Answer:
Step-by-step explanation:
3x+4y=29 .......(1)
6x+5y=43 .......(2)
Multiply equation (1) by 2
6x + 8y = 58......(3)
Substracting (2) from (3)
8y - 5y = 58 - 43
3y = 15
Dividing by 3
3y/3 = 15/3
y = 5
Substituting y = 5 into (2)
6x+5y=43
6x + 5(5) = 43
6x + 25 = 43
6x = 43 - 25
6x = 18
Dividing by 6
6x/6 = 18/6
x = 3
The beginning steps to solve the equation 6(3x - 7) = 2 is
Step 1: 18x - 42 = 2
Step 2: 18x = 44
Answer:
0.18% probability that they are all women
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the senators are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
3 women, from a set of 13. So
Total outcomes:
3 senators, from a set of 100. So
Probability;
0.18% probability that they are all women
The model shows that we are to arrange the factors based on the terms in the square box. The factored form is (5x+2)(2x-1)
<h3>Factorizing quadratic equations</h3>
Factorization is a way of simplify. Given the equation 10x² -x - 2
Factorize
10x² -x - 2
10x² - 5x + 4x - 2
5x(2x-1)+2(2x-1)
(5x+2)(2x-1)
We are to arrange each term of the factors in the square box
Learn more on factoring here: brainly.com/question/24734894
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