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4 years ago

7

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

1 answer:

Morgarella [4.7K]4 years ago

3 0

Answer: ( -∞ , - 21 )

Step-by-step explanation:

Let the number be x , so from the question , we have

5(x+27) ≥ 6 ( x + 26 )

expanding , we have

5x + 135 ≥ 6x + 156

5x - 6x ≥ 156 - 135

- x ≥ 21

Therefore :

x ≤ - 21

So , the numbers less or equal to -21 are -21 ,-22 , -23 ...

so the solution set is ( - ∞ , 21 )

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Grapes are 2.55 per pound and on two separate occasions Dana went to the store to

fomenos

Answer: $11.48

Step-by-step explanation:

First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.

8 0

3 years ago

HELP!!! Use the factor Theorem to determine whether the binomial x+1 is a factor of the polynomial function f(x) =2x^3-9x^2+13x-

Dovator [93]

ANSWER

A. No because f(c)=-30

EXPLANATION

The given polynomial is

$f(x) =2x^3-9x^2+13x-6$

If x+1 is a factor , then f(-1) must evaluate to zero.

$f( - 1) =2( - 1)^3-9( - 1)^2+13( - 1)-6$

$f( - 1) =2( - 1)-9( 1)+13( - 1)-6$

$f( - 1) = - 2-9 - 13-6$

$f( - 1) = -11 - 19$

$f( - 1) = - 30$

Since f(-1) is not equal to zero, x+1 is not a factor of

$f(x) =2x^3-9x^2+13x-6$

6 0

4 years ago

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

Verdich [7]

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

To raise the second equation we consider that the length and width of 4 inches less than the height of the box

H-4=W

Ecuation 3

To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height

LxWxH=128

From ecuation 1(w=h)

$HW^2=128$

solving for H

$H=\frac{128}{W^2}$

<em />

<em>Using ecuation 2</em>

H-4=W

$\frac{128}{W^2}-4=W\\W^3+4W^2-128=0$

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

7 0

3 years ago

0.3 x 103<br>0 3 x 1025<br>Write the following as an ordinary number. [<br>(1 Point<br>3x10

Ne4ueva [31]

0.3 x 103 = 30.9
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3 x 10^5 = 300,000

3 0

3 years ago

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ohaa [14]

Answer:

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Step-by-step explanation:

You need to divide

6 0

3 years ago