Beth made wristbands and belts for a craft sale. She sold 30 of these items. Each wristband sold for $5.50. Each belt sold at $8.75. If Beth made $204 at the craft sale, how many wristbands did she sell? How many belts did she sell? Write and solve a system of equations to solve the problem. Show work.

Answer: 2,-6

Step-by-step explanation:

The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).

To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.

3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.

Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.

4. Factor the perfect square trinomial: (x - 2)² + y = -6.

The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).

To learn more about parabolas;

https://brainly.com/question/21685473

#SPJ4

The complete question:

Complete the square to find

the vertex of this parabola.

x² - 4x + y + 10 = 0

Answer:

m∠1 = 100°

Step-by-step explanation:

Answer:

The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold. The designer will reject the shipment of gold and miss out on an honest business relationship with the supplier.

Step-by-step explanation:

Type I error is defined as the rejection of the true null hypothesis. It is also called as the 'false positive' conclusion or 'false positive' findings. The value of alpha or the significance level determines the probability of making the error type I.

In the context, it is given that for a gold piece to be of 18 karat , the piece of jewelry must be made of 75% of pure gold.

The null hypothesis is, H0: The proportion of metal that is gold is 75%

The alternative hypothesis is Ha: The proportion of metal that is gold is less than 75%.

Thus the type I error is when the gold shipment is made of 75% gold but the jewelry designer rejects the shipment thinking that the shipment is made of less than 75% gold.

Thus it shows the error of type I rejecting the null hypothesis.

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

Answer:

75 vitamins = 18 dollars

Step-by-step explanation:

25 vitamins are equal 6 dollars

Answer:

$311.25

Step-by-step explanation:

Hope its right!   50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15

1/$4.15 x 75 = 75/$311.25  I hope this is right if not im so sorry!

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

Answer:  She paid $66.33

Step-by-step explanation:

The overall amount that you paid for the video game was 87.95. She got 27.79 back as a refund. So you subtract what she paid from her refund. 87.95-27.79 = 60.16.  She also had to pay a fine for the video game. So you add the fine to the amount. 60.16+6.17 = 66.33.

Overall, she paid 66.33.

Answer:

It's $66.33

Step-by-step explanation:

87.95-27.79+6.17=66.33

↓

She first bought electronics worth of $87.95.

Returned a video game and received a refund of $27.79.

=60.16 (87.95-27.79) | You have to subtract.

Had to pay a fee of $6.17 after returning the video game.

final amount - $66.33 (60.16+6.17) | You have to add the amount she now had after she got the refund and the restocking fee she had to pay.

Answer:

Two Real Solutions

Step-by-step explanation:

Use quadratic equation discriminant5t^2+3t-7=0

[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:

Since the discriminant is greater then 0, it two real solutions.

Answer:

[tex]x = 152[/tex]

because these angles are infront of each other

Answer:

x = 152

Step-by-step explanation:

x and 152° are vertical angles and are congruent , then

x = 152

Answer:

Yes

Step-by-step explanation:

You can refer to the photo that I attached.

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

Answer

1/ 2^20 • z^15

step by step explanation

Answer:

x=1

Step-by-step explanation:

3-√x-2 =0

-√x=2-3

√x=1

x=1²=1

the second one.

Step-by-step explanation:

sjisidjdododpdpddod

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

Answer:

x=1+√13 or x=1−√13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

5x2−10x−21−39=39−39

5x2−10x−60=0

For this equation: a=5, b=-10, c=-60

5x2+−10x+−60=0

Step 2: Use quadratic formula with a=5, b=-10, c=-60.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(5)(−60)

2(5)

x=

10±√1300

10

x=1+√13 or x=1−√13

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form by subtracting 39 from both sides.  We get:

5x^2 - 10x - 60 = 0

Reduce this by dividing all four terms by 5:

x^2 - 2x - 12 = 0

Use the quadratic equation to find the roots.  The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:

(-2)^2 - 4(1)(-12)  = -44   of which 4 is a perfect square factor and 11 is not.

Because the discriminant is negative, the given equation has two unequal, complex roots, which are:

      -(-10) ± i√4√11

x = -----------------------

                10

or x = 1 ± (1/5)√11

Answer:

link is virus dont search

Step-by-step explanation:

Also, I think it's #1. Hope this helps! UwU

Answer:

Descuento= $240

Step-by-step explanation:

Dada la siguiente información:

Precio de venta (sin descuento)= $1.200

Descuento= 20%

Para calcular el descuento que le hicieron a Carlos, debemos utilizar la siguiente formula:

Descuento= precio de venta*porcentaje de descuento

Descuento= 1.200*0,2

Descuento= $240

Answer:

9n + 2.

Step-by-step explanation:

This is arithmetic with common difference d = 9.

nth term = a1 + d(n - 1)     (a1 = 11) 11 + 9n - 9

= 11 + 9(n - 1)

= 9n + 2.

Answer:

x=20

Step-by-step explanation:

3x+80+2x=180(being linear pair)

5x=180-80

x=100/5

x=20

3x=3*x  =3*20  =60

2x=2*x  =2*20  =40

Answer:

x =±2 sqrt(6)

Step-by-step explanation:

x^2 = 24

Take the square root of each side

sqrt(x^2) = sqrt(24)

x = ±sqrt(4*6)

x =±sqrt(4) sqrt(6)

x =±2 sqrt(6)

Answer:

no x² + 5x + c is a perfect square

Step-by-step explanation:

Answer:

since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381

Step-by-step explanation:

A=14πd2=14 · π · 222 ≈ 381

i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

Area of a parallelogram = base × height

The area of the parallelogram

= 2.7 × 1.2

= 3.24 m²

2.

Try to divide the figure into 2 rectangles and find their areas.

The area of the larger rectangle

= 6 × (20-6)

= 84 cm²

The area of the smaller rectangle

= 12 × 6

= 72 cm²

The total area of the figure

= 84 + 72

= 156 cm²

Answer:

C) 3.24m^2

C) 156 cm^2

Step-by-step explanation:

The area of a parallelogram is base * height.

The base is 2.7m, while the height is 1.2m.

2.7*1.2 = 3.24m^2.

We can envision the area of the figure to be a rectangle with another rectangle cut out of it.

The total rectangle's area is 20*12, which equals 240cm^2.

The smaller rectangle's width would be 12 - 6, which is 6. The length would be 20 - 6, which is 14. 6 * 14 = 84.

Now we just have to subtract 84. from 240, which is simple. 240-84=156.

The answer is 156cm^2.

Answer:

82 minutes

102 minutes with breaks

Step-by-step explanation:

So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.

Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French

Answer:

1/4 or 5/20

Step-by-step explanation:

You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.

Answer:

B

Step-by-step explanation: