The perimeter of the rectangle will be equal to 26.
What exactly is a rectangle?
A rectangle is a four-sided flat shape with straight sides, right angles, and opposite sides that are parallel and equal in length. It is a type of quadrilateral, which means a shape with four sides. The opposite sides of a rectangle have the same length, and the adjacent sides are perpendicular (form right angles). The area of a rectangle is found by multiplying its length by its width, and the perimeter is found by adding the lengths of all four sides.
Now,
As area of rectangle =Length*breadth
area of triangle= base*height/2
Given that
((2x-1)(4x-1))/((10x-7)(4x))/2=2/5
5((2x-1)(4x-1))=(10x-7)(4x)
40x²-10x-20x+5=40x²-28x
x=5/4
then perimeter of rectangle=2*(length+breadth)
=2(2x-1+4x-1)
=2(6*5/2-2)
=2*13
=26
hence,
The perimeter of the rectangle is 26.
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Evaluate the expression 10 + 3(5 - 2) using order of operations.
Answer:
31
Step-by-step explanation:
PEMDAS
5-2=7
3 times 7 is 21
21+10
31
\(\huge\textsf{Hey there!}\)
\(\large\textsf{10 + 3 (5 - 2)}\)
\(\large\textsf{5 - 2 = \bf 3}\)
\(\large\textsf{= 10 + 3(3)}\)
\(\large\textsf{3(3) = \bf 9}\)
\(\large\textsf{= 10 + 9}\)
\(\large\textsf{= \bf 19}\)
\(\boxed{\boxed{\huge\textsf{Answer: \bf 19}}}\huge\checkmark\)
\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
log\(log\sqrt{3^x= 6\)
To solve the equation √(3x) = 6, we need to isolate x. Here's the step-by-step solution:
Square both sides of the equation to eliminate the square root:
(√(3x))^2 = 6^2
3x = 36
Divide both sides of the equation by 3 to solve for x:
(3x)/3 = 36/3
x = 12
Therefore, the solution to the equation √(3x) = 6 is x = 12.
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is j + 8 = 72 a solution
(3x-2)(3x-2)(3x-2)(2x+1)
If the temperature begins at -5° C and later on moves to 15°C by how much has the temperature risen?
By 20°C
This would be my best guess
you take 15 and subtract it by -5
15-(-5)=20
When subtracting a negative it becomes a positive
27x18x3x43x128
Answer:
8,024,832
Step-by-step explanation:
To solve the expression 27 × 18 × 3 × 43 × 128, you can follow these steps:
Start by solving the first two numbers:
27 × 18 = 486Then, multiply the result by the next number:
486 × 3 = 1458Continue multiplying by the next number:
1458 × 43 = 62694Finally, multiply by the last number:
62694 × 128 = 8024832Therefore, the final result of 27x18x3x43x128 is 8024832.
Lucy wants to plant 218 flowers in her garden. If there are 32 flowers in a box, how many boxes of flowers will Lucy need to order?
Answer:
Step-by-step explanation:
She could order 7 boxes. if each box has 32 flowers, then you would multiply 6 by 32 which is 192. If you subtract 218 from 192 you get 26. meaning that if she orders 6 boxes of 32 flowers then she would only have 192 flowers and there would be 26 flowers remaining, so then it's better for her to order 7 boxes it's better to have more than what she wants instead of having less than what she wants... that way she is able to plant 218 flowers even if there are some left.
Write out the first five terms of the sequence.
an = n - 6
Answer:
-6, -5, -4, -3, -2
or
-5, -4, -3, -2, -1
depending on if N starts at 0 or 1
Step-by-step explanation:
If n starts at 0 then the first 5 terms are the following,
-6, -5, -4, -3, -2
If n starts at 1 then the first 5 terms are these,
-5, -4, -3, -2, -1
You have three sticks. Each stick has one red side and one blue side. You throw the sticks 10 times and record the results. Use the table to find the experimental probability of the event.
Answer:
4 + 4 + 2 = 10
3) 3/10 or 0.3
4) 2/10 = 1/5 or 0.2
5) 4/10 = 2/5 or 0.4
6) 2 + 4 + 0 = 6 so 6/10 = 3/5 or 0.6
i think its this. i hop i helped?
Step-by-step explanation:
Dan weighs 14 kg more than Steve. Together they weigh less than 178 kg. What can Dans weight be
Dan's weight can be any value between 82 kg and 96 kg
Let's call Steve's weight "x".
According to the problem, Dan weighs 14 kg more than Steve, so Dan's weight would be x + 14.
Together, their weight would be the sum of their weights
x + (x + 14) = 2x + 14
We know that their combined weight is less than 178 kg, so the inequality will be
2x + 14 < 178
Subtracting 14 from both sides
2x < 164
Dividing by 2
x < 82
So Steve's weight is less than 82 kg.
To find the possible range of Dan's weight, we can substitute x + 14 for Dan's weight
(x + 14) < (178 - x)
Simplifying
2x < 164
x < 82
x + 14 < 96
So Dan's weight is less than 96 kg.
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Which of the following survey methods will allow the library to make a valid conclusion about which book the young adults who use their library would prefer?
Answer: B
Explanation:
asking people from different age groups gives a greater amount of opinions from different perspectives.
Walmart is selling 100 mL tubes of toothpaste for $1.79 or 150 mL of toothpaste for $2.19. Which is the better buy?
Answer:
1.79/100mL = 0.0179
2.19/150mL = 0.0146
so, look at the end numbers
0.0179
0.0146
0.0146 is less than 0.0179
soo, $2.19 / 150mL = 0.0146 is the better buy...
can i be brianiest...
If R is inversely proportional to A, and R = 4 when A = 100, what is the value of R when A = 250 A : .625 B : 1.6 C : 10 D : 6,250
Answer: (b)
Step-by-step explanation:
Given
R is inversely proportional to A i.e
\(R\propto \dfrac{1}{A}\\\\R=\dfrac{C}{A}\quad [\text{C=Constant}]\)
when \(R=4,\ A=100\)
Insert the values to get C
\(\Rightarrow 4=\dfrac{C}{100}\\\\\Rightarrow C=400\)
When A=250
\(\Rightarrow R=\dfrac{400}{250}\\\\\Rightarrow R=1.6\)
option (b) is correct
The equation of line s is x + 8y = –8 . Parallel to line s is line t , which passes through the point (5, –1) . What is the equation of line t ?
Explanation:
If we're given an equation in the form Ax+By = C, then the equation Ax+By = D is parallel to the given line. Note the repeat of Ax+By. The only difference is that the right hand side is something else.
For x+8y = -8, anything parallel to this is x+8y = D
Plug in the given point (x,y) = (5,-1) to compute D
x+8y = D
5+8(-1) = D
5-8 = D
-3 = D
D = -3
Therefore the equation x+8y = -3 is parallel to the given line.
A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?
Answer:
you need to be more specific.
Step-by-step explanation:
i've tried everything for b??
Answer:
5/8
Step-by-step explanation:
There are 8 square in the box and 5 are filled in, so it is 5/8.
write an a expression to represent
the sum of seven and the quotient of a number x and eight
Answer:
7 + x/8
Step-by-step explanation:
sum of 7 and Q(quorient)
7 + Q
quotient of x and 8
x/8
plus 7
7 + x/8
Answer:
n/8 + 7 = x
Step-by-step explanation:
A good estimate of 702 x 43 will contain how many digits 3,4, or 5
Answer:
6
Step-by-step explanation:
702 times 43 = 30,186
30,186 = 5 digits
Hope this helps! Brainliest please? Thank you!! :)
Solve the following problems. You can use your calculator..
1. How many cubic inches of metal are
contained in the hollow rectangular bar
below?
T
5 in.
3 in.
K
-4 in.
6 in.
10 in.
2. The
man
2 ft
The volume of metal that we have in the hollow bar is 180 cubic inches.
How many cubic inches of metal are in the bar?For a prism of length L, width W, and height H, the volume is:
V = L*H*W
Here we need to take the volume of the larger prism, and subtract the volume of the hole, then the volume of metal that we have is:
Volume = 5in*6in*10in - 3in*4in*10in
Volume = 300in³ - 120in³
Volume = 180 in³
The bar has 180 cubic inches of metal.
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SOMEONE PLEASE HELP ME WITH THIS!!!!!
Answer:
(B) $204
Step-by-step explanation:
202 + 2 = 204
every year it will add 2 dollars so 202 + 2 = 204
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks, and it will cost an additional $175 for each ton of sugar transported.
let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this equation to find the total cost to transport 16 tons of sugar.
The equation is C = 6500 + 175S
The total cost to transport 16 tons of sugar is $9300
From the question, we have
C = total cost
S represent the amount of sugar (in tons) transported.
C = 6500 + 175S
total cost to transport 16 tons of sugar = 6500 + 175(16)
= 6500 + 2800
= $9300
The total cost to transport 16 tons of sugar is $9300.
Addition:
The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.
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(20 Points Guaranteed) A Circle Is Placed In A Square With A Side Length Of 14 CM, As Shown Below. Find The Area Of The Shaded Region. Use the values 3.14 For PIE, Do Not Round Your Answer. Be Sure To Include The Correct Unit In Your Answer.
Answer:
42.14 cm
Step-by-step explanation:
area of square = 14 squared = 196
Radius equal 1/2 diameter
Radius equal 14/2 =7
Area of circle = \(\pi\)×r² = 3.14×49= 153.86
Shaded area=
196- 153.86= 42.14
Mae ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,500 worth of merchandise?
well, we know she makes $310 flat regarldess of how much she sells, and then on top of that 7.5% on commission, now, if she sold 4500 bucks of merchandise, hmmm how much is 7.5% of 4500?
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.5\% of 4500}}{\left( \cfrac{7.5}{100} \right)4500}\implies 337.5~\hfill \underset{total~made~that~week}{\stackrel{310~~ + ~~337.5}{\text{\LARGE 647.5}}}\)
Answer:
662.50 dollars
Step-by-step explanation:
If she doesn’t sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.
If she does make sales, then she’ll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%
In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,
0.075x+310 = 0.075*4700+310 = 662.50
She earned 662.50 dollars for that week.
2 apples cost 2 dabloons.
How much does 1 apple cost
solution a coin is flipped three times. let e be the event that heads and tails occur at least once each and let f be the event that heads occurs at least twice. are e and f independent events?
According to given condition, E and F are independent events.
To determine if events E and F are independent, we need to check if the occurrence of one event affects the probability of the other event.
Let's first calculate the probability of event E, which is the probability of getting at least one head and one tail in three coin flips. We can use the complement rule to find the probability of the complement of E, which is the probability of getting all heads or all tails in three coin flips:
P(E) = 1 - P(all heads) - P(all tails)
P(E) = 1 - \((1/2)^{3}\) - \((1/2)^{3}\)
P(E) = 3/4
Now, let's calculate the probability of event F, which is the probability of getting at least two heads in three coin flips. We can use the binomial distribution to find the probability of getting two or three heads:
P(F) = P(2 heads) + P(3 heads)
P(F) = (3 choose 2)\((1/2)^{3}\) + \((1/2)^{3}\)
P(F) = 1/2
To check if E and F are independent, we need to calculate the joint probability of E and F and compare it to the product of the probabilities of E and F:
P(E and F) = P(at least one head and one tail, at least two heads)
P(E and F) = P(2 heads) + P(3 heads)
P(E and F) = (3 choose 2)\((1/2)^{3}\)
P(E and F) = 3/8
P(E)P(F) = (3/4)(1/2)
P(E)P(F) = 3/8
Since the joint probability of E and F is equal to the product of their individual probabilities, we can conclude that E and F are independent events. In other words, the occurrence of one event does not affect the probability of the other event.
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Pedro created the model below.
What percent is represented by the shaded region of the model?
Answer:
3% of 8%
Step-by-step explanation:
Anne bought 3 hats for a total of $19.50. Which equation could be used to find the cost of each hat?
The equation that can be used to find the Cost of each hat is:3x = 19.50
The cost of each hat is represented by the variable 'x'. Since Anne bought 3 hats, the total cost of the hats can be calculated by multiplying the cost of each hat by the number of hats. Therefore, the equation to find the cost of each hat can be written as:
3x = 19.5
In this equation, '3x' represents the total cost of 3 hats, and '19.50' represents the total amount Anne paid for the hats. By setting up this equation, we are expressing that the cost of each hat multiplied by 3 should equal the total cost.
To solve this equation for 'x', we can divide both sides by 3:
3x/3 = 19.50/3
This simplifies to:
x = 6.50
Therefore, the equation that can be used to find the cost of each hat is:
3x = 19.50
In this equation, 'x' represents the cost of each hat, and when multiplied by 3, it should equal the total cost of $19.50.
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POINTS AND BRAINLIEST! An angle measures 43.8° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
See below.
Step-by-step explanation:
Hello!
We are asked to find the measures of 2 complementary angles.
What are Complementary Angles?Complementary Angles are angles that add up to 90°, they form a right angle (90°) when combined.
Identify what's given to us.
An angle measures 43.8° less than the measure of its complementary angle.
In shorter terms, an angle is 43.8° less than the other missing angle when set equal to 90°.
Solving:
Using what was given, we should have 1 variable that is x, and another that is x - 43.8°. These variables should add together, their sum should be 90°.
\(x + x - 43.8 = 90\)
Add, then Combine Like Terms:
\(2x = 133.8\)
Divide:
\(x = 66.9\)
Since we know x, we can subtract the value of x from 90° to find the other angle.
\(90 - 66.9 = 23.1\)
The first angle is 66.9°, the second angle is 23.1°.
System A
6x-y=-5
-6x+y=5
System B
x+3y=13
-x+3y=5
O The system has no solution.
The system has a unique solution:
(x, y) = (
The system has infinitely many solutions.
The system has no solution.
The system has a unique solution:
(x, y) = (
O The system has infinitely many solutions.
Answer:
Step-by-step explanation:
6x-y=-5
-6x+y=5
Adding the 2 equations we have:
0 + 0 = 0
0 = 0
This means there are infinite solutions
- the equations are identical.
System B
x+3y=13
-x+3y=5
Adding:
6y = 18
y = 3.
x = 13 - 3(3) = 4.
The system has a unique solution
(x. y) = (4, 3).
for some function , suppose that for some <<, ∫()=1 and ∫()=10. find each of the following.
For some function f(x), suppose that for a certain interval [a, b], we have:
∫(f(x))dx from a to b = 1
And for another interval [c, d], we have:
∫(f(x))dx from c to d = 10
In mathematics, a (real) interval is a set of real numbers that includes all the real numbers between two numbers in the set. For example, the set x of numbers satisfying 0 ≤ x ≤ 1 is the range containing 0, 1, and every number in between. Other examples of ranges are the set of numbers such as 0 < x < 1, the set of all real numbers {R}, the set of negative numbers, positive real numbers, free space, and a singular (similar sets).
Real numbers play an important role together because they are the simplest numbers whose "length" (or "measure" or "size") is easy to define. The concept of measure can be extended to more complex real numbers, giving rise to the Boral measure and eventually the Lebesgue measure.
To find the values of other integrals involving this function, you would need to either use additional information about the function or be provided with the specific integral expressions and interval limits.
For some function f(x), suppose that for a certain interval [a, b], we have:
∫(f(x))dx from a to b = 1
And for another interval [c, d], we have:
∫(f(x))dx from c to d = 10
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