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3 years ago

Ian uses 4 feet of ribbon to wrap each package. How many packages can he wrap with 5.5 yards of ribbon?

1 answer:

4 0

First you want to turn yard into feet so 5.5 times 3 which makes 16.5 then divide by 4 and you get 4.125 but you can't do that so it would be 4 packages

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help 112. if k is a positive integer, then for every value of k, the sum of the k smallest distinct odd positive integers is equ

Ksenya-84 [330]

Hello,

$\sum_{i=0}^{k-1}\ (2*i+1)=2*\sum_{i=0}^{k-1}\ i +\sum_{i=0}^{k-1}\ 1\\

= \dfrac{k*(k-1)}{2} +k=k^2-k+k=k^2$

In details:

s= 1    +3 +5+7+9+.... +2(k-2)+1 +2(k-1)+1
s= 2(k-1)+1 +2(k-2)+1 +.... +9+7+5 +3    +1
2s=(2k-2+2) +(2k-4+4)+...........................................+(2k-2+2)
   =2k+2k+2k+....+2k (there is k terms)

2s=2k*k
2s=2k²
s=k²

Answer J

7 0

3 years ago

What’s is 6 times 3/8

Oxana [17]

Answer:

9/4

Step-by-step explanation:

You multiply 3/8 by 6.

6 0

4 years ago

Read 2 more answers

I forgot to attach the photo before.... please help

SVEN [57.7K]

Part (i)

I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.

The equation we're working with is updated to:

H(t) = 22 + a*2^(bt)

Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.

So,

H(t) = 22 + a*2^(bt)

86 = 22 + a*2^(b*0)

86 = 22 + a*2^0

86 = 22 + a*1

86 = 22 + a

a+22 = 86

a = 86-22

a = 64

<h3>Answer: 64</h3>

=====================================================

Part (ii)

We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).

H(t) = 22 + a*2^(bt)

28 = 22 + 64*2^(b*0.5)

28-22 = 64*2^(0.5b)

64*2^(0.5b) = 6

2^6*2^(0.5b) = 6

2^(6+0.5b) = 6

log( 2^(6+0.5b) ) = log(6)

(6+0.5b)*log(2) = log(6)

6+0.5b = log(6)/log(2)

6+0.5b = 2.5849625

0.5b = 2.5849625-6

0.5b = -3.4150375

b = -3.4150375/(0.5)

b = -6.830075

<h3>Answer: Approximately -6.830075</h3>

7 0

3 years ago

Sara says "If you subtract 11 from my number and multiply the difference by -3 , the result is -54 ." What is Sara's number?

KiRa [710]

Statement given :

→Sara says "If you subtract 11 from my number and multiply the difference by -3 , the result is -54 .

To find :

Sara's number

SOLUTION :

Let us take Sara's Number be “x”.

★According to Question,

→ x - 11×(-3)= -54

→ x + 33 = -54

→ x = -54-33

→ x = (-87)

let's verify our number,and check whether it's correct or not !

x - 11×(-3)= -54

Putting the value of x

(-87) - 11 × (-3)= -54

(-87) + 33 = -54

(-54) = -54

Hence, The L.H.S. = R.H.S.

Thus,our number is Verified.

6 0

3 years ago

An amount of $40,000 is borrowed for 11 years at 7 5% interest compounded annually. If the loan is paid in full at the end of th

valina [46]

Amount to be paid back = $ 88,624.36

Step-by-step explanation:

Principal amount = $ 40,000

Rate of interest = 7.5%

Number of years = 11

$A=P\left(1+\frac{r}{n}\right)^{n t}$

Plugin the values as,

$A=40000\left(1+\frac{7.5}{100}\right)^{11}$

$A=40000(1+0.075)^{11}$

$A=40000(1.075)^{11}$

$A=\$ 88,624.36$

6 0

3 years ago