The expression which represents the perimeter of the rectangle is 2x + 14
Area of the rectangle = 4x + 12Area of the rectangle if x = 7 is 40 square unitsThe following expressions represent the descriptions respectively;
6x
(x - 5)
(x + 2.99)
The total cost of membership of each gym is represented by;
Gym A total cost = 80 + 25m
Gym B total cost = 40m
What is the expression to represent the perimeter of a rectangle?Length= x + 3
Width = 4
Perimeter of a rectangle= 2(length + width)
= 2{(x + 3) + 4}
= 2(x + 3 + 4)
= 2(x + 7)
Perimeter of the rectangle = 2x + 14
Area of the rectangle= length × width
= (x + 3) × 4
Area of the rectangle = 4x + 12
If x = 7
Area of the rectangle = 4x + 12
= 4(7) + 12
= 28 + 12
= 40 square units
If x is the cost of each apple, the total cost of 6 apples = 6x
Adam is x years old. John is 5 years younger.
So, John's age = (x - 5) years
Ben spent x dollars on a book and $2.99 on a pack of pencil.
Ben spent a total of x + 2.99
Gym A total cost:
80 + 25m
Gym B total cost:
40m
Where,
number of months= m
If m = 6 months
Gym A total cost:
80 + 25m
= 80 + 25(6)
= 80 + 150
= $230
Gym B total cost:
40m
= 40(6)
= $240
Therefore, the gym which is the best deal for 6 months is gym A
Read more on algebraic expression:
https://brainly.com/question/4344214
#SPJ1
Kenji is deep-sea diving with two friends. Ezra is exploring a coral reef 12 meters in front of Kenji, and Tori is floating on the surface directly above Kenji. If Tori and Ezra are 20 meters apart, how far apart are Kenji and Tori?
Answer:
Step-by-step explanation:
We know that the hypotenuse is 20m and one leg is 12m.
Pythagorean Theorem= a^2 + b^2 = c^2
12^2 + b^2 = 20^20
144 + b^2 = 400
b^2 = 256
Square root of 256 = 16
Kenji and Tori are 16 meters away from each other.
Jack bought 5 pounds5 pounds5, start text, space, p, o, u, n, d, s, end text of Halloween candy. He gave out 3 pounds3 pounds3, start text, space, p, o, u, n, d, s, end text of the candy to trick or treaters and ate 10 ounces10 ounces10, start text, space, o, u, n, c, e, s, end text of the candy.
Number of candies that will be left with Jack is 1.375 pounds if the total candies were 5 pounds.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions.
It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be called as finding the difference.
Given that,
Total candies that Jack bought = 5 pounds
Candies given to trick or treaters = 3 pounds
Candies left = 5 - 3 = 2 pounds
Amount of candies ate = 10 ounces
16 ounces = 1 pound
10 ounce = 10 / 16 pounds = 0.625 pounds
Amount of candies ate in pounds = 0.625 pounds
Candies left = 2 - 0.625 = 1.375 pounds
Hence the amount of candies left is 1.375 pounds.
Learn more about Subtraction here :
https://brainly.com/question/15723414
#SPJ9
Your question is incomplete. The complete question is given below.
Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy. How many ounces of Halloween candy does jack have?
1 Colour three parts green. Colour five parts yello a What fraction of the circle is green?
Answer:
3/8
Step-by-step explanation:
1. If there are three parts green and 5 parts yellow, you can add them to find the total parts
2. 5+3 is 8
3. Then to find the green, which is three, we can divide it
4. 3 green parts/ total which is 8
5. 3/8
In parallelogram ABCD, AB = 5x * 3 and CD = 15 * x. FInd the value of x
In a parallelogram, opposite sides are equal. Therefore, AB = CD.
5x * 3 = 15 * x
15x = 15
x = 1
Therefore, the value of x is 1.
If the height of parallelogram ABCD is 6, what is the area of the parallelogram?To find the area of parallelogram ABCD, we can use the formula A = base x height, where the base is the length of side AB and the height is the perpendicular distance between side AB and the opposite side CD. Since the height of parallelogram ABCD is given as 6, we need to find the length of side AB.
From the given information, we know that AB = 5x * 3, where x = 1. Therefore, AB = 15. Now we can calculate the area of parallelogram ABCD as:
A = base x height
A = 15 x 6
A = 90 square units
Therefore, the area of parallelogram ABCD is 90 square units.
To know more about Parallelogram visit:
https://brainly.com/question/1563728
#SPJ1
can rectangle corner perpendicular diagonal lines of the rectangle?
if so can you draw a picture
Answer:
yes
Step-by-step explanation:
Simplify (6x-15)/(4x^2-25)
If the water evaporates at the rate in a, for 12 hours, how many inches will evaporate?
On solving the provided question, we cans ay that inches will evaporate, the equation will be = 12x = 1/2y + 7.43
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
he water evaporates at the rate in a, for 12 hours.
inches will evaporate,
the equation will be = 12x = 1/2y + 7.43
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
solve for x -8= x+27/-6
Answer:
x=-7/2 (exact form)
x=-3.5 (decimal form)
x=-3 1/2 (mixed number form)
Step-by-step explanation: :)
What percent of Jemma's answers did she get incorrect?
If Jemma got 2 out of 20 questions wrong on her most recent math quiz, then the incorrect percent is 10% .
Total number of questions in the Math's quiz is = 20 ;
Number of incorrect questions done by Jemma is = 2 ;
Number of correct questions done by Jemma are = 18 ;
So , to find the percentage she got incorrect, we divide ; (number of incorrect answers) by (total number of questions) and then multiply by 100 ;
that means ⇒ (2/20) × 100 = 10% ;
Therefore, Jemma got 10% of the questions incorrect on her most recent math quiz.
Learn more about Percent here
https://brainly.com/question/11818538
#SPJ4
The given question is incomplete , the complete question is
If Jemma got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get incorrect ?
Does the set of even integers have the density property? Explain.
Answer:
No
Step-by-step explanation:
You want to know if the set of even integers has the density property.
Density propertyThe density property states that for any two elements of a set, there are additional elements of the set between them.
There are no even integers between any two consecutive even integers, so the set of even integers does not have the density property.
A dust particle weighs around 7.53 x 10-16 grams.
grams
O 7,530,000,000,000,000,000
0.0000000000000753 grams
75, 300,000,000,000,000 grams
O 0.0000000000000000753 grams
O'0.0
0.000000000000000753 grams
Answer:
It would be 3.765 pounds. You have to do 7.53 x 10 to the -10= 0.000000000753. Then do 0.000000000753 x 5 billion to get 3.765.
Step-by-step explanation:
The area of the trapezoid is 36 ft².
Find the height of the trapezoid.
4 ft
8 ft
Answer:
6ft
Step-by-step explanation:
area of trapezoid formula: 1/2h(a+b)
height=x
x/2(4+8)=36
x/2*12=36
2 and 12 will get cancelled
6x=36
x=36/6
x=6
hope it helped!!!
convert the following measurements into centimeters
A. 15m
B. 1.6km
C. 467mm
Answers:
A. 150 cmB. 160,000 cmC. 46.7 cm===========================================
Work Shown:
[tex]15 \text{ m} = (15 \text{ m})*\frac{100 \text{ cm}}{1 \text{ m}} = 1500 \text{ cm}\\\\\\1.6 \text{ km} = (1.6 \text{ km})*\frac{1000 \text{ m}}{1 \text{ km}}*\frac{100 \text{ cm}}{1 \text{ m}} = 160,000 \text{ cm}\\\\\\467 \text{ mm} = (467 \text{ mm})*\frac{1 \text{ cm}}{10 \text{ mm}} = 46.7 \text{ cm}[/tex]
Each conversion fraction is set up to cancel out any unit that isn't "centimeters".
Side notes:
1 m = 100 cm1 km = 1000 m1 cm = 10 mmClick an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any
right triangle.
a² + b² = c²
Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.
Completing the equation below by writing an expression equivalent to the length of a, the leg of a right triangle is given below
a^2 + b^2 = c^2a^2 = c^2 - b^2a = square root of (c^2 - b^2)What is Pythagoras' Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Hence, the complete equation according to this theorem is given above.
Read more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ1
nonononononononnnono
Using the F’(x) Graph shown, find the Integral from 0 to 1 F’(x)dx if f(5) = -7.8, and f(0) = 3.
Answer:
[tex]-22.8[/tex]
Step-by-step explanation:
[tex]\int^{1}_{0} f'(x) \text{ } dx=f(1)-f(0)=f(1)-3 \\ \\ \\ B=\int^{5}_{1} f'(x) \text{ } dx=12 \implies f(5)-f(1)=12 \\ \\ -7.8-f(1)=12 \implies f(1)=-19.8 \\ \\ \therefore f(1)-3=-19.8-3=-22.8[/tex]
I need to find the value of x and it's a horizontal line or whatever the cross over like a x (3x-3)°147°
Write the quadratic equation whose roots are 3 and -3 and whose leading coefficient is 1 (use the letter x to represent the variables)
The quadratic equation whose roots are 3 and -3 is x² - 9 = 0.
What is the quadratic equation whose roots are 3 and -3 and whose leading coefficient is 1?Given the roots of the quadratic equation;
x = 3 and x = -3
The two real distinct solutions for the quadratic equation are x = 3 and x = -3.
Which means x - 3 and x + 3 are the factors of the equation.
Hence;
( x - 3 )( x + 3 ) = 0
Now, expand using FOIL method
x( x + 3 ) - 3( x + 3 ) = 0
x² + 3x - 3x - 9 = 0
x² - 9 = 0
Therefore, the equation is x² - 9 = 0.
Learn more about quadratic equations here: https://brainly.com/question/3658321
#SPJ1
Which is the graph of f(x) = 100(0.772)
It is not possible to graph f(x) = 100(0.772) without additional information. A function needs at least two points to graph a line. The expression f(x) = 100(0.772) represents a constant value, not a function of x, so it cannot be graphed on its own.
Answer: knvsvvs
Step-by-step explanation:
f(x) = -x² + 5 and g(x) = -2x+2, find all values of x for which f(x) = g(x).
Answer:
The values of x for which f(x) = g(x) are:
x = -1x = 3Step-by-step explanation:
To find all the values of x for which f(x) = g(x), equate the given functions:
[tex]\implies f(x)=g(x)[/tex]
[tex]\implies -x^2+5=-2x+2[/tex]
Rearrange the equation so that it is in the quadratic form ax²+bx+c=0:
[tex]\implies -x^2+5+2x-2=0[/tex]
[tex]\implies -x^2+2x+3=0[/tex]
Divide both sides by -1:
[tex]\implies x^2-2x-3=0[/tex]
Factor the quadratic equation:
[tex]\implies x^2-3x+x-3=0[/tex]
[tex]\implies x(x-3)+1(x-3)=0[/tex]
[tex]\implies (x+1)(x-3)=0[/tex]
To solve for x, apply the zero-product property:
[tex](x+1)=0 \implies x=-1[/tex]
[tex](x-3)=0 \implies x=3[/tex]
Therefore, the values of x for which f(x) = g(x) are:
x = -1x = 3We can check the solutions by substituting each found value of x into the functions.
[tex]f(-1)=-(-1)^2+5=4[/tex]
[tex]g(-1)=-2(-1)+2=4[/tex]
[tex]f(3)=-(3)^2+5=-4[/tex]
[tex]g(3)=-2(3)+2=-4[/tex]
As f(-1) = g(-1) and f(3) = g(3), this proves that the values of x for which f(x) = g(x) are x = -1 or x = 3.
Equate Both equatios and find x
f(x)=g(x)-x²+5=-2x+2x²-5=2x-2x²-2x-3=0(x+1)(x-3)=0The points are -1,3
Question in picture! Thanks
Answer:
~ generally is substituted by negation
Hence, option D (Even numbers are not divisible by 2) would be the correct answer.
Hey! I need help with these 2 questions! Thanks.
8. The depth of the water is solved to be = 2.9 cm (one decimal place).
9 The ratio r: s =√3 : 2.
How to find the depth of the waterThe depth of water is calculated by first using Pythagoras theorem to get the level between water level 7 cm and water level when completely full which is 10 cm
= √(10² - 7²)
= √(100 - 49)
= √51
The next step is to subtract from the radius
= 10 - √51
= 2.8586 cm
= 2.9 cm
9. The length of diagonal of a cube is given by the formula
= (√3)·s
The diameter of the sphere is equal to length of diagonal of a cube.
radius of a sphere = diameter / 2
r = (√3)*s / 2
r / s = √3 / 2
hence the ratio is
r : s = √3 : 2
Learn more about diagonal of a cube at:
https://brainly.com/question/12516815
#SPJ1
complete question is attached
-2/5(15-5) is equivalent to what value?
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 5.
With dilation at center (0,0) and a scale factor of 5, the coordinates as we can see from given graph are Q(-3,4), R(-2,-1), T(3,1), W(3,5).
What exactly is dilation?
Dilation is the process of modifying the size of an item or form by reducing or expanding its dimensions according to specific scaling variables. A circle of radius 10 unit, for example, is reduced to a circle with radius 5 unit. This approach is utilised in photography, arts and crafts, and the creation of logos, among other things. There are four primary types of transformations in geometry. They are as follows:
RotationTranslationReflectionDilation or ResizingDilation Properties
Some characteristics of forms that stay constant during dilation changes are:
The figure's angles are all the same.The midpoints of the figure's sides stay the same as the midpoint of the dilated form.The figure's parallel and perpendicular lines stay the same as the dilated figure's parallel and perpendicular lines.The visuals stay unchanged.Now,
As we can see from properties that the image does not change in dilation it stays same and angles are also same.
So, we can see coordinates from the given graph
hence,
the coordinates as we can see from given graph are Q(-3,4), R(-2,-1), T(3,1), W(3,5).
To know more about dilation visit the link
https://brainly.com/question/13176891?referrer=searchResults
#SPJ1
PLEASE HELP 50POINTS!!!!!
Can you always use synthetic division for dividing polynomials?
Yes, we can use always the synthetic division for dividing polynomials since it is the easiest way in order to get the quotients of two polynomials.
Dividing Polynomials:We use the division of polynomials to find the quotients of two polynomials. Two polynomials can be divided by simply multiplying and dividing by the largest power in each term.
The two different ways to divide polynomials are 1. Long division method and 2. The synthetic division method. The synthetic division method is the quickest way to divide polynomials between these two approaches.
Advantages of performing a Synthetic Division:
Only if the divisor is a linear factor can we use the synthetic division approach. In contrast to the long division method, which uses division and subtraction, the synthetic division approach uses multiplication and addition. There are just a few calculations needed. There is no need for variables to do the calculation.This method is less prone to errors than the polynomial long division method.
Therefore,
We can say
Yes, we can use always the synthetic division for dividing polynomials since it is the easiest way in order to get the quotients of two polynomials.
Learn more about Polynomials at
https://brainly.com/question/29867326
#SPJ1
a) Hassan deposits $325 into an account that pays 4.7% annual interest compounded monthly. Write an equation to represent Hassanʼs account balance A after t years.
b) Use a system of equations to determine how many years it will take for the account reach $200. Round to the nearest year.
The equation will be written as [tex]A = 325[1.004]^{12t}[/tex]. The time taken to reach $200 will be 10 years.
What is compound interest?Compound interest is defined as the interest levied upon the interest. The formula to calculate the compound interest will be written as:-
[tex]A = P[1+\dfrac{r}{m}]^{rt}[/tex]
Given that Hassan places $325 into a savings account that offers a monthly compound interest rate of 4.7%.
The equation for the compounding on monthly basis,
[tex]A = 325[1+\dfrac{0.047}{12}]^{12t}[/tex]
[tex]A = 325[1.004]^{12t}[/tex]
The time will be calculated as:-
[tex]A = 325[1.004]^{12t}[/tex]
[tex]200 = 325[ 1.004]^{12t}[/tex]
log(0.615) = 12 x t x log(1.004)
12t = 121.77
t = 10 years
Therefore, the equation will appear as [tex]A = 325[1.004]^{12t}[/tex]. It will take 10 years for the price to reach $200.
To know more about compound interest follow
https://brainly.com/question/28158846
#SPJ9
convert 1hour 38 min 14 second to seconds
Answer:
5894 seconds
Step-by-step explanation:
Convert 1 hour 38 min 14 seconds to seconds
1 hour = 3600 seconds
1 min = 60 seconds
38 mins = 60 x 38 = 2280 seconds
Now add all numbers together
3600 + 2280 + 14 = 5894 seconds
So, 1 hour 38 minutes 14 seconds is 5894 seconds.
There were 10 games work out the mean number of goals per game
Answer:
Step-by-step explanation:
Add all the number of goals and then divide by 10.
3= g/-4 -5
tysm for helping me
For the equation 3 = (g/-4) - 5, the value of g is g = -32.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given equation is -
3 = (g/-4) - 5
The equation contains a fractional component.
Simplify the equation to get the value of g.
First collect all the like terms -
g/-4 = 3 + 5
Then use arithmetic operation of addition -
g/-4 = 8
Then move the denominator of the fraction to right hand side of the equation -
g = 8 × -4
Then use arithmetic operation of multiplication -
g = -32
Therefore, the value of g is -32.
To learn more about equation from the given link
https://brainly.com/question/28871326
#SPJ1
Identify the range of the function shown in the graph.
Range of the function shown by the graph is (-∞ , ∞)
What is range?Range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest.
The range is the set of possible output values, which are shown on the
y -axis.
Given,
Graph of a function,
Range represents the y-coordinate of the function.
By the graph,
Range of the function is -∞ < y < ∞.
In interval notation,
Range = (-∞ , ∞)
Hence, (-∞ , ∞) is the range of the function shown by the graph.
Learn more about range here:
https://brainly.com/question/28135761
#SPJ9
(x
Consider a sequence of transformations where
ALMN is translated (x, y) - (x - 3, y + 4),
reflected across the y-axis, and then reflected
across the x-axis.
Predict the effect of the second transformation.
The transformation of the triangle is the orientation changes and moves the triangle into Quadrant III
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the transformation of the triangle be represented as A
Now , the initial coordinates are ( x , y )
And , on transformation , we get ( x , y ) - ( x - 3 , y + 4 )
Now , the triangle is reflected across the y-axis
So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
And , its orientation has changed and it is now in Quadrant III.
Hence , the triangle is now in Quadrant III
To learn more about reflection click :
https://brainly.com/question/4681298
#SPJ1