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BARSIC [14]
3 years ago
12

The output of a function is 5 more than -2 times the input. Write and solve an equation to find the input when the output is 11

Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0

Answer:

17 is x=6.

Step-by-step explanation:k

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Brianna and Chloe go to the movie theater and purchase refreshments for their friends.
steposvetlana [31]

Answer:

3 m + 4  n = $24.25

9 m +   n = $37.00  are the required set of equations.

The cost of 1 cold drink  = $3.75

The cost of 1 pop corn bag  = $3.25

Step-by-step explanation:

Let us assume the cost of 1 drink = $ m

And the cost of 1 bag of popcorn = $ n

Now, Brianna buys 3 drinks + 4 bag popcorn  for  $24.25

⇒ Cost of 3 drinks +  4 bag popcorn =  $ 24.25

or, 3 ( Cost of 1 drink) + 4 ( Cost of i bag popcorn)  = $ 24.25

⇒ 3 m + 4  n = $24.25  ...  (1)

Also, Chloe buys 9 drinks + 1 bag popcorn  for  $37.00

⇒ Cost of 9 drinks +  1 bag popcorn =  $37.00

or, 9 ( Cost of 1 drink) + 1 ( Cost of 1 bag popcorn)  = $37.00

⇒ 9 m +   n = $37.00 ...  (2)

Now, solving equation (1) and (2) ,we get:

3 m + 4  n = $24.25

9 m +   n = $37.00   ⇒ n  = 37 -  9 m

Substitute the value of n in the equation (1),we get:

3 m + 4  n = $24.25  ⇒ 3  m + 4 ( 37 - 9 m ) = 24.25

or, 3 m + 148 - 36 m = 24.25

or, -33 m = -123.75

or, m = 123.75/33 =  3.75, or m = 3.75

Now, n = 37 - 9 m = 37  - 9(3.75)  =  3.25, or n = 3.25

Hence the cost of 1 cold drink =  m = $3.75

And the cost of 1 pop corn bag  =  n  = $3.25

3 0
3 years ago
A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than male sheep?
laiz [17]
Considering the rest of the sheep are females, you just subtract 47 from 113.
6 0
3 years ago
What is the simplified value of the expression below?<br><br> Negative 2.6 + 5.8
Katen [24]
8.4 )::::: I think sorry
5 0
3 years ago
Read 2 more answers
A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator
JulsSmile [24]

Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:

\frac{37}{19}* \frac{3}{1}= 37!\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}= 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

\frac{40}{20}= \frac{40!}{20!(40-20!)}=137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

4 0
3 years ago
If we are given the value of α. How can we find the value of β?
Cloud [144]

Answer:

β = 140   - α

we know that the "missing" angle is 40° since 40 + 140 = 180

we also know that the total sum of angles in a triangle is 180

so  β = 180 - 40 - α

or β = 140   - α

Step-by-step explanation:

4 0
3 years ago
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