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2 years ago

Which graph shows the lowest cost per square foot for a new home?

Mathematics

2 answers:

musickatia [10]2 years ago

8 0

<h2>Answer with explanation:</h2>

The graph that has the lowest cost per square foot for a new home is the graph which has the lowest slope.

Hence, we will calculate the slope in each of the graph.

As each of the graph passes through (0,0) and some point (a,b)

Hence, the slope is:

$\dfrac{b-0}{a-0}=\dfrac{b}{a}$

By looking at the figure attached to the answer we could see that the last graph has the smallest slope.

aliina [53]2 years ago

3 0

We are given following coordinates in given graphs (1000,12000), (1500, 16000), (500 , 8000) , (2000, 18000).

Let us discribe each given coordinate and cost per square foot area for each coordinate (in each graph).

1st (1000,12000) : represnts 1000 square foot area cost $12000.

Cost per square feet = 12000/1000 = $12.

2nd (1500, 16000) : represnts 1500 square foot area cost $16000.

Cost per square feet = 16000/1500 = $10.67.

3rd (500 , 8000) : represnts 500 square foot area cost $8000.

Cost per square feet = 8000/500 = $16.

4th (2000, 18000) : represnts 2000 square foot area cost $18000.

Cost per square feet = 18000/2000 = $6.

Therefore, 4th graph with (2000, 18000) coordinate shows the lowest cost that is $6 per square foot for a new home.

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The diagram shows some land in the shape of a quadrilateral ABCD. AB = 6 km, AD = 5 km and CD = 12 km Angle BAC = 30 The land is

Goshia [24]

Answer:

£495 million

Step-by-step explanation:

To find out the total cost of the land, we need to first calculate the area of the land.

Step 1: Find area of right angled triangle ADC

AD = 5 km,

DC = 12 km

Area of the right triangle = ½*a*b

a = 5km

b = 12km

Area = ½*5*12

= 5*6

Area of ADC = 30 km²

Step 2: Find the area of triangle ABC

First, let's find the length of AC using Pythagorean theorem

AC² = AD² + DC²

AC² = 5² + 12² = 25 + 144

AC = √169

AC = 13km

Area of ∆ABC = ½*AB*AC*sin(30°)

= ½*6*13*0.5

= 3*13*0.5

Area of ∆ABC = 19.5 km²

Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²

Step 3: calculate how much the land costs

If the land costs £10 million per km²,

Cost of 49.5 km² = 49.5 × 10 = £495 million

4 0

2 years ago

Liz works as a lifeguard at her community pool and at the beach on Saturday she worked at the pool for 6 hours and earned $46.50

zmey [24]

Answer:DK

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and common nails cost $0.60 p

mojhsa [17]

Question:

A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and common nails cost $0.60 per pound. He would like to purchase at least 30 pounds of nails total. Write a system of linear inequalities

Answer:

The system of linear inequalities are:

$x + y\geq 30\\\\0.45x+0.60y\leq 42$

Solution:

Let "x" be the pounds of finishing nails

Let "y" be the pounds of common nails

Given that,

He would like to purchase at least 30 pounds of nails total.

"at least" means that he can purchase 30 pounds or more than 30 pounds also

So, we have to use "greater than or equal to" symbol

$x + y\geq 30$

From given,

Cost of 1 pound of finishing nail = $ 0.45

Cost of 1 pound of common nail = $ 0.60

A contractor has at most $42 to spend on nails for a project

"at most" means he can spend 42 or less than 42

So we have to use " less than or equal to" symbol

Thus we frame a inequality as:

$x \times 0.45 + y \times 0.60\leq 42\\\\0.45x + 0.60y\leq 42$

Thus the system of inequalities are:

$x + y\geq 30\\\\0.45x+0.60y\leq 42$

4 0

2 years ago

Robin was just hired at Groceries & More as a cashier. She is paid $9 an hour. She works 30 hours a week and is going to sav

Tpy6a [65]

Answer:

5 weeks

Step-by-step explanation:

$ 9 an hr for 30 hrs.....(9 * 30) = $270

they deduct $ 27 from her weekly check

so she clears (270 - 27) = $ 243 per week

she wants to get to $ 1200...

1200 / 243 = 4.94 weeks......we are gonna have to round up to 5 weeks because 4 weeks is just a little short.

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2 years ago

Papessa [141]

Answer: can you explain what you mean because its just numbers

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2 years ago