64^x=16^x-1====> Make the bases the same
4^3(x)=4^2(x-1)=> Solve for x by bringing down the exponent without the base.
3(x)=2(x-1)=====> Distribute
3x=2x-2======> Now solve for x
3x = 2x-2
-2x -2x
x=-2
Therefore x is negative two

7 0

2 years ago

Read 2 more answers

Find the area under the standard normal curve between z = −2.57 and z = 1.27. Round your answer to four decimal places, if neces

dexar [7]

P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)

P(Z ≤ 1.27) = 0.8980
P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57) = 1 - 0.99488 = 0.00512

P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512 = 0.89288
0.8929 (4 d.p.)

4 0

3 years ago

The difference of a number and nine is three. Find the number.

larisa86 [58]

Answer:

Step-by-step explaimation:

Let's say x is the number we are trying to find.

9 = 3*(x-2)

9 = 3x -6

3x = 15, x = 5

Please leave a heart and a thanks!

5 0

2 years ago

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Lisa's penny bank is 1/10 full. After she adds 440 pennies, it is 3/5 full. How many pennies can Lisa's bank hold?

aksik [14]

Answer:

Step-by-step explanation:

After the 440 pennies are added, the bank is 3/5 full. It started out 1/10 full, so

3/5 - 1/10 is the amount of space in the bank that the 440 pennies took up, or

1/2. Use proportions to solve this, with number of pennies on the top and the fraction of the bank that is filled on the bottom:

$\frac{440}{\frac{1}{2} }=\frac{x}{1}$

where x is the number of pennies (our unknown) that it will take to fill the bank (1). Cross multiply to get

$\frac{1}{2}x=440$

so x = 880

4 0

2 years ago

Solve 3e = -27 show workthis one i dont understand how to do​

Solve 3e = -27 show workthis one i dont understand how to do