Answer:
B = 2A - C + DStep-by-step explanation:
A = ¹/₂(B + C - D)
×2 ×2
2A = B + C - D
-C+D -C+D
2A - C + D = B
The length of the rectangle below is (2x-3) and the width is (x+7). Find the area of the rectangle in terms of x.
Answer:
area = 2x² - 17x - 21
Step-by-step explanation:
Area of the rectangle is:
area = (width*length)
area = (x+7)*(2x-3)
= x*2x + x*-3 + 7*2x + 7*-3
= 2x² - 3x - 14x - 21
= 2x² - 17x - 21
The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]
Given that,
Length is 2x - 3.Width is x + 7.We need to determine the area of the rectangle
As we know that
The area of the rectangle be
[tex]= length \times breadth\\\\= (2x - 3) (x + 7)\\\\= 2x^2 +14x - 3x - 21\\\\= 2x^2 + 11x - 21[/tex]
Therefore we can conclude that The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]
Learn more about the rectangle here: brainly.com/question/16939594
12 POINTS TO THE BRAINLIEST ANSWER!!!! PLEASE HELP!! Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences. PLEASE ANSWER ALL QUESTIONS
Answer:
yes Dan and Tess have enough money because the price is 22.9075 after discount
Step-by-step explanation:
the original price of the book=24.50
the price of the book with taxes : 24.5+(24.5*10 %)=26.95 Dollars
the price for the students is : 24.50-(24.5*15%)=20.825
the price to students +tax= 20.825+(20.825*10%)= 22.9075
See what Tess did:she took 15 % from original price :24.50-(24.5*15%)=20.825
she took 10 % of discounted price :20.825.50*10%= 1.04125
adds it back to find the purchase amount:1.04125+20.825=21.86625
what Dan did:Dan takes 85% of the normal purchase price: 24.50*85%= 20.825
then compute 110% to the discounted price: 20.825*110%=22.9075
Dan is right, he will pay 22.9075 which is actually the price that the student pay for the book after the discount. what Tess is that she calculated the tax before discount, she has to calculate the tax after discount.
1. 3x²y2 + 3x y2 + 5xy
Degree:
(Fill in the blank with monomial, binomial, or trinomial)
Answer:
Answer is trinomial
Step-by-step explanation:
degree:3x^2 y2 +3xy2 + 5xy
=the degree of first term = 4
= the degree of second term=3
= the degree of third term = 3
:. the degree = 4
the answer is 4
The diagram is a straightedge and compass construction. C is the center of both circles.
Which of the following statements must be TRUE by construction? Select all that apply.
A
AB and an have the
Answer:
The correct options are;
B. AC and AD have the same length
D. Triangle BCE is isosceles
Step-by-step explanation:
From the diagram we have;
B. Segment AC and segment CD are the radii of the same circle with center C and radius AC, therefore, given that the radius of a circle is constant round a circle, we have;
The length of AC = The length of AD
D. In triangle BCE, we have the length of segment CB is equal to the length of segment CE which are both radii of the circle with center C and radius CE, therefore, the triangle BCE has two sides equal which gives triangle BCE is an isosceles, from the definition of isosceles.
Pls halp due today >_<. Thank you
Answer:
y=38.75x
Step-by-step explanation:
Divide 310 by 8 which will give 38.75 and put it into linear relationship.
Find the domain and range of each relation (use interval notation). Then determine if each relation is one-to-one.
Answer:
Domain: -2, 1
Range: -2, -4, 1
Step-by-step explanation:
A Domain is the first coordinate which is x
The Range is the second coordinate which is y
Hope This Helps :)
Given Q is between J and K, JQ is five times the length of JK and JK=42 find the length of JQ
Answer:
210
Step-by-step explanation:
JQ is 5 times the length of JK
● JQ = 5JK
JK = 42
● JQ = 5 × 42
● JQ = 210
7. Find the value of:
a) The number when 40% of the number is 10
Step 1) Set up a proportion
Proportion: percent / 100 = x / number
In context of the problem, the proportion is: 40 / 100 = 10 / number
Step 2) Cross-multiply and solve
100 x 10 = 40 x N
1000 = 40N
N = 25
Answer: The number is 25
Answer:
25Step-by-step explanation:
Let the unknown number be x
[tex]40 \% \times x = 10 \\ \frac{40x}{100} = \frac{10}{1} [/tex]
Cross Multiply
[tex]40x = 100 \times 10 \\ 40x = 1000[/tex]
Divide both sides of the equation by 40
[tex] \frac{40x}{40} = \frac{1000}{40} [/tex]
Simplify
[tex]x = 25[/tex]
Evaluate the expression when y=-3.
y2 + 6y +8
The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.
An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.
In the given question,
algebraic expression = [tex]y^2+6y+8[/tex]
the value of the algebraic expression at y = -3
[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]
Learn more about algebraic expression here
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What is the value of (3^6)^3
Answer:
3^18
Step-by-step explanation:
[tex](3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489[/tex]
Which point lies to the right of y-axis?
(a) (0, 3) (b) (-2,-1) (c) (3, 5) (d) (-3,-2)
Answer: C
Step-by-step explanation:
A scale drawing of a living room is shown below 5.5 inches and 3 inches scale 1:30 what is the area of the actual living room? Round your answer to the nearest whole number
Answer:
14850 inches
Step-by-step explanation:
The complete question is...
A scale drawing of a living room is shown below:
A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
The ratio of the scale = 1:30
This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.
We first scale up the drawing to 30 times to get the dimensions of the actual building.
The length on the drawing = 5.5 inches
The real length of the actual building = 5.5 x 30 = 165 inches
The width of the drawing = 3 inches
The width of the actual building = 3 x 30 = 90 inches
The area of the actual building = length x width
==> 165 x 90 = 14850 inches
Which point could represent 5 3 ?
Answer:
the answer is c
Step-by-step explanation:
i just finished the lesson
Answer:
c
Step-by-step explanation:
find the dimension of the missing side of a triangle given the following measurements: A=75 sq. ft, b=15 ft, h=?
Answer:
h = 10 ft
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh
Here A = 75 and b = 15, thus
[tex]\frac{1}{2}[/tex] × 15h = 75 ( multiply both sides by 2 to clear the fraction )
15h = 150 ( divide both sides by 15 )
h = 10
Rewrite the equation below using ONLY the symmetric property of equality:2x + 5 = 3x -7
Answer:
12 = x
Step-by-step explanation:
Symmetry here would involve subtracting the same quantity from both sides of the equation.
Starting with 2x + 5 = 3x -7,
subtract 2x from both sides. This yields
5 = x - 7
Adding 7 to both sides yields
12 = x
Solve for b.
y = mx + b
Answer:
b = y - mx
Step-by-step explanation:
So we are trying to solve for b in the equation y = mx + b. To do this, we will have to somehow get the b by itself on one side and all of the non-b parts of the equation on the other side.
y = mx + b
Subtract mx from both sides.
y - mx = b
b = y - mx
So we have not solved for b. We have found that b = y - mx.
I hope you find my answer and explanation helpful. Happy studying. :)
-1/2(3x-4)+3x=5/6
Please help
Answer:
x = -7/9
Step-by-step explanation:
The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.
6(-1/2(3x -4) +3x) = 6(5/6)
-9x +12 +18x = 5 . . . . . . . . . simplify
9x = -7 . . . . . . . . . . . . . . . . . subtract 12
x = -7/9 . . . . . .divide by 9
__
Another way to do this is to eliminate parentheses first.
-3/2x +2 +3x = 5/6
3/2x = -7/6 . . . . . . . . . collect terms, subtract 2
x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3
what is the value of the expression....!?
Answer:
your answer is correct
The triangle on the right is scaled copy of the triangle on the left identified the scale factor
Answer:
is there supposed to be a picture with it? i can't solve it without more information. sorry
24 A rectangle is cut along its diagonal. The measure of ZA is 55°.
What is the measure of ZB?
B
A
F
F
125°
G 105°
H 45°
35°
Answer: 35
Step-by-step explanation: add the angles which is 90 and 55. then subtract it from 180. sorry for my bad english, it’s not my first language.
What is the solution to the system of polynomials graphed below?
Answer:
D
Step-by-step explanation:
The solution to a system of equations is where the two equations intersect on a graph.
So, the solution to the system of polynomials graphed below would be where they intersect.
We can see that they intersect at (2,20)
Therefore, their solution is (2,20)
Our answer is D
A
B
What is the domain and range?
Answer:
the domain is 5 and the range is 10
Step-by-step explanation:
what describes the first factor in scientific notation
Answer:
mantissa
Step-by-step explanation:
The word "mantissa" is used to describe the portion of the number that represents the significant digits in scientific notation.
__
The term also refers to the fractional portion of a logarithm. Of course, that fractional portion also represents the significant digits of the number. The integer portion of the logarithm is the power of 10 that multiplies the significant digits.
The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constant, the formula is d=r*t , where d is the distance, r is the speed, and t is the time. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? a. 200 miles b. 10 miles c. 250 miles d. 300 miles Please select the best answer from the choices provided A B C D
Answer:
d = r * t
r = 50 mph
this will be very easy.
d = r * t
r = 50 mph
t = 5 hours
d = 250 miles
In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.t = 5 hours
d = 250 miles
In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.
Answer:
250
Step-by-step explanation:
What is the value of the expression below when x
6 and y = 10?
10x - 5y
Answer: 10
Step-by-step explanation: Because 10times X when X=6 is 60 then 5 times Y when Y=10 makes it 50 then subtract the two numbers
60-50=10
Write an expression equivalent to 6x+3y-4x+2
Answer:
10x+3y+2
Step-by-step explanation:
4. Consider the following graph.
Part A: Plot two points to form a square in the above graph. Label the points R and
S. A square is a quadrilateral with all four sides of the same length. After
plotting the points, trace the square by connecting the points.
Part B: To find the perimeter of a polygon, take the sum of the length of each side.
What is the perimeter of the square that you created in Part A Round your
answer to two decimal places.
29.12 is the perimeter.
What are the factors for 15x - 4 - 8?
What are the coordinates of B(-4, -5) under a 180 degree rotation about the origin?
Answer:
(4, 5 )
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ), thus
B(- 4, - 5 ) → (4, 5 )
Nigel has 3/4 of a chocolate candy bar that he wants to share equally among his friends Cameron, Devin, and Tyrek. How much will
Cameron receive of the candy bar?
Your answer:
Answer:
3/4 divided 4=16 or 0.1875
Step-by-step explanation:
3/4 divided by 4 is easy all you would do is multiply the bottom number by what you are trying to divide which is 4 so you do 4x4 which is 16