The width of the two gardens will be equal to 5 feet.
What is the area of the rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular garden has a length twice as great as it’s width. a second rectangular garden has the same width as the first garden and a length that is 4 meters greater than the length of the first garden. the second garden has an area of 70 square meters.
For the first rectangle, the dimensions will be,
L = 2w
For second rectangle width is same then the area is,
L x w = 70
( 2w +4 ) x w = 70
2w² + 4w - 70 = 0
w² + 2w -35 = 0
w² + 7w - 5w -35 = 0
w(w + 7 ) -5(w+7) = 0
w =-7 and w = 5
Hence, the width is w = 5 ft.
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Help me please! Whoever answers correctly gets brainliest and 40 points!
Which number is equivalent to the fraction 15/7?
O 2
O 2 1/7
O 7/15
O 1 8/7
What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?
Answer:
y = 1/3x - 7
Step-by-step explanation:
start with the point-slope form:
(y-y1) = m(x-x1)
substitute the values of (x,y) into the formula:
(y-(-5)) = 1/3(x-6)
y+5 = 1/3x - 2
now write in slope-intercept form:
y = 1/3x - 2 - 5
y = 1/3x - 7
8. if 9(x - y) = 30, find the following.
a) 18(x - y)
b) 6x - 6y
c) 9x-9y-9
Therefore , the solution of the given problem of equation comes out to be a.60 , b.20 and c.21.
Equation : what is it?An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.
Here,
Given : 9(x - y) = 30,
or (x-y) =30/9
To find :
a) 18(x - y) = ?
=> 2(9(x - y))
=> 2(30)
=> 60
b)6x - 6y = ?
=> 6(x-y) = 6(30/9)
=> 2*30/3
=> 20
c) 9(x-y)-9
=> 30 -9
=>21
Therefore , the solution of the given problem of equation comes out to be a.60 , b.20 and c.21.
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Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)
UV is a segment Bisector.
What is a segment Bisector?A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.
What is the bisector rule?The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.
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Mr. Fraser signs up for a math class in the
summer, and at the end of each week there is
a 5 questions multiple choice test. Each
question has four options/answers.
On week 3, out of curiosity, he decides to
randomly pick the answer for each of the five
questions (he doesn't even read the
questions-just circles one of the four
options!)
What is the probability that he will pass using
this method? Do you think he will regret this
experiment?
Therefore , the solution of the problem of probability comes out to be
Probability = 0.25 or 25% that he will pass using this random option picking method.
Define probability.Probability is the likelihood or potential for something to event. For instance, there is only one way to get a head and a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) must equal 12. Classical: (equally likely results) (equally probable outcomes) S, the sample location (the collection of all distinct outcomes that could occur), Definition of Relative Frequency and Subjective Probability.
Here,
Given : t the end of each week there is a 5 questions multiple choice test.
and
Has 4 options.
Probability that he will pass using this random option picking method.
=> Probability = Favourable events / Total no of outcomes
=> Probability = 1 /4
=> Probability = 0.25 or 25%
Therefore , the solution of the problem of probability comes out to be
Probability = 0.25 or 25% that he will pass using this random option picking method.
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100 POINTS!!! Please help.
Answer:
[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Step-by-step explanation:
Given expression:
[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]
Simplify:
[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]
[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]
[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Which of the following is most likely the next step in the series?
ООО
О А.
B.
О с.
O D.
The next step in the series is, shown in Option C.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
There are three steps are shown.
Now, In first step, only one line shown.
In second line the line is left to first line.
And, So on.
Hence, The next step in the series is, shown in Option C.
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HELP ASAP! (20 POINT CUZ I NEED DONE ASAP) In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the lowest ratio since 0.7 < 0.625
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of hits compared to total attempts is their batting average
Each player on the team wants to have the highest batting average to help their team the most.
Jana has hit the ball 7 times out of 10 attempts.
Average is 7/10=0.7
Tasha has hit the ball 10 times out of 16 attempts.
Tasha Average is 10/16=0.625
We need to find the player who has better batting average
Tasha, because she has the lowest ratio since 0.7 < 0.625
Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625
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What are the exact values of a and b ?
CORRECT ANSWER
PROVIDE EXPLANATION
Answer:
b
Step-by-step explanation:
i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
it's none of the above its 27.5
What is the sum of 15 and the product of 5 and v
Answer:
15+5=v
Step-by-step explanation:
Solve
1. Add the numbers
15+5 = v
20 = v
2. Move the variable to the left
20 = v
v = 20
3. Solution
v = 20
Use Vocabulary to Describe a Graph
What is the domain of the relation?
✓ -4
5x56
COMPLETE
What is the range of the relation?
-4 ≤ys
DONE ✔
-4
+y
4
2
-2
-4
X
For the given graph, the domain and range of the relation equals [-4, 6].
What in mathematics is a relation?A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.
In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.
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Write a piecewise-defined function for this graph please!
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the line that passes through (-3, 1) and (2, -2) is given as,
(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)
y + 2 = - (3/5)x + 6/5
y = -(3/5)x - 4/5
The equation of the line that passes through (2, -2) and (4, 3) is given as,
(y + 2) = [(3 + 2) / (4 - 2)](x - 2)
y + 2 = (5/2)x - 5
y = (5/2)x - 7
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
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hello i need help with my math question please thank.
The three ways to purchase a vehicle include: (1) On lease (2) On hire purchased and (3) On cash basis
How to purchase a vehicle?A vehicle can be purchased on the following ways:
Lease: This involves granting the user access on the property over a period of time before he could make payment
Hire purchase: In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis
Cash: In this method the buyer pays cash at prompt or on the point of purchase
Advantages include:
It places the buyer on good life without cash
He enjoys the luxurious life
Disadvantages:
He can run away with the vehicle
The seller looses in cash of accident taking the life of the buye
Additional expenses include
Cost of maintenance
Repairs
Fueling
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An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________
(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________
a) The angular speed of the saw blade in radians per minute is;
460.77 radians per minute.
b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min
How to find angular and linear speed?a) Angular speed is defined as the speed of the object in rotational motion
The formula of the angular speed is; ω = θ / t
where;
ω is the angular speed
θ is the angular rotation
t is the time taken.
We are given;
In one revolution, the angle made is 2π radian.
In 4400 revolutions = 2π * 4400 radian
= 8800π radians
We know that ,
1 hour = 60 minute.
Thus;
Angular speed = 8800π/60
= 460.77 radians per minute
b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;
s = rω
where;
s is the linear speed
r is the radius
ω is the angular speed.
radius = 8 ¼ -inch/2 = 33/8 inches
Conversion from inches to feet gives;
33/8 inches = 0.34375 ft
Thus;
s = 0.34375/460.77
s = 7.46 * 10⁻⁴ ft/min
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Before hibernation, a bear weighs 990 pounds. Its weight decreases
by 32% during hibernation. How much does the bear weigh when
it comes out of hibernation? Show your work.
Answer:316.8
Step-by-step explanation:
Answer:316.8
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of x.
What is the meaning of conditionally promoted in school
If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?
Step-by-step explanation:
I'm pretty sure it's 19200? or maybe im writing is wrong
Answer:
After 24 years population of the city will be 27000.
exponential function.
Step-by-step explanation:
in picture
Activity: Factor Theorem
Use the Remainder Theorem and Factor Theorem to determine whether the given
binomial is a factor of P(x).
P(x) = 9x³+ 6x - 40 - 2x² + 2x4; binomial: x + 5
the given problem.
The given polynomial is a factor of P(x) because P(-5)=0.
From the remainder theorem, how do you derive the factor theorem?The Remainder Theorem states that if a synthetic division of a polynomial by x = a results in a zero remainder, then x = an is a zero of the polynomial (thanks to the Remainder Theorem), and x an is also a factor of the polynomial (courtesy of the Factor Theorem).
How can you tell if P(x) is a factor of X C?The Factor Theorem states that x - c is only a factor of P(x) when P(c) = 0.
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To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?
(b) How much interest did Donna pay on the loan?
Total amount paid by Donna is $16,689.6 and interest paid is $789.6.
What exactly does a down payment mean?The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.
According to question:
Given,
Price of car= $15,900
Down Payment=$4800
number of months=12 x 4=48 month
Monthly payment=$245.70
Total amount Donna paid = Down payment+ all monthly installment
Total amount = $4800+ 48 x 247.70 =$16,689.6
Interest Paid = $16,689.6 - $15,900 = $789.6
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Pls help! Step by step:)
Answer:
x = 15
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
x = 15
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
From inspection of the given right triangle:
a = 9b = 12c = xSubstitute the given values into Pythagoras Theorem and solve for x:
[tex]\implies 9^2+12^2=x^2[/tex]
[tex]\implies 81+144=x^2[/tex]
[tex]\implies 225=x^2[/tex]
[tex]\implies \sqrt{x^2}=\sqrt{225}[/tex]
[tex]\implies x=15[/tex]
Express The Ratio 36 : 42 In it's Simplest Form ?
Answer:
6/7
Step-by-step explanation:
36/42 = 36:6/42:6 = 6/7
how to figure out how many data points are in a data set
Answer:
Step-by-step explanation:
read the data numbers
Solve this math problem.
Therefore ,the value of a given fraction is equal to 10/12, which equals 5/6, after resolving the given problem.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the excess to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or reduction of a complex fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces.
Here,
Given : 5/8 X 4/3
=> 5/8 X 4/3 = 20/24
on condensing,
10/12 = 5/6
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how long will it take me to finish 25 episodes anime with over 24 minutes each episode?
Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER
The Value for x and y as follow:
A) x=2 and y=-8
B) x = -2 and y = 5
C) x = -9/4 and y= -5/2
What is Elimination Method?The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.
Given:
A) 9x- 2y = 34...............(1)
5x+ 2y = -6..............(2)
Adding equation (1) and (2) we get
9x -2y = 34
5x + 2y = -6
_____________
14x = 28
x= 28/14
x= 2
and, 5x +2y= -6
5(2) + 2y= -6
2y = -6 -10
y = -8
B) x+ 6y = 28.....................(3)
2x -3y = -19................(4)
Multiply equation (2) by 2 we get
4x - 6y = -38.......................(5)
Adding equation (3) and (5), we get
x + 6y = 28
4x- 6y = -38
___________
5x = -10
x= -2
and, x+ 6y= 28
-2 +6y= 28
6y= 30
y=5
C) 8x -6y = -3................(6)
6x -5y = -1......................(7)
Multiply equation (6) by 5 and equation by (6), we get
40x - 30 y = -15
36 x - 30y = -6
- + +
____________
4x = -9
x= -9/4
and, 8x - 6y = -3
8(-9/4) - 6y = -3
-18 - 6y= -3
-6y = 15
y = -5/2
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Solve systems of equations by elimination -9x-2y=5 -9x-2y=11
Answer:
no solutions
Step-by-step explanation:
-9x-2y=5
- (-9x-2y=11)
-9x-(-9x) - 2y-(-2y) = 5 - 11 ==> subtract the top two equations
-9x + 9x - 2y + 2y = -6 ==> subtracting by a negative number is equivalent
to adding by a positive number
(-9x + 9x) - 2y + 2y = -6
0 - 2y + 2y = -6
0 - 0 = -6
0 [tex]\neq[/tex] -6 ==> Hence, there is no solutions.
Is a function that can be graphed
as a solid line discrete or continuous?
Linear function Is a function that can be graphed as a solid line discrete or continuous
What is a linear function?Linear functions are simply known as functions whose graph is a straight line.
They have one dependent variable and one independent variable.
These functions have either one or two variables without exponents.
Continuous graphs are used to represent functions that are continuous along their entire or whole domain.
Whereas, discrete graphs are used to represent values at specific points along the number line from different directions.
Types of the linear function;
Direct variationslope-intercept formstandard formpoint-slope formHence, it is a linear function
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In some cities you can rent a car for $18 per day and $0.20 per miles. a. Find the cost of renting the car for one day and driving 200 miles.
The cost of renting the car for one day and driving 200 miles is $54.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.
Establishing the equation for finding total cost y for x miles and d days
y = 18d + 0.2x
For 200 miles, the cost =
y = 18×1+0.20×200
y = 18+40
y = $54
Hence, the cost of renting the car for one day and driving 200 miles is $54.
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