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4 years ago

11

Type the correct answer in the box. Use numerals instead of words. What is the solution for x in the equation? 10x − 4.5 + 3x =

12x − 1.1 x =

1 answer:

melomori [17]4 years ago

4 0

10x - 4.5 + 3x = 12x - 1.1
13x - 4.5 = 12x - 1.1
13x - 12x - 4.5 = 12x - 12x - 1.1
1x - 4.5 = -1.1
1x - 4.5 + 4.5 = -1.1 + 4.5
1x = 3.4
X = 3.4

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garri49 [273]

Answer:

B: (x - 4)² = 44

Step-by-step explanation:

Start with x^2 - 8x - 10 = 18.

Simplify the constants by adding 10 to both sides: x^2 - 8x - 10 + 10 = 18 + 10.

Then x^2 - 8x = 28.

Now identify the coefficient of x. It is -8.

Take half of this, obtaining -4.

Square this result, obtaining 16.

Add 16, and then subtract 16, to x^2 - 8x:

x^2 - 8x + 16 - 16 = 28.

Add 16 to both sides:

x^2 - 8x + 16 = 28 + 16 = 44

Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:

(x - 4)² = 44. This is in the form (x - p)² = 44, and matches Answer B.

Note: Please use " ^ " to indicate exponentiation: (x - 4)^2 = 44

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3 years ago

The Skittles jar has a radius of 3.5 cm and a height of 11.5 cm. Using the two given boxes for reference what would be a good es

nevsk [136]

Answer:

1052

Step-by-step explanation:

The two given boxes for reference are presented below.

Since we know the dimensions of the first container, we can calculate its volume.

$V_1= 5 \text{cm} \cdot 4 \text{cm} \cdot 4 \text{cm} = 80 \text{cm}^3$

The first container held 192 skittles. Using that fact, now that we know the volume of the first box, we can calculate the volume of a single skittle.

$v = \frac{80}{192} = 0.416 \approx 0.42 \text{cm}^3$

The second container held 258 skittles.

The volume of the second box is:

$V_2 = 12 \text{cm}\cdot 3 \text{cm} \cdot 3 \text{cm} = 108 \text{cm}^3$

Using this facts, the volume of a single skittle would be

$v = \frac{108}{258} = 0.418 \approx 0.42 \text{cm}^3$

Therefore, the volume of single skittle is around to 0.42 cm³.

A skittle jar is a cylinder. Its volume is calculated by the formula

$V = r^2h \pi$ ,

where $r$ is the radius and $h$ is the height. From the given data, we have $r = 3.15 \text{cm}$ and $h = 11.5 \text{cm}$ . Hence, the volume of the jar is

$V = 3.5^2 \cdot 11.5 \cdot 3.14 = 442 \text{cm}^3$

Now, we can determine the number of skittles in the jar. Let $n$ be the number of skittles in the jar. Then,

$n = \frac{\text{volume of the jar}}{\text{volume of a skittle}} = \frac{V}{v} = \frac{442}{0.42} = 1052.38 \approx 1052\\$

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3 years ago

How can I solve this?

lord [1]

X=4 see attached steps

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