The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
Solving the quadratic equation by factorization, we have:
y = -23 or 31.
For the value of x, when y = 31:
x = 39
Now, we can calculate the sum of the two numbers:
Read more on word problems here: brainly.com/question/13170908
The percentage of people with $300,000 or more increases so substantially across the age groups because older individuals have an edge when it comes to accumulating wealth.
<h3>What are the age groups?</h3>
Simply put, older folks have more money because:
1. They have worked for longer periods of time and are thus anticipated to earn higher incomes and hold higher positions.
2. They have had more time to save and invest their money.
Every age group has a greater ability to save money during their working years. Young individuals just starting out in their jobs are less likely to amass enough money to be worth that much.
More about the age group link is given below.
brainly.com/question/3369826
#SPJ1
The correct answer to this open question is the following.
Although the question is incomplete because it does not include excerpts, paragraphs, or statements, we can say the following.
The renewed interest in Wole Soyinka's works could be because he used irony and some humor to criticize social problems in Nigeria, as well as a serious criticism of Nigerian government officials, putting emphasis on military dictators.
Soyinka is a Nigerian writer that has always been interested in the social condition of the people of Nigeria under tough political and economic times. He has written many essays, poems, even plays that have exhibited in his country. That is why so many people in Africa want an anthology that includes all the works of Wole Soyinka.
Answer:
a.) 4 : 9
b.) 16 : 81
Explanation:
a.) Ratio of perimeter will still be
4 : 9
b.) The two similar triangles ΔABC and ΔDEF as shown from the attached figures. That is
AB/DE = AC/DF = BC/EF
It is apparent that ΔAPB and ΔDEQ are also similar as all respective angles are equal. Hence,
AB/DE = AP/DQ = BP/EQ
Moreso ΔABC = 1/2 × BC × AP and ΔDEF = 1/2 × EF × DQ and
ΔAPB/ΔDEQ = BC/EF × AP/DQ
But
AP/DQ = AB/DE = BC/EF
and hence
ΔAPB/ΔDEQ = BC/EF × BC/EF
= BC^2/EF^2 and as
BC/EF = AC/DF = AB/DE
ΔAPB/ΔDEQ = AC^2/DF^2 = BC^2/EF^2
= AB^2/DE^2
Hence if sides of two similar triangles are in the ratio a:b, their areas are in the proportion a^2:b^2
As in given case sides are in the ratio of 4:9.
ratio of their areas is 4^2:9^2 or 16:81.
