Pearl bought 45 lbs of clay for her art projects. She used 15.8 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Pearl make if she had 17.68 lbs of clay left over?

Answer:

Step-by-step explanation:

The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.

Given is a quadratic equation,

3x² + 9x - 2 = 0

Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a

Here a = 3, b = 9 and c = -2.

Substituting the values,

x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)

  = [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6

  =  [-9 ± √105 ] / 6

So the roots are [-9 ± √105 ] / 6.

Learn more about Roots of Quadratic Equations here :

https://brainly.com/question/26926523

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Answer:

3 : 7 : 5

Step-by-step explanation:

Given

12 : 28 : 20 ← divide each part by 4 ( the LCM of 12, 28, 20 )

= 3 : 7 : 5

Answer:

Step-by-step explanation:

[tex]28y^{7} *x^{4} *u^{3} \\8x^{4} *u^{5}[/tex]

rewrite those 2 terms to better see what they have in common

[tex]4*7 *x^{4} *u^{3} *y^{7} \\4*2*x^{4}*u^{3} *u^{2}[/tex]

because, 4*7 =28, 4*2=8, u³*u² =u^5, and multiplication is commutative

The greatest common factor is:

[tex]4x^{4} u^{3}[/tex]

Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

Answer:

28

Step-by-step explanation:

Answer:

0.88

Step-by-step explanation:

We would consider the first case second column....

So 14/16 will be the probability that comes out be approximately 0.88.

Answer:

D

Step-by-step explanation:

Answer:

1. 345,600 seconds

2. 432,000 seconds

3. 1 day

4. 7500 meters

Hope that this helps!

Answer:

4 days=345600sec

5 days=432000

86400=24 hours

7.5km = 4.6miles

Step-by-step explanation:

60sec * 60= 1hour * 24 * 4=4 days  if one day = 86400 sec than 4 days is 345600 and we know one day is 86400 seconds so just add that for one day

to convers km to mils you multiply the km value by .6214

Answer:

70%

Step-by-step explanation:

He should round the percentage to the nearest 10 which will give him a more reasonable prediction. Hope this helps!

Answer:

C. every rhombus is a parallelogram

Answer:

every rhombus is also a parallelogram....

Answer:

A(-1,1) B(-3,2) C(-3,4) D(-1,5)

Step-by-step explanation:

when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

20² - 16² = x²

400 - 256 = x

400 - 256 = 144

√144 = 12

Answer:

8.06

Step-by-step explanation:

Answer:

$30.92

Step-by-step explanation:

Answer:

$23 I hope this helps :)

Step-by-step explanation:

Answer:

14.13 units

Step-by-step explanation:

Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.

Answer:

Step-by-step explanation:

1 = 1/16 (one chance on 16

2 = 7/16 (the non shaded parts are 7, while the total parts are 16)

3 = 11/16 ( 11 is unshaded + even)

4 = 4/16 = 1/4 (the favourable possibilities are: 13, 14, 15, 16)

So you basically get 104% of your Savings Account every two months for Plan A.

Plan B makes it 110% of your Savings Account every 6 months. Now we just calculate it...I'm sure your allowed a calculator, so just do 110% of it till 5 years.

If you still don't understand I can explain it more.

Answer:

AC = 15.6

Step-by-step explanation:

AC = AE + EC

By he Pythagorean theorem,

A² + B² = C²

12² + 5² = AE²

144 + 25 = AE²

AE = √169

AE = 13

Find Angle AED

tan Angle AED = 12/5

Angle AED = tan-1 (12/5)

= 67.38°

Angle AED = Angle BEC

tan (67.38°) = BC/1

BC = 2.4

1² + 2.4² = EC²

6.76 = EC²

EC = √6.76

EC = 2.6

AC = 13 + 2.6

AC = 15.6

Answer:

Step-by-step explanation:

scale factor=3/2

(8,6)

(12,6)

(12,10)

use formula

(x,y)=(kx,ky)  (k means scale factor)

(8,6)=(3/2*8 , 3/*6)

=(24/2 , 18/2)

=(12 , 9)

(12,6)=(3/2*12 , 3/2*6)

=(36/2 , 18/2)

=(18 , 9)

(12,10)=(3/2*12 , 3/2*10)

=(36/2 , 30/2)

=(18 , 15)

Answer:

18 ,15

Step-by-step explanation:

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kkeje

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Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6

Answer:

x = 7

Step-by-step explanation:

2x - 3 = x +4

x = 7

Answer:

20

Step-by-step explanation:

Answer:

-true

Step-by-step explanation:

I'm correct if I'm rwong

Answer:

Step-by-step explanation:

(1/2)*x+4=-8

x+4/2=-8

x+4=-8*2

x+4=-16

x=-16-4

x=-20

Answer:

x = -20

Step-by-step explanation:

1/2(x + 4) = -8

1/2x + 2 = -8

1/2x = -10

x = -10(2)

x = -20

Hope this helps!

Answer:

Hello! answer: 48

Step-by-step explanation:

3 × 19 - 9 = 48

7 × 19 - 1 = 132

48 + 132 = 180 so... 48 is the measure of ABC

Answer:

C.) 48

Step-by-step explanation:

I seem like it's multiple choice, I don't think you really need an explanation

Answer:

Step-by-step explanation:

Range is y thing, where as domain is an x thing. The way you state a range (or a domain, for that matter) is to start from the low point on the graph and go up to the high point. Our graph doesn't have a starting point; therefore, the "low" end of the graph comes up from -∞. The high point on the graph maxes out at 3. Therefore, the proper way to state the range (depending upon whether you use set-builder or not) is

R = (-∞, 3] or another way to state this is

R = {y | y ≤ 3} which reads "y such that y is less than or equal to 3".

Answer: [tex]3^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature on Monday was [tex]-5^{\circ}C[/tex]

By Tuesday, it becomes [tex]-2^{\circ}C[/tex]

Change in temperature is the difference between the two temperatures.

[tex]\Rightarrow \Delta T=-2-(-5)\\\Rightarrow \Delta T=-2+5\\\Rightarrow \Delta T=3^{\circ}C[/tex]

Therefore, the change in temperature is [tex]3^{\circ}C[/tex].

Answer:

Odd

Step-by-step explanation: