Sydney's Games is selling all games at a 25% discount. However, you also have a membership card at the
store, which gives you an additional 15% off. What will you end up paying for $100 worth of games?
Show your work!

Answer:

Refer to the step-by-step

Step-by-step explanation:

∠1 and ∠2 lie in the alternate interior of the parallel lines and are on opposite sides of the transversal. So, ∠1 and ∠2 are equal angles.

Answer:

--------------------------

We know that corresponding sides of similar figures are proportional.

Thus we have equal ratios:

Solve it for x:

The solutions of each expression for n are given as follows:

1. n = 1.5972.

2. n = 11.4688.

3. n = 6.5025.

4. n = 1.81.

5. n = 28.9835.

All the five expressions in this problem are multiplication operations involving two decimal numbers.

Hence, to obtain the solution for n of each expression, we must simply apply the multiplication operation of the two decimals, using a calculator.

The result of each expression is given at the beginning of the answer.

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Answer:

see explanation

Step-by-step explanation:

A translation of [tex]T_{(5,2)}[/tex] means

add 5 to the original x- coordinate and add 2 to the original y- coordinate.

A (1, - 2 ) → A' (1 + 5, - 2 + 2 ) → A' (6, 0 )

B (- 3, - 3 ) → B' (- 3 + 5, - 3 + 2 ) → B' (2, - 1 )

C (3, 5 ) → C' (3 + 5, 5 + 2 ) → C' (8, 7 )

a) The value of x from the proportion is x = 2/5

b) The value of x from the proportion is x = 8

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

a)

3 / ( x + 2 ) = ( 5 / 4 )   be equation (1)

On simplifying the equation , we get

Multiply by ( x + 4 ) on both sides of the equation , we get

( 5/4 ) ( x + 2 ) = 3

Multiply by 4 on both sides of the equation , we get

5 ( x + 2 ) = 12

On further simplification , we get

5x + 10 = 12

Subtracting 10 on both sides of the equation , we get

5x = 2

Divide by 5 on both sides of the equation , we get

x = 2/5

Therefore , the value of x is 2/5

b)

( x + 2 ) / 5 = ( x - 2 ) / 3   be equation (2)

On simplifying the equation , we get

Multiply by 5 on both sides of the equation , we get

( x + 2 ) = 5( x - 2 ) / 3

Multiply by 3 on both sides of the equation , we get

3 ( x + 2 ) = 5 ( x - 2 )

On further simplification , we get

3x + 6 = 5x - 10

Subtracting 3x on both sides of the equation , we get

2x - 10 = 6

Adding 10 on both sides of the equation , we get

2x = 16

Divide by 2 on both sides of the equation , we get

x = 8

Therefore , the value of x is 8

Hence , the proportion is solved

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Answer:

T < 5

Step-by-step explanation:

High School A: A(t) = 800 + 35t

High School B: B(t) = 550 + 85t

To find the interval of years in which High School A will have more students than High School B, we need to find the years in which A(t) > B(t).

So, we need to solve the inequality A(t) > B(t)

800 + 35t > 550 + 85t

250 > 50t

t < 5

Therefore, High School A will have more students than High School B for the first five years.

The interval of years, t, for which High School A will have more students than High School B is t < 5

Answer:

Step-by-step explanation:

4x + 3 + 2x + 9 = 180°

6x + 12 = 180

6x = 180 - 12

6x = 168

x = 168 : 6

x = 28°

-------------------------------

4 × 28 + 3 + 2 × 28 + 9 = 180    (remember PEMDAS)

112 + 3 + 56 + 9 = 180

180 = 180

The correct explaination to calculate the total number of miles that Cody hiked in two days is Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Add the two products.

First of all, we must know the formula of average speed. The formula is as follows -

Average speed = distance ÷ time

Using this formula, we can calculate distance for Saturday and Sunday and subsequently add the distance to find the number of miles that Cody hiked in two days.

For Saturday -

Distance = 1 × 5

Performing multiplication

Distance = 5 miles

For Sunday -

Distance = 3 × 2

Performing multiplication

Distance = 6 miles

Total distance hiked = 5 + 6

Performing addition

Total distance hiked = 11 miles

Thus, the correct explaination is Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Add the two products.

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The complete question is -

Cody hiked at an average speed of 1 mile per hour for 5 hours on Saturday. He hiked an average speed of 2 miles per hour for 3 hours on Sunday. Which explanation correctly tells how to calculate the total number of miles that Cody hiked in two days? Step 1: Divide 1 ÷ 5. Step 2: Divide 2 ÷ 3. Step 3: Subtract the two quotients. Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Add the two products. Step 1: Divide 1 ÷ 5. Step 2: Divide 2 ÷ 3. Step 3: Add the two quotients. Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Subtract the two products.

Answer:

This equation makes no sense post in better quality

Step-by-step explanation:

Answer:

a) La temperatura ambiente es -1/3.

Answer:

Step-by-step explanation:

For the cat's heart to beat 45 times in 15 seconds

for 1 second, we must divide 45 by 15

the answer will be 3 beats per second

Answer:

a. The result is always an integer because integers are not fractions or decimals.

b. Sorry I don't have an answer for b i don;t know what that means. :(

Answer:(x+3)=2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont knpw

A measure computed from the entire population is called​ parameter.

A limit is a parameter. A parameter is a constant in an equation in mathematics, however today, any system can include parameters that control how it functions. You can provide guidelines for your class discussion.

Greek words para-, which means "beside," and metron, which means "measure," are combined to form the term parameter. Gravity and time are two boundaries that the natural world establishes. The law establishes the boundaries of appropriate conduct in court. While parameters and perimeters are similar, a parameter can contain or define something that is either physically present or abstractly defined, whereas a perimeter is the physical space that surrounds an entity.

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Answer:

Step-by-step explanation: I do these in 2 steps:

1. isolate the y term ----- 4y = -2x + 16

2. divide each term by the coefficient of the y-term

y = (-2/4)x + 4

y = (-1/2)x + 4

The number of different sandwiches that Javier can order, given the number of types of meat and cheeses, is 12 sandwiches.

Javier has 3 choices for the type of meat and 4 choices for the cheese, so the total number of different sandwiches he can order is the product of the number of choices for each ingredient.

To find the total number of different sandwiches, you can multiply the number of meat choices by 4 the number of cheese choices.

The number of sandwiches Javier can order are:

= 3 x 4

= 12 sandwiches

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For geometric shape no.4,∠1=26°,∠2=154°,∠3=26°,∠4=26°,

∠5=154°,∠6=154°,∠7=26°.

What are geometric shapes?

In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.

Shapes are also classified with respect to their regularity or uniformity. A regular shape is usually symmetrical such as a square, circle, etc. Irregular shapes are asymmetrical. They are also called freeform shapes or organic shapes. For example, the shape of a tree is irregular or organic.

In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc.  In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also. For example books (cuboid shape), glasses (cylindrical shape), traffic cones (conical shape) and so on.

Now,

∠1+154°=180° -->∠1=26°   (supplementary angles)

∠1=∠3  (opposite angles) -->∠3=26°

∠2+∠3=180°

∠2=154°

∠1=∠7 --->∠7=26°

∠7+∠6=180° (supplementary angles)

∠6=154°

∠5+∠7=180° (supplementary angles)

∠5=154°

∠4+∠5=180° (supplementary angles)

∠4=26°

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The point (4, 3) is a viable solution.

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

Given:

A basket holds at most 14 pounds of apples and oranges.

There are at least 3 pounds of apples in the basket.

This graph shows the system that represents this scenario, where x is the weight of the apples and y is the weight of the oranges.

That means, we have the system of inequalities,

x + y ≤ 14,

x ≥ 3

Option B and C are discarded.

And y ≥ 0.

Option A is also discarded.

Substituting (4, 3),

x + y ≤ 14,

7  ≤ 14.

Therefore, (4, 3) is a solution.

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The complete question:

A basket holds at most 14 pounds of apples and oranges. There are at least 3 pounds of apples in the basket. This graph shows the system that represents this scenario, where x is the weight of the apples and y is the weight of the oranges. Which point represents a viable solution?

The equation in the problem is in slope intercept form. The slope-intercept form of a linear equation is: y = mx + b

What is meant by slope?

The slope-intercept form of a linear equation is: y = mx + b

Where m is the slope and b is the y-intercept value.

Therefore, for this equation y = -2x - 7

The Slope is: m = -2

The Y=Intercept is b = -7 (or)

slope and y-intercept from the graph: (0, -7)

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Answer: 0.81

Step-by-step explanation:

       We will look at the thousands place to round to the hundredth. If the thousands place is at or above 5, we will round up. If it is 4 or below, we will round down.

[tex]\displaystyle 0.814\\0.81\boxed{4}\\\\4 < 5\\\\0.81[/tex]

The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.

What exactly is a phrase?

It is described as blending mathematical operators, constants, and variables.

It follows that:

The sentence is:

hD = m

To account for D Declare D as the subject.

As we know, an arithmetic operation can be defined as an operation in which we add, subtract, multiply, and divide integers. It has four basic operators that are +, -, ×, and ÷.

By dividing both sides by h:

hD/h = m/h

Here h ≠ 0

D = m/h

As a result, if the statement is hD = m, then the expression in terms of m and h is D = m/h, and the solution is D = m/h.

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Answer: 16x^38y^22

Step-by-step explanation:

Re-order terms so constants are on the left
(−xy)2(2x9y5)4(−)2(295)4

Distribute exponent

(−xy)2(2x9y5)4(−)2(295)4

Evaluate the exponent

(−1)2(xy)2⋅(2x9y5)4(−1)2()2⋅(295)4

The statement "7x5-4x5+16+4-26 when

(select) (select) (select) (select)+(select)=(select)-26", with the values in the same order, but with parentheses such that the statement is true is 7x(5-4x+4)-26 = (7x)(1) - 26

Factorization is the process of finding the factors, or integers that multiply together to give a specific number. It is also known as factoring or prime factorization when the factors are prime numbers. For example, factorization of 12 is 2x2x3, which are the prime factors that multiply to give 12. The process of factorization is used in a variety of mathematical and scientific fields, such as number theory, algebra, and computer science.

It can also refer to a mathematical expression where an algebraic expression can be written as a product of two or more expressions.

In general, factorization is a way of breaking down a number or an expression into smaller parts that can be used to understand or simplify it.

Therefore, when plugged in those values in the same order, the statement become true.

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Eva will earn $10.50 interest.

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P(1 + r/n[tex])^{nt}[/tex]

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

Eva deposited $50 in an account earning 10% interest compounded annually.

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n[tex])^{nt}[/tex]

A = 50.00(1 + 0.1/1[tex])^{2}[/tex]

A = $60.50

Therefore, she will earn $10.50 of interest.

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15 x 14 x 13 x ... x 3 x 2 x 1 is the possible batting orders.

A baseball coach can create 15! (15 factorial) different batting orders for a team of 15 players if there are nine positions to fill in the lineup. This is because, for the first spot in the lineup, there are 15 options, for the second spot there are 14 options, and so on, leading to 15 x 14 x 13 x ... x 3 x 2 x 1 possible batting orders.

The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.

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The inequality statement j/6 > 3 is true when j = 24.

To substitute the value of j into the inequality statement, you will replace j with 24 and then simplify the expression.

j / 6 > 3

24 / 6 > 3

Simplifying, we get

4 > 3

Since 4 is greater than 3, the inequality statement is true.

You can also check by multiplying both sides of inequality by 6

j > 18

24 > 18

This is true because 24 is greater than 18. Therefore, the inequality statement j/6 >3 if j =24 is true.

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As per the 95% confidence interval, the true proportion of the professor's students who were registered to vote is between 57.3% and 82.7%

The term called confidence interval is defied as  the mean of your estimate plus and minus the variation in that estimate.

Here we know that  sample of 50 of her students randomly sampled from her 700 students, 35 said they were registered to vote.

Here we have to calculate the true proportion of the professor's students who were registered to vote with 95% confidence interval is,

Here we have a random sample of less than 10% of the professor's students with 35 expected successes and 15 expected failures

Here we have know that both of which are at least ten, so a Normal model applies.

Then the value of n = 50,

=> P =35/50 = 0.70

Then the value of q = 1 - p = 1 - 0.70 = 0.30

Then the value of SE is

=> √(0.70 0.30)/ 50 = 0.065

Then with 95% confidence interval is calculated as,

=>  p± SE(p)

Apply the values on it, then we get

=> 0.70±1.96 (0.065)=0.70±0.127

=> 0.573 to 0.827

hence the 95% confident that between 57.3% and 82.7% of the professor's students are registered to vote.

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The statement is true, the point (8, 7) is a solution to the inequality.

Here we have the following statement:

"(8, -7) is a solution to the inequality y < 12x − 9"

To check if that is true, we just need to replace the values of the point on the inequality and check if the ienquaity becomes true.

We will get:

-7 < 12*8 - 9

-7 < 87

This is true, 87 is a number larger than -7, then the statement is true, (8, -7) is a solution of the inequality.

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Leia's ending balance after 5 years will be $3245.41. The solution has been obtained by using the concept of compound interest.

What is compound interest?

Both the principal and the interest that has accumulated over the previous period are used to compute interest. Compound interest accounts for the principal when calculating the interest for the subsequent month, in contrast to simple interest, which does not. In mathematics, compound interest is frequently denoted by the letter C.I.

We know that formula for compound interest is

[tex]A= P(1 + \frac{r}{n} )^{nt}[/tex]

So, here P = $2658 , n=12, t=5 and r = 0.04

Thus, we get

[tex]A= 2658(1 + \frac{0.04}{12} )^{60}[/tex]

[tex]A= 2658(1.00333})^{60}[/tex]

A = 2658*1.2207

A = $3245.41

Hence, Leia's ending balance after 5 years will be $3245.41.

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