The solution is (3 , 4) ⇒ 2nd answer
Step-by-step explanation:
The system of equations can be solved by:
- Elimination method
- Substitution method
The system of equations is:
y = 3 x - 5 ⇒ (1)
y = 
x + 3 ⇒ (2)
By using the substitution method substitute y in equation (2) by equation (1)
3 x - 5 = x + 3
Subtract x from both sides
x = 8
Divide both sides by
x = 3
substitute x by 3 in equation (1)
y = 3(3) - 5
y = 9 - 5
y = 4
The solution is (3 , 4)
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Answer:
a. 2^3
b. 3^4
c. 4^3 × 5^2
d. 9^4 × 7^2
Step-by-step explanation:
The following equations are given
a. 2 × 2× 2
b. 3 × 3 × 3 × 3
c. 4 × 4 × 4 × 5 × 5
d. 9 × 7 × 9 × 9 × 7 × 9
We need to find the index notation for the above equations
a. 2^3
b. 3^4
c. 4^3 × 5^2
d. 9^4 × 7^2
In this way it should be done
The same would be relevant
Answer:
- 819
Step-by-step explanation:
The sum to n terms of a geometric series is
= 
where a is the first term and r the common ratio
Here a = 1 and r = - 4 ÷ 1 = - 4, thus
= 
= 
= 
= - 819
Answer:
10.29
Step-by-step explanation:
5 √6 ( 4 - √10 )
√6= 2.45
5x2.45=12.25
√10=3.16
4-3.16=0.84
12.25(0.84)=10.29
First brand = A, second brand = B.
A + B = 249ml
9% A + 14% B = 13% 249ml
B = 249ml - A
9% A + 14% (249ml - A) = 13% 249ml
9A + 14 (249ml - A) = 13 * 249ml
9A + 3486ml - 14A = 3237ml
5A = 249ml
A = 49,8ml
<span>B = 249ml - A = 199,2ml
</span>
Answer: He should use 49,8ml of first brand and 199,2ml of second brand.
Also note: <span>That's an </span>approximation,<span> because </span>the volumes are not strictly additive<span>. For example: mixing 50ml pure ethanol with 50ml water will give you about 95ml of mixture. To get an accurate answer, you'd have to </span>measure<span> the volume of the final mixture and then divide your total alcohol content by </span>that<span>.</span>
