Answer:
The dimension of the plot is 30 yd by 20 yd
Step-by-step explanation:
Given;
Area = 600 yd^2
Length = width + 10
l = w + 10 ......1
Area of a rectangular plot is;
Area A = length × width
A = l × w
Substituting equation 1;
A = (w+10) × w
A = w^2 + 10w
600 = w^2 + 10w
w^2 +10w -600 = 0
Solving the quadratic equation;
w = -30 or 20
cannot be negative
w = 20 yd
l = w+10 = 20+10 = 30yd
The dimension of the plot is 30 yd by 20 yd
B: From the origin, move 2 units back, 6 units left, and 7 units up.
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = 
B = 
C = 
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets 
.
Mrs. Baca's class gets 
.
And Mr. Canyon's class gets 
.
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
Answer:
Option A. Divide 382 by 1027.
Step-by-step explanation:
A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.
Amir is making a relative frequency table.
As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.
Now he will take the data from the given two way table.
People age 30 years and younger were 382 running outdoors and 105 running indoor.
So people having age 30 and below are 382 + 105 = 487
Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541
Now Total number of people taken in the sample = 487 + 541 = 1027
So relative frequency for the people of age 30 and younger will be
382/1027 for outdoor and 105/1027 for indoor.
Therefore answer will be Option A. Divide by 382/1027.
