Explain how it is possible to determine whether the graphs of 5x−3y=2 and 5x-3y=8 are parallel without doing any calculations

Answer:

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The solution for x in the expression given as 15 + ax/5 =  10 is x = -25/a

From the question, the algebraic expression is given as

15 + ax/5 =  10

There is a constant to add to or subtract from the expression

So, the we subtract 15 from both sides

- 15 + 15 + ax/5 =  10 - 15

Evaluate

ax/5 = -5

Multiply both sides of the equation by 5

This gives

5 * ax/5 = -5 * 5

Evaluate the products

So, we have the following equation

ax = -25

Multiply both sides of the equation by 1/a

This gives

1/a * ax = -25 * 1/a

Evaluate the products in the above expression

x = -25/a

Hence, the solution is x = -25/a

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Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *\frac{9}{5} =\frac{18}{15} =\frac{6}{5}[/tex]

The value of the product of 2/3 × 9/5 is 6/5.

In the given question, we have to attempt fraction multiplication.

For fraction multiplication, we simply multiply the respective numerators and denominators with each other.

Here, in 2/3 × 9/5 ⇒ 18/15 (since 2×9=18) (since 3×5=15)

Now, since we can see that both the numerator and denominator in the solution can get divided by 3, we can simplify the fraction by dividing both the numerator and denominator by 3.

On dividing by 3, we get ⇒ 6/5

So, on multiplying 2/3 and 9/5, we get 18/15 which we later simplify into 6/5.

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It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

A lawn can be mowed by Wilma in 40 minutes. In one hour, Vanessa can cut the same lawn in 120 minutes.

1/120 + 1/40 = 1/T

multiply by 40T;

3T = 40

T = 40/3

  = 13 1/3 minutes

  = 13 minutes 20 seconds

It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

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The page is in landscape mode with a width : height is 3: 2

Given that,

The printable area is should be 42 square inches on a rectangular page. The margins at the top and bottom of the page are each one inch, while the margins on one side are one inch and two inches, respectively.

x = length of the horizontal side of the printable area

y = length of the vertical side of the printable area

XY = 42 inch²

y = 42/x

page height = y + 1 + 1

page width = x + 1 + 2

A = area of an entire sheet of paper

  = (x+3)(y+2)

  = (x+3)(42/x+2)

  = x(42/x+2)+3(42/x+2)

  = 42+2x+126/x+6

A = 2x+126/x+48

Extremes occur when A' = 0:

A' = 0 = 2 – 126/x²

1 = 63/x²

x² = 9*7

x = 3√(7), x has to be positive

y = 42/x = 42/(3√(7)) = 14√(7)/7 = 2√(7)

What should the dimensions of the page be so that the least amount of paper is used?

page width = x + 3 = 3√(7) + 3 = 3(√(7) + 1)

page height = y + 2 = 2√(7) + 2 = 2(√(7) + 1)

So, the page is in landscape mode with width: height is 3: 2.

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i came back home now....

The number of yards of ribbon Isabel bought is 41 yards.

It is given in the question that:-

Money in prepaid debit card = $ 20

Price of ribbon = 7 cents per yard

Money left on the card after buying the ribbon = $ 17.13

We have to find the number of cards of ribbon Isabel bought.

Money used in buying the ribbon = 20 - 17.13 = $ 2.87

We know that,

$ 1 = 100 cents

Hence, according to the data given in the question, we can write,

$ 2.87 = 287 cents

Yards of ribbon bought = 287/7 = 41 yards.

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Answer:

On the attached graph

Step-by-step explanation:

See attached graph

It will take 33.33 years for the account to reach $5500

What is simple interest?

Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.

We know,

Victoria deposited  into a savings account $5000

Annual simple interest rate of 0.3%.

Formula of Simple Interest

                        A = P(1 + rt)

                       5500 = 5000(1 + 0.003t)

                       5500 = 5000 + 15t

                        15t = 500

                         [tex]t = \frac{500}{15} = 33.33[/tex]

It will take 33.33 years for the account to reach $5500

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The rational numbers are -√25, -√25, √100, √0.36, √0.0144 and -√36/49. Select them

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers e.g 2/3, 7/1, √100 = 10/1, etc.

An irrational number is any real number that cannot be expressed as the quotient of two integers. This is the opposite of rational numbers. They are usually of roots that cannot give integers e.g 3√5, √8, etc.

√75 = √(25 x 3) = √25 x √3 = 5 x √3 = 5√3    (This is not rational)

-√25 = -5 = -5/1   (This is rational)

2*√7 = 2√7        (This is not rational)

√100 = 10 = 10/1  (This is rational)

√0.36 = √(36/100) = 6/10   (This is rational)

√0.0144 = √(144/10000) = 12/100  (This is rational)

√3/7 = √3/7  (This is not rational)

-√36/49 = -6/7  (This is rational)

Therefore, -√25, -√25, √100, √0.36, √0.0144 and -√36/49 are rational numbers. They should be selected

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Answer:

x = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] = 4x ( multiply both sides by 2 to clear the fraction )

3 = 8x ( divide both sides by 8 )

[tex]\frac{3}{8}[/tex] = x

Answer:

67 times

Step-by-step explanation:

33,500 divided by 500 is equivalent to 67

The domain of the given function is {1, 2, 3, 4, 5} which represents she sells t-shirts.

The domain of a set of ordered pairs includes all possible x values of a function, and the range includes all possible y values of a set of ordered pairs.

We have been given that Sasha sells t-shirts. Each day she earns a set amount, plus a commission.

The domain of the given function represents she sells t-shirts.

According to the given table, the required domain will be as:

The domain of the given function = {1, 2, 3, 4, 5}.

Therefore, the domain of the given function is {1, 2, 3, 4, 5}.

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Marsha deposited $5500 into savings with 5% interest rate

1st year, Marsha will earn : [tex]0.05 \times 5500 = 275[/tex]

2nd year, Marsha will earn: [tex]0.05 \times 5775 = 288.75[/tex]

3rd year, Marsha will earn: [tex]0.05 \times 6063.75 = 303.19[/tex]

4th year, Marsha will earn: [tex]0.05 \times 6366.94 = 318.35[/tex]

Answer:73.33

Step-by-step explanation:

The answer is 73.33 because 73.33 multiplied by 3 = 219.99

The strategy which would eliminate a variable in the system of equations is to multiply the top equation by 3 ,multiply the bottom equation by -2 then add the equation and is denoted as option B.

This is a mathematical term which is made up of two expressions and is connected by an equal sign.

In the example given below:

2x + 8y = -3

3x + 6y = -4

We can multiply the top by 3 and the bottom by -2 which will result in:

6x + 24y = -9

-6x - 12y = 8

They are then added to each other to give:

6x - 6x + 24y - 12y = -9+8

12y = -1

y = -1/12

From this we can notice that the variable x was eliminated which is why option B is the correct choice.

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Answer:

4054

Explanation:

171 is the three-digit palindrome that ends with 71

3883 is the four-digit palindrome that ends with 83

171 + 3883 = 4054

The number of days it take the same number of signature will be 2 days.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Vivian has 18 signatures, and Kyle has 14.

Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.

Now,

Since, Vivian has 18 signatures, and Kyle has 14.

And, Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.

Let number of days it take the same number of signature = x

So, We can formulate;

⇒ 18 + x = 14 + 3x

Solve for x as;

⇒ 18 + x = 14 + 3x

⇒ 18 - 14 = 3x - x

⇒ 4 = 2x

⇒ 2x = 4

⇒ x = 2

Thus, The number of days it take the same number of signature will be 2 days.

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Events A and B are non-overlapping. Option(2) is correct.

When two sets A and B have at least one element in common, they are said to be overlapping.

The sets of photographs that don't overlap are the sets where no two pictures (correctly) don't overlap. They are the expansion of the cross-bifix-free sets of strings to two dimensions is called non-overlapping.

A red die and a blue die are rolled.

Assume that Event A is receiving the number 9.

Event B: You receive a double.

Whether events A and B overlap or not is what we want to determine.

When two red dice and two blue dice are thrown, a sample space is then provided by,

S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5),(3,6), (4,1), (4,2), (4,3), (4,4),(4,5),(4,6) (5,1), (5,2), (5,3), (5,4),(5,5),(5,6),(6,1), (6,2),(6,3)(6,4),(6,5),(6,6)}

The two dice are rolled, and there are a total of 36 outcomes.

n(S)=36

Assume that Event A is receiving the number 9.

The probable results for A = (3,6), (4,5), (5,5), (5,6), (6,3)

And let's say that you receive a double in Event B.

The events that may occur if B=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)

We can observe that the two events are distinct from one another since there is no overlap in the potential outcomes of the two events.

Therefore events A and B are non-overlapping

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The length of each wire is 12.8 feet

The television antenna makes an angle 90 with the ground

The height of the antenna is 10 feet

The wires are anchored to the base which is 8 feet

We need to calculate the length of the wires

The height of the wire can be calculated by using pythagoras theorem

h² = b² + p²

h² = 8² + 10²

h² = 64 + 100

h = √164

h = 12.8

Therefore, the length of each wire is 12.8 feet

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its 4 cause i have done this

First, we isolate the variable on one side of the inequality by subtracting 15 from both sides:

15 - 2x - 15 ≤ 11 - 15

Simplifying the left side, we get:

-2x ≤ -4

Next, we divide both sides by -2. Since we are dividing by a negative number, we need to flip the inequality sign:

-2x/-2 ≥ -4/-2

Simplifying, we get:

x ≥ 2

Therefore, the solution to the inequality 15-2x ≤ 11 is x ≥ 2.

add me cuties

The cost of covering the field with grass pallets is $40996.58.

Given that the rectangular field measures 90 m and 162 m.

Hence, the area of the field is 90 X 162 m²

The grass pallets are sure in shape with an area covering 90 square yards.

1 m = 1.09 yards

Hence,

1 m² = 1.09² square yards

Hence,

90 X 162 m² = 90 X 162 X 1.09² square yards

Hence the number of pallets to be used is

(90 X 162 X 1.09²) / 90

= 162 X 1.09² pallets.

= 192.4722 pallets.

1 pallet costs $213

Hence,

192.4722 pallets cost

192.4722 X 213

= $40996.58

Therefore we get the cost of covering the field with grass is  $40996.58.

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Answer:

m+n=x/p

p×(m+n)=(x/p)×p

x=pm+pn

Answer:

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

Let the sides of the old rectangle are l and w.

Answer: Hence the answer is 27 square feet.

Please look at the images for more details.

The volume of the rectangular prism is the 75 ft cube.

The prism below is a rectangular prism.

A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent.

The volume of a rectangular prism can be express as follows:

Volume of a rectangular prism = base area × height

Therefore,

base area of the prism = 25 ft²

height of the prism = 3 ft.

Hence,

Volume of the rectangular prism = 25 × 3

Volume of the rectangular prism = 75 ft³

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Answer: 38.75 hours

Step-by-step explanation: so one thing real quick, you said “A painter worked 7 3/4 hours per hour” that’s not possible so instead I’m guessing you meant 7 3/4 hours per day.

Turn 7 3/4 hours into 7.75 hours then it’s simple, you multiply 7.75x5! You get 38.75 hours!

Answer:

38 3/4

Step-by-step explanation:

7 3/4 times 5 =

7 3/4 = 31/4

31/4 times 5 = 155/4

= 38 3/4

Answer:

The answer is x^{3}-2x^{2}-5x+6

Step-by-step explanation:

This is because only a Cubic Function would have such a shape. That leaves x^3 functions from there just substitute points and check