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maks197457 [2]
3 years ago
14

A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on cateri

ng. Write and solve an inequality in terms of the number of guests, g, that can be invited.
Mathematics
2 answers:
wlad13 [49]3 years ago
8 0
5,000=300 + 40x
-300     -300
4,700= 40x
 4,700/40=x
117.5 =x                    sarah and eric cant have anymore than 117 guests
anzhelika [568]3 years ago
8 0
<span>300 + 40g ≤ 5000; g ≤ 117</span><span> is the correct answer. Take the base amount, 300, and add 40 “g” times (“g” is the number of guests). This </span>expression <span>must be ≤ 5000 since they do not want to spend more than $5,000. </span>Solve<span> the </span>inequality<span> to get the answer.


Hope I helped have a great day!

~ Enstanding </span>
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The ratio of apples to orgens is 1 to 3
-BARSIC- [3]
Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.
8 0
4 years ago
What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?
MAXImum [283]

Answer:

1

Step-by-step explanation:

6*2-24x+1=

12+1=24x

x+1= 24/12

x+1=2

x=2-1

x=1

4 0
4 years ago
The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a
elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

P(x)=-0.5x^2+23x+92 -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

PXx)\geq 225 -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0
4 years ago
In two or more complete sentences, explain how to use ordered pairs of points in x) = 2x + 5 and g(x)=
Naddika [18.5K]

Answer:

see the explanation

Step-by-step explanation:

we have

A(x)=2x+5

Find the inverse of A(x)

Let

y=A(x)

y=2x+5

Exchange the variables x for y and y for x

x=2y+5

Isolate the variable y

2y=x-5

y=\frac{x-5}{2}

Let

g(x)=y

g(x)=\frac{x-5}{2} ------> function inverse of A(x)

<em>Explanation</em>

For x=1

Find the value of A(x)

A(1)=2(1)+5=7

The point (1,7) is a solution for A(x)

That means-----> The point (7,1) is a solution for the function inverse g(x)

Verify

For x=7

g(7)=\frac{7-5}{2}=1

The point (7,1) is a solution for g(x)

therefore

A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)

8 0
3 years ago
What is 8r-(5r+4) ≥-31
lesantik [10]

Answer:

r ≥ -9

Step-by-step explanation:

8r-(5r+4)\geq -31\\8r-5r-4 \geq -31\\3r - 4 \geq -31\\3r \geq -27\\r \geq -9

5 0
3 years ago
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