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2 years ago

A number, y, is five times another number, x. The sum of the two numbers is 42. Write the system of equations.

Mathematics

2 answers:

vovikov84 [41]2 years ago

5 0

Answer:

5x+x=42

6x=42

x=7

Step-by-step explanation:

svetlana [45]2 years ago

5 0

Answer:

y = 5x

x + y = 42

Step-by-step explanation:

If y is 5 times greater than x, this can be represented by y = 5x

The sum of x and y is 42, so this can be represented by x + y = 42

So, the system of equations will be:

y = 5x

x + y = 42

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Find X
9/1.5 = 6
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2 years ago

Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?

bearhunter [10]

Answer:

$\sf \log_{10}6=0.7781$

Step-by-step explanation:

Given:

$\sf \log_{10} 2 = 0.3010$

$\sf \log_{10} 3 = 0.4771$

To find log₁₀ 6, first rewrite 6 as 3 · 2:

$\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)$

$\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay$

$\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2$

Substituting the given values for log₁₀ 3 and log₁₀ 2:

$\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}$

Therefore:

$\sf \log_{10}6=0.7781$

Learn more about logarithm laws here:

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1 year ago

Read 2 more answers

Let X be the number of purchases that Fred will make on the online site for a certain company (in some specified time period). S

Mrac [35]

Answer: ???

Step-by-step explanation:

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3 years ago

-X² + 5x - 6 = 2 Using the quadratic formula

Ivenika [448]

$-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\$

↝ Form into $ax^2+bx+c = 0$ where a > 0 (Optional)

$x^2-5x+8=0$ ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

$x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\$

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

↝ Solution with Real Numbers System ↝ There are no real solutions.

↝ Solution with Complex Number System ↝

$x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}$

Therefore, the answer for Complex Number System is (5±√7i)/2

3 0

2 years ago

What is the value of (20−1+52−0)−1×5

lara [203]

19+52−0−(1)(5)
71−0−(1)(5)
71−(1)(5)
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Answer:
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3 years ago