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Gekata [30.6K]
2 years ago
14

Show the steps and name the properties you used to solve the equation below

Mathematics
1 answer:
DochEvi [55]2 years ago
6 0

Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

3x

3

=

−6.333333

3

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

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dolphi86 [110]

x² - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Answer: One zero, x=4

8 0
2 years ago
In a sale normal prices are reduced by 10% natalie bought a pair of shoes in the sale for £54
Nookie1986 [14]

Answer:

60

Step-by-step explanation:

Steps to solve "54 is 90 percent of what number?"

We have, 90% × x = 54

or,  

90/100  × x = 54

Multiplying both sides by 100 and dividing both sides by 90,

we have x = 54 ×  100/90  

x = 60

If you are using a calculator, simply enter 54×100÷90, which will give you the answer.

4 0
2 years ago
3 5/12 as a improper fraction
dimulka [17.4K]

Answer:

41/12

Step-by-step explanation:

3 x 12 = 36 then you add 5 to get 41.

6 0
3 years ago
Read 2 more answers
How do i solve this??????
Elenna [48]
You have to try. You can do this.
8 0
3 years ago
Allen is horrible at managing his money. For example, he
N76 [4]

Answer:

$80,000

Step-by-step explanation:

<u>Define the variables</u>:

Let x =  "fish-flavored" chicken company investment (in dollars)

Let y = spray-on vitamins company investment (in dollars)

If Allen invested a total of $100,000:

⇒ x + y = 100000

Given:

  • 3% profit on "fish-flavored" chicken investment
  • 1% profit on pray-on vitamins investment
  • Total profit = $2,600

⇒ 0.03x + 0.01y = 2600

Rewrite the first equation to make y the subject:

⇒ y = 100000 - x

Substitute into the second equation and solve for x:

⇒ 0.03x + 0.01(100000 - x) = 2600

⇒ 0.03x + 1000 - 0.01x = 2600

⇒ 0.02x + 1000 = 2600

⇒ 0.02x = 1600

⇒ x = 80000

Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.

6 0
1 year ago
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