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3 years ago

If x < 5 and x >c, give a value of c such that there

Mathematics

1 answer:

Ierofanga [76]3 years ago

3 0

Answer:

c = 6

Step-by-step explanation:

The compound inequality is c < x < 5

If we want a value of c such that there are no solutions, we need to make that inequality false.

From the inequality we can see that 5 must be greater than c to be true.

Therefore, we need to choose a value smaller or equal than 5.

For example, c=6.

If c = 6, that means that x is greater than 6 and smaller than 5. That's impossible, there is no number that meets that.

Therefore, our compound inequality 6 < x < 5 has no solutions.

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Ivan draws PQR on the coordinate plane.

Ivahew [28]

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

8 0

3 years ago

Help me with inequality

Hoochie [10]

Answer:

C. x > 3

Step-by-step explanation:

As long as you don't multiply or divide by any negative numbers*, <em>you can solve this the same way you would an equation</em>.

3x +2 > x +8

3x > x +6 . . . . . . subtract 2

2x > 6 . . . . . . . . subtract x

x > 3 . . . . . . . . . .divide by 2; matches choice C

_____

* The complete rule is "as long as you don't use any order-changing operations, ...". There are some functions you can apply to both sides of the inequality that will change the ordering. Multiplication or division by a negative number is only one of many.

1 < 2

-1 > -2 . . . . . multiplication by -1 reverses the order

6 0

3 years ago

Read 2 more answers

A) What fraction of a day is 8 hours?

Scrat [10]

Answer:

a. 8/24 or 1/3 a day

b. 45/60 or 3/4 a hour

c. 1/7 of a week

d. 4/12 or 1/3 a year

Step-by-step explanation:

Simply divide by the conversion you want to set.

60 seconds is 1 hour

24 hours is 1 day

7 days is 1 week

3-4 weeks per month (depending on the month and year)

12 months a year

3 0

3 years ago

Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh

Sergio039 [100]

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is $3\times 21=63$ inches.

Now we need to convert 63 inches into feet.

12 inches = 1 feet

63 inches = $\frac{63}{12}$ feet = 5.25 feet.

We are also told that Maria has $\frac{3}{4}$ foot of trim left, so total length of trim would be trim used plus trim left that is $5.25+\frac{3}{4}=5.25+0.75=6$ feet.