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sergey [27]
3 years ago
11

Translate the word phrase into a math expression. 1 fewer than a number A. n – 1 B. 1 – n C. n + 1 D. 15 ÷ n

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0
1 fewer then a number : n - 1
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Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation
jarptica [38.1K]

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

So we have the formula

y=\frac{k}{x}

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}

Hence the answer is option C

7 0
1 year ago
A hockey team won 6 games and lost 8 what is the ratio of wins to number of games
suter [353]

Answer:

6:8

Step-by-step explanation:

you take the number of wins and put it against the number of losses. If it has to be percentage of games won you would do 6: 14 or number of games won compared to total number of games

6 0
3 years ago
Read 2 more answers
Kaylen earned $14.87 selling cookies and $7.76 selling
tatuchka [14]
Kaylen has $12.63 left.

$14.87 + $7.76 = $22.63
$22.63 - $10.00 = $12.63
4 0
3 years ago
Oliver read for 450 minutes this month. His goal to read for 10% more minutes next month. If Oliver meets his goal, how many min
sesenic [268]

Answer: 945

Step-by-step explanation:

this month = 450.

next month 450x10/100=45, 450+45= 495

450+495= 945

4 0
3 years ago
A+ bakery uses vanilla extract in the baking of their cookies. a small bottle of vanilla extract has 16 ounces in it. if each ba
yaroslaw [1]

Answer:

24 times

Step-by-step explanation:

Given : A small bottle of vanilla extract has 16 ounces in it.

To Find : if each batch of cookies baked requires 2/3 of an ounce of vanilla how many times can the bakery use the bottle before it is empty?

Solution :

No. of batch of cookies requires 2/3 ounce of vanilla = 1

No, of batch of cookies requires 1 ounce of vanilla  = \frac{1}{\frac{2}{3}}={\frac{3}{2}}

No. of batches require 16 ounces of vanilla = \frac{3}{2} * 16

                                                                        = 24

Thus,  bakery can use 24 times the bottle before it is empty.

8 0
3 years ago
Read 2 more answers
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