22×16 you will 352 s you just need to divide that by two and you get 176 so you your total area for the triangle is 176 and don’t forget put as square
What is the value of 12+6/n when N=2
Final answer:
The value of 12 + 6/n when N=2 is 15.
Explanation:
The value of 12+6/n when N=2 is found by substituting N=2 into the expression:
12 + 6/2 = 12 + 3 = 15
Therefore, the value of 12 + 6/n when N=2 is 15.
Compute the Value of x.
Check the picture below.
Which of the following is the cube root of 125 ?
Answer:
3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The cube root is the number which multiplied by itself 3 times results in 125
Note that 5 × 5 × 5 = 25 × 5 = 125
Thus the cube root of 125 is 5
The current l, in a circuit varies inversely with the resistance, R. If the resistance is 12 when the current is 3, what is the resistance when the current is 6?
Answer:
6
Step-by-step explanation:
Given I varies inversely with R then the equation relating them is
I = [tex]\frac{k}{R}[/tex] ← k is the constant of variation
To find k use the condition R = 12 when I = 3
k = IR = 3 × 12 = 36
I = [tex]\frac{36}{R}[/tex] ← equation of variation
When I = 6, then
6 = [tex]\frac{36}{R}[/tex], hence
R = [tex]\frac{36}{6}[/tex] = 6
prove csc-sin = cot^2/csc
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• cscx = [tex]\frac{1}{sinx}[/tex]
• cot²x = [tex]\frac{cos^2x}{sin^2x}[/tex], sin²x + cos²x = 1
Consider the left side
cscx - sinx
= [tex]\frac{1}{sinx}[/tex] - sinx
=[tex]\frac{1-sin^2x}{sinx}[/tex]
= [tex]\frac{cos^2x}{sinx}[/tex] × [tex]\frac{sinx}{sinx}[/tex]
= [tex]\frac{cos^2x}{sin^2x}[/tex] × sinx
= cot²x × [tex]\frac{1}{cscx}[/tex]
= [tex]\frac{cot^2x}{cscx}[/tex] = right side ⇒ verified
The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult prefers chocolate ice cream? A) 55 52 B) 55 54 C) 55 107 D) 55 119
Answer:
C)
55
107
Step-by-step explanation
i took the usa test prep
Using it's concept, it is found that the probability that an adult prefers chocolate ice cream is given by:
D. 55/119.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 55 + 54 + 10 = 119 adults, and of those, 55 prefer chocolte ice cream, hence the probability is given by:
p = 55/119.
Thus option D is correct.
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The side of a square measures 3mn2? What is the area of the square if x = -2 and y = 2?
Answer:
ur cute
Step-by-step explanation:
find the surface area of the rectangular prism
4x2x3
Answer:
52
Step-by-step explanation:
Answer:
64 in²
Step-by-step explanation:
Please, include the units of measurement:
"rectangular prism 4 in by 2 in by 3 in."
One side is 4 by 2 in², or 8 in²; another is 4 by 3 in², or 12 in², and the third side is 3 by 4 in², or 12 in². We have 2 of each side, so the total surface area is
A = 2(8 in² + 12 in² + 12 in²) = 2(32 in²), or 64 in²
what is the surface area of this square pyramid
Answer:
33 ft²Step-by-step explanation:
We have
the square with side s = 3ft
four triangles with base b = 3ft and height h = 4ft
The formula of an area of a square:
[tex]A=s^2[/tex]
The formula of an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
Substitute:
[tex]A_{\square}=3^2=9\ ft^2[/tex]
[tex]A_{\triangle}=\dfrac{(3)(4)}{2}=\dfrac{12}{2}=6\ ft^2[/tex]
The Surface Area:
[tex]S.A.=A_{\square}+4A_{\triangle}\\\\S.A.=9+(4)(6)=9+24=33\ ft^2[/tex]
Answer:
33 ft&²
Step-by-step explanation:
multiply 4x3x3 = 36 and put half of 6, then it is 33 33ft²
John made a rectangle pen for his dog using 28 feet of fencing. If the width of the two more than one-half the length what is the length and width of The pen the length I’ve pen is
Answer:
The length of the pen is [tex]8\ ft[/tex]
The width of the pen is [tex]6\ ft[/tex]
Step-by-step explanation:
Let
x-----> the length of the pen
y----> the width of the pen
we know that
The perimeter of the pen is
[tex]P=2(x+y)[/tex]
[tex]P=28\ ft[/tex]
so
[tex]28=2(x+y)[/tex]
[tex]14=(x+y)[/tex] ------> equation A
[tex]y=2+\frac{1}{2}x[/tex] -----> equation B
Substitute equation B in equation A and solve for x
[tex]14=x+(2+\frac{1}{2}x)[/tex]
[tex]14-2=\frac{3}{2}x)[/tex]
[tex]12=\frac{3}{2}x)[/tex]
[tex]x=12*2/3=8\ ft[/tex]
Find the value of y
[tex]y=2+\frac{1}{2}(8)=6\ ft[/tex]
therefore
The length of the pen is [tex]8\ ft[/tex]
The width of the pen is [tex]6\ ft[/tex]
John's dog pen is solved to have dimensions of 8 feet in length and 6 feet in width by using algebraic expressions to relate the given conditions about the pen's perimeter and the relationship between its length and width.
Explanation:Let's solve John's problem by denoting the length of the rectangle as L and the width as W. According to the problem, we know that the entire fencing measures 28 feet, so the perimeter of the rectangle can be calculated as 2L + 2W = 28. Furthermore, it's given that the width is two more than one-half the length, which translates to W = ½L + 2.
First, substituting the width's equation into the perimeter equation gives us 2L + 2(½L + 2) = 28. Simplifying this equation leads to L = 8 feet. Plugging the length's value back into W = ½L + 2 gives W = 6 feet.
Therefore, John's dog pen has dimensions of 8 feet in length and 6 feet in width.
Which point on the number line below represents a number that is less than -2.5 but greater than -7.5?
Point R
Point S
Point T
Point V
HELP ASAP
Answer:
S
Step-by-step explanation:
Answer:
S is the answer
Step-by-step explanation: