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il63 [147K]
3 years ago
12

The equation y=1/9x relates proportional quantities x and y.

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

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Today the entire school 250 students went to the soap box derby the math club went in 2 vans and each van held 6 students how ma
const2013 [10]

Answer:

12 students from math club

Step-by-step explanation:

Number of vans = 2

Number of students in each van = 6

Number of students who went from math club to the soap box = ?

You can apply the following expression:

Total  number of students=Number of students per van * Number of vans

Total  number of students= 6 *2

= 12 students from math club....

3 0
3 years ago
Please help with question A and show work!! thank you
Digiron [165]
The equation for the line of reflection is x = 2. 
If you drew a vertical line crossing the x-axis on x = 2, the drawing will be the same on the left and right side, as if one side was drawn then exactly copied on the other side but flipped. 
The figure is symmetrical, and x = 2 is the line of symmetry. 
Hope this helps!
8 0
3 years ago
In a line of students, Jenna is number 8.The teacher says that a rule for a number pattern is add 4. The first student inline sa
Virty [35]

Answer:

Formula for nth term in Arithmetic sequences is:

a_n =a+(n-1)d

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

a= 7

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, .........a_8

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35

Therefore, 35 number should Jenna say.

3 0
3 years ago
Read 2 more answers
13. What is a simpler form of each product?
saul85 [17]
13. (a-b)^2=a^2-2ab+b^2
   B is the answer
14. B is the answer
     ( x+9)(x-3)= x^2+6x-27
15. B is the answer
    (x+6)(x-5)=x^2+x-30
16. D is the answer
  (x-6y)(x-4y)=x^2-10xy+24y^2
17. C is the answer
(2x+5)(3x-4)=6x^2+7x-20
18. B is the answer
(5x+7)(x-2)=5x^2-3x-14

7 0
4 years ago
The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c
Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 \rm{in^3}

Step-by-step explanation:

The linearization or linear approximation of a function f(x) is given by:

f(x_0+dx) \approx f(x_0) + df(x)|_{x_0} where df is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh

Taking R_0=1.5 inches and h=3 inches and evaluating the partial derivatives we obtain:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh

substituting the values and taking dx=0.1 and dh=0.3 inches we have:

V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3}  + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}

Therefore the change in volume is estimated to be 17.20 \rm{in^3}

4 0
3 years ago
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