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astra-53 [7]
3 years ago
6

Translate into an inequality:   The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5

times the larger.  a x+x+2 ≥9x-5(x+2) 
b x+x+1 ≤9x-5(x+1) 
c x+x+1 ≥ 9x-5(x+1) 
d x+x+2 ≤9x-5(x+2)

Mathematics
2 answers:
mariarad [96]3 years ago
7 0
The answer is b. "at most" means that x + (x + 1) must be smaller than or equal to the other side of the equation. 
olga nikolaevna [1]3 years ago
6 0
Work shown above! Answer would be b!

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Can someone teach me integers?
vivado [14]
An integer is a whole number that can be positive, negative, or zero.

3 0
3 years ago
Rafael want to buy the same number of gifts bags and bows gifts bags are sold in packs of 6. Bows are sold in packs of 9. What i
GenaCL600 [577]

Answer:

Rafael should buy 9 gift bags and 6 bows packet so, that she can have SAME NUMBER OF ITEMS, i.e 54.

Step-by-step explanation:

The gift bags are sold in the packs of 6.

So, the number of gift bags in 1 packet  = 6 gift bags

The number of gift bags in 2  packet  = 6 x 2 gift bags  = 12  gift bags

The number of gift bags in 3  packet  = 6 x 3 gift bags  = 18  gift bags

And continuing similarly, we get

The number of gift bags in 9  packet  = 6 x 9 gift bags  = 54 gift bags.. (1)

The bows are sold in the pack of 9.

So, the number of bows in 1 packet  = 9 bows

The number of bows in 2 packet   = 9 x 2 bows  = 18 bows

The number of bows in 3 packet   = 9 x 3 bows  = 27 bows

And continuing similarly, we get

The number of bows in 6  packet  = 9 x 6 bows  = 54 bows... (2)

Here, comparing both equations (1) and (2) , we get

The number of gift bags = 54  = The number of bows.

Hence, Rafael should buy 9 gift bags and 6 packet of bows so, that she can have SAME NUMBER OF ITEMS, i.e 54.

8 0
3 years ago
Timothy has a fenced-in garden in the shape of a
sattari [20]

Answer:

From the attached graphic we see that

rhombus side =   Sqr Root [(Long Diagonal / 2) ^ 2 + (Short Diagonal / 2) ^ 2]

rhombus side =   Sqr Root [(24/2)^2 + (18/2)^2]

rhombus side =   Sqr Root [144 + 81]

rhombus side =  Sqr Root (225)

rhombus side = 15 feet

Step-by-step explanation:

7 0
3 years ago
What is the slope of the line that passes through the points (9, -1) and (4, -11)?
mixas84 [53]

Answer:

2

Step-by-step explanation:

We have two points so we can find the slope

m = ( y2-y1)/(x2-x1)

    = ( -11 - -1)/( 4 -9)

    = (-11+1)/( 4-9)

    -10/ -5

   = 2

4 0
2 years ago
WILL MARK BRAINLIEST An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front o
kobusy [5.1K]

Answer:

60 ft  is 720 in. I did 720/15...that equals 48. At this point i think each in in the drawing is a foot, so every one in is 48 ft.

(x+48)

there is no y because they only give information about one side. hope this helps. :)

Step-by-step explanation:

4 0
3 years ago
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