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Stella [2.4K]
3 years ago
9

A small garden measures 8 ft by 7 ft. A uniform border around the garden increases the total area to 110 ft 2. What is the width

of the border?
Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer: 3

Step-by-step explanation:

You can answer this question by using the equation

(8+x)(7+x)=110

The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.

If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0

This can be simplified into (x-3)(x+18)=0

This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.

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5x + 4y = 20 on a graph
Yakvenalex [24]

Answer:

5x + 4y = 20 on a graph

Step-by-step explanation:

3 0
3 years ago
A cube with each face a different colour will fit exactly into a box in which it is packaged. In how many ways can the cube be p
dmitriy555 [2]

Answer:

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I hope this helps

4 0
3 years ago
Check whether the system of equations is consistent or inconsistent 7/2x-2/3y+9=0; 2x-3y-8=0​
laiz [17]

Answer:

hi,

Step-by-step explanation:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

Here the system has one solution.

4 0
2 years ago
I am thinking of two numbers.
Bas_tet [7]

Answer:

Step-by-step explanation:

Let one number=x

Therefore the othernumber=x+b

Since,

    x+x+b=58

==>2x+b=58

==>2x=58-b

==>x=(58-b)/2

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7 0
2 years ago
Define A = {x : 0 ≤ x ≤ 1}, B = {x : 0 ≤ x ≤ 3}, and C = {x : −1 ≤ x ≤ 2}. Draw diagrams showing each of the following sets of p
Verizon [17]

Answer: (a) {0,1}; (b) {0,1, 2}; (c) {0,1}; (d) {0, 1, 2}

Step-by-step explanation: Defining the sets A,B and C:

A = {0,1};  B = {0, 1, 2, 3}; C = {-1, 0, 1, 2}

(a) A ∩ B ∩ C = {0, 1}, because it represents the intersection of the sets, the items that appears in all the three sets.

(b) A ∪ (B ∩ C) = {0, 1} ∪ {0, 1, 2} = {0, 1, 2}. In this case, it represents the union of the sets A with the intersection of sets B and C.

The (c) and (d) are a combination between union and intersection of the sets.

The Venn Diagrams are the representations of the sets and their interactions and are represented in the attachments

4 0
3 years ago
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