2/9 is 32/144 in simplest form
Answer:
(1, –5)
Step-by-step explanation:
It is relatively easy to try the offered solutions to see what works.
<u>(1, -5)</u>
3(1) +10(-5) = -47 . . . true
5(1) -7(-5) = 40 . . . true
(1, -5) is the solution
_____
As a check, you can try some of the other choices:
<u>(1, 5)</u>
3(1) +10(5) ≠ -47
<u>(-1, -5)</u>
3(-1) +10(-5) ≠ -47
<u>(-1, 5)</u>
3(-1) +10(5) ≠ -47
None of the other choices works in the first equation, so they're not the solution.
It will take 19 years and 6 months for the account value to reach 2900 dollars
Step-by-step explanation:
Given
Principal amount = 1400 dollars
Rate = 5.5 %
Final value = A = 2900
We have to find t
So,
The formula for simple interest is:

Putting values

Dividing both sides by 0.055

Rounding off to nearest tenth
19.5 years
Hence,
It will take 19 years and 6 months for the account value to reach 2900 dollars
Keywords: Interest, simple interest
Learn more about interest at:
#LearnwithBrainly
Answer:
26: x=34
28: x=17
30: m=30
Step-by-step explanation:
<u>26:</u> 2x+22=90
subtract 22
2x=68
divide by 2
x=34
<u>28:</u> 18+3x+21=90
add 18 and 21
3x+39=90
subtract 39
3x=51
divide by 3
x=17
<u>30:</u> 43+87+m+20=180
add 43 and 87 and 20
m+150=180
subtract 150
m=30
Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8