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Olenka [21]
4 years ago
10

A teacher wants to buy supplies for two of their students, Susie and John. This teacher wants to spend at least $5 on each stude

nt. This teacher also must keep the total of the supplies under $30. What is a system of inequalities that represents this situation? A. x + y ≥ 30 x ≥ 5 y < 5
B. x + y < 30 x < 5 y < 5
C. x + y ≥ 30 x ≥ 5 y ≥ 5
D. x + y < 30 x ≥ 5 y ≥ 5
Mathematics
1 answer:
tino4ka555 [31]4 years ago
6 0
X and y represent the two students.

Teacher wants to spend at least $5 in each of x and y. That means x or y could be either equal to 5 or higher than 5.
x ≥ 5
y ≥ 5

Teacher only spends under $30. That means the sum of x and y couldn't be equal to higher than 30. It should be lower than 30.
x + y < 30

The correct answer is option D
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Step-by-step explanation:

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Solve the system of equations by any method.<br><br><br><br> 5x+9y =16<br> x+2y =4
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Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

-5\times(x+2y=4) \rightarrow -5x - 10y = -20

Therefore, our system now becomes:

\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.

Now, we can add these two equations together and solve for y.

\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4

Now, we can substitute our value for y into one of the equations and solve for x.

x+2(4)=4\\\\x + 8 = 4\\\\x = -4

Therefore, our final solution is (-4, 4).

6 0
3 years ago
Pls help me will give brainliest
Nuetrik [128]

Answer:

Step-by-step explanation:

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2 years ago
Please help! Thank you if you do :)
Kruka [31]

Step-by-step explanation:

A(-5,1) and B(0,4)

m \:  =  \:  \frac{y2 - y1}{x2 - x1}

X1=0 , Y1=4 X2= -5 , Y2=1

m \:  =  \:  \frac{3 }{5}

y - y1 = m(x - x1)

y - 4 = ⅗(x-0) ==> y - 4 = ⅗ X ==> y = ⅗ X + 4

<u>C</u> is the answer

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2 years ago
How to solve piecewise functions step by step?
Zanzabum
If you can graph a function, you can graph piecewise functions.  Each one of them is a different line or curve within the domain for that specific line of curve.  If the domain states it's less than or greater than a number, you circle that point on the line.  If the domain states it's also possibly equal to the point at the beginning or the end, you make a closed dot.  

I"m sure that's clear as mud, please respond with any additional questions.
5 0
3 years ago
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