write an expression for the perimeter of the rectangle given 3x+4 and 2x-3
Answer:
2(3x+4) + 2(2x-3)
Step-by-step explanation:
this is because to be able to find the perimeter you use the formula 2(l) + 2(w)
The expression for the perimeter of the rectangle is 10x + 2.
What is the expression for the perimeter of the rectangle?Given the sides of the rectangle:
Length = 3x+4
Width = 2x-3
To determine the expression for the perimeter of the rectangle, we need to consider that the perimeter of a rectangle is given by the sum of all its sides.
The expression for the perimeter (P) is calculated as follows:
Perimeter = 2(Length + Width)
Plug these values into the perimeter formula:
P = 2(3x+4 + 2x-3)
Now, let's simplify the expression:
P = 2(5x + 1)
Finally, we can further simplify it:
P = 10x + 2
Therefore, the perimeter is 10x + 2.
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Stefan bought 2 turkey sandwiches and 5 ham sandwiches for a total cost of $40.50. Nancy bought 4 turkey sandwiches and 1 ham sandwich for a total cost of $31.50. The equations below represent Stefan's and Nancy's purchases.
Answer:
Price of each turkey sandwich = $6.5
price of each ham sandwich = $5.5
2a + 5b = 40.50.........(i)
4a + b = 31.50..............(ii)
Step-by-step explanation:
Let
price of each turkey sandwich = a
price of each ham sandwich = b
Stefan purchase
2a + 5b = 40.50.........(i)
Nancy purchase
4a + b = 31.50..............(ii)
combine the equations
2a + 5b = 40.50.........(i)
4a + b = 31.50..............(ii)
b = 31.50 - 4a
insert the value of b in equation(i)
2a + 5b = 40.50.........(i)
2a + 5(31.50 - 4a) = 40.50
2a + 157.5 - 20a = 40.50
-18a = 40.50 - 157.5
-18a = -117
divide both sides by -18
a = -117/-18
a = 6.5
insert the value of a in equation(ii)
4a + b = 31.50..............(ii)
4(6.5) + b = 31.50
26 + b = 31.50
b = 31.50 - 26
b = 5.5
Price of turkey sandwich = $6.5
price of ham sandwich = $5.5
Write the function f(x) that is equal to the derivative of the series, please check my work...
Step-by-step explanation:
Yes, that is correct. Well done!
Hey can anyone pls help me out in dis I will give up 30 points and also will mark u as brainliest!!!!!!!!!!
Answer:
1. f
2. a
3. b
4. e
5. c
6. d
1. I figured out how to order them by using the distance formula to calculate how far each point was, from the other.
2. (1, -10) and (1, -11)
3. (1, -10) and (1, 11)
Step-by-step explanation:
Using Letter A, as example:
To calculate the distance between the points, you use the formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(2-2)^2+(10-4)^2}[/tex]
[tex]d = \sqrt{0 + 36}[/tex]
d = 6
Just do the same thing (plug in the numbers into the formula), and you should be able to get the correct answers.
Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?
Answer:
Step-by-step explanation:
The formula for a perimeter of a rectangle = 2(L+B)
= 2L+2B
Where L and B are length and breadth respectively.
The question says ;
2cm = 2(L+B)
2cm = 2L+2B
Divide both sides by 2
1 = L+B
If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm
When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm
John weighs 1.5 times as much as Ellen. If John weighs 144 pounds how much does Ellen weigh?
Answer:
Ellen weighs 96 lbs
Step-by-step explanation:
Look at the attachment
Answer:
It could be wrong but i got 96lbs
Step-by-step explanation:
144 divided by 1.5
This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?
144 square inches
184 square inches
224 square inches
264 square inches
Answer: C, 224 inches squared
Step-by-step explanation:
When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.
There are four triangles with a height of 10 inches and a base of 8 inches.
There is one square with a side length of 8 inches.
Triangle area formula : A = (b * h) / 2
Square area formula: A = s^2
(10 * 8) / 2 = 40
8 ^ 2 = 64
There are four triangles with area of 40 and one square with area of 64.
40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.
The surface area of the pyramid is 224 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given net will form a square pyramid, so we will find the surface area of the square pyramid.
Therefore,
The area of the pyramid = side² + 2 × side × height
= 8² + 2 × 8 × 10
= 64 + 160
= 224
Hence the surface area of the pyramid is 224 in².
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Estimate the product. 0.55 x 2.2
Answer:
2
Step-by-step explanation:
0.55 rounded is 1,
2.2 rounded is 2.
1×2=2
have a great day
Factor the quadratic expression completely
8x^2 + 6x - 5
how do I find the 17th term of a18=-2 , d=-5
Answer:
a17=3
Step-by-step explanation:
an=a1+(n−1)d geometric sequence formula
-2=a1+(18-1)(-5)
-2=a1+17(-5)
-2=a1-85
a1=83
a17=83+(17-1)(-5)
a17=83+16(-5)
a17=83-80
a17=3
Hope this helps! Please mark brainliest :)
Take a number from 2 to 9
Double it
Again double it
Add the number you took
first to the answer
Now again double it
Divide by 10 what did you got
ans below which no. did you took and what did you get the ans
Answer:
7
Step-by-step explanation:
It worked my number was 7.
7*2=14
14*2=24
24+7=35
35*2=70
70/10=7
7!!!
Please help!
The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
Answer:
s = [tex]\sqrt{81\\[/tex] in.
Step-by-step explanation:
The last two answer don't fit into the given equation, leaving the first two. For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.
If you're at all curious about what the square root of 81 is, it's 9.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:
[tex] s = \sqrt{81} \: in[/tex]
Step-by-step explanation:
[tex]\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in[/tex]
c(1)=-20 c(n)=c(n-1)+10 find second term
Answer:
c(2) = -10
Step-by-step explanation:
c(1)=-20
c(n)=c(n-1)+10
Let n = 2 since n indicates the term number
c(2)=c(2-1)+10
= c(1) +10
= -20+10
= -10
Unit 6. 2) Please help. What is the probability that a student is absent given that today is Monday?
Enter your answer as a fraction in simplest form, formatted like this: 3/14
Answer:
Let's denote:
The probability that today is Monday: P(A)
The probability that a student is absent: P(B)
The probability that a student is absent given that day is Monday: P(B|A)
As given,
P(A intersect B) = 3/100
P(A) = 1/5
=> P(B|A) x P(A) = P(A intersect B)
=> P(B|A) = P(A intersect B)/P(A) = (3/100)/(1/5) = 15/100 = 3/20
Hope this helps!
:)
The volume of a cylinder is 40 Feet cubed. Which expression represents the volume of a cone with the same base and height as the cylinder?
Answer:
40/3 feet³
Step-by-step explanation:
Volume of cylinder = 3 × volume of cone with same base and height
40 = 3 × Volume of cone
Volume of cone = 40/3 feet³
Answer:
I think da answer is C on edge
Step-by-step explanation:
Solve for x. 2/5 (x − 17) = 26 x=
Answer:
x =82
Step-by-step explanation:
2/5 (x − 17) = 26
Multiply each side by 5/2
5/2 *2/5 (x − 17) = 26*5/2
x-17 =65
Add 17 to each side
x-17+17 = 65+17
x =82
Answer:
Step-by-step explanation:
u got to just learn how to do it
someone plz help it looks easy but I dont understand
Answer:
Step-by-step explanation:
(√8)²=8,2²+2²=8
√8→2 units,2 units
(√7)²=7,(√5)²+(√2)²=5+2=7
√7→√5 units,√2 units
(√5)²=5,2²+1²=5
√5→2 units ,1 unit
3²=9,2²+(√5)²=9
3→2 units,√5 units.
What symbols are used to indicated statements?
Answer: => means “implies” or “if and then”
p,q,r are statements
Step-by-step explanation:
Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30
Answer:
D) 2x² + 4x - 30
Step-by-step explanation:
Follow the FOIL method:
FOIL =
First
Outside
Inside
Last
...and is the order you multiply to solve:
(x + 5)(2x - 6) =
(x)(2x) = 2x²
(x)(-6) = -6x
(5)(2x) = 10x
(5)(-6) = -30
Combine like terms. Simplify:
2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30
2x² + 4x - 30 is your answer.
~
Consider circle Y with radius 3 m and central angle XYZ measuring 70°.
Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
1.8 meters
3.7 meters
15.2 meters
18.8 meters
Answer:
3.7
Step-by-step explanation:
The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters
How to calculate the length of an arcThe length of an arc is expressed as:
L = r theta
Given the following parameters
r = 3m
theta = 70 degrees = 70π/180
L = 3(70π/180)
L = 3.7 metres
Hence the lenght of an arc is 3.7meters
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a tile pattern has 6 times as many white squares as gray squares.there are 48 white tiles in the pattern.how many gray tiles are there?
There are 8 white squares in the tile pattern.
Given that, there are 48 white tiles in the pattern.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of gray squares be x.
Here, a tile pattern has 6 times as many white squares as gray squares
Then, white squares = 6x
Now, 6x=48
⇒ x=8
Therefore, there are 8 white squares in the tile pattern.
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The algebraic expression below is a polynomial.
(x-1^k)
where k is a real number.
Please select the best answer from the choices provided
T
F
Answer:
T
Step-by-step explanation:
Just did it
What is the value of 4 to the power of 3 divided by 2 to the power of 3
Answer:
8 is the answer
Step-by-step explanation:
4 to the power of 3 is basically 4x4x4 which equals 64, and 2 to the power of 3 is 2x2x2 which is 8, and 64 divided by 8 is 8
Answer:
8
Step-by-step explanation:
4³ ÷ 2³
Indices
= (2²)³ ÷ 2³
= 2 ^ 6 ÷ 2³
= 2 ^ (6-3)
=2³ = 8
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters
The image of the front of the tower is missing, so i have attached it.
Answer:
Option B - 10,000 square millimeters
Step-by-step explanation:
From the image attached, we see that the dimensions of the front of the tower are;
Length; L = 200 mm
Width; w = 50 mm
Now, this front face takes the shape of a rectangle.
Area of rectangle = Length x width
Thus, plugging in the values of length and width, we will get;
Area of front face = 200 x 50
Area of front face = 10,000 square millimeters
Answer:
12,500 mm^2
Step-by-step explanation:
50 x 200 = 10,000 mm
(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm
10,000 + 2,500 = 12,500 mm^2
Solve for x2= 9/49. Show your step-by-step.
Answer:
x = [tex]\frac{3}{7}[/tex], x = [tex]\frac{-3}{7}[/tex]
Step-by-step explanation:
The first step is to get rid of the square on the x, and to get rid of it, you square root both sides of the equation, like so:
[tex]x^{2} = \frac{9}{49}[/tex]
[tex]\sqrt{x^2} = \sqrt{\frac{9}{49} }[/tex]
A perfect square is when a number has two factors that are identical to one another. In this case, 9 and 49 are both perfect squares, meaning we can break them down:
The square root of 9 is 3. (3 · 3 = 9)
The square root of 49 is 7. (7 · 7 = 49)
x = [tex]\frac{3}{7}[/tex]
The answer is also x = [tex]\frac{-3}{7}[/tex] because a negative · a negative = a positive.
an isosceles trapezoid is a trapezoid with congruent legs. true or false?
Answer:
true
Step-by-step explanation:
If a trapezoid has congruent legs, it is an isosceles trapezoid.
Hope this helps.
It is true, that an isosceles trapezoid is a trapezoid with congruent legs.
A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.
What is geometry?It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.
Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.
Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.
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Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 2 equals 1 .
-2cos(x)
2 - 2cos(x)
1 - 2cos(x)
-2 - 2cos(x)
I think it is option C. Thank you in advance!
Answer:
1 − 2 cos x
Step-by-step explanation:
y' = 2 sin x
y = C − 2 cos x
1 = C − 2 cos(π/2)
1 = C
y = 1 − 2 cos x
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
$14,000
Step-by-step explanation:
i = prt
i= ($70,000)(.04)(5)
i = $14,000
Answer:
$14000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 70000 × 4/100 × 5
I = $14000
The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
what is the 7th term in the sequence 48,40, 32, 24,
Answer:
0
Step-by-step explanation:
Take the second term and subtract the first term
40-48 = -8
Take the third term and subtract the second term
32-40 = -8
The common difference is -8
We have the 4th term
24
The fifth term is
24-8 = 16
The sixth term is 16-8 = 8
The seventh term is 8-8 =0
Answer: 16
Step-by-step explanation:
The answer is 16 because you are going down by 8s
