Use the distributive property to remove parentheses
2/5(4+10y)

Answers

Answer 1

2/5(4) + 2/5(10y)

8/5 +20y/5

8/5 + 4y

Answer 2

Answer:

8/5 + 4y

Step-by-step explanation:

[tex]\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y[/tex]


Related Questions

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.

(Pls Explain in Simple terms)

Answers

Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,

The points represented by the (x,y) coordinate pairs in the table below all lie on line k. What is the slope of line k?

Answers

Answer:

the slope is -2/1

You can find it by using the equation [tex]\frac{y_{1}- y_{2} }{x_{1}- x_{2} }[/tex]

so 3-1/1-2= 2/-1, which is also written as -2/1

Barry is checking his bank account for a few transactions that he completed. He had $230
in his account to start and then contributed a check for $360. He paid his water, electric and
cable bill, which were $100, $46 and $107. How much money is in his bank account?

A. $253
B. $383
C. $590
D. $337

Answers

Answer:

D.

Step-by-step explanation:

$230 + $360 = $590

$590 - $253* = $337

$337

*( total sum of all the bills )

New Orleans is 2 meters below sea level.
Baton Rouge is 17 meters above sea level.
How much higher is Baton Rouge than New Orleans?

Answers

Answer:

Baton Rouge is 19 meters higher that New Orleans.

Please help

Solve the inequality.
|14 – 5x] > 8
[?]
x <
or x >
A

Answers

Answer:

x< -4/1 or x > 6/5

If our answers are different, just say so :)

Does anyone know how to finish this equation?

Answers

Not sure what you mean?

Simplify the following expression. 2p – 10 – 4p – 7

Answers

Answer:

the answer is-2p-3

hope is helpful

Answer:

2p – 10 – 4p –7

–2p –17

I hope I helped you^_^

S...
Find the length of UT.
12
T
14
W
2x+2
2x + 5
V
A. 32
B. 43
O o
C. 21
D. 39

Answers

9514 1404 393

Answer:

  A. 32

Step-by-step explanation:

The relationship between segment lengths is ...

  WT·WU = WC·WV

  14(2x +2) = 12(2x +5)

  28x +28 = 24x +60

  4x = 32

  2x = 16

Then the measure we're after is ...

  UT = WT +WU = 14 +(16 +2)

  UT = 32

PLS PLS PLS IM BEGGING YOU, HELP ME, i’ve been trying so hard to solve this for hours and i still dont get it :( pls help me

Answers

Answer:

m=79

t=54

Step-by-step explanation:

yes these are the answers

Answer:

angle  t =  54 degrees

angle m=79(alternate angles)

Step-by-step explanation:

angle p=126 degrees

angle z=79 degrees

 

angle p + angle t=180(allied angles)

      126 + t           =180

                t           =180-126

                        t =  54 degrees

u=79(vertically opposite angles)

therefore;

    angle m=79(alternate angles)

You have two cards with a sum of (-12) in your hand.
Add two more cards but the total of cards stay the same

Answers

Answer:

you could have a 6 and then a -6

or a 3 and a -3

or 0 and 0

have 2 cards with the same number but one is negative

Step-by-step explanation:

A parallelogram has a base of 10 centimeters and a height of 4 centimeters. What is the area of the parallelogram?​

Answers

The area of the parallelogram is 40 centimeters

Answer:

Formula = base x height

10 x 4 = 40

Area = 40cm

Step-by-step explanation:

brainliest to best answer

Answers

Answer:

2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

so 2x1=2 so -2x-1=2

if its wrong i dont now cause im silly

Which of the following statements is true for the following data set?
7, 5, 6, 4, 7, 8, 12
a. Only the mean and median are equal.
b. Only the mean and mode are equal.
c. Only the median and mode are equal.
d. The mean, median, and mode are all equal.

Answers

Answer:

D.

Step-by-step explanation:

Mean : 7 + 5 + 6 + 4 + 7 + 8 + 12 = 12 + 10 + 7 + 20 = 30 + 19 = 49. 49/7= 7

Mode : 7.

Median 4 , 4, 6, 7, 7, 8, 12.    7 is the middle number

Find the value of x.
95
38°
X

Answers

Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47

The perimeter of the triangle below is 4x + 3y. Find the measure of the missing side.

Answers

Answer:

let side be t

t + x + y +x + y = 4x + 3y

t + 2x + 2y = 4x + 3y

t = 2x +y

so missing side length is 2x + y

Help I need an equation and an answer


37. Mia won $77 in a raffle at her team's fundraiser. Later she split it amongst her friends and gave $14 to each, keeping $21 for herself. How many friends did she share it with?​

Answers

she share it to thirty seven people

Find the output, k, when the input, t, is -7.

k= 10t - 19

k=

Answers

Answer:

Here is the answer . hope this helps.

Three foreign languages are offered at Cliff High School. 1/6 of the students take French, 1/5 take Spanish, and 1/3 German. Which
fraction represents the number of students taking a foreign language at Cliff HS?

Answers

Answer:

1/3

Step-by-step explanation:

What are two ways you could represent the expression 3-4n

Answers

There are not just "the two ways" to represent this expression. There are two ways, surely, but they are not the only ways as implied.

You could expose 4 and get something like [tex]4(\frac{3}{4}-n)[/tex] or expose 3 and get something like [tex]3(1-\frac{4}{3}n)[/tex].

But you could also say something like [tex]3-(1+3)n=3-n-3n=-3(n-1)-n[/tex]... in fact there are a lot of ways to write any expression.

Hope this helps :)

A rectangle has an area of 48 cm2 and a perimeter of 38 cm. What are the dimensions of the rectangle?

Answers

The dimensions of the rectangle will be 3 cm. and 16 cm..

Solution:

First, calculating the area of the rectangle, based on these dimensions,

Formula for the area of a rectangle:

A=LW

A=(3)(16), or A=(16)(3)

A=48 cm²✔

So, now we know that these dimensions satisfy the area of the rectangle, but do they satisfy the perimeter of the rectangle?

Now, calculating the perimeter of the rectangle, based on these dimensions,

Formula for the perimeter of a rectangle:

P=2(L+W)

P=2(3+16), or 2(16+3)

P=2(19)

P=38 cm ✔

Now, we know that both of these dimensions satisfy both of the given conditions. So, the final answer is that the two dimensions of the rectangle are 3 cm. and 16 cm.. I hope that this answer helped you find what you were looking for. Enjoy your day, and take care.

State the domain of each function.

1. [tex]g(a)=\sqrt{1+a^{2}}[/tex]

2. [tex]f(x)=\frac{2}{x} + \frac{4}{x+1}[/tex]

Please show your work, as the steps are the only reason I'm asking.

Answers

Answer:

[tex] \rm \displaystyle g(a) = \sqrt{1 + {a}^{2} } \xrightarrow{ \rm Domain}a \in \mathbb{R}[/tex]

[tex] \rm\displaystyle f(x)=\frac{2}{x} + \frac{4}{x+1} \xrightarrow{ \rm Domain}x \in \mathbb{R} / \{0, - 1 \}[/tex]

Step-by-step explanation:

Question-1:

we want to figure out the domain of the following function:

[tex] \displaystyle g(a) = \sqrt{1 + {a}^{2} } [/tex]

remember that, the domain of an even root function are all values of x for which the redicand is positive or 0 that is being said the domain of the function g(a) belong to [tex]\mathbb{R}[/tex] . another way to think about it, the domain of square root function f(x) belong to x≥0. In this case we have square variable in the redical so when we input a negative number, it yields a positive number with that said the domain of the function g(a) belong to all the real numbers.Thus,

[tex] \rm \displaystyle g(a) = \sqrt{1 + {a}^{2} } \xrightarrow{ \rm Domain}a \in \mathbb{R}[/tex]

Question-2:

we'd like to find the domain of the following function:

[tex] \displaystyle f(x)=\frac{2}{x} + \frac{4}{x+1}[/tex]

in order to do so we need to simplify it further,so simplify addition in order to do so the first step is to figure out the LCM of the denominator i.e x(x+1) +x, secondly divide the denominator of every fraction by the LCM and multiply the result by the numerator of very fraction ,then finally add them therefore,

[tex] \displaystyle f(x)=\frac{2x + 2+4x}{ {x}^{2} + x } \\ \displaystyle \boxed{\frac{6x + 2}{ {x}^{2} + x }} [/tex]

we know that the domain of a rational function are all the values of x for which the denominator is different than 0.

the denominator of the function would be 0 when x=0 and -1 thus,

[tex] \rm\displaystyle f(x)=\frac{2}{x} + \frac{4}{x+1} \xrightarrow{ \rm Domain}x \in \mathbb{R} / \{0, - 1 \}[/tex]

and we're done!

If 3x+2=5/9, what is the value of −3x+8?

Answers

Answer:

[tex] \frac{85}{9} [/tex]

Step-by-step explanation:

hopefully the picture is clear and understandable!

:)

solve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.​

Answers

Answer:

x = - 6, y = - 29

Step-by-step explanation:

Elimination:

2*(-5x + y = 1) = -10x + 2y = 2

9x - 2y = 4 = + (9x - 2y = 4) =

-x = 6

x = -6

9(-6)-2y=4

-54-2y=4

-2y=58

y=-29

(1/5) to the power of 2

Answers

Answer:

0.04

Step-by-step explanation:

first we change 1/5 into a decimal which is 0.2

the we just multiply it by itself which is

0.04

I apologize for asking this again but I need help finding the complementary angles, ASAP

Answers

Answer:

2nd option is correct

∠AEF and ∠FED , ∠AEG and ∠CEG

Step-by-step explanation:

1st option is a supplementary and even 3rd and 4th options

A baseball player had a batting average of 0.334 for the season. Write this numbwr in expanded form​

Answers

Answer:

0.300 + 0.030 + 0.004

or

0.100 x 3  +  0.01 x 3  +  0.001 x 4

If z=(x+y)e^y and x=5t and y=1−t^2, find the following derivative using the chain rule. Enter your answer as a function of t.

dz/dt= ?

Answers

By the chain rule, if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then

[tex]\dfrac{\mathrm dz}{\mathrm dt} = \dfrac{\partial f}{\partial x}\dfrac{\mathrm dx}{\mathrm dt} + \dfrac{\partial f}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}[/tex]

We have [tex]f(x,y)=(x+y)e^y[/tex], for which

• [tex]\dfrac{\partial f}{\partial x} = e^y[/tex]

• [tex]\dfrac{\partial f}{\partial y} = e^y + (x+y)e^y = (x+y+1)e^y[/tex]

and [tex]x(t)=5t[/tex] and [tex]y(t)=1-t^2[/tex], so that

• [tex]\dfrac{\mathrm dx}{\mathrm dt} = 5[/tex]

• [tex]\dfrac{\mathrm dy}{\mathrm dt} = -2t[/tex]

Putting everything together, we get

[tex]\dfrac{\mathrm dz}{\mathrm dt} = 5e^y - 2t(x+y+1)e^y \\\\ \dfrac{\mathrm dz}{\mathrm dt} = 5e^{1-t^2} - 2t(5t-t^2+2)e^{1-t^2} = \boxed{\left(2t^3-10t^2-4t+5\right)e^{1-t^2}}[/tex]

The solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].

What is the Chain rule?

The chain rule explains how to calculate a composite function's derivative.

What is a composite function?

If you may write [tex]f(g(x))[/tex] , a function is composite. It's a function within a function, or a function of a function, in other words.

By the chain rule, we can write if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then,

[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]

As it is given to us, [tex]f(x,y)=(x+y)e^y[/tex], therefore, we can write,

[tex]\dfrac{\partial f}{\partial x}=e^y[/tex][tex]\dfrac{\partial f}{\partial y}=e^y+(x+y)e^y=(x+y+1)e^y[/tex]

And x(t)=5t, while y(t)=1-t², So,

[tex]\dfrac{dx}{dt}=5[/tex][tex]\dfrac{dy}{dt}=-2t[/tex]

Now, Substitute all the values together, in the equation,

[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]

Substituting the values we will get,

[tex]\dfrac{dz}{dt} &=(5 \times e^y)+[-2t(x+y+1)e^y]\\\\[/tex]

     [tex]=5e^{1-t^2}-2t(5t-t^2+2)e^{1-t^2}\\\\=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex]

Hence, the solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].

Learn more about Chain Rule:

https://brainly.com/question/2285262

Do the following graphs represent a mathematical function? If not, explain why.

Answers

Answer:

Yes for both

Step-by-step explanation:

In such cases use the vertical line test. If the graph is intersected at more than one point, it is not  a function.

Both the given graphs represent a function as both pass the vertical line test.

Answer:

Yes

Step-by-step explanation:

Whenever you are given a problem that's asking to see if a graph is a function or not, always use the vetical line test to determine that. In short, you draw a line accross each y axis point and if the line only goes accross one point throughout the graph then it's a function. Following the test we will see that both graphs are indeed functions.

Best of Luck!

need help with some khan academy stuff

Answers

Answer:

2.2 % per minute

35 minutes

Step-by-step explanation:

(0,23%) and (30, 89%)

We can find the slope

m = ( y2-y1)/(x2-x1)

    = (89-23)/(30-0)

   66/30

   =2.2 % per minute

To get to full change we need 100-23 = 77 %

77% * 1 minute/ 2.2 % =35 minutes

A troop leader recorded whether the members of two troops prefer hiking or swimming. The troop leader plans to create a two-way table to display the results.

Which variables can the troop leader use as the row and column headings of the table?
troop number and number who prefer hiking
troop number and activity preference
activity preference and number of troop 1 members
activity preference and number of troop 2 members

Answers

The second one is the correct answer

Answer:

troop number and activity preference or b

Step-by-step explanation:

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