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Aleonysh [2.5K]
3 years ago
6

A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the caterer ch

arges a certain amount for each guest. If it costs $300 to serve 25 guests and $420 to serve 40 guests, find the cost per guest. Write a system of equations for the situation and solve using inverse matrices.
Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0
A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the caterer charges a certain amount for each guest. If it costs $300 to serve 25 guests and $420 to serve 40 guests, find the cost per guest. Write a system of equations for the situation and solve using inverse matrices.
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How do i solve -6=b/18
asambeis [7]

Answer: b= -108

Step-by-step explanation:

-6=b/18

-6=b/2(3)^2

-18(6)=b

-108=b

b= -108

*<u><em>I hope that this makes sense :)</em></u>

3 0
3 years ago
What is an equation of the line that passes through the points (-4,-1) and (2,8)?
lora16 [44]

Answer:

y=3/2 x + 5

Step-by-step explanation:

y = mx + c

<em>Firstly, find m (gradient).</em>

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

m= 8-(-1)/ 2-(-4)

m= 9/ 6

m= 3/2

<em>Please leave gradient in improper fraction if its value is not a whole number.</em>

<em>Now substitute m into the equation:</em>

y= 3/2 x + c

<em>Then substitute a coordinate to find c:</em>

When y= 8, x= 2,

8= 3/2 (2) + c

8= 3 + c

c= 8 - 3 = 5

Thus, the equation of the line is y= 3/2 x + 5.

5 0
4 years ago
Solve the proportion.<br> 2/3/4 = 10<br> LO<br> x = [?]
Setler79 [48]

Answer:

x = 6

Step-by-step explanation:

We want to find x,

\frac{3}{5} = \frac{x}{10}

to get x alone, we multiple both side by 10

\frac{3}{5} * 10 = \frac{x}{10} *10

\frac{30}{5} = x

30 divided by 5 is 6

<u>Check</u>:

We can see that 5 x ____ = 10 where ____ is 2

5 x 2 = 10

so 3 x 2 = 6

Learn more about Equivalent Fractions here: brainly.com/question/1612

8 0
2 years ago
Try this please if you can. Thanks!
DerKrebs [107]
<h3>Answer:</h3>

PR ≈ 14.50

<h3>Step-by-step explanation:</h3>

Since ∠Q is a right angle, the area can be found from ...

... A = (1/2)bh = (1/2)(QP)(PR)

From trigonometry, we know ...

... QP = PR·cos(P) = PR·cos(36°)

... QR - PR·sin(P) = PR·sin(36°)

Substituting these values and the given area into the area formula gives ...

... 50 = (1/2)(PR·cos(36°))(PR·sin(36°))

... 100/(sin(36°)cos(36°)) = (PR)²

... PR = 10/√(sin(36°)cos(36°))

... PR ≈ 14.5015

4 0
3 years ago
Please help ASAP need help
Amiraneli [1.4K]
1.059 should be the answer because it goes up 0.059 on each one
3 0
3 years ago
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