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hichkok12 [17]
3 years ago
15

The quotient of a number and -7, decreased by 2, is 10. Find the number.

Mathematics
2 answers:
garik1379 [7]3 years ago
8 0

Answer:

-84

Step-by-step explanation:

Let the number be x. Then we have,

\frac{x}{-7} (the quotient of a number and -7)

\frac{x}{-7}-2 (decreased by 2)

\frac{x}{-7}-2=10 (is 10)

Now we can solve for x,:

\frac{x}{-7}-2=10

\frac{x}{-7}=12

x=-84

So, the original number is -84

frozen [14]3 years ago
8 0

Answer:

-84

Step-by-step explanation:

\frac{n}{-7} -2 = 10

add 2 to each side to get:

\frac{n}{-7} = 12

multiply each side by -7 to get:

n = -84

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DochEvi [55]

Answer:

jack was incorrect

Step-by-step explanation:

this is because -15 is more negatives then -10. (this is one way to look at it) the correct answer is: -10 > -15

4 0
4 years ago
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damaskus [11]
The answer is -3

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3 0
3 years ago
Read 2 more answers
An airplane pilot wants to climb from an altitude of 6000 feet to 16,000 feet. If the plane climbs at an angle of 9 degrees, wit
puteri [66]
So, the pilot goes from 6,000 to 16,000 or distance up of 10,000 feet
the plane is going at a speed of 22,000 per minute, namely, dx/dt = 22,000

so. .if you look at the picture below... we can simply use tangent
keeping in mind that, as the plane moves up and up, the angle is "constant", is never changing, whilst "y" and "x" and even "r" are changing, but we're not using "r" in this case.... we know what dx/dt is, we know the angle is a constant, this matters because the derivative of a constant is just 0

so, we really just need to find dy/dt then, because whilst dx/dt is telling us how fast is moving horizontally, dy/dt is telling us how long it took to cover those 10,000 feet

thus  \bf tan(\theta)=\cfrac{y}{x}\implies tan(\theta)=yx^{-1}\implies tan(9^o)=yx^{-1}\\\\
-----------------------------\\\\
0=\left( \cfrac{dy}{dt}\cdot \cfrac{1}{x} \right)+\left( y\cdot -\cfrac{1}{x^2}\cdot \cfrac{dx}{dt} \right)\implies 0=\cfrac{\frac{dy}{dt}}{x}-\cfrac{y\frac{dx}{dt}}{x^2}
\\\\\\


\bf \\\\\\
\cfrac{y\frac{dx}{dt}}{x^2}=\cfrac{\frac{dy}{dt}}{x}\implies \cfrac{y\frac{dx}{dt}}{x}=\cfrac{dy}{dt}
\\\\\\
\textit{so, what's "x" when y = 10000?}
\\\\\\
tan(9^o)=\cfrac{10000}{x}\implies x=\cfrac{10000}{tan(9^o)}\implies x\approx 63175.5

once you find what dy/dt is... you can simply do a quick conversion for the 10,000 feet, to see how many minutes it took

4 0
3 years ago
pleaaseeeee help The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If
ale4655 [162]
l=\frac{2}{3} \\
w=\frac{1}{3} \\ \\
P=2(l+w)=2(\frac{2}{3}+\frac{1}{3})=2 \times \frac{2+1}{3}=2 \times \frac{3}{3}=2 \times 1=2

The perimeter is 2 units.
5 0
3 years ago
Hasil dari 64^5/6 + 27^2/3 - 81^3/4 adalah<br>tolong bantuannya kakak kakak<br>​
NeTakaya

Answer:

14

Step-by-step explanation:

Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4

According to indices;

a^{m/n} = (\sqrt[n]{a}) ^m

Applying this to the question

64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32

Similarly

27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\

Also;

81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27

Substitute inti the original equation

64^5/6 + 27^2/3 - 81^3/4

= 32 + 9- 27

= 41 - 27

= 14

Hence the required answer is 14

6 0
3 years ago
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