Let the price of the goldfish be x
Let the price of the rainbow fish be y
Anna bought 8 fish, therefore, Anna paid 8x for the gold fish
Anna bought 2 rainbow fish, therefore, Anna paid 2y for the rainbow fish
We know that the total amount that Anna paid is 37$.
Therefore:
8x + 2y = 37 ..................> equation I
Now, we know that the rainbow fish cost 6$ more than the goldfish (since the verb "cost" is plural, therefore the total payment of rainbow fish is 6$ more than the total payment of gold fish).
Based on this,
2y + 6 = 8x
2y = 8x - 6 ...................> equation II
Substitute by equation II in equation I, we can get the following equation:
8x + 8x - 6 = 37
16x = 43 ................> The desired equation (equation III)
Solving equation III, we can calculate the price of one gold fish as follows:
16x = 43
x = 2.6875$
If we substitute by the value of x in equation I, we can calculate the price of one rainbow fish as follows:
8(2.6875) + 2y = 37
y = 7.75$
Answer:
The multiplicative rate of change is 0.5.
Step-by-step explanation:
The given function is
.... (1)
It is given that the curve is passing through (0,10), (1,5) and (2,2.5).
The exponential function is defined as
.... (2)
Where, a is initial value and b is growth factor of multiplicative rate of change.
On comparing (1) and (2), we get
Therefore the multiplicative rate of change is 0.5.
B. (0.88,0.65) would be the closest approximation for this system of these choices.
(6k+2)-(3k-2)
expand brackets 18k²-12k+6k-4
simplify 18k²-6k-4
Answer:
ABC - AAS
DEF - not enough information
GHI - not enough information
JKL - SAS
Step-by-step explanation:
SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS
2. In triangles MNO and DEF, there are two congruent sides - there is not enough information
3. In triangles MNO and GHI, there are three congruent angles - there is not enough information
4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS
