Someone please do these i don't understand

Answers

Answer 1

Answer:

Each chair or table requires between 0.2 and 1 gallon of paint to be painted.

What is the equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

To find out how many gallons of paint are used to paint each piece of furniture, we need to divide the total amount of paint used by the total number of pieces of furniture.

Let x be the amount of paint used to paint one chair or table, in gallons.

Then, for 20 chairs and 5 small tables, the total amount of paint used is:

4 gallons = 20x + 5x

Simplifying this equation, we get:

4 gallons = 25x

Dividing both sides by 25, we get:

x = 0.16 gallons

Therefore, it takes 0.16 gallons of paint to paint each chair or table. Since we are looking for whole numbers, we can round this to the nearest whole number to get:

0.16 gallons ≈ 0.2 gallons

Hence, each chair or table requires between 0.2 and 1 gallon of paint to be painted.

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I need to show my work but I don’t know how to do these can someone help me??

Answers

Use cymath.com it shows the steps to copy

Can someone help me match these up? i know the given is number one I need help with the rest.1.line RS || segment AB, ∠1=∠2
2.∠B = ∠1
3.∠A = ∠2
4.∠A = ∠B
5.RA = RB

A: If two ∠'s of a triangle are =, sides opposite are =
B: If lines ||, alternate interior ∠'s =
C: Given
D: Substitution
E: If lines ||, corresponding ∠'s are =

Answers

Answer:

1-C, 2-E, 3-B, 4-D, 5-A

Step-by-step explanation:

Firstly, from the figure, it is shown that line RS is parallel to the line segment AB and ∠1=∠2. Therefore, 1 matches with C.

Now, from the definition of parallel lines, the corresponding angles are always equal, therefore ∠B=∠1. Therefore, 2 matches with E.

Since, we are given that the lines are parallel, therefore by property of parallel lines, alternate angles are always equal. Therefore, ∠A=∠2. Hence, 3 matches with B.

Now, we know that ∠B=∠1 and ∠A=∠2, also that ∠1=∠2, therefore from these equations, ∠A=∠B. Hence, 4 matches with D.

If two angles of the triangle are equal that is ∠A=∠B, then the sides opposite to equal angles are always equal, therefore, RA=RB. Hence, 5 matches with A.

$C-1\nE-2\nB-3\nD-4\nA-5$

Which of the following is equivalent to the expression below for x≠6?2x²-18x+36/x-6

2(x+3)
2x-3
2x+3
2(x-3)

Answers

Answer:

The fourth answer choice is the correct one: 2(x - 3)

Step-by-step explanation:

2x²-18x+36/x-6 should be factored, as follows:

2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)

Substituting x = 6 would result in division by zero and is thus not allowed.

Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.

12 yd
8 yd
6 yd

What’s the area ?

Answers

Answer:

576 i believe!

Step-by-step explanation:

Identify the 42nd term of an arithmetic sequence where a1 = -12 and a27 = 66

Answers

The arithmetic formula is expressed as an = a1 + d *(n-1)where n is an integer. Substituting from the given a1 = -12 and a27 = 66, 66 = -12 + d *(27-1). hence , d is equal to 3. a42 thus using the formula is equal to 111. The final answer to this problem is 111.

Answer:

42nd term is 111

Step-by-step explanation:

$a_1=-12,a_(27)=66$

Now, Using formula of nth term of an A.P. we have :

$a_n=a+(n-1)* d\n\text{Take n=27}\n\implies a_(27)=-12+(27-1)* d\n\implies 66=-12+26\cdot d\n\implies 26\cdot d = 78\n\implies d = 3$

Now, first term a = -12 , n = 42 and d = 3

So, 42nd term is :

$a_(42)=-12+(42-1)* 3\n\implies a_(42)=-12+41* 3\n\implies a_(42)=-12+123\n\bf\implies a_(42)=111$

Hence, 42nd term is 111

a rectangular lawn has a perimeter of 36 meters and a circular exercise run has a circumference of 36 meters which shape will give rico´s dog more area to run?

Answers

The shape is a rectangle lawn

Final answer:

The circular exercise run provides more area for Rico's dog to run than the rectangular lawn. This is determined by calculating the maximum possible area for a rectangle with a perimeter of 36 meters and a circle with a circumference of 36 meters.

Explanation:

To answer which shape will give Rico's dog more area to run, we need to calculate the areas of the given shapes - a rectangle and a circle - using their respective perimeters/circumferences.

For a rectangle with a perimeter of 36 meters, one plausible dimension could be a rectangle with a length of 10 meters and a width of 8 meters, giving an area of 80 square meters assuming the shape is a square. (This gives the maximum area for a given perimeter).

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. If the circumference is 36 meters, then the radius would be 36/(2π) ≈ 5.73 meters. The area of this circle would then be πr², approximately 103.07 square meters.

In conclusion, the circle will offer more area for Rico's dog to run, despite the rectangular lawn and circular exercise run having the same perimeter and circumference lengths respectively.

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