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SCORPION-xisa [38]
3 years ago
14

The Petrified Forest National Park in Arizona recently expanded their boundaries by 93,533 acres. The original acreage was 125,0

00. Write and solve a subtraction equation to find the new acreage of the park.
Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer: The new acreage of the park is 218,533.

Step-by-step explanation:

Since we have given that

Original acreage = 125,000

Expanded boundary by = 93,533 acres

We need to find the new acreage of the park.

so,we will use

New\ acreage=Original\ acreage+Expanded\\\\New\ acreage=125000+93533\\\\New\ acreage=218,533

Hence, The new acreage of the park is 218,533.

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Which graph represents the equation -5x+4y>-1?
galben [10]
<h3>Answer: Choice D</h3>

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Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\

This is false because -20 is not larger than -1. It's the other way around.

This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

6 0
3 years ago
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
nirvana33 [79]

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

  • We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

3 0
2 years ago
Using the formula for area of parallelograrn, find the area of the following parallelograr if
lianna [129]

Answer:

15

Step-by-step explanation:

the formula for area of a parallelogram is base times height

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2 years ago
What is the perimeter of the smaller triangle?
Luden [163]

Answer:

14 mm

Step-by-step explanation:

Just as the little side is 1/4 of the larger side , so is the perimeter

1/4 * 56 = 14 mm

6 0
2 years ago
Tony wants to purchase a baseball glove for $14.96, a baseball bat for $19.87, and a baseball for $5.37. He figured out that he
eimsori [14]

To solve this, first we calculate all the total cost of the items that is:

total cost = $14.96 + $19.87 + $5.37

total cost = $40.20

 

So we see that the actual cost is similar with the estimate so his calculation is reasonable.

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