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lina2011 [118]
3 years ago
12

Which inequality represents this situation? jessica is stacking items on a shelf. she has large books that weigh 5 pounds each a

nd medium books that weigh 3 pounds each. the shelf should hold at most 50 pounds. let x represent the number of large books. let y represent the number of medium books.
a. 5x 3y>50
b. 5x 3y<50
c. 5x 3y≥50
d. 5x 3y≤50

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0
5x+3y≤50.  Letter D. is the answer.
denis-greek [22]3 years ago
6 0

Let

x--------> the number of large books

y-------> the number of medium books

we know that

5x+3y \leq 50

using a graph tool

see the attached figure

the solution is the shaded area

therefore

<u>the answer is the option d</u>

5x+3y \leq 50

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Solve.
Serggg [28]

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

5 0
3 years ago
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dangina [55]

Step-by-step explanation:

0.000000055

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2 years ago
The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)
lina2011 [118]
The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\  -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}

therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}
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3 years ago
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BaLLatris [955]
Okay so the first one is right.
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4 0
3 years ago
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Help please with #3
Alenkasestr [34]

Answer: x = 2a over b + c

Step-by-step explanation:

1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx

2) Since both b and c have x’s, we turn it into (b + c)x

3. Then divide both sides by b+c to get 2a over b + c = x

6 0
3 years ago
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