The value of the variable x is 3/4
<h3>What are congruent segments</h3>
Congruent segment are segments with equal or congruent lengths.
From the information given, we have that line AB is approximately equal to line BC. This is represented as;
AB = BC
Where;
Now, let's equate the expressions
4x + 7 = 20x - 5
collect like terms
4x - 20x = - 5 - 7
- 16x = - 12
Make 'x' the subject of formula
x = -12/-16
x = 3/4
Thus, the value of the variable x is 3/4
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Answer:
$10 coins: 21
$20 coins: 24
Step-by-step explanation:
heyy me again
So we can create 2 equations where
x = number of $10 coins
y = number of $20 coins:
x + y = 45
10x + 20y = 690
we can move equation 1 around so that we can get a value of x
x = 45 - y
now we can substitute x into the second equation
10(45 - y) + 20y = 690
450 - 10y + 20y = 690
10y = 240
y = 24
Now plug in y back into the first equation
x = 45 - y
x = 45 - 24
x = 21
"Quantitative" information is information that consists of numbers
and tells you the measure (quantity) of something.
The cost, mileage, and weight of the car are all quantitative items.
The model of the car may have numbers in it, but it doesn't tell
the measure of anything. It isn't quantitative data.
The Simple interest after three month $423.70
What is Simple Interest ?
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
If she deposits $366 in the account and you receive interest, you must first calculate the interest for the current year before adding the sum to calculate the interest for the following month.
for instance, deposit plus interest equals the new amount for month one, month one amount plus interest equals amount for month two, and month two amount plus interest equals amount for month three.
The total would thus be $423.70 for the following month:
month 1
366+ (366*.05)=x
366+18.3=x
month 2
384.30+(384.30*.05)=x
384.30+19.22=x
month 3
403.52+(403.52*.05)=x
403.52+20.18=x
423.7 = x
Thus, total amount then would be $423.70
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It can help to write each number in expanded form, where the digit is multiplied by a power of the base.
332 base 5 = 3*5^2 + 3*5^1 +2*5^0 = 75 +15 +2 = 92
In base 8, this is
92 = 64 + 24 + 4 = 1*8^2 + 3*8^1 + 4*8^0 = 134 base 8
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The conversion of an integer to base b is often done by finding the remainder when dividing by b.
92/8 = 11 remainder 4
11/8 = 1 remainder 3
1/8 = 0 remainder 1
The digits of the converted number (right to left) are the remainders at each step. Here: 92 = 134 (base 8).
