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ioda
3 years ago
5

Which of the following is the solution to | x | +5< 1?

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

C. No Solution

<u>Explanation</u>

<u></u>

The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.

|x| + 5< 1\\|x| + 5 -1 < 0\\|x| +4 < 0\\|x| < -4

Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.

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8 0
3 years ago
1. The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag a
lapo4ka [179]

Answer:

Option d :18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality : 2.5x+4y\leq 60

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

2.5(10)+4(2)\leq 60

25+8\leq 60

33\leq 60

Hence it is correct.

Option b : 20 bags of chips and 2 jars of salsa

so, x = 20 and y =2

Putting values in inequality

2.5(20)+4(2)\leq 60

50+8\leq 60

58\leq 60

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

2.5(14)+4(5)\leq 60

35+20\leq 60

55\leq 60

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

2.5(18)+4(6)\leq 60

45+24\leq 60

69\geq 60

Hence it is not correct since it violates the inequality

4 0
3 years ago
Read 2 more answers
A/20 + 14/15 = 9/15 <br><br> Can i get some help?
KiRa [710]
Method 1:

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}

Method 2.

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}
3 0
3 years ago
A couch and coffee table cost a total of $1167. The cost of the couch is two times the cost of the coffee table. Find the cost o
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Answer:

The couch is $778 and the table is $389

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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