what is 1/2(10x +20y +10z) using the distributive property? also as an equivalent expression?

Answers

Answer 1

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]

[tex]=5x+10y+5z[/tex]

Therefore, the required expression is 5x+10y+5z.


Related Questions

For the function F(x)= 1/x-2 whose graph is shown below, what is the relative value of F(x) when the value of x is close to 2?​

Answers

Answer:

10,000

Step-by-step explanation:

Help please on this question. I’d appreciate it if you answered.

Answers

Ok so the letters overwrap all of the alphabets and the other terms are in.

Answer:

see below

Step-by-step explanation:

Consonants and vowels do not overlap

There are no consonants that are vowels and no vowels that are consonants

That means the circles will never touch

Which section of the function is decreasing? (4 points) A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward Select one: a. A b. B c. C d. D

Answers

Answer: D

Step-by-step explanation:

If segment D moves downward it means its function has a negative slope so the line will be  decreasing.  

Answer:

D

Step-by-step explanation:

Obviously just because the slope is going down hence decreasing. \

Hope this helps! :)

Please help what are the slope and the y intercept of the linear function that is represented by the table?

Answers

Answer:

The slope is -2, the y-intercept is 12

Step-by-step explanation:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Chose any two coordinates pair. Let's make use of:

[tex] (0, 12) = (x_1, y_1) [/tex]

[tex] (3, 6) = (x_2, y_2) [/tex]

Thus,

[tex] slope (m) = \frac{6 - 12}{3 - 0} [/tex]

[tex] slope (m) = \frac{-6}{3} [/tex]

[tex] slope (m) = -2 [/tex]

Using the slope-intercept equation, find the y-intercept, b, as follows:

[tex] y = mx + b [/tex]

Use any coordinate pair as x and y, then solve for b.

Let's use (3, 6)

[tex] 6 = (-2)(3) + b [/tex]

[tex] 6 = -6 + b [/tex]

Add 6 to both sides

[tex] 6 + 6 = - 6 + b + 6 [/tex]

[tex] 12 = b [/tex]

The slope (m) of the linear function that is represented by the table is -2, while the y-intercept (b), is 12.

Answer:

The slope is –2, and the y-intercept is 12.

Step-by-step explanation:

I used it and got it right

If ABCD is a parallelogram find the value of unknow size​

Answers

Step-by-step explanation:

Hey, there!!

As it is a parallelogram, remember basic properties of parallelogram,

Their opposite sides are parallel and equal to eachother. Their opposite angles are equal.They have properties of parallel lines too.

Now, lets solve your question.

b = (7×10)°

Therefore, b= 70°.

now, (3x+10°)+b=180° { co- interior angle of a triangle sum is 180°}.

or, 3x= 180°-80°

or, x= 100°/3

Therefore, x= 33° { rounding off we get 33}.

w+ b =180°

w+70°=180° { coointerior angles are equal}.

Therefore, w =110°

Hope it helps....

Write equivalent expressions.

1. 5(a+a+a)= ________________________________________________________________________

2.6(3x-4)=____________________________________________________________ _______​

Answers

Answer:

15a

18x -24

Step-by-step explanation:

5(a+a+a)

Combine terms in the parentheses

5(3a)

Multiply

15a

6(3x-4)

Distribute

18x -24

a cylinder with radius 7 and height 4 is in table,then find its volume?

Answers

Answer:

V = ≈615.75

Step-by-step explanation:

hopefully that helped

8 more than a number

Answers

Answer:

[tex]\boxed{ 8 + x}[/tex]

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

Answer:

x + 8 is the meaning.

Step-by-step explanation:

“more” means addition. Take the number as “x”, so it will be x + 8.

That's the answer.

Find the value of z.

Answers

Answer:

Option D, 110

Step-by-step explanation:

first we find x

10x+20-80=2(2x+15)

or, x=15

now, 10x+20 = 170

so, z = 360-170-80 = 110


what is the perimeter of rhombus ABCD ?

Answers

Answer:

20

Step-by-step explanation:

Since you can use the Pythagorean theorem to calculate the length of the hypotenuse, each side can be found to be 5. There are four equal sides, so it is 20.

Multiply. √6x⋅√15xy⋅√20 Please answer as quickly as possible

Answers

Answer:

[tex]30x\sqrt{2y}[/tex]

Step-by-step explanation:

First, multiply sqrt.(6x) by sqrt.(15xy)

That equals sqrt.[tex]\sqrt{90x^{2}y } *\sqrt{20}[/tex]

then, rewrite [tex]90x^{2} y[/tex] as (3x)^2 * (10y)

you have [tex]\sqrt{(3x)^{2} *(10y)} *\sqrt{20}[/tex]

Next, pull the terms from out under the radical, to get:

[tex]3x\sqrt{10y} *\sqrt{20}[/tex]

Now rewrite 20 as 2^2 * 5

You get [tex]3x\sqrt{10y} *(2\sqrt{5} )[/tex]

Multiply everything together to get: [tex]6x\sqrt{50y}[/tex]

Now rewrite 50 y as 5^2 * 2y

You end up with [tex]6x\sqrt{5^{2}*(2y)}[/tex]

Then, pull out the terms from under the radical.  You get:

[tex]6x(5\sqrt{2y})[/tex]

Finally, multiply the 5 and 6 together to get: [tex]30x\sqrt{2y}[/tex]

Answer:

[tex]\boxed{30\sqrt{2} x^2 y}[/tex]

Step-by-step explanation:

[tex]\sqrt{6} *x*\sqrt{15} * x*y*\sqrt{20}[/tex]

[tex]\sf Multiply[/tex]

[tex]\sqrt{6}\sqrt{15}\sqrt{20}*x*x*y[/tex]

[tex]\sqrt{6*15*20}*x^2 *y[/tex]

[tex]\sqrt{1800}x^2y[/tex]

[tex]\sf Simplify[/tex]

[tex]\sqrt{900} \sqrt{2} x^2y[/tex]

[tex]30\sqrt{2} x^2 y[/tex]

31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-

Answers

Answer:

The correct choice is Option A. m ≥ -28/5

Step-by-step explanation:

Which of the following is the domain of the function based on the input-
output table below?



Answers

Answer:

C

Step-by-step explanation:

The domain of the function is the left column of the table, {5,10,15,20,25,30,35}

If the graph of y=|x| is translated so that the point (1,1) is moved to (4,1) what is the equation of the new graph?

Answers

This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:

[tex]y = |x - 3|[/tex]

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

When a function f(x) is translated a units to the left, we get f(x - a).

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

In this question:

The original function is [tex]y = |x|[/tex]

Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.

Thus, the new equation is:

[tex]y = g(x) = f(x - 3) = |x - 3|[/tex]

A similar question is given at https://brainly.com/question/23602866

Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]

Answers

The equation of a line is:

[tex] \displaystyle \large{y - y_1 = m(x - x_1)}[/tex]

Since the line has to be parallel to line y = 4x+1. Hence, m = 4.

[tex] \displaystyle \large{y - y_1 = 4(x - x_1)}[/tex]

Given point is (1,1). Let this be the following:

[tex] \displaystyle \large{(x_1,y_1) = (1,1)}[/tex]

Substitute the point in.

[tex] \displaystyle \large{y - 1 = 4(x - 1)}[/tex]

Convert the equation in a slope-intercept form or function form.

First, distribute 4 in the expression.

[tex] \displaystyle \large{y - 1 = 4x - 4}[/tex]

Add 1 on both sides.

[tex] \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}[/tex]

Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3

Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.

Answers

Answer:

Following are the function description to the given question:

Step-by-step explanation:

In the given-question, three functions are used, that can be defined as follows:  

In function 1:

This function is also known as the modulus on the absolute value function, for example:

[tex]f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x<0 }} \right.[/tex]

In the given in the above graph, that is [tex]f(x) = -x , \ \ x<0[/tex]

In function 2:

In this function, It is an algebraic function that is [tex]y=x^2[/tex]

It is also a part of the quadratic polynomial function, and its value is [tex]y=x^2 , \ \ \ x> 0[/tex]  

In function 3:

In this function, it is the cubic polynomial equation that's value is [tex]y=x^3[/tex]

In the graph its value is:

[tex]y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\[/tex]

A recipe needs two and one sixth cups of walnuts and eight and one eighth cups of peanuts. How many cups of nuts are needed for the recipe in all? please answer!!!

Answers

Answer:

10 and seven twenty-fourths (10 7/24)

Step-by-step explanation:

2 1/6 + 8 1/8 =

2 4/24 + 8 3/24 =

10 7/24

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Given that :

Diameter (d) = 18 cm

Pi (π) = 3.14

Radius (r) = d/2 = 18/2 = 9 cm

We know that volume of sphere is

Volume of Sphere = 4/3πr³

Volume = 4/3 × 3.14 × (9)³

Volume = 4/3 × 3.14 × 729

Volume = 4 × 3.14 × 243

Volume = 12.56 × 243

Volume = 3052.08

Hence, the volume is 3052.08 cm³

does anyone know how to solve 182 6/8 divided by 3 .

Answers

Answer:

Step-by-step explanation:

Convert 182 6/8 into improper fraction

[tex]182\frac{6}{8}=\frac{1462}{8}[/tex]

[tex]\frac{1462}{8}[/tex]÷ 3 =[tex]\frac{1462}{8}*\frac{1}{3}=\frac{1462}{24}[/tex]

= 60 22/24

What are the terms in the expression 13y + 4p + 11?
A.17y + P
B.13y, 4p, 11
C.13, 4, 11

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?​

Answers

Answer:

1/7 is left

Step-by-step explanation:

What is left to read after the first week

1 - 3/7

7/7 - 3/7

4/7

He read 3/4 of this the second week

4/7 * 3/4

3/7 was read

4/7 - 3/7 is what is left

1/7 is left

Answer:

The correct answer is

Step-by-step explanation:

1/7 of the book is left to read.

Hope this helps....

Have a nice day!!!!

simplify:(x/y+y/x-1)+(x^2/y^2-x/y+1)​

Answers

Answer:

[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]

Step-by-step explanation:

[tex]( \frac{x}{y} + \frac{y}{x - 1} ) + ( \frac{ {x}^{2} }{ {y}^{2} } - \frac{x}{y + 1} )[/tex]

[tex] \frac{xy \times (x - 1) \times (y + 1) + {y}^{3} \times (y + 1) + {x}^{2} \times (x - 1) \times (y + 1) - {xy}^{2} \times (x - 1)}{ {y}^{2} \times (x - 1) \times (y + 1)} [/tex]

[tex]\frac{( {x}^{2} y - xy) \times (y + 1) + {y}^{4} + {y}^{3} + ( {x}^{3} - {x}^{2} ) \times (y + 1) - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{2} - {y}^{2} ) \times (y + 1)}[/tex]

[tex] \frac{ {x}^{2} {y}^{2} + {x}^{2} y - {xy}^{2} - xy + {y}^{4} + {y}^{3} + {x}^{3} y + {x}^{3} - {x}^{2}y - {x}^{2} - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} ) } [/tex]

[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]

Answer:

2

Step-by-step explanation:

PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((

Answers

1: 3.12-3=0.12
2: 3.22-3=0.22
3: 3-2.99=0.01
4: 3.111-3=0.111

0.01<0.111<0.12<0.22
∴ Rain gauge 3 was the most accurate

Hope my answer helped u :)

inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Answers

Answer:

General Equation of a Line

[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

Which graph represents 7x+2y< 8

Answers

Answer:

Graph C.

Step-by-step explanation:

Hi there!

Well let’s first put,

7x + 2y < 8

We need to single out y.

7x + 2y < 8

-7x to both sides

2y < -7x + 8

Divide everything by 2,

y < -7/2x + 4

Well the shade on the graph should be going down because it is y is less than,

And the y intercept should be at 4 with a dotted line and a slope of -7/2.

So graph C. Is correct.

Hope this helps :)

The graph that represents the inequality 7x + 2y < 8 will be graph C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The inequality is given as,

7x + 2y < 8

Simplify the equation in slope-intercept form, then we have

7x + 2y < 8

2y < 8 - 2x

y < (8 - 2x) / 2

The value of the variable 'y' is less. Then the graph that represents the inequality 7x + 2y < 8 will be graph C.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

round to the nearest place value shown​

Answers

87.3, 213.43, 672, 5980, 12800

HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?

Answers

Answer: 33

First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.

There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. c How many of these sets contain any 4 numbers?

Answers

Answer: The number of sets contain any 4 numbers = 210

Step-by-step explanation:

Given: Universal set = {0,1,2,3,4,5,6,7,8,9}.

i.e. Total choices = Numbers in set = 10

By combinations, the number of sets contain any 4 numbers =[tex]^{10}C_4[/tex]

[tex]=\dfrac{10!}{4!6!}\ \ \ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{10\times9\times8\times7\times6!}{4\times3\times2\times1 \times6!}\\\\=210[/tex]

Hence, the number of sets contain any 4 numbers = 210

Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.

Answers

Answer:

y=x-7

Step-by-step explanation:

Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7

PLEASE HELP ILL LOVE U FOREVER
In Exercise 4, find the surface area of the solid
formed by the net.

Answers

Answer:Exact Surface Area = [tex]480+32\sqrt{3}[/tex]Approximate Surface Area = 535.425625842204

Round the approximate value however you need to

Units are in square centimeters.

===================================================

Work Shown:

You have the 160 portions correct since 20*8 = 160.

The other pieces are equilateral triangles, in which we use the formula

[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]

where x is the side length of the triangle. Plug in x = 8 to get

[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]

That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]

The total surface area is the sum of all the smaller areas

[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]

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

The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.

Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]

Round this however you need to.

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