Answers : A and D
Step - by - step explanation :
tip : when finding constant of proportionality it's always Y divided by X
A = what is 22.5 divided by 3 ? 7.5 ( now multiply 7.5 by the next X [ 4 ] )
what is 7.5 x 4 ? 30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )
B = what is 12 divided by 3 ? 4 ( now multiply 4 by the next X [ 5 ] )
what is 4 x 5 ? 20 ( and because the graph says 25 then you know it's NOT a proportional relationship )
C = what is 8.5 divided by 2 ? 4.25 ( now multiply 4.25 by the next X [ 5 ] )
what is 4.25 x 5 ? 21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )
D = what is 10 divided by 2 ? 5 ( now multiply 5 by the next X [ 3 ] )
what is 5 x 3 ? 15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )
( sorry it took me so long to write this )
Answer:
2/10 or in its simplest form 1/5
Step-by-step explanation:
there is 2 grey marbles so 2/10 (there is 10 marbles altogether)
so half of 2 is 1 and half of 10 is 5
so the answer is 1/5
Answer:
The first incorrect justification is in step 2.
Step-by-step explanation:
<u>Step 2</u>. BC2 = AC • DC
2. BC ÷ DC = BC ÷ AC because triangle ABC is similar to triangle BDC
It's supposed to be AC ÷ BC not BC ÷ AC.
Answer:
Bag 2
Step-by-step explanation:
Given
Bag 1:
![14\ ounce = 3.50](https://tex.z-dn.net/?f=14%5C%20ounce%20%3D%203.50)
Bag 2:
![24\ ounce = 5.28](https://tex.z-dn.net/?f=24%5C%20ounce%20%3D%205.28)
Required
Which is a better buy
To get which buy is better, we first get the unit price of each bag.
![Unit\ Price = Amount/Size](https://tex.z-dn.net/?f=Unit%5C%20Price%20%3D%20Amount%2FSize)
For bag 1:
![Unit\ Price = 3.50/14](https://tex.z-dn.net/?f=Unit%5C%20Price%20%3D%203.50%2F14)
![Unit\ Price = 0.25](https://tex.z-dn.net/?f=Unit%5C%20Price%20%3D%200.25)
For bag 2:
![Unit\ Price = 5.28/24](https://tex.z-dn.net/?f=Unit%5C%20Price%20%3D%205.28%2F24)
![Unit\ Price = 0.22](https://tex.z-dn.net/?f=Unit%5C%20Price%20%3D%200.22)
The best buy is the one with smaller unit price
Hence, bag 2 is better to buy
Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).