A customer buys 3 shirts that cost $10 each. The store is having a sale for 15% off, and the sales tax is 6%. The store applies discounts before applying the sales tax to a customer’s total. What is the customer’s total after the discount and sales tax are applied, in dollars and cents?

{x=-1/3-10/3y

5x+20y=5

5(-1/3-10/3y)+20y=5

solve the equation

.

.

Y=5

substitute the value of y into the equation

x=-1/3-10/3×2

.solve the equation

.

.x=-7

(x,y)=(-7,2)

{3×(-7)+10×2=-1

5x(-7)+28×2=5

simplify

{-1=-1

5=5

the ordered pair is asolution

(X,Y)=(-7,2)

That's all!!!!

Answer:

x = -7 y = 2

Step-by-step explanation:

Let's solve this using the elimination method:

3x + 10y = -1. #1

5x + 20y = 5. #2

Multiply Eqtn #1 by -2

-6x - 20y = 2

5x + 20y = 5

Add these two equations together and we will get

-x = 7 or x = -7

Use this value of x into either Eqtn #1 or #2

3(-7) + 10y = -1 ----> 10y = 20 or y = 2

Answer:

false

Step-by-step explanation:

(8,8) or (4,4)

A. There are 37 terms in the sum.

B. The sum of the given series is 7,696.

A. Using arithmetic sequences, We can observe that each term in the sum is obtained by adding 11 to the previous term. Therefore, the nth term can be expressed as:

\(a_n = 10 + 11(n-1)\)

We want to find the number of terms in the sum up to \(a_n\) = 406. Setting \(a_n\)= 406 and solving for n, we get:

406 = 10 + 11(n-1)

396 = 11(n-1)

n = 37

Therefore, there are 37 terms in the sum.

B. We can use the formula for the sum of an arithmetic series:

\(S_n = n/2 * (a_1 + a_n)\)

where \(S_n\) is the sum of the first n terms, \(a_1\) is the first term, and\(a_n\) is the nth term.

In this case, we have:

\(a_1\)= 10

\(a_n\)= 406

n = 37

Substituting these values, we get:

\(S_{37}\) = 37/2 * (10 + 406)

\(S_{37}\) = 18.5 * 416

\(S_{37}\) = 7,696

Therefore, the sum of the given series is 7,696.

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Answer:

d is about 8.6 feet.

Step-by-step explanation:

We have similar triangles, so we can set up and then solve this proportion:

\( \frac{d}{10} = \frac{6}{7} \)

\(7d = 60\)

\(d = 8.6\)

an=20.5+2 5n

correct me if I'm wrong

The length of the rectangular  playground is 241.86 foot.

Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.

Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.

A=LW

As given A= 19,500 sq.ft and considering L=3W,

19,500 = 3W*W

19,500 = 3W^2

∴ W^2 = 6500

∴ W = \(\sqrt{6500}\)

∴ W = 80.6225 ft. ≈ 80.62 ft.

Now putting the value W = 80.62 in equation L =3W,

L = 3* 80.62

L = 241.86 ft.

The length of the rectangular playground is 241.86 foot.

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Answer:

Fourth degree

Step-by-step explanation:

The degree of a polynomial refers to the sum of all the exponents in a term

Examples:

7x - first degree

4x^2 - second degree

2x4y^2 - third degree

I hope this helps!

The equation is equivalent to the r = d/t.

There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

We have to find which equation is equivalent to the formula d = rt.

Formula given: d = rt

Divide both sides by t

d/t = rt / t

d/t = r

Thus, the equation is equivalent to the r = d/t.

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Answer:

Below.

Step-by-step explanation:

I can't see the words on your image very well but I can give you an explanation of the remainder theorem.

The theorem allows you to find the remainder of a division without doing the division itself.

You can find the remainder when  a polynomial is divided by a linear expression like 3x - 2, for example,  using this theorem.

An example will explain the method:

What is the remainder when x^3 - x^2 - 2x - 5 is divided by 2x - 1?

Put 2x - 1 = 0, this gives x = 0.5.

Now we plug x = 0.5 into the polynomial:

This = (0.5)^3 - (0.5)^2 -2(0.5) - 5 = -6.125

So the remainder is -6.125.

The formal definition is

The remainder when P(x) is divided by x - a is f(a).

Journal entries for Southeastern College as a public university:

1. Donation received for capital addition:

Restricted Cash - Capital Additions Dr. $502,000

Donation Revenue Cr. $502,000

2. Contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

3. Interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

4. Increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

To record the transactions for Southeastern College as a public university, the following journal entries are made:

1. Recording the donation received for capital addition:

Restricted Cash - Capital Additions  Dr. $502,000

Donation Revenue Cr. $502,000

The restricted cash is increased by $502,000, representing the additional donation received for capital additions. The corresponding revenue account is credited.

2. Recording the contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

The cash received from the alum is debited, and the permanently restricted net assets (part of the endowment) are credited.

3. Recording interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

The interest and dividends received on the endowment investments are debited to restricted cash for scholarships, and the investment income account is credited.

4. Recording the increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

The increase in the fair value of the investments is recorded as an investment gain. The unrestricted net assets account is credited, as gains or losses from changes in fair value are not distributed and remain in the endowment.

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Answer:

the volume is 1cm

Step-by-step explanation:

multiply all three fractions by using the equation V=WLH

Answer:

t%281%29+=+t%284%29-3d+=+11.6-3%280.2%29+=+11

Step-by-step explanation:

t%2810%29+=+t%288%29%2B2d+=+12.4%2B2%280.2%29+=+12.8

Answer:

1) 2 5/12

2) -3 1/30

3) 3/5

4) m = -28

5) b = -27

Step-by-step explanation:

1) You may be expected to solve this a different way, but how I prefer to solve these involves converting to "improper fractions", then making everything whole.

-11/3 = x - 5/4 (convert to improper fractions)

-44 = 12x - 15 (multiply everything by 12 to get whole numbers)

-29 = 12x (add 15 to both sides)

-29/12 = x (divide both sides by 12)

2 5/12 = x (convert to a mixed number, because that's what the question asks)

For clarity, that's two and five twelfths.

2) Same thing as above. I prefer improper fractions.

x + 17/6 = -1/5 (simplify and convert to improper fractions)

30x + 85 = -6 (multiply everything by 30 to get whole numbers)

30x = -91 (subtract 85 from both sides)

x = -91/30 (divide both sides by 30

x = -3 1/30 (convert to a mixed number, because that's what the question asks)

For clarity, thats minus/negative three and one thirtieth.

3) Same thing as above.

-(11/3)x = -11/5

-55x = -33

55x = 33

x = 33/55

x = 3/5

4) Same as above, but it's multiple choice! Yay!

-3m = 84

m = -28

5) You know the drill.

-b = 27

b = -27

I'd be happy to explain more if you need it at all. I'd recommend that next time this comes up, you post just one problem and see if you can understand the method so you can better learn how to do it on your own. Good luck (:

Answer:

1) 2 5/12

2) -3 1/30

3) 3/5

4) m = -28

5) b = -27

Step-by-step explanation:

Firstly finding common difference of the series

As we know that

• Common difference ( d ) = t₂ - t₁

→ Common difference = 37 - 40

→ Common difference = - 3

Now, as we know that

• Sn ( Sum of n terms ) = n/2 [ 2a + ( n - 1 ) d ]

Substituting n = 1. Since the sum of no. of terms is 10 . And substituting a = 40 ,since first term is 40

=> S₁₀ = 10/2 [ 2(40) + ( 10 - 1 ) -3 ]

=> S₁₀ = 5 [ 80 - 27 ]

=> S₁₀ = 5 × 53

=> S₁₀ = 265

Hence , sum of first 10 terms ( S₁₀ ) = 265

Answer:

x = 50°

Step-by-step explanation:

The lower right angle in the triangle = 40° ( alternate angle )

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x , that is

x = 180° - (90 + 40)° = 180° - 130° = 50°

Answer:

a. 38.5

Step-by-step explanation:

The triangles are similar. That means that the ratios are the same.

x/14 = 11/4

x/31.5 = 11/9

Let's use the top one

x/14 = 11/4

4x/14 = 11

4x = 154

x = 38.5

9514 1404 393

Answer:

  D

Step-by-step explanation:

In the second quadrant, ...

  c = 180° -arcsin(24/25) ≈ 106.26°

In the third quadrant, ...

  d = 360° -arccos(-3/4) ≈ 221.41°

Then cos(c+d) = cos(327.67°) ≈ 0.84498

This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:

  \(\dfrac{21+24\sqrt{7}}{100}\approx 0.84498\)

_____

Perhaps you want to work this out using the trig identities.

  cos(c) = -√(1 -sin(c)²) = -7/25

  sin(d) = -√(1 -cos(d)²) = -(√7)/4

Then the desired cosine is ...

  cos(c+d) = cos(c)cos(d) -sin(c)sin(d)

  cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)

  cos(c+d) = (21 +24√7)/100 . . . . matches choice D

Answer:

D

Step-by-step explanation:

Answer:

Sal ate 1/24 more than Harry.

Step-by-step explanation:

Multiply 1/3 by 8/8 and 3/8 by 3/3 an you'll get the same denominator Subtract both. 1/3 x 8/8 = 8/24 3/8 x 3/3 = 9/24 9/24 - 8/24 = 1/24

If you get the chance brainliest? Hope I could help.

Answer:

nine divided by 2 plus negative eight

Step-by-step explanation:

9/2=4.5

4.5+(-8)= -3.5

Step-by-step explanation:

= 9/2 + -8/1

= 9/2 + 16/2

= 9 + (-16)/2

= -7/2

The system of equations with no solutions is the second one:

3x - 7y = 22

4.5x - 10.5y = 44

When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).

So we need to identify the system of linear equations where the lines are parallel.

If you look at the second system of equations, we have:

3x - 7y = 22

4.5x - 10.5y = 44

We can multiply the first equation by 1.5 to get:

1.5*(3x - 7y) = 1.5*22

4.5x - 10.5y = 33

Then the system is:

4.5x - 10.5y = 33

4.5x - 10.5y = 44

We can see that these lines are parallel,and thus, this system has no solutions.

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Answer:

1.212 x 10^2

Step-by-step explanation:

Step 1 we get true decimal form answer = 121.2

Step 2 we count numbers for power in front of decimal before conversion and -1 = 3-1 = 2 power.

Step 3 We rewrite 121.2 in standard form 1.212  and x10 and use 2 power we proved.

Answer:

It's the last answer

Step-by-step explanation:

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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we should reject H0 if the standardized test statistic is greater than 1.645

Given a sample size of n = 48 and a level of significance of α = 0.1, we can use the z-test to test the claim μ ≤ 25.6.

Since the level of significance is α = 0.1, we need to find the critical value corresponding to a 90% confidence level (1 - α).

The critical value for a 90% confidence level is 1.645.

what is statistic?

A statistic is a numerical value or measure that summarizes a specific characteristic or property of a sample or population. It is commonly used in statistics and research to provide information about a data set or to make inferences about a larger population based on the observed sample.

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The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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Answer:

7 1/3

Step-by-step explanation:

Answer:

7 1/3

Step-by-step explanation:

two negatives equal a positive.

new answer:

1 2/3 + 5 2/3= 7 1/3

5+1= 6

2/3+2/3= 1 1/3

6+ 1 1/3= 7 1/3

7 1/3 is your answer.

Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

have a nice day! ( ﾟдﾟ)つ Bye

Answer:

Danny owns 15 shirts.

Step-by-step explanation:

We know

Danny has 6 orange-colored shirts; this is 40% of the shirt he owns.

How many shirts does Danny own?

We Take

(6 ÷ 40) x 100 = 15 shirts

So, Danny owns 15 shirts.

Answer:  15 shirts

Step-by-step explanation:

Step 1: We know that Danny has 6 orange shirts, which is 40% of the total number of shirts he owns.

Step 2: To find out the total number of shirts Danny owns, we can use the following formula:

Total number of shirts = (Number of orange shirts ÷ Percentage of orange shirts) × 100

Plugging in the values, we get:

Total number of shirts = (6 ÷ 40) × 100 = 15

Therefore, Danny owns a total of 15 shirts.

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