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polet [3.4K]
1 year ago
13

The local florist never has more than a combined total of 40 daisy and carnation bouquets and never more than 12 carnation bouqu

ets. Write a system of inequalities that represents this
situation.
Mathematics
1 answer:
Marrrta [24]1 year ago
8 0

The system of inequalities that represents this situation are

x + y ≤ 40 and x ≤ 12.

Here, x = Number of carnation bouquets

y = Number of daisy bouquets

From the system of inequalities,

In the first case.

The local florist has never more than a combined total of 40 daisy  bouquets, so according to this statement the following equation will be:

x + y ≤ 40.

Again in the second case.

The local florist has never more than a 12 carnation bouquets, so according to this statement the following equation will be:

x ≤ 12.

Therefore, the system of inequalities that represents this situation are

x + y ≤ 40 and x ≤ 12.

Learn more about system of inequalities here -

https://brainly.ph/question/9662691

#SPJ9

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Group the like terms to get 5m+6w+33.
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Mark bought 8 boxes a week later half of all his boxes were destroyed in a fire there are now only 20 boxes left with how many d
anzhelika [568]

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Answer:

  • equation: 1/2(s +8) = 20
  • Mark began with 32 boxes

Step-by-step explanation:

Let s represent the number Mark started with. After buying 8 more, he then had s+8. After the fire, he had ...

  (1/2)(s +8) = 20

This equation can be solved by multiplying by 2, then subtracting 8.

  s +8 = 40

  s = 32

Mark began with 32 boxes.

8 0
3 years ago
Does an isosceles triangle have two sides of equal length?
AlekseyPX

Hi, there.

 ______

Does an isosceles triangle have two sides of equal length?

Let's start by defining an isosceles triangle.

It's a triangle which has <em>two sides of equal length</em>; the third side, the base, is the shortest side.

Therefore, an isosceles triangle DOES have two sides of equal length.

Hope the answer - and explanation - made sense,

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4 0
1 year ago
Find the equation of the line through the points (3, 6) and (-1, 1).
Setler [38]

Answer:

D. y = 5/4x + 2 1/4

Step-by-step explanation:

The equation of the line is

y = mx + c

Step 1: find the slope

( 3 , 6) ( -1 , 1)

m = y2 - y1 / x2 - x1

m - is the slope of the line

( y1 , y2) - are point on the line

( x1, x2) - are point on the line

x1 = 3

y1 = 6

x2 = -1

y2 = 1

Inserting into the formula

m = y2 - y1 / x2 - x1

m = 1 - 6 / -1 - 3

m = -5/-4

Minus cancels minus

= 5/4

Step 2: substitute m into the equation of the line

y = mx + c

y = 5/4x + c

Step 3: sub any of the two points given into the equation

Let's pick ( 3 , 6)

x - 3

y - 6

y = 5/4x + c.

6 = 5/4(3) + c

6 = 5 * 3 / 4 + c

6 = 15/4 + c

c = 6 - 15/4

LCM = 4

c = 24 - 16 / 4

c = 9/4

c = 2 1/4

Step 4: sub c into the equation

y = 5/4x + c

y = 5/4x + 2 1/4

The equation of the line is

y = 5/4x + 2 1/4

8 0
3 years ago
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