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3 years ago

What is the answer to this

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

The number that belongs in that green box is -1 because you are subtracting 1 from both sides in order to eventually isolate x.
Then you’ll have
-3x = -36 [divide by -3 to isolate x]
x = -36/-3
x = 12

garik1379 [7]3 years ago

5 0

When you subtract from a negative its more like adding - but keeping the negative sign.

so 35+1
36

keep the negative!
-36 :)

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Using the diagram below, determine what the value of x is. Remember a straight line is 180 degrees and a complete circle is 360

Andreas93 [3]

Answer:

x= -66

Step-by-step explanation:

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3 years ago

For a field trip for students Road in cars and the rest filled nine buses how many students were in each bus it for how to 72 st

jasenka [17]

72 divided by 9 equals 8
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3 years ago

Select the correct answer.

stich3 [128]

The volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

<h3>Calculating Volume </h3>

From the question, we are to determine the volume of the container

Volume of the container = Volume of the cone - Volume of the small cone

The volume of a cone is given by the formula,

V = 1/3πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

For the small cone,

Diameter = 10 cm

∴ Radius, r = 10cm/ 2 = 5 cm

h = 6 cm

For the big cone

diameter = diameter of the container = 30 cm

∴ Radius = 30cm/ 2

Radius = 15cm

h = height of small cone + height of container

h = 6 cm + 20 cm

h = 26 cm

Putting the parameters into

Volume of the container = Volume of the cone - Volume of the small cone

We get,

Volume of the container = 1/3π × 15² ×26 - 1/3π × 5² × 6

Volume of the container = 1/3π (15² ×26 - 5² × 6)

Volume of the container = 1/3π (5850 - 150)

Volume of the container = 1/3π (5700)

Volume of the container = 1/3 × π × 5700

Volume of the container = 5969.026 cm³

Volume of the container ≈ 5969 cm³

Hence, the volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

Learn more on Calculating volume here: brainly.com/question/12004994

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2 years ago

How many L of A 90% saline solution must be mixed with 4 L of a 50% saline solution to make a 74% solution ?

insens350 [35]

Answer:

6 L

Step-by-step explanation:

Given two solutions:

1st solution is 90% saline solution. Let the volume of this solution be $x$ litres.

2nd solution is 50% saline solution. Volume of this solution = 4 L

Resultant solution is 74% saline.

To find:

The volume of 1st solution = ?

Solution:

Total volume of the 74% saline mixture = (4+ $x$ ) Litres

We can write equation here, as per the percentage of saline in the mixtures.

90% of $x$ L + 50% of 4 L = 74% of ( $x$ +4)

$\Rightarrow \dfrac{90x}{100} + \dfrac{50}{100}\times 4 = \dfrac{74}{100}\times (x+4)\\\Rightarrow 90x + 200 = 74x+296\\\Rightarrow 90x-74x = 296-200\\\Rightarrow 16x = 96\\\Rightarrow x = \bold{6\ L}$

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3 years ago

State the number of complex roots, the number of positive real roots and the number of negative real roots of

harkovskaia [24]

9514 1404 393

Answer:

2 complex roots
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Step-by-step explanation:

The signs of the terms are + - - +. There are two sign changes, so 0 or 2 positive real roots.

Negating the signs of the odd-degree terms, the signs are + + + +. There are no sign changes, so 0 negative real roots.

For x=0, the value of the quartic is +3. For x=1, the value is -3, so we know there are 2 positive real roots, one of which lies in the interval (0, 1).

The 4th-degree polynomial equation must have 4 roots, so the other two must be complex.

2 complex roots
2 positive real roots
0 negative real roots

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The roots are approximately 0.489999841592, 2.06573034434, −0.777865092969 ± 1.53582061225i

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2 years ago