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grigory [225]
2 years ago
14

5x + 3 < -7 you have to show work

Mathematics
2 answers:
arsen [322]2 years ago
8 0

Answer:

x<-2

Step-by-step explanation:

5x + 3 < -7

5x  < -7-3

5x<-10

x<-10/5

x<-2

OLEGan [10]2 years ago
4 0

Answer:

gev5y

Step-by-step explanation:

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There are 162 magazines and books in a library. There are 54 more books
Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

<u>Given the following data;</u>

Total number of m & b = 162

<em>Translating the word problem into an algebraic equation, we have;</em>

b = m + 54 ......equation 1

m + b = 162 ......equation 2

<em>Substituting equation "1" into equation "2" we have;</em>

m + m + 54 = 162

2m + 54 = 162

2m = 162 - 54

2m = 108

m = \frac {108}{2}

m = 54

Now to find the number of books;

b = m + 54

Substituting the value of "m" into the equation, we have;

b = 54 + 54

<em>b = 108</em>

<em>Therefore, the total number of books in the library is 108 books. </em>

7 0
3 years ago
Two cars travel along a highway at the same speed.
Mazyrski [523]

Answer:

30 mins

Step-by-step explanation:

<em>speed = distance/ time </em>

speed of car A

= 20/ 12 km/ min

= 5/ 3 km/ min

also, speed of car A = speed of car B

speed of car B = 5/ 3 km/ min = 50km / time taken (in mins)

\frac{5}{3}  =  \frac{50}{t}

5t  = 150

t = 30

=> t = 30 mins

6 0
2 years ago
(5.02) The area of the parallelogram below is ___ square meters.
Anarel [89]
A= Bh
A = 9(7) = 63 m^2
8 0
3 years ago
Read 2 more answers
Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each
IgorC [24]
She has to donate 46 more 127 x 2 +n=300 You have to add 127 twice, which gives you 254. Then you subtract that from 300.
6 0
3 years ago
Consider an angle with a measure of θ=225∘.
wel

Answer:

cos 225° = -\frac{\sqrt{2} }{2}

sin 225° = -\frac{\sqrt{2} }{2}

tan 225° = 1

Step-by-step explanation:

I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45°   (225 - 180 = 45)

cos and sin are negative in the 3rd quadrant and the tan is positive

cos 225° = - cos 45° = -\frac{\sqrt{2} }{2}

sin 225° = -sin 45° = -\frac{\sqrt{2} }{2}

tan 225° = tan 45° = 1

8 0
2 years ago
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