A company orders 25 boxed lunches from a deli for $185. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?​

Answer:

x = 31.8

Step-by-step explanation:

From the picture attached,

By applying Pythagoras theorem in right ΔADC,

AC² = AD² + CD²

(22)² = AD² + (16)²

AD² = 484 - 256

AD = √228

     = 2√57

Now we apply Pythagoras theorem in right ΔADB,

AB² = AD² + DB²

x² = 228 + (44 - 16)²

x² = 228 + 784

x² = 1012

x = √1012

  = 31.81

  ≈ 31.8

The side x is an hypotenuse side to one of the right triangles formed by

altitude of the given triangle that has solid lines.

x is approximately 31.812

Reasons:

The figure shows a triangle with an altitude that forms two triangles inside

the main triangle.

By Pythagoras's theorem, we have;

For the right triangle on the left;

22² = h² + 16²

h² = 22² - 16² = 228

h² = 228

h = √228 = 2·√57

h = 2·√57

In the right triangle to the right, we have;

The length of the top base, b = 44 - 16 = 28

The square of the hypotenuse, x² = h² + b²

∴ x² = 228 + 28² = 1012

x = √(1012) = 2·√253

x = 2·√253 ≈ 31.812

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9 miles is approximately equivalent to 5.6 miles.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.

∴ 9 kilometers is equivalent to (9/1.6) miles.

= 5.6 miles.

learn more about the unitary method here :

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Answer:

29.4

Step-by-step explanation:

42%= 0.42

70*0.42=29.4

Answer:

Step-by-step explanation:

42 / 70 = 0.6 * 100% = 60%

Turn the percentage into a decimal.

42% = 0.42

Multiply.

70 * 0.42 = 29.4

Best of Luck!

Answer:

2.4 miles per second

Step-by-step explanation:

50 meters / 120 seconds = 2.4 mps

Answer: Angle 1 only

Vertical angles are angles formed when we cross two lines like this. They are opposite one another. The other pair of vertical angles are angle 2 and angle 3.

Answer:

5:8

Step-by-step explanation:

Answer:

its D 162

Step-by-step explanation:

First, subtract 12 by 18 to find the length that gives you 6 then do 6x9 to find the area of the square then divide by 1/3 to find the triangle

Answer:

X = -4 1/3 or -4.333 or -13/3

Step-by-step explanation:

2(x+5) = 5x+23

2x + 10 = 5x+23

2x-2x + 10 = 5x-2x +23

10 = 3x + 23

10-23 = 3x + 23-23

-13 = 3x

-13/3 = 3x/3

x = -4 1/3 or -4.3333

Answer:

X =[tex]-\frac{13}{3}[/tex] or -4.3 ( with a line above the 3)

Step-by-step explanation:

I showed how to do it in the image attached.

Hope this helps

Answer:

C

Step-by-step explanation:

Only C is a polynomial function.  It is recognizable as such by the positive, integer power x^4.  The others have negative powers, which eliminates them.

Answer:

(7i^17+42.628%*1037)(437^2-281i)^19

Step-by-step explanation:

Itll all make sense

M e e e e e ??

Hope you have a great day!

Answer:

3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00

Answer :

13.25 x 64

=848

Answer:

453x  ^64 /4

​

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

10 to the 2nd power is 100

100 x 1.5=150

9514 1404 393

Answer:

  a) base: 29.4377 cm

  b) hypotenuse: 30.7827 cm

  c) area: 132.470 cm²

  d) perimeter: 69.2204 cm

Step-by-step explanation:

a) The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(17°) = (9 cm)/base

  base = (9 cm)/tan(17°) = 29.4377 cm

__

b) The sine relation could be used in the same way to find the hypotenuse:

  hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm

However, we're instructed to use the Pythagorean theorem. So, we have ...

  hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm

__

c) The area is half the product of the base and height:

  A = 1/2bh

  A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²

__

d) The perimeter is the sum of side lengths:

  P = base + hypotenuse + height

  P = (29.4377 +30.7827 +9) cm = 69.2204 cm

Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

A) there are 18 total, 6/18 is 1/3

B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9

Answer:

the answer is 42 i think

Step-by-step explanation:

Answer:

i think she right (42) but i dont kno wwww

Step-by-step explanation:

The answer should be 60 if im correct.

Answer:

15ab

Step-by-step explanation:

if the AB is capital on purpose then its 15a^2b over AB

Answer:

Answer is C. not 95.

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

<AIN is equal to <FIL because they are vertically opposite.

Answer:

54x

Step-by-step explanation:

The equation y = 45 models the saving.

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

Given the graph of the equation.

Note that the graph passes through points (0,0) and (2,90).

The slope of the line is:

m = (90 - 0)/(2 - 0)

m = 45

The equation of the line with a slope of m = 45 and passes through (0,0) is:

y -0 = 45(x - 0)

y = 45x

Hence, the equation y = 45 models the saving.

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Answer:

16.4722222222

Step-by-step explanation:

The quotient and remainder should be 16 and 17 respectively.

Given that,

The division result in the division operator is

Now the remainder should be

Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.

Learn more about the division here: brainly.com/question/21416852

Answer:

9x² - 6x

Step-by-step explanation:

Answer:

9x² - 6x

Step-by-step explanation:

Answer:

6 -5 -4 -3 -2 -1 0 1 2

Step-by-step explanation:

Answer:

X=42

Step-by-step explanation:

when the question says that ABCD ~ EFGH that's just saying that they are equal.

AB = 16   FE = 10   the first shape has sides that are 6 longer than the second shape.

next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).

i hope thought this out right for you, and hope that helps. :)

Answer:

150

Step-by-step explanation:

x/5=30

x=30*5

x=150

Hoped this helped!

Step-by-step explanation:

x/5 = 30

5 × x/5 = 5 × 30

x = 5 × 30

x = 150

Answer:

m9 = 115

m4 =110

m10=65

m11= 70

m8= 70

m5 = 65

m3 = 70

m14 = 115