Answer:
Step-by-step explanation:
Let
x= Quantity of donuts
y= Quantity of cupcakes
He bought 3 times as many donuts as cupcakes
Donuts=y= 3x
Donuts=0.50 each
Cupcakes=1.00 each
PxQx + PyQy = 10.00
0.50(x) + 1.00(y) = 10.00
0.50x + 1.00(3x)=10.00
0.50x+3.00x=10.00
3.50x=10.00
Divide both sides by 3.50
x=10.00/3.50
=2.86
y=3x
y=3(2.86)
=8.58
Jamal bought 2.86 donuts and 8.58 cupcakes
Check:
PxQx + PyQy = 10.00
0.50(2.86) + 1.00(8.58) = 10.00
1.43 + 8.58=10.00
10.01=10.00
10.01 approximately 10.00
Answer:
a + b = 1 or 4
Step-by-step explanation:
The integer = 3a5b
The factors of the integer includes 5 and 6
∴ 5 × 6 = 30 is a factor of the integer hence 10 is also a factor which gives b = 0
We check for factors of four digit numbers with the first digit = 3, last digit = 0, penultimate to the last digit = 5 and divisible by 30
We have a50 divisible by 30, which gives, a5 divisible by 3 which includes
15 and 45 hence a can be 1 or 4 and a + b = 1 + 0 = 1 or 4 + 0 = 4.
Answer:
Step-by-step explanation:
Whenever a magnetic field linked to loop changes, the current is induced in the loop which sequentially opposes the cause of change in magnetic flux. So whenever the magnet moves towards and away from the loop then it causes the current to induce in the loop to oppose the change in magnetic flux by effectively creating a similar pole that is coming towards the loop.
For example, if the magnet north pole is coming towards loops then it effectively creates a north pole in front of the magnet.
So flow of current will glow the light bulb.
Answer:
By a theorem we learned, i. and ii. are valid under the assump- tion that the sequences (a n)1 n=1and (b n) 1 n=1are convergent. For iii.]
Step-by-step explanation:
