1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Damm [24]
3 years ago
5

(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.​

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer:

x=-2

Step-by-step explanation:

(2/3)^x-1=27/8

Rewriting the right hand side

(2/3)^x-1=(3/2)^3

We know that a^-b = 1/a^b  Hint: { 1/(3/2) = 2/3}

(2/3)^x-1=(2/3) ^-3

The bases are the same, so the exponents are the same

x-1 = -3

x -1+1 = -3+1

x = -2

You might be interested in
Joseph took a taxi from his house to the airport. The taxi company charged a pick-up
JulsSmile [24]

Answer:

$21.10=3.10+2m.

Step-by-step explanation:

If the total fare was $21.50, then that is what it will all have to equal out to.

They charged a pick-up fee of $3.10. Which means that no matter how far you go, you will pay that. Then an extra $2 per mile. If m is mile, then it would be 2m because it is $2 per extra mile. Then add the pick-up fee of $3.10 and you will get your answer of $21.50=3.10+2m.

7 0
3 years ago
HELP i need help quickly please
guajiro [1.7K]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.
Sav [38]

Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

8 0
3 years ago
(I am giving branlest) (plz help only if you understand )
Vladimir [108]

Answer:

its 11/14 so its B hope this helps

3 0
2 years ago
Please help with this question!!
Dahasolnce [82]
To get from 3 to 4 it’s 4/3
so 5.2 x 4/3 = 6.9 (1 d.p.)
6.9 - 5.2 = 1.7
X= 1.7
sorry If this is wrong :/
4 0
2 years ago
Other questions:
  • Brian and Katie have $40 to spend at the store.
    10·2 answers
  • HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B.
    8·1 answer
  • Graph a parabola whose x-intercepts are at x = -3 and
    11·1 answer
  • Solve for x.<br><br> x/2 ≥ −4
    13·1 answer
  • HEY! HELP PLEASE, ASAP!! THANKS SO MUCH!!!! ​
    6·1 answer
  • Is this relation a function?
    13·1 answer
  • 16. x + 8
    9·1 answer
  • Determine two positive numbers whose product is 360, and the sum of one of the numbers and 10 times the other number is a minimu
    12·1 answer
  • Helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelpvv
    9·2 answers
  • 1+1+1+1+1+11+1+1+1+1+
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!