The number of shirts and shorts you can buy with $30 is represented by the equation 10x+5y=30. Write the equation in function form.

Answers

Answer 1

Answer:

f(x) = -2x+6

Step-by-step explanation:

Given the equation 10x+5y=30, in order to write as a function form, we need to make y the subject of the formula from the given function as shown;

10x+5y=30

Subtract 10x from both sides

10x+5y - 10x= - 10x+30

5y = -10x + 30

Divide through by 5

5y/5 = -10x/5 + 30/5

y = -2x + 6

Hence the required equation in function form is f(x) = -2x+6


Related Questions

62% of what number is 48?

Answers

Step-by-step explanation:

which absolute value equations represents the graph

Answer:

29.76

Step-by-step explanation:

sorry if incorrect

Please help with this problem

Answers

Answer:

x = 2

Step-by-step explanation:

Multiply both sides by (x-5) and expand:

(x+4)/(x-5)*(x-5) = -2(x-5)

x+4 = -2x+10

Subtract 4 from both sides:

x+4-4 = -2x+10-4

x = -2x+6

Add 2x to both sides:

x+2x = -2x+6+2x

3x = 6

Divide both sides by 3:

3x/3 = 6/3

x = 2

X=2

Your welcome.

(btw the comment i made was wrong)

Use the figure to find the Total Area.
104 sq. units
60 sq. units
52 sq. units

Answers

The correct answer will be 104
The right answer I believe is 104

plz help me i have been asking this question way too much will give brainiset

Answers

Answer:

A. 5 in= 5/12 ft

B. 13 in= 1 1/12 ft

C. 9 oz = 9/16 Ib

D. 18 oz = 1 1/8 lb

Sketch a graph of the system of inequalities ( give me the exact coordinates for where i should put each of them on, please.

Answers

Answer:

hahaha your welcomr

Step-by-step explanation:

it takes 3 men to do a job that takes 8 hours how long would it take 4 men to do that job

Answers

Answer:

i would say about 6 hours

Step-by-step explanation:

If I look in my closet before I go to school, I have 5 pants
options, 12 shirt options, and 3 shoe options; then how
many possible outfits could I have if I choose one of each?

Answers

Answer: 180 possible outfits

Step-by-step explanation:

so basically you're gonna multiply each option by the other, making 5 different ways you could combine pants with that one type of shirt and so on. That gives you 5 x 12 x 3 which is 180

PLEASE HELP WITH STEPS!!!!!!! ANSWER IN SCIENTIFIC NOTATION I WILL GIVE BRIANLIEST

Answers

Answer:

C.)   8.68686 × [tex]10^{7}[/tex]

D.)   4.1688 × [tex]10^{2}[/tex]

Step-by-step explanation:

For C.)  you take 8.69 and multiply that by [tex]10^{7}[/tex] and you'll get 86900000

Then you take 3.14 and multiply that by [tex]10^{4}[/tex] and you'll get 31400

So then you take 86900000 and 31400 and subtract it...

86900000 - 31400 = 86868600 and you convert 86868600 to scientific Notation.

Which would equal **** 8.68686 × [tex]10^{7}[/tex] *****

For D.) you take 4.32 and multiply that by [tex]10^{3}[/tex] and You'll get 4320

then you take 9.65 and multiply that by [tex]10^{-2}[/tex] and you'll get 0.0965

So then you take 4320 and 0.0965 and subtract it...

4320 - 0.0965 = 4319.9035 and you convert 4319.9035 to Scientific Notation.

Which would equal **** 4.1688 × [tex]10^{2}[/tex] ****

what’s the total volume of this cone?

Answers

Answer:

1,005.31

Step-by-step explanation: I just looked up a volume calculator and selected the cone shape option and it gave me the answer. Hoped this helped!

i believe its 1005.31 but im not 100%

Moderators or math geniuses!
Please help me! Please no trolls! I really need this!


Rem is selling apples and oranges. One apple cost P8.00 while orange cost P7.00. He needs to sell at least 3 apples and he wants to sell at least P150.00. Write a system of linear equation and graph the situation.

Answers

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

8.4

Step-by-step explanation:

1 orange → [tex]x[/tex]

1 apple → [tex]y[/tex]

[tex]\frac{\begin{matrix}\space\space&5n&+&7y&=\textbf{6.90}\\ +&5n&+&20y&=\textbf{16.00}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{+13y = +9.1}\end{matrix}}\\y = 0.7[/tex]

[tex]3n + 12y = 9.6\\3 (n+4y) = 3 (3\cdot2)\\x + 4y = 3.2\\5 (n+4y) =5 (3\cdot2)\\5x + 20y = 16[/tex]

12 apples → [tex]12 \times 0.7[/tex]

→→→→→ 8.4

Which expression represents a rational number?
Please help right now!!!

Answers

Answer:

A

Step-by-step explanation:

Every integer is a rational number; a whole number. The square root of 49 equals 7, which is the only outcome giving an integer as an answer.

The function h(t)=−16t(t−7) models the height of an object at any time t after it is launched, where t is measured in seconds. After how many seconds will the object hit the ground?

Answers

Answer:

2.65secs

Step-by-step explanation:

Give:

The function h(t)=−16t(t−7) models

the object will hit the ground at h= 0

h(t)=−16t(t−7)

0= -16t(t−7)

0= -16t^2 + 112

16t^2 = 112

t^2 = 7

t= √7

t=2.65secs

Hence, the object object hit the ground at 2.65secs

Solve the following for j: 2(k+j) = 4m

Answers

Answer: j=−k+2m

Step-by-step explanation: 2(k+j)=4m

2j+2k+−2k=4m+−2k

2j

/2

=

−2k+4m

/2

j=−k+2m

will give brainliest to the correct answer (nor links or account will be reported) :)

Answers

Answer:

50

Step-by-step explanation:

68+62=130 then subract 180-130 and have 50 so x=50

Answer:

x°=50°

Step-by-step explanation:

Because of the Vertical Angle Theorem, the blank angle across from 68° is the same measure. Therefore, since the blank angle is 68°, then x° would be 50° because 180-62-68=50 due to the Triangle Angle Sum Theorem.

what does standard devitation mean?

Answers

Answer:

a quantity calculated to indicate the extent of deviation for a group as a whole.

Step-by-step explanation:

t1ts

Here is a linear equation: y = 1/4x +5/4


Are (1, 1.5) and (12, 4) solutions to the equation?

Yes or No?

PLEASE NEED HELP

Answers

Step-by-step explanation:

(1,1.5) is the solution but (12,4) is not the solution of given equation.

1.5=1/4×1+5/4(which is true)

4=1/4×12+5/4(which is false)

The point )1,1.5) is satisfying the equation y=(1/4)x + (5/4) and the point (12,4) is not satisfying.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Given points are (1, 1.5) and (12, 4). To check whether the points are the solution of the equation or not substitute the coordinates in the equation and check if LHS is equal to RHS then it is a solution otherwise not.

Check the point (1,1.5),

y=(1/4)x + (5/4)

4y = x + 5

(1.5)4 = 1 + 5

6 = 6

Check the point (12k,4),

y=(1/4)x + (5/4)

4y = x + 5

(4 x 4 ) = 12 + 5

16 ≠ 17

Therefore, the point )1,1.5) is satisfying the equation y=(1/4)x + (5/4) and the point (12,4) is not satisfying.

To know more about an equation of the line follow

https://brainly.com/question/18831322

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what is the distance from the origin to the graph of 3x-y+1=0

Answers

I was looking for the same answer too

Answer: sqrt10/10, C

Step-by-step explanation:

Edge 2021

I'm getting confused is it possible for some help??

Answers

Answer:

11i= √-1

Step-by-step explanation:

So first take 1 to the other side so we can leave the numbers with I on one section. So when we take 1 to the other side it becomes negative so 0-1 = -1. Since the 8 is squared to get rid of it were going to put a square root on the whole equation. √8i² + 9i = √-1 and we have to put the square root on the other side of the equation to make it equal. So on the other side we now have 8i + 3i *because the square root of 9 is 3* and then the -1 stays like that so its 11i= √-1 because we combine the 8i and 3i. Happy I could help!!!

What is the product of 3800 and 9.9 * 10^5 expressed in scientific notation?

Answers

Answer: i came up with this

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. The sign of the exponent will depend on the direction you are moving the decimal.

3.762

×

10

9

The product of given numbers is 3.7620×[tex]10^9[/tex].

Given that, the product of 3800 and [tex]9.9\times10^5[/tex].

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Now, the product of given numbers is

[tex]3800\times9.9\times10^5[/tex]

= 37620×[tex]10^5[/tex]

= 3.7620×[tex]10^5\times10^4[/tex]

= 3.7620×[tex]10^9[/tex]

Therefore, the product of given numbers is 3.7620×[tex]10^9[/tex].

To learn more about the Scientific notation visit:

https://brainly.com/question/18073768.

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Question 4
In order to ensure that the roof consists of right angles, an architect measures the diagonal to create a triangle. If the dimensions of the
triangle are 9.5 feet, 16 feet, and 18.5 feet, is the triangle a right triangle?

Answers

Answer:I have a question

Step-by-step explanation:

About that question is it a right triangle or no

The triangles with side lengths 9.5 feet , 16 feet and 18.5 feet is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the height of the triangle is AB = 16 feet

The base of the triangle is BC = 9.5 feet

The hypotenuse of the triangle is AC = 18.5 feet

And , for a triangle , if a² + b² > c² , it is an acute triangle

Substituting the values in the equation , we get

( 9.5 )² + ( 16 )² > ( 18.5 )²

90.25 + 256 > 342.25

346.25 > 342.25

Hence , the triangle is an acute triangle

To learn more about triangles click :

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Anyone think they can help me on this ?

Answers

Answer:

The third one

Step-by-step explanation:

x-5y=6

x-5y+5y=6+5y

x=5y+6

It’s the 3rd one I’m pretty sure

Which equation is linear ????????

Answers

Answer:

it's gonna be y= 3x

The solution set to the equation
(x+1)
=9 is which of the following?
4

Answers

Answer:

8

Step-by-step explanation: if x+1=9 all you have to do is subtract 9-1 and then you get your answer

3/7​% of a quantity is equal to what fraction of the​ quantity?

Answers

Answer:

3/700

Step-by-step explanation:

Let

x = the quantity

3/7% of x

= 3/7 ÷ 100 * x

= 3/7 × 1/100 * x

= (3*1)/(7*100) * x

= 3/700 * x

= 3/700x

3/7​% of a quantity = 3/700 of the quantity

What is the recursive rule for the sequence? -1,-0.5,0,0.5,1,...

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

The subscript (n-1) is used to indicate the term previous to term (n). In this sequence, each term is 0.5 more than the previous term, so the recursive relation ...

  [tex]a_n=a_{n-1}+0.5[/tex]

is the appropriate one. This matches choice C.

__

Additional comment

Of course, if the next term is 0.5 more than the last, then the previous term is 0.5 less than the present one. The sequence can be described in this "backward" fashion by the recursive relation of choice A. While that does work to describe the sequence, it is usually not the form we desire for a recursive relation.

can you plz help me with this

Answers

It’s b what u need to do is 13x9 which is 117 then divide it by 2 which is 58.5

How do you factor trinomials step by step

Answers

Answer:

Step 1: Identify the values for b and c. In this example, b=6 and c=8.

Step 2: Find two numbers that ADD to b and MULTIPLY to c. This step can take a little bit of trial-and-error. ...

Step 3: Use the numbers you picked to write out the factors and check

Step-by-step explanation:

thank me later

Please help me with this question

Answers

Answer:

4,410

Step-by-step explanation:

4) Your drawer contains 9
white shirts, 4 blue shirts,
and 7 red shirts. You place 3
shirts (one at a time) at
random into your bag for a
weekend trip. What is the
probabilty that all three
shirts you put in your bag
are white? Express your
answer as a decimal
rounded to the nearest
hundredth (two places past
the decimal).

Answers

Answer:

7.37%

Step-by-step explanation:

9/20 x 8/19 x 7/18 = 7/95 (simplified) which is 7.37%

PLEASE HELP
Find the next four range terms of each arithmetic sequence. Then graph the sequence.
(5,5), (10, 8), (15, 11), ...

Answers

I can help you find the last four but you need to graph them. The next four in the sequence is (20, 14), (25, 17), (30, 20), (35, 23). I hope this helps!
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