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Savatey [412]
2 years ago
13

Example 4

Mathematics
1 answer:
Vesnalui [34]2 years ago
7 0

Answer: Part a: b represents the base fee charged for the "house call" job

m is the hourly rate.

x is the number of hours at the job.

y represents the total cost for the job.

Part b:. The y-intercept is 65

The equation follows y=mx+b

Y= 42x + 65

Part c:. $275

Step-by-step explanation:

The difference between the two total costs, (Camilla 191 - Connor 107)

= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.

m= 42

42 from 107 to find b, the base fee, 65 This is the y-intercept.

The equation is y= 42x + 65

Quick check using Camilla's bill: 191 = (42)(3) + 65

191 = 126 + 65 True!

Part C:

To find the total cost of the plumber's 5 hour job,

Y = 42(5) + 65

Y= 210 + 65

Y= $275

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What operation do you use to convert from a smaller measurement unit?
tigry1 [53]

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Step-by-step explanation:

Please give me the brainiest answer

5 0
3 years ago
if the temperature outside was -4 degrees Fahrenheit in the morning and 13 degrees Fahrenheit in the afternoon by how much did t
kap26 [50]
The temperature increased 17 degrees.

to add the difference of a negative and positive number, i added the absolute value of -4 (4) to the larger number (13) and got 17
7 0
3 years ago
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Please help me! Which congruence statement does not necessarily describe the triangle shown if DEF equals FGH?
andre [41]

ΔEDF ≅ ΔFGH in this congruence statement does not necessarily describe the triangle shown if DEF equals FGH, so, ΔEDF ≅ ΔFGH is correct answer.

<h3>What is a Congruent triangles :</h3>

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other.

Based on the given conditions,

Since,

ΔDEF ≅ ΔFGH

Then,

∠FED ≅ ∠HGF

∠EFD ≅ ∠GHF

∠EDF ≅ ∠GFH

Congruent triangles corresponding to equal angles,

Therefore,

ΔEDF ≅ ΔFGH in this congruence statement does not necessarily describe the triangle shown if DEF equals FGH.

To learn more about information visit Congruence triangle :

brainly.com/question/12248294

#SPJ1

7 0
1 year ago
The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of
Bingel [31]

Answer:

<em>(7, -4)</em>

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

<em>Hence the coordinate of B is at (7, -4)</em>

4 0
3 years ago
The perimeter of a square is twenty-eight<br> inches. What is the length of each side?
Olenka [21]

The <em>perimeter</em> of any shape is given by the sum of it's <em>all sides</em> and as <em>here the shape</em> is <em>square</em> so it's all <em>sides</em> must be <em>equal</em> and it <em>have 4 sides</em>. So if we assume it's one side to be <em><u>s</u></em> , then perimeter = (s+s+s+s) = <em><u>4s</u></em> , so in our question :

{:\implies \quad \sf 4s=28}

{:\implies \quad \sf s=\dfrac{28}{4}=7}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=7\:\: inches}}}

<em>Hence , the length of each side of the square is 7 inches </em>

8 0
2 years ago
Read 2 more answers
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