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Taya2010 [7]
3 years ago
11

Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the

last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.
Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

Given

Initial = 8

Increment = 3 (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

y = Initial\ Figurines + Increment * x

This gives:

y = 8 + 3 * x

y = 8 + 3x

Reorder

y = 3x + 8

A linear equation is of the form

y = mx + b

By comparison,

y = mx + b is equivalent to y = 3x + 8

<em>Hence, we can conclude that the situation is linear</em>

stealth61 [152]3 years ago
3 0

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation:

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6 0
3 years ago
Find x. A. 22 B. 113–√ C. 222–√ D. 113√3
serg [7]

Answer:

x = 31.12

Step-by-step explanation:

First find the base (hypotenuse) of the smaller triangle (the isosceles triangle):  Its three sides are 11, 11 and b.  b can be found using the Pythagorean Theorem:  b^2 = 11^2 + 11^2 = 242.  Then b = √242, or b = approximately 15.56.

b (which is approximately 15.56) is the shorter leg of the large (right) triangle.  The trig function needed to solve for x is the cosine:

                               adjacent side

cos 60 degrees = ----------------------

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which becomes (1/2) = ------------

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Solving this for x, we get:  x = 2(15.56) = 31.12

6 0
4 years ago
Is 3/5 of a mile closer than 1/2 mile?
defon
Yes because a half of 5 is two and five tenths. 
4 0
3 years ago
Read 2 more answers
Y
hichkok12 [17]

Answer:

the correct ones are the 1st, 3rd and 4th

the range is (0:+infinity)

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3 0
3 years ago
Find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26
adoni [48]

Answer:

B____C____D_____E

BC+ CE = BD + DE

(3x+47) + (x+26) = ( x+27) + (10)

4x + 73 = x + 37

4x – x = 37 – 73

3x = ‐ 36

x = – 36/ 3 —> x = – 12

BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11

BD = x+ 27 = –12+27 = 15

CE = x + 26 = –12+26= 14

<h3>So; </h3>

<h3>BE = BD+ DE = 15+ 10= 25</h3>

<h3><u>Or ;</u></h3>

<h3>BE= BC + CE = 11+ 14 = 25</h3>

I hope I helped you^_^

7 0
3 years ago
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