The mean temperature for the first 7 days in January was 6 °C.

Item 4

enyata [817]

Answer:

D. 4

Step-by-step explanation:

7 0

2 years ago

HELPPO ME PLEASEE!!!!!!

ElenaW [278]

Answer:

Here,

x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)

or,x+3x + 25° + 95° + 80° =360°

or,4x + 200 = 360°

or,4x = 360 - 200

or,4x = 160

or,x = 160÷4

or,x = 40

Now,

Angle K = (x + 25)° = 40 + 25° = 65°

Angle L = 3x° = 3 × 40° = 120°

4 0

2 years ago

Step 1: 12x – 15 – 12x = 7x + 20

stealth61 [152]

Step-by-step explanation:

step 1. 12x - 15 - 12x = 7x + 20

step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)

step 3. -15 = 7x + 20 (adding like terms)

step 4. -35 = 7x (subtract 20 from both sides)

step 5. this step is incorrect.

step 6. -5 = x ( divide both sides by 7)

step 7. x = -5 (put the variable first).

5 0

3 years ago

Question 8 (2 points)

SashulF [63]

Answer:

$\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if $x=\frac{1}{2}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

Solving the equation first to find value of x

$4x+12-8x=-1+2x+10$

Combining like terms:

$4x-8x+12=2x+10-1\\-4x+12=2x+9$

Subtracting 2x on both sides

$-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9$

Now, subtracting 12 on both sides

$-6x+12-12=9-12\\-6x=-3\\$

Divide both sides by -6

$\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}$

So, we get $\mathbf{x=\frac{1}{2}}$

Therefore we can say that $\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

The statement is true.

Option A is correct.

6 0

2 years ago

Read 2 more answers

A worker is to construct an open rectangular box with a square base and a volume of 196196 ft cubedft3. If material for the bott

Archy [21]

Answer:

Therefore the dimensions of the box is 7 ft by 7 ft by 4 ft.

Therefore the minimum cost to manufacture the box is $12936.

Step-by-step explanation:

Given the volume of the open box is 196 cube ft.

Let the one side of the base of the box be x.

Since the base of the box is square in shape.

The other side of the base is also x.

The area of the base of the box = x² square ft

Let the height of the box be h.

The volume of the box is = Area of the base× height

=(x²×h) cube ft.

=x²h cube ft.

According to the problem,

x²h=196

$\Rightarrow h=\frac{196}{x^2}$

The material cost for the bottom is $88 per square ft and the material cost for the sides $77 per square ft.

The material cost for the bottom of the box = $(88×x²)

=$88x²

The area sides = 2(length+width)height

=2(x+x)h

=4xh square ft.

The material cost for the sides of the box =$(77×4xh)

=$308 xh

Total cost to make the box is =$(88x²+308 xh)

∴C=88x²+308 xh [ C is in dollar]

Now putting $h=\frac{196}{x^2}$

$C=88x^2+308x\times \frac{196}{x^2}$

$\Rightarrow C=88x^2+ \frac{60368}{x}$

Differentiating with respect to x

$C'=176x- \frac{60368}{x^2}$

Again differentiating with respect to x

$C''=176+ \frac{120736}{x^3}$

Now to find the minimum cost, we set C'=0

$\therefore 176x- \frac{60368}{x^2}=0$

$\Rightarrow 176x= \frac{60368}{x^2}$

$\Rightarrow x^3= \frac{60368}{176}$

$\Rightarrow x^3=343$

$\Rightarrow x=7$

Now, $C''|_{x=7}=176+ \frac{120736}{7^3}>0$

Therefore at x=7, the manufacturing cost will be minimum.

The height of the box is $h=\frac{196}{7^2}$ = 4ft

Therefore the dimensions of the box is 7 ft by 7 ft by 4 ft.

The manufacturing cost is $C=88.7^2+ \frac{60368}{7}$ [ putting x=7]

=$12936

Therefore the minimum cost to manufacture the box is $12936.

4 0

2 years ago