Harry’s dog weighs 2 7/8 pounds what is his weight in decimal form

11 / 16 = p + 4 / 12

butalik [34]

Answer:

p = 17/48 or 0.354

Step-by-step explanation:

11/16 = p + 4/12

subtract 4/12 from both sides

11/16 - 4/12 = p

convert so you have a common denominator

3(11/16) - 4(4/12)

33/48 - 16/48

= 17/48

p = 0.354

8 0

3 years ago

Which is the equation of a circle that has a center of (-1, 3) and passes through the point (3, 6)?

tatiyna

Answer:

( x + 1)^2 + ( y - 3)^2 = 25

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( a , b) - center of the circle

( x , y) - any point on the circle

r^2 - radius

( -1 , 3) - ( center) - ( a, b)

a = -1

b = 3

( 3 , 6) - ( point) - ( x, y)

x = 3

y = 6

Step 1: substitute the center into the equation

( x -(-1)^2 + ( y - 3)^2 = r^2

( x + 1)^2 + ( y - 3)^2 = r^2

Step 2: sub the point into the equation

( x + 1)^2 + (y - 3)^2 = r^2

( 3 + 1)^2 + ( 6 - 3)^2 = r^2

4^2 + 3^2 = r^2

16 + 9 = r^2

25 = r^2

Step 3: sub the radius into the equation

( x + 1)^2 + ( y - 3)^2 = r^2

( x + 1)^2 + (y - 3)^2 = 25

Therefore, the equation of the circle is

( x + 1)^2 + (y - 3)^2 = 25

6 0

3 years ago

Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of t

Degger [83]

Answer:

$t \ge h$ and $t + 0.5h \le 12.0$

Step-by-step explanation:

Given

$t= thickness$

$h =height$

From the first statement, we have that:

$t\ mm \ge 0.1 * h\ cm$

Convert mm to cm

$t\ * 0.1*cm \ge 0.1 * h\ cm$

$t\ *0.1 \ge 0.1 * h$

Divide both sides by 0.1

$t \ge h$

From the second statement, we have that:

$Cost \le 12.2$

Substitute 0.2 + t + 0.5h for Cost

$0.2 + t + 0.5h \le 12.2$

Collect Like Terms:

$t + 0.5h \le 12.2-0.2$

$t + 0.5h \le 12.0$

So, the inequalities are:

$t \ge h$ and $t + 0.5h \le 12.0$

8 0

3 years ago

28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. the water level rises to the 49.10 mL mark. F

Alika [10]

Density=mass/volume.
1) we have to calculate the iron volume in liters.
iron volume=second level - first level=49.10 ml-45.50 ml=3.6 ml
3.6 ml=3.6 ml(1 liter / 1000 ml)=0.0036 liters

2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L

7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.

answer: From this information the Iron density is 7.92 Kg/L or 7.92 g/cm³.

5 0

4 years ago

(It’s a 6 not a 5)<br> A-dot 1<br> B-dot 2<br> C-dot 3<br> D-dot 4

Taya2010 [7]

A- dot 1 . that’s the answer but it’s making me type 20 words.

8 0

3 years ago