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3 years ago

How to solve multi step equations

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

Answer:

x = –2

Step-by-step explanation:

– 6(1+4x) = –x +40

–6 – 24x = –x +40

24x –x = –6 –40

23x= – 46

x= – 46 / 23

x= – 2

I hope I helped you‌^_^

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13 1/10-7 9/10<br><br> i need help

a_sh-v [17]

Answer:

52/ 10 = 5 2/10 or 5 1/5

Step-by-step explanation:

first turn the mixed fractions into improper fraction

13 1/10= 131/10

7 9/10= 79/10

since the two fractions already have a common denominator just subtract

131 - 79 = 52

52/ 10 = 5 2/10 or 5 1/5

4 0

3 years ago

Read 2 more answers

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

Find the PERCENT of change.<br> 20 dogs to 5 dogs

aliya0001 [1]

Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

3 0

3 years ago

What is the value of n? n–2= 10n+ 4/2 Enter your answer in the box.

pentagon [3]

Answer:

-4 / 9

Step-by-step explanation:

n - 2 = 10n + 4/2

n - 10n = 4/2 + 2

-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)

-9n = 8/2

-9n = 4

n = 4 / -9

therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .

7 0

3 years ago

What is the exact volume of the figure?

uranmaximum [27]

Answer: 890.12 cm^3

Step-by-step explanation:

The formula for the volume of a cylinder is

$V=\pi *r^2*h$

V=628.3185307 cm^3

or simply

V=628.32 cm^3

Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.

Next, the formula for the volume of a sphere is

$V=\frac{4}{3} \pi *r^3$

so the volume of a hemisphere is half of that or:

$V=\frac{2}{3} *\pi *r^3$

V= 261.7993878 cm^3

or simply

V=261.80 cm^3

Finally, you add both of the volumes together to get

V= 890.1179185 cm^3

or simply

V=890.12 cm^3

7 0

3 years ago