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MA_775_DIABLO [31]
3 years ago
11

Under his cell phone plan, Parker pays a flat cost of $36.50 per month and $5 per gigabyte. He wants to keep his bill under $45

per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Parker can use while staying within his budget.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:  Parker can use 1.7 gigabytes to stay within his budget.

Step-by-step explanation:

If Parker pays a  flat cost of $36.50 and has to pay $5 a month then we can represent it by the  36.50 + 5gg  where gg is the number of gigabytes.

If  he has to keep his bill under $45 , then 36.50 + 5gg has to be less than 45.

36.50 + 5gg < 45.   Now solve for gg

-36.50             36.50

   5gg < 8.5

  gg< 1.7

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Find the average rate of change for the function f(x)=3.2 + 25
wel

The average rate of change of the function is: 3.2.

<h3>What is the Average Rate of Change for a Function?</h3>

Average rate of change = \frac{f(b) - f(a)}{b - a}

Given the function, f(x) = 3.2x + 25, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:

a = 2

b = 6

f(a) = f(2) = 3.2(2) + 25 = 31.4

f(b) = f(6) = 3.2(6) + 25 = 44.2

Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.

Learn more about average rate of change on:

brainly.com/question/11627203

3 0
2 years ago
Select the correct answer.
Brums [2.3K]

Answer:

5 4/9

Step-by-step explanation:

Convert a mixed number 2 19

to a improper fraction: 2 1/9 = 2 19 = 2 · 9 + 19 = 18 + 19 = 199

To find new numerator:

a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 99 = 189

b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19

c) Write a previous answer (new numerator 19) over the denominator 9.

Two and one ninth is nineteen ninths

Add: 19

9+ (-29) = 19 + (-2)9= 179

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nineteen ninths plus minus two ninths = seventeen ninths.

Conversion a mixed number 3 59

to a improper fraction: 3 5/9 = 3 59= 3 · 9 + 59= 27 + 51 = 329

To find new numerator:

a) Multiply the whole number 3 by the denominator 9. Whole number 3 equally 3 * 99 = 279

b) Add the answer from previous step 27 to the numerator 5. New numerator is 27 + 5 = 32

c) Write a previous answer (new numerator 32) over the denominator 9.

Three and five ninths is thirty-two ninths

Add: the result of step No. 2 + 32

9= 179+ 329 = 17 + 329 = 499

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seventeen ninths plus thirty-two ninths = forty-nine ninths.

7 0
3 years ago
In the figure below, XZ =DF and _X = D.
yuradex [85]

Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements                               Reasons

1). XZ ≅ DF                                 1). Given

2). ∠X ≅ ∠ D                              2). Given

3). XY ≅ DE                                3). Required information

4). ΔXYZ ≅ ΔDEF                      4). By SAS property of congruence

Therefore, Option (4) will be the answer.

4 0
3 years ago
What is 18 minus 4 8/9
Step2247 [10]

The answer is 13.1111111111. Hope this helps!

7 0
3 years ago
Read 2 more answers
Two sporting goods stores are having discount sales on basketballs at one store a basketball is on sale for 25% off the regular
Reil [10]

Answer:

0.66

Step-by-step explanation:

24.95 x 25%=6.23

24.94 - 6.23 = 18.72

25.80 x 30% = 7.74

25.80 - 7.74 = 18.06

18.72 -18 .06 = 0.66

7 0
3 years ago
Read 2 more answers
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