Answer:
$120
Step-by-step explanation:
First add the 10% back, to do so make it a decimal by moving the . over to the left twice.
Now setup the equation OP= New price/(1-discount)
91.80/(1-.10)=102
So the price before the 10% discount is $102
Now set it up again with the new numbers.
102/(1-.15)=120
So the original price before all discounts was $120
*Let p = original price
So firstly, how would we get the price when it's 15% off? You would find multiply the price by 0.15 (15% in decimal form) and then subtract the product from the original price. This can be represented as [tex](p-p\times0.15)[/tex]
Next, we would have to use the 10% off when the dress is already 15% off. The process is similar: Multiply 0.10 (10% in decimal form) with 15% off dress, then subtract the product from the 15% off price. This can be represented as [tex](p-p\times0.15)-0.10(p-p\times0.15)[/tex]
Now since the price is equal to $91.80, we would equal the prior expression to 91.80 as such: [tex](p-p\times0.15)-0.10(p-p\times0.15)=91.80[/tex] From here we can solve for p.
Firstly, solve the multiplication inside of the parentheses:
[tex](p-0.15p)-0.10(p-0.15p)=91.80[/tex]
Next, distribute -0.10 to (p - 0.15p):
[tex]p-0.15p-0.10p+0.015p=91.80[/tex]
Next, combine like terms:
[tex]0.765p=91.80[/tex]
Lastly, divide both sides by 0.765:
[tex]p=120[/tex]
Answer:The original price of the dress was $120.
please help asap 25 pts
Ford is the coach of a local baseball team that is currently losing by two runs. They are getting ready to take the field to start the bottom of the eighth inning. In the past, when losing by two runs, he has replaced the starting pitcher with a relief pitcher a total of 25 times in the eighth inning of the game. When in the same position, he has left the starting pitcher in the game 15 times.
In the situations when he has replaced the pitcher, they have lost 14 times and won 11 times. In the situations when he has left the starting pitcher in the game, they have lost 8 times and won 7 times.
Based on these numbers, if the goal is to win the game, should he replace the pitcher or not?
A.
Ford should leave the starting pitcher in the game.
B.
There is not enough information to determine if he should replace the pitcher or not.
C.
Ford should replace the pitcher.
D.
Neither option has any advantage.
Answer: A: Ford should leave the starting pitcher in the game.
I just used the other answer provided and it was wrong, at least on study island it was wrong.
A cylindrical tank is half full of oil. The cylinder has a base radius of 100cm. The height of the cylinder is 250cm. 1litre=1000cm How many litres of oil are in the tank
≈ 3927 litres
the volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the radius of base and h is the height )
V= π × 100² × 250 = 7853981.634 cm³
[tex]\frac{1}{2}[/tex] V = 3926990.817 = [tex]\frac{3926990.817}{1000}[/tex] ≈ 3927 litres
What is the mode of the following numbers?
2, 5, 11, 7, 5
The mode of this set of numbers is 5.
The mode of a set of numbers, is the most common/frequent number within the set. Since there are two 5's but only one of each other number. Thus making 5 the mode.
An animal shelter currently has 27 dogs and 23 cats. What is the ratio of cats to animals
Answer:
Ratio of Cats to animals [tex]\frac{23}{50}[/tex]
Step-by-step explanation:
Total animals in the shelter = Total number of dogs + Total number of Cats
=[tex]27+23[/tex]
=[tex]50[/tex]
Ratio of Cats to animals = Number of Cats / Total animals
=[tex]\frac{23}{50}[/tex]
During a promotional event a sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer which customer has the first to get a free t-shirt and a free water bottle
Given
During a promotional event
A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.
Find out which customer has the first to get a free t-shirt and a free water bottle.
To proof
Definition of LCM ( Least common multiple )
The LCM of two numbers is the smallest number that they both divide evenly into.
As given in the equation
A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.
Let take 8 be as one number and 10 be as another number.
LCM ( 8,10 ) = 2× 2 ×2 ×5
= 40
Also
A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.
This is shown in the table given below.
As shown in the table the common value is 40.
Therefore
The first to get a free t-shirt and a free water bottle is 40th customer.
Hence proved
Answer:
The 40th customer was the first to get a free t-shirt and free water bottle
Step-by-step explanation:
Find the value of x (3x+31)° (2x-6)°
Angle (3x+31)° and angle (2x-6)° are supplementary angles. Then the value of the variable x is 31°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Angle (3x+31)° and angle (2x-6)° are supplementary angles. Then we have
(3x + 31)° + (2x - 6)° = 180°
5x + 25° = 180°
5x = 155°
x = 31°
Then the value of the variable x is 31°.
Your question was incomplete, probably the question was...
Find the value of x. Angles (3x+31)° and (2x-6)° are supplementary angles.
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The value of x equals 31°.
The value of (x) can be found by solving the equation formed by the two angles in the given question:
Given angles:
Angle 1: [tex](3x + 31)^\circ[/tex]Angle 2: [tex](2x - 6)^\circ[/tex]Linear pair property: The sum of the measures of two angles forming a linear pair is (180°).
Now,
Set up the equation: (3x + 31) + (2x - 6) = 180
=> (3x + 2x) + (31 - 6) = 180
=> 5x + 25 = 180
Solve for (x): 5x = 155 => x = 31
Therefore, the value of (x) is 31°.
Disclaimer : I attached the image of complete question
100 points (,: giving brainliest too! please help?
2. KL = LM
3. Definition of midpoint
4. L is the midpoint of KM
5. Transitive Property of Congruence
Provide reasons for the proof.
Given: ∠1 ≅∠3 and
Prove: LT || MV
Proof:
Statement Reason
1. PV || QM Given
2. ∠1 is supplementary to ∠2 Same-Side Interior Angles Theorem
3. m∠1 + m∠2 = 180° Same-Side Interior Angle Theorem
4. ∠1 ≅ ∠3 Given
5. m∠1 = m∠3 Definition of Congruent angles => (If the angles are congruent, the measurements will be equal)
6. m∠3 + m∠2 = 180° Same side interior angle theorem (two angles on the same side make 180° if directly next to each other)
hope this helps
To prove that LT is parallel to MV, we can use the given information that angle 1 is congruent to angle 3. By showing congruence between triangles LTM and MVL, we can establish the proportionality of sides LT and MV, leading to the conclusion that LT is parallel to MV.
To prove that LT is parallel to MV, we need to use the given information that angle 1 is congruent to angle 3. Here's a step-by-step explanation:
Start by drawing a diagram representing the given information. Label the angles and the lines appropriately.Since angle 1 is congruent to angle 3, triangle LTM is congruent to triangle MVL by Angle-Angle-Angle (AAA) congruence.This means that corresponding sides of the triangles will be proportionate. The corresponding sides are LT and MV.By the Side-Side-Side (SSS) similarity theorem, we can conclude that LT is parallel to MV.Therefore, we have proved that LT is parallel to MV using the given information that angle 1 is congruent to angle 3.
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Which angle corresponds to <7?
A. <1
B. <3
C. <4
D. <6
Based on the parallel lines, an angle that corresponds to ∠7 include the following: B. ∠3.
What are corresponding angles?In Mathematics and Geometry, corresponding angles theorem is a theorem which states that corresponding angles are always congruent when the transversal intersects two parallel lines:
This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two parallel lines.
By applying corresponding angles theorem to the two parallel lines, we have the following congruent angles:
m∠3 ≅ m∠7
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Find a cubic function with the given zeros. (5 points)
-2, 5, -6
The cubic function with zeros -2, 5, and -6 is given by f(x) = (x + 2)(x - 5)(x + 6), derived from the zero-product property.
Explanation:To find a cubic function with the given zeros of -2, 5, and -6, we can use a formula associated with the zero-product property. This property states that if a product of factors equals zero, then at least one of the factors has to be equal to zero. So if -2, 5, and -6 are the zeros of the function, the factors of the function would be (x + 2), (x - 5), and (x + 6).
The cubic function f(x) is then derived from the multiplication of these factors. Therefore the cubic function with the zeros -2, 5, and -6 will be f(x) = (x + 2)(x - 5)(x + 6).
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What is the slope of the line represented by -14y = 7x ?
I believe the answer is -1/2.
40 people adopted and 30 more people adopted
Bartholomew just got a new credit card that offers both an introductory apr and a standard apr. If the standard apr. If t standard apr is 19.8% which of the following rates would most likely be the introductory apr?
A: 9.8%
B: 29.8%
C: 39.8%
D: 19.8%
Answer:
9.8
Step-by-step explanation:
Answer:
Its A. 9.8 on APEX hope this helps!!
The formula for the perimeter of a rectangle is P=2(l+w).
Solve for w.
w=2P−l
w=p−l/2
w=p/2−l
w=P/2+l
The formula for 'w' in terms of the perimeter 'P' and length 'l' of the rectangle is w = (P - 2l)/2.
To solve for 'w' in the formula for the perimeter of a rectangle, P = 2(l + w), we need to isolate 'w' on one side of the equation.
P = 2(l + w)
First, distribute the 2 to both terms inside the parentheses:
P = 2l + 2w
Now, subtract 2l from both sides to move it to the other side of the equation:
P - 2l = 2w
Finally, divide both sides by 2 to solve for 'w':
w = (P - 2l)/2
Therefore, the formula for 'w' in terms of the perimeter 'P' and length 'l' of the rectangle is:
w = (P - 2l)/2
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Kim is paid $78 for 6.5 hours of work. What is her rate of pay per hour?
Answer:
Answer:
78 dollars /6.5 hours = 12 dollars .
Your rate is 12 dollars per hour.
Step-by-step explanation:
What is the change in value of the 5 digit in these two numbers? 658 201 and 675 201
The sales tax in your city is 8.8%, and an item costs $63 before tax.How much tax would you pay on that item?Round to the nearest hundredth or cent.
Factor the expression completely over the complex numbers.
x^4 − 625
Enter your answer in the box.
You have to observe that [tex] x^4 [/tex] and 625 are both squares (of [tex] x^2 [/tex] and 25, respectively). So, you can use the "difference of square" pattern for factorization:
[tex] a^2-b^2 = (a+b)(a-b) [/tex]
to write
[tex] x^4 - 625 = (x^2+25)(x^2-25) [/tex]
Note that, again, [tex]x^2-25[/tex] is a difference of square:
[tex] x^2-25 = (x+5)(x-5) [/tex]
On the other hands, [tex] x^2+25 [/tex] admits no factorization, because it's a second-degree polynomial (thus a parabola) with no solutions.
So, the whole expression becomes
[tex] x^4 - 625 = (x^2+25)(x+5)(x-5) [/tex]
The table below represents the relationship of the amount of snowfall ( in inches) in 5 cities to the amount of time
(in hours) of a recent winter storm.
Answer:
its c
Step-by-step explanation:
How did speculative investing weaken the stability of the stock market
The mailman delivered a $22 check and three bills for $ 14 each today .What is the total in the mailbox?
HE WOULD HAVE 64$ IN TOTAL
Answer:
-64
Step-by-step explanation:
its actually, -64 not 64.
The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10 cm 16 cm 40 cm 71 cm
Given: △MOP, Perimeter of △MOP=12+4 sqr rt. 3 m∠P=90°, m∠M=60° Find: MP
Consider triangle MOP. This triangle is right triangle, because m∠P=90°.
Since m∠P=90°, m∠M=60°, then m∠O=180°-90°-60°=30°.
The leg opposite to the angle with measure 30° is half of the hypotenuse. Let the leg MP=x, then the hypotenuse MO=2x. By the Pythagorean theorem,
[tex]PO^2+MP^2=MO^2\Rightarrow PO^2=(2x)^2-x^2=4x^2-x^2=3x^2\Rightarrow PO=\sqrt{3}x.[/tex]
The perimeter of triangle MOP is
[tex]P_{MOP}=MO+PO+MP=x+2x+\sqrt{3}x=3x+\sqrt{3}x.[/tex]
Since [tex]P_{MOP}=12+4\sqrt{3},[/tex] then [tex]x=4.[/tex]
Answer: MP=4 units.
Answer:
mp=4 cuz in a 30-60-90 degree right triangle if the shorter leg is x, then the longer leg (po) is xsqrt3. Because the perimeter is 12+4sqrt3, that means the longer leg is probably 4sqrt3. because of this, then the shorter leg, mp is 4. Since the hypotenuse is equal to 2x, then it would be 2*4=8=PO.
What's the name of the line segment that passes through the center of a circle and has both endpoints on the circle?
The correct answer would be diameter. A chord is a line segment connecting two points on a circle's circumference. When the chord passes through the center of a circle it is called a diameter.
Final answer:
The line segment that passes through the center of a circle and has both endpoints on the circle is called a diameter.
Explanation:
The line segment which passes through the center of a circle and has both endpoints on the circle is called a diameter.
A diameter is the longest chord in a circle and it divides the circle into two equal halves. It passes through the center, and any point on the circumference of the circle is equidistant from the center.
For example, in the circle below, AB is a diameter:
Otylia simplifies the expression 4y + y to 4y2. Use the drop-down menus to complete the statements below to explain why Otylia's solution is correct or incorrect.
Hi, the answer is this...
Otylia's solution is: Incorrect
Because 4y+y is the same as 4y+1y
4y2 is the same as 4y x y
4y+y simplifies to 5y
Answer:
Otylia's solution is incorrect
Correct solution is 5y
Step-by-step explanation:
Otylia simplifies the expression 4y + y to 4y^2.
LEts simplify the expression 4y+y and check with Otylia's solution
4y and y are like terms
y or 1y are same
4y and 1y are like terms
To combine like terms, we add only the coefficient of y
So 4y + 1y = 5y
Otylia simplifies the expression 4y + y to 4y^2
4y^2 is not correct. So Otylia's solution is incorrect
Write as an equation.
60 is 2 more than the product of 5 and N
A. 60=2+5+N
B. 60=2N+5
C. 60=2+5N
D. 60=2+5/N
If 60 is 2 more than the product of 5 and N:
The product of 5 and N is when they are multiplied, so 5N is going to be part of the equation.
We know that 60 is 2 more than 5N, so 5N + 2 would be 60.
We can make an equation with this:
60 = 2 + 5N
Therefore, the equation would be 60 = 2 + 5N.
Hope this helps! :)
The equation that can be used to depict the information 60 is 2 more than the product of 5 and N will be 60 = 2 + 5N
From the information given, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.
To further solve the equation, we can solve for N and this will be:
60 = 2 + 5N
Collect like terms
5N = 60 - 2
5N = 58
N = 58/5
N = 11.6
Therefore, the value of N will be 11.6.
In conclusion, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.
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Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?
If Monique used a total of 6 1/2 pounds of potatoes and each batch required 3/4 of a pound of potatoes, then you have to divide the total amount of pounds by an amount of pounds needed for one batch:
[tex]6\dfrac{1}{2}:\dfrac{3}{4}=\dfrac{13}{2}\cdot \dfrac{4}{3} =\dfrac{26}{3}=8\dfrac{2}{3}.[/tex]
Answer: [tex]8\dfrac{2}{3}.[/tex]
Answer:
Step-by-step explanation:It’s B and E
Graph the following and determine in which quadrants the graphs lie: y= 1/3x
y = 1/3x
The slope is 1/3 ( the slope is the number with the variable x).
There is no other operation ( addition or subtraction) so the y- intercept is 0
The first point of the graph would be (0,0)
Calculate another point , lets use x = 3
y = 1/3(3) = 1
The second point is (3,1)
The line of the graph is an angled line which is located in quadrant 1 and 3.
See attached picture:
If f(x) = 3x and g(x) = 1/3x which expression could be used to verify that g(x) is the inverse of f(x)?
A. 3x(x/3)
B. (1/3x)(3x)
C.1/3(3x)
D. 1/3(1/3x)
If we want to verify that g ( x ) is the inverse of f ( x ) we have to show that:
( f ° g ) = ( g ° f )
f ( g ( x ) )= 3 · ( 1/3 x ) = x
g ( f ( x ) ) = 1/3 · ( 3 x ) = x
Answer:
C ) 1/3 ( 3 x )
Answer:
C. 1/3(3x)Step-by-step explanation:
To verify if two functions are inverse, we have to find the composition of such functions, that is:
[tex]f(g(x))[/tex]; which results must be the variable [tex]x[/tex] to be inverse functions.
We know that: [tex]f(x)=3x;g(x)=\frac{1}{3}x[/tex].
Replacing on the composition:
[tex]f(g(x))=3(\frac{1}{3}x)=x[/tex]
Therefore, the expression that has to be used to verify that these functions are inverse is C.