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suter [353]
3 years ago
9

A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each

camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A.
x + y \leqslant 200 \\ 4x + 3y \leqslant 750
B.
x + y \leqslant 750 \\ 4x + 3y \leqslant 200
C.
x + y \leqslant 200 \\ 3x + 4y \leqslant 750
D.
x + y \leqslant 750 \\ 3x + 4y \leqslant 200
​
Mathematics
2 answers:
Sati [7]3 years ago
5 0

Answer:

A.\\\\x+y\leq200\\\\4x+3y\leq750

Step-by-step explanation:

x - number of adults

y - number of campers

<em>The room for 200 people</em>: x + y ≤ 200

<em>Each adult costs $4, and each camper costs $3</em>: 4x and 3y

<em>A maximum budget of $750</em>: 4x + 3y ≤ 750

Bess [88]3 years ago
4 0

Answer:

A)  

x + y ≤ 200

4x + 3y ≤ 750

Step-by-step explanation:

i just took the test

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Please help me !! i beg u !!!!!!!!!!!!!!!!!!!
Ede4ka [16]

Answer:

D.10÷3

Step-by-step explanation:

ir you try dividing the number 10 by 3 you would get 3.333333 non-stop.

8 0
2 years ago
What is the solution to the inequality 2x&lt;20
Keith_Richards [23]

The given expression is

2x

We just have to divide by 2

\begin{gathered} \frac{2x}{2}<h2>Hence, the solution is all real numbers less than 10.</h2>
8 0
11 months ago
In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is
Lilit [14]

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of  adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

\mu=np=300\times0.077=23.1

\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62

Now, using formula z=\dfrac{x-\mu}{\sigma}, the z-value corresponding to 26 will be :-

z=\dfrac{26-23.1}{4.62}\approx0.63

Using standard distribution table for z , we have

P-value=P(z\geq0.63)=1-P(z

=1-0.7356527=0.2643473\approx0.2643

Hence, the probability that at least 26 in the sample are unemployed  =0.2643

6 0
2 years ago
6. In right triangle ABC, mZC=3y-10,
lorasvet [3.4K]

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

90\°+(y+40)\°+(3y-10)\°=180\°

Solve for y

4y+120=180

4y=180-120

4y=60

y=15

step 2

<em>Find the measure of angle B</em>

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

<em>Find the measure of angle C</em>

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

so

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

6 0
2 years ago
PLEASE ASAP ILL GIVE BRAINLIEST.
kaheart [24]
I’m going to say the top one it seems like that would be correct
6 0
2 years ago
Read 2 more answers
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