MATHEMATICS HIGH SCHOOL

The Martins plan for a garden is shown in the diagram. They need to figure out how much they will spend on topsoil for the garden. What is the area of the garden? The area of the garden is ft2. If topsoil costs $0.15 per square foot, how much will they spend to cover the area with topsoil? They will spend $.

Answers

Answer 1

Answer:

answer 1 is : 144

Answer2:21.60

Answer 2

Answer:

Answer:

144 and 21.60

Step-by-step explanation:

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Indicate the relationship between the line: 2x - 5y = 10 , and the line: 10x + 4y = 20Which of the 3 is correct

Parallel
Perpendicular
They intersect at an angle other than 90 degrees

Answers

Answer:

Perpendicular

Step-by-step explanation:

Here, we want to know the relationship between the two lines .

The easiest way to go about this is to get their slopes;

Mathematically, the equation of a straight line can be expressed in the form;

y = mx + c

where m is the slope;

Hence;

2x -5y = 10

Isolating the y part

5y = 2x -10

divide through by 5

y = 2/5x - 2

So the slope here is 2/5

for the second line

10x + 4y = 20

Divide by 2 all through

5x + 2y = 10

Isolate y

2y = 10-5x

Divide by 2 again

y = 5 -5/2x

The slope here is -5/2

What do we notice? we can see that if we multiply the two slopes by each other, we get -1

That is;

2/5 * -5/2 = -1

What this means is that both lines are perpendicular.

This is because the slopes of perpendicular lines, when multiplied by each other = -1

Final answer:

The two given lines, 2x - 5y = 10 and 10x + 4y = 20, intersect at an angle other than 90 degrees. We determined this by finding the slope of each line and seeing that they are neither equal (for parallel lines) nor negative reciprocals (for perpendicular lines).

Explanation:

To determine the relationship between the lines 2x - 5y = 10 and 10x + 4y = 20, we need to analyze their slopes. Both equations can be rewritten in slope-intercept form (y = mx + b) to determine their slopes. The first equation becomes y = (2/5)x - 2, and the second equation becomes y = (-10/4)x + 5.

The slopes of the two lines are m1 = 2/5 and m2 = -10/4. Since the slopes are different, the lines are not parallel. To determine if they are perpendicular, we need to check if their slopes are negative reciprocals.

The product of the slopes is (2/5)(-10/4) = -4/5. Since the product is not -1, the lines are not perpendicular. Therefore, the correct relationship is that the lines intersect at an angle other than 90 degrees.

Learn more about Relationship between two lines here:

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Angie read 3 books in 4 days, and each book contained 320 pages. If Angie read the same number of pages each day, how many pages did she read per day?

Answers

3*320=960 960/4=240 Angie read 240 pages everyday.

Tom predicted that the Giants would score three 3-point field goals, score two 6-point touchdowns, and score 1 extra point. If Tom were correct, what would the Giants' score be at the end of the game?

Answers

3*3 = 9

2*6 = 12

1*1 = 1

9+12+1 = 22

The Giants would score 22 points if Tom is correct

I'm showing you how to solve it and the answer.

three 3-point field goals = 3×3= 9
two 6-point touchdowns = 2×6=12
score of 1 extra point=1

Now add all the answers together...
9+12+1=22

HOPE THIS HELPED :)

How many solutions does the following equation have (6x +12) =-18

Answers

( 6 x + 12 ) = -18

6 x + 12 = - 18

6 x = - 18 - 12

6 x = - 30

x = - 30 / 6

x = -5

only 1 solution

hope this helps!

There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold?