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3 years ago

A number is increased by 30, and the

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

5 0

Answer:

The number is 17

Step-by-step explanation:

Let the number be n. Increasing this by 30 results in n + 30. Tripling this result results in 3(n + 30) = 141.

Multiplying as indicated: 3n + 90 = 141, or

3n = 51

Solving for n, we get n = 51/3 = 17

Novosadov [1.4K]3 years ago

4 0

Answer:

The original number is 17.

Step-by-step explanation:

$3(x+30)=141\\\\\frac{3(x+30)}{3}=\frac{141}{3}\\\\x+30=47\\\\x+30-30=47-30\\\\x=17$

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What is the distance from -7 to +5 on a number line? <br> A. -2<br> B. 12

viktelen [127]

B. 12_________________

8 0

3 years ago

Read 2 more answers

1) A 1.5 kg apple pie is sitting on the kitchen counter . If it has 13.44 J of gravitational potential energy, how tall is the c

vampirchik [111]

Answer: 0.91 m

Explanation:

We know that,

P.E. = m g h

Where,

P.E = Potential energy

m = Mass of the object

g = acceleration due to gravity (9.8 m/s²)

It is given that, m = 1.5 kg

P.E. = 13.44 J

⇒ 13.44 = 1.5 kg × 9.8 m/s² × h

⇒ h = 0.91 m

Hence, apple sits om 0.91 m tall counter.

Answer: 216 J

Explanation:

P.E. = m g h

Weight, mg = 120 N ( given)

height, h = 1.8 m ( given)

The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)

P.E. = 120 N × 1.8 m = 216 J

Hence, the energy possessed by the suitcase sitting on the counter is 216 J.

8 0

4 years ago

CAN YOU ACCEP THIS CHALLEGE OF 5 QUESTION ITS MATH DO IT IF YOU DARE

solong [7]

Answer:

Hello!!

The answer to the first question is D. For 15 days

The answer to the second question is A. or 3 x 1/4

The answer to the third question is A. or 1/20 cup

The answer to the fourth question is A.

The answer to the fifth question is A. or 4 quarts

Step-by-step explanation:

These are the correct answers!

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5 0

3 years ago

Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

3 0

3 years ago

21➗7= , ✖️7=21 what is the meaning of the unknown factor and quotient?

viktelen [127]

21 divided by 7 equals 3 and 3 x 7 is 21 the missing factor is 3 and the missing quotient is 21

5 0

3 years ago