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Zina [86]
3 years ago
7

the selling price for a classic speedboat is $1800, which is $1500 less the 2 times its original price. what was the original pr

ice
Mathematics
1 answer:
ch4aika [34]3 years ago
5 0
The first thing you need to do is set up the equation. from the question, you can set up this equation
1800 = 2x - 1500
from this, you need to subtract 1500 from both sides
then, you get:
3300 = 2x
to find x, divide both sides of the equation by two:
1800 = 2x - 1500
--------------------------
           2
from this, you get that x = 1650
ANSWER: x = 1650
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Complementary events must have a sum of 1.
Bas_tet [7]

This is a true statement.

Consider two events A and B. We say they are complementary if P(A)+P(B) = 1

This means that either event A or event B must happen, since the "1" represents 100% probability. Having a probability of 100% means absolute certainty.

---------

Example:

A = the event it rains

B = the event it does not rain

P(A) = 0.30 = 30% chance of rain

P(B) = 0.70 = 70% chance it does not rain

P(A)+P(B) = 0.30+0.70 = 1

So this shows the two events are complementary.

8 0
3 years ago
Solve.
Nat2105 [25]

The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>

Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:

−0.4x − 3.1 = 5.9

  • Add 3.1 to both sides

−0.4x − 3.1 + 3.1 = 5.9 + 3.1

-0.4x = 9

  • Divide both sides by -0.4

-0.4x/-0.4 = 9/-0.4

x = -22.5

Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/16864747

7 0
2 years ago
For the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Stella [2.4K]

Answer:

The18th term of the given sequence is -128

Explanation:

To find the 18th term of the sequence:

42, 32, 22, 12, ..., we need to find the nth term of the sequence first.

The nth term of a sequence is given be the formula:

T_n=a+(n-1)d

Where a is the first term, and d is the common difference.

Here, a = 42, d = 32 - 42 = -10

\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}

To find the 18th terem, substitute n = 18 into the nth term

\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}

7 0
1 year ago
How the points are placed in graphing linear inequalities?
Yanka [14]

Answer:

Plot the line y = 2x - 3 and the portion above the line will satisfy the inequality.

5 0
3 years ago
Im in need of help so please help[ :)))
const2013 [10]

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule (x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y) to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

(x,y)\to (kx,ky)

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

k=\dfrac{2}{3}

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.

4 0
2 years ago
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