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alukav5142 [94]

2 years ago

13

Maritza says that the number y is equal to 5 less than -5 times x. Which of the following equations could be used to find the va

lue of y?

1 answer:

Vsevolod [243]2 years ago

5 0

Answer:

y= -5x-5

Step-by-step explanation:

Y is equal to 5 less than -5 times x, which means it is 5 less than -5x.

If y is 5 less than -5x, that means it is equal to -5x-5.

If you were to put that in an equation, it would be y= -5x-5

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B-23%7D%7B30%7D%20%2B%20%5Cfrac%7B5%7D%7B48%7D" id="TexFormula1" title="\frac{-23}{30

Monica [59]

Answer:

(-53)/80

Step-by-step explanation:

Simplify the following:

-23/30 + 5/48

Put -23/30 + 5/48 over the common denominator 240. -23/30 + 5/48 = (8 (-23))/240 + (5×5)/240:

(8 (-23))/240 + (5×5)/240

8 (-23) = -184:

(-184)/240 + (5×5)/240

5×5 = 25:

(-184)/240 + 25/240

-184/240 + 25/240 = (-184 + 25)/240:

(-184 + 25)/240

-184 + 25 = -159:

(-159)/240

The gcd of -159 and 240 is 3, so (-159)/240 = (3 (-53))/(3×80) = 3/3×(-53)/80 = (-53)/80:

Answer: (-53)/80

7 0

3 years ago

the interval between the root and the third of a major triad is made up of ____ half steps . . A. three . B. four . C. five . D.

Masteriza [31]

<span>The interval between the root and the third of a major triad is made up of three half steps. The correct option among all the options that are given in the question is the first option or option "A". I am sorry to say that you have chosen the wrong answer. I hope that this answer has helped you.</span>

7 0

3 years ago

Help me please this delta math has to be done today

xz_007 [3.2K]

hola ny yo no puedo y quiero la respuesta

3 0

2 years ago

Read 2 more answers

Can some on help me on this question?

mario62 [17]

Answer:

x=10 and x-7 is the answer

Step-by-step explanation:

a)2x-7=13

2x=13+7

2x=20

x=20/2

x=10

b)3x+4=25

3x=25-4

3x=21

x=21/3

x=7

i hope it will help you

6 0

3 years ago

Read 2 more answers

Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, $b$ must be a natural number, which means that:

$1 + 2\cdot a\cdot c \ge 4$

$2\cdot a \cdot c \ge 3$

$a\cdot c \ge \frac{3}{2}$

But the lowest possible product made by two prime numbers is $2^{2} = 4$ . Hence, $a\cdot c \ge 4$ .

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Example: $a = 2$ , $c = 2$

$b = \sqrt{1 + 2\cdot (2)\cdot (2)}$

$b = 3$

4 0

3 years ago