The first side of a triangle is 3 m shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 27 m. Find the length of the 1st side.

Answer: the original price of the ticket was $42

Step-by-step explanation:

[tex]Let's\ make\ a\ proportion:[/tex]

$44.92 - 107%

     $x   - 100%

[tex]\displaystyle\\x=\frac{44.92*100}{107} \\\\x=\frac{4492}{107} \\\\x=42[/tex]

The investor should expect $1716.24375 at the end of 15 years .

Formula for calculation of Simple Interest :

Simple Interest = ( Rate * Principal * no . of years ) / 100 , when no additional investment is made .

Here , principal = $1760.25 , rate = 6.5 , no . of years = 15 .

Substituting values in formula above ,

SI = ( 6.5 * 1760.25 * 15 ) / 100

     = 1716.24375

Hence , the investor should expect $1716.24375 at the end

of 15 years .

To learn more on simple interest follow link :

https://brainly.com/question/25793394

#SPJ9

One is a constant, as it has no variable besides it.

Answer: The input is a contradiction: it has no solutions

1st step

4m - 4 = 4m

4m - 4 + 4 = 4m + 4

2nd step -

4m = 4m + 4

3rd step -

4m = 4m +4

4m - 4m = 4m + 4 - 4m

4th step -

Combine like terms

0 = 4

Has No Solutions.

The total amount that you need to pay for the lunch after the sales tax and the tip will be $ 42.85.

We are given that:

The cost of lunch = $ 32

Sales tax = $ 4.45

Tip = 20 %

So, the tip will be calculated by finding the percentage of cost that you are planning to pay has a tip.

Tip = 20 % of $ 32

Tip = 20 / 100 × $ 32

Tip = 0.2 × $ 32

Tip = $ 6.4

Total amount needed to be paid for the lunch = $ 32.00 + $ 4.45 + $ 6.40

Total amount = $ 42.85

Therefore, we get that, the total amount that you need to pay for the lunch after the sales tax and the tip will be $ 42.85.

Learn more about percentage here:

https://brainly.com/question/843074

#SPJ9

Answer:

|(10)-19| = |-9| = 9

Step-by-step explanation: Just plug it in. Oh btw the absolute value means distance from 0.

Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .

Describe the trapezoid shape.

A quadrilateral with one set of parallel opposite sides is referred to as a trapezoid. It can have congruent sides (isosceles) and right angles (a right trapezoid), but neither is necessary.

Step 1 - Draw line DP.

Step 2 - Use a protractor to create a 50° angle with DP'.

Step 3 - Use a ruler to draw D such that DP' = DP

Step 4 - Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .

Learn more about trapezoid

brainly.com/question/8643562

#SPJ4

Answer:

$1.50

Step-by-step explanation:

there are 5 burgers since 2+3 is five. Divide 7.50 by five. The answer is 1.50.

$1.50

Because 2+3=5 and once you 7.5÷5 it equals 1.5.

Answer:

4[tex]x^{2}[/tex]

Step-by-step explanation:

1st seperate the equation

[tex]\sqrt{16}[/tex] and [tex]x^{2}[/tex]

square root of 16 is 4, and x squared stays the same, so the equation becomes

4[tex]x^{2}[/tex]

Answer:

[tex]1) \: {2}^{3} \\ 2) \: {3}^{6} \\ 3) \: {4}^{4} = 4 \times 4 \times 4 \times 4 = 256[/tex]

Answer: -561.6

Step-by-step explanation:

First, recall PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)

In the equation, we need to work through (2.5 - |-3 1/8|) first.

The absolute value of |-3 1/8| is 3 1/8

We change 3 1/8 to a decimal

3 1/8 = 3.125

Now Subtract (2.5 - 3.125)

This equals -0.625

Next, divide 13 by -0.625

13 ÷ -0.625 = -20.8

Then, multiply -20.8 by 3³

3³ = 27

So -20.8 × 27 = -561.6

Probability that either his partner or the pile have the joker from the deck of 43 cards including one joker ,four players each have 10 cards and 3 cards in a pile is 13/33.

As given,

Total number of cards=43

Number of cards with each players =10

Number of cards in a pile =3

Greg doesn't have joker

Total cards left = 43-10

                       = 33

Probability either his or the pile have the joker = (10 +3)/33

                                                                         = 13/33

Therefore, probability that either his partner or the pile have the joker is 13/33.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer: 8 dollars and 10 cents

Step-by-step explanation:

5.40 divided by 12 = .45

This means that each juice costs 45 cents

.45x18=8.10

Answer:

$8.10

Step-by-step explanation:

$5.40/12=$0.45 $0.45*18=$8.10

Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.

The formula used in converting temperature from Kelvin to Fahrenheit is expressed as;

(( x - 273.15 ) × 9/5 + 32)°F

Also, to convert temperature form Kelvin to Celsius, we use;

( x - 273.15)°C

Given that;

Convert 1 Kelvin to degrees Fahrenheit.

(( x - 273.15 ) × 9/5 + 32)°F

(( 1 - 273.15 ) × 9/5 + 32)°F

( 272.15 × 9/5 + 32)°F

( -489.87 + 32)°F

-457.87°F

Convert 1 Kelvin to degrees Celsius.

( x - 273.15)°C

( 1 - 273.15)°C

272.15°C

Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.

Learn more temperature conversion units here: https://brainly.com/question/13421795

#SPJ1

Answer:

$805.32

Step-by-step explanation:

$116.20 + $494.85 + $194.27 = $805.32

He had $805.32 to start.

Answer:

(36^7+6^13) is divisible by 7.

Step-by-step explanation:

(36^7+6^13)

First, solve the parentheses and exponents within it.

36^7=36*36*36*36*36*36*36=78364164096

6^13=6*6*6*6*6*6*6*6*6*6*6*6*6=13060694016

Add 78364164096 and 13060694016.

It equals 91424858112.

Divide 91424858112 by 7.

It results in 13060694016.

Hence, yes.

Hope this helps.

Step-by-step explanation:

or, 55° = (4x - 1)° [ vertically opposite angle ]

or, 55° + 1° = (4x)°

or, 56° = (4x)°

or, 56°/4° = x

or, x = 14°

Therefore the value of x is 14° .

Answer:

Step-by-step explanation:

93959453

In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

In the given statement is

Solve 2x + 5y = -1 for y.

To find the value of y when x= -2

Now, Equation is 2x + 5y = -1 …..(1)

Put the value of x = -2 in eq. 1

2 (-2) + 5y = -1

-4 + 5y = -1

5y = -1 + 4

y = 3/5

Again,  Solve 2xy - x = 3 for y

To find the value of y when x = 2

Now, Equation is : 2xy - x = 3 ….(2)

Put the value of x = 2 in eq. (2)

2(2)y - 2 = 3

4y - 2 = 3

4y = 5

y = 5/4

Hence, In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

Learn more about Value of y at :

https://brainly.com/question/21486464

#SPJ1

Answer:

g + h = 6

Step-by-step explanation:

We are told that:

• [tex]g + 9 = 4[/tex]

• [tex]h- 8=3[/tex].

To calculate the value of g + h, we have to rearrange the above equations to make g and h their respective subjects:

• [tex]g + 9 = 4[/tex]

⇒ [tex]g + 9 - 9 = 4 - 9[/tex]        [Subtracting 9 from both sides]

⇒ [tex]g = \bf -5[/tex]

• [tex]h- 8=3[/tex]

⇒ [tex]h - 8 + 8 = 3 + 8[/tex]        [Adding 8 to both sides]

⇒ [tex]h = \bf 11[/tex]

Now that we know the values of g and h, we can find the value of g + h:

[tex]g + h[/tex]

[tex]= -5 + 11[/tex]

[tex]= \bf 6[/tex]

Therefore the value of g + h is 6.

 The equation that defines the parabola with vertex at the point and focus at (0, 1/2) is

y = 2x²

  The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

  The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

In this case we have the vertex of the parabola at the point (0,0) and the focus at the point (0,  1/2) this is displaced on the y-axis upward, so the parabola is of the form.

y = x²

  Canonical equation

(y - yo) = 4p(x - xo)

Focus:
f = (0, 0 + p)

(y- 0) = 4*0.5(x - 0)²

y = 2x²

Learn more about parabolas in:

https://brainly.com/question/11780596

#SPJ4

Answer:

m = undefined

Step-by-step explanation:

I'm assuming it's "m" as in y=mx+b

(18, -7), (18, 2)

(x₁, y₁)    (x₂, y₂)

       y₂ - y₁          2 - (-7)           9

m = -----------  =  ------------  =  ----------  =  undefined

        x₂ - x₁          18 - 18            0

I hope this helps!

(5 , -2)

Step-by-step explanation:

mid point = ( (X1 + X2)/2 , (Y1 + Y2)/2 )

= ( (8 + 2)/2 , (-7 + 3)/2 )

= (5 , -2)

Answer:its

a80

b16

c60

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. 5 × (7 + 2) = (5 × 7) + (5 × 2)

The categorization of each variable according to the group of numbers that best captures its values is shown below:

Any integer from 0 to n.

Any number from 0 to h.

To know more about variable, refer to the following link:

https://brainly.com/question/2264120

#SPJ4