Adam's dad paid £52.20.
This is considered three "parts" of the total cost.
Let's divide by 3 to find the size of one part.
£52.20 ÷ 3 = £17.40
Now, multiply by 5 (Adam's parts + his dad's) to get the total cost.
1.2mL will be needed to make 50 mL of a 2% solution
<h3>Ratio and proportions</h3>
Ratio are written in form of fractions.
If 50mL is required for a 2% solution, hence;
50% = 2mL
0.05 = 2mL
In order to determine the required mL for a 30% solution, we will have;
30% =x
0.03 = x
Find the ratios
0.5/0.3 = 2/x
Cross multiply
0.5x = 2(0.03)
0.5x = 0.6
x = 0.6/0.5
x = 1.2mL
Therefore 1.2mL will be needed to make 50 mL of a 2% solution
learn more on ratio and proportion here: brainly.com/question/12024093
#SPJ1
Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
The area of a triangle in terms of height and base is A = 1/2*base*height
Suppose base = 6 cm and height = 12 cm. Then, A = 1/2*6*12 = 36 cm2.
If the base and height are scales by a factor of 5, b= 30 cm and h = 60 cm. Then, A = 1/2*30*60 = 900 cm2.
Thus the area of the resulting triangle is scaled by a factor of 25, which is 900 cm2.
Answer:
a=(2/5), b = (-2,6)
Step-by-step explanation:
well slope formula is rise/run. So for the first one you start at the point rise 2 run 5 and you reach the endpoint. That is how you know you got the correct slope. (2/5)
For the second one you start at the first point and you cannot go up because it is a negative slope you run 6 till you hit the other point go down 2. Since you go down 2 that would make it -2. (-2,6)
