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3 years ago

5

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.what is the solution s

et of this problem?

1 answer:

Tanya [424]3 years ago

5 0

5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

Answer: Choice B.

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Find the area of a rectangle with side lengths 3/5 inch and 5/6 inch

Helga [31]

Answer:

15/30 0r 1/2

Step-by-step explanation:

You multiply the fractions

8 0

3 years ago

An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides

Anastaziya [24]

Answer:

$C = 1000S + 500B$

Step-by-step explanation:

Given

$S = Banana\ Splits$

$B=Bacon\ Rolls$

Reading through the question, we have:

Number of calories per serving:

$S \to 1000$

$B \to 500$

Let

$x = Cholesterol$

$y =Sugar$

So, we have:

Each serving of S

$x \to 1S$

$y \to 3S$

Each serving of B

$x \to 4B$

$y \to 1B$

Recommendation

$x \to \le 10$ - i.e. not more than 10 units of cholesterol

$y \to \ge 2 \& \le 9$ i.e. At least 2units but not more than 9 units of sugar

So, the constraints are:

$S + 4B \le 10$

$3S + B \ge 2$

$3S + B \le 9$

Recall that the calories per serving is:

$S \to 1000$

$B \to 500$

Hence, the objective function is:

$C = 1000S + 500B$

5 0

3 years ago

(I WILL GIVE YOU BRAINLIEST) The area of a rectangle is 50m^2. Height is 5m, what is the perimeter? *Explain how you got the per

Verdich [7]

Answer:

Perimeter: 30

Step-by-step explanation:

So we know that to get the area we multiply the height by the width and we already know the area and height.

Area: 50

Height: 5

So to find the width, we just divide:

50/5 = 10

So now we have everything we need to find the perimeter. The perimeter is all the sides added up. So, 5+10+5+10 = 15+15 = 30

Hope this helps

4 0

3 years ago

Gabriel note sur une frise chronologique les événements familiaux importants. Il utilise des entiers positifs ou négatifs. Pour

taurus [48]

Answer:

L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.

Option B is correct.

The number 0 represents the year when Gabriel was born.

Step-by-step explanation:

Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.

Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.

J'espère que cela t'aides!!!

English Translation

Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:

A) The year when Gabriel's sister was born

B) The year when Gabriel was born

C) The year when Gabriel's mother received a medal

Solution

It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.

Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.

Hope this Helps!!!

4 0

3 years ago

Is the inverse of a symmetric matrix also symmetric?

Ahat [919]

Yes, the inverse of a symmetric matrix is also symmetric.

Take the symmetric matrix A, we have:

$AA^{-1} = I$

and

$I^{T} = I$

This gives:

$(AA^{-1})^{T} = AA^{-1}$

Using the properties:

$AA^{-1} = A^{-1}A$ and $(AA^{-1})^{T} = (A^{-1})^{T}A^{T}$

We get:

$(A^{-1})^{T}A^{T} = A^{-1}A$

Since $A^{T} = A$ , we can perform the substitution to get:

$(A^{-1})^{T}A = A^{-1}A$

Multiplying by $A^{-1}$ on both sides:

$(A^{-1})^{T}AA^{-1} = A^{-1}AA^{-1}$

$(A^{-1})^{T}I = A^{-1}I$

$(A^{-1})^{T} = A^{-1}$

Proving that the inverse of a symmetric matrix is also symmetric.

7 0

3 years ago