Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.10, the towel cost $21.28, and the candle cost $9.53 before any coupons or discounts. She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the regular price. Which of the following best describes the amounts that Antonia saved? a. she saved the greatest percentage on the set of dishes b. she saved the greatest percentage on the towel c. she saved the greatest percentage on the candle d. she saved the same percentage on the towel and the set of dishes.
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
Which could be the length of BC?
11 ft
13 ft
15 ft
18 ft
Answer:D
Step-by-step explanation: Got it right on the test
A 45 foot ladder is leaning against a building. The foot of the ladder is positioned 10 feet from the base of the building. Determine the angle at which the ladder meets the ground
Solution:
Given that,
A 45 foot ladder is leaning against a building
The foot of the ladder is positioned 10 feet from the base of the building
The figure is attached below
Let,
AB = foot of the ladder from the base of the building
AB = 10 feet
AC = length of ladder
AC = 45 feet
Then by definition of cos,
[tex]cos\ \theta = \frac{AB}{AC} \\\\cos\ \theta = \frac{10}{45}\\\\\theta = cos^{-1} 0.222 \\\\\theta = 77.17[/tex]
Thus, the angle at which the ladder meets the ground is 77.17 degree
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
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
earth moves in a orbit that is 585 million miles away from the sun.Write 585 million in scientific notation form.
Answer: 5.85 x 10 to the power of 6
Step-by-step explanation:
Mikiah must choose between a pack of four 6.5-ounce containers of ice cream for $3.77 or a pack of three 8-ounce containers for $3.87. Which is the better buy? Why?
Answer:
a pack of three 8-ounce containers his is a better purchase
Step-by-step explanation:
In this case, what we must do is calculate the price per ounce and the one with the best value is the best purchase:
option 1: a pack of four 6.5-ounce containers of ice cream for $ 3.77
3.77 / (4 * 6.5) = 0.145
option 2: a pack of three 8-ounce containers for $ 3.87
3.87 / (3 * 8) = 0.161
The value of the price per ounce is less in option 1, therefore, this is a better purchase
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
What is the slope of a line that passes through the points
(-2, -7) and (-6, -2)?
Hope this will help u...
Look at the attached picture ⤴⤴
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.
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x2
Find F{G[H(2)]}
Answer:
Step-by-step explanation:
hello :
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x2
Find F{G[H(2)]}
calculate : H(2) =2² =4
G[H(2)] =G[4]= 3(4)+2 =14
F{G[H(2)]} = F{14}=2(14) =28
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].
HELP PLEASE
Identify a, b, and c in the following quadratic equation 2x2+24=−4x.
Answer:
term a is 2x²
term b is 4x
term c is 24
Step-by-step explanation:
2x² + 24 = -4x
2x² + 4x + 24 = 0
term a is 2x²
term b is 4x
term c is 24
Tell me if I am wrong.
Can I get brainliest
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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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.