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RUDIKE [14]
2 years ago
15

Lily buys 378 crystals for 6 dollars, What is the cost of 109 crystals?

Mathematics
1 answer:
miskamm [114]2 years ago
3 0
About $1.73. Since 378 cost six dollars, The price of one equates to be about 0.0158. Using this knowledge, we can multiply by 109 to get roughly 1.7301
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Rudik [331]
N equals to 7.82 (to 2 decimal places)

5 0
4 years ago
Read 2 more answers
What is the center and radius of the circle?<br> (x-3)2 + y² = 4
Kipish [7]

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle:  \sf (x-h)^2+(y-k)^2=r^2

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

Given equation:

\sf (x-3)^2+y^2=4

Rewrite in standard form:

\sf \implies (x-3)^2+(y-0)^2=2^2

Therefore

  • center = (3, 0)
  • radius = 2
4 0
2 years ago
find the volume of cubical box . if the cost of painting of outer surface is rs 1440 at the rate rs 15 per mcube
bearhunter [10]
Surface of a cubical box=6(side²)

1)We have to calculate the surface of this cubical box.
Rate=cost of painting / surface  ⇒surface=cost of painting/rate

Data:
Rate=$15/m²
cost of painting=$1440

Surface=$1440/($15/m²)=96 m²

2)We find out the length of the side:

Surface of a cubical box=6(side²)

Data:
Surface of a cubical box=96 m2

Therefore:
96m²=6 (side²)
side²=96 m²/6
side²=16 m²
side=√(16 m²)=4 m

3) We find the volume of a cubical box.
volume=(side³)
volume=(4 m)³
volume=64 m³

Answer: the volume of this cubical box would be 64 m³.

3 0
3 years ago
Each of the ten letters in ``MATHCOUNTS'' is written on its own square tile and placed in a bag. What is the probability that a
PIT_PIT [208]
step  1

First, see how many letters in MATHCOUNTS are also in TEACH.

M no

A  yes

T  yes

H yes

C yes

O  no

U no

N no

T  yes

S  no

 That is 5 out of the 10 letters.

so

<span>the probability=</span>5/10-------> 1/2 
<span>
the answer is
1/2
</span>

4 0
3 years ago
Which points lie on the line whose equation is 8x - 2y + 7 = -9? Select all that apply.
Anestetic [448]

Answer:

A.(-2, 0)

C. (-1.4)

Step-by-step explanation:

we know that

If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)

we have

8x-2y+7=-9

subtract 7 both sides

8x-2y=-9-7

8x-2y=-16

divide by 2 both sides

4x-y=-8

Substitute the value of x and the value of y of each point in the linear equation and analyze the result

<u><em>Verify each point</em></u>

case A) we have

(-2, 0)

For x=-2, y=0

substitute

4(-2)-(0)=-8

-8=-8 ---> is true

so

the point lie on the line

case B) we have

(1, 3)

For x=1, y=3

substitute

4(1)-(3)=-8

1=-8 ---> is not true

so

the point not lie on the line

case C) we have

(-1, 4)

For x=-1, y=4

substitute

4(-1)-(4)=-8

-8=-8 ---> is true

so

the point lie on the line

case D) we have

(1, -4)

For x=1, y=-4

substitute

4(1)-(-4)=-8

8=-8 ---> is not true

so

the point not lie on the line

case E) we have

(0, -1)

For x=0, y=-1

substitute

4(0)-(-1)=-8

1=-8 ---> is not true

so

the point not lie on the line

7 0
3 years ago
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