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Mashcka [7]
3 years ago
7

Write an inequality for each of the following:

Mathematics
1 answer:
laila [671]3 years ago
7 0

Answer:

1.\ \ \frac{x}{24}

Step-by-step explanation:

1. let x be the unknown number.

-Given that 24 divided by x is less than x is less than 7 means that 7 is greater than the quotient thereof.

-The in equality is written as:

\frac{x}{24}

2.Let the amount Chris has be y.

-At most is a term of inclusivity implying less than or equal to a specified quantity.

-$5 less than twice y will therefore be represented as:

2y-5\leq 124

3. It is clear that the minimum age to have a drivers license is 16.

-Let x be the age of a driver whose age is unknown.

-It is therefore obvious that all drivers in Ohio are either exactly 16 years or older.

-Our inequality symbol is that of equal to or greater than, thus:

x\geq 16

4. let x be the number of CD's bought and y of DVD's bought.

-CD's are priced at $14 each and DVD's at $16 each, given a budget of $65.

-They can only buy a number of units whose price is less than or exactly $65, thus:

14x+16y\leq 65

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Solve each compound inequality. Graph your solutions.<br> 5 + m &gt; 4 or 7m&lt; -35
Yuliya22 [10]

Answer:

Solving the inequality 5 + m > 4\: or\: 7m< -35 we get \mathbf{m>-1\:or\: \:m

The graph of the inequality is shown in figure attached.

Step-by-step explanation:

We need to Solve each compound inequality 5 + m > 4\: or\: 7m< -35

Solving the inequalities

For solving compound inequalities we solve both inequalities simultaneously and find the value of m.

For solving 5+m > 4, we subtract 5 from both sides.

While solving 7m < -35, we divide both sides by 7 to get value of m

Applying these functions we get:

5 + m > 4\: or\: 7m< -35\\m>4-5\:or\:m-1\:or\:m

So, solving the inequality 5 + m > 4\: or\: 7m< -35 we get \mathbf{m>-1\:or\: \:m

The graph of the inequality is shown in figure attached.

5 0
2 years ago
Janet saved $400 dollars. She decided to spend 130 on clothes. What percentage of her money did she spend on clothes?
adell [148]

Answer:

32.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
the time t required to drive a certain distance varies inversely with the speed, r. if it takes 4 hours to drive the distance at
valina [46]
Hello,

Answer A

d :the distance in miles
t: the time in hours
v: the speed in miles/hours (vistesse)


d=v*t
==>d=40*4=160(mi)

d=55*x=160==>x=160/55=2.909090... (mi/(mi/h)=h)≈2.91(hours)
8 0
3 years ago
Please solve this law of indices​
PilotLPTM [1.2K]

4√36^-1 = 36^-1/4

36^3/4 • 36^-1/4

=36^2/4

or √36 = 6

5 0
2 years ago
Read 2 more answers
What is the value of f if f + I-3 11/12 = 18
astra-53 [7]
Solve for f:(i - 47/12) + f = 18
(i - 47/12) + f = f + (-47/12 + i):
f + (-47/12 + i) = 18
Subtract -47/12 + i from both sides:
Answer:  f = 263/12 - i
7 0
3 years ago
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