25) (1,-5) parallel to y = - 10x

I need to calculate X 2^x=200 Solve for x

antoniya [11.8K]

Remember
$log(a^z)=zlog(a)$
so

notice that 200=2*2*2*5*5, so x cannot be a whole number

take the log base 10 of both sides

$log_{10}(2^x)=log{10}(200)$
$xlog_{10}(2)=log{10}(200)$
divide both sides by $log_{10}(2)$
$x= \frac{log_{10}(200)}{log_{10}(2)}$

if we used $log_{2}$ instead of $log_{10}$ we would get
$x= log_{2}(200)$ because $log_{a}(a^b)=b$

8 0

3 years ago

What fraction below is NOT equivalent to 1/5? *

bogdanovich [222]

1.3/8 I THINK
2.12
3.True
4.67.118
5. 180
6. 22/ 5
7. 7/4
8.1/8

I hope It'll help you!

4 0

2 years ago

Kevin bought 2 pairs of jeans that were originally $40 per pair but were each marked down by $15 and 3 t-shirts for $12 each. He

ryzh [129]

Answer:

Therefore, Kevin spent $56.

Step-by-step explanation:

We know that the Kevin bought 2 pairs of jeans that were originally $40 per pair but were each marked down by $15 and 3 t-shirts for $12 each. He also used a coupon for $10 off his entire purchase.

Therefore, we have 2 pairs of jeans for $15 and 3 t-shirts for $12 each and a coupon for $10 off his entire purchase.

We calculate the total amount he spent.

$2\cdot 15+3\cdot 12-10=30+36-10=56$

Therefore, Kevin spent $56.

4 0

3 years ago

Y=x +5 5x + 2y=1 Can you show the steps thanks

lubasha [3.4K]

Answer:

(-9/7,-26/7)

[more detailed at the bottom of the explanation]

Step-by-step explanation:

I am assuming that this is a system of equations...

So, knowing that y is equal to x + 5, you would plug that in the second equation and find x. Then you would plug x and find y.

—————

Step 1)

Equation 1:

y = (x + 5)

Equation 2:

5x + 2y = 1

Equation 2 can also be written as:

5x + 2(x+5) = 1

I wrote x+5 instead of y because the first equation tells us that y is equal to x + 5.

—————

Step 2)

Solve for x .

5x + 2(x+5) = 1

5x + 2x + 10 = 1

7x + 10 = 1

7x = 1 - 10

7x = -9

x = -9/7

—————

Step 3)

Plug the x value back in the first equation.

y = -9/7 + 5

y = -26/7

—————

Solution:

x = -9/7

y = -26/7

In ordered pair form:

(-9/7,-26/7)

————— ————— —————

Hope this helps !!!!!!!

5 0

3 years ago

Hi , step by step please

Zigmanuir [339]

Answer:

Eldest: $335,500 Middle: $182,750 Youngest: $167,750

Step-by-step explanation:

Let's represent the amount of money the youngest sibling received as x.

The amount the eldest received can be represented as: 2x

The amount the middle sibling received can be represented as: x + 15,000

If we combined the amount of money that all of the siblings received, it would be $686,000. We can write this as an equation:

686,000 = 2x + (x + 15,000) + x

Now let's solve for x. First, combine like terms

686,000 = 4x + 15,000

Subtract 15000 from both sides to isolate the 4x

671,000 = 4x

Divide both sides by 4 to isolate the x

167,750 = x

Now we know that the amount of money the youngest received is $167,750. We can use this amount to figure out how much the other two siblings received.

Eldest: 2 * 167,750 = $335,500

Middle: 167,750 + 15,000 = $182,750

We can check to make sure these answers are correct by adding them all together to make sure that they equal 686,000

167,750 + 335,500 + 182,750 = 686,000

7 0

3 years ago

25) (1,-5) parallel to y = - 10x - 3