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2 years ago

Twenty less than a number is more than twice the same number . Step by step to get the answer

2 answers:

5 0

N=number
N - 20 > 2N
-20 > N

Step 1: Set up an inequality based on the words. twenty less means minus twenty or - 20. I used N for the unknown number. twenty less than a number, means N -20. Is more than means its greater so N - 20 > than the twice the same number which is 2N. so N-20>2N is my inequality

Step 2: subtract N from both sides and you are left with -20 > N. which means that N has to be less than -20. So, -21, -22, -23.... would all work.

likoan [24]2 years ago

3 0

20 less than (-20) a number (n) is more than (>) twice the same number (2n)
-20+n>2n
minus n both sides
-20>n
n<-20

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6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned

kap26 [50]

Answer:

$2000

Step-by-step explanation:

6,000 dollars is invested in two different accounts earning 3% and 5% interest.

Let x be the amount invested in account earning 3% interest

So, 6000-x is the amount invested in account earning 5% interest

$S.I. =\frac{P\times R\times T}{100}$

So, Simple interest for account earning 3% interest

$S.I. =\frac{x \times 3 \times 1}{100}$

$S.I. =0.03x$

Simple interest for account earning 5% interest

$S.I. =\frac{(6000-x) \times 5 \times 1}{100}$

$S.I. =0.05(6000-x)$

$S.I. =300-0.05x$

Since we are given that the two accounts earned $220 in interest

So, $0.03x+300-0.05x=220$

$−0.02x+300=220$

$80=0.02x$

$\frac{80}{0.02}=x$

$4000=x$

So, 4000 was invested at 3%

(6000-x)=6000-4000=2000 was invested at 5%

Hence 2000 was invested at 5%

8 0

3 years ago

The line l is tangent to the circle with equation x² + y2 = 169 at the point P.

timofeeve [1]

Given:

The equation of a circle is

$x^2+y^2=169$

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

$m_1=\dfrac{5-0}{12-0}$

$m_1=\dfrac{5}{12}$

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

$m\times m_1=-1$

$m\times \dfrac{5}{12}=-1$

$m=-\dfrac{12}{5}$

Therefore, the gradient or slope of the tangent line l is $-\dfrac{12}{5}$ .

6 0

2 years ago

If f(x) = -x^2+3x, find (-5)

love history [14]

The A/= it means the answer is okay.

4 0

2 years ago

Which does not show a direct variation between x and y?

Zepler [3.9K]

A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where $y = x * (constant)$ .

In answer a, $y = x*.5$ , so it is a direct variation.
In answer c, $y = x* \frac{1}{9}$ , so it is a direct variation.
In answer d, $y = x*2$ , so it is a direct variation,

Only answer b is left, which means the answer must be 'b'.

We also know 'b' is the answer because it cannot be expressed as <span> $y = x * (constant)$ . Instead, it is expressed as </span> $y = \frac{constant}{x}$ , which is not the same thing and is therefore not a direct variation.

Hope I helped, and let me know if you have any questions :)

8 0

2 years ago

Read 2 more answers

The sum of three numbers is 244.84. One of the numbers is 24.6. The other two numbers are equal to each other. What is the value

mamaluj [8]

Answer:

The value of each of the other two numbers is 110.12

Step-by-step explanation:

244.84 - 24.6 = 220.24

220.24 divided by half is 110.12

The value of the other two numbers is 110.12

4 0

1 year ago