Through: (3,4) perp. to y = -2x - 4

Answer:

Total cost of the meal is $ 27.32.

Step-by-step explanation:

Given:

Cost of the meal = $25.30

Tax levied on it = 8%

We have to find the total cost.

Total cost of the meal = Summation of cost of the meal and levied tax.

So,

We have to calculate the tax.

⇒ [tex]8\%\ of\ \$25.30[/tex]

⇒ [tex]\frac{8}{100}\times \$25.30[/tex]

⇒ [tex]0.08\times \$25.30[/tex]

⇒ [tex]\$2.024[/tex]

Tax imposed = [tex]\$2.024[/tex]

Now,

Total cost of the meal =Tax + Meal cost

⇒ [tex]\$(2.024+25.30)[/tex]

⇒ [tex]\$27.324[/tex]

Total cost of the meal is $ 27.32.

Answer:

Approximately 43 feet of minimum cable is needed.

Step-by-step explanation:

This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (which are known to have one 90° angle). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:

[tex]h^2=a^2+b^2[/tex]           Eqn. (1)

where

[tex]h[/tex] is the hypotenuse

[tex]a[/tex] is a side

[tex]b[/tex] is a side

Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have [tex]a=40ft[/tex] and [tex]b=15ft[/tex]. Plugging in Eqn.(1) and solving for [tex]h[/tex] we have:

[tex]h^2=40^2+15^2\\h=\sqrt{40^2+15^2} \\h=\sqrt{1600+225}\\ h=\sqrt{1825}\\ h=5\sqrt{73}\\ h=42.72ft[/tex]

So we conclude that the minimum length of cable needed by Lamont is

≈43 feet (rounded up).

Answer:

350 people

Step-by-step explanation:

you would cross multiply

98/100 times 343/x

98x = 34300

34300/98= 350

So the answer is 350 people

Answer:

for -3/4 it is -0.65 and for -1/2 it is -3/5

Step-by-step explanation:

Final answer:

The numbers closest to -3/4 (-0.75) and -1/2 (-0.5) on the number line are -0.65 and -0.6 (or -3/5), respectively.

Explanation:

The question involves identifying which numbers on a list are closest to -3/4 and -1/2 on the number line. To do this, we should consider converting all the fractions and decimals to a common format (decimals) to easily compare their distances to -3/4 (which is -0.75 as a decimal) and -1/2 (which is -0.5 as a decimal).

The numbers provided are:

-0.65

-1/3 (which is approximately -0.333 as a decimal)

-7/8 (which is -0.875 as a decimal)

-3/5 (which is -0.6 as a decimal)

Now, to determine which numbers are closest to -3/4 and -1/2:

For -3/4 (-0.75), the closest number is -0.65.

For -1/2 (-0.5), the closest number is -0.6 (or -3/5).

Answer: subtract

Step-by-step explanation: you’ll see

The smallest number of bills and coins to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.

The change due back to the customer is $88.98. The smallest number of bills and coins that equals this amount can be broken down as follows:

So, the smallest amount of bills and coins possible to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.

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Kramer collected = 225000

Elaine collected   = 5000

Newman collected = 45000

Solution:

Given Jerry collected 45000.

Kramer collected = 5 times more than Jerry collected

                             = 45000 × 5

                             = 225000

Kramer collected = 225000

Elaine collected   = 9 times less than Jerry collected

                             = 45000 ÷ 9

                             = 5000

Elaine collected   = 5000

Newman collected = same as Jerry collected

                                = 45000

Newman collected = 45000

Hence, Kramer collected = 225000

Elaine collected   = 5000

Newman collected = 45000

Answer:

2025000 kramers collected

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

step 1

Find the slope of AB

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

A(5,-1), B(9, -9)

substitute the values

[tex]m=\frac{-9+1}{9-5}[/tex]

[tex]m=\frac{-8}{4}[/tex]

[tex]m=-2[/tex]

step 2

Find the slope of the line that is perpendicular to AB

we know that

If two lines are perpendicular, their their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

[tex]m_A_B=-2[/tex]

therefore

The slope of the perpendicular line is

[tex]m=\frac{1}{2}[/tex]

step 3

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=\frac{1}{2}[/tex]

[tex]C(4,-1)[/tex]

substitute

[tex]y+1=\frac{1}{2}(x-4)[/tex]

step 4

Convert to slope intercept form

Isolate the variable y

[tex]y+1=\frac{1}{2}x-2\\\\y=\frac{1}{2}x-2-1\\\\y=\frac{1}{2}x-3[/tex]

Answer:

the equation that contains the following 2 points is y=5x-16 which is C.

9514 1404 393

Answer:

  5

Step-by-step explanation:

The evaluation can be easier if terms are collected first.

  3xy+7x^2−3x^2y+3y^2x−2x^2−2xy+4x^2y−2y^2x

  = x^2y(-3+4) +xy^2(3-2) +x^2(7-2) +xy(3-2)

  = x^2y +xy^2 +5x^2 +xy

  = x(xy +y^2 +5x +y)

Filling in the numbers, we have ...

  = (1)(1(-2) +(-2)^2 +5(1) +(-2))

  = -2 +4 +5 -2

  = 5

The value of the polynomial is 5.

Answer:

x = 7/4   or  x = 1.75  or  x = 1 and 3/4

they all mean the same thing but there just in different forms (decimal form, fraction form, and mixed number form)

Answer:

x = 54 and none of the alternatives given is correct

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

x = 54 and none of the alternatives given is correct

Answer:

I believe the answer to this question is: 3/2 simplified to 1  1/2.

Answer:

A dilation with a scale factor greater than 1 and then a translation.

Answer:

A

Step-by-step explanation:

You are correct. The scale factor is 1/5 = 0.2

Nice work.

Since 9 is 3², each digit in base nine takes two digits in base 3.

2₉ = 02₃

6₉ = 20₃

7₉ = 21₃

1₉ = 01₃

Putting it together

2671₉ = 2202101₃

Answer:

The answer is that 5x to the third times 6 is 30x³

Step-by-step explanation:

Let's answer the question, this way:

5x to the third = 5x³

5x³ times 6 = 5x³ * 6 = 30x³

The answer is that 5x to the third times 6 is 30x³

I believe it would be (5 x 600)+(5x80) = 3400

Answer:

The slope is 0

Step-by-step explanation:

This is a horizontal line, and all horizontal lines have a slope of 0.

(to see why, just pick any two points, and work out the change in x over the change in y. i.e. rise/run.  Since the y coordinates are all equal to 2, the numerator will be 2 -2, meaning the fraction is 0).

The slope is 0. This is because the line is horizontal. Any horizontal line has a slope of 0. Please tell me if you understand! I hope this helps!

Without the markup percentage or discount percentage, it is impossible to calculate the actual cost price the store paid for the trumpet. One needs this additional information to provide a precise answer.

The question "if the price tag on a trumpet says $104, how much did the store pay for it" cannot be answered with the information provided. To calculate how much the store paid for the trumpet, we need additional details such as the markup percentage or the discount percentage. Retail stores typically apply a markup to the cost of the goods they purchase from suppliers to cover their operating expenses and make a profit.

Let's assume the markup percentage is known. For example, if a store generally marks up items by 50%, and the selling price of the trumpet is $104, we can calculate the store's cost using the formula: Cost Price = Selling Price / (1 + Markup Percentage). So the cost would be $104 / (1 + 0.50), which is $69.33.

Without the markup or discount information, it is impossible to determine the exact cost price that the store paid for the trumpet.

Answer:

The side length of the square will be 11 cm.

Step-by-step explanation:

Tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle.

Her dog's neck has a circumference of about 32 cm. the folded bandana needs to be an extra 16 cm long so Tessa can tie it around her dog's neck.

So, the hypotenuse of the 45-45-90 triangle has a length of (32 - 16) = 16 cm.

As a 45-45-90 triangle is an isosceles right triangle with side length a cm (say), then

[tex]\sqrt{a^{2} + a^{2}} = 16[/tex]

⇒ 2a² = 16² = 256

⇒ a² = 128

⇒ a = 8√2 cm.

Therefore, the side length of the square will be 8√2 cm ≈ 11 cm. (Answer)

The side length of the square should be [tex]34cm[/tex] (to the nearest cm)

After folding the square cloth into a bandana, the diagonal has to be [tex]32cm+16cm=48cm[/tex] so that it can tie around the dog's neck.

Using Pythagoras' theorem, the relationship between the sides of the square cloth and the diagonal will be

[tex]diagonal=\sqrt{side^2+side^2}\\diagonal=side\sqrt{2}[/tex]

substituting and solving for the required side length, we get

[tex]48=side\sqrt{2}\\side=24\sqrt{2}\approx 34cm[/tex]

So, the required side length of the square is [tex]34cm[/tex] (to the nearest cm)

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Answer:

6.875

Step-by-step explanation:

Used a calculator to solve this one, it might be incorrect, i suggest doing some extra research on how to solve to see if you get this answer ;)

Answer:

See attachment

Step-by-step explanation:

We want to graph

[tex]y = 2 \cos(x) - 1[/tex]

on the interval (-2π, 2π)

First we graph

[tex]y = \cos(x)[/tex]

Then we stretch vertically by a factor of 2 and shift down 1 unit.

Since the amplitude is 2 and the graph is shifted down 1 unit, the range of the transformed graph is

[tex] - 3 \leqslant y \leqslant 1[/tex]

The graph is shown in the attachment

Answer:

The scale 150 metres : 1 centimeters is the map using.

Step-by-step explanation:

Given:

2 fields are 1,200 meters from each other.

On a map the 2 fields are 8 centimeters apart.

Now, to find the scale map is using.

Actual distance between the 2 fields = 1200 meters.

Distance in the map between the 2 fields = 8 centimeters.

So, to get the scale map is using we find the ratio:

[tex]Actual\ distance\ between\ the\ 2 fields/ Distance\ in\ the\ map\ between\ the\ 2 fields[/tex].

[tex]=\frac{1200}{8}[/tex]

[tex]=\frac{150}{1}[/tex]

[tex]=150\ meters:1\ centimeters[/tex]

Therefore, the scale 150 metres : 1 centimeters is the map using.

Answer:

The two congruent segments are EF and GF, and EH and GH.

Step-by-step explanation:

That being said, your answer is A because EF and GF are in fact congruent segments.

I hope this helps!

- sincerelynini

Answer:

29 1/3

Step-by-step explanation:

1/3 (4 + 18) 4

1/3 (22) 4

7 1/3 x 4

29 1/3

Twenty nine and one third is your answer.

Final answer:

The expression 1/3 (4+18) 4 evaluates to approximately 29.333 following the order of operations; first the addition inside the parentheses, then multiplication by 1/3, and lastly by 4.

Explanation:

When evaluating the expression 1/3 (4+18) 4, it's essential to follow the orders of operation, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication, and Division (from left to right), Addition and Subtraction (from left to right)). Let's break down the problem step by step:

Now, perform the multiplication: 22 * 4 = 88. Since we are multiplying by a division by 3 (22/3), it is the same as dividing 88 by 3, which gives us the final answer: 88 divided by 3 equals 29 with a remainder of 1, or as a decimal, approximately 29.333.

The correct answer to the expression 1/3 (4+18) 4 is therefore approximately 29.333. It is crucial to always follow the order of operations in any math problem to get the correct result.

Step-by-step explanation:

There are 3 people in total, Danielle and w of her friends. Since they paid $5 each they paid $15 in total for the 50 tickets. To find the price per ticket simply divide the total paid by the amount of tickets.

Price per ticket = 15.0÷50 = $0.30

Answer: Each ticket cost 0,3$

Step-by-step:

You have to divide 15 by 50 (15/50)

In this way you get the answer really quickly.

Hope I helped you!

Each ounce of milk contains 20 calories, because 200/10 = 20.

Answer:

slope = undefined

Step-by-step explanation:

for two points (x1,y1) (x2, y2)

slope, m = (y2 - y1)/(x2 - x1)

so, for (-1,-10) (-1,-2)

slope = (-2 - (-10))/(-1 -(-1)) = 8/0

slope = undefined

I hope this help you with what you need