1. "Ten subtracted from the quotient of a number and
7 is less than -6."

The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

[tex]16=1.2n+(-8)[/tex]

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

Given information-

The given statement is  'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]

Thus the equation can be used to represent the given statement is,

[tex]16=1.2n+(-8)[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

[tex]x\\[/tex]Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]x+4=2[/tex]

we want to solve for [tex]x[/tex] so we will let [tex]x[/tex] alone and we will move [tex]4[/tex] to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):

[tex]x=2-4[/tex]

solve :

[tex]x=2-4 \\x=-2[/tex][tex]x=2-4[/tex]

[tex]x=-2[/tex]

now [tex]x[/tex] is equal to [tex]-2[/tex]

Answer:

x = -2

Step-by-step explanation:

x + 4 = 2

x + 4 - 4 = 2 - 4

x = - 2

Step-by-step explanation:

sum of two interior angles is equal to one exterior angle....this implies that,

(6x+4) +(5x+2)= 12x-4

11x+6=12x-4.......make X the subject

11x-12x=-4-6

-x= -10......divide both sides by -1

x=10

Answer:  32/35

Step-by-step explanation:

reduce the expression , if possible , by cancelling the common factors

Answer:

[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]

Answer:

Step-by-step explanation:

The system has infinitely many solutions if the two equations are equivalent.

We can analyze the given systems to see:

A)

Different slopes, there is one solution

B)

Different slopes, there is one solution

C)

Same lines, infinitely many solutions

D)

Different slopes, there is one solution

Solution:

When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.

Option A - 2x + 7x + y = 6 and y = 9x + 6

Option B - y = 5x + 7 and y = 2x + 8

Option C - y = x + 4 and 2y = 2x + 8

Option D - 7x - y = 10 and y = 6x + 8

Hence, Option C is correct.

Answer:

(2x +3) (4x +y)

Step-by-step explanation:

refer the image

Answer: I think the answer is 5.3x + 1.7

some problem , pls refer the attachment for your answer

Hope it helps ~

Translating:

Please help

I believe you want me to factor it, so:

( x + 1/2 )^2 + ( a - 2 )^2 - 14/2

Answer:

[tex]x=a+1,\:x=-a-3[/tex]

Step-by-step explanation:

Remove parenthesis:

[tex]x^2+2x-a^2-4a-3=0[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=a+1,\:x=-a-3[/tex]

\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}

Answer:

0.875

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)

Hi there!

8.

Recall the following properties:
[tex]\frac{1}{x^{-a}} = x^a\\\\x^0 = 1[/tex]

Thus, we can rearrange the expression in parts.

[tex](3x)^0 = 1\\\\x^4 = x^4\\\\y^{-4} = \frac{1}{y^4}\\\\\frac{1}{x^{-3}} = x^3\\\\\frac{1}{y^{-7}} = y^7[/tex]

Now, combine these terms:

[tex](1) * x^4 * \frac{1}{y^4} * x^3 * y^7 = \frac{x^4 * x^3 * y^7}{y^4}[/tex]

More properties:
[tex]x^a * x^b = x^{a + b}\\\\\frac{x^a}{x^b} = x^{a - b}[/tex]

Rewrite:
[tex](1) = x^{4 + 3} * y^{7 - 4} = \boxed{\text{D) } x^7y^3}[/tex]

9)

Begin by solving the inside of the parenthesis.

[tex](3^2 + 3^0)^2 = (9 + 1)^2 = 10^2 = 100\\\\(6^{-2} + 3)^0 = 1\\\\100 - 1 = \boxed{ \text{ B. 99}}[/tex]

10)

Simplify the inside of the parenthesis using the above properties.
[tex](\frac{x^2y^5z^3}{xy^7})^{-2} = (\frac{xz^3}{y^2})^{-2}[/tex]

Since there is a negative in the outside exponent, we must take the reciprocal. (flip the numerator and denominator).

[tex]=( \frac{y^2}{xz^3})^2[/tex]

Square both the numerator and denominator.

Recall the property:
[tex](x^a)^b = x^{ab}[/tex]

[tex]= \frac{y^{2*2}}{x^2 * z^{3 * 2}} = \boxed{ \text{C. }\frac{y^4}{x^2z^6}}[/tex]

Answer:

Sunshine has $19 left after spending $10.

Step-by-step explanation:

29 - 10 = x

Subract 10 from 29 to solve for x.

x = 19

Answer:

y=-6x

Step-by-step explanation:

decreasing 6/1 rise/run and no y int

Answer:

y= -6x

Step-by-step explanation:

As you move up vertically  from your y-intercept (0,0) six times, you can see that your x-intercept increased by -1. Because your x-intercept has increased by -1, there is a negative sign in front of 6x

There is no number after -6x because the place where your line meets the y-axis (y-intercept) is (0,0).

Answer: c . 6/121

Step-by-step explanation: 100% on edge

The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Given:

Beginner book=2

Intermediate book=6

Instructional piano books=11

Advanced books=3

Hence:

Probability=(2×3)÷(11×11)

Probability=6/121

Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ2

Answer:

belve t would be drives

Step-by-step explanation:

Hope ths helps.

Answer:

20%

Step-by-step explanation:

(final - initial)/initial

48-40)/40

8/40

1/5

or 20% error

Answer:

B

Step-by-step explanation:

When you reflect across the x-axis, the x coordinate stays the same, but the y coordinates changes signs.

Answer:

it depends on the circumstances

Step-by-step explanation:

Answer:

6-9 months I'm pretty sure

Answer: why is there two a’s?

Step-by-step explanation:

if those are the correct angles then 1 can be formed because every triangle always adds up to 180

Answer:

answer is 1

Step-by-step explanation:

I honestly made a lucky guess

Answer:

A. 1/2 has still to be put in the pool, if we already have 7500 litres in the pool and that's half we need 7500 more which is another half.

B. if 7500 is half the amount that can fit in the pool it means that when the pool is full there are 15000 litres of liquid in the pool meaning that if there is barely 5000 litres we are barely 1/3 of the way done. but if the question is asking if we add 5000 to the 7500 already in the pool we will have 12500 out of the 15000 required to fill the pool, this fraction simplified would be 5/6

8/5=x/16

=5x=128

x=25.6

it is b answer

7/10=x/12

10x=84

x=8.4

it is a answer

Answer:

Approximately twenty-three and a half.

answer: 5.34

Step by step explanation 12.75 + 13.95=26.7

20% of 26.7 is 5.34

Answer:

Answer is the second one( -1/2)