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Mandarinka [93]
1 year ago
8

If m and n can be any integers such that n<4 and 4m - 3n < 20, which of following is the solution set for m?A m <7.25B

m 50C. m < 8D. m 2 7.25m 20
Mathematics
1 answer:
soldier1979 [14.2K]1 year ago
3 0

If we multiply the inequality n<4 by 3 we get the following:

(n

Now, on the next inequality we have the following:

\begin{gathered} 4m-3n

By transitive property, we have:

\begin{gathered} 3n

therefore, the solution set for m is m<8

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X-4y =-6 ( ,2) (-2, )
marin [14]

Answer:5x-20y=12

Step-by-step explanation:

5 0
3 years ago
How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 stude
Marina86 [1]

Answer:

6108795

Step-by-step explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795

3 0
2 years ago
A sqware has an area of 49 sqware feet. A rectangle has an area of 24 sqware feet its lanth is 2 feet longer than its width witc
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

If the square has an area of 49 ft^2, then the length of one of its sides is

s = √(49 ft^2) = 7 ft, and its perimeter is P = 4(7 ft) = 28 ft.

As for the rectangle:  let W and L represent the width and length, respectively.  Then W*L = 24 ft^2 is the area.  L = W + 2 ft.  Therefore,

W(W + 2) = 24, or W^2 + 2W - 24 = 0, or (W +6)(W - 4) = 0.  Thus, W = 4 ft.

The perimeter of this rectangle is P = 2W + 2L, or

P = 2(4 ft) + 2(6 ft) = 24 ft.

The square has the larger perimeter:  It is 28 ft.

8 0
3 years ago
The pair of variables x=5, y=7 is the solution to the equation ax–2y=1. Find the coefficient a.
Wewaii [24]

Answer:

a=3

Step-by-step explanation:

This should be very simple, just substitute xy and y for 5 and 7 respectively, so 5a-2*7=1, or 5a-14=1, or 5a=15, if we divide both sides by 5, we get a=3

5 0
3 years ago
Read 2 more answers
Unit 7:Polygons &amp; Quadrilaterals Homework 4: Rhombi and squares​
iogann1982 [59]

Based on the quadrilateral given, the values of the missing measures will be:

  • VU = 15
  • SU = 21.21
  • TV = 21.21
  • SW = 10.61

<h3>Solving quadrilateral.</h3>

A quadrilateral simply means a polygon that has four sides, edges and vertices.

Based on the information given, SU = TV and this will be:

= ✓450 = 21.21

SW = 21.21/2 = 10.61

Also, for the second shape, the values will be:

OM = 46; PN = 23, ON = 46; MN = 46.

Learn more about quadrilateral on:

brainly.com/question/224113

4 0
2 years ago
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