Hey, CadenClough! For this, it's best to use algebra. We know that rectangles have two of each measure: two lengths and two widths. This means the formula to find the complete perimeter of the rectangle is 2l + 2w = p.
Now let's look at the problem. For length, we have x + 3 and for width we have 2x - 6. First off, fill in the values for length and width in the perimeter equation like this:
[tex]2(x + 3) + 2(2x - 6) = 26[/tex]
Now distribute the 2:
[tex]--> 2x + 6 + 4x - 12 = 26[/tex]
Combine like terms:
[tex]2x + 4x + 6 - 12 = 26[/tex]
Simplify:
[tex]6x - 6 = 26[/tex]
Isolate x:
[tex]6x = 26 + 6[/tex]
--> [tex]x = \frac{32}{6}[/tex]
Now plug in the value of x:
[tex]2(\frac{32}{6} + 3) + 2(2 * \frac{32}{6} - 6)[/tex]
= 64/3 - 12 + 32/3 + 6
= 26
So x = [tex]\frac{32}{6}[/tex] or 16/3.
If two numbers represented 2m+1 and 2m+5 have a sum of 74 find m
a square has an area of 4 ft^2 what is the lenght of each side
area of square = 4ft²
a s area of square = length×lenght
let lenght =x
so area = x²
x²= 4ft²
taking square root
x=2 ftSo lebght of each side is 2 ft.
Help!!! On geometry all help is appreciated
(1)
we are given two points
A=(-3,-4)
B=(2,0)
and point P [tex](-1, -\frac{12}{5} )[/tex] partitions AB
Let's assume it partitions into m:n
so, we get
[tex]\frac{AP}{PB}=\frac{m}{n}[/tex]
so, we can write our point as
[tex](-1,-\frac{12}{5} )=(\frac{2m-3n}{m+n},\frac{0m-4n}{m+n})[/tex]
now, we can set x-value to x-value
and y-value to y-value
and then we can solve for m and n
[tex]-1= \frac{2m-3n}{m+n}[/tex]
[tex]-\frac{12}{5} =\frac{0m-4n}{m+n}[/tex]
now, we can solve for m/n
[tex]-m-n=2m-3n[/tex]
[tex]3m=2n[/tex]
[tex]\frac{m}{n} =\frac{2}{3}[/tex]
so, option-C.........Answer
(2)
we are given points as
J=(10, -2)
N=(-4 ,6)
Let's assume mid-point between J and N as M
so, we get
[tex]M=(\frac{10-4}{2},\frac{-2+6}{2})[/tex]
[tex]M=(3,2)[/tex]............Answer
How many times greater is the value of 5.3 than the value of 0.53
To find the number of times greater, let us divide 5.3 by 0.53.
Number of times greater = [tex]\frac{5.3}{0.53}[/tex]
[tex]=\frac{5.3}{0.53}(\frac{100}{100} )[/tex]
[tex]=\frac{530}{53}[/tex]
= 10
Hence, 5.3 is 10 times greater than 0.53.
The number of men aged 25-34 is (type an expression using x as the variable)
Since x=228 and the next age group count (men) is 309, expressed as a sum: x+81
mr. Russell owes 1235 shares of XYZ stock. On Monday, the start decreased by $0.67 a share. On Tuesday, decreased by $0.53 a share. What is the change in the value of stock shares for their two days?
loss of $1,482.00 is the answer
y=5x-6 and -15x+3y=-18
Infinitely many solutions.
What are the closest integers that the square root of 300 is in between?
The square root of 300 is approximately 17.32, placing it between the integers 17 and 18. The square of 17 is 289, and 18 is 324, confirming this placement.
The square root of 300 falls between two consecutive integers. To find the closest integers, we can estimate the square root's value. The square root of 300 is approximately 17.32, as 17 squared is 289 and 18 squared is 324. Therefore, the square root of 300 is greater than 17 but less than 18.
In terms of integers, the square root of 300 is between 17 and 18. These are the closest integers that the square root of 300 falls between.
To further validate this, we can square both 17 and 18. The square of 17 is 289 (less than 300), and the square of 18 is 324 (greater than 300). This confirms that the square root of 300 indeed lies between 17 and 18.
In summary, the closest integers that the square root of 300 falls between are 17 and 18.
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Use the corresponding angles diagram to answer the question. If m angle 5=42 degrees, what is m angle 4?
The measure of angle 4 will be 42 degrees because corresponding angles are equal when two lines are cut by a transversal, and in this case, angle 5 and angle 4 are corresponding angles.
Explanation:The concept involved here is that corresponding angles are equal when two lines are cut by a transversal. In the given problem, angle 5 and angle 4 are corresponding angles because they occupy the same relative position at an intersection of a transversal and two lines. Therefore, if the measure of angle 5 (m angle 5) is 42 degrees, then the measure of angle 4 (m angle 4) will also be 42 degrees.
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what is the equation of the product of three more than a number and eight is fourteen
First, we start with the product
so _________ * _________
Now, the first part of the product is 3+ (a number), n
so (3+n)*___________
And the other side is 8
(3+n)*8
or 8(3+n) =14
Let the number is x
Three more than a number: x + 3
so the product of three more than a number and eight : 8(x + 3)
Now you can write he equation of the product of three more than a number and eight is fourteen
8 (x + 3) = 14
Hope that helps
I need help PLEase (if you have the time)
im just not very smart
What property of numbers is demonstrated in the equation (10 + 7) × 9 = (10 × 9) + (7 × 9)?
This is the distributive property because you are distributing the 9 into both terms of the parenthesis.
(10 + 7) x 9 = 10(9) + 7(9)
Answer: Distributive Property
i believe its distributive property
Simplify -7 1/8 - (-9 1/2
Convert 7 1/8 to an improper fraction.
Simplify 7 * 8 to 56
-56 + 1/8 - (-9 1/2)
Simplify 56 + 1 to 57
-57/8 - (-9 1/2)
Convert 9 1/2 to an improper fraction.
-57/8 - (-9 * 2 + 1/2)
Simplify 9 * 2 to 18
-57/8 - (-18 + 1/2)
Simplify 18 + 1 to 19
-57/8 - (-19/2)
Simplify brackets
-57/8 + 19/2
Find the LCD
LCD = 8
Make the denominators the same as the LCD
-57/8 + 19 * 4/2*4
Simplify. Denominators are now the same
-57/8 + 76/8
Join the denominators
-57 + 76/8
Simplify
19/8
Convert to a mixed fraction.
2 3/8
Your answer is D.
Meredith Pick 4 times as many green peppers as red peppers if she picked a total of 20 peppers how many green peppers does she pick
Need help with this can you tell me exactly where I’m supposed to place the dot plz and plz get me this answer fast thank you
write an equation involving absolute value for graph
The absolute value inequality which illustrates the information on the number line is 1 ≤ X ≤ 11
The use of thick shaded dots on a number line represents the ≤ or ≥ notation. The value of X could be any value in between the dotted point. This means the value could be any value between 1 and 11 (With 1 and 11 inclusive). Since, the we have a shaded dot, then 1 ≤ X ; similarly X ≤ 11.Combining the two conditions ; we obtain 1 ≤ X ≤ 11.Therefore, the expression depicted by the absolute value graph is 1 ≤ X ≤ 11
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Mia says in 5,555 all the digits have the same value. Is MIA correct? Explain
no because the first five equals 5000
the second 5 equals 500
the third 5 equals 50
and the fourth 5 equals 5.
Find the percent of the number. What is 256% of 75
It is 192.
75 is 100% so we can write it down as 75=100%.
75=100% x=256%
CROSS MULTIPLY, proportions.
75/100 X/256
19200/100 equals 192
N is the midpoint of MO. If MN = 4x - 5 and NO = 2x + 1 , find MO.
the answer is 10 that's my answer
The figures below have the same perimeter determine if each statement is true or false
The equation of the graphed line is x + 2y = 5. What is the x-intercept of the graph?
The x-intercept is
If you have to find x-intercept, then you have to equate y to 0. Thus,
when y=0, x+2·0=5 and x=5.
Point (5,0) is x-intercept.
Answer: (5,0)
The x-intercept of the graph is:
5
and the point where it is obtained is (5,0)
Step-by-step explanation:We know that the x-intercept of a graph is the x-value of the point where it's y-value is zero.
Similarly the y-intercept of a graph is the y-value of the point where it's x-value is zero.
We are given a equation of a line as:
[tex]x+2y=5[/tex]
Hence, when y=0 in the equation we get:
[tex]x=5[/tex]
Hence, the point where the x-intercept is obtained is: (5,0)
and the x-intercept of the graph is: 5
In one weekend,a theatre sells 74,877 tickets to a new movie. Write the values for each of the 7s in 74,877
The values for each of the 7s in 74,877 can be expressed as ;
The first 7 from the left means thousands, which is express in the value of 7,000.The middle 7 means hundreds, with a value of 700.The last 7 from the right means ones, with the value of 7.What is Ones Tens Hundreds Thousands?The rank or position of a digit in a huge number is one tens hundred thousand. It establishes the place value where the digit is located. The value a digit in a number represents based on where it is in the number is known as place value.
For instance, 700 is the place value of 7 in 3,743. Nevertheless, 7,000 or 7,000 is the place value of 7 in 7,432.
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-6x-11x=68 HEEEEEEEEEEELP
Answer:
The correct answer would be 4. Explanation below
Step-by-step explanation:
-6x-11x = 68
-6x-11x = -17x
-17x = 68
68/-17 = 4
Hope this helps!
~Starr
Answer:
Hey there! The correct answer would be x=-4.
Step-by-step explanation:
To start, you would first need to combine your like terms, terms that are not only raised to the same power but also have the same exact variables. In this case, your like terms are -6x and -11x:
-6x-11x=68 --> -17x=68
Now, divide both sides by -17 in order to isolate your variable term:
-17x/-17 = 68/-17
x=-4
Therefore, your answer would be x=-4.
To check to make sure this answer is right, plug -4 in for x and see if the result is 68=68:
-6(-4)-11(-4)=68
24+44=68
68=68
Hope this helps! :)
What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0? A. slope = -2, y-intercept = B. slope = 2, y-intercept = C. slope = -2, y-intercept = D. slope = 2, y-intercept = E. slope = -2, y-intercept =
3(y − 2) + 6(x + 1) − 2 = 0
3y - 6 + 6x + 6 - 2 = 0
3y + 6x - 2 = 0
3y = -6x + 2
y = -2x + 2/3
Slope = - 2
Y intercept = b - 2/3
Answer
A. slope = -2, y-intercept = B
slope = -2
Y-intercept= 2/3
You dont have the Y-intercept numbers so i cant say if its A,B,C, or D.
Please send out a step by step solution
the picture is blurry
Does anyone know the answer to this question? Or at least a way to solve it?
From the fact that the two horizontal lines are parallel, you can deduce <A=<B
so you can equate the two right-hand sides of the equations:
6x+12=3x+63 and solve for x
3x = 51
x= 17 degrees is the measure <A (and <B as well)
can anyone help me on these questions?
the image is below;
many thanks,sam...
Answer:
a)
[tex] {( \sqrt{5}) }^{2} \times {( \sqrt{3}) }^{2} = 5 \times 3 = 15[/tex]
b)
[tex]( { \sqrt[3]{9} )}^{3} \times ( { \sqrt{30} )}^{2} = 9 \times 30 = 270[/tex]
Please help don't guess.
The easy way to do this is:
Since the radius of the second circle is exactly 6 times the radius of the first circle, you could just multiply the circumference by 6:
9.42 x 6 = 56.52! But let's double-check.
9 x 2 = 18 So, the diameter is 18.
18 x 3.14 = 56.52! So, 56.52 is the correct answer!
Remark
The formula you should be using is
C = k*r because this is a variation question. There are ways of doing this without solving for k, but it is a good idea to solve for k first.
Givens
C = 9.42
r = 1.5
k = ??
K =
C = k*r
9.42 = k * 1.5
k = 9.42/1.5
k = 6.28 which is what it should be given that pi = 3.14. But you must check.
r = 9
C = k*r
C = 6.28 * 9
C = 56.52 which rounded = 57 to the nearest inch
57 Answer
what is the answer to 2 2/7
A little more specific? So i could help out, thanks
how can graphing help solve a problem involving ratios
To solve a problem involving ratios:
The higher the ratio, the line will seem steeper.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
To solve a problem that has ratio:
We can solve by graphing.
Ratios can be compared using tables and graphs.
The higher the ratio, the line will seem steeper.
Therefore, the line will seem steeper.
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