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1 year ago

14

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

1 answer:

Nady [450]1 year ago

3 0

Answer:

x>3

Step-by-step explanation:

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

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Bessie has an annual salary of $51,360. Each month she has a car payment of $210 and a student loan of$50. If she applies for a

Svetach [21]

Every month she makes 4280 usd. $51,360/12 months...she pays her debt ($260) a month.....she will be approved. 1:16 Ratio

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2 years ago

Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi

timama [110]

Answer:

(a)The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

(b)Therefore, the length of the fence is $97\frac{1}{2}$ feet$

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

$y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet$

Similarly:

$x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet$

The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

(b)Length of the Fence

The fence is rectangular shaped with:

Length = $31\frac{1}{2}$ feet$

Width = $17 \frac{1}{4}$ feet$

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

$=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet$

8 0

3 years ago

Kim solved the equation below by graphing a system of equations. log base 2 (3x-1) = log base 4 (x+8)

kompoz [17]

Answer:

solution is

$x=1.353,y=1.613$

Step-by-step explanation:

We are given equation as

$log_2(3x-1)=log_4(x+8)$

Firstly, we will find equations

First equation is

$y=log_2(3x-1)$

Second equation is

$y=log_4(x+8)$

now, we can draw graph

and then we can find intersection point

we can see that

intersection point is (1.353,1.613)

so, solution is

$x=1.353,y=1.613$

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2 years ago

Read 2 more answers

Whats the next number 2 7 8 3 12 9

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