what is 6 9/32 as a decimal​

Answer:

82 R?

Step-by-step explanation:

Step-by-step explanation:

5x + 2y = 10

2x + y = 2, 4x + 2y = 4.

Therefore (5x + 2y) - (4x + 2y) = 10 - 4, x = 6.

=> 2(6) + y = 2, y = -10.

The solutions are x = 6 and y = -10.

Answer:

4x⁵ z⁸

Step-by-step explanation:

hope it helps!

.......

Answer:

4 x^5 z^8

Step-by-step explanation:

To make it easy I am categorizing this in two groups. One is (xz^3), late us name it A and the other is after the multiplication sign that is (4x^4z^5) which we are naming B. Now 4 from b multiplies 1 from a(as there is no number which means there must be 1). In multiplication of power of bases we have to add the powers which means x from a × x^4 from b= x from a's power 1 + x from b's power 4=x^5 and repeating same process in case of z resulting in z^5.

Hence the above mentioned ans comes...

Hope this helps you

Answer:

Please check the explanation.

Step-by-step explanation:

4)

If an equation representing a parabola is in vertex form such as

[tex]y\:=a\left(x-k\right)^2+h[/tex]

then its vertex will be at (k, h).

Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form

[tex]y\:=a\left(x+1\right)^2+3[/tex]

If this parabola also passes through the point (1, -5) then we can determine the  'a ' parameter.

[tex]-5\:=a\left(1+1\right)^2+3[/tex]

simplifying the equation

[tex]2^2a+3=-5[/tex]

[tex]4a+3=-5[/tex]

subtract 3 from both sides

[tex]4a+3-3=-5-3[/tex]

[tex]4a=-8[/tex]

Divide both sides by 4

[tex]\frac{4a}{4}=\frac{-8}{4}[/tex]

[tex]a=-2[/tex]

So our equation in vertex form is:

[tex]y\:=-2\left(x+1\right)^2+3[/tex]

5)

Given the expression

[tex]15n^2-6n[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]

[tex]=15nn-6n[/tex]

[tex]\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}15\mathrm{\:as\:}3\cdot \:5[/tex]

[tex]=3\cdot \:5nn-3\cdot \:2n[/tex]

Factor out the common term 3n

[tex]=3n\left(5n-2\right)[/tex]

6)

Given the expression

[tex]2x^2+5x-10x-25[/tex]

Factor 2x²+5x: x(2x+5)

Factor -10x-25: -5(2x+5)

so the expression becomes

[tex]=x\left(2x+5\right)-5\left(2x+5\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}\left(5+2x\right)[/tex]

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

The given equation are:

3x + 4y = 8

and 6x – 2y = 9

(1)

(2)

Now, in order to add these equations and eliminate y, we should multiply the bottom equation by 2, thus we have

3x + 4y = 8

12x – 4y= 18

(3)

(4)

Now, adding the above equations, we

have

15x 26

= 26 15

Now, substituting the value of x in equation (3), we have

3(25) + 4y=8

y=1

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

A.P.E.X 2021

Answer:

3 3/4 in 1 hour

Step-by-step explanation:

Divide

5/4 ÷ 1/3

15/4

3 3/4 per hour

The number of days Super Sally and Lazy Petunia work are illustrations of simultaneous equations

(a) Super Sally and Lazy Petunia

Represent their earnings with the first letters.

So, we have:

[tex]\mathbf{L = \frac 12S}[/tex] -- number of days

[tex]\mathbf{20L + 57S= 7733}[/tex] --- the total earnings

Make S the subject in [tex]\mathbf{L = \frac 12S}[/tex]

[tex]\mathbf{S = 2L}[/tex]

Substitute 2L for S in [tex]\mathbf{20L + 57S = 7733}[/tex]

[tex]\mathbf{20L + 57 \times 2L = 7733}[/tex]

Expand

[tex]\mathbf{20L + 114L = 7733}[/tex]

Add

[tex]\mathbf{134L = 7733}[/tex]

Divide both sides by 134

[tex]\mathbf{L = 57.7}[/tex]

From the options, the closest to 57.7 is 60.

Hence, the number of days that Petunia worked is closest is 60

(b) 4 digit even numbers

The digits are given as: 0, 1, 5, 6, 7, 8 and 9

To create a 4-digit number, the first digit cannot be 0.

So, the first digit can be any of the remaining 6

Because, it is an even number, the number can only end with 0, 6 or 8

So, the last digit can be any of the 3

Since there is no repetition, the second and the third digits can be any of the remaining 5 and 4 digits, respectively.

So, the number of digits is:

[tex]\mathbf{n =6 \times 3 \times 5 \times 4}[/tex]

[tex]\mathbf{n =360}[/tex]

Hence, the number of digits is (d) 360

(c) The value of 28^983 x 98^984/14^2948

Rewrite the expression as:

[tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex]

Express all number as a base of 14

[tex]\mathbf{\frac{14^{2 \times 983} \times 14^{7 \times 984}}{14^{2948}} }[/tex]

Apply law of indices

[tex]\mathbf{14^{2 \times 983+7 \times 984-2948}}[/tex]

Evaluate all products

[tex]\mathbf{14^{1966+6888-2948}}[/tex]

Evaluate the exponent

[tex]\mathbf{14^{5906}}[/tex]

Hence, the result of [tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex] is [tex]\mathbf{14^{5906}}[/tex]

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Work Shown:

When comparing units like inches, feet and yards, we need to get everything in the same unit to make a valid comparison. So we'd need to convert everything to inches for instance. The same idea applies to these five coins. We need to get everything in either lorgs, sinds, plunks, harps or dalts (pick one of those five).

It's effectively the same as trying to convert dollars into cents (eg: $1.37 converts to 137 cents). Or you can think of it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The steps in the various sections below will aim to get all the coins converted to lorgs as our base unit. I found the lorg coin to be the smallest of value through trial and error, which is why I'm aiming to get everything in terms of lorgs.

The four given equations are

I'll refer to them as equation (1) through equation (4) in that order above.

--------------

1 sind = 4 logs .... equation (1)

5 sinds = 20 lorgs .... multiply both sides by 5

2 harps = 20 lorgs .... replace "5 sinds" with "2 harps" from equation (3)

1 harp = 10 lorgs .... divide both sides by 2; call this equation (5)

--------------

1 plunk = 3 harps .... equation (4)

1 plunk = 3*(1 harp)

1 plunk = 3*(10 lorgs) .... plug in equation (5)

1 plunk = 30 lorgs .... call this equation (6)

---------------

2 plunks = 5 dalts ..... equation (2)

5 dalts = 2 plunks

5 dalts = 2*(1 plunk)

5 dalts = 2*(30 lorgs) .... replace 1 plunk with 30 lorgs; see equation (6)

5 dalts = 60 lorgs

1 dalt = 12 lorgs ..... divide both sides by 5; call this equation (7)

----------------

We found the following conversions:

Each of those equations helps us see how much the value of the coins sind, dalt, harp, plunk are in terms of lorgs.

We can see that 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable. The lorg coin is least value since you need 4 of those coins to make the second lowest coin of 1 sind.

The order of the coins value from least to greatest is: lorg, sind, harp, dalt, plunk.

Answer:

a < -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-11 > 1 + a

Step 2: Solve for a

Here we see that any value a smaller than -12 would work as a solution to the inequality.

Answer:

a < -12

Step-by-step explanation:

Answer:

it would be c

Step-by-step explanation:

Answer:

13 inches

Step-by-step explanation:

length of side of cube: x

volume of cube = x³ = 2300

x = ∛2300 = 13.2

Answer: My buy Justin is cracked at fortnite my guy...

Step-by-step explanation:

Answer:

10:30 and 17:51

Step-by-step explanation:

Answer:

The range is 46

Step-by-step explanation:

-172 is the minimum

-126 is the maximum

subtract -126 by -172 and you get 46

Answer:

the 6 x 5squared(with the little two on the top)

:)

Answer:

6 * 5^2  .....  6 * 5* 5 ........ 150

Step-by-step explanation:

going left to right the top row its the 2 and 4 and the bottom row is the middle one

Answer:

I would say around 41.3% I'm sorry if I am wrong :/

Step-by-step explanation:

62/150 around 0.413

Answer:

This is the answer do it fast. Ok

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 8x + 13 ← is in standard form

with a = 1 and b = - 8 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into the equation for corresponding value of y

y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3

Vertex = (4, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = 4 ← equation of axis of symmetry

To determine direction of opening

• If a > 0 then graph opens up

• If a < 0 then graph opens down

Here a = 1, thus graph opens up

Answer:

B

Step-by-step explanation:

Here, we want to get the value of m

The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18

So what we have will be;

m * 6 - 6 = 18

6m -6 = 18

6m = 18 + 6

6m = 24

m = 24/6

m = 4

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

Answer:

41.5

Step-by-step explanation

The equation is

X×65/100=27

x=27×100/65

x=27×20/13

x=540/13

x=41.5

Answer:

Choice C

Step-by-step explanation:

The only one that isn't a linear function is table C. If we take a look at table D (because it's easier and without any negatives) the x values decreases by two every time and the y values increase by 4 every time. Then when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is why this table isn't a linear function.

The only one that is a nonlinear function is table Choice C.

In mathematics, linear refer to a proportional behaviour that can be modelled with a line, the functions that model this behaviour are called linear functions, and their graphs are lines.

Now, linear expression refers to an expression which has variables with an exponent equal to one.

But Nonlinear functions have a slope that varies between points.

If we take a look at table D because it's easier and without any negatives then we can see that the x values decreases by two every time and the y values increase by 4 every time.

Thus when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is not a linear function.

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Answer:

256 cm^2

Step-by-step explanation:

All of the sides of the square are equal so to calculate the area we do side times side.

16*16 = 256

cm^2 is the unit for this question

Answer:

It is D

Step-by-step explanation:

Distribute:

=(4)(5m)+(4)(3)+2m

=20m+12+2m

Combine Like Terms:

=20m+12+2m

=(20m+2m)+(12)

=22m+12

Answer: -3

Step-by-step explanation: hope this help

Answer:

(x,y)=(-10/3+8r/3,4r t 1)

Step-by-step explanation:

乁( •_• )ㄏMe da wuebo escribir todo la explicación

Answer:

Hello

No function.There are two 7's on the x-axis. There can be 2 or more same numbers on the y-axis.

Step-by-step explanation:

Answer is No.

Answer:

6.

Step-by-step explanation:

f(x) = √(x - 4)      x > 4

y = √((x - 4)

Square both sides

y^2 = x - 4

x = y^2 - 4

So the inverse:

f-1(x) = x^2 + 4

f(-1)'(x) = 2x

When x = 3

f(-1)'(3) = 2(3) = 6.

Answer:

I think d

Step-by-step explanation:

Answer:

- At least <turn the other way. I think it should be d

Answer:

y ≈ 33.4 ft

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from angle measure

Angle = 80°

Adjacent = 5.8

Hypotenuse = y

Step 3: Solve for y

Answer:

i forgot how to do this

Step-by-step explanation: