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4 years ago

Three times b less than 100 is equal to the product of 6 and b

Mathematics

2 answers:

Vlada [557]4 years ago

5 0

The equation is : 100 -3b = 6b

The solution: variable b = 11.9

<h3>Further Explanation</h3>

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

$\large{\boxed{\bold{ax\:=\:b}}}$

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large{\boxed{\bold{ax+by=c}}}$

x, y = variable

In the statement of the task:

three times b less than 100 is equal to the product of 6 and b is the same as 100 minus 3 times b equals 6 times b.

If we translate this sentence into equation, :

100 -3b = 6b

This equation belongs to One variable linear equation because there is one variable = b and the exponent number is one

The solution is :

100 = 9b

b = 100 : 9

b = 11.1

<h3>Learn more </h3>

the slope-intercept form of the linear equation

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a graph of a linear equation

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system of linear equations

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Keywords : one variable, linear equation , product, less than, equal to, two variable, constants

Irina-Kira [14]4 years ago

4 0

Not exactly sure which equation you meant:

3(100-b)=6b
300-3b=6b
300=9b
b= about 33

100-3b=6b
100=9b
b=about 11

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What's x? How do u solve to get x

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4 years ago

for In the given expression, calculate as indicated. Express your answer as a single polynomial in standard form. 4x^(3)-2x^(2)

matrenka [14]

Answer:

The polynomial in standard form is $y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}$ .

Step-by-step explanation:

A polynomial in standard fulfills the following condition:

$y = \Sigma_{i=0}^{m}\,c_{i}\cdot x^{i}$ , $\forall\,i\in \mathbb{N}$ , $0 \leq i \leq m$

Let be $y = (4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)$ , which is now handled algebraically:

1) $(4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)$ Given

2) $(4\cdot x^{3}-2\cdot x^{2}+9) +(-1)\cdot (6\cdot x^{2}-6\cdot x + 5)$ $(-1)\cdot a = -a$

3) $(4\cdot x^{3}-2\cdot x^{2}+9) +[(-1)\cdot (6\cdot x^{2})+(-6\cdot x)\cdot (-1)+5]$ Definition of substraction/Distributive property

4) $(4\cdot x^{3}-2\cdot x^{2}+9)+(-6\cdot x^{2}+6\cdot x + 5)$ $(-1)\cdot a = -a$ / $(-a)\cdot (-b) = a\cdot b$

5) $4\cdot x^{3}+ (-2\cdot x^{2}-6\cdot x^{2})+6\cdot x + (9+5)$ Associative and commutative properties

6) $4\cdot x^{3}-8\cdot x^{2}+6\cdot x + 14$ Distributive property/Definition of addition

7) $14 + 6\cdot x -8\cdot x^{2}+4\cdot x^{3}$ Commutative property/Result

The polynomial in standard form is $y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}$ .

7 0

3 years ago

A3=-27 and a5=-162. Find the common ratio

SpyIntel [72]

Answer:

c = $\sqrt{6}$

Step-by-step explanation:

a3 = -27

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a5 = a3 * c^2

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c = $\sqrt{6}$

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3 years ago

14) 8 people from a group of 15<br> O a.) 5435<br> Ob.) 6345<br> O c.) 6435<br> Od.) 6543

musickatia [10]

Answer: 6435

Step-by-step explanation:

$\binom{15}{8}=6435$

8 0

2 years ago

After you add both sides by 9. How can you solve for 5z in this equation <br> 5z-3=12

lutik1710 [3]

Answer:

OPTION A: Divide both the sides by 5

Step-by-step explanation:

We are given: 5z - 3 = 12

When we add 9 to both sides we get:

5z - 3 + 9 = 12 + 9

⇒ 5z + 6 = 21

⇒ 5z = 21 - 6 = 15

⇒ 5z = 15

To find the value of z we have to divide both the sides by 5.

i.e., $\frac{5z}{5} = \frac{15}{5}$

⇒ z = 3.

3 0

3 years ago