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Troyanec [42]
3 years ago
8

How do you go about solving when an expression is "sandwiched" between two inequalities, such as -3 < x + 5 < 7?

Mathematics
1 answer:
Molodets [167]3 years ago
5 0
Split the expression into two halves of the "sandwich"

Therefore,
-3<x+5------(1) and,
x+5<7------(2)

Solve both halves separately
From (1):
x>-8

From (2):
x<2

Add somemore ham, mayonnaise, ketchup, bacon and lettuce then mash the two halves of the sandwich back together:

New sandwich:
-8<x<2

Tadah, Bon appetit.
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On December 13, 2007, one British pound was worth 2.04 U.S. dollars.
Alika [10]

Answer:

a) 5 pounds

b) 365 dollars

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2 years ago
The boys had 5 4 6 gallons of water to share throughout the day. James drank 1 1 3 5 6 1 2 gallons and Simon drank 2 3 gallon. H
dsp73

Answer:

1\frac{1}{3}

Step-by-step explanation:

Total Volume of Water = 5\frac{4}{6}

Volume drunk by James =1\frac{1}{3}

Volume drunk by Simon =\frac{2}{3}

Volume drunk by Matthew = 1\frac{1}{2}

Volume drunk by Gilbert =\frac{5}{6}

Total Volume Drunk (i.e. The Sum) = 1\frac{1}{3} + \frac{2}{3} + 1\frac{1}{2} +\frac{5}{6}=\frac{13}{3}

Volume of water Left = Total Volume of Water-Total Volume Drunk

= 5\frac{4}{6}-\frac{13}{3} =\frac{4}{3}=1\frac{1}{3}

3 0
4 years ago
Read 2 more answers
Diego inicia un viaje por carretera de 12 horas con la batería de su teléfono al 75%. Dado su uso normal, ¿su teléfono durará to
faltersainse [42]

Based on Diego's normal usage of his phone, if the battery is at 75%, the phone will not last the whole trip.

<h3>How long will the phone battery last?</h3>

First find out how long each percentage of battery life lasts:

= 15 / 100

= 0.15 hours

If Diego is going on a 12 hour trip with 75%, the length of time it would last is:

= 0.15 x 75

= 11.25 hours

This is less than the 12 hours required so the phone will not last the whole trip.

Rest of question:

At 100%, the battery can go for 15 hours.

Find out more on rate of use at brainly.com/question/16140581.

#SPJ1

3 0
2 years ago
°The angle measurements in the diagram are represented by the following expressions.
stiks02 [169]

Step-by-step explanation:

8x-10=3x+90

=5x=100

=x=20

therefore

B=3(20)+90

150°

8 0
3 years ago
3y + x = 12<br> What is the value of x when y = 3?
Andre45 [30]

Step-by-step explanation:

3y + x = 12

When y = 3, we have 3(3) + x = 12.

=> 9 + x = 12, x = 3.

6 0
3 years ago
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