All categories

3 years ago

Solve for x. 4x-4<8 AND 9x+5>23

Mathematics

2 answers:

pogonyaev3 years ago

6 0

4x-4<8

Add 4 on both sides

4x<12

Divide 4 on both sides

x<3

9x+5>23

Subtract 5 on both sides

9x>18

Divide 9 on both sides

x>2

*for reference, I will go ahead and add in that x will be greater than 2 and less than 3

2<x<3

Hope I helped!!

Anna007 [38]3 years ago

4 0

Answer:

2 < x < 3

Step-by-step explanation:

4x - 4 < 8
9x + 5 > 23

Solve for x in the first equation. Add 4 to both sides.

4x < 12

Divide both sides by 4.

x < 3

Solve for x in the second equation. Subtract 5 from both sides.

9x > 18

Divide both sides by 8.

x > 2

We know that x is greater than 2 but less than 3, therefore:

2 < x < 3

You might be interested in

Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl i

jarptica [38.1K]

Answer:

Bianca's height = 42 inches

Step-by-step explanation:

Let x be the Bianca height.

Given:

Meredith height = 60 inches

We need to find the Bianca height.

Solution:

From the given statement the Meredith's height is $\frac{2}{3}$ of Bianca's height plus 32 inches, so the equation is.

Meredith's height = $\frac{2}{3}(Bianca\ height)+32$

Substitute Meredith's height in above equation.

$60=\frac{2}{3}x+32$

Now we solve the above equation for x.

$\frac{2}{3}x=60-32$

$\frac{2}{3}x=28$

By cross multiplication.

$x=\frac{3\times 28}{2}$

28 divided by 2.

$x= 3\times 14$

$x=42\ in$

Therefore, the height of the Bianca is 42 inches.

7 0

3 years ago

claudia bought a television at a 25% discount . the original price of the television was $349. there wasa 7% sales tax. how much

Scrat [10]

349 * .75 = $261.75
$261.75 * 1.07 = $280.07

6 0

3 years ago

3/2b+5=20−b pls help solve

victus00 [196]

Answer:

b=6

Step-by-step explanation:

8 0

3 years ago

3x - 3y = 9 and x + 3y = 12 <br> Elimination

Firlakuza [10]

Answer:

$x=5.25,y=2.25$

Step-by-step explanation:

We can add the two equations to eliminate the variable $y$ and solve for $x$ :

$3x-3y+x+3y=9+12$

$4x=21$

$x=5.25$

Now, we can use substitution to solve for $y$ :

$x+3y=12$ (given)

$5.25+3y=12$

$3y=12-5.25$

$=6.75$

$y=2.25$

Hope this helps :)

8 0

3 years ago

Please help me ASAP! thank you ^-^ As part of a new advertising campaign, a beverage company wants to increase the dimensions of

ipn [44]

Answer:

B 137.32 cm³

Step-by-step explanation:

The original volume is

V = pi r^2 h

V = pi (3)^2 ( 12)

V =108 pi cm^2 = 339.12

the diameter increases by 1.12 6*1.12 = 6.72

r = 6.72 /2 =3.36

The height will increase by 1.12 so 12*1.12

V = pi ( 3.36)^2 ( 13.44)=476.4391834

The difference is

476.4391834 - 339.12 = 137.3191834

To the nearest hundredth

137.32

5 0

3 years ago