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Oliga [24]
3 years ago
12

Does anyone know how to solve |4x+3|-9<5

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer in fraction form:   -17/4 < x < 11/4

Answer in decimal form:   -4.25 < x < 2.75

=======================================================

Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

|4x+3| < 14

-14 < 4x+3 <  14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

-17 < 4x < 11

-17/4 < x < 11/4 .... divide all sides by 4

-4.25 < x < 2.75

This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

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Jennifer had a 7/8- foot board. She cut off a 1/4 foot piece that was for a project. In feet, how much of the board was left
Tems11 [23]

Answer: There was 5/8 of a foot of board left.

Step-by-step explanation:

Step 1. We need to subtract 1/4 from 7/8. To do this make it where both fractions have the same denominator.

Step 2. The easiest way to do this is to multiply 1/4 by 2.

1/4*2/2=2/8.

Step 3. Now all you got to do is subtract 2/8 from 7/8.

7/8-2/8= 5/8.

7 0
4 years ago
If Richard can paint their living room in 4 hours, and Vanessa can paint the same living room in 5 hours, then how long will it
Tju [1.3M]

Answer:

2 hrs 13 mins

Step-by-step explanation:

If Richard can paint the living room in 4 hrs, then in 1 hour he can paint 1/4 of the living .

If Vanessa can paint the living room in 5 hours, then in one hour, she can paint 1/5 of the living room.

In one hour Richard and Vanessa can paint 1/4 + 1/5 = 1/y

y is the number of hours it will take both Richard and Vanessa to paint the living room. 1/y is how much of the house they can paint in one hour.

1/4 + 1/5 = 1/y

(5 + 4)/20. ( find the LCM)

9/20 = 1/y

9y= 20

y = 20/9

y = 2.22hrs

y = 2 hrs 13 mins

4 0
4 years ago
Your last doctor visit cost $105 health insurance through your employer pay $84 and you pay the remaining $21 what percentage of
Lubov Fominskaja [6]

Answer:20% percentage of the cost you pay .

Step-by-step explanation:

Formula

As given

Your last doctor’s visit cost $105.

Health insurance through your employer paid $84, and you paid the remaining $21.

Part value = $21

Total value = $105

Put all the values in the formula

Percentage = 20%

Therefore the 20% percentage of the cost you pay .

4 0
3 years ago
Read 2 more answers
At Midland Elementary, there are 22 students in each of seven fourth- grade classes. How many students are in fourth-grade at Mi
qwelly [4]
154 students are in fourth grade at Midland
7 0
3 years ago
Show your work and hurry please
spayn [35]

Answer:

15

Step-by-step explanation:

Note: Take note , absolute value will give the magnitude of the value. (Which means ignoring the + / - signs.)

Eg. | - 19 | = 19

Therefore,

\frac{12(30 - (9 +  {4}^{2})) }{10 -  | - 6| }  \\  =  \frac{12(30 - (9 + 16))}{10 - 6}  \\  =   \frac{12(30 - 25)}{4}  \\  =  \frac{12(5)}{4}  \\  =  \frac{60}{4}  \\  = 15

4 0
2 years ago
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