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Andrews [41]
3 years ago
5

Pls help mee at thissss :( Write a direct variation equation that relates 16 and 2

Mathematics
2 answers:
shusha [124]3 years ago
5 0

Answer:

16 = 2x

Step-by-step explanation:

The pattern for a direct variation equation is y = kx

y is the "output" or result

k is the "constant" a number that doesn't change in the equation.

x is the "unknown" variable that makes the output of the equation true when found.

Here x=8

16 = 2(8)

nlexa [21]3 years ago
5 0

Answer:

16 = 2x

Step-by-step explanation:

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If a and b are the zeros of the quadratic polynomial 4x2+4x+1, find the value of a/b+b/a?
kow [346]

Answer:

2

Step-by-step explanation:

First you need to factor your quadratic equation. You'll get (2x+1)(2x+1). Your two zeroes will be -1/2 and -1/2 with one being a, the other b. So then

a/b = (-1/2)/(-1/2)

and

b/a = (-1/2)/(-1/2)

Both reduce to 1. So a/b + b/a is 1+1=2

7 0
3 years ago
For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
user100 [1]
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\
6.8x=3.5y \\
x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\
x=y-115.5 \\ \\
x=x \\
\frac{35}{68}y=y-115.5 \\
\frac{35}{68}y-y=-115.5 \\
\frac{35}{68}y-\frac{68}{68}y=-115.5 \\
-\frac{33}{68}y=-115.5 \\
y=-115.5 \times (-\frac{68}{33}) \\
y=238 \\ \\
x=y-115.5=238-115.5=122.5 \\ \\
x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
6 0
4 years ago
The lines shown below are parallel. if the green line has a slope of -1/11, what is the slope of the red line?
Readme [11.4K]
Lines are parallel so they have same slopes
<span> if the green line has a slope of -1/11, the slope of the red line is also -1/11
answer is 
</span><span>a)-1/11</span>
7 0
4 years ago
Read 2 more answers
Triangle ABC and triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to
Marianna [84]

Answer:

C.

(6 - 3)/(-3 - (-1))

(3 - (-3))/(-1 - 3)= 6/(-4)

Step-by-step explanation:

Slope AC = (y(A) - y(C))/(x(A) - x(C)) = (6 - 3)/(-3 - (-1)) = 3/(-2)

Slope CE = (y(C) - y(E))/(x(C) - x(E)) = (3 - (-3))/(-1 - 3)= 6/(-4) = 3/(- 2)

4 0
3 years ago
Read 2 more answers
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft
Yuri [45]

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

  • the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
  • the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

Learn more with this similar problems:

<u>brainly.com/question/13962136</u>

<u>brainly.com/question/7171617</u>

8 0
3 years ago
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