Tutoria
3
2
In a direct variation, y = when x =
4
relationship between x and y.
Write a direct variation equation that shows the
Write your answer as an equation with y first, followed by an equals sign.

Answer:

$167.20

Step-by-step explanation:

0.18 x 130 = $32.4 (this is what they tipped)

the total now stands at $153.4 before tax

now to work out the tax you multiply the decimal of 9% by $153.4

0.09 x 153.4 = 13.8

the total cost of the meal is $167.20

The total cost of the bill will be equal to $167.20

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Ryan went to lunch with his family. The cost of their meal was $130. They left a tip of 18% on the $130 and paid the sales tax of 9% on the bill.

The total cost of the bill will be calculated as,

0.18 x 130 = $32.4 (this is what they tipped)

The total now stands at $153.4 before tax now to work out the tax you multiply the decimal of 9% by $153.4

0.09 x 153.4 = 13.8

The total cost of the meal is,

153.4 + 13.8 = $167.20

Therefore, the total cost of the bill will be equal to $167.20

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Answer:

28x - 16

Step-by-step explanation:

multiply in the brackets

5 × 5x = 25x, 5 × -2 = -10, 3 × x = 3x, 3 × -2 = -6

25x - 10 + 3x - 6

simplify by collecting like terms

25x + 3x = 28x

-10 - 6 = -16

final answer = 28x - 16

Answer:

this is the answer to the question

Step-by-step explanation:

y=21.6

Answer:y=21.6

Step-by-step explanation:

Since it is an isosceles triangle

3y+12+2(y+30)=180

3y+12+2y+60=180

5y+72=180

5y=108

y=21.6

Answer:

10 tickets total

Step-by-step explanation:

you would buy 2 tickets for 12 dollars and 8 tickets for 7 dollars therefore 10 tickets is the answer

Answer:

[tex] \frac{11}{20} [/tex]

Step-by-step explanation:

*0.45 can be put over 1. (All decimals can)

Multiply the numerator and denominator by 100, then simplify:

[tex] \frac{0.45 \times 100}{1 \times 100} = \frac{45 \div 5}{100 \div 5} = \frac{9}{20} [/tex]

Multiply both fractions:

[tex] \frac{9}{20} \times \frac{11}{9} = \frac{99}{180} [/tex]

Simplify:

[tex] \frac{99 \div 9}{180 \div 9} = \frac{11}{20} [/tex]

Your product is 11/20.

Answer:

the answer is X.

Step-by-step explanation:

the line is located where it hits the most points on the graph.

Answer:

area of the path = 96 m²

Step-by-step explanation:

See attached diagram.

The green square is the square plot of side 10 m.

The grey is the path of width 2 m running around the outside of the square.

The easiest way to calculate the area of the path is to work out the entire area of the path and square plot, then subtract the area of the green square from it.

Area of a square = (side length)²

Area of green square = 10² = 10 x 10 = 100 m²

We are told that the width of the path is 2 m, so the side length of the square incorporating the path AND the green square will be:

side length of green square + 2 + 2 = 10 + 2 + 2 = 14 m

Therefore, entire area = 14² = 14 x 14 = 196 m²

To find the area of the path only:

entire area - area of green square = 196 - 100 = 96 m²

So the area of the path is 96 m²

Answer:

2.4 pints

Step-by-step explanation:

12x0.2=2.4

The period of the tangent function is given by:

b) 2pi

It is the distance between the repetition of the function. If a function is defined on an interval and said to be periodic, the period is the length of the interval.

In this problem, the interval is [tex][-\pi, \pi][/tex], and after that the values will start repeating, hence the period is:

[tex]p = \pi - (-\pi) = 2\pi[/tex]

Thus option b is correct, as the period is of [tex]2\pi[/tex].

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Answer:

b) because it's in descending exponent order

Step-by-step explanation:

Answer:

x = 110°

Step-by-step explanation:

Triangle ABD is isosceles, with two 35° angles

angle x = (180-35-35)° = (180-70)° = 110°

Hope this helps

Answer:

It is 6.59

Step-by-step explanation:

I'm not really sure but hope it helps<33

A realistic domain for this situation is t = 0, 1, 2, 3, ... and consists of non-negative whole numbers representing the number of years after the motorcycle was purchased.

In the context of the situation, the domain represents the possible values for the number of years (t) for which the motorcycle's value is being calculated. Since the value of the motorcycle drops by 11% each year, it is reasonable to consider a domain that represents a finite number of years and includes only positive integers.

Typically, when modeling the depreciation of an asset like a motorcycle, it is reasonable to assume that the number of years (t) is a non-negative whole number (i.e., t = 0, 1, 2, 3, ...). The value at t = 0 represents the initial value of the motorcycle, and then each subsequent year represents the value after one more year of depreciation.

So, a realistic domain for this situation is t = 0, 1, 2, 3, ... and consists of non-negative whole numbers representing the number of years after the motorcycle was purchased.

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Answer:

m∠1 = 67

Step-by-step explanation:

Answer:

Direction

Step-by-step explanation:

Multiplying a vector by a positive scalar numbers impacts its horizontal and vertical components by the same proportional amount, but doesn't change its direction.

Answer:

Here are the solutions

Hope This Helps!!!

Answer:

B' (1, 2 )

Step-by-step explanation:

Since the centre of dilatation is the origin then multiply the coordinates of B by the scale factor.

B (4, 8 ) → B' (4 × [tex]\frac{1}{4}[/tex] , 8 × [tex]\frac{1}{4}[/tex] ) → B' (1, 2 )

Answer:

1, 2

Step-by-step explanation:

When dealing with 1/4 scale factor, you just divide each point applicable by 4. Therefore:

(4, 8) > (1, 2)

Answer: I think

Step-by-step explanation: How to solve your problem

2

5

=

1

\frac{2}{5}x=1

Solve

1

Combine multiplied terms into a single fraction

2

5

=

1

\frac{2}{5}x=1

2

5

=

1

\frac{2x}{5}=1

2

Multiply all terms by the same value to eliminate fraction denominators

2

5

=

1

\frac{2x}{5}=1

5

⋅

2

5

=

5

5 \cdot \frac{2x}{5}=5

3

Cancel multiplied terms that are in the denominator

5

⋅

2

5

=

5

5 \cdot \frac{2x}{5}=5

2

=

5

2x=5

4

Divide both sides of the equation by the same term

2

=

5

2x=5

2

2

=

5

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{5}{{\color{#c92786}{2}}}

5

Simplify

Cancel terms that are in both the numerator and denominator

=

5

2

x=\frac{5}{2}

Solution

=

5

2

x=\frac{5}{2}

Answer:

scale factor = 5

Step-by-step explanation:

to get from for the model to the bridge, you use a scale factor of 5.

6 * 5 =30

7*5=35

8*5=40

Step-by-step explanation:

the expression of 15 decreased by n =15-n

Answer:

there arent

Step-by-step explanation:

Δ is negative

Answer:

23/5

Step-by-step explanation:

9 3/5=48/5

48/5-5

48/5-25/5

23/5

Answer:

Y=2x+2

Step-by-step explanation:

Answer:

1) a=24

2) a=7[tex]\frac{27}{56\\}[/tex]

3) a=3/4

4) a=1[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

A regular hexagon has 6 congruent sides.

The dimension of the rectangle is 8 inches by [tex]4\sqrt 3[/tex] inches

Start by calculating the value of x using the following cosine ratio

[tex]\cos(60) = \frac{x}{4}[/tex]

Make x the subject

[tex]x = 4 * \cos(60)[/tex]

Evaluate cos(60)

[tex]x = 4 * 0.5[/tex]

[tex]x = 2[/tex]

So, the dimension of the rectangle is:

[tex]Length = 2x + 4[/tex]

[tex]Width = 2x\sqrt 3[/tex]

This gives

[tex]Length = 2 * 2 + 4[/tex]

[tex]Length = 8[/tex]

[tex]Width = 2 * 2\sqrt 3[/tex]

[tex]Width = 4\sqrt 3[/tex]

Hence, the dimension of the rectangle is 8 by [tex]4\sqrt 3[/tex]

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Answer:

30 centimeters

Step-by-step explanation:

120 ÷2 =60 now you must use only .5 of that number so you have thirty