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maks197457 [2]
2 years ago
14

A number decreased by fifteen is less than two.

Mathematics
1 answer:
Aliun [14]2 years ago
3 0

Let us assume number of n.

The number is decreased by 15.

Decreasing by 15 means, we need to subtract 15 from that number.

So, it would be come n-15.

Now, it is said that the number would become less than 2.

So, we need to setup an inequality:

n-15 is less than 2.

<h3>n-15 < 2  : required inequality .</h3>

Adding 15 on both sides, we get

n-15+15 < 2+15

n < 17.

<h3>So, we could say the number would be less than 17.</h3>
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2 years ago
A coin is tossed and an eight​-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling
ratelena [41]

Answer: 7/8

Step-by-step explanation:

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The second part of the question is rolling a die with eight sides.

Here, the die is said to have eight sides, 1,2,3,4,5,6,7,8. Total outcomes is therefore equal to 8

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6 0
3 years ago
Use the Pythagorean Theorem to find an approximate value of x
kozerog [31]

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

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0 = 13x² + 4x  + 1 - 9x²  - 24x - 16

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x = 5 .66   ; x = -0.66

Ignore x = -0.66 as length of a side cannot be negative

Answer : x = 5.66

7 0
2 years ago
If $8700 is invested at 3% annual simple interest, how much should be invested at 6% annual simple interest so that the total ye
True [87]
First off, see  how much 8700 as principal, yields at 3% APR
that is \bf \qquad \textit{Simple Interest Earned}\\\\&#10;I = Prt\qquad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\to& \$8700\\&#10;r=rate\to 3\%\to \frac{3}{100}\to &0.03\\&#10;t=years\to &1&#10;\end{cases}

it will yield some amount

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\bf \qquad \textit{Simple Interest Earned}\\\\&#10;I = Prt\quad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\to& \$8700\\&#10;r=rate\to 3\%\to \frac{3}{100}\to &0.03\\&#10;t=years\to &1&#10;\end{cases}&#10;\\\\\\&#10;\implies \boxed{?}\\\\&#10;-----------------------------\\\\&#10;\textit{how much to invest at 6\%?}&#10;\\\\\\&#10;

\bf \qquad \textit{Simple Interest Earned}\\\\&#10;(393-\boxed{?}) = Prt\quad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\to& \$\\&#10;r=rate\to 6\%\to \frac{6}{100}\to &0.06\\&#10;t=years\to &1&#10;\end{cases}&#10;\\\\\\&#10;\textit{solve for "P", to see how much should the Principal be}\\\\&#10;\textit{keep in mind that }P+\boxed{?}=393\leftarrow \textit{both yields added}
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2 years ago
I need to find the area.
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Answer:

Step-by-step explanation:

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≈1600-942

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8 0
3 years ago
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