To answer this question, we need to pose the problem algebraically as follows:
1. The sum of two numbers is -29:
2. The difference of the two numbers is -13:
Then, we have a linear system of equations, and we can solve it by elimination, substitution, as the most suitable for this case. Then, we have that we can sum both equations and we get:
Thus, we have that the value for x = -21. We can use the first equation to substitute this value of x to find the value for y. Then, we have:
Therefore, the two numbers are -21 and -8.
We can check this as follows:
1. -21 + (-8)= -21 -8 = -29
2.-21 -(-8) = -21 + 8 = -13
Answer:
20
Step-by-step explanation:
0.4x = 8
0.4x/0.4 = 8/0.4
x = 20
Just multiply the given lengths by 3.
4*3 = 12
5*3 = 15
6*3 = 18
<span>If we are to express both ratios in their simplest form,
we will have the ratio of Michael’s lemonade is 1:4 and that of Sondra is 1:3.
The denominator that can be used in order to compare the ratios is that which
can be divided by both ratios. For example, we have 12 as a denominator. The
ratios can be expressed as 3/12 and 4/12. Also, the denominator can be 24 such
that the ratios can be expressed as 6/24 and 8/24. </span>
Answer:
33 and 34
Step-by-step explanation:
Let the integers be x and x+1 respectively.
4x = 3(x+1) + 30
x = 33
therefore, the integers are 33 and 34
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)