Answer:
1 pear = $0.45
1 mango = 1.5
Step-by-step explanation:
8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10
5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25
multiply first equation by -4 and second one by 5
-4 ×(8p+5m) = 11.10 ➡ -32p - 20m = 44.4
5 ×(5p+4m) = 8.25 ➡ 25p + 20m = 41.25
add both equations up
-32p - 20m + 25p + 20m = 44.4 + 41.25
-7p = 3.15 ➡ p = $0.45
use this value to find the price of mango
5×0.45 + 4×m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5
Answer:
56
Step-by-step explanation:
At a competition, there are 8 runners
2 medals are awared for first and second place
Therefore the eat to award the medal van be calculated as follows
8×7
= 56
Answer:
49 and 118
Step-by-step explanation:
Let the two numbers be x and y
x+y = 167
y = 3x-29
Substitute into the first equation
x+ 3x-29 = 167
Combine like terms
4x - 29 = 167
add 29 to each side
4x = 167+29
4x = 196
Divide by 4
4x/4 = 196/4
x = 49
x+y = 167
49+y = 167
y = 167-49
y =118
Answer:
AB=AC, BD is shared side, angle 1 and angle 2 are equal as BD bisects angle ABC
So we have two sides and included angle equal.
- <em>If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.</em>
According to the rule above we can say triangles ΔABD ≅ ΔCBD
Answer:
No.
Step-by-step explanation:
Because the line doesn't pass through the origin (0,0).
