We know that
If a system has at least one solution, it is said to be consistent.
When you graph the equations, both equations represent the same line
so
the system has an infinite number of solutions
If a consistent system has an infinite number of solutions, it is dependent.
<span>
therefore
the system is </span>consistent, dependent and <span>equivalent
</span><span>
the answer is
</span>equivalent
Answer: 2/3
Explanation: Assume that the number of smarties he picked is c.
Now, we are given that:
1- He picked 3 times as many cola bottles as smarties. This means that:
Number of cola bottles he picked = 3s
2- He picked twice as many smarties as marshmallows. This means that:
number of marshmallows he picked = 0.5s
Now to get the proportion o f cola bottles, we will divide the number of cola bottles by the total number of sweets as follows:
proportion of cola bottles =
Hope this helps :)
Answer:
23.6 (approximate value)
Step-by-step explanation:
- a*a+b*b=c*c Pythagorean thereom
- (21.5)^2 + b*b = (31.9)^2
- b*b= 1017.61 - 462.25
- √b*b= √555.36
- b=23.6(approximate value)
We would have two circles of 5cm diameter each, and a rectangle of the length pi*diameter and 2cm, so lets add them:
total = 2circles + rectangle
total = 2(2*pi*(5/2)^2) + pi*diameter*heigth
= 4*pi*(2.5)^2 + pi*5*2
= 109.9
that is the surface area of a bar soap 109.9 cm^2
Answer:
492 0/10
Step-by-step explanation:
We have that the perimeter is 4 times the length of the side, now we know that this side "l" is given by:
l = 4 in * 24 + 23 * 5 ft
l = 96 in + 115 ft
Now, we pass the inches to pes, knowing that 1 foot equals 12 inches, so
96 in * 1 ft / 12 in = 8 ft
therefore replacing it remains:
l = 8 ft + 115 ft
l = 123 ft
now the perimeter:
p = 123 * 4
p = 492
to change to a mixed number:
4920/10 = 492 0/10
