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larisa86 [58]
3 years ago
13

Rita bought some large packets of salt weighing 500grams each and some small packets of salt weighing 200 grams each. If she has

8 packets altogether and they weigh 2200 grams in total, how many of each kind does she have?
Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
L+S=8, L=8-S

500L+200S=2200, using L from above in this equation gives you:

500(8-S)+200S=2200

4000-500S+200S=2200

4000-300S=2200

-300S=-1800

S=6, and since L=8-S:

L=2

So Rita bought 2 large packets and 6 small packets.
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What is the inverse of the function??
Firlakuza [10]
\(\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}\)


To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:

- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).

- Swap x and f(x).

- The result is the inverse of the original function f^{-1}(x).

-------------------------

Apply that on your function
\(\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}\)




5 0
3 years ago
Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9?
Solnce55 [7]
The answer is graph B. Have a nice day!
6 0
3 years ago
Read 2 more answers
Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0
3 years ago
Look at the image and answer You ONLY GET POINTS FOR ANSWERING CORRECTLY ​
SSSSS [86.1K]

Answer:

the measure of xy is 9

5 0
3 years ago
Pls help I'll give brainliest!
natali 33 [55]

Answer:

95

Step-by-step explanation:

t_n =  {n}^{2}  - 5 \\  \therefore \: t_{10} =  {10}^{2}  - 5 \\ \therefore \: t_{10} = 100  - 5 \\ \huge \red{ \boxed{\therefore \: t_{10} = 95 }}\\

10th term of the sequence is 95.

3 0
3 years ago
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