Answers
The perimeter of a rectangle is 2(L + W)
2 [(7x + 1) + (x - 3)]
= 2(7x + 1 + x - 3)
= 2( 8x - 2)
= 16x - 4
The simplified expression for the perimeter of the rectangle is 16x - 4. The perimeter of a rectangle is given by the formula: P = 2 * (length + width).In this case, the length of the rectangle is given as 7x + 1, and the width is given as x - 3.
So, the perimeter can be expressed as: P = 2 * (7x + 1 + x - 3)
Now, let's simplify this expression: P = 2 * (8x - 2)
P = 16x - 4
Therefore, the simplified expression for the perimeter of the rectangle is 16x - 4.
A rectangle is a type of quadrilateral with specific properties that distinguish it from other shapes. Here are some key properties of a rectangle:
Opposite Sides are Equal in Length: In a rectangle, the opposite sides are always equal in length. This means that the length of one pair of parallel sides is the same as the length of the other pair.
Opposite Angles are Equal: The opposite angles in a rectangle are equal in measure. This property makes all angles in a rectangle right angles (90 degrees).
Consecutive Angles are Supplementary: Consecutive angles in a rectangle are supplementary, meaning that the sum of any two consecutive angles is 180 degrees. This property is a consequence of the fact that opposite angles are equal, making each pair of consecutive angles form a linear pair.
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Related Questions
calculate the arthmetic mean of 40,50,60,70,80,90.
Answers
9514 1404 393
Answer:
65
Step-by-step explanation:
The six numbers are sequential multiples of 10, so the mean is halfway between the middle two. Halfway between 60 and 70 is 65.
The mean of the 6 numbers is 65.
Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.
a. A function for the edge length of a cube is L(d) = _________________
b. A function for the surface area of a cube is Ald) = _____________
c. A function for the volume of a cube is V(d) = ________________
Answers
Answer:
Step-by-step explanation:
If L is the length of a side, the longest diagonal in the cube is
d = √(L² + L² + L²) = √(3L²) = L√3
meaning
a) L(d) = d/√3 = ⅓d√3
b) A(d) = 6(L(d))² = 6(⅓d√3)² = 6(⅟₉d²(3)) = 2d²
c) V(d) = (L(d))³ = (⅓d√3)³ = ⅟₂₇d³3√3 = ⅟₉d³√3
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answers
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
The following is the number of oil changes for the last 7 days at the Jiffy Lube located at the corner of Elm Street and Pennsylvania
Avenue.
41
15
39
54
31
15
33
Determine the mean, median, and mode. (Round "Mean" to 2 decimal places.)
Mean
Median
3257
54
Mode
Answers
Given:
[tex]\to \bold{41,15,39,54,31,15,33}[/tex]
Arrange numbers into ascending order:
[tex]\to \bold{15, 15, 31, 33, 39, 41, 54 }[/tex]
Mean formula:
[tex]M=\frac{\text{total of given number}}{\text{total number}}[/tex]
[tex]=\bold{ \frac{{15+ 15+ 31+ 33+ 39+ 41+ 54 }}{7}}\\\\= \bold{\frac{228}{7}}\\\\= \bold{32.57}\\\\[/tex]
Median formula:
n=7 that is an odd number then
[tex]=\bold{(\frac{n+1}{2})^{th}} \ term\\\\=\bold{(\frac{7+1}{2})^{th}} \ term\\\\=\bold{(\frac{8}{2})^{th}} \ term\\\\=\bold{(4)^{th}} \ term\\\\ =\bold{33}[/tex]
Mode:
As per the above-given definition its value =15
Learn more:
brainly.com/question/2018505
find the total distance the model airplane
Answers
Answer:
1833 miles is the total distance if the model airplane.
The base of a triangle measures 12 1/2" (twelve and 1/2 inches). The height of the triangle is 27". What is the area (in square inches)?
(Remember A=1/2base x height)
Answers
Answer:
168.75 in²
Step-by-step explanation:
12.5 * 27 = 337.5
337.5/2 = 168.75
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
5 [ 4 − ( − 2 ) ] + 6
Answers
Answer: 36
Step-by-step explanation:
Given expression
5 [4 - (-2)] + 6
Expand parentheses
5 [4 + 2] + 6
Simplify values in the bracket
5 [6] + 6
Simplify by multiplication
30 + 6
Simplify by addition
[tex]\boxed{36}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
-parentheses
-exponents
-multiply
-divide
-add
-subtract
( in that order ) to find your answer
you should get the answer 36
Help the question is hard
Answers
Answer:
x = - 15
Step-by-step explanation:
Givens
The trick is to let the letters = points of a clock that keeps time this way.
l = 9 oclock
C = 3 oclock
-H= -8
Formula
(x - l) / C = -H
Solution
Substitute the givens into the equation
(x - 9) / 3 = -8 Multiply both sides of the equation by 3
3*(x - 9)/3 = -8*3 Simplify
(x - 9) = - 24 Remove the brackets
x - 9 = - 24 Add 9 to both sides.
x-9+9 = -24+9 Combine
x = - 15
Given w = 2+2i, Find w+1/w
Answers
Answer:
0
Step-by-step explanation:
w+1/w=(2+2i)+1/(2+2i)
=(2+2i)+(2+2i)-1
=0
The circled ones I need help on
Please help I don’t get it
It’s asking if it’s equal to or not equal to
Answers
Answer:
Both questions seem to be equal
Step-by-step explanation:
1.12: X, Y, and Z are equal to A, B, and C since they are all variables.
1.13: 0 has the value of nothing so in a way that would mean it can equal the empty box.
I hope this helps. It is a bit confusing since I do not know the main objective.
What is the measure of the largest angle?
Answers
Answer:
90°
Step-by-step explanation:
The angles of a triangle have a sum of 180°.
x + 2x + 3x = 180
6x = 180
x = 30
Substitute the value for the largest variable.
3(30) = 90
Find the midpoint of points A(-4,0) and B(3,-10) graphically.
Answers
Answer:
(7,10)
Step-by-step explanation:
Which of the following is equal to 3,409? A. ( 3 × 10 4 ) + ( 4 × 10 3 ) + ( 9 × 10 1 ) B. ( 3 × 10 3 ) + ( 4 × 10 2 ) + ( 9 × 10 0 ) C. ( 3 × 10 2 ) + ( 4 × 10 1 ) + ( 9 × 10 0 ) D. ( 3 × 10 3 ) + ( 4 × 10 2 ) + ( 9 × 10 1 )
Answers
Answer:
A=1633
B=1617
C=1610
D=1626
Step-by-step explanation:
I am not totally sure about 3409 ?
None of the following option sum up to 3400 or close.
What is sum ?Sum is addition
According to the question given we have to determine which of the following is 3409.
A. ( 3 × 104 ) + ( 4 × 103 ) + ( 9 × 101 )
= 312 + 412 + 909.
= 724 + 909
= 1633.
B. ( 3 × 103 ) + ( 4 × 102 ) + ( 9 × 100 )
= 309 + ......
C. 300 + 400 + 900 not sum up to 3400.
D. 300 + 400 + 900 again not sum up to 3400
So, none of the following options sum up to or sum up close to 3400.
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7+6(-8x-7)=3(-6x+8)+1
Answers
Answer:
x = -2
Step-by-step explanation:
7 - 48x - 42 = - 18x + 24 + 1
-35 - 48x = -18x + 25
-48x +18x = 25 =35
-30x = 60
x = -2
Answer:
-2
Step-by-step explanation:
7+6 (-8x-7)=3 (-6x+8)+1
7-48x-42= -18x+24+1
-48+18= 24+1-7+42
-30x=60 then divide the two sides with -30
x= -2
Amy uses 48-cent stamps and 7-cent stamps to mail a gift card to a friend. If the postage is $2.07, how many of each stamp did Amy use?
Answers
9514 1404 393
Answer:
3 48-cent stamps
9 7-cent stamps
Step-by-step explanation:
The number of 48-cent stamps Amy can use is less than 207/48 ≈ 4.3, so we can find the numbers by trial and error. We want ...
48a +7b = 207 . . . . . . postage in cents, where a, b are the numbers of stamps
b = (207 -48a)/7 = 29 4/7 -a(7 -1/7) = (29 -7a) +(a+4)/7
In order for b to be an integer, we must have (a+4) a multiple of 7. The least value of 'a' that will make this true is a=3. That value gives ...
b = (29 -7·3) +(3+4)/7 = 8 +1 = 9
Amy used 3 48-cent stamps and 9 7-cent stamps.
3s(4 + 6)2 is an example of
Answers
Answer:
A. An Algebraic Expression
Step-by-step explanation:
Since we have no equal sign in the problem, we know that it is an expression. An equation has an equal sign and another value so we can simplify to find the value of whatever variable we are working with. We also know that it is not anything numerical because we are working with variables. With this information we will see that the correct answer is A.
Best of Luck!
Answer:
options A an algebraic expression
Step-by-step explanation:
please mark me brainleast
A coin is flipped two times and the number of heads is counted. Which of the following is a valid assignment
of probabilities for the number of heads observed in two flips?
8.
Number of heads
Probability
0
1/10
1
5/10
2
4/10
b.
Number of heads
0
1
2
Probability
1/4
2/4
1/4
C.
0
1
Number of heads
Probability
2
1/3
1/3
1/3
d. All answer options are correct
Answers
Answer:
5/10, 1, 2/4,
Step-by-step explanation:
Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15
Answers
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
Does anyone know how to divide a fourth degree polynomial
Answers
Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.
Step-by-step explanation:
[tex]A=4\pi r^2[/tex]
Answers
Answer:
I have attached an image for the answer
please mark as brainliest thanks!
Answer:
i dont know, sorry
Step-by-step explanation:
Find the midpoint M of the two sets of points. (Use midpt. formula)
X(-3, 4) Y(1, -1)
0 (-1,2.5)
(-2, 2.5)
0 (-1, 1.5)
(-2, 1.5)
Answers
Answer:
(-1, 1.5)
Step-by-step explanation:
If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?
Answers
Answer:
3/5 of 30 = (3/5)*30
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/5
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/5
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/53/5 of 30 = 18
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/53/5 of 30 = 18So when the tank is 3/5 full, there are 18 gallons in the tank.
Help help help please hurry
Answers
Answer:
1st is a cilinder
2nd is a sphere
3rd is a rectangle
4th is a cone
formulas for volume..maybe...
50% is 20% of what number?
Answers
Answer:
I think the answer is 30 percent
Answers will be auto-submitted when time expires.
1. Answer the question below. (1 point)
Which function is quadratic?
A
X
O
1
2
6
3
0
у
18
12
0
B
х
-3
-1
-2
1
-1
3
5
y
C
८x
-2
4
0
0
2
4
4
16
D
X
1
5
2
7
3
9
4
11
y
Ο Α
Answers
Answer:
Try taking a screen shot as this is indecipherable.
Step-by-step explanation:
i need help with this equation.
g= -2+2a
Answers
Answer: a= [tex]g+2 / 2[/tex]
Step-by-step explanation:
g= -2 + 2a
>> -2+2a=g ( side change )
>> -2+2a +2 = g+2 ( adding 2 both side)
>> 2a = g+2
>> 2a /2 = g+2 /2 ( divide by 2 both side)
>> a= g+2 /2
Simplify equation 9/-4-7i
Answers
Answer:
[tex] - \frac{36}{65} + \frac{63}{65} i[/tex]
Step-by-step explanation:
[tex] \frac{9}{ - 4 - 7i} [/tex]
➡️ [tex] \frac{9( - 4 + 7i)}{( - 4 - 7i) \times ( - 4 + 7i)} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 {i}^{2} } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 \times ( - 1) } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 + 49} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{65} [/tex]
➡️ [tex] - \frac{36}{65} + \frac{63}{65} i[/tex] ✅
I am a prime number.
Tam two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answers
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.write down what you know from the markings
Answers
Answer:
YMCA means nothing without the A
Step-by-step explanation:
A pool charges $7 for 2 daily pool passes.
Which table could represent the situation?
Answers
Answer:
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.
Option B is the table which could represent the given situation.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
According to the question
A pool charges $7 for 2 daily pool passes.
Using the linear equation y = mx + b
Substitute x = 2, y = 7
[tex]7 = 2m + b[/tex].....(1)
Substitute x = 4, y = 14
[tex]14 = 4m + b[/tex] .....(2)
Using elimination method
Subtract equation 1 from 2
[tex]14 - 7 = 4m - 2m + b - b[/tex]
[tex]7 = 2m[/tex]
[tex]m=\frac{7}{2}[/tex]
Substitute m = [tex]\frac{7}{2}[/tex] in equation 1
[tex]7=2(\frac{7}{2} )+b[/tex]
b = 7 - 7
b = 0
Substitute b = 0 in equation 1
7 = 2m
Similarly
14 = 4m
21 = 6m
28 = 8m
Hence, Option B is the table which could represent the given situation.
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