b) The cost (x) for hiring and artist for a stage show for (y) hours is represente
as 2y + x = 20.
Draw the graph 2y + x = 20 on the grid below.
[4]​

Answers

Answer 1

The easiest way is to transform this equation to intercept form of straight line.

[tex]\\[/tex]

Intercept form of straight line:

[tex]\dfrac{x}{a}+\dfrac{y}{b}=1[/tex]

where [tex]a[/tex] is the x intercept - where the graph intersects the x axis, and [tex]b[/tex] is the y intercept - where the graph intersects the y axis.

[tex]\\[/tex]

Given that,

[tex]2y + x = 20[/tex]

[tex] \longrightarrow \: \dfrac{2}{20}y + \dfrac{x}{20} = 1[/tex]

[tex] \longrightarrow \: \dfrac{x}{20} + \dfrac{y}{10} = 1[/tex]

On comparing with [tex]\dfrac{x}{a}+\dfrac{y}{b}=1,[/tex] we get,

[tex]a=20[/tex][tex]b=10[/tex]

Hence, the graph shall cut the x axis and y axis at 20 and 10 respectively. This information is enough to plot the graph.

[tex]\\[/tex]

Graph: Refer to the attachment.

B) The Cost (x) For Hiring And Artist For A Stage Show For (y) Hours Is Representeas 2y + X = 20.Draw

Related Questions

how to write two pounds and four pence

Answers

1/4

There are 100 pence in a pound, so 2 pounds is 200 pence. 50 is 1/4 of 200.
Also look at the pictures it’s the answer sheet❤️

HELP PLS WUICK! GIVING OUT BRAINLIST

Answers

multiply by 2 :))
hope this helps

Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Answers

Answer:

sorry 2458946547165874%

Step-by-step explanation:

8 + 6 − (8 ÷ 4) x 2 i need help

Answers

Answer:

10

Step-by-step explanation:

8 + 6 - (8 ÷ 4) × 2

8 + 6 - 2 × 2

8 + 6 - 4

14 - 4

10

what is the surface area of the jewlery box below ?
( click on the image for the full box )
A. 146 cm
B. 292 cm
C. 336 cm
D. 672 cm

Answers

Answer:

B 292

Step-by-step explanation:

Hello There!

The first thing we want to do is find the formula for surface area of a rectangle

[tex]SA=2(wl+hl+hw)[/tex]

where w = width h = height and l = length

we are given the dimension:

h = 7

w = 8

l = 6

all we have to do is plug in

[tex]SA=2(8*7+6*7+6*8)\\8*7=56\\6*7=42\\6*8=48\\48+42+56=146\\146*2=292\\SA=292[/tex]

so we can conclude that the surface area is 292

Which single function can be used to determine the length of BC? :v

Answers

Answer:

Step-by-step explanation:

Missy has a box that is 5 in. high, 20 in. long, and 5 in. wide. Use a formula to find the volume of the box.
Which of the following is the volume?
OA. 50 cubic inches
OB. 100 cubic inches
C. 250 cubic inches
O D. 500 cubic inches

Answers

Answer:

Its D

Step-by-step explanation:

I just submited that same exact test from connexus

Answer: D 500 cubic centimeters

Step-by-step explanation:

The formula of a volume is Volume = Length x Width x Height. In this case, it already gave us all of the sides that we need! So all we need to do is multiply 5 x 5 x 20 which gives us 500 cubic centimeters!

Hope this helped! ^^

can anyone help me with this answer?

Answers

Answer:

6m-2m+12 and 4(m+3)

Step-by-step explanation:

4(m+12)=4m+48❎

3m-m+12=2m+12❎

6m-2m+12=4m+12✅

4(m+3)=4m+12✅

Can anyone help me with this question?

Answers

Answer:

A = 78.5

Step-by-step explanation:

to find the area of a quarter of a circle, find the area of the whole circle and divide it by 4:

A = (π[tex]r^{2}[/tex]) ÷ 4

A = (3.14 x [tex]10^{2}[/tex])  ÷ 4

A = (3.14 x 100)  ÷ 4

A = 314  ÷ 4

A = 78.5

what is the value of k if - 2/3(k - 6) = 3/2(k+6)​

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:  -30/13

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Moriah studied for 3 hours to prepare for her history exam. How many minutes did she study?

Answers

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

How many 6 digit combinations are there using only numbers 1-9?

Answers

Answer:

With no digits repeated that would be 60,480

Step-by-step explanation:

9×8×7×6×5×4 = 60,480

Krish and Aanya gor to a restaurant for dinner. Their meals total $13.75. The tax is 5%

a. How much tax is added to the bill?
b. Aanya and Krish want to leave a 15% tip based on their bill and tax combined. How much should they leave?

Answers

Answer:

A) $6.87

B) $3.09

Step-by-step explanation:

HELP ME PLEASE



Part 2: What is the quotient of
5
3
?
4
12

Answers

Answer:

addition=24

subtraction=6

multiplication=720

division=1.8

evimi
Simplify 6(3+4) - 5(1 + 2).

Answers

Step-by-step explanation:

6(3+4) - 5(1+2)

= 6 x 7 - 5 x 3

= 42 - 15

= 27

Step-by-step explanation:

6(3+4) - 5(1+2)

6×7 - 5×3

42 - 15 = 27

11/60 as a mixed number

Answers

Answer:

5 /11 is the Mixed Number.

Have a good day! :D

Step-by-step explanation:

The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation

Answers

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

Solve the following values for x and y 1) (8x + 7) 5y (7y - 34) (9x - 4)​

Answers

9514 1404 393

Answer:

x = 11y = 17

Step-by-step explanation:

Vertical angles have the same measure, so we can equate expressions for each vertical angle pair:

top and bottom

  8x +7 = 9x -4

  11 = x . . . . . . . . . . add 4-8x to both sides

left and right

  7y -34 = 5y

  2y = 34 . . . . . . . . add 34-5y to both sides

  y = 17 . . . . . . . divide by 2

_____

Additional comment

As a check on the integrity of the problem, we can see if these angles form linear pairs.

  8x+7 = 8·11+7 = 95

  5y = 5·17 = 85

  95 +85 = 180 . . . . . . angle values have the expected relationship

A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Answers

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

Which expression is equivalent to 4(-2c) - c

-6c

8c - 1

-9c

7c + 1
I'm not good at this stuff -_-

Answers

Answer:

none of those?

Step-by-step explanation:

4(-2c) = -8c

Answer:    -9c

Step-by-step explanation:

4(-2c) - c

= -8c - c

= -9c  

-9c is the answer

Find the length of the third side. If necessary,
round
to
the nearest tenth.
4
7

Answers

Answer:

The answer would be 8.1

Step-by-step explanation:

PLEASE HELP!!! DUE IN 10 MIN!!!

Answers

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.


Solve for the two variables in the following system of equations. 7x-8y=-12
--4x+2y=3

Answers

Answer:

x=0, y=3/2. (0, 3/2).

Step-by-step explanation:

7x-8y=-12

-4x+2y=3

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

7x-8y=-12

4(-4x+2y)=4(3)

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

7x-8y=-12

-16x+8y=12

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

-9x=0

x=0/-9

x=0

7(0)-8y=-12

0-8y=-12

8y=0-(-12)

8y=0+12

8y=12

y=12/8

simplify

y=3/2

Find tan x in the triangle pictured above

Answers

Answer:

Hi Marie, use the reminder

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Tan(x) = Opp / Adj

Tan(x) =32 / 24

X = arcTan(32/24)

X = 53.13°

A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches

Answers

Answer: D 120 square inches

HELP PLS!!
Write the inequality shown by the graph

Answers

Answer: y>-2/6+2

Step-by-step explanation:

We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2

Write the explicit formula for the
sequence below. Then, find the number
term in the sequence as listed.
140,130,120,110...

Answers

Answer:

[tex]a_n=-10n+150[/tex]

Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

where m is the slope

So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: [tex]a_n=-10n+150[/tex] instead.

m∠Q =
m∠R =
m∠S =

40 POINTS!!!!!!!

Answers

9514 1404 393

Answer:

  ∠Q = 89°

  ∠R = 123°

  ∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

  arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

  arc PQ = 360° -arc PS -arc QRS

  arc PQ = 360° -137° -114° = 109°

__

  ∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

  ∠Q = 89°

__

  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

  ∠R = 123°

__

  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

  ∠S = 91°

Please help I will give brainliest

Answers

Answer:

c.42

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

10+4= 14 so that is one side

14x3=42

So the answer is 42 so C

Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?

Answers

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

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