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anyanavicka [17]
2 years ago
8

Look at the pic below and please help.

Mathematics
1 answer:
marshall27 [118]2 years ago
3 0

Answer:

1) Equation's:

  • y = 500 + 15x
  • y = 350 + 18x

2) Number of guest and the charge:

  • Cost is same for both at 50 meals. The cost is $1250.

<u>Part 1</u>

Turn sentences into equation's (Let 'y' be total cost and x per meal) :

(i) charges $500 and $15 per meal

  • y = 500 + 15x

(ii) charges $350 and $18 per meal

  • y = 350 + 18x

<u>Part 2</u>

            y  =  y

500 + 15x = 350 + 18x

18x - 15x = 500 - 350

3x = 150

x = 150/3

x = 50

Charge at guest's 50 meal:

y = 500 + 15(50)

y = $1250

Point : (50, 1250)

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Answer:

4)..21 units

5). 15 units

6). 25 units

Step-by-step explanation:

4). Since ΔABC ~ ΔDEF,

   Their corresponding sides will be proportional.

   \frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}

   Since, \frac{AB}{DE}=\frac{AC}{DF}

   \frac{14}{42}=\frac{7}{x}

   x = \frac{42\times 7}{14}

   x = 21 units

5). Since ΔABC ~ ΔDEF,

   \frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}

   \frac{AB}{DE}=\frac{BC}{EF}

   \frac{6}{9}=\frac{10}{x}

   x = 15 units

6). Since ΔABC ~ ΔDEF,

   \frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}

   \frac{BC}{EF}=\frac{AC}{DF}

   \frac{6}{30}=\frac{5}{x}

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7 0
3 years ago
4 (b - 3 ) = 6 steps in order from first to last
Amiraneli [1.4K]

Answer:

B= 9/2 Hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

8 0
4 years ago
Read 2 more answers
Biologists have found that the number of chirps some types of cricket make per minute depends upon the temperature this relation
Alex Ar [27]

Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Step-by-step explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

where x  and y are two points  representing the  temperature and chirps /min respectively

And  

m= slope

Step 2 : Finding the slope , m

where x1=60

           y1=92

           x2= 75

           y2=152

m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

=60/15 =4

Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and  the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit

6 0
3 years ago
(PLS HURRY)<br> Choices:<br> A. 4m<br> B. 5m<br> C. 2m<br> D. 6m
Alexxandr [17]
It would be 6m it’s a trick question if you break down the equation it’s asking something very simple
4 0
3 years ago
Read 2 more answers
In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.
Tamiku [17]

Answer:

a) f(s)=\frac{-11}{3}s+\frac{3245}{3} f(1)=1078 stores b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

a)

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}

s=1 in 2003

s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078

b) For 2012, s=9. For 2014, s=11

\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0
4 years ago
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