Answer:-3(x - 10)
Step-by-step explanation:1. Add the numbers
9x-18-12x+48
9x+30-12x
2. Combine the terms:
9x+30-12x
9x+30-12x
3. Common factor:
-3x+30
-3(x - 10)
End. Solution:
-3(x - 10)
So yeah basically that's it! Bye!
The Two-Steppers numbered 10 more than 5 times the number of waltzers. Also there were 10 times as many Two-steppers as waltzers. How many of each were there?
Answer: I think it is 1,200
Step-by-step explanation: search it up
what is 2 ( 6x +1 ) equal to
Please someone help me out.
How many x-intercepts does the graph of
y = x³ - 1 have?
JO
K
1
L 2
M 3
N An infinite number
-1 x-intercepts in the graph.
The quantity of x-intercepts on a graph can be determined in what way?We can graph lines using the x- and y-intercepts since any line is determined by two points. When y=0, solve for x to determine the x-intercept. With x=0, solve for y to determine the y-intercept. Due to its universal applicability to all equations, this technique for determining x- and y-intercepts will be employed throughout our algebra study.Any number of -intercepts, including none and infinitely many, can exist on the graph of a function.We can graph lines using the x- and y-intercepts since any line is determined by two points. When y=0, solve for x to determine the x-intercept. With x=0, solve for y to determine the y-intercept.Explanation:
Y = X^3 - 1
Put y = 0 , x = -1.
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Please simply 24/64
2/6
3/8
1/3
6/16
What is y ^ (5/8) in radical form.
Answer: ASK ONLINE
Step-by-step explanation:
Can you answer for me please ASAP.
a) Diagram of pool and walkway.
b) Expression for perimeter of pool = 8w
c) Expression for area of pool = 3w²
d) Expression for perimeter of the walkway outside = 8w + 16
e) Expression for area of pool and walkway = 3w² + 16w + 16
f) Expression for area of walkway = 6w + 16
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Given,
Length of pool = 3 times the width
Walkaway is 2 ft wide all around
Let the length be l and width be w
l = 3w
Perimeter of the pool P = 2l + 2w
P = 2(3w) + 2w
P = 6w + 2w
P = 8w
Area of the pool A = l × w
A = 3w × w
A = 3w²
Length of the walkway outside = 3w + 4
Width of the walkway outside = w + 4
Perimeter of the walkway outside = 2(3w + 4) + 2(w + 4)
= 6w + 8 + 2w + 8
= 8w + 16
Area of the pool and walkway = (3w + 4)(w + 4)
= 3w² + 12w + 4w + 16
= 3w² + 16w + 16
Area of the walkway = Area of the pool and walkway - Area of the pool
= 3w² + 16w + 16 - 3w²
= 16w + 16
Hence,
b)8w is perimeter and
c) 3w² is area of pool.
d) 8w + 16 is the perimeter of the walkway outside,
e) 3w² + 16w + 16 is the area of pool and walkway,
f) 6w + 16 is the area of walkway.
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Which arrangement shows 26/4, 6.45, 6 2/5, and 50/8 in order from least to greatest?
A. 50/8, 6 2/5, 26/4, 6.45
B. 6 2/5, 50/8, 6.45, 26/4
C. 50/8, 6 2/5, 6.45, 26/4
D. 26/4, 50/8, 6 2/5, 6.45
20 points.
The arrangement of 26/4, 6.45, 6 2/5, and 50/8 in order from least to greatest is C. 50/8, 6 2/5, 6.45, 26/4.
How can the order be determined?The concept that will be used here is ordering of numbers using < signs.
To arrange the shows, we can convert 26/4, 6.45, 6 2/5, and 50/8 to decimal so this will help us to determine the order.
26/4=6.50
6.45=6.45
6 2/5=32/5 = 6.40
50/8 =6.25
Then 6.25<6.40 <6.45 <6.50 and this implies that the order that the arrangement follows is 50/8, 6 2/5, 6.45, 26/4
Therefore, option C is correct.
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An elevator can carry 800 pounds of weight. A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Two more football players were in total of 470 pounds come to the elevator can I get down safely?
Answer: No you cannot
Step-by-step explanation:
280 + 95 + 470 = 845
but the max amount of pounds the elevator can carry is 800.
I need help pls pls pls
Answer:
The lateral surface area of a cylinder is the area of the curved surface that goes around the cylinder. It can be calculated using the formula:
Lateral Surface Area = 2πrL
where π is pi, r is the radius, and L is the length of the cylinder.
The total surface area of a cylinder is the sum of the lateral surface area and the area of the two circular end caps. It can be calculated using the formula:
Total Surface Area = 2πrL + 2πr^2
Given that r = 20mm and L = 75mm, we can use these values to find the lateral and total surface area of the cylinder:
Lateral Surface Area = 2πrL = 2 * 3.14 * 20mm * 75mm = 4712 mm^2
Total Surface Area = 2πrL + 2πr^2 = 2 * 3.14 * 20mm * 75mm + 2 * 3.14 * 20mm^2 = 4712 mm^2 + 1256 mm^2 = 5968 mm^2
Factor the expression 4x^2 + 9
doesn't factorize unless there is an x or if the 9 is negative
NO LINKS!!
Please help me with these proofs. Part 1
Given:
C is the midpoint of AE,∠BCA ≅ ∠DCE,∠A ≅ ∠EWe have two pairs of congruent angles and the included sides are congruent. It gives us ASA congruence. AB ≅ DE as corresponding parts of congruent triangles.
Statement Reason
C is the midpoint of AE Given∠BCA ≅ ∠DCE Given∠A ≅ ∠E GivenAC ≅ EC Definition of a midpointΔABC ≅ ΔEDC ASA congruence AB ≅ DE CPCTCProvedProblem 8Given:
AH bisects ∠BHT,AH ⊥ BTWe have two right triangles with common leg and the other pair of legs are congruent as bisected segment. We get SAS congruence with two sides and included right angle.
Statement Reason
AH bisects ∠BHT GivenAH ⊥ BT Given∠BAH ≅ ∠TAH = 90° Definition of perpendicularAH ≅ AH Reflexive property (common side)BA ≅ TA Definition of segment bisectorΔBAH ≅ ΔTAH SAS congruenceProvedProblem 10Given:
AB ⊥ AC,CD ⊥ BD,AC ≅ BDΔABC and ΔCDB are right triangles with common hypotenuse and congruent pair of legs. It gives us HL congruence and it proves the corresponding angles are congruent.
Statement Reason
AB ⊥ AC GivenCD ⊥ BD GivenAC ≅ BD Given∠A & ∠D are right angles Definition of perpendicularBC ≅ BC Reflexive property (common side)ΔABC ≅ ΔDCB HL congruence∠ABC ≅ ∠BCD CPCTCProvedWhich situation can be represented by the integer 10?
Answer: The integer 10 can represent various situations such as:
The number of apples in a basket
The number of students in a class
The number of eggs in a carton
The number of minutes in 10/60 of an hour
The number of seconds in 10/60/60 of a day
The number of inches in 10/12 of a foot
and so on
It represents a quantity or a count of something.
Step-by-step explanation:
n
2016
20162016, the city of Rio de Janeiro had a population density of
5377
people
km
2
5377
km
2
people
5377, start fraction, start text, p, e, o, p, l, e, end text, divided by, start text, k, m, end text, squared, end fraction .
What was the population density of Rio de Janeiro in people per square meter?
The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²
How to find the population density ?To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.
1 kilometer squared is equal to 1, 000, 000 meters squared.
The population density of Rio de Janeiro in meters squared is therefore:
= Population density in kilometers squared / Conversion factor
= 5, 377 / 1, 000, 000
= 0. 005377
= 5. 377 x 10 ⁻³ people per m²
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The full question is:
In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.
What was the population density of Rio in people per square meter?
[tex]3x^{2} +5x+2[/tex]
The solutions to the given quadratic equation is x = -1 and x = -2/3.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The quadratic equation is given in the question, as follows:
3x² + 5x + 2 = 0
We have to determine the solution to the given equation.
As per the question, we have
3x² + 5x + 2 = 0
3x² + 3x + 2x + 2 = 0
3x(x+1) +2(x+1) = 0
(x+1)(3x+2) = 0
Factor equating to zero,
(x+1) = 0 and (3x+2) = 0
x = -1 and x = -2/3
Thus, the solutions are x = -1 and x = -2/3.
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The question seems to be incomplete the correct question would be:
Find the solution to the below quadratic equation.
3x² + 5x + 2 = 0
Represent the table graphically. Does the graph represent a proportional relationship? How do you know? 0,1,2 50,100,150
Yes, the graph represent a proportional relationship.
What is a proportional relationship?
If one variable is always equal to a constant multiplied by the other variable(quantity), then we can say that those variables are in a proportional relationship.
Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.
Direct Proportion relationship:-
This type describes the direct relationship between two quantities. In simple words, if one quantity increases, the other quantity also increases and vice-versa.
For example, if the speed of a car is increased, it covers more distance in a fixed amount of time. In notation, the direct proportion is written as y ∝ x.
Denoted by y = kx where k is the constant of proportionality.
Inverse Proportion relationship:-
This type describes the indirect relationship between two quantities. In simple words, if one quantity increases, the other quantity decreases and vice-versa.
It is represented as y ∝ 1/x. For example, increasing the speed of the car will result in covering a fixed distance in less time.
Denoted by y = k(1/x) or xy = k, where k is the constant of proportionality.
Now,
It is a direct proportional relationship because y-axis is increasing in multiples (50 multiple) of x.
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Given the following graph a. Evaluate f (1). f(1) = f b. Solve for f(x) = 1. If there is more than one solution, enter the solutions separated by semicolons (e.g. 2; 4; 6). x
For f(x) = 1 the value of x is 0, -6, and the value of the function at x= 4 or f(4) is -3.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, a function f(x) in the graph
f(x) = y
F(X) represents the function value at various values of x
From graph,
f(4) = -3
Because at x = 4, y = -3
at f(x) = 1
since f(x) = y
y = 1
satisfying at two values of x that are -6, 0
Therefore, For f(x) = 1 the value of x is 0, -6 and the value of f(4) is -3.
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Complete question:
What is the solution to √7x-4 = 2√x ?
Answer:
B
Step-by-step explanation:
take square on both sides,
7x-4 = 4x
so, x = 4/3
Corey bought 2 pounds of chicken and 4 pounds of beef. The chicken
cost $4 per pound. How much did the beef cost, per pound, if he
spent $20 all together?
Answer: The beef costs $3/lb
Step-by-step explanation: in order: 2x$4=8, 20-8=12, 12/4=3
←
Find a if XZ = 125,
XY = 3a and YZ = 2a.
Y is 275.Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation.
How can I locate expressions that are equivalent?Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence. The two phrases are equal if each of the terms in both of them is the same.
Explanation:
x 2 + xy+xz=135; y 2 + yz+ xy=351; z 2 + xz+ yz=243; (iii)
When I (ii), and (iii) are added together, we obtain x 2 + y 2 + z 2 + 2(xy+yz+xz) = 729, which converts to (x+y+z) 2 = 27 2.
x+y+z=27
........
(iv)
According to equation I x 2 + x y + x z = 135 => x(x+y+z) = 135 => x27=135 => x=5
In equation (ii), we have y 2 + y z + x y = 351, which leads to y (x+y+z) = 351.
y×27=351 \s=>
y=13
Once more, we obtain the following from equation (iii): z 2 + x z + y z = 243; z (x + y + z) = 243; z 27 = 243.
z=9 \sx \s2 \s +y \s2 \s +z \s2 \s =5
2 \s +13 \s2 \s +9 \s2 \s =275.
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Given f(x)= 4x^2 - 4 + 1 and g(x)= 2x-1, which of the following are expression(s) for f•g? Select all that apply.
The value for the expression, (f * g)(x) is calculated as: C. 8x³ - 12x² - 6x -1
How to Evaluate the Expressions of Functions?
We are given the following functions,
f(x) = 4x² – 4x + 1 and g(x) = 2x – 1.
To find the value of the expression, (f * g)(x), it means we have to multiply the functions together. See the steps explained below.
(f * g)(x) = f(x) * g(x)
Plug in the values:
(f * g)(x) = f(x) * g(x) = (4x² – 4x + 1)(2x – 1)
(f * g)(x) = 4x²(2x – 1) - 4x(2x – 1) + 1(2x – 1)
Apply the distribution property of equality:
(f * g)(x) = 8x³ – 4x² - 8x² + 4x + 2x – 1
Combine like terms:
(f * g)(x) = 8x³ - 12x² - 6x - 1
Therefore, the answer is: C. 8x³ - 12x² - 6x - 1.
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Colleen's family is moving to a new home overseas. They will send their car two thousand miles across the ocean in a shipping container. Their shipping container is twenty feet long, eight feet wide, and eight feet tall. What is the volume of the shipping container?
Answer: The volume of a rectangular container is given by the formula:
Volume = length * width * height
In this case, the length of the container is 20 feet, the width is 8 feet, and the height is 8 feet.
So the volume of the shipping container can be calculated as:
Volume = 2088 = 1,360 cubic feet
So, the volume of the shipping container is 1,360 cubic feet
Step-by-step explanation:
demand curve's slope to P=2-0.0025Q
The demand curve slope to P = 2 - 0.0025·Q is -0.0025
What is the slope of a line?The slope of a line is the ratio of the rise of the line (vertical distance), divided by the horizontal distance of the line.
The equation of the demand curve is; P = 2 - 0.0025·Q
The possible question is to graph the demand curve.
Let P represent the price of the item in dollars, and let Q represent the quantity demanded, we get the following table, with which the graph of the demand curve can be plotted
Price($) [tex]{}[/tex] Quantity Demanded
2 [tex]{}[/tex] 0
1.75 [tex]{}[/tex] 100
1.50 [tex]{}[/tex] 200
1.25 [tex]{}[/tex] 300
1.00 [tex]{}[/tex] 400
0.75 [tex]{}[/tex] 500
0.5 [tex]{}[/tex] 600
0.25 [tex]{}[/tex] 700
0 [tex]{}[/tex] 800
The above points, obtained by using the equation function of MS Excel, can be used to plot the graph of the Demand function.
The slope of the graph, using any two points, is found as follows;
Slope = (1.75 - 2)/(100 - 0) = -0.0025
The required slope of the line is -0.0025The other characteristics of the line includes;
The x-intercept, the point at which P is 0 is obtained as follows;
P = 2 - 0.0025·Q = 0
At the x-intercept; 2 = 0.0025·Q
Q = 2/0.0025 = 800
The x-intercept is the point where the quantity, Q, is 800
The y-intercept, the point where, the quantity, Q, is 0 is found as follows;
P = 2 - 0.0025·Q
Q = 0, P = 2 - 0.0025 × Q = 2
The y-interceprt is the point where the price is $2
Please find attached the required graph of the demand function created with MS Excel.
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What is the value of the expression below?
14+2+3(4)-(6-1-3)
1.10/2
2.15-12
3.30-1/
4.36-1/
THe value of the expression using BODMAS rule is 26
What is BODMAS rule ?The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.
The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.
An expression or equation in mathematics has two parts:
NumbersOperatorsA character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.
The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26
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Zach solves the system below and finds the solution (8, -7).
x + y = -15
x + y = -1
Use a graph to complete the explanation for whether Zach's solution is reasonable.
<------------> x + y = -15
< -----------> = -1
The graph shows that the of the solution , so Zach's solution reasonable.
Today only, a table is being sold for $237.80. This is 29% of its regular price. What was the price yesterday?
Answer:300
Step-by-step explanation:
The surface area of a sphere is found using the formula SA - 477², where r is the radius. If the surface area of a
sphere is 64 square feet, what is the radius, in feet?
Step-by-step explanation:
he surface area of a sphere is given as SA = 4πr^2, where r is the radius.
If the surface area is 64 square feet, then:
64 = 4πr^2
Dividing both sides by 4π:
16/π = r^2
Taking the square root of both sides:
r = √(16/π)
The radius, in feet, is approximately 2.8 feet.
Layla ate 3/8 of the pie her mother made. What part of the pie Layla not eat
ryann has 80$ to spend on gifts. She already decided to use $25 for a scarf for her grandmother. She wants to spend the reaming money to purchase gifts for her four freinds. She will spend the same amount of money for each friend's gift. What is the most she can spend on each friend?
Answer:
Okay so since she has 80 dollars, and already spent 25, then she would have 55 dollars remaining.
Now that she has 55 dollars, she will divide it up evenly between her 4 friends.
55/4 = 13.75
The most that she would be able to give them is $13.75
Step-by-step explanation:
Hope it helps! =D
A shop keeper bought 26 apples from a fruit vendor for $37.70. How much did each apple cost?
Estimate it.
Draw a Picture to show your work.
Feedback: Do not just put the answer, you have to draw a picture or ELSE you wont have $1100,00 dollars from me if i received your credit card
Answer:
About $1.45
hope this helps and I accept venmo
3 cm
3 cm
Surface Area
3 cm
=
[?] cm²
Entor
By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.
What is a 3 cm by 3 cm cube's surface area?The length of a side squared determines the area of one face. By multiplying the area of one face by six, 54 cm2 is obtained as the area of six faces.Six times the square of the cube's side length is the formula for surface area. It is represented by the number 6a2, where a represents the cube's side length. Basically, it is the whole amount of surface.Height + Breadth + Length equals a. As a result, an is the length of each cube edge. The volume of cube formula is thus a a a = a3.By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.
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