Answer:
Step-by-step explanation:
there is a linear relationship
from the table, x changes by +6, y changes by -3 every time
so that means the slope is constant i.e. its a straight line
slope=(y2-y1)/(x2-x1)=-3/6
= -1/2
take the 1st pt, ( 1, -4 )
(y-(-4)) = slop * (x-1)
y+4 = -1/2*(x-1)
ans is A
A deposit (in this case) is a portion of the TV paid in advance - 20% of the total cost. That means that the 96$ makes up the remaining 80% of the total cost, which I'll represent as <em>x</em>. From here, we can set up an equation to find the total cost x, since we have a relation to form it on - <em>the fact that 80% of x is equal to 96$.</em>
The total cost of the TV is 120 dollars.
The answer to number 1 is $7.78. all ya got to do is divide 140 by 18 to find out how much is just one foot squared.
The answer to number 2 is $0.21. same as number one just divide $2.99 by 14lbs, to find out how much money is needed to pay for one pound.
numbers 3 and 4 are a bit more tricky, i suggest getting those denominators to 100 first to be able to find the percentage value of everything, number 3 seems pretty easy when using this strategy, the denominator is 25 so just multiply both the top and bottom numbers by 4 so that the 25 equals out to 100 and 56X4=224. now the second one the denominator is 15 so i would first divide both numbers by 3 to get that 15 into an easier number like 5. so divide $32.05 by 5 to equal $6.41. now its $6.41 over 5. so multiply the top and bottom numbers by 20 to make the denominator into 100. so $6.41X100=$641.00. so essentially what we've done is make the denominators into (like) denominators. Now treat the numbers as a fraction, so the one that has a smaller number is the better deal. so $56/ 25 gal is the better deal.
for number 4, you're basically doing the same thing but they've made it pretty easy for us, all you got to do on this one is make that denominator on the second proportion a 5. so divide the second proportion by nine to make the denominator into a 1. so dividing $315 by 9 will equal 35. so now multiply the (35/1) by 5 to equal ($175/5) now just pick the answer choice that has the bigger numerator and that'll be the best deal. so number 4 is ($160/5 g).
Making the denominators into like terms makes the units the same, so getting the numerators to the prices for however many units will show you the pricings for that many units. so if your wanting to pick the best deal, then at that point u would pick the proportion that cost less for that many units.
Answer:
0.92
Step-by-step explanation:
Each year, the value declines. This eliminates choices A and D.
The decline from 33000 to 30360 is slightly less than 10%, so the multiplier from one year to the next is slightly more than 1 -10% = 90%. The only choice in range is ...
0.92 . . . . the third listed choice
Given:
P = Set of all triangles,
Q = Set of scalene triangles,
R = Set of isosceles triangles and
S = Set of equilateral triangles.
To find:
Which of the following statements are true or false?
Solution:
We know that,
Scalene triangles : All sides are different.
Isosceles triangles : Two sides are equal.
equilateral triangles : All sides are equal.
Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.
So, (a) is true.
All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.
So, (b) is false.
Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .
So, (c) is true.
