Is (1, 6) a solution to this system of equations?
5x + 2y = 17
x + 3y = 19
yes
no

Answer:

This is in slope intercept form

y = mx + b

m is the slope b is the .y intercept so the y intercept is -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

We know this because the equation is y=mx+b. M represents the slope and b represents the y-intercept. In this case, -6 is in the y-intercept’s place. Therefore, we know that -6 is the y-intercept.

Answer:

17/33

Step-by-step explanation:

The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.

Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,

[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,

giving:

[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]

x = 51/99

Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

Learn more about fractions here:

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Answer:

9:00 pm, 4th November

Step-by-step explanation:

Since ;

Brisbane is 10 hours ahead of London

New York is 5 hours behind London

Then, Brisbane is (10 + 5)hours ahead of New York.

Then Brisbane is 15 hours ahead of New York

Time and Date Brisbane resident called New York = 12 Noon, 5th November

Time and Date in New York will be :

(12 Noon - 15 hours) = 9:00 pm, 4th November

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Answer:

Step-by-step explanation:

100-65=35

y=35 % of 200=0.35×200=70

[tex] = > 8n+ 103 = 15n + 75 \\ [/tex]

[tex] = > 103 - 75 = 15n - 8n \\ [/tex]

[tex] = > 28 = 7n\\ [/tex]

[tex] = > n = \frac{28}{7} = 4 \\[/tex]

Answer:

x = 30.96

Step-by-step explanation:

tan θ = opposite / adjacent

tan θ = 12/20

tan θ = 0.6

[tex]tan^{-1}[/tex](0.6) = 30.96

Answer:

(5,0)

Step-by-step explanation:

Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

125 cm ans

may be it is helpful

Answer:

f'(x) = -6/x³

Step-by-step explanation:

We are given;

f(x) = 3/x²

Using quotient rule, we can write as;

f(x) = g(x)/h(x)

To find the derivative, from quotient rule, we can write;

f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²

g'(x) = 0

h'(x) = 2x

Thus;

f'(x) = [(x²*0) - (3*2x)]/(x²)²

f'(x) = -6x/x⁴ = -6/x³

f'(x) = -6/x³

Answer:

Exact Form:

91 / 5

Decimal Form:

18.2

Mixed Number Form:

18 1/5

i got the totally of 141.5

just add them all up to get 849

and divide them by how many numbers there are

which is 6

Answer:

the answer is b)3

Step-by-step explanation:

2=36

?(x)=54

2×54=36x

108/36=x

x=3

Answer:

8 + 2t

In five years, 18 feet

Answer:

8 + 2(t)

Step-by-step explanation:

8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so

ex.

2 years pass

8 + 2(2) = 8 + 4 = 12ft

2ft per year, 2 years = 4

Answer:

length= 710 width= 420

Step-by-step explanation:

As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:

2l+2w= 2260

With the length as:

l= w+290

The length, substituted into the perimeter is:

2(w+290)+2w=2260

Distribute:

4w+580=2260

Subtract:

4w=1680

Divide:

w=420

To find the length, take the width and add 290:

420+290=710

l=710

Answer: M(-4,7)P(0,5)Q(-2,1)

Step-by-step explanation:

The translation is telling you to subtract each x value by 4 and add 1 to each y value.

Answer:

29568

Step-by-step explanation:

Given that:

Length of road = 2 miles

Number of people who can fit in a area of 5 feet by 5 feet = 14

To find:

Number of people that can fit in the road of the given dimensions.

Solution:

Given that one side 2 miles wide and 5 feet deep.

First of all, we need to find number of 5 feet by 5 feet block that can be made in the given dimensions.

2 miles = 10560 feet

Number of blocks = [tex]\frac{10560}{5}[/tex] = 2112

Number of persons that can fit in one block = 14

Number of persons that can fit in 2112 blocks = 14 [tex]\times[/tex] 2112 = 29568

Therefore, the answer is: 29568

Answer:

16

Step-by-step explanation:

according to the question

5x-7=8x-55

8x-5x=-7+55

3x=48

x=48/3

x=16

Answer:

I think #2

Step-by-step explanation:

Answer:

12 cups of sugar

Step-by-step explanation:

Total cups of sugar = x

Cookies = 1/2x

Big cake = 2 cups

Sugar left = 4 cups

x = 1/2x + 2 + 4

Collect like terms

x - 1/2x = 6

1/2x = 6

Divide both sides by 1/2

x = 6 ÷ 1/2

= 6 × 2/1

= 12/1

x = 12 cups of sugar

Answer:

Since the Airbus A300 model airplane was made to scale, measuring 36 centimeters, while the real airplane measures 54 meters, to determine the scale ratio between both planes, the following calculation must be performed:

36cm = 0.36m

0.36 = 1

54 = X

54 x 1 / 0.36 = X

150 = X

Therefore, the scale ratio between the model and the real plane is 150:1.

Answer:

x < 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2x > -12

Step 2: Solve for x

Here we see that any value x smaller than 6 would work as a solution to the inequality.

Answer:

x < 6

Step-by-step explanation:

Hello!

We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.

The solution set for x is all values less than 6.