A shirt with a price of $24 was on sale for 30% off its original price. What
was the price for the shirt after the discount?

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

3/13 is the probability of following event. The card is a face card.

In statistics, what does a probability mean?

Total no.of cards = 52

Let A be the event of taking face card.

No.of face cards = 4×3 = 12

Now n(S)= 52C1 = 52, n(A) = 12C1 = 12

So P(A) = n(A)/n(S) = 12/52 = 3/13

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Answer:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Step-by-step explanation:

Given that diameter of clock = 10 units

We know that:

\(Radius =\dfrac{Diameter}{2}\)

Radius = 5 units

The length of face will be equal to radius of clock i.e.

Length of face = 5 units

For the question, we need to visualize the clock time 3 o'clock, 6 o'clock, 9 o'clock and 12 o'clock on the coordinate xy axis.

Please refer to the attached graph to have a better understanding.

In every 3 hours the face will move \(90^\circ\) i.e. one quadrant as per the location of clock faces.

At 3 o'clock the face will be on the positive x axis.

So coordinate (5, 0)

At 6 o'clock the face will be on the negative y axis.

So coordinate (0, -5)

At 9 o'clock the face will be on the negative x axis.

So coordinate (-5, 0)

At 12 o'clock the face will be on the positive y axis.

So coordinate (0, 5)

So, the answer is:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Answer:

12 o'clock (0,5)

3 o'clock  (5,0)

6 o'clock  (0,-5)

9 o'clock (-5, 0)

Step-by-step explanation:

Answer:

Simplest form of the ratio 4:2 is 2:1 which can be written as follows

D. 2 to 1

F. 2/1

G. 2:1

In regression analysis, the total sum of squares (SST) is calculated as the sum of squares for regression (SSR) and sum of squares for error (SSE).  The value of R² is 0.66.

The total sum of squares (SST) is the variation that can be accounted for in a model. R-squared (R²) is used to indicate how much variation in the response variable is explained by the regression model.

A formula for R² is provided below.\(R² = SSR/SST\)

On the other hand, if the residual sum of squares (SSR) in a regression analysis is 66 and the explained sum of squares (SSE) is equal to 34, the total sum of squares (SST) can be calculated as:

SST = SSR + SSE

= 66 + 34

= 100R² can be calculated by using the equation provided below.

R² = SSR/SST

= 66/100

= 0.66

Therefore, the value of R² is 0.66.

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The goal of building one-to-many relationships between tables is to minimize redundant data.

Data redundancy is a regular occurrence in many businesses and occurs when an identical piece of data is stored in two or more different locations. As more businesses switch from using segregated data to a central repository, they discover that their database is full of inconsistent duplicates of the same entry. Understanding how to effectively manage and track data redundancy can help your business avoid long-term inconsistency problems, even though it can be difficult to reconcile — or even benefit from — redundant data entries.

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The goal of building one-to-many relationships between tables is to minimize redundant data.

Redundant data refers to data that is duplicated across multiple tables, which can lead to data inconsistencies and

increase the amount of storage space required.

By creating one-to-many relationships between tables, data is only stored once in the database, and each instance of

the data in other tables refer back to the original source, reducing the need for redundant data storage.

Therefore, The goal of building one-to-many relationships between tables is to minimize redundant data.

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Answer:

a valley glacier

Step-by-step explanation:

These are confined by mountains on each side and can only flow down through a valley. Both types of glacier have tremendous impacts on the surrounding landscape, changing it in various ways as they pass by.

Answer:

yes it has a right angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(b) $17.94

(c) $23.85

Step-by-step explanation:

First, let us find the new price. A percent, divided by 100, can become a decimal:

6 x .15 = .9

6 + .9 = $6.90

(b) $6.90 x 2.6 = $17.94

    ^ price    ^ pounds

(c)

New price: $6.90 x 3.5 = $44.85

Old price: $6 x 3.5 = $21

New - old: $44.85 - $21 = $23.85

(if you need a, mutiply 6 by 2.6 for an answer of $15.60)

Hope this helps, have a nice day :D

b. 6 + 6 × 0.15 = 6 + 0.9 = 6.90

2.6 × 6.90 = 17.94

Explanation:

Find the new price using the formula retail price = original price + markup. Then find the total cost of buing 2.6 pounds at the new price.

c. 3.5 × 6 = 21

3.5 × 6.90 = 24.15

24.15 - 21 = 3.15

Explanation:

Find the total cost at each price and then subtract.

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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Answer: zero, hope it helps!! tell if there’s an error

Answer:

Step-by-step explanation:

(7+4)/2 = 11/2 = 5.5

(1-1)/2 = 0/2 = 0

(5.5, 0)

answer is C

Answer:

C-(5.5,0)

Step-by-step explanation:

(x1+x2/2, y1-y2/2)

7+4/2, 1-1/2

11/2, 0/2

(5.5, 0)

Really hope this helps ;)

Answer:

-1

Step-by-step explanation:

3-1=2

2-1=1

Step-by-step explanation:

hear is your both answer

Answer:

For someone to be able to answer this question you need to include the weights. Im trying to help but we cant help unless you give the amount of weight. :(

Step-by-step explanation:

Answer:51-75 Pounds

Step-by-step explanation:

Answer:

A=60

Step-by-step explanation:

Add 28+20+12

A=60

Answer:

3.

Step-by-step explanation:

12a+20a+28a=180(sum of interior angle of a triangle )

or, 60a=180

or, a= 180/60

therefore ..... a=3

Answer:

2 in first column -5 in the second

Step-by-step explanation:

Answer:

$250

Step-by-step explanation:

To find the total multiply 6.25 and 40 together

6.25x40

$250 (Don't forget the dollar sign)

Answer:

250

Step-by-step explanation:

If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250

The price after the discount but before tax, to the nearest dollar and cent is $24.

Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the refund is typically provided to boost sales or get rid of excess inventory. The price of an item as stated by the manufacturer or seller, without any price decrease, is known as the List price or Marked Price. After any discounts or price reductions from the list price, the selling price is the final price at which an item is actually sold. "Off",

Discount is equal to List Price – Selling Price.

Given that, the store was offering a 40% discount.

The discount on the price tag of $40 is:

Discount = 40 (40/100) = $16.

The new price after the discount but before tax is:

New price = 40 - 16

New price = $24.

Hence, the price after the discount but before tax, to the nearest dollar and cent is $24.

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The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance.

They are in alignment with one another when moved.

The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.

Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

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Using the given equations and the fact that A, B, C, D, E, and F are greater than zero, we can set the following inequalities:

Therefore, C is greater than 2 numbers of the list and smaller than 2 numbers on the list, then C could be 3 or 4.

Substituting the first equation in the third equation we get:

Therefore:

Since F is an integer greater or equal than 1 and smaller or equal than 6, necessarily F=6.

Now, If C=3, from the third equation we get that E=3, which is false because the 6 letters represent different numbers. Therefore C=4.

Answer: C represents 4.

The exact value of the expression [sin(sin^(-1)(2/3))] + [cos^(-1)(1/2)] is: (2 + π)/3.

To find the exact value of the expression: [sin(sin^(-1)(2/3))] + [cos^(-1)(1/2)]

Let's evaluate each part of the expression separately:

1. sin(sin^(-1)(2/3)):

The expression sin^(-1)(2/3) represents the arcsin of 2/3. This means we are finding the angle whose sine is 2/3.

Since sin(sin^(-1)(x)) = x, we have sin(sin^(-1)(2/3)) = 2/3.

2. cos^(-1)(1/2):

The expression cos^(-1)(1/2) represents the arccos of 1/2. This means we are finding the angle whose cosine is 1/2.

Using the fact that cos(cos^(-1)(x)) = x, we have cos^(-1)(1/2) = π/3.

Now, substituting these values back into the expression:

[sin(sin^(-1)(2/3))] + [cos^(-1)(1/2) = [2/3] + [π/3]

Combining the fractions = (2 + π)/3

Therefore, the exact value of the expression is (2 + π)/3.

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Answer: B 155

Step-by-step explanation:

-9u - v = -49i - 33j

To find -9u - v, you need to multiply the vector u by -9 and subtract the vector v from the result.

Given u = 5i + 4j and v = 4i - 3j, first multiply u by -9:

-9u = -9(5i + 4j) = -45i - 36j

Now, subtract the vector v from -9u:

-9u - v = (-45i - 36j) - (4i - 3j) = (-45i - 4i) + (-36j + 3j) = -49i - 33j

Answer: x-4

Step-by-step explanation: duh

Answer:

$331.70

Step-by-step explanation:

340-30=310

7% of 310= 21.70

310+21.70=331.70

Answer:

false

Step-by-step explanation:

the domain can be discrete or continuous