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3 years ago

A board is 24 in. long. find all the whole number lengths into which it can be evenly divided.

Mathematics

2 answers:

MariettaO [177]3 years ago

8 0

2,4,6,8,12,24, and so on

polet [3.4K]3 years ago

7 0

2,4,6,8,12,24.........

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Four time a number r plus half a number s equals 12. Twice the number r plus one fourth of the numbers s equals 8. What are the

Snezhnost [94]

The system of equations have no solution.

Explanation:

The equations are $4r+\frac{1}{2}s=12$ and $2r+\frac{1}{4} s=8$

To find the two numbers, let us solve the equations using substitution method.

From the equation $2r+\frac{1}{4} s=8$ , let us determine the value of r,

$\begin{aligned} 2 r+\frac{1}{4} s &=8 \\ 2 r &=8-\frac{1}{4} s \\ r &=\frac{1}{2}\left(8-\frac{1}{4} s\right) \\ r &=4-\frac{1}{8} s \end{aligned}$

Let us substitute the value of r in $4r+\frac{1}{2}s=12$ , we get,

$\begin{aligned} 4\left(4-\frac{1}{8} s\right)+\frac{1}{2} s &=12 \\ 16-\frac{1}{2} s+\frac{1}{2} s &=12 \\ 16 &=12 \end{aligned}$

which is not possible.

This means that the system has no solution.

6 0

4 years ago

If A and B are two points having coordinates (- 2, 2) and (2,-4) respectively, find the coordinates of P such that AP= AB.

Karo-lina-s [1.5K]

Answer:

(0,1)

Step-by-step explanation:

The mid point of A(-2,2) and B(2,-4) is the coordinates of point P, which is (x,y)

Hence, the line AB = AP + PB.

At point AP: x = (-2+2)/2 = 0

also, point PB: y = (2 - 4)/2 = -1

Therefore, coordinates of point P = (0,-1)

7 0

3 years ago

PLEASE ANSWER CORRECTLY WILL GIVE 15 PTS! Solve each of the following inequalities.

Kitty [74]

Answer:

a. k > 7

b. a < -21

c. h > 9

d. f < 301

Step-by-step explanation:

a. 2k + 7 > 21

2k > 14

k > 7

b. a/3 + 12 < 5

a/3 < -7

a < -21

c. 6h − 5 > 49

6h > 54

h > 9

d. f/7 − 9 < 34

f/7 < 43

f < 301

Hope this helps!

5 0

3 years ago

Which group of numbers is listed from greatest to least

soldier1979 [14.2K]

D because you have to use absolute value to solve.

6 0

3 years ago

Evaluate 12 ÷ (-3)(2) + 5<br><br> -13<br> 3<br> -3

Alex_Xolod [135]

The answer is 3 because -3 times 2 is -6 , than 12 divided by -6 is -2 , than -2 plus 5 is 3 .

6 0

3 years ago