Gina has 90 meters of yarn.She uses 4 1/2 meters of yarn for every box she makes.How many boxes can she make from the yarn? 1.What is asked? 2.What are the given facts? 3.What is the opertaion to be used? 4.What is the number sentence? 5.What is the complete answer? 4. 5.

Answer:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

Step-by-step explanation:

Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].

[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].

Factor out the 5, then isolate [tex]x^2[/tex]:

[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].

Therefore, the solutions to this quadratic are:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

Answer: $31.50

Step-by-step explanation:

We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.

The current value of the baseball card would be:

= $6 + (425% × $6)

= $6 + (425/100 × $6)

= $6 + (4.25 × $6)

= $6 + $25.5

= $31.50

Answer:

384 dog

Step-by-step explanation:

4*12= 48*8 is 384

Answer:

Here are a few ways that I do that:

18 * 5 is the same as (10 + 8) * 5, which equals 50 + 40, which is 90

It's also the same as (20 - 2) * 5, which equals 100 - 10, again, 90

It's also 9 * 2 * 5, which equals 9 * 10, or 90

It's also 3 * 6 * 5, or 3 * 30, which is 90.

Answer:

7:4 would be the ratio I think

Answer:

the X=1 and F=6  i think

Step-by-step explanation:

the table shows X increases by 1 and f is decreasing by 6 but im sure this is not the best explanation don't count on mine lol

Answer:

I am pretty sure its the first one

I would say the bottom right graph (D) best fits the data because it passes through the most points possible on the graph.

Answer:

194

Step-by-step explanation:

you would do 340 divided by 2 and that gets you 170 then you would subtract 24 from Rita and that is 146 so Rita drove 146 miles. then for Joel you add 170 +24 = 194. So Joel drove 194 miles.

hope this helps

Answer:

2

Step-by-step explanation:

Remark

You are going to set up a proportion. The sides used are opposite the chosen angles.

Givens

x is opposite an angle marked by 2 arcs.

5 is opposite an angle marked with 1 arc.

8 is opposite an angle marked with 2 arcs

20 is opposite an angle marked with 1 arc.

Equation

x/5 = 8/20              Cross Multiply

20x = 5*8

20x = 40

x = 40/20

x = 2

Answer:

They all have equal bases.

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

x=5

hope this helps !!:)

Step-by-step explanation:

Answer:

7.21

Step-by-step explanation:

Solution,

Given,

base = 4

perpendicular = 6

hypotenuse = ?

Now,

By the formula of Pythagoras Theorem,

h^2 = p^2 + b^2

h^2 = 6^2+4^2

h^2 = 36+16

h = sqrt ( 52 )

h = 7.21

Therefore, the value of x (hypotenuse) is 7.21 .

Answer:

x= 7.21///no

Step-by-step explanation:

4^2 + 6^2 = 52

take the square root which equals 7.21

///

Pythagorean triples consist of perfect squares, like 2^2 is for the side that is equal to 4, 6 is not a perfect square.

Answer:

56, 72, and 198.

Step-by-step explanation:

Hope this helped! :)

Answer:

B

Step-by-step explanation:

n+(n+1)=59

2n=59-1=58

n=58/2=29

n+1=29+1=30

Answer:

C.) y=2x-13

Step-by-step explanation:

Answer:

The result of multiplying 7 with 8 is called the product. Thus, the product of 7 and 8 is as follows:

56

In other words, we find the product of 7 and 8 by simply calculating 7 times 8 which equals 56. Pretty easy huh?

If someone asks you, "What is the product of 7 and 8?", your answer will be:

7 x 8 = 56

To find any product in the future on your own, just remember that the product is the answer you get when you multiply numbers together.

Answer:

56

Step-by-step explanation:

Product means to multiply

7 * 8 = 56

Check...

56 / 7 = 8

56 / 8 = 7

Yes

Hope this helped!

Have a supercalifragilisticexpialdocious day!

Answer:

x = 6

x = -1

x = 1

Step-by-step explanation:

Given:

Correct equation;

P(x) = x³ - 6x² - x + 6

Computation:

x³ - 6x² - x + 6

x²(x-6)-1(x-6)

(x-6)(x²-1)

we know that;

a²-b² = (a+b)(a-b)

So,

(x-6)(x²-1)

(x-6)(x+1)(x-1)

So,

zeroes are;

x = 6

x = -1

x = 1

Answer:

D

Step-by-step explanation:

x=4

Answer:

80 minutes

Step-by-step explanation:

Represent Plan A as y = $26.50 + ($0.35/min)x, where x is the number of minutes consumed.  

Represent Plan A as y = $42.50 + ($0.15/min)x

We set these two equations equal to one another and solve for x, the number of minutes at which the costs of the two plans are momentarily equal:

y = $26.50 + ($0.35/min)x = y = $42.50 + ($0.15/min)x

Combining like terms, we get:             ($0.20/min)x = $16.00

                  $16.00

Then x = -------------------- = 80 minutes

                 ($0.20/min)

Answer:

There is not a proportional relationship

Step-by-step explanation:

The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.

Answer:

Yes, the proportional relationship is 9.50

Step-by-step explanation:

In the graph that you have attached this picture with, hours x 9.50 = pay.

Hope this helps :D

Answer:

4.2

Step-by-step explanation:

Hypotenuse ² = opposite ² + adjacent ²

Opposite = 3

Adjacent = 3

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = 3² + 3²

Hypotenuse ² = 9 + 9

Hypotenuse ² = 18

Find the square root of both sides

√Hypotenuse² = √18

Hypotenuse = √18

Hypotenuse = 4.2426406871192

Hypotenuse = 4.2 to the nearest tenth

Answer:

Hope this helps

Step-by-step explanation:

Answer:

[tex]\mathrm{D.\:}14<x<32[/tex]

Step-by-step explanation:

In any triangle, the sum of any two sides must be greater than the other side. Therefore, in the given triangle with side lengths [tex]9[/tex] and [tex]12[/tex], we can write the following inequalities:

[tex]\begin{cases}(x-2)+9>21,\\21+9>(x-2)\\\end{cases}[/tex]

Solving these inequalities, we get:

[tex]x-2>12,\\x>14\\\\30>x-2,\\x<32[/tex].

Combining this into one inequality gives us:

[tex]\mathrm{D.\:}14<x<32[/tex].

how are we suposed to do this

Step-by-step explanation:

Number of bushels after 5 days

= 120 - 5(16.75)

= 36.25 = 36 1/4 bushels.

Answer:

Step-by-step explanation:

we have we know that see the graph

Let

Find the slope B   The slope is positive

so

The graph is increasing in the interval----------> (10, ∞)

Find the slope AB

The slope is negative

so

The graph is decreasing in the interval----------> (-∞,10)

therefore