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harina [27]
3 years ago
14

Fifteen times the square of a non-zero number is equal to 20 times number.What is the number? Its not 4/3

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
The number is (2√3) / 3

To find the missing number, convert what it says in words to an equation:
15 {x}^{2}  = 20x
Divide both sides by 15:
{x}^{2}  =  \frac{20}{15}   \\  \\  {x}^{2}  =  \frac{4}{3}
Take the square root:
x =  \sqrt{ \frac{4}{3} }  \\  \\ x =  \frac{2}{ \sqrt{3} }  \\  \\ x =  \frac{2 \sqrt{3} }{3}
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Jessa bought 15 pieces of ribbon. Each piece of ribbon was 2.25 yards long. What is the total amount of ribbon Jessa bought? ent
algol [13]
Hello,

15 pieces of ribbon, each is 2.25 yards long.
15 x 2.25 = 33.75 yards of ribbon.

Hope this helped!

3 0
4 years ago
Read 2 more answers
What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120
dem82 [27]

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

Remember that the area of complete circle subtends a central angle of 360°

so

using proportion

Find the area of a sector formed by a central angle that measures 120°

81π/360°=x/120°

x=120°*81π/360°

x=27π cm²

5 0
3 years ago
9/20 - 1/4 <br> Add or subtract. Write each sum or difference in simplest form. HELP!
Fynjy0 [20]
I just divided 9 by 20 and 1 by 4 then subtract 0.45-0.25 = 0.2
6 0
3 years ago
Find the value of y so that the points (-5,10) and (3,y) lie on a line with slope -3/8.
shtirl [24]

Answer:

y = 7

Step-by-step explanation:

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 5, 10) and (x₂, y₂ ) = (3, y)

m = \frac{y-10}{3+5} = \frac{y-10}{8}

For this to equal - \frac{3}{8}

since the denominators are equal, equate the numerators

y - 10 = - 3 ( add 10 to both sides )

y = 7


8 0
4 years ago
The vector parametric equation for the line through the points (−1,−4,2) and (−1,0,−3) is:_______
ollegr [7]

Answer: x(t)=-1

y(t)=-4+4(t)

z(t)=2-5(t)

Step-by-step explanation:

To find: The vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3).

Let A (−1,−4,2) and B(−1,0,−3)

First we find direction vectors : \overrightarrow{AB}=

Now, the parametric equations of the line:

x(t)=-1+0(t)

y(t)=-4+4(t)

z(t)=2-5(t)

Hence, the vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3):

x(t)=-1

y(t)=-4+4(t)

z(t)=2-5(t)

5 0
4 years ago
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