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Brut [27]
2 years ago
12

Three fifths of a number y is negative 9. What is the number?

Mathematics
2 answers:
Maru [420]2 years ago
7 0

Answer:

The answer is y=-15

Step-by-step explanation:

In order to determine the number, we have to express the problem into an equation. Every time that we want to know a value of a variable, we have to express an equation that it contains the variable.

Let's express every part of the statement:

Three fifths=\frac{3}{5}

A number= y

negative 9= -9

Putting together every part into an equation:

\frac{3}{5}y=-9\\y=\frac{5}{3}*(-9)\\y=5*(-3)\\y=-15

Finally, the value of the number "y" is -15.

klio [65]2 years ago
3 0
\frac{3}{5}y=-9 \ |*5 \\\\ 3y=-45 \ |:3\\\\ y=-15
or
\frac{3}{5}y=-9 \\\\ 0,6y=-9 \ |*10\\\\ 6y=-90 \ |:6\\\\ y=-15
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Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is class
Tresset [83]

Answer:

Step-by-step explanation:

Hello!

Three samples of components manufactured are taken per day. They are classified as:

D: "Conforming (suitable for its use)"

E: "Downgraded (unsuitable for the intended purpose but usable for another purpose)"

F: "Scrap (not usable)"

This classification includes the three events that may occur in your sample space S. The experiment consists in recording the categories of the three parts tested in a day.

a. List the 27 outcomes in the sample space.

The possible outcomes in the space sample are the combinations of the three events. To avoid using the same letters as in the following questions I've named the evets as D, E, and F

S={DDD, DED, DFD, DEF, DFE, DEE, DFF, DDE, DDF , EDE, EEE, EFE, EED, EEF, EDF, EFD, EDD, EFF , FDF, FEF, FFF, FFE, FFD, FDE, FED, FDD, FEE}

b. Let A be the event that all the parts fall into the same category. List the outcomes in A.

A: "All the parts fall into the same category"

You have three possible outcomes for this event, that the three compounds are conforming, "DDD", that the three are unconforming, "EEE", or that the three compounds are scrap, "FFF". There are only three possible outcomes for this event.

S={DDD, EEE, FFF}

c. Let B be the event that there is one part in each category. List the outcomes in B.

B: "There is a part in each category"

This means, for example, The first one is conforming "D", the second one is unconforming "E" and the third one is scrap "F", then the first one may be unconforming "E", the second one is conforming "D" and the thirds one is scrap "F", and so on, you have 6 possible outcomes for this event:

S={DEF, DFE, EDF, EFD, FDE, FED}

d. Let C be the event that at least two parts are conforming. List the outcomes in C.

C: "At least two parts are conforming"

For this event, you can have two of the compounds to be considered conforming or the three of them.

S={DDD, DED, DFD, DDE, DDF , EDD, FDD}

A total of 7 combinations fit this event.

I hope you have a SUPER day!

6 0
2 years ago
Evaluate 3^-1 times (4 times 6) times 2^-3
Sergio [31]

3^-1 * (4 *6) * 2^-3

1/3 * (24) * 1/8

1/24 * 24

1

Answer : 1

4 0
3 years ago
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Which net represents the pyramid below
erica [24]

Answer:

Step-by-step explanation:

its D

5 0
3 years ago
36 is 75% of what number
g100num [7]
Learn this and it can answer all ur percent problems
percent formula : is/of = %/100

36 is 75% of what number...
is = 36
% = 75
of = x.....because that is what u are looking for.
now sub into the percent formula

is/of = %/100
36/x = 75/100
cross multiply because this is a proportion
75x = 36(100)
75x = 3600
x = 3600/75
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so 36 is 75% of 48
3 0
3 years ago
Evaluate the determinant for the following matrix: [-5 1, 1 4]
MrRissso [65]
The matrix given is \left[\begin{array}{ccc}-5&1\\1&4\end{array}\right]

To find determinant \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] we do ad-bc

So, the determinant of the given matrix is
(-5)(4)-(1)(4) = -20 - 4 = -24
4 0
3 years ago
Read 2 more answers
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