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svetoff [14.1K]
2 years ago
5

Can someone please help me on this question. I need to turn this in by Wednesday.

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
5 0
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How do I solve this?
maksim [4K]

Answer:

Answer A represents this

x <= -3  ;  x > 9

Step-by-step explanation:

Isolate x on each of the inequalities:

4 x + 4 <= - 8

subtract 4 from both sides

4 x <= - 12

divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)

x <= -3

This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.

The other inequality:

11 x - 11 > 88

add 11 to both sides

11 x > 99

divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)

x > 9

This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.

4 0
3 years ago
The ratio of boys to girls in a school is 4:5. How many boys are in the school if there are 720 students.
scZoUnD [109]

Answer: 320 boys

Step-by-step explanation: you would first take the total number (720) and divide it by the total number shown in the ratio (5+4=9)

720/9= 80

You would then take 80 and multiply it by 4 because that is the number representing the boys

80*4= 320

7 0
3 years ago
Henry wants to buy a new table saw for his carpentry shop. He has saved $360 which is 2/3 of the price of the saw. How much does
Tema [17]

If 360 is 2/3 of the full price on a saw then your equation should look like this:

360=\frac{2}{3} *x

x is your unknown full price of the saw. Just solve for x now.

360=\frac{2}{3} *x\\ \\ x=\frac{3}{2} *360=540

This means that the full price is $540.

Hope this helps!

5 0
2 years ago
The dimensions of an iPhone are x – 2 and x + 3. If the area of an iPhone is 14 square inches, find the dimensions of the iPhone
QveST [7]

Answer:

The dimensions of the iphone are 2 inches by 7 inches.

Step-by-step explanation:

Given that,

The dimensions of an iPhone are x – 2 and x + 3.

The area of an iphone is 14 sq inches

We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :

A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5

Neglecting negative value

First dimension = (x-2) = (4-2) = 2 inches

Other dimension = (x+3) = (4+3) = 7 inches

Hence, the dimensions of the iphone are 2 inches by 7 inches.

3 0
3 years ago
How many cubic centimeters of water can this paper cone cup hold?
RUDIKE [14]
By definition, the volume of a cone is given by:
 V = (1/3) * (pi) * (r ^ 2) * (h)
 Where,
 r: cone radius
 h: height of the cone
 Substituting values:
 V = (1/3) * (3.14) * ((8/2) ^ 2) * (9)
 V = 150.72 cm ^ 3

 Answer:
 this paper cone cup can hold:
 
V = 150.72 cm ^ 3
8 0
3 years ago
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