A garden table and a bench cost $668 combined. The garden table costs $82 less than the bench. What is the cost of the bench?

Answer:

243

Step-by-step explanation:

999-100= 899 integers

200s 400s 600s 800s excluded so 400 numbers excluded

899 - 400 = 499

20s 40s 60s 80s which are 40 integers x 4 = 160

499 - 160 = 339

2s 4s 6s 8s which are 4 integers x 6 x 4 ( 4 from each 100 ) = 96

339 - 96 = 243 integers

Answer:

1728000

Step-by-step explanation:

40 feet is 480, then convert hour tom minute (times 60) then times 60 again to convert minute to second (times 60)

Hope this helps!

Answer:

y = x^2 + 3x - 10

Step-by-step explanation:

x*x + 5*x + -2*x + 5*-2

= x^2 + 3x + -10

PLEASE RATE!! I hope this helps!!

Answer:

  a) 272 feet

  b) 3 seconds

  c) 7.123 seconds

Step-by-step explanation:

A graphing calculator provides an easy way to answer questions about the parameters of a quadratic function. Here the graph shows ...

a) the maximum height is 272 feet

b) it takes 3 seconds to get there

c) the rocket crashes after about 7.123 seconds

__

You can solve this algebraically by rewriting the equation in vertex form.

  h(t) = -16t² +96t +128 . . . . . . given

  h(t) = -16(t² -6t) +128 . . . . . . . factor out leading coefficient

  h(t) = -16(t² -6t +9) +128 -(-16)(9) . . . . complete the square

  h(t) = -16(t -3)² +272 . . . . . . write in vertex form

The vertex of the height function is (3, 272) meaning the rocket reaches a maximum height of 272 feet after 3 seconds.

__

The zero of the function can be found to be ...

  0 = -16(t -3)² +272

  0 = (t -3)² -17 . . . . . . divide by -16

  t -3 = ±√17 . . . . . . add 17, take the square root

  t = 3 +√17 ≈ 7.123106 . . . . . positive time value for h(t) = 0

It takes about 7.12 seconds for the rocket to crash.

Answer:

Step-by-step explanation:

Divide the circle into 10 parts and color 2 parts black and 8 parts red.

Answer:

D

Step-by-step explanation:

When you look for (f+g)(x), we are in essence say that we're looking for f(x)+g(x)

=(2x+1)+(x^2-7).        (substitute for f(x) and g(x))

=2x+1+x^2-7.            (remove the brackets by substituting positive 1 into g(x))

=2x+x^2-6                (add like terms- in this case 1-7=6)

=x^2+2x-6                 (rearrange the equation)

Answer:

[tex]61^{2}[/tex]

Step-by-step explanation:

So area equals {(B+b) x h} / 2 the two bases are 4 and 10 which is 14 the height is 8 so 14 times 8 is 112. 112 divided by 2 is 61.  I hope this helps.

"If the population continues to change linearly", meaning the pattern or equation is the equation of a straight line.

[tex](\stackrel{x_1}{1994}~,~\stackrel{y_1}{4180})\qquad (\stackrel{x_2}{1999}~,~\stackrel{y_2}{3480}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3480}-\stackrel{y1}{4180}}}{\underset{run} {\underset{x_2}{1999}-\underset{x_1}{1994}}}\implies \cfrac{-700}{5}\implies -140[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4180}=\stackrel{m}{-140}(x-\stackrel{x_1}{1994}) \\\\\\ y-4180 = -140x + 279160 \\\\\\ y = -140x+283340~\hfill \boxed{P(t)=-140t+283340}[/tex]

what if t = 2002?

[tex]P(2002)=-140(2002)+283340\implies P(2002)= 3060[/tex]

Step-by-step explanation:

5,555 can be rounded up to 6,000 because the 5 next to the five thousand will make it go up. while the 4,444 will round to 4,000 . I don't have a clear answer but I hope this helps.

The predicted value of the car in the year 2006 to the nearest dollar would be  $651.

The first step is to determine the rate of depreciation

g = (FV/PV)^(1/n) - 1

Where:

FV = value of the car in 2001

PV = value of the car in 1993

n = number ofyears = 8

(2700/26,300)^(1/8) - 1  = -24.76%

Now determine the value of the car in 2006

2700x ( 1 - 0.2476)^5 = $651

To learn more about depreciation, please check: https://brainly.com/question/25552427

Answer:

1/3

Step-by-step explanation:

Factors of 18 are 1,2,3,6,9

Answer:

yes

Step-by-step explanation:

67,600 different passwords can be formed.

26 x 26 x 10 x 10 = 67,600 (26 letters in the alphabet and 10 from 0-9)

Answer:

3/5

Step-by-step explanation:

6+4+5 = 15

5+4 = 9

9/15 = 3/5

Answer:

3/5

Step-by-step explanation:

Since it given that a bag of tiles contains:

6 green

4 yellow

5 blue

To Find:

If one tile is pulled at random what is the probability of NOT choosing a green tile.

Solve:

knowing that there are a total of 15 tiles {6+5+4=15}

And there is 6 green tiles

Thus, 15 - 6 = 9

Hence, the probability of Not Choosing a green tiles before simplest form is 9/15

GCD - 3

Divide both the numerator and denominator by the GCD

9 ÷ 3/15 ÷ 3

Reduced fraction = 3/5

Therefore, the probability of Not choosing a green tiles is 3/5

~Lenvy~

Using the median concept, it is found that the third quartile is of is of $1,052.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the ordered data-set is:

$379, $498, $619, $777, $895, $1,052, $1,256.

Hence, the median of $777 divides the data-set into two halfs:

Hence, the third quartile, which is the median of the second half, is of $1,052.

More can be learned about the median concept at https://brainly.com/question/25215461

AE || BC

===》 DCB angle = DAE angle

AC /

__________________________________

Thus :

DCB angle = x

And also we know that the submission of interior angles of any triangle must equals to 180 degrees so :

In BCD triangle :

B + C + D = 180

x + x + D = 180

D = 180 - 2x

__________________________________

In the other hand we know that :

BDC angle + BDA angle = 180

because they make a straight line together so ;

180 - 2x + 50 = 180

- 2x = 180 - 230

- 2x = - 50

x = 25

And we're done...

Have a great time ♡

Answer:

41

Step-by-step explanation:

For this, you have to make two equations;

One that calculates the amount of coins

and one that calculates the amount of R

I'm going to set

R2 = x

R5 = y

To make this a bit easier to look at

So to do the number of coins, you want to do this:

x + y = 114

This is saying that the total amount of R2 coins plus the total amount of R5 coins will add up to 114

Then, you want to calculate the worth of them.

2(x) + 5(y) = 351

This is saying that for ever R2 coin there is, it will increase the total by 2, and every R5, it will increase the total by 5. When you add these together, it will come out to 351.

Then you have to solve the system of equations:

x + y = 114

2x + 5y = 351

-2 * (x + y = 114)

2x + 5y = 351

-2x + -2y = -228

2x + 5y = 351

3y = 123

y = 41

Since y is the amount of R5 coins, we know we have 41 R5 coins.

So the answer is

41

Answer:

Step-by-step explanation:

Hope this helps

Answer:

88.889% are right handed, 11.111% are left handed, ~320 people are right handed in a class of 360, ~40 people are right handed.

Step-by-step explanation:

The fraction 8/9 is equal to .88889, or 88.889%

Likewise, the fraction 1/9  (remainder) is equal to .11111, or 11.111%

By multiplying 360 by these fractions to get the number of people who fit these criteria in the sample, you get:

360*8/9 = 320 people right handed.

360*1/9 = 40 people left handed.

Cheers!

Using it's concept, considering the number of desired and total outcomes, it is found that the probabilities are given by:

a. 0.6 = 60%.

b. 0.4 = 40%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that there is a total of 127 + 44 + 95 + 104 = 370 customers.

Item a:

127 + 95 = 222 customers prefer either baked potato or asparagus, hence the probability is given by:

p = 222/370 = 0.6 = 60%.

Item b:

44 + 104 = 148 customers prefer either steamed broccoli or sweet potato, hence the probability is given by:

p = 148/370 = 0.4 = 40%.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

yes

Step-by-step explanation:

If you take 20 and divide by 4 you get 5. if you take 16 and also divide by 4, you will get 4.

Answer:

14cm

Step-by-step explanation:

Algebra is the way!

But seriously, let's model this algebraically.

We know the that the area of a triangle is represented by:

[tex]A = \frac{1}{2} base*height[/tex]

we'll use b and h to represent base and height

[tex]A = \frac{1}{2} b*h[/tex]

Okay, so you are given the area of the triangle already. It is [tex]35 cm^2[/tex]. SO you have:

[tex]35 = \frac{1}{2} bh[/tex]

Now here's the tricky bit of the question. You have 2 unknown variables, oh no! How will you solve? The key to this is simple, in a case where you have 2 or more unknown variables, ALWAYS think to yourself, "can I represent this variable in terms of another"?

In this case you can. They tell you what the height of the triangle is, in terms of the length of the base. They tell you, height is 4 cm more than 2 times the base.

So replace h in this equation with 2b + 4.

[tex]35 = \frac{1}{2} (b)(2b+4)\\\\35 = \frac{1}{2}(2b^2 + 4b)\\ 70 = 2b^2 + 4b\\0 = 2b^2 + 4b - 70\\0 = (2)(b^2 + 2b - 35)\\0 = (b +7)(b - 5)\\\\b = 5\\b\ \neq -7[/tex]

Okay, so you know the base of the triangle is 5 cm. The question asks for height, so what you're going to do is refer back to what h is.

We found that [tex]h = 2b + 4[/tex]

sub in 5 into that:

[tex]h = 2(5) + 4 = 14[/tex]

Therefore the height of the triangle is 14cm.

Answer:

Step-by-step explanation:

Givens

Area = 1/2 B* H

B = B

H = 2*B + 4

Area = 35

Solution

35 = 1/2 * B * (2B + 4)                          Multiply both sides by 2

35*2 = 2*(1/2) * B * (2B + 4)                 Combine

70 = B(2B + 4)                                      Remove the Brackets.

70 = 2B^2 + 4B                                    Subtract 70 from both sides.

2B^2 + 4B - 70 = 0                               Divide everything by 2

B^2 + 2B - 35 = 0                                 Factor

(B + 7)(B - 5)

B+7 = 0 will give a minus number. Geometry does not allow minus numbers.

B - 5  = 0

B = 5

But what you want is the height.

h = 2b + 4

h = 2*5 + 4

Answer: h = 14

Answer:

if I'm wrong let me know 25

Answer:

Option D is your correct answer

I think it will help.

Answer: I think its 75 percent

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The shaded is part of the poster 9/12

To convert 9/12 into a percent

100 ÷ 12 = 8.3333333333333

[tex]\frac{9*8.3333333333}{12*8.3333333333} = \frac{75}{100}[/tex]

Answer:

Yes it's correct

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50