Answer:
x=2
Step by step:
f(x)=g(x)
3x+12= -9.5x-13 simplifies to the equation below
3x+9.5x= -13-12
12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.
12.5x/12 = -25/12
x=-2
to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
Answer:
- 33 1/3 liters of 30%
- 16 2/3 liters of 45%
Step-by-step explanation:
Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...
0.45x +0.30(50 -x) = 0.35(50)
0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)
x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl
33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.
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<em>Comment on the solution</em>
You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...
(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3
Answer:
$235.2
Step-by-step explanation:
Given data
Principal= $5,600
Rate= 4.2%
Time= 1 year
The expression for the simple interest is given as
SI= PRT/100
substitute
SI= 5600*4.2*1/100
SI= 23520/100
SI=$235.2
Hence after 1 year he will pay $235.2
Answer:
1st option
Step-by-step explanation:
To find this answer you will use the formula for finding the area of the triangle because that shape is a triangle.
A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm
We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.
The length of the base edge is 33 cm. You should substitute this back in to check.
1/2 x 33 x 12 = 198 square cm.
