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umka2103 [35]
3 years ago
15

Use the drawing tool(s) to form the correct answer on the provided number line.

Mathematics
2 answers:
blagie [28]3 years ago
5 0

Answer:

  see below

Step-by-step explanation:

Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.

Luba_88 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

In general, solutions to absolute value inequalities, as in this case, take two forms:

If | x | <a, then x<a or x> -a.

If | x |> a, then x> a or x <-a.

In this case, you have |x − 70| ≤ 4. So, you have two cases:

x − 70 ≤ 4 and x − 70 ≥ -4

Solving both equations:

x − 70 ≤ 4      

x ≤ 4 + 70

x≤ 74

and

x - 70 ≥ -4

x ≥ -4+70

x ≥ 66

It is convenient to graph both solutions, as shown in the attached image .

The intersection between both conditions is the solution to the inequality (that is, in the image it is shown as the interval painted by both colors). In this case, the solution is 66≤x≤74

This indicates that Eric can drive within this speed range.

The range of speeds Eric would not drive at under the given conditions is x≤66 and x≥74,  as shown in the other image.

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Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0
2 years ago
A group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate?
Kobotan [32]

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Learn more about permutation here

brainly.com/question/1216161

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1 year ago
Answer questions Correctly for brainly​
morpeh [17]

Answer:

x=\frac{13}{6}

Step-by-step explanation:

2x +2/3=5

x=13/6

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3 years ago
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JulijaS [17]

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8 0
3 years ago
Brian has 75 pieces of candy 45 pieces of his candy or chocolate what percentage of his candy is chocolate
Alik [6]

Answer:

60%

Step-by-step explanation:

45 pieces out of 75 pieces are chocolate

45/75

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To get percentage from a decimal, move the decimal point to the right two place values

0.6 => 60%

60% of his candy are chocolate

4 0
3 years ago
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