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tatyana61 [14]
2 years ago
6

A new soup recipe contains 3 3 % 33% less sodium per serving than the old soup recipe. The old soup recipe contained x x milligr

ams of sodium per serving. Which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe?
Mathematics
2 answers:
mina [271]2 years ago
8 0

Answer:

The new soup recipe would have 2/3x milligrams of sodium.

Step-by-step explanation:

We can find this by taking the amount in the old recipe (x) and subtracting the amount less the new one has (1/3x).

x - 1/3x = 2/3x

Sergio039 [100]2 years ago
4 0

Answer:

(1-33/100)x and 0.67x

Step-by-step explanation:

33% is 33 out of 100, or 33/100.  Since the new recipe has 33%, or 33/100, less sodium, this means we take x, the amount in the old soup, and subtract 33/100 from it:

1 - 33/100 would represent the percent of sodium remaining, and x is the original amount, giving us (1-33/100)x.

If we write this percent as a decimal, we get 0.33.  Taking this away from 100%, which is written in decimal form as 1, we get

1 - 0.33 = 0.67

Now we multiply this by the original amount of sodium, x:

0.67x

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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

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The function q(w)=3+5(w−1) represents the number of quarters in a bowl on week w.
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If a ball is thrown directly upward with a velocity of 50ft/s, it's height (in feet) after t seconds is given by y=50t-16t^2 wha
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Answer:

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Step-by-step explanation:

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To find the x coordinate of the vertex, use   x = -b/(2a)

We have x = -50/[2(-16)]

               

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Now plug that into the equation to find the y value, which will be the height...

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