Graph the ordered pair solutions of y = |x+2| when x = -5, -3, 0, 3, and 5

Answer:

Step-by-step explanation:

Identify what you are asked to find. What is the sales tax?

Choose a variable to represent it. Let t = sales tax.

Write a sentence that gives the information to find it. The sales tax is 6.5% of the purchase price.

Translate into an equation. (Remember to change the percent to a decimal).

Simplify. t = 25.48

Check: Is this answer reasonable? Yes, because the sales tax amount is less than 10% of the purchase price.

Write a complete sentence that answers the question. The sales tax is $25.48.

(b)

Identify what you are asked to find. What is the total cost of the bicycle?

Choose a variable to represent it. Let c = total cost of bicycle.

Write a sentence that gives the information to find it. The total cost is the purchase price plus the sales tax.

Translate into an equation. (Remember to change the percent to a decimal).

Simplify. c = 417.48

Check: Is this answer reasonable? Yes, because the total cost is a little more than the purchase price.

Write a complete sentence that answers the question. The total cost of the bicycle is $417.48.

Exercise  6.3.1 :

Find (a) the sales tax and (b) the total cost: Alexandra bought a television set for $724 in Boston, where the sales tax rate was 6.25% of the purchase price.

Answer a

Answer b

Exercise  6.3.2 :

Find (a) the sales tax and (b) the total cost: Kim bought a winter coat for $250 in St. Louis, where the sales tax rate was 8.2% of the purchase price.

Answer a

Answer b

Example  6.3.2 :

Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got the receipt and saw that the tax was $42.42. What was the sales tax rate for this purchase?

Solution

Identify what you are asked to find. What is the sales tax rate?

Choose a variable to represent it. Let r = sales tax.

Write a sentence that gives the information to find it. What percent of the price is the sales tax?

Translate into an equation.

Divide.

499r499=42.42499(6.3.1)

Simplify r = 0.085

Check. Is this answer reasonable? Yes, because 8.5% is close to 10%. 10% of $500 is $50, which is close to $42.42.

Write a complete sentence that answers the question. The sales tax rate is 8.5%.

Exercise  6.3.3 :

Diego bought a new car for $26,525. He was surprised that the dealer then added $2,387.25. What was the sales tax rate for this purchase?

Answer

Exercise  6.3.4 :

What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?

You can use the method of calculating the percentage of an amount to find out the discount amount.

The discount price for the given condition was $205.2

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]

First we will find the marked price since the discount price was calculated on the marked price.

Since marked price was 150% of the cost price $456, thus,

[tex]\text{Marked price} = \dfrac{456}{100} \times 150 = \$684[/tex]

Thus, the marked price of the furniture was $684

Now, since the discount offered on the price was 30%, thus,

[tex]Discount = \dfrac{\text{Marked price}}{100} \times \text{Discount percent} =\dfrac{684}{100} \times 30\\\\Discount = \$205.2[/tex]

Thus,

The discount price for the given condition was $205.2

Learn more about percentage here:

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Answer:

Yes

Step-by-step explanation:

( x, y ) = ( 3, - 10 )

Here,

x = 3

y = - 10

y = - 4x + 2

- 10 = - 4 ( 3 ) + 2

- 10 = - 12 + 2

- 10 = - 10

LHS = RHS

Therefore,

( 3, - 10 ) a solution to the function y = - 4x + 2.

Answer:

Résultat de recherche d'images pour "Definition of Linear relationship"

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b

Step-by-step explanation:

Answer:

22 cakes

Step-by-step explanation:

5 1/2kg = 11/2 = 22/4

22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes

Answer:

He can makec 22 cakes

Step-by-step explanation:

He use,

[tex] \frac{1}{4} kg = 1 \: \: cake \\ [/tex]

Let's find how many caked will he make from 5 1/2kg

Let the unknown number of cakes be x

[tex] \frac{1}{4} = 1 \\ 5 \frac{1}{2} = x[/tex]

[tex] \frac{1x}{4} = 5 \frac{1}{2} \\ \frac{1}{4} x = \frac{11}{2} [/tex]

Use cross multiplication

[tex]2 \times 1x = 11 \times 4 \\ 2 x= 44 \\ \frac{2x}{2} = \frac{44}{2} \\ x = 22[/tex]

Hope this helps you

Let me know if you have any other questions :-):-)

Answer:

30-[10+( 128)]=

30-[138]=

-108

Step-by-step explanation:

Answer:

30-[10+( 128)]=

30-[138]=

-108

Step-by-step explanation:

Step-by-step explanation:

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Answer:

40g

Step-by-step explanation:

The answer is 40 gallons

Answer:

Step-by-step explanation:

25.65 ≈ 25.7, 13.23 ≈ 13.2, 6.35 ≈ 6.4

Correct choice is b.

Answer:

b

Step-by-step explanation:

1,4,9,16,25,36,...

we see every number is square of numbers .

every number can be represented by n²

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

Answer:

yyy i will help....... dont cry

1. Convert to decimal notation

The exponent is 11, making it 10 to the power of 11. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 11 time(s):

Answer:

x=5, y=2, z=2

Step-by-step explanation:

y=3x-13

-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3

9x + 2z = 49  ... (1)

2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0

10x + z = 52  ... (2)

(2)*2-(1): 11x = 55         x = 5

y = 3x-13 = 15-13 = 2      y=2

z = (49-9x) / 2 = 2         z = 2

Answer:

8

Step-by-step explanation:

4/5 = ?/10

4/5 * (2/2) = ?/10

8/10 = ?/10

Answer:

8

Step-by-step explanation:

multiply the denominator and numerator, you get 8/10

Answer:

∆K = 98°

∆M = 82°

∆G = 118°

∆H = 62°

Step-by-step explanation:

∆K & ∆G is by corresponding angle

and

∆M & ∆H is by linear pairs

The graph would look like the picture above.

Rise 3, Run 1

Answer:

16.03

Step-by-step explanation:

8% = 0.08

Multiply the price with the percent

0.08 x 14.84 = 1.1872

Add 1.1872 to 14.84

1.1872 + 14.84 = 16.0272

Round to the nearest cent since it's money

Answer:

37.6

Step-by-step explanation:

......... . .. .................

Answer:

The number is 0.06, or 6 hundredths.

Step-by-step explanation:

If we convert 2 2/5 to a decimal, we get 2.4

Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.

Now, we can multiply 2.4 and .025, which gives us 0.06

Answer:

1/12

Step-by-step explanation:

[tex] - \frac{11}{16} \times - \frac{4}{33} [/tex]

if you know how to cancel, you can cancel the 4 and 16. The 4 becomes a 1 and 16 becomes a 4. Next cancel the 11 and 33. the 11 becomes a 1 and the 33 becomes a 3.

[tex] - \frac{1}{4} \times - \frac{1}{3} [/tex]

multiply, two negatives make a positive

[tex] \frac{1}{12} [/tex]

Answer:

A

Step-by-step explanation:

Answer:

19 feet

Step-by-step explanation:

The dolphin goes from 15 feet below then he goes above the ocean by 4. So add 15 + 4 to get 19 feet.

Answer:

Nose :>

Step-by-step explanation:

.

The algebraic properties that can be applied in this case are: distributive property, commutative property, associative property.

Note: The question is in Spanish. Here is the question in English:

Formulate a basic algebraic property of the real number system to justify each of the following statements, where Y and Z represent real numbers. a) (y + 2)z + 3 = (yz + 2z) + 3

b) (4 + 7)y = y (4 + 7)

c) (1 + 4) + 3 = 4 + (1 + 3)

Learn more about algebraic properties in: https://brainly.com/question/30237937

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Answer:

11

Step-by-step explanation:

2+2+1(5)+3+3(6) =11

Answer:

[tex] \longmapsto\frac{ |2a| - b }{3} \\ = \frac{ 2|a| - b }{3} \\ = \frac{2 |7| - ( - 4) }{3} \\ = \frac{2(7) + 4}{3} \\ = \frac{14 + 4}{3} \\ = \frac{18}{3} \\ = \boxed6[/tex]

Answer:

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