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amm1812
3 years ago
6

6(x-3)+10=2(4x-5) pls help

Mathematics
2 answers:
Vlada [557]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

6\left(x-3\right)+10=2\left(4x-5\right)

<u>We'll use the distributive property to multiply 6 by (x-3):</u>

<u />6x-8 +10=2(4x-5)

<u>*Distributive property*, multiply 2 by (4x-4)</u>

<u />6x-8=8x-10

<u>Add 8 from both sides:</u>

<u />6x-8+8=8x-10+8

6x=8x-2

<u>Subtract 8x from both sides:</u>

<u />6x-8x=8x-2-8x

-2x=-2

<u>Divide both sides by -2:</u>

<u />\cfrac{-2x}{-2}=\cfrac{-2}{-2}

x=1

_____________________________

r-ruslan [8.4K]3 years ago
4 0
X=1
6x-18+10=8x-10
6x-8x=-10-10+18
-2x=-2
x=-2/-2=1



Mark brainliest please
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oksian1 [2.3K]

Answer:

Coordinates of point P is (-14,3).

Step-by-step explanation:

Given that mid point of line segment \overline {PQ} is at <em>M(-9, 8.5).</em>

Q is at <em>(-4, 14)</em>.

Let coordinate of P be (x,y).

Using the ratio, we can say the following:

<em>The coordinates of mid point</em> (X,Y) of a line with endpoints (x_1, y_1) and (x_2, y_2) is given as:

X=\dfrac{(x_1+ x_2)}{2}

Y=\dfrac{(y_1+ y_2)}{2}

Using the formula for above given dimensions:

-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14

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6 0
4 years ago
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm
Juliette [100K]
<span>A midpoint divides a line or a segment into two equal parts. If D is the midpoint of the segment AC and C is the midpoint of segment DB, what is the length of the segment AB, if AC = 3 cm.</span>

 

If D is the midpoint of AC, then AD=DC

If C is the midpoint of DB, then DC=CB

If AC=3cm. then then DC-3/2=1.5

If DC=1.5 then CB is 1.5 also

AB=AC+CB

AB=3+1.5

AB=4.5

5 0
3 years ago
Davis is buying a new car for $21,349.00.He plans to make a down payment of $3,000.00.If he's to make monthly payments of $352 f
nekit [7.7K]
He actually borrowed P=21349-3000=18349 (present value)
Assume the monthly interest is i.
then future value due to loan:
F1=P(1+i)^n=18349(1+i)^(5*12)=18349(1+i)^60
future value from monthly payment of A=352
F2=A((1+i)^n-1)/i=352((1+i)^60-1)/i
Since F1=F2 for the same loan, we have
18349(1+i)^60=352((1+i)^60-1)/i
Simplify notation by defining R=1+i, then
18349(R^60)-352(R^60-1)/(R-1)=0
Simplify further by multiplication by (R-1)
f(R)=18349*R^60*(R-1)-352(R^60-1)=0
Solve for R by trial and error, or by iteration to get R=1.004732
The APR is therefore
12*(1.004732-1)=0.056784, or 5.678% approx.




8 0
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