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Ivahew [28]
3 years ago
7

Solve the inequality and graph the solution |7x-7|+2<23

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

|7x-7|+2 < 23\ \ \ \ \ |-2\\\\|7x-7| < 21\iff7x-7 < 21\ \wedge\ 7x+7 > -21\ \ \ \ \ \ |+7\\\\7x < 28\ \wedge\ 7x > -14\ \ \ \ \ \ \ |:7\\\\x < 4\ \wedge\ x > -2\\\\-2 < x < 4

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BRAINLIEST IF CORRECT 40 POINTS
kati45 [8]

Answer:

D. The checking account is overdrawn by $15.

Step-by-step explanation:

Since the balance on a checking account represents the remaining money left in that checking account, having a negative value for that would mean an overdrawing of money, or drawing more money than is in that account in the first place.

Therefore, the answer would be that the checking account is overdrawn by $15.

Hope this helped!

4 0
3 years ago
Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'
monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

a - Ali's money.

b - Bryan's money.

c - Carrie's money.

(ii) <em>Bryan's money was </em>\frac{3}{5}<em> of  Ali's money</em>.

b = \frac{3}{5}\cdot a (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

\frac{a}{c} = 4 (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

a = b + 160 (3)

After some algebraic handling, we have the following system of linear equations:

3\cdot a - 5 \cdot b = 0 (1b)

a - 4\cdot c = 0 (2b)

a - b = 160 (3b)

The solution of the system is: a = 400, b = 240, c = 100

The sum of money is:

s = a + b + c

s = 740

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0
3 years ago
Help, please!!!!!!!!!!!!!!! i will GIVE 40 POINTS!!!!!!!! DO all of them!!!!!!!!!!!!!!
andre [41]
The answer for the first one .

5 0
3 years ago
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I think its 20 pounds per 17 square feet (simplest form) 
8 0
3 years ago
WILL GIVE FIRST ANSWER BRAINLIEST
DedPeter [7]
My answer is D.(5, -2)
4 0
3 years ago
Read 2 more answers
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