Given:
Consider the below figure attached with this question.
The table represents a proportional relationship.
To find:
The missing value from the table.
Solution:
If y is proportional to x, then

...(i)
Where, k is a constant of proportionality.
The relationship passes through the point (-3,-1). Substituting
in (i), we get



Putting
in (i), we get
...(ii)
We need to find the y-value for
.
Substituting
in (ii), we get


Therefore, the missing value in the table is -4. Hence, option D is correct.
On the cube, it measures in numerical order 1 to 6, so:
1,2,3,4,5,6.
We are finding how much red fabric was used for even numbered sides.
So we are looking for sides 2,4,6
Since 20 in. is measured on a side, we can determine the area: 20*2= 40 in.^2 (all sides are same and length*width)
Now we have how much fabric is used on each side, so apply the area to all the even numbers (2,4,6)
40*3= 120 inches
Answer:
14
Step-by-step explanation:
Let the smaller and larger numbers be represented by S and L, respectively.
S/L = 2/3 . . . . the original ratio of the numbers
3S = 2L . . . . . multiply by 3L
__
(S-6)/(L+7) = 2/7 . . . . the new ratio of the numbers
7(S-6) = 2(L+7) . . . . . multiply by 7(L+7)
7S -42 = 2L +14
Using the expression for 2L from the first ratio, we can substitute to get ...
7S -42 = 3S +14 . . . . substitute 3S for 2L
4S = 56 . . . . . . . . . . .add 42-3S
S = 14 . . . . . . . . . . . . . divide by 4
The original smaller number was 14.
Answer:
The answer to your question is letter A.
Step-by-step explanation:
Inequality x + 2 ≥ 5
Solve the inequality, remember that inequalities and equations are solved in similar ways.
- Subtract 2 in both sides
x +2 - 2 ≥ 5 - 2
- Simplify
x ≥ 3
- Remember that this sign "≥" means that x is greater or equal to a number, and this sign "≤" means that x is lower or equal to a number.
The option that satisfies our inequality is the first option.
Answer:
Answer: d + n = 22 and 0.1 d + 0.05n = 1.9 Step-by-step explanation: Let d be the number of dimes and n the number of nickels. Total dimes = 22 Therefore, d + n = 22 1 dime = 10 cents = 0.1 1 nickel = 5 cents = 0.05 Value of 22 dimes = $ 1.90 So , 0.1d + 0.05n = 1.9 Therefore, d + n 22 and 0.1d + 0.05n = 1.9 models the given% D% 3D situation. Leave a comment Send It might interest you