Show that 4(a + 3) - 3(a - 2) = a + 18

Answers

Answer 1

Answer: 4(a + 3) - 3(a - 2) = a + 18 4a+12-3a+6=a+18 a+18=a+18 true

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Anits takes 8 hours to build 5 birdhouses. How many birdhouses could she Build in 24 hours?
Which situation describes a correlation that is not a causal relationship? (1) Car color and number of car accidents(2) Hours spent studying and test score(3) Amount of exercise each week and the time it takes to run a mile(4) Distance to reach a destination and the amount of gasoline used
The term "precision" BEST refers to which of the following?a. whether or not a measurement is correctb. how "close together" a set of measurements isc. whether or not a tool for making measurements is usefuld. how close a measurement is to an accepted value for the measurement
How do I factor this? X^2-12x+36
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WILL FAN AND MEDAL!! Dilation problem!!!Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. If M = (2, 4) and N = (3, 5), what is the slope of line M'N'?

Answers

Answer:

Slope of line M'N' is 1.

Step-by-step explanation:

Given: M= (2,4) and N = (3, 5) ; K = 0.8

The rule of dilation with origin as the center:

$(x ,y) \rightarrow (kx , ky)$ where k is the scale factor i.e k = 0.8

or $(x ,y) \rightarrow (0.8x , 0.8y)$

Then:

Apply this on coordinates of MNOPQ to find M' and N'.

$M(2 ,4) * (0.8\cdot 2 , 0.8\cdot 4)$ = M'(1.6 , 3.2)

$N(3 ,5) * (0.8\cdot 3 , 0.8\cdot 5)$ = N'(2.4 , 4)

Slope of line for any two points $(x_1 , y_1)$ and $(x_2, y_2)$ is given by:

$m = (y_2-y_1)/(x_2-x_1)$

To find the slope of line M'N':

we have M' = (1.6 , 3.2) and N' = (2.4, 4)

then by slope formula;

Slope of line M'N' = $(4-3.2)/(2.4-1.6)=(0.8)/(0.8) = 1$

Therefore, slope of line M'N' is 1.

slope=((y2)−(y1))/((x2)−(x1))=(5-4)/(3-2)=1/1=1 The answer is one

An item regularly priced at $80 is on sale for 20% off. There is a 3% sales tax. What is the sale price before sales tax?

Answers

Answer:

The answer is $64.

Step-by-step explanation:

An item regularly priced at $80 is on sale for 20% off.

This amount becomes:

$0.20*80=16$ dollars

So, price after discount is $80-16=64$ dollars

Given is that there is a 3% sales tax.

So, sales tax must have been applied to $64 before final bill.

And we have to tell the sale price before tax, so the answer is $64.

Therefore, the answer is $64.

the sale price before the sale tax is $ 60 and the sales taxes will be $ 180

Finish the sequence
1,1,2,3,5,8,_,_,_

Answers

This is a Fibonacci sequence
1; 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
next terms:
5 + 8= 13
8 +13 = 21
13 + 21 = 34

The Fibonacci sequence has to be thought of in these terms:

F₀, F₁, F₂, F₃, F₄, F₅, F₆, F₇, etc, etc

----------------------

Now:

F₀=0

F₁=1

The formula you use to get the other numbers is:

$F_(n) = F_(n-1) + F_(n-2)$

--------------

So:

$F_(2) = F_(2-1) + F_(2-2) = F_(1) + F_(0) =1+0=1$

And:

$F_(3)= F_(3-1) + F_(3-2) = F_(2) + F_(1) =1+1=2$

------------

If you continue using the formula, you should get a sequence that starts off like this:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc, etc

12.5% of what number is 24? Please help and show work

Answers

$\n y- number\n \n12.5\% \ of \ y = 24 \n \n (12.5)/(100)*y=24 \n \n y=24: (12.5)/(100)\n \n y=24* (100)/(12.5) \n \n y= (2400)/(12.5)= \n \n y=192 \n \n\huge\text{The answer is y=192 !!!}$

PLEASE HELP!!!!!!solve for the equations :
- 3y + 7 + 3(y-1) = 2(2y+6)

- (x-5)(x+4) = (x+7)(x-6)

- 2(x+1)2(x-2)2 = x(x-3)

Answers

-3y + 7 + 3(y - 1) = 2(2y + 6)
-3y + 7 + 3y - 3 = 4y + 12
4y = 4 - 12 = -8
y = -8/4 = -2.

-(x - 5)(x + 4) = (x + 7)(x - 6)
-(x^2 + 4x - 5x - 20) = x^2 - 6x + 7x - 42
-x^2 + x + 20 = x^2 + x - 42
2x^2 = 62
x^2 = 62/2 = 31
$x=\pm√(31)$

1.y=-2
2. x1,2=+-5.56
3.x1=16.13 , x2=-0.85

Premonition : predestination ::a. forecast : weather
b. expectation : fulfillment
c. fear : accident
d. warning : fate

Answers

premonition is a strong feeling that something is about to happen, especially something unpleasant. and predestination is if you think everything happens for a reason and we have no control over our own futures.

final answer is I would say B

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