MATHEMATICS MIDDLE SCHOOL

How to work out:
5x+1=2x-8

Answers

Answer 1
Answer: 5x+1=2x-8 \n 5x-2x=-8+1 \n 3x=-7 \n x=-7/3

S= {-7/3}
Answer 2
Answer: 5x+1=2x-8
3x=-7
x=-7/3

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15^1/5 rewrite in radical form

Answers

Answer:

\sqrt[5]{15}

Step-by-step explanation:

A number to 1/5 is the \sqrt[5]{n}

A number to 1/3 is the \sqrt[3]{n}

So, since the number is 15 to the 1/5, it is \sqrt[5]{15}

Answer:  \sqrt[5]{15}

Answer:

15^{(1)/(5) } = \sqrt[5]{15}

Step-by-step explanation:

recall that

a^{(1)/(b) } = \sqrt[b]{a}

if we apply this to our case,

15^{(1)/(5) } = \sqrt[5]{15}

A graphic designer created a logo on 8 1/2 by 11 inch paper. In order to place on a business card the logo needs to be 1 7/10 inches by 2 1/5. What is the scale factor of the dilation?

Answers

k  - scale factor
a = 8 1/2
b = 11
a₁ = 1 7/10
b₁ = 2 1/5


k = (a_1)/(a)=\frac{b_1}b\n\n\n(a_1)/(a)=(1 (7)/(10))/(8\frac12)=1 (7)/(10):8\frac12=(17)/(10):\frac{17}2=(17)/(10)\cdot\frac2{17}=\frac15\cdot\frac11=\frac15\n\n\n(b_1)/(b)=(2 (1)/(5))/(11)=2\frac15:11=(11)/(5)\cdot\frac1{11}=\frac15\cdot\frac11=\frac15 \n\n\n(a_1)/(a)=\frac{b_1}b=\frac15\ \ \ \implies\ \ \ k=\frac15

Solve the simultaneous linear equation: 6x-y=23
3y+6x=11​

Answers

Answer:

( (10)/(3), - 3 )

Step-by-step explanation:

Given the 2 equations

6x - y = 23 → (1)

3y + 6x = 11 → (2)

Subtracting (2) from (1) term by term eliminates the term in x

(6x - 6x) + (- y - 3y) = (23 - 11), that is

- 4y = 12 ( divide both sides by - 4 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting in (1)

6x - (- 3) = 23

6x + 3 = 23 ( subtract 3 from both sides )

6x = 20 ( divide both sides by 20 )

x = (20)/(6) = (10)/(3)

Solution is ( (10)/(3), - 3 )

Change 2x+2y=6 into y=mx+b format please!!!

Answers

If you want it in that format and simplified, this is it. y=-x+3
If you dont need it simplified then the answer is 2y=-2x+6
y=-1x+3 or y=-x+3

Because x is 1 so either one would work. :)

In the given figure , if AB  l  BD  , then the value of x is

Answers

In the figure as we can see - 

Angle 32 = Angle DAB                            (vertically opposite angles)

Angle ABD = 90 degrees

And we know that,

Sum of all angles of triangle =180 degrees

So,

32+90+x+14=180

136+x=180

x=180-136

x=44 degrees
x+14+90+32=180\n x=44

As a salesperson, you are paid $92 per week plus $4 per sale. This week you want your pay to be at least $200. Write an inequality for the number of sales you need to make, and describe the solutions.

Answers

The inequality function should be 4x + 92 ≥ 200.

Given that,

  • As a salesperson, you are paid $92 per week plus $4 per sale.
  • This week you want your pay to be at least $200.

Based on the above information, the equation is as follows:

4x + 92 ≥ 200.

Learn more:brainly.com/question/5101300?referrer=searchResults
4x + 92 ≥ 200 

the $92 are regardless and you make $4 every sale (x) to solve this you would multiply the number of sales (x) by 4 then add the initial 92 
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