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SVEN [57.7K]
4 years ago
7

James was asked to add 5 to a number and multiply the result by 5. He however first subtracted 5 from the number and then divide

d by 5, getting 5 as the answer. What is the correct answer?​
Mathematics
1 answer:
notka56 [123]4 years ago
8 0

Answer:

175

Step-by-step explanation:

Let's see what James DID to the number (let it be x):

x - 5 [firstly he did this]

then

(x - 5)/5

This is equal to 5.

So,

\frac{x-5}{5}=5\\x-5=25\\x=30

So, this number is 30

The correct answer would thus be:

Adding 5 to 30, which gives us 35

And then multiply by 5, which gives us 35 * 5 = 175

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I don't understand how to do this. Can anyone help. Preferably with steps. Thank you in advance!
Andrew [12]
You put the x=6
6³-4(6)²-12(6)+15=15
3 0
3 years ago
A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sh
Ainat [17]
So,

Since this is independent probability, the probability of the event above occurring is:
(probability\ of\ heads)(probability\ of\ even\ no.)

First, the probability of landing on heads.
\frac{1}{2}

Now, the probability of rolling an even number.
<u />\frac{3}{6}\ or\  \frac{1}{2}

Plug it into the equation.
\frac{1}{2} * \frac{1}{2} =  \frac{1}{4}

The correct option is C.
7 0
4 years ago
-9e - 4 &gt; 41<br> show u work plz
seraphim [82]

Answer:

e = -5

Step-by-step explanation:

-9e - 4 > 41

<u>      +4    +4</u>

-9e > 45

divide by -9 on both sides

e = -5

Hope dis helped!

8 0
3 years ago
A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?
kompoz [17]

Answer:

  5.9 years

Step-by-step explanation:

We believe a better representation of the compound interest formula is ...

  V(t)=P(1+\dfrac{r}{n})^{nt}

We want to find the value of t for P=1 and V(t)=2. We are told n=4, so the formula becomes ...

  2=(1+\dfrac{.12}{4})^{4t}\\\\\log{(2)}=4t\log{(1.03)}\quad\text{take logs}\\\\t=\dfrac{\log{2}}{4\log{1.03}}\approx\boxed{5.9\quad\text{years}}

8 0
4 years ago
If p is a polynomial show that lim x→ap(x)=p(a
Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

 

Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

= 2|x|^3 + 5|x|^2 + |x| + 2

< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
3 years ago
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