The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a year is 193 . The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15 . Thirty more​ restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of​ restaurant-purchased meals eaten in a​ restaurant, the number eaten in a​ car, and the number eaten at home.

Answers

Answer 1

9514 1404 393

Answer:

89 in a restaurant45 in a car59 at home

Step-by-step explanation:

Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...

  r + c + h = 193

  -r + c + h = 15

  r + 0c -h = 30

Add the last two equations:

  (-r +c +h) +(r -h) = (15) +(30)

  c = 45

Add the first two equations:

  (r + c + h) +(-r + c + h) = (193) +(15)

  2c +2h = 208

  h = 104 -c = 59 . . . . solve for h, substitute for c

The last equation can be used to find r.

  r = 30 +h = 30 +59 = 89

89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.


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Simplify the complex number √-16+8.

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Answer:

[tex]\sqrt{-16} +8[/tex]

[tex]=4i+8[/tex]

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Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.

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Answer:

g(x) = -2(x - 6) - 7

Step-by-step explanation:

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Answer:

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Answer:

x = 12

Step-by-step explanation:

The sum of the two smaller angles is 140

80+5x = 140

Subtract 80 from each side

80+5x-80 =140-80

5x = 60

Divide each side by 5

5x/5 = 60/5

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Find X
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Answer:

x=437.3 ft

Step-by-step explanation:

cos(29)=B/H, cos(29)=x/500. x=437.3 ft

Find the missing length indicated

Answers

Answer:

x = 240

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)

x² = 144 × 400 = 57600 ( take the square root of both sides )

x = [tex]\sqrt{57600}[/tex] = 240

x = 240

Using Pythagoras' theorem on the 3 triangles of sides (as shown in the graphic - the 2 smaller inner triangles and the large main triangle) it can be shown that the height is the square root of the product of both segments of the baseline.

let's call the 2 segments p and q.

p+q = 400

p = 144

q = 400 - 144 = 256

so, as said before, height = sqrt(p×q) = sqrt(144×256) = 192

now the main Pythagoras with the smallest triangle to get x

x² = 192² + 144² = 36864 + 20736 = 57600

x = 240

now, FYI, why is that formula true ?

as we said, we called the segments of the long baseline p and q.

then we can the sides of the main triangle x and y.

and the height is simply h.

so, then we have for the main rectangular triangle

(p+q)² = x² + y²

and for the 2 smaller triangles

x² = p² + h²

y² = q² + h²

=>

p² +2pq + q² = p² + h² + q² + h²

2pq = 2h²

h² = pq

h = sqrt(pq)

and there you have it. just as simple as that.

BRAINLIST!! 20 POINTS! PLEASE HELP ILL FAIL IF I DONT PASS THIS TEST!!!
What type of counting problem is this?
How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?
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Answer:

the third one: Combination with repetition

Step-by-step explanation:

it says there are any number of pennies, nickels, dimes, and quarters, so there is repetition. the order doesn't matter because it asks for the different sums, so it's a combination with repetition

"How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?" is a Combination with repetition problem.

What is combination with repetition?

A combination with repetition involves a multiset. A multiset allows elements to be repeated unlike an ordinary set.

Number of ways to select r things from n possibilities: C (n + r − 1, r)

Since he can choose any coin any number of time, repetition is there. Also, order in which coins are chosen is not important, thus it is a combination.

Therefore, the third option is correct. This is a combination with repetition problem.

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Answer:

the correct answer is C

Step-by-step explanation:

first step you change the x and y powers to the square root(showing in the pic).

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Answer:36

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Which statement best describes the function h(t) = 210 - 15t?
Oh is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable.
O h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
O t is the function name; h(t) is the input, or independent variable; and h is the output, or dependent variable.
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Answers

Answer:

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

The explanation is in the answer.

h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

The given function is h(t) = 210 - 15t

The function is named h, and it takes an input value t (the independent variable) and produces an output value 15t (the dependent variable).

The function is often written as h(t) = 15t to make it clear that h is a function of t.

Hence, h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

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26a)729

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Change to percent form

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Step-by-step explanation:

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Answer:

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SAS

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Step-by-step explanation:

We know that two sides are equal

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B. =35ft

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

Answer:

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Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

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Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2}

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Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

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Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

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Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

The graph of h(x) = (x - 3)2 is a translation of the
graph of f(x) ….. blank
by
…. Blank units.

Answers

Answer:

right by 3 I think

Step-by-step explanation:

Answer: Right by 3 Units

Step-by-step explanation:

Right on edge 2021

In ΔRST, m∠R = 92° and m∠S = 71°. Which list has the sides of ΔRST in order from shortest to longest?

Answers

Answer:

RS, RT, ST

Step-by-step explanation:

We require the third angle in the triangle

∠ T = 180° - (92 + 71)° = 180° - 163° = 17°

The shortest side is opposite the smallest angle

∠ T = 17° → opposite side RS

The longest side is opposite the largest angle

∠ R = 92° → opposite side ST

Then sides from shortest to longest is

RS, RT, ST

which kind of triangle is shown.
1. obtuse isosceles
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4. right scalene

Answers

Answer: 2, acute equilateral

Step-by-step explanation:

the image shows a triangle with all 3 sides congruent and 3 acute angles

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