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slega [8]
3 years ago
15

2m-6=4m+8 how do i answer this in algebraic proof

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

m=-7

Step-by-step explanation:

You begin with the equation:

2m-6=4m+8

The first step of this would be to subtract 2m from both sides. This is the subtraction property of equality.

-6=2m+8

The next step would be to subtract 8 from both sides. This is the subtraction property of equality.

-14=2m

Next, divide both sides by 2. This is the division property of equality.

-7=m

The final step would be the symmetric property of equality.

m=-7

Therefore your proof would have the steps:

subtraction property of equality

subtraction property of equality

division property of equality

symmetric property of equality

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Every evening Jenna empties her pockets
rodikova [14]

Answer:

15

Step-by-step explanation:

1 dime = 10

1 quarter=25

x=number of coins - dimes

y= number of coins - quarters

x (10)+y(25)=10.25

x+y=50

x= 50-y

x(10)+y(25)=1025

(50-y)(10)+25y =1025

500-10y+25y=1025

500+15y=1025

15y= 1025 - 500

15y=525

y=525/15

y=35

x= 50-35=15

3 0
2 years ago
Tasha invests $5,000 annually at 6% and an additional $5,000 annually at 8%. Thomas invests $10,000 annually at 7%. Which statem
Setler79 [48]

Answer:

B is correct.

Step-by-step explanation:

Compound Interest Formula:

V(t)=P(1+\frac{r}{n})^{nt}

Tasha invests in two ways

Case 1:

  • Principal P=$5,000
  • Rate of Interest r=0.06
  • Time t=t
  • n=1

V(t)=5000(1+0.06)^t

V(t)=5000(1.06)^t

Case 2:

  • Principal P=$5,000
  • Rate of Interest r=0.08
  • Time t=1
  • n=1

V(t)=5000(1+0.08)^t

V(t)=5000(1.08)^t

Total amount yield by Tasha = 5000[(1.06)^t+(1.08)^t]

Thomas Investment

  • Principal P=$10,000
  • Rate r= 0.07
  • t=t
  • n=1

Total amount yield by Thomas = 10000(1.07)^t

Now we make table for Tasha and Thomas different value of t

    t                  Tasha                  Thomas

   1                  $10,700                 $10,700  

   2                 $11,450                  $11,449

   3                 $12,254                 $12,250

   4                 $13,115                  $13,108

In table we can see Tasha investment will yield more from Thomas.

Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

8 0
2 years ago
Read 2 more answers
Use the picture below to find the length of x. Round your answer to the nearest hundredth.
valentinak56 [21]

Answer: 6.71

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

Work Shown:

The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.

Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x

a^2 + b^2 = c^2

3^2 + 6^2 = x^2

9 + 36 = x^2

45 = x^2

x^2 = 45

x = sqrt(45)

x = 6.7082039

x = 6.71

4 0
2 years ago
(-3.8)+(-21.14)+(-0.55)
DerKrebs [107]

Answer:

-25.49

Step-by-step explanation:

(-3.8)+(-21.14)+(-0.55)

-3.8-21.14-0.55

-25.49

7 0
2 years ago
Read 2 more answers
What is the slope of the line represented by the equation y = x – 3?
leonid [27]
I THINK ITS C GOODLUCK
7 0
2 years ago
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