The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.

Reasons:

The given parameters are;

Height of the fence = 12 foot

Length of the shadow cast by the fence = 25 foot

Distance of the house from the property line = 60 feet

The maximum allowable height for the house.

Solution:

Using similar triangles, we have;

[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]

Which gives;

[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]

[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]

The height of the house = 28.8 feet

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https://brainly.com/question/10269775

Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.

Answer:

$11.16 - $0.68 = $10.48 - price of four cards without tax

$10.48 : 4 = $2.62 - price of one card without tax

Cheers!

Answer:

the cost of each card including sales tax is 2.79

the cost of each card without sales tax is

11.16-0.68=10.48

10.48÷4=2.62

Step-by-step explanation:

Answer:

Step-by-step explanation:

correct.

Answer:

  see attached

Step-by-step explanation:

The requested plot is only for that portion of the line that exists between the two points shown.

Answer:

w/11+10=10w/11=0•w=10

Answer:

(x-7)(x^2-5)

Step-by-step explanation:

The sum of the lengths of two sides of a triangle cannot be less than the length of the third side.

So,

3.9cm, 19cm, 10cm

Answer:

Diagram number 3 is not a function.

Step-by-step explanation:

It isn't a function because C goes to 2 different numbers.

Explanation:

For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.

The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.

Answer:

Just multiply over here

1/2 *20

1/2 * 20/1

20/2

10

answer is 10

Answer:

10

Step-by-step explanation:

multiply (1/2) by 20

10

Answer:

Hello is this math i can help you with your answer

Answer:

x=10/3, y=6

Step-by-step explanation:

since t and s intersect, we have 2/4 = 3/y, cross multiply to get 2y=12 so y=6

we also have 2/x=3/5 because a and b are parallel, cross multiply to get 3x=10, so x=10/3

Answer:

Step-by-step explanation:

Answer:

750 meters

Step-by-step explanation:

120 meters/4 seconds = 30 meters per second

30 meters per second * 25 seconds = 750 meters

(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)

Answer:

x = 750 m

Step-by-step explanation:

Write and solve a equation of ratios:  

  120 m          4 sec

-------------  =  -------------

       x              25 sec

Inverting this equation yields

      x             25 sec

-------------- = -------------

  120 m          4 sec

Cross-multiplication yields (4 sec)x = (120 m)(25 sec).  This yields:

      3000 m-sec

x = --------------------  = 750 meters

           4 sec

Note that the same result can be obtained by multiplying (120 m) by (25/4).

Answer:

88 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, then

180° (n - 2) = 15480° ( divide both sides by 180° )

n - 2 = 86 ( add 2 to both sides )

n = 88

Answer:

2

Step-by-step explanation:

when you add -6 and 8 you'll get 2

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]m = 2[/tex]

Step-by-step explanation:

[tex]0 = 12 + 2(m - 8)[/tex]

[tex]0 = 12 + 2m - 16[/tex]

[tex]0 = - 4 + 2m[/tex]

[tex] - 2m = - 4[/tex]

[tex] = m = 2[/tex]

[tex] \: \: \: [/tex]

Answer:

m = 2

Step-by-step explanation:

0 = 12 + 2 ( m - 8 )

→ Expand the brackets

0 = 12 + 2m - 16

→ Add 16 to both sides

16 = 12 + 2m

→ Minus 12 from both sides

4 = 2m

→ Divide both sides by 2

2 = m

Answer:

5. 8 months

6. 13 pencils

Answer:

-2

Step-by-step explanation:

rise over run is 2/1 and y is decreasing as x is increasing so its negative

Answer:

18

Step-by-step explanation:

Total=70.

Last week she posted= 2/5 of 70= She posted 28 last week

So, 42 left

then, she posted 4/7 of remaining (42)

4/7 of 42 is 24

42-24= 18

She still needs to post 18 flyers

HOPE THIS HELPS!

Answer:

OK, so she started with 70 fliers.

Last week, she posted 2/5 of them. 2/5 of 70 is equal to 28, so she has 28 fliers less than she started with. 70-28=42.

This week, she posted 4/7 of the remaining fliers (42). 4/7 of 42 is equal to 24. So, she has 24 less than 42, so 42-24=18.

She still needs to post 18 fliers.

Hope this helps!!!

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given parallelogram ABCD :

∠A = ∠C

3x = 120

x = 120 ÷ 3

∠B + ∠C = 180°

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60 ÷ 2

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given the diagram of a parallelogram, where:

∠A = 3x°, ∠B = 2y°, and ∠C = 120°

The given problem also requires us to find the values of x and y.

In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles.  In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.

Hence, we can establish the following equality statement to solve for the value of x:

m∠A = m∠C

3x° =  120°

Divide both sides by 3 to solve for x:

[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]

x = 40°

Therefore, the value of x = 40°.

In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.

In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.  

We can establish the following equation to solve for the value of y:

m∠B + m∠C = 180°

2y° + 120° = 180°

Subtract 120° from both sides:

2y° + 120° - 120° = 180° - 120°

2y° = 60°

Divide both sides by 2 to solve for y:

[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]

y = 30°

Therefore, the value of y = 30°.

Answer:

Uh not me but I don't think you should leak your schools name...

Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of [tex]\frac{15}{32} ,\frac{7}{31}[/tex] In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

[tex]-\frac{15*31}{32*31} +\frac{7*32}{31*32}[/tex]

3) Simplify. Denominators are now the same.

[tex]-\frac{465}{992} +\frac{224}{992}[/tex]

4) Join the denominators.

[tex]\frac{-465+224}{992}[/tex]

5) Simplify

[tex]-\frac{241}{992}[/tex]

Decimal Form: -0.242944

Answer:

y < -7

Step-by-step explanation:

add 4 to both sides to get y<-7

Answer:

add 4 to both side

y-4+4>-11+4

y>-7

Answer:

56

Step-by-step explanation:

Answer:

x= -9.25

Step-by-step explanation:

5x - 14 = 3(3x + 6) + 5

5x - 14 = 9x + 18 + 5.......distribute

-4x = 37.............move values and combine like terms

x= -9.25.............divide both sides by -4

90

Step-by-step explanation:

because it has a parallel line

Answer:

(0,16)

Step-by-step explanation:

Hi there!

The y intercept is the value in which the parabola passes through the y axis

Therefore, the value of x at the y intercept is 0

So to find the value of the y intercept, substitute x as 0 in the equation.

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

If x=0, then:

y=(2(0)-3)^2 + 7

Multiply

y=(0-3)^2 + 7

Subtract 3 from 0

y=(-3)^2 + 7

Raise -3 to the second power

y= 9 + 7

Add 9 and 7 together

y = 16

So the y intercept is the point (0,16)

Hope this helps!

Answer: Should be 90

Step-by-step explanation:

Answer: 9/20

Step-by-step explanation:

Answer:

9/20

Explanation:

0.45

Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.

Simplify the fraction. Divide both the numerator and the denominator by 5.

9/20

Hope this helps! :)