If #peaches = x and #plums = y we can write the following equations:
x+y=15
0.89x + 0.39y = 8.85
and x and y are whole numbers.
converting the first to x=15-y and plugging it into the second, you get
0.89(15-y) + 0.39y = 8.85 =>
13.35 - 0.89y + 0.39y = 8.85 =>
4.5 = 0.5y =>
y = 9
so x = 15-9 = 6
She bought 9 plums and 6 peaches.
Step-by-step explanation:
answer is in photo above
Answer:
a) X = 65°
b) Y = 71°
c) Z = 44°
Step-by-step explanation:
a) X is a vertical angle with the one marked 65°, so has that same measure.
b) Y is an opposite interior angle with the one marked 71° where the transversal between angles Y and Z crosses the parallel lines. That makes it have the measure 71°.
c) Z is the third angle of a triangle with the other two angles being 65° and 71°, so it is 180° -65° -71° = 44°. (The sum of angles of a triangle is 180°.)
Let x represent invested money at 9% and y at 7%
Now we write system:
x+y = 6300
1.09*x + 1.07* y = 6300 + 493 = 6793
1.09x + 1.09y = 6867
Here we multiplied first equation with 1.09 and now we will subtract second from first:
0.02y = 74
y = 3700
x = 6300-3700 = 2600
Michael invested 2600 at 9% and 3700 at 7%
A+b+c because they’re u like terms