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statuscvo [17]
3 years ago
8

Lucy’s chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Roun

d the answer to the nearest tenth
Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

The chocolate bar contains 29.2 grams of cocoa.

Step-by-step explanation:

Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.

Hence, the amount of cocoa in the chocolate bar is given by

54% of 54 grams

54% percentage means 54/100 = 0.54

Hence, the amount of cocoa in the chocolate bar is

0.54\times54\\=29.16

When rounded to the nearest tenth, 29.16 should be equal to 29.2

Hence, the chocolate bar contains 29.2 grams of cocoa.

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A triangle has two sides of length 1 and 2. What compound inequality describes the possible lengths for the third side, x?Write
klemol [59]

Step-by-step explanation:

since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be

side < 1 + 2 = 3

so,

side < 3

for a lower limit let's go through the cases

1 < 2 + side (is always true)

2 < 1 + side

1 < side (side must be larger than 1)

and again

side < 1 + 2 = 3

side < 3

so the full restriction for the third side is

1 < side < 3

7 0
2 years ago
A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. The length of the deck
leva [86]
Let the width be W, then the length is 4W (since the width is 1/4 the length)

The area of the original deck is W*4W=4W^{2}

The dimensions of the new deck are :

length = 4W+6
width=W+2

so the area of the new deck is :

(4W+6)(W+2)= 4W^{2}+8W+6W+12= 4W^{2}+14W+12

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:

4W^{2}+14W+12=68+4W^{2}

14W+12=68

14W=68-12=56

W= \frac{56}{14}= 4

the length is 4W=4*4=16    ft


Answer: width: 4, length: 16
3 0
3 years ago
What is the first step to finding the sum of 2/7 &amp; 1/4 without a calculator?
Illusion [34]

Answer:

first get a common denominator  by multiplying 7 and 4 to get  28

28 is our common denominator here.

Step-by-step explanation:

We want to add the fractions   2/7 and 1/4

(2/7) * (4/4)   and    (1/4) * (7/7)

(2/7) * (4/4)   +   (1/4) * (7/7) =  8/28  + 7/28 = 15/28

8 0
3 years ago
X+-4+2x=14<br> x=<br> Blank 1:
never [62]

Answer:

6

Step-by-step explanation:

3x-4=14

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3x=18

x=6

6 0
3 years ago
Read 2 more answers
If 2k - 3 = 9 (k+7)-3 then k is ????
m_a_m_a [10]

Answer:

k= -9

Step-by-step explanation:

2k-3=9k+63-3     [expand the 9(k+7) first]

2k-9k=63-3+3     [put the like terms together]

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k= 63 ÷ by -7

k=-9  

4 0
2 years ago
Read 2 more answers
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