Answer:
22cm by 6cm
Step-by-step explanation:
Width = x
Length = 3x + 4
x + x + 3x + 3x + 4 + 4 = 8x + 8
Perimeter = (8x + 8) cm
56 - 8 = 48cm
48/8 = 6
6 = x
Width = 6cm
Length = 22cm
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Answer:
x = 10 m∠3 = 74
Step-by-step explanation:
(10x + 6) + (7x + 4) = 180 degrees
17x + 10 = 180
17x = 170
x = 10
check answer
(10(10) + 6) + (7(10) + 4) = 180
106 + 74 = 180
180 = 180
true!
angle 5 is vertical angles with 3, so they are congruent
use same equation as 5
7(10) + 4
70 + 4
74 :)
The main idea here is to "translate" the words into maths.
First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters
Now lets write equations from the written problem.
We know that there are 36 coind total, thus:
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents.
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus:
10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.
x + y = 36
10x+25y=585
Answer:
1285.37
Step-by-step explanation: You can use the formula for compound interest:
P(1+R)^t
P = the principle, the amount of money
(1+R) = the rate, (%) as a decimal plus 1
^t = to the power of the number of years
Substitute the values:
750(1+0.08)^7
750(1.08)^7
1285.37
