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bulgar [2K]
2 years ago
12

Solve the inequality 1/4m≤−17 .

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Answer:

M\leq -68

Step-by-step explanation:

This inequality is quite simple to solve.

Just multiply both sides by four and you have your answer:

4*(1/4m)\leq4*-17

m\leq -68

Hope this helps!

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What is the slope of the line that passes through the points (0,-10) and (-4,-11)? Write your answer in simplest form.
Luda [366]
From formula m= y2-y1 / x2-x1

Solution

-11-(-10) /. -4-0

= -1/-4

Have a nice day
8 0
3 years ago
Let w=width and 4 + w=
kozerog [31]

Answer:

Part 1 : w^2+4w-60=0

Part 2 :

w=6

l = 10

Step-by-step explanation:

Part 1:

Let the width of the rectangle = w

Length of the rectangle = w + 4

Area of the rectangle is given as

60 Sq Yrds

60=w(w+4)

60=w^2+4w

w^2+4w-60=0

Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.

Part 2:

(w+10)(w-6)= 0

either (w+10) = 0

or

(w-6)=0

or both are zero

(w+10) = 0 ⇒ w = -10

not possible as the dimension can not be 0

(w-6)=0  ⇒ w=6

Hence the width is 6 yards

And thus the length will be 6+4 = 10 yards

8 0
3 years ago
For my homework i dont understand this: the sale price on an item is $160 after a 20% discount.what is the origonal price of the
mr_godi [17]
The original price is $200 because if you did 200 * 0.2, it would equal $160 which is the discounted price.
5 0
3 years ago
Help me please I don’t know what the answer is
Anon25 [30]
I believe that B) m<3 would need to double. Since m<6 and m<3 are corresponding angles, they are always equal. So if 6 doubles, 3 needs to as well in order to be equal.
5 0
3 years ago
Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S
Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

                                                 Strength Strength

                                                    High             Low

High conductivity                         74                8

Low conductivity                         15                3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

P=\frac{74}{100}=0.74

b) If a stand is randomly selected, the probability that its conductivity is low or  strength is low

Conductivity is low A= 15+3=18

Strength is low B= 8+3=11

Conductivity is low and  strength is low A\cap B=3

Probability is given by,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}

P(A\cup B)=0.18+0.11-0.03

P(A\cup B)=0.26

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength  are not mutually exclusive, since there exists some cases in which both the  events coincide. i.e. Intersection of both the events exists with probability 0.03.

8 0
3 years ago
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