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dimulka [17.4K]
3 years ago
13

Count the possible combinations of 4 letters chosen from D, E, F, G, H.

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0
You would use the formula nCr

n= 5 which is the number of letters available which are D E F G H

r= 4 sample of letters

you can easily plug into the calculator... or work with the formula!

5C4 = 5


so there are 5 combinations

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A 1313​-foot piece of string is cut into two pieces so that the longer piece is 44 feetfeet longer than twice the shorter piece.
Kitty [74]

Answer:

423

Step-by-step explanation:

Start by setting up a formula.

x = the shorter piece

total = 1313

longer piece = (x*2) + 44

x + (x*2) + 44 = 1313

Simplify

3x + 44 = 1313

Now we must solve for x.

Whatever you do on the left side of the equal sign must also be done on the right.

The goal is to get x by itself on the left side.

Do the easiest thing first, which is usually addition or subtraction. In this case, subtract 44 from both sides.

3x + 44 - 44 = 1313 - 44

3x = 1269

Now the only way to cancel out the 3 on the left is to divide by 3. Since 3/3 =1. Remember this must be done on both sides to keep things equal.

3x/3 = 1269/3

x=423

The End

8 0
3 years ago
E varies directly with the square root of C. If E=40 when C=25 find: E when C= 49
tiny-mole [99]

Answer: E = 56

Step-by-step explanation:

E is proportional to √C

To remove proportionality, introduce a constant (k).

E = k × √C

From question,

E = 40 and C = 25

So,

40 = k ×√25

40 = k × 5

k = 8

Now,

C = 49

k = 8

E = ?

E = k√C

E = 8 × √49

E = 8 × 7

E = 56

6 0
3 years ago
Read 2 more answers
The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co
Ulleksa [173]

Answer:

168.24784 m²

Step-by-step explanation:

Area of the square:

28 x 28=784 sq. m.

Area of the circle:

π(r²)=π(14)²=196π

    =615.75216

Area not covered by the sprinkler:

784-615.75216=168.24784 m²

6 0
3 years ago
Read 2 more answers
Write an expression with parenthesis to represent the quantity: 170 divided by the sum of 25 and 9
zavuch27 [327]
Using parenthesis, we want to add 25 and 9 first before dividing.

170/ (25+9)
3 0
3 years ago
Guys pls help me!!!!!!!
Maurinko [17]

Answer:

165°

Step-by-step explanation:

x+15=180

4 0
2 years ago
Read 2 more answers
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