All categories

3 years ago

What value will make the equation true?

Mathematics

1 answer:

Viktor [21]3 years ago

6 0

Answer:

-.6

Step-by-step explanation:

-2.1 - x = -1 1/2

Change the fraction to a decimal

-2.1 -x = - 1.5

Add 2.1 to each side

-2.1 -x+2.1 = -1.5 +2.1

-x = .6

Multiply each side by -1

x = -.6

You might be interested in

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

2 years ago

PLS answer the question below. I will mark brainliest!!

sesenic [268]

Answer:

5 triangles maybe?

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Not a question. just wanted to say I'm making a wand and it looks pretty sick

zhannawk [14.2K]

Answer:

oh ok thanks for free points

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

19 and use the bar thing to get answeer no links or i report

Agata [3.3K]

I think it’s C

Explanation: the blue yarn is 7 and the red yarn is 10 if you combine both as 7 + 10= 17

6 0

2 years ago

On a single roll of a pair of dice, what are the odds against rolling a sum of 12?

o-na [289]

Answer:

$\frac{1}{35}$

Step-by-step explanation:

On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.

Total outcomes = 36

Odd against favor = $\frac{non \ favorable\ outcomes}{favorable \ outcomes}$

Number of outcomes of getting sum 12 is 1

Number of outcomes of not getting sum 12 is 36-1= 35

odds against rolling a sum of 12= $\frac{1}{35}$

3 0

2 years ago