Please help !!!!!!!!

The total number of restaurant purchased meals that the average person will eat in a restaurant, and a car, or at home in a year

Andrei [34K]

Answer:

80 restaurant purchased meals are eaten in a restaurant

31 meals are eaten in a car

60 meals are eaten at home

Step-by-step explanation:

Let us suppose r be the total number of meals eaten in a restaurant

Let us suppose c be the total number of meals eaten in a car

Let us suppose h be the total number of meals eaten in a home

The total number of meals eaten in a restaurant, in a car or at home is given as 163. Hence, $r + c + h = 171.....[A]$
The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Hence, $c + h = r + 11.....[B]$
Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Hence, $r = h + 20.....[C]$

Substituting Equation [B] into [A],

$r + c + h = 171.....[A]$

$r + r + 11 = 171$

$2r + 11 = 171$

$2r = 160$

$r = 80$

Putting $r = 80$ in $r = h + 20.....[C]$

$80 = h + 20$

$h = 60$

Putting $r = 80$ and $h = 60$ in $r + c + h = 171.....[A]$

$80 + c + 60 = 171$

$c = 171 - 60 - 80$

$c = 31$

Therefore,

80 restaurant purchased meals are eaten in a restaurant

31 meals are eaten in a car

60 meals are eaten at home

Verification:

$r + c + h = 171$

Putting $r = 80$ , $c = 31$ and $h = 60$ in $r + c + h = 171$

$80 + 31 + 60 = 171$

$171 = 171$

<em>Keywords: number, equation</em>

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5 0

3 years ago

What is the standard deviation of the data? 0.5 1.5 2.0 2.5

vesna_86 [32]

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = $\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}$

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = $\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}$

Solving:

= $\frac{1.265625+0.015625+0.140625+0.765625}{4}$

= $\frac{2.1875}{4}$

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

$\sqrt{0.546875}$

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

4 0

2 years ago

In the opposite figure :

ahrayia [7]

Answer:

(a) 78

Step-by-step explanation:

The sum of arcs of a circle is 360°. The measure of θ is the average of the measures of arcs BD and AC.

AC +AD +BD +100 = 360

(2BD) +(2BD) + BD = 260 . . . . use the given relation for AC, AD; subtract 100

BD = 52 . . . . . . . . . . . . . . . . . divide by 5

θ = (AC +BD)/2 = (2(52) +52)/2 = 52 +26

θ = 78 . . . . degrees

5 0

3 years ago

Question 1 (1 point)

Natalija [7]

Answer: OPTION B.

Step-by-step explanation:

Given the equation $48=-8(\frac{3b}{4}+2)$ you can find an equivalent equation by simplifying it.

You need to remember the multiplication of signs:

$(-)(-)=+\\(+)(+)=+\\(+)(-)=-$

Now you can apply the Distributive property:

$48=\frac{(-8)(3b)}{4}+(-8)(2)\\\\48=\frac{-24b}{4}-16$

Simplifying the equation, you get:

$48=-6b-16$

You can observe that this equivalent equation matches with the equation provided in option B.

5 0

3 years ago

Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Ch

icang [17]

Answer:

Check Explanation

Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

For this Pythagorean triple,

Hyp = hypotenuse side = 29

Adj = Adjacent side = 20 or 21, depending on the triangle's setup.

If the adjacent is 20,

Cos α = (20/29), option A is correct.

If the adjacent is 21,

Cos α = (21/29), option C is correct.

Hope this Helps!!!

7 0

3 years ago