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]​

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

[tex]\\[/tex]

Intercept form of straight line:

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,

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.

The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?

Help out thankssssssssss !!!!!!

What is the circumference of the circle?

Consider triangles CBD and BDE and answer the questions that follows
2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?​

Solve the equation by completing the square.
a2 - 14a - 32 = 0

This month Joe spent 1/2 of his salary on food and 1/3 on rent. What part of his salary did he spend? Simplify the fraction if possible.

please help :) thanks !

If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?


A.
40 cubic in
B.
168 cubic in
C.
84 cubic in
D.
144 cubic in

Stephanie accidentally hit a golf ball through her neighbor's square window with a side length of x she needs to buy a new piece of glass to replace the one she broke write a variable expression for the area of the glass piece Stephanie needs to replace remember x is your variable​

Molly and Melissa swam laps during practice.
• Together they swam 25 laps.
Melissa swam 5 more than 3 times as much as Molly.

Write an equation for this situation. Use a variable to represent the number of laps for Molly


How many laps did Molly swim?

What triangle is formed by the points (3,2 ) , 4, 7 and 5,6 ?

What is m∠1?

There is a horizontal line. Point B and D are lies on the line. There is one point C which is joined with point B and D to form a triangle CBD. The angle BCD is 70 degree. The angle CBD is denoted by 2. The supplementary angle of 2 is denoted by angle 1 which is line formed with segment BC. The line formed obtuse angle with CD is 130 degree.

A. 130°
B. 70°
C. 60°
D. 120°

A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times
and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?

Emma is driving at a constant speed. She drives 4 miles in 5 minutes. If she continues to drive at the same speed, how many miles will she drive in 15 minutes? Use a proportion to solve.
A:3 miles B:12 miles C:20miles D:60miles

This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.

HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?



Enter your answer in the box.

5. Trenton is going to close and wrap the box
shown in wrapping paper. How many square
inches of wrapping paper will he need?

George worked on his science project for 5/12 hours on monday and 3/4 hour on tuesday. How much longer on tuesday did georege than on monday

Whoever helps me will save my life

can anyone help me with #1?

X=5 and y=7 for algebraic expression 2(4x-3) + 6(3y-5)

-10=-8+6(w-5) simplify your answer as much as possible

Help
Me ? I’m marking brainlist

the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence

WILL MARK BRAINLIEST!! Just help me out with number 2 please. :)

Here is an inequality: -2x > 10.
1. List some values for x that would make this inequality true.
Answer: Any negative number above -5, like -6, -7, etc.

2. How are the solutions to the inequality -2x ≥ 10 different from the solutions to
-2x > 10? Explain your reasoning.

ez one cus im lazy so give it a shot and 1st right = brainle

If an object with a volume of 400 is dilated by 1/2, what is the new volume?

Emma noticed that the new admission fee for the zoo is 50% more than last year's fee. She wrote this expression to represent the new admission fee, where f represents last year's fee. f + (0.50 x f) Which of the following expressions shows another way Emma could have represented the new admission fee? A 1.5f B) 150f C) f+1.5 D) f+ 150 ​

Need help on this question

I have to do a math test what is 8 + (7 + 1) 2 ÷ 4 ⋅