we know that
The perimeter of a rectangle is equal to
P=2(L+W)
where
L is the length
W is the width
we have that
Every dimension is doubled to for a second rectangle
so
Perimeter of the original rectangle is
P=2(5+3)=16 cm
If the dimensions is doubled then
L=10 cm
W=6 cm
so
P2=2(10+6)=32 cm
therefore
the ratio of the perimeters of the two rectangles are
P/P2
16/32
1/2
the ratio is 1/2
the marked price of a radio is 180.00 naira.what will be the cash price if a discount of 6% is allowed?
Answer:
169.20
Step-by-step explanation:
If a discount of 6% is allowed then the cashprice will be (100-6)% of the marked price
0.94 x 180=169.2
After the discount marked price of 6% the cash price of radio will be equal to 169.2.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given information in the question,
Marked price of radio = 180.00
Discount on price = 6%
Then,
180 × 6/100 = 10.8
So, the cash price of radio will be,
180 - 10.8
= 169.2.
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Question 7
Jorge earned 91, 84, 87 on his first three out of four Algebra tests. He wants to get an
average of 90 in the class. What should he make on his last test to achieve this goal?
To earn an average score of 90, the score on the fourth test needs to be 98.
What is average?The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.
Given the score of the first three tests as:
91, 84, 87.
The average is given by the following formula:
Average = Sum of scores ÷ total number of tests
Let us suppose the score of fourth test as x.
Given that A = 90:
90 = (91 + 84 + 87 + x) ÷ 4
x = 98
Hence, the score on the fourth test must be equal to 98, to get an average score of 90.
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Josiah and Kiri are each saving money.
Josiah starts with `\$100` in his savings account and adds `\$5` per week. Kiri starts with `\$40` in her savings account and adds `\$10` each week.
After `4` weeks, who has more money in their savings account?
Answer:
A.Josiah
5×4= 20+100=120
10×4=40+40=80
120 is more than 80
After 4 weeks , Josiah has 40 dollars more in his savings account.
Given :
Josiah starts with $100 in his savings account and adds 5 per week.
Let x be the number of weeks they started saving
Total money in savings account = 5 (number of weeks) + initial amount
Total money = \(5x+100\)
Kiri starts with 40 in her savings account and adds 10 each week.
Total money = 10x+40
Now we need to find out how much money each have after 4 weeks
lets replace x by 4
Josiah have \(5(4)+100=120\)
Kiri have \(10(4)+40= 80\)
120-80=40
So , Josiah have 40 dollars more in his savings account.
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For what value of ‘K’ will the following pair of linear equations are inconsistent 3x+ 4y=1 and (2k-1) x+(k-1)y=2k+1
Answer: k=(1/5)
Step-by-step explanation:
Write the quotient
6+8i
2i
The quotient when 6+8i is divided by 2i is given by -3i+4.
We know that, complex number \(i^1=-1\).
Given the divisor is = 2i and dividend is = 6+8i
Dividing the dividend by divisor we get,
(6+8i)/2i = 6/2i + 8i/2i = 3/i + 4 \(=\frac{3i}{i^2}+4\) = 3i/(-1)+4 = -3i+4
Hence the quotient is = -3i+4.
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What is the volume of a sphere with a 9m radius ?
Answer:
the volume of a sphere with a 9m radius is approximately 3053.63 cubic meters.
Step-by-step explanation:
The formula for the volume of a sphere is:
V = (4/3)πr^3
where r is the radius of the sphere and π is a constant approximately equal to 3.14.
Substituting the given radius of 9m into the formula, we get:
V = (4/3)π(9^3)
V = (4/3)π(729)
V = 3053.63 cubic meters (rounded to two decimal places)
Therefore, the volume of a sphere with a 9m radius is approximately 3053.63 cubic meters.
We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.
Answer:
An alternative definition for the acceleration ax that can be written in terms of \(v_x\) and \(\frac{dv_x}{dx}\) is \(a_x=v_x \frac{dv_x}{dx}\)
Step-by-step explanation:
We know that :
\(a_x=\frac{dv_x}{dt}\)
Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of \(v_x\) and \(\frac{dv_x}{dx}\)
So, We will use chain rule over here :
\(a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}\)
Hence an alternative definition for the acceleration ax that can be written in terms of \(v_x\) and \(\frac{dv_x}{dx}\) is \(a_x=v_x \frac{dv_x}{dx}\)
The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is \(a_x = v_x \frac{dv_x}{dx}\)
Chain rule:Here we used the chain rule:
It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).
So,
\(a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}\)
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6x = 52 − 2y 5x + 7y = 70 Question 1 What is the first step when solving the given system by the elimination method?
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equations are given below.
6x = 52 - 2y
6x + 2y = 52
3x + y = 26 ...1
5x + 7y = 70
(5/7)x + y = 10 ...2
Subtraction equation 2 from equation 1, then we have
3x - (5/7)x = 26 - 10
(16/7)x = 16
x = 7
Then the value of 'y' is given as,
3(7) + y = 26
21 + y = 26
y = 5
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
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just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
Which number does not
belong to the pattern below? Explain.
5,470, 547, 54.7, 0.547
=
A total of 643 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 fewer student tickets sold than adult tickets.
How many adult tickets were sold?
Answer:
350 tickets
Step-by-step explanation:
643-57=586
586/2=293
293+57=350
345 adult tickets were sold by solving the equation for the given situation.
Let's say x is the number of adult tickets sold.
We know that there were 57 fewer student tickets sold than adult tickets, so the number of student tickets sold is x - 57.
We also know that the total number of tickets sold is 643, so we have the following equation:
x + x - 57 = 643
Combining like terms, we get:
2x - 57 = 643
Adding 57 to both sides, we get:
2x = 690
Dividing both sides by 2, we get:
x = 345
Therefore, 345 adult tickets were sold.
Here is a summary of the steps we took to solve the problem:
We defined variables to represent the number of adult and student tickets sold.
We wrote an equation that represented the given information.
We solved the equation for the number of adult tickets sold.
We checked our answer by substituting the value we found for the number of adult tickets into the original equation.
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Find the number of ways of arranging the numbers 1,2,3,4,5,6,7, if no two even numbers can be adjacent, and no two odd numbers can be adjacent.
Answer:
24 ways
Step-by-step explanation:
1) In Combinatorics when we arrange a number and the order matter, we call it arrange the possibilities. For this exercise let's not use formulas but reasoning.
2) For this case we need a two figure number. Since we have seven numbers.
Since there is no repetition, all the possibilities are:
\(7*6=42\)
3) But there is a restriction it's forbidden adjacent even and odd numbers: These numbers we don't want them:
13 15 17
24 26
31 35 37
42 46
51 53 57
62 66
71 73 75
18 non desirable results
The total arrangements minus the not possible combinations, will match the possible results:
\(42-18=24\)
3) Just for checking, we have here the allowed combinations:
12 14 16
21 23 25 27
32 34 36
41 43 45 47
52 54 56
61 63 65 67
72 74 76
A total of 24 possible ways.
Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Answer: Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Step-by-step explanation:
Simplify 7+5c+4d-8c+d
Step-by-step explanation:
if there is no typo the expression is :
7 + 5c + 4d - 8c + d
to simplify combine all terms with the same variable and exponent of that variable.
so, this is
7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d
Answer:
-3c+5d+7
Step-by-step explanation:
Annette has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph , how long should she plan to spend walking back?
Answer:
Annette should plan to spend 2.25 hours walking back.
Step-by-step explanation:
To solve this problem, we can use the formula:
Time = Distance / Speed
Let's assume the distance of the race is D miles.
Annette spends her time running the distance of the race, which takes:
Time running = D / 9 hours
She then walks back the same distance, which we need to find the time for:
Time walking = D / 3 hours
Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:
D / 9 + D / 3 = 3
To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:
D + 3D = 27
Combining like terms:
4D = 27
Dividing both sides of the equation by 4:
D = 6.75
So, the distance of the race is 6.75 miles.
To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:
Time walking = D / 3 = 6.75 / 3 = 2.25 hours
Therefore, Annette should plan to spend 2.25 hours walking back.
NEED HELP PLEASE SINE/COSIGN LAW QUESTION RIGHT THE ANSWER OUT ON A PIECE OF PAPER AND SEND IT IF YOU HAVE TO MAKE SURE ITS CLEAR AND CORRECT. 45 points + brainliest
Answer:
sine=opposite/hypotenuse
cosine=adjacent/hypotenuse
tangent=opposite/adjacent
a: 42
b: 135 km/h
Step-by-step explanation:
For part A, you are given the adjacent and opposite side lengths so you need to use the tangent formula. On the calculator, it is tan^-1 (90/100)
For part B, I used the pythagorean theorem and did 100^2+90^2= 18100 and then took the square root of that to get 135.
QUESTION 7
If license plates in Idaho have 4 numbers followed by 2 letters, how many different plates can be made?
a. 6,760,000
O b. 676
O c. 260
O d. 17,576,000
The number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters is 6,760,000, option a is correct.
To determine the number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters, we need to consider the possibilities for each element.
For the numbers, we have 10 options (0-9) for each of the four positions, resulting in a total of \(10^4 = 10,000\) combinations.
For the letters, we have 26 options (A-Z) for each of the two positions, resulting in a total of \(26^2 = 676\) combinations.
To find the total number of different plates, we multiply the number of possibilities for each element:
\(10,000 \times 676 = 6,760,000\).
Hence, option a is correct.
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Alex would like to buy one pack of colored pencils
Answer:
good for alex
Step-by-step explanation:
Write the number in standard form as a decimal
Answer:
4.00810.1Step-by-step explanation:
I hope it will help youplease make me brainlestTHANK USix friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party
Answer:
Step-by-step explanation:
Select the graph of the solution click until the correct graph appears lxl > 5
Answer:
Brainliesg!
Step-by-step explanation:
lxl would be
X> 5
And
X<-5
Therefore you graphed it correct
Find the unknown number of 10w = 25
Answer:
w=5/2 or W=2 1/2 if decemial 2.5
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613
Answer:
\(\displaystyle y=2\sqrt{6}\)
\(\displaystyle x=2\sqrt{2}\)
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:
\(\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}\)
\(\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}\)
Solving for y:
\(y=4\sqrt{2}\cos 30^\circ\)
Since:
\(\cos 30^\circ=\frac{\sqrt{3}}{2}\)
\(\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}\)
Simplifying:
\(\displaystyle y=2\sqrt{6}\)
Now we use the sine ratio:
\(\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}\)
\(\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}\)
Solving for x:
\(x=4\sqrt{2}\sin 30^\circ\)
Since:
\(\sin 30^\circ=\frac{1}{2}:\)
\(\displaystyle x=4\sqrt{2}\frac{1}{2}\)
Simplifying:
\(\displaystyle x=2\sqrt{2}\)
The choices are not clear, but it seems like the correct answer is C.
\(\boxed{\displaystyle y=2\sqrt{6}}\)
\(\boxed{\displaystyle x=2\sqrt{2}}\)
What is the product of 2.8 x 10^6 and 7.7 x 10^5 in scientific notation
Question 3
A group of 5 people went to the movies and spent $44 on food and drink. The total amount spent, including
tickets, was $98.50.
What was the price, in dollars, of one ticket?
Answer:
One ticket cost $10.90.
Step-by-step explanation:
The total spent was $98.50--food, drinks, admission--everything.
$44.00 was for food and drinks.
We can take the 44 away from the total.
98.50 - 44.00
= 54.50
They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.
54.50 ÷ 5 = 10.90
The price of one ticket was $10.90
To make this look like algebra class...
let x = the price of one ticket
5x = the price of 5 tickets
5x + 44 = 98.50
subtract 44
5x = 54.50
divide by 5
x = 10.90
In ΔJKL, the measure of ∠L=90°, JL = 55, LK = 48, and KJ = 73. What ratio represents the cosecant of ∠J?
Answer:
73/48
Step-by-step explanation:
Please gimme the variables to define the sytem and 2 system of equations
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
Which polygon has an interior angle sum of 900°?
A polygon has 8 sides.
A polygon has 10 sides.
A polygon has 9 sides.
A polygon has 7 sides.
Answer:
A polygon that has 7 sides.
Step-by-step explanation:
S=(n-2)*180
n representing the sides
plug in each one into the formula and see which one = 900 degress.
Answer:
D
Step-by-step explanation:
becuz i said so
Question 6 of 1
For f(x)-3x+1 and g(x)=x²-6, find (f-g)(x).
A. -x²+3x+7
OB.x²-3x-7
O C. 3x²-17
OD. -x²+3x-5
-x² + 3x + 7 is value of function .
What is function in math?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.f(x) = 3x + 1
g(x) = x² - 6
Then,
According to the' question :-
(f - g)(x) = f(x) - g(x)
= 3x + 1 - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
Hence,
Option 1st : -x² + 3x + 7 is Correct.
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When calculating the cost of college, which of the following should you probably not include?
Answer:
extra and not necessary stuff
Step-by-step explanation:
stuff like extra clothes and eating out a lot ...
when you do not put in the money for extra stuff in collage can keep you on track by being reminding you you don't have money for it
The option that can not be included in the cost of college is:
The income you would have earned had you not gone to college.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
a)
The cost of tuition.
This is a part of the cost of college.
b) The cost of books required for college classes.
This is a part of the cost of college.
c) The income you would have earned had you not gone to college.
This is not a part of the cost of college.
d) The cost of rent for your off-campus apartment.
This is a part of the cost of college.
Thus,
The income you would have earned had you not gone to college is not a part of the cost of college.
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The complete question is:
When calculating the cost of college, which of the following should you probably not include?
a) The cost of tuition,
b) The cost of books required for college classes,
c) The income you would have earned had you not gone to college,
d) The cost of rent for your off-campus apartment.