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aleksandr82 [10.1K]
3 years ago
12

Which statement is correct?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

We can conclude that only option B is correct.

Step-by-step explanation:

A. The equation 3(3x - 2) - 4 = 5x has a solution.

Solving it we get,

3(3x - 2) - 4 = 5x

⇒ 9x - 6 - 4 = 5x

⇒ 4x = 10

⇒ x = 2.5

B. The equation 4(2x - 3) - 5 = 4x has exactly one solution.

Solving it we get,

4(2x - 3) - 5 = 4x

⇒ 8x - 12 - 5 = 4x

⇒ 4x = 17

⇒ x = 4.25

C. The equation 5(3x - 2) - 2 = 3x also has exactly one solution.

Solving it we get,

5(3x - 2) - 2 = 3x

⇒ 15x - 10 - 2 = 3x

⇒ 12x = 12

⇒ x = 1

D. The equation 6(2x - 3) - 3 = 2x also has exactly one solution.

Solving it we get,

6(2x - 3) - 3 = 2x

⇒ 12x - 18 - 3 = 2x

⇒ 10x = 21

⇒ x = 2.1

Therefore, we can conclude that only option B is correct. (Answer)

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slamgirl [31]

The total amount of his  commission for these vehicles is $ 1686

<em><u>Solution:</u></em>

Given that,

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Therefore,

Commission rate = 6 %

Today he sold a truck for $18,500 and a  car for $9,600

Therefore,

Commission amount = 6 % of (18500 + 9600)

Commission amount = 6 % of 28100

Calculate the above equation

Commission\ amount = 6 \% \times 28100\\\\Commission\ amount = \frac{6}{100} \times 28100\\\\Commission\ amount = 6 \times 281 = 1686

Thus the total amount of his  commission for these vehicles is $ 1686

3 0
3 years ago
What is the square root of -6.76
mojhsa [17]

Answer:

2.6i

Step-by-step explanation:

undo the - by making it:  √-6.76= √6.76 x  √-1

then,  √-1 would be converted to imaginary number -> i

now rewrite it as  √6.76 x i or i√6.76 which is the same as the squareroot of 6.76 which is 2.6 times i.

Then just write your final answer as 2.6i

5 0
3 years ago
Read 2 more answers
What math problem can be made that equals 13 using all order of operations? (Parentheses exponents division addition subtraction
Anni [7]
(6+6)+(2 with a exponent of one) -1
5 0
3 years ago
Rico thinks of a number between 30 and 40 that is represented by
Anna007 [38]
Hello,

x,y,z∈ IN

x=\frac{3}{4}*y
y=\frac{1}{3}*z

140
46\leq\ y\ \leq\ 50 ==>\ \frac{46*3}{4}\leq\frac{3y}{4}\leq\frac{50*3}{4}
35\ \leq\ z\ \leq\ 37==>
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We must go futher:

if x=35 then y=4*35/3=46.666 not good , not whole
if x=36 then y=4*36/3=48 ok
if x=37 then y=37*4/3=49.333.. not good

So there is only one solution (36,48,144) for (x,y,z)

No problem with z for z=3/1*4/3*x=4x ==>whole.









7 0
3 years ago
A box is contructed out of two different types of metal. the metal for the top and bottom, which are both square, costs $5 per s
patriot [66]
Total cost, C = 8x^2 + 12xz 
volume, V = (x^2)*z = 10 
C = 8x^2 + 12x*10/x^2 
= 8x^2 + 120/x 
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d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957 
so, C is minimum when
x = 1.957 ft z = 2.61 ft

Length of the base x is 1.957 ft and height of side z is 2.61 ft
3 0
3 years ago
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