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Anna35 [415]
3 years ago
15

Ann increased the quantities of all the ingredients in a recipe by 60\%60%60, percent. She used 808080 grams (\text{g})(g)left p

arenthesis, start text, g, end text, right parenthesis of cheese. How much cheese did the recipe require?
Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

50 grams

Step-by-step explanation:

Let the amount of cheese required by the recipe be "x"

Ann increased 60% from original amount and then used up 80 grams. Thus:

<em>Original, increased by 60%, became 80</em>

<em />

This translated to algebraic equation would be:

x + 0.6x = 80

<u>Note:</u>  60% = 60/100 = 0.6

So we can solve the above equation for "x" and get our answer. Shown below:

x + 0.6x = 80\\1.6x=80\\x=\frac{80}{1.6}\\x=50

Hence,

the recipe required 50 grams of cheese

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877 to binary, octal, and hexadecimal
statuscvo [17]
Our number system is in base 10, which means that each digit has a value that is a multiple of 10.

For ex:
877 literally means
8  7  7   where each digit is multiplied by
10^ 2   10 ^1   10^0  respectively
which is 8 * 10^ 2 + 7 * 10^1 + 7 * 10^0 = 8 * 100 + 7 * 10 + 7 * 1 = 800 + 70 + 7 = 877

Binary is in base 2, so each of its digits (which can only be 0 or 1) are multiplied by multiples of 2 (2^0, 2^1, 2^2 ect.)

To find what 877 is in binary you can do the following:
the symbol : means divide and i'll write the quotient + the remainder

877 : 2 = 438 + 1  (438 is the quotient, 1 is the remainder)
438 : 2 = 219 + 0
219 : 2 = 109 + 1
109 : 2 = 54 + 1
54 : 2 = 27 + 0
27 : 2 = 13 + 1
13 : 2 = 6 + 1
6 : 2 = 3 + 0
3 : 2 = 1 + 1
1: 2 = 0 + 1

now write ALL off the remainders from BOTTOM to TOP:
1101101101

use a similar step for octal (use 8 instead of 2 as the divisor) and hexidecimal (use 16 instead of 2 as the divisor) 


6 0
3 years ago
Fraccion equivalente 84/100??​
olganol [36]

Answer:

42/50, 21/25

Step-by-step explanation:

84/100=42/50=21/25

4 0
3 years ago
Read 2 more answers
If cos theta = -3/5 in quadrant 2, what is sin theta?
mote1985 [20]

Answer:

hello : sin(θ) = 4/25

Step-by-step explanation:

you know : cos²(θ) + sin²(θ) =1   and : cos(θ) = - 3/5

(-3/5)² + sin²(θ) =1

9/25 + sin²(θ) =1

sin²(θ) =1 -9/25

sin²(θ) = 16/25

sin(θ) = 4/25 or sin(θ) = - 4/25

in quadrant 2 :  sin(θ) > 0

so : sin(θ) = 4/25

3 0
4 years ago
Read 2 more answers
Identify the slope and y-intercept of the line y = ×/2 -7​
arlik [135]

Answer:

Slope: -\frac{1}{5}   Y-intercept: (0,0)

Step-by-step explanation:

By putting this into a graph you can see that the y-intercept is (0,0). Also, by looking at the chart and using the walk, rise rule you can see that the slope is -\frac{1}{5}.

7 0
1 year ago
In February, Alec had 1,525 visitors to his website. In March, he had 1,385 visitors to his website. What is the percentage decr
Helga [31]
A proportion box can be used to solve this problem. First, we need to compute the difference or change in the original amount of visitors Alec had (in February) and the new amount of visitors (in March). 

1,525 - 1, 385 = 140

We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box. 

(The attached image will show an example of how to set this up). 

Our last step is to cross multiply and divide. 

140 x 100 = 14,000

14,000 ÷ 1,525 = 9.18

So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%. 

5 0
3 years ago
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