Answer:
A
Step-by-step explanation:
Since $2.75 discount is given on towel
$0.5 discount is given on candle
10% discount is given on set of dishes
We will have to calculate the discount for the set of dishes
10% of $35.10
10/100 ×35.10
=35.1
So the discount on the set of dishes is $35.1
When comparing the discount on the three things she bought,it was observed that she gained a lot from the discount given on the set of dishes
So the answer is A
what is the distance between ( 4, 7 ) and ( 2, 2 )
Answer:
it would be [tex]\sqrt{29}[/tex]
Step-by-step explanation:
To calculate the distance between (4, 7) and (2, 2), we use the distance formula, derived from the Pythagorean theorem: d = √[(x₂ - x₁)² + (y₂ - y₁)²]. Substituting our values into the equation gives a final answer of √29 units.
Explanation:
The subject of your question pertains to the calculation of distance between two points in a two-dimensional space, which is a concept in Mathematics. The points given are (4, 7) and (2, 2). To find the distance between these points, we can use the distance formula, derived from the Pythagorean theorem. The formula is d = √[(x₂ - x₁)² + (y₂ - y₁)²].
Here, (x₁,y₁) is (4, 7) and (x₂,y₂) is (2, 2). By substituting these values into the formula, we get
d = √[(2 - 4)² + (2 - 7)²]
= √[(-2)² + (-5)²]
= √[4 + 25]
= √29.
Therefore, the distance between (4, 7) and (2, 2) is √29 units.
Learn more about Distance Calculation here:https://brainly.com/question/34212393
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A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.
Answer:
The area of this plate is [tex]36.31\ \text{inches}^2[/tex].
Step-by-step explanation:
We have,
Circumference of a circular plate, C = 21.4 inches
The circumference of a circular shape is given by :
[tex]C=2\pi r[/tex]
r is radius of circular shape
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{21.4}{2\times 3.14}\\\\r=3.4\ \text{inches}[/tex]
Area of this plate is given by :
[tex]A=\pi r^2\\\\A=\pi (3.4)^2\\\\A=36.31\ \text{inches}^2[/tex]
So, the area of this plate is [tex]36.31\ \text{inches}^2[/tex].
Are the lines 2x+3y=2 and 2x+3y=4 parallel?
Answer:
Yes.
Step-by-step explanation:
Since the coefficients of x and y, respectively, are equal, the answer is yes. These two lines are two different parallel lines with the same slope and different y-intercepts.
Answer:
2x+3y=2--------(1)
2x+3y=4----------(2)
|d|=|C2-C1|/SQ.RT A SQ.+B SQ.
=4-2/RT.4+9
=2/RT.13 UNITS
Greg sells magazine subscriptions. He earns $.50 for every subscription he sells. He sold 200 magazine subscriptions. How much money did he earn?
Answer:
100 dollars 0.50x200=100
Step-by-step explanation:
Answer:
He made 100 dollars
Step-by-step explanation:
If he makes half a dollar for every one sold, and he sold 200, then you just do 200 times .50 and you get 100
Evaluate 6²-7²+8²-9²+..+998²-999²
Answer:
-499,485.
Step-by-step explanation:
We can transform this to an arithmetic series by working it out in pairs:
6^2 - 7^2 = (6-7)(6+7) = -13
8^2 - 9^2 = (8-9)*8+9) = -17
10^2 - 11^2 = -1 * 21 = -21 and so on
The common difference is -4.
The number of terms in this series is (998 - 6) / 2 + 1
= 992/2 + 1 = 497.
Sum of n terms of an A.S:
= n/2 [2a1 + (n - 1)d
Here a1 = -13, n = 497, d = -4:
Sum = (497/2)[-26 - 4(497-1)]
= 497/2 * -2010
= -499,485.
Find x in the right triangle.
A) 63
B) 175
C) 147
D) 324
Answer: C
Step-by-step explanation:The solution is 7
3
. This problem can be solved using the Pythagorean Theorem leg2 + leg2 = hyp2. 142 - 72=147,
147
Final answer:
The value of x squared is 147, leading to the answer choice C for the value of x in the right triangle.
Explanation:
To find the value of x in a right triangle where the hypotenuse = 14, and the length of the other side = 7, we will use the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
This can be written as c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Using the given values we have: 14² = 7² + x².
Simplifying this, we get 196 = 49 + x2, and then 196 - 49 = x², which leads to 147 = x².
Therefore, x = √147.
After calculating, we find that x = √147, which simplifies to x = 12.124 (rounded to three decimal places).
However, the answer choices seem to require the square of x, in which case the answer would be 147, which is option C.
if it takes 20 farmers 36 days to harvest their fruits, how long would it take 30 farmers to harvest the same amount of fruit ?
Answer:
24 days
Step-by-step explanation:
the information we have is:
Farmers Days
20 ⇒ 36
30 ⇒ x
the table describes that 20 farmers harvest the fruits in 36 days, and the x represents the quantity of days that will take 30 farmers to harvest the fruits.
since the amount of farmers and the amount of days are inversely proportional (if we have more farmers they will need less days, and the other way around) we use the inverse rule of three to solve this problem: multiply the quantities at the top of the table (20 and 36) and divide the result by the remaining amount (30).
we get the following:
x = 20 * 36 / 30
x = 720 / 30
x = 24
It will take 24 days for the 30 farmers to harvest the same amount of fruit