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Irina-Kira [14]
3 years ago
14

At a college, the tuition increased by 10%. Let b be the former cost of tuition. Use the expression b + 1.10b for the new cost o

f tuition. Write an equivalent expression by combining like terms
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Given:

At a college, the tuition increased by 10%. Let b be the former cost of tuition.

Use the expression b + 0.10b for the new cost of tuition.

To find:

The equivalent expression by combining like terms.

Solution:

We have,

b + 0.10b

On combining the like terms, we get

b + 0.10b=1.10b

Therefore, the required equivalent expression is 1.10b.

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Find the slope of the line through P(5.7) and Q(-1,7).​
VARVARA [1.3K]

We can use the points given to solve for the slope.

Slope formula: y2-y1/x2-x1

7-7/-1-5

0/-6

Since the numerator is 0, the slope is 0.

Best of Luck!

8 0
3 years ago
The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is . The range of all real numbers x such that 2x − 5
lisov135 [29]

Solution for Part 1:

2x − 5 < 7 and 4x + 10 > 6 is called a compound inequality. To find the range we need to solve each of the inequality and range would be the values of x which will make both the inequality TRUE.

Solving inequality 2x - 5 < 7:

2x - 5 < 7 {adding 5 on both sides}

2x - 5 + 5 < 7 + 5 {Combining like terms in either side of inequality}

2x < 12 {Dividing 2 on both sides}

2x/2 < 12/2 {Simplifying fraction in either side of inequality}

x < 6

Solving inequality 4x + 10 > 6:

4x + 10 > 6 {Subtracting 10 on both sides of inequality}

4x + 10 - 10 > 6 -10 {Combining like terms on either side}

4x > -4 {Dividing by 4 on both sides}

4x/4 > -4/4 {Simplifying each fraction}

x > - 1

Range of 2x − 5 < 7 and 4x + 10 > 6 will be all the x value which satisfy both the inequality x < 6 and x > -1.

Conclusion Part 1:

The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is can be given by interval notation (-1, 6)

Solution for part 2:

2x − 5 < 7 or 4x + 10 > 6 is called a compound inequality. To find the range we need to solve each of the inequality and range would be the values of x which The solution is same as part 1, with a small difference.

Range of 2x − 5 < 7 or 4x + 10 > 6 will be all the x value which satisfy any one of the inequality x < 6 or x > -1.

Conclusion Part 2:

The range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is can be given by interval notation (-∞, ∞)

Note:

(i) When two inequalities are joined by the word and, the solution of the compound inequality occurs when both inequalities are true at the same time. It is the overlap, or intersection, of the solutions for each inequality.

(ii) When the two inequalities are joined by the word or, the solution of the compound inequality occurs when either of the inequalities is true. The solution is the combination, or union, of the two individual solutions.

6 0
3 years ago
A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated th
Allisa [31]

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

7 0
3 years ago
SOMEONE HELP PLS ILL GIVE BRAINLIEST FOR CORRECT ANSWER !
Tamiku [17]

Answer:0.231

Step-by-step explanation:

3 0
3 years ago
6415 divided 32 estimate
dsp73

Answer:

200

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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