Answer:
2 marbles
Step-by-step explanation:
Lana has 3 bags with x marbles in each bag totaling 12 marbles
3x=12
Divide by 3
3x/3 =12/3
x =4
Each bag has 4 marbles
Markus has 3 bags with y marbles totaling 18 marbles
3y =18
Divide each side by 3
3y/3 =18/3
y =6
Each bag has 6 marbles
6-4 =2
There are 2 more marbles in Markus' bags than in Lara's
The talent show consists of introduction and talent performance. It could be written into this equation
Talent show duration= introduction + talent performance
Each performer for the talent show has 6 minutes for their show, the <span>introduction of the talent show is 24 minutes, and the total duration should be 150 minutes. Then, maximum performance count of the show would be:
</span>
Talent show duration= introduction + talent performance
<span>150 min = 24 min + (performance count * 6min)
</span>performance count = (150min - 24min) / 6 min
performance count=21
Answer:
Sides other than hypotenuse of an isosceles triangle are equal.
Let the other two sides be x each.
Using pythagoras theorem
x
2
+x
2
=(5
2
)
2
2x
2
=50
⇒x
2
=25
⇒x=5cm
So the other two sides are 5cm each.
Answer:
k = - 89
Step-by-step explanation:
To calculate the output, substitute t = - 7 into the equation for output, that is
k = 10(- 7) - 19 = - 70 - 19 = - 89
Answer:
the number of miles is 160
Step-by-step explanation:
The computation is given below:
Let us assume the miles be x
For company A
y = $100 + $0.40x
And, for company B
y = $20 + $0.90x
In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost
SO,
$20 + $0.90x > $100 + $0.40x
Subtract $20 from both sides
0.90x > 80 + 0.40x
Now subtract 0.40x from both sides
0.50x >80
x>160
So the number of miles is 160
