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velikii [3]
3 years ago
15

Solve x – 7 > –8.

Mathematics
1 answer:
IgorC [24]3 years ago
8 0
Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.


Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = \sqrt{Area}

For Tile A, the length will be:

Length= \sqrt{9}=3  
So length is a Rational number

For Tile B, the length will be:

Length= \sqrt{25}=5  
So length is a Rational number

For Tile C, the length will be:

Length= \sqrt{34}  
So, Length is not Rational.

For Tile D, the length will be:

Length= \sqrt{76}  
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option  
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For each situation below, write the equation of the line and explain how you can tell.
sveticcg [70]

Answer:

see below

Step-by-step explanation:

a. Has a slope of 2 and passes through (10,17)

Using the slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation

17 = 2(10)+b

17 = 20+b

Subtract 20 from each side

17-20 =b

-3 =b

y = 2x-3

b. passes through (1,-4) and (2,-5)

First find the slope

m= (y2-y1)/(x2-x1)

   = (-5- -4)/(2-1)

  = (-5+4)/(2-1)

  = -1/1

  = -1

Using the slope intercept form

y = -x+b

Substitute a point into the equation

-4 = -1(1) +b

-4 = -1+b

Add 1 to each side

-3 = b

y = -x+3

   

6 0
3 years ago
Ryobi Limited sold a set of saws to Ace Hardware. The list price was $3,800. Ryobi offered a chain discount of 8/3/1. What's the
laila [671]

Answer:  Option 'B' is correct.

Our net price will be $3357.21.

Explanation:

Since we have given that

The list price of set of saws = $3800

There are 3 successive discounts :

8%,3%,1%

So, if we apply first for 8% discount our new price becomes,

3800\times \frac{100-8}{100}=3800\times 0.92=\$3496

Now, if we apply 3% on our deducted price , our new price becomes ,

3496\times \frac{100-3}{100}=3496\times 0.97=\$3391.12

Now, we'll apply for 1% on our new deducted price , our net price becomes,

3391.12\times \frac{100-1}{100}=3391.12\times 0.99=\$3357.21

Hence, our net price will be $3357.21.

Therefore, Option 'B' is correct.


6 0
3 years ago
Find each angle measure.
myrzilka [38]

Answer:

Step-by-step explanation:

1)140

2)70

8 0
3 years ago
Read 2 more answers
The city of Atlanta plans to hold a parade after the Atlanta Falcons win the Super Bowl. They intend to allow fans to watch from
erastovalidia [21]

Answer:

17600 people.

Step-by-step explanation:

Given that The parade route will be 1 mile long (5,280 feet are in a mile) and the sidewalks are 10 feet deep.

The area of the parade route will be

5280 × 10 = 52800 ft^2

If the average person takes up 3 square feet of space, then, divide the area by 3. That is,

52800 / 3 = 17600 people.

Therefore, the estimate for the number of people who can attend the parade will be 17600 people.

7 0
3 years ago
What is the equation of a line, in point-slope form, that passes through (-4, -1) and has a slope of (5, 7)
bearhunter [10]

It is y+1=0.9(x+4) because the formula is y - y1=m(x + x1) you only need one point and the slope. If you have two points, you need to find the slope by using the slope formula slope=y2-y1/x2-x1. Filling it in it would look like slope=7-(-1)/5-(-4). The double negatives cancel each other out and it turns to addition signs leaving us with slope=7+1/5+4 so the slope is 8/9 or 0.9. Now you can fill out the point-slope formula y+1=0.9(x+4)

8 0
3 years ago
Read 2 more answers
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