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BlackZzzverrR [31]
3 years ago
11

Solve (x - 2 < 5) U (x + 7 > 6).

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

Answer:

A) {x | -1 < x < 7}

Step-by-step explanation:

Given in the question two inequalities,

Inequality 1

(x - 2 < 5)

 x < 5 + 2

 x < 7

x is smaller than 7

Inequality 2

(x + 7 > 6)

 x > 6 - 7

 x > -1

x is greater then -1

When (x - 2 < 5) U (x + 7 > 6).

              (x < 7)   U  (x > -1)    

                    -1 <  x  < 7

When combined, x is greater than -1 but smaller than 7

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Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people
AlekseyPX

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = 6\frac{1}{2}

Amount of one serving contains = \frac{3}{4} cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}

Therefore, total number of servings available as per the given quantities:

\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

7 0
3 years ago
Solve each problem and check your answer using estimates. a. $18.79 + $2.11 + ‐$1.92 + $17.28 b. $7.45 + ‐$24.45 + $74.17 + ‐$76
Aneli [31]

The solution to the linear expressions are:

  • a. $36.26
  • b. -$19.35
  • c. $70.38

<h3>Solving linear expressions:</h3>

The solution to linear expression is determined by taking into consideration the arithmetic operations used in each linear expression.

From the information given:

a. $18.79 + $2.11 + ‐$1.92 + $17.28

By rearrangement:

= $18.79 + $2.11 + $17.28 ‐$1.92

= $36.26

b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52

By rearrangement:

= $7.45  + $74.17 ‐ $24.45 ‐ $76.52

= -$19.35

c.  $98.45 − $10.63 + $2.82 − $20.26

By rearrangement:

= $98.45 + $2.82 − $10.63 − $20.26

= $70.38

Learn more about solving linear expressions here:

brainly.com/question/2030026

#SPJ1

7 0
1 year ago
Which question represents the line through (0,0) and (2,5)?
madam [21]

Answer:

y=5/2x

Step-by-step explanation:

The line needs to go through the points (0,0) and (2,5).

With y=5/2x, there is no y-intercept, so it starts on the origin, (0,0). With the slope 5/2, you would rise 5 (y) from the origin, and run 2 (x), which gives you the point (2,5).

4 0
1 year ago
What's the value of given expression :<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B9%7D%20" id="TexFormula1" title=" \
shusha [124]

Answer:

\sqrt{9}  =  \sqrt{3 \times 3}  = 3 \\ thank \: you

4 0
2 years ago
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Translate the sentence into an equation.
Liula [17]

Answer:

b + 2 = 6

Step-by-step explanation:

This may not be the right answer, but its what I think it is.

3 0
3 years ago
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