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4 years ago

Can you explain how to do this?

Mathematics

1 answer:

ivanzaharov [21]4 years ago

3 0

Hi there! The answer is x = 1

Let's solve this problem step by step!
$8(10) {}^{2x} = 800$

First divide both sides of the equation by 8.
$10 {}^{2x} = 100$

Now rewrite 100 as a power of 10.
$10 {}^{2x} = 10 {}^{2}$

Now we can use the following rule, which basically means that two different exponents of the same base must be the same
${g}^{a} = {g}^{b} \\ a = b$

We now get this.
$2x = 2$

Finally divide both sides by 2.
$x = 1$

~ Hope this helps you!

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Ingedients to make 16 gingerbread men

11111nata11111 [884]

24 is 16 multiplied by 1.5: 1.5*16=24

that means that we have to multiply all the amounts of the ingredients by 1.5 to keep the same ratio and make more gingerbread:

180 g flour*1.5=270 grams flour
40 g ginger *1.5=60 grams ginger
110 g butter *1.5 =165 gram butter
30 g sugar*1.5=45 grams sugar

3 0

3 years ago

A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f

vredina [299]

Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

P(x)=100-x

Revenue=x*p(x)

=x*(100-x)

=100x-x^2

Cost=Revenue

1600+20x=100x-x^2

1600+20x-100x+x^2=0

1600-80x+x^2=0

Solve using quadratic formula

Formula where

a = 1, b = 80, and c = 1600

x=−b±√b2−4ac/2a

x=−80±√80^2−4(1)(1600) / 2(1)

x=−80±√6400−6400 / 2

x=−80±√0 / 2

The discriminant b^2−4ac=0

so, there is one real root.

x= −80/2

x= -40

5 0

3 years ago

Having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old. They can

DanielleElmas [232]

having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old

6 0

3 years ago

At a cafe, for every 5 sodas sold there are 9 teas sold. What is the ratio of teas sold to sodas sold? A) 5 : 9 B) 9 : 5 C) 9 :

frutty [35]

For 5 sodas sold, there are 9 teas sold

the ratio is tea: soda, or 9:5

B) 9:5 is your answer

hope this helps

7 0

3 years ago

Read 2 more answers

Let omega be a complex number such that omega^3 = 1. Find all possible values of {1}{1 + \omega} + {1}{1 + \omega^2}. Enter all

Norma-Jean [14]

Answer:

1 is Answer.

Step-by-step explanation

$\frac{1}{1+omega^{2} } + \frac{1}{1+omega }\\$

= $\frac{(-1)*(omega + 1)}{omega^{2} }$

As we know that ω²+ω+1=0

Thus putting in above equation, we get

= $\frac{1}{(-1)*omega } + \frac{1}{(-1)*omega^{2} }$

Rearranging and simplifying:

= $\frac{-1}{omega } + \frac{-1}{omega^{2} }$

= $\frac{(-1)*(omega + 1)}{omega^{2} }$

= $\frac{(-1)*(- omega^{2} )}{omega^{2} }$

= 1 Answer

8 0

3 years ago