Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 and that the combined area of these three rooms is 189 square feet.
Therefore, Kitchen area = 4/(4+3+2) × 189 = 4/9 × 189 = 84 square feet
Playroom area = 3/(4+3+2) × 189 = 3/9 × 189 = 63 square feet
Dining room area = 2/(4+3+2) × 189 = 2/9 × 189 = 42 square feet
Answer:
Area of the rhombus ABCD = 16 square units
Step-by-step explanation:
Area of a rhombus = 
From the graph attached,
Diagonal 1 = Distance between the points A and C
Diagonal 2 = Distance between the points B and D
Length of a segment between (x₁, y₁) and (x₂, y₂) = 
Diagonal 1 (AC) =
= 4 units
Diagonal 2(BD) =
= 8 units
Now area of the rhombus ABCD = 
= 
= 16 units²
Therefore, area of the given rhombus is 16 units².
Answer:
The area of triangle K is 16 times greater than the area of triangle J
Step-by-step explanation:
we know that
If Triangle K is a scaled version of Triangle J
then
Triangle K and Triangle J are similar
If two triangles are similar, then the ratio of its areas is equal to the scale factor squared
Let
z -----> the scale factor
Ak ------> the area of triangle K
Aj -----> the area of triangle J
so

we have

substitute



therefore
The area of triangle K is 16 times greater than the area of triangle J
Adult ticket (a) = $5
Child ticket (c) = $2
785 tickets = $3280
a + c = 785 tickets
5a + 2c = $3280
c = 215 child tickets
a = 570 adult tickets
570 + 215 = 785 tickets
5(570) + 2(215) = $3280
There were 215 child tickets sold on Saturday
Answer:
Omas can buy 1 pound of walnuts.
Step-by-step explanation:
From the information given, you can say that the total cost would be equal to the result of multiplying the price per pound of granola for the number of pounds of granola plus the result of multiplying the price per pound of walnuts for the number of pounds of walnuts, which would be:
Total cost=2x+6y, where
x is the number of pounds of granola
y is the number of pounds of walnuts
Now, you can replace the values on the formula and solve for y:
12=(2*3)+6y
12=6+6y
6=6y
y=1
According to this, the answer is that Omas can buy 1 pound of walnuts.