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Goshia [24]
3 years ago
11

formula">

Have a happy holiday!
Mathematics
2 answers:
AnnyKZ [126]3 years ago
4 0

Answer: X=11

thank you!!! happy holidays!! :}

dybincka [34]3 years ago
3 0

Answer:  x=11

Step-by-step explanation:  3x+42=75

Step 1: Subtract 42 from both sides.

3x+42−42=75−42

3x=33

Step 2: Divide both sides by 3.

3x

3

=

33

3

x=11

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bezimeni [28]

Answer: C

Step-by-step explanation:

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6 0
3 years ago
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Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 60 quarts of 4% butterfat milk.
Snezhnost [94]

Answer:

20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

Step-by-step explanation:

We are given the following in the question:

Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.

Thus, we can write the equation:

6\%\times x + 3\%\times y = 4\%\times 60\\6x + 3y = 240

Total amount of 3% butterfat milk = 60

Thus, we can write the equation:

x+y = 60

Solving the two equation, we get,

6x + 3y-(3x+3y) = 240 - 3(60)\\3x = 240-180\\3x = 60\\x = 20\\y = 60-20 = 40

Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

3 0
3 years ago
Suppose that you are taking a T/F exam and you have no idea at all about the answers to the last three questions. You choose ans
podryga [215]

Answer:

0.375, 0.125, 0.5

Step-by-step explanation:

given that you are taking a T/F exam and you have no idea at all about the answers to the last three questions.

Probability for correct guess = 0.5 remains constant for each of the three questions

X - no of questions is binomial with n =3 and p = 0.5

1) the probability that you guessed right on exactly one of the three questions

= P(X=1)

= 3C1(0.5)^3 = 0.375

2) the probability that you guessed right on zero of the three questions

= P(X=0)\\= 0.5^3=0.125

3) the probability that you guessed right on at least two of the questions

=P(x=3)+P(2)\\= 1-0.5\\=0.5

7 0
3 years ago
A geometric sequence has u4= -70 and u7=8.75<br> Find the second term of the sequence.
Kobotan [32]

Answer:

-122.5

Step-by-step explanation:

Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75

1 term → 78.75/3 = 26.25

therefore, u2 = - 70 - 2(26.25) = -122.5

Topic: Patterns + Common difference

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

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2 years ago
Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the
MrRissso [65]

The answers will be:

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<h3>What is Slope and curve?</h3>

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

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7 0
2 years ago
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