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WARRIOR [948]
3 years ago
12

Mr. Patterson ordered pizzas for the soccer team. Medium pizzas have 8 slices and large pizzas have 10. if there are 13 pizzas a

nd 108 slices, how many of each size pizza were ordered?
Mathematics
1 answer:
Liula [17]3 years ago
4 0
M + l = 13 [m = 13 - l]

8m + 10l = 108

8(13 - l) + 10l = 108
104 - 8l + 10l = 108
2l = 4
L = 2

M = 13 - 2 = 11

There are two large pizzas and eleven medium pizzas.
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Prove that Tan x + Cos x = 1 /Sin x .Cos x​
Anit [1.1K]

Answer:

tanx + cotx =  \frac{1}{sinxcosx}

Step-by-step explanation:

<u><em>Explanation</em></u>

Take R.H.S   = \frac{1}{sinxcosx}

            =      \frac{sin^{2}x+cos^{2}x  }{sinxcosx}

          =      \frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}

        = \frac{sinx}{cosx} + \frac{cosx}{sinx}

        = tanx + cotx

tanx + cotx =  \frac{1}{sinxcosx}

             

5 0
3 years ago
Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as y - b = m(x - a), where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in y - b = m(x - a).

✅Equation in point-slope form would be:

y - 12 = -3(x - 6)

Rewrite this to make it be in the slope-intercept form, y = mx + b.

y - 12 = -3(x - 6)

y - 12 = -3x + 18

Add 12 to both sides

y = -3x + 18 + 12

y = -3x + 30

✅The equation in slope-intercept form is y = -3x + 30

b. ✍️Based on the linear model, y = -3x + 30, the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, y = -3x + 30, "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!<br><br> Which graph represents
KATRIN_1 [288]

Answer: D

<u>Step-by-step explanation:</u>

Vertex form is: f(x) = a(x - h)² + k  where (h, k) is the vertex.

f(x) = (x - 3)² - 5      

  • the vertex is (3, 5).  
  • "a" is positive (+1), so it points upward.

The only graph that matches is the last one, <em>which I called graph D.</em>

6 0
2 years ago
Help me solve for X <br> Please
frutty [35]

Step-by-step explanation:

18+3=x+3

21=x+3

x=21-3

x=18

<h2>stay safe healthy and happy...</h2>
4 0
3 years ago
It takes mat 30 minutes to walk to school. It takes Leo 80% as long to walk. How long does it take Leo to walk to school?
olga55 [171]

Answer:

24 minutes

Step-by-step explanation:

you convert 80% to 0.80

you then multiply 30 x 0.80 = 24

6 0
2 years ago
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