You bought a notebook for $2 and 6 packs of crayons. If
you spent a total of $26, how much was each pack of
crayons?

Answer:

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-14, -3)

This means that [tex]x_0 = -14, y_0 = -3[/tex]

So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-14))^2 + (y - (-3))^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

Passes through the point (-5,3),

This means that when [tex]x = -5, y = 3[/tex]. We use this to find the radius squared. So

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](-5 + 14)^2 + (3 + 3)^2 = r^2[/tex]

[tex]r^2 = 117[/tex]

So, the equation of the circle is:

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Answer:

3h² - 11h - 42 = (3x+7)(x−6)

Step-by-step explanation:

We need to find factors of 3h² - 11h - 42. It is a quadratic equation.

We search two numbers such that their product is 42 and sum is 11. So,

3h² - 11h - 42 = 3h² -18x +7x -42

= (3x+7)(x−6)

So, the required factors are (3x+7)(x−6).

Answer:

Flag = 46

Shamrock = 46

Hat = 27

Accordion = 198

Step-by-step explanation:

To keep things simple, I'll denote the flag with f, the shamrock with s, the hat with h and the accordion with a.

The second equation tells us that f/s is 1. When you divide something by something and get 1, that means they're equal (eg, 2÷2=1, 3÷3=1 etc). That means f=s.

The second equation tells us f+s+s=138, but since f=s, this basically means 3f=138. Dividing both sides by three, we find out f=46 and by extension, s=46.

The third equation tells us s+h+h=100. We know s so we can write this as 46+2h=100. Take 46 form both sides to get 2h=54. Divide both sides by 2, we find out h=27.

The fourth equation tells us a=4f+14. Sub in our value for f and this is a=(4x46)+14. Solve this to get a=184+14, a=198.

Answer:

17

Step-by-step explanation:

Range is the largest number minus the smallest number. In this case, you would do 20 - 3 and get the answer of 17.

Answer:

resta el valor mínimo del valor máximo para obtener el rango 20-3=17

Answer:

love to answer questions i cant see

Step-by-step explanation:

Given:

The point (7, 4) lies on a circle centered at the origin.

To find:

The equation of the circle and the radius of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.

[tex]r=\sqrt{(0-7)^2+(0-4)^2}[/tex]

[tex]r=\sqrt{(-7)^2+(-4)^2}[/tex]

[tex]r=\sqrt{49+16}[/tex]

[tex]r=\sqrt{65}[/tex]

The standard form of the circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]            ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=0, k=0 and [tex]r=\sqrt{65}[/tex] in (ii), we get

[tex](x-0)^2+(y-0)^2=(\sqrt{65})^2[/tex]

[tex]x^2+y^2=65[/tex]

Therefore, the equation of the circle is [tex]x^2+y^2=65[/tex] and its radius is [tex]r=\sqrt{65}[/tex].

Answer

2. 10  10 x 4=40  10+40=50

3. 49  3 x 49=147

Step-by-step explanation: number 1 i'm not sure

Answer: 2x^2-4x-16

Step-by-step explanation:

Answer:  x^4 - 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+y=10

x=10-y

x=10-5

x=5

3y= -3x+30

3(10-y)= -3(10-y)+30

30-3y= -30+3y+30

30+30-30=6y

30=6y

y=5

I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.

The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.

As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.

Now write out each sentence using variables.

1.) Tia sold 78 hamburgers and chicken tenders.

x+y=78

2.) If she sold 24 more hamburgers than chicken tenders.

x=y+24

Now that we have the 2 equations, its time to solve.

Since we have x=y+24, we can replace the x in the first equation with the second equation

y+24+y=78

2y+24=78

Now we can subtract 24 from both sides.

2y=54

Simplify

y=27

Solve for x

x=27+24=51

Done!

Answer:

$ 24.15

Step-by-step explanation:

100%= $21

(100+15)% =115% ×$21

(115/100)*21= 24.15$

Answer:

I think 64 dollars

Step-by-step explanation:

*8x3=24  

88-24=64

Answer:

D)

[tex](0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

Step-by-step explanation:

Step:-1

Given that the random sample size 'n' = 50

The sample proportion

                       [tex]p^{-} = \frac{32}{50} = 0.64[/tex]

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

[tex](p^{-} - Z_{0.90} \sqrt{\frac{p(1-p)}{n}, } , p^{-} +Z_{0.90} \sqrt{\frac{p(1-p)}{n} })[/tex]

Step(ii):-

Level of significance = 0.90

Z₀.₉₀ = 1.645

[tex](0.64 - 1.645 \sqrt{\frac{0.64(1-0.64)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(1-0.64)}{50} })[/tex]

[tex](0.64 - 1.645 \sqrt{\frac{0.64(0.36)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]

(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)

(0.52846 , 0.75166)

Final answer:-

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

Step-by-step explanation:

8: 4, 2

20: 10, 5

have a good day

Answer:

2/5

Step-by-step explanation:

Hey There!

To simplify this expression we need to find the greatest common factor

Both values can be divided by 4

so the greatest common factor is 4

8/4=2

20/4=5

so the simplified version of the given expression is 2/5

Answer:

is this weird but in all my years of school I've never learn something like this

The answer is just -infinite

Answer:

1.5 % is same as 1.50

explanation:

because 1.5 means that the equipment used to measure the number could not measure .It's equal, 1.50 is the same thing just with an added zero.

Answer:

306.25-156.25/70-50 =150/20=7.5 ft/mph

Step-by-step explanation:

For every 1 mph over 50 mph a car is traveling, its braking distance increases by 7.5 ft

The required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Distance traveled when applying brake when speed is 70 mph is 306.25,
Distance traveled when applying brake when speed is 50 mph is 156.25 ft

The rate of change of braking is given as,

= 306.25-156.25/70-50
= 150/20
=7.5 ft/mph

Thus, the required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2

Answer:

0.4 miles

Step-by-step explanation:

kiran will have walked 3 miles while clare 3.4 so 3.4-3=0.4

Answer:

c I believe

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,

Answer:

C

Step-by-step explanation:

i took the same test

Answer:

Volume of cube = 216cm^3

Volume of box =  168cm^3

Step-by-step explanation:

Cube:

6 x 6 = 36

36 x 6 = 216

Box:

7 x 6 = 42

42 x 4 = 168

Answer:

216 cm^3, 168 cm^3

Step-by-step explanation:

Cube

Volume of a cube is the side * side * side.

Side = 6 || 6 * 6 * 6 = 216 cm^3

Rectangular Box

Volume of box is product of height, depth, and width.

Sizes are, 7, 6, 4 || 7 * 6 * 4 = 168 cm^3

Answer:

See answers below.

Step-by-step explanation:

Large Rectangle:  length x width = (x + 3)(x - 4) =

                                        x² - 4x + 3x - 12

                                           x² - x - 12

Smaller Rectangle:  length x width = (x)(3) = 3x

Shaded Region: shaded area =  lg. rectangle minus small rectangle

                             A = (x² - x - 12) - 3x  

                             A = x² - 4x - 12

Solve for x, if shaded reion's area is 48 square units:      

                          48 = x² - 4x - 12

                                  x² - 4x - 12 -48 = 0

                                  x² - 4x - 60 = 0

                                  (x - 10)(x + 6) = 0

                                   x - 10 = 0   or   x + 6 = 0

                                   x = 10    or    x = -6

                                               But x represents a length, so x cannot be -6.

                                  x = 10

Answer:

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Step-by-step explanation:

option a