60,120,180,240,300,360,420,480,540,600,660,720,780,840,900,960,1020,1080,1140,1200,1260,1320,1380,1440,1500,1560,1620,1680,1740,1800,1860,1920,1980,2040,2100,2160,2220,2280,2340,2400,2460,2520,2580,2640,2700,2760,2820,2880,2940
Answer:
small: 6.25
large: 18.25
Step-by-step explanation:
Set the large boxes as x and the small boxes as y (The weight is the constant).
3x+5y=86
6x+2y=122
Now just solve the systems of equations using either substitution or elimination.
-6x-10y=-172 multiply the whole equation by -2 to eliminate
6x+2y=122, add the equations
-8y=-50
y= 6.25
Plug in y either equation:
3x+5(6.25)=86
3x=86-31.25
3x=54.75
x=18.25
Each small box weighs 6.25 kilograms, each large box weighs 18.25 kilograms, to check plug in the values to the other equation to see if they add up correctly.
You well have to subtract both of them and add by the total
Complete question is;
Building an A - frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house a set of plans by searching the net.
side 1 = 45¼ in
side 2 = (Gusset plate)
5¾ in high
3⅓ in base
corner of side 2 = 2 inches thick
side 3 (floor plate)= 37¼ in
A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measures shown in the drawing and find half of the measure. Show your work to get full credit!
Answer:
new side 1 = 22⅝ in
For side 2:
New height = 2⅞
New base = 1⅔ in
New corner = 1 in
New side 3 = 18⅝ in
Step-by-step explanation:
We are told that a customer has offered to pay extra if you will make one half the size called for in the plans.
Thus, we will divide each number by 2
We are given side 1 = 45 1/4 in = 45.25 in
New side 1 = 45.25/2 = 22.625
Converting to fraction form: new side 1 = 22⅝ in
We are given side 2 = (Gusset plate)
Height = 5¾ in = 5.75 in
New height = 5.75/2 = =2.875
Converting to fraction:
New height = 2⅞
Base = 3⅓ in = 3.33 in
New base = 3.33/2 = 1.66
Converting to fraction:
New base = 1⅔ in
Corner of side 2 is 2 inches thick
New corner = 2/2 = 1 in
side 3 (floor plate) = 37¼ in = 37.25 in
New side 3 = 37.25/2 = 18.625
Converting to fraction:
New side 3 = 18⅝ in
