admin

2 months ago

Guest #301

2 months ago

**Answer:**

Required equation

**Step-by-step explanation:**

**Given : **After the booster club sold 40 hot dogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80 hot dogs and had a total of $210 in profit.

**To find : **Which equation models the total profit,y,based on the number of hot dogs sold,x ?

**Solution :**

Let x = total number of hot dogs sold

y = total profit from total sales of hot dogs

**We can model the equation: ** ......[A]

**where, **y is the total profit and x is the number of hot dogs sold.

Profit for 40 hot dogs = $90 profit

**The system of equation form is **

......[1]

Profit for 80 hot dogs = $210 profit

** The system of equation form is **

.......[2]

**The solution of equations** [1] and [2]

**Subtract equation [1] and [2]**

**Substitute in equation [1]**

**Substitute the values in equation [A]**

**This is the required equation models the total profit based on number of hot dogs.**

Guest #302

2 months ago

The correct answer would be: y-90=3(x-40)

Question

Work out the area of a triangle of base 5cm and height 6 cm? Please been stuck on this for ages x

Solution 1

The area of triangle = 1/2 b h

where b = base and h =Â height

so b = 5 cm and h = 6 cm

Now you can find A = 1/2 (5)(6) = 1/2 (30) = 15

answer

A = 15 cm^2

hope that helps

where b = base and h =Â height

so b = 5 cm and h = 6 cm

Now you can find A = 1/2 (5)(6) = 1/2 (30) = 15

answer

A = 15 cm^2

hope that helps

Question

Find the work done by the force field f(x,y,z)=3xi+3yj+7kf(x,y,z)=3xi+3yj+7k on a particle that moves along the helix r(t)=3cos(t)i+3sin(t)j+3tk,0â‰¤tâ‰¤2Ï€

Solution 1

Call the path . Then the work done by along is given by the line integral,

Swapping the notation out for ordered component notation, I'll write

so that

The line integral reduces to

Swapping the notation out for ordered component notation, I'll write

so that

The line integral reduces to

Question

Round 0.246 to the nearest tenth

Solution 1

.2 is the correct answer to this question

Question

a shirt is slightly shop soiled so it is reduced by 30% it was Â£40.50 how much will it to be sold for?

Solution 1

It would be sold for 28.35

Question

Connor has Â£36 and Joshua has Â£48. What is the ratio of Connorâ€™s money to Joshuaâ€™s

Solution 1

Connor : Joshua = 36 : 48Â â‡’ (Ã·12)Â â‡’ 3 : 4

**Answer : 3 : 4**

Question

The ratio of the results of the local football team games won and lost is: 24:6 Simplify this ratio.

Solution 1

24 : 6Â â‡’ (Ã·6)Â â‡’ 4 : 1

**Answer:Â Â 4 :Â 1**

Question

Is the function y=5/x linear or non linear?

Solution 1

Y = 5/x is non linear.

â‡’ Power of x = -1

A function is linear when the power of x = 1

**Answer: non linear**

â‡’ Power of x = -1

A function is linear when the power of x = 1

Question

What is the slope of the line represented by the equation 2x+5y=15

Solution 1

2x + 5y = 15

Subtract 2x from both sides:

5y = -2x + 15

Divide both sides by 5:

y = -2/5 x + 3

Given that y = mx + b,Â where m is the slope.

â‡’ Slope = -2/5

**Answer: Slope = -2/5**

Subtract 2x from both sides:

5y = -2x + 15

Divide both sides by 5:

y = -2/5 x + 3

Given that y = mx + b,Â where m is the slope.

â‡’ Slope = -2/5

Question

Brett mare a scale drawing of a rectangular room in his house.The actual room is 12 4/5 ft.The scale used to make the drawing was 1/4 in=1ft. What is the length in inches of the room on the drawing?

Solution 1

1/4 in : 1 ft

1 ftÂ Â â‡’ 1/4 in

12 4/5 ftÂ â‡’ 1/4 x 12 4/5 =Â 1/4 x 64/5 = 3 1/5 in

**Answer: 3 1/5 in**

1 ftÂ Â â‡’ 1/4 in

12 4/5 ftÂ â‡’ 1/4 x 12 4/5 =Â 1/4 x 64/5 = 3 1/5 in

Question

Â£600 is put in a bank. after a year the money has increased by 8% how much is now in the bank

Solution 1

Increased = 8% x Â£600 = 0.08 x 600 = Â£48

Money in the bank now = Â£600 + Â£48 = Â£648

**Answer: Â£648**

Money in the bank now = Â£600 + Â£48 = Â£648

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