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Anastaziya [24]
3 years ago
10

Marita orders 12 yards of material to make banners. If she needs 1 foot of fabric for each banner, how many banners can she make

?
Mathematics
1 answer:
Alik [6]3 years ago
7 0
Well 3 feet=1 yard
so the conversion factor is 3ft/1yd

so 12 yards converted to feet is
12yd times 3ft/1yd
the yd will cancel and you will be left with 36 feet

each banner is 1 foot so 36/1=36
she can make 36 banners
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Angle DEB is 42. State the size of angle ABD
Kay [80]

Answer:

The answer would be 80 ° because 5×( 2 + 13 or x +1 ) is 80

Step-by-step explanation:

ABD is 80°

If DEB is 42 °

∠ ABD = 5(2X+1)

∠ DBC = 3X+6

∠ EBC = Y +135/2

∠ ABD and ∠ DBC are linear pairs

∴ ∠ ABD +∠ DBC = 180

∴ 5(2X+1) + 3X+6 =180

solve for x

∴ x = 13

∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135

 ∠ DBC = 3x+6  = 3*13+6 = 45

∠ ABD  and ∠ EBC are vertical angles

∴ ∠ ABD = ∠ EBC = 135

∴ y +135/2 = 135

∴ y = 135/2

5 0
3 years ago
Simplify the expression. 10C7<br><br> A. 1<br><br> B. 3,628,800<br><br> C. 604,800<br><br> D. 120
Sophie [7]

Answer:

Combination

Step-by-step explanation:

Here by 10C7 we actually mean, C_{7}^{10}

And the formula for evaluating mCn is

=\frac{m!}{n!*(m-n)!}

Therefore

10C7 =  

=\frac{10!}{7!*(10-7)!} \\=\frac{10!}{7!*3!} \\

Where m! is called m factorial and can be evaluated as

m!= m*(m-1)*(m-2)*(m-3)*.......3*2*1

Hence

10!= 10*9*8......*3*2*1

7!= 7*8*6.....3*2*1

3!=3*2*1

With these we can evaluate

10C7

=\frac{10*9*8*7*.....3*2*1}{(3*2*1)*(7*6*5....3*2*1)}\\=\frac{10*9*8}{3*2*1} \\=\frac{10*3*4}{1} \\=120

Hence the answer is D

4 0
3 years ago
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trapecia [35]

Answer:

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Step-by-step explanation:

Sugar : Flour

2 : 6  (substitute the numbers of cups)

1 : 3    (simplify by reducing. divide both sides by 2)

The ratio is 1:3.

6 0
3 years ago
Read 2 more answers
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There is no LCM in this polynomial, unless it is -4x, which, in that case, the LCM would be x
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