All categories

4 years ago

Solve for x. 13x - 7 = 136

1 answer:

3 0

Add 7 on both sides to then left side cancels out and you end up with 13x=143 then you divide 13 on both sides and get x=11

You might be interested in

A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

fomenos

Answer:

Wire used for square is 7.55 m.

Step-by-step explanation:

Let the length of wire cut for square be 'x'.

Given:

Total length of the wire = 25 m

Length of wire for square = 'x'

Length of wire for equilateral triangle = $25-x$

Now, area of square (a) = $x^2$

Area of equilateral triangle (e) is given as:

$e=\frac{\sqrt3}{4}(25-x)^2$

Now, total area (A) is given as:

$A=a+e\\\\A=x^2+\frac{\sqrt3}{4}(25-x)^2$

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.

∴ $\frac{dA}{dx}=0$

$\frac{d}{dx}(x^2+\frac{\sqrt3}{4}(25-x)^2)=0\\\\2x-\frac{\sqrt3}{2}(25-x)=0\\\\2x+\frac{x\sqrt3}{2}=\frac{25\sqrt3}{2}\\\\x(2+\frac{\sqrt3}{2})=\frac{25\sqrt3}{2}\\\\x(4+\sqrt3)=25\sqrt3\\\\x=\frac{25\sqrt3}{4+\sqrt3}=7.55\ m$

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.

3 0

3 years ago

-4(11x+2)=80<br> Solve for x

jek_recluse [69]

Answer: x=-2

Step-by-step explanation:

To solve for x, we want to isolate x.

-4(11x+2)=80 [distribute]

-44x-8=80 [add both sides by 8]

-44x=88 [divide both sides by -44]

x=-2

Now, we know that x=-2.

3 0

3 years ago

Read 2 more answers

Trains headed for destination A arrive at the train station at 15-minute intervals starting at 7 A.M., whereas trains headed for

Romashka [77]

Answer:

2/3

Step-by-step explanation:

In the 5-minute interval between 7:00 and 7:05, a train to B is the first to arrive. In the 10-minute interval between 7:05 and 7:15, a train to A is the first to arrive. That is, in any 15-minute interval, the probability is 10/15 = 2/3 that a train to A is the first to arrive.

The 1-hour interval between 7 A.M. and 8 A.M. is an integer number of such intervals, so ...

2/3 of the time, he or she will go to destination A.

6 0

4 years ago

2.5 x 2.5 x 2.5 - 1.4 x 1.4 x 1.4<br>(2.5)2+ 2.5 X 1.4 + (1.4)2

melomori [17]

Answer:

a) 2.5×2.5×2.5-1.4×1.4×1.4=12.881

b) (2.5)2+2.5×1.4+(1.4)2=31.5

Step-by-step explanation:

yuh multiple 2.5 three times and subtract 1.4 multiple three times. 2.5×2.5×2.5-1.4×1.4×1.4

15.625-2.744=12.881.

b) when opening bracket Yuh multiple the number in the bracket by the number outside the bracket. when bracket is open Yuh can now add, multiple to obtain your answer please

(2.5)2+2.5×1.4+(1.4)2

5+2.5×1.4+2.8

7.5×4.2=31.5

8 0

3 years ago

Kurt’s ending balance on April 30 was $331.36. Add or subtract the items in his check register, shown below, to find his balance

sasho [114]

Answer:

$293.11

Step-by-step explanation:

3 0

4 years ago