Answer:
[tex] \fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}[/tex]
[tex] \star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}[/tex]
[tex] \star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}[/tex]
[tex] \boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}[/tex]
[tex] \hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}[/tex]
[tex] \text{Step \: 1 : \: Collect \: like \: term}[/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]
[tex] \hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}[/tex]
[tex] \hookrightarrow{ \sf{2(5x - 5 + 4)}}[/tex]
[tex] \text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}[/tex]
[tex] \text{Remember !\: : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}[/tex]
[tex] \hookrightarrow{ \sf{2(5x - 1)}}[/tex]
[tex] \text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}[/tex]
[tex] \hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}[/tex]
[tex] \hookrightarrow{ \sf{10x - 2}}[/tex]
[tex] \sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}[/tex]
[tex] \text{Hope \: I \: helped !}[/tex]
[tex] \text{Best \: regards ! }[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
-1/2x+3=-x+7 what does x equal
Answer:
x = 8
Step-by-step explanation:
-1/2x+3=-x+7
Add x to each side
-1/2x+x+3=-x+x+7
1/2x +3 = 7
Subtract 3 from each side
1/2x +3-3 = 7-3
1/2x = 4
Multiply each side by 2
1/2x *2 = 4*2
x = 8
How are functions used to describe patterns?
Answer: Functions show real world pattern problems in algebraic form.
Can someone please help me?
Answer:
no
Step-by-step explanation:
u r a n00b hahahahahahahahahahahahahaahahhaahahahahahahahahahahahahahahahahahahhahahau suk balz hhahahahahahahahahahahahahahaha
F(1)=2
F(n)=-3f(n-1)+[f(n-1)]^2 ?
Answer:
Step-by-step explanation:
Umm
Apply the dilation (x, y) = (3x, 3y). What will be the coordinates of T'?
Answer:
6,0
Step-by-step explanation:
the dilation moves points from A to B
in this case we're moving point T
point T has coordinates 2,0 to start with (A)
Now let's move it to B
To do so, we need to apply the calculation
(x,y) => (3x,3y)
Substitute in point T:
(2,0) => (3x,3y)
(2,0) => (3(2),3(0))
(2,0) => (6,0)
Using your equation if the number of square feet is 2400, what is the price of the house? If algebraic work is not shown, describe how you found your answer. How well does this fit with the actual data?
Answer:
Step-by-step explanation:
Need help. Not understanding
1. Five more than a number is eight.
Answer
3, the number is 3
Step-by-step explanation:
work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.
What is the slope of the line through (-7, -2) and (-6, 7)?
Step-by-step explanation:
shown the slope and equation
A student has 2/3 quart of yellow paint in a container.The student uses 1/2 quart of the yellow paint to make green paint.How many quarts of yellow paint remains in the container after the student makes green paint?
Answer:
1/6
Step-by-step explanation:
2/3 - 1/2 = 4/6 - 3/6 = 1/6
1/6 quart remains.
Answer:
There are 1/6 quarts left in the container.
Step-by-step explanation:
You need to subtract 1/2 (the paint used) by 2/3 (the paint in the container)
First, find the LCD (lowest common denominator) if you want to subtract.
3 x 2 = 6; you do the same to the numerator 2 x 2 = 4
4/6 (paint in the container)
2 x 3 = 6; you do the same to the numerator 1 x 3 = 3
3/6 (paint used)
Now, you subtract.
4/6 - 3/6 = 1/6 quarts
A point lies on AB¯¯¯¯¯ and is located 3/7 the distance from A to B. What are the coordinates of the point? (4, 3) (7, 3) (9, 3) (12, 3)
Answer:
(4,3)
Step-by-step explanation:
This doesn't even take any math really, just deductive reasoning :)
We know the line segment stretches from one to 15, meaning there are 14 points on the line as there is (1,2,3, etc.)
14/2 obviously equals 7, so just plug it in from there.
12 is too far up on the line to be less than half, so (12, 3) is wrong
^ this goes for (9, 3) as well
7 is literally the halfway marker, so there is no way it could be (7, 3)
Making the answer (4, 3) because not only is it the last one remaining but it makes the most sense, being less than one half of the segment
When the civil war began, president lincoln believed that it would only take a few weeks to defeat the rebellious states true or false
Answer:
it's true that when the civil war began, president Lincoln
which inequality is true?
1/2 is less than 1/3
3/4 is greater than 2/3
-1/4 is less than -2/3
-1 is greater than 3/4
The correct option which valid for inequality is the first one that is 3/4 is greater than 2/3.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
In the given option
3/4 is greater than 2/3 is the right one
1/2 is less than 1/3 is not true because 1/2 is more than 1/3.
-1/4 is less than -2/3 is not true because -1/4 is not less than -2/3,
-1 is greater than 3/4 is not true because -1 is not greater than 3/4s.
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Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all of his sales. Mr. Gonzalez wants to earn $60,000 this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have?
Mr. Gonzalez's monthly sales must be $87,500.
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100"
For given example,
Let 's' represents the monthly sale.
So, the annual sales are 12 × s
He makes 4% commission on all of his sales.
So, the commission on (12 × s) sales would be,
= 12 × s × (4%)
= 12× s × 0.04
Mr. Gonzalez wants to earn $60,000 this year.
So, we get an equation,
⇒ 18000 + (12 × s × 0.04) = 60000
⇒ 12 × s × 0.04 = 60000 - 18000
⇒ 12 × s × 0.04 = 42000
⇒ s × 0.04 = 42000/12
⇒ s × 0.04 = 3500
⇒ s = 3500/0.04
⇒ s = 87500
Therefore, Mr. Gonzalez's monthly sales must be $87500.
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Which expression is equivalent to (X^5 +2X^2−4)−(−5X^5−3X^2+2X−7)?
Answer:
6[tex]x^{5}[/tex] + 5x² - 2x + 3
Step-by-step explanation:
Given
([tex]x^{5}[/tex] + 2x² - 4) - (-5[tex]x^{5}[/tex] - 3x² + 2x - 7)
Remove the parenthesis on the first factor and distribute the second by - 1
= [tex]x^{5}[/tex] + 2x² - 4 + 5[tex]x^{5}[/tex] + 3x² - 2x + 7 ← collect like terms
= 6[tex]x^{5}[/tex] + 5x² - 2x + 3 ← in standard form
Marie was trying to show her friend why -3 -8 equals a positive product. This is what she wrote:
-3 x 0 = 0
-3 × (?) = 0
-3(8) +-3(-8) = 0
-24 + 24 = 0
What should Marie write in place of the question mark?
OA) 8 + 8
OB) -8 + (-8)
OC) 8 + (-8)
OD)-8 + 0
Answer:
8+8=16
-8 + (-8)= - 16
8+ (-8)=0
-8 + 0 = - 8
A tree is 4 1/2 feet tall, it is expected to grow by 1 3/4 feet per year at this rate how long will it take for the tree to have a height greater than 40 feet
Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
Please hurry! :) Its a get more math question.
The sales price is 44. 37 dollars.
Answer: $44.37
Step-by-step explanation:
63.38 x 30/100 (or x 0.3)
You save: $19.01
$63.38 - $19.01 = Final price of $44.37
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3.
Answer:
n/4 - 3 OR 1/4n - 3
Step-by-step explanation:
First, let's assign a variable to Emily's number. Let is be x.
Now all we have to do is go through the problem step by step.
"She finds 1/4 of the number..."
There are two ways you can do this. You can either multiply n by 1/4 (1/4n), or you can divide by 4 (dividing by four is the same as finding 1/4 of a number). For this example let's divide by four
n/4
"...and then subtracts 3."
All we have to do is subtract 3 from n/4
n/4 - 3
REMEMBER: like I said, there are two possible options. You can either have n/4 or 1/4n. They mean the same thing
Answer:
1/4n - 3
Step-by-step explanation:
3³ + 5 ² = 2x
work out the value of x
Answer:
X = 26
Step-by-step explanation:
3^3 + 5^2 =2x
27 + 25 = 2x
52 = 2x
Divide by 2
X = 26
Please help please help
Answer:
I think it will be 16.7 percent, but if I am wrong I am very sorry.
2xy when x = 5 and y = -3
Answer:
the answer is -30
Step-by-step explanation:
2xy=2*5*-3
= -30
The value of the expression 2xy will be -30.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 2xy and x = 5 y = -3. To calculate the value put the value of x and y in the expression.
2xy=2 x 5 x -3
2xy= - 30
Therefore, the value of the expression 2xy will be -30.
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Find the distance between each pair of points (-6,-10) , (-2,-10)
Answer:
4 units
Step-by-step explanation:
Use the distance formula, d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex], where (x1, y1) and
(x2, y2) are 2 points
Plug in the points given
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
d = [tex]\sqrt{(-6 + 2)^2 + (-10 + 10)^2}[/tex]
d = [tex]\sqrt{(-4)^2 + (0)^2}[/tex]
d = [tex]\sqrt{16 + 0}[/tex]
d = [tex]\sqrt{16}[/tex]
d = 4
So, the distance between the points is 4 units
The distance between each pair of points (-6,-10) , (-2,-10) is 4 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The points are (-6,-10) , (-2,-10)
Using distance formula:
[tex]\rm d=\sqrt{(-2-(-6))^2+(-10-(-10))^2}[/tex]
d = √16
d = 4 units
Thus, the distance between each pair of points (-6,-10) , (-2,-10) is 4 units after using the distance formula.
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Which would the phrase "the difference between a number and 5" look like as a variable expression?
The phrase “the difference between a number and 5” as a variable expression would look like: x - 5
Which expression does NOT have a Greatest Common Factor?
Answer:
4x^2-9
Step-by-step explanation:
i just took the quiz
This is about greatest Common factor (G.C.F) thus Option C and Option D does not have a greatest common factor.
What is Greatest common factor?The Greatest common factor between 2 or more numbers is simply the greatest factor that is common to all the numbers.
Option A; 2x² -18
Factors of 2 are 1, 2
Factors or 18 are; 1, 2, 3, 6, 9, 18
In this option we can see that 2 is the only common factor between all the numbers.
Thus, the GCF = 2 So this has a GCF
Option B: 3x² + 12x + 6
Factors of 3 are 1, 3
Factors of 6 are 1, 3. 6
Factors or 12 are; 1, 2, 3, 4, 6, 12
The highest common factor is 3 Thus, this has GCF.
Option C; 4x² - 9
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
Option D; 6x² + 2x² + 5x
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
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Identify the pattern for the following sequence. Find the next three terms in the sequence.
-1, 3,-9, 27,
a. Multiply by 3; 81, 243, 729
b. Multiply by -3; -81, 243, -729
C. Multiply by -3; 81, 243, 729
d. Multiply by 3; -81, -243, -729
Answer:
answer is b
Step-by-step explanation:
what is 1/5 x 6 ? help ajiwjwkwjwoksjw
Answer:
6/5 or 1.2
Step-by-step explanation:
put them both as fractions
1/5 x 6/1
6/5=1.2
I really need help on this problem.
Answer:
a.) 20
b.) 4/3
c.) 3
Step-by-step explanation:
a.) Plug in 5 for x
5(5) - 5
25 - 5
20
b.) Plug in 1/3 for x
5(1/3) - 1/3
5/3 - 1/3
4/3
c.) Set equation equal to 12 to find x input
12 = 5x - x
12 = 4x
3 = x
x = 3
A line is an undefined term because it
Please Help!!! 30 Points!
Answer:
ABC is congruent to A' B'C'
Step-by-step explanation:
All three sides are equal on triangle ABC and they are equal to the sides on A'B'C'
All three angles are equal on triangle ABC and they are equal to the angles on A'B'C'
We know that since the sides and the angles are equal
ABC is equal to A'B'C'
ABC is congruent to A' B'C'
Find the ratio of the partitioned segments such that C partitions the segment AB where A(-8, -4), B(6, 10), and C(18, 22)
Answer:
how is your day
Step-by-step explanation: