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4 years ago

Express each ratio as a fraction in lowest terms

Mathematics

1 answer:

VladimirAG [237]4 years ago

7 0

1/9
2/1
i am working on the last one but i hope i helped

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Please help I give brainliest

Vika [28.1K]

Hope this helps u out :D

Answer:

The GCF is 3w

Step-by-step explanation:

You have to find the GCF of

6w^3, 3w^2, 9w

You can start with 3. Then get:

6w^3/3 = 2w^3

3w^2/3 = w^2

9w/3 = 3w

The following factor is w. It has to have an exponent of one, as it the smallest exponent present in the 3 numbers:

2w^3/w = 2w

w^2/w = w

3w/w = 3

Expression:

6w^3 - 3w^2 - 9w= 3w(2w^2 - w - 3)

The GCF is 3w.

4 0

3 years ago

What percent of 45 is 9?

vredina [299]

The answer would be 4.49%

4 0

3 years ago

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Jenny bought 4.35kg of

gayaneshka [121]

Answer:

0.15

Step-by-step explanation:

0.35x12=4.2 and there is 4.35 total kgs

7 0

4 years ago

Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2 comma 0

SVETLANKA909090 [29]

Answer:

The volume of the tetrahedron is:

$\frac{50}{3}=16.667$

Step-by-step explanation:

The volume of the tetrahedron is given by the intersection of the planes x = 0, y = 0, z = 0 and the plane formed by the three points given.

The equation of the plane formed by the three points is:

Points: (2,0,0);(0,5,0);(0,0,4)

$\pi :\frac{x}{2} +\frac{y}{5} +\frac{z}{4} =1$

It can also be expressed as:

$10x + 4y+5z=20$

We have to calculate the triple integral, therefore we must define the domain:

The values of x are given by:

0≤x≤2

We will integrate the values of y between the y = 0 axis and the line formed when z = 0:

z=0 ⇒ 10x + 4y=2 ⇒ $y=\frac{20-10x}{4} =$

$0\leq y \leq 5-\frac{5}{2}x$

We will integrate the values of z between the plane z = 0 and the plane 10x + 4y+5z=20

10x + 4y+5z=20 ⇒ $z=\frac{20-10x-4y}{5} =4-2x-\frac{4}{5}y$

$0\leq z \leq 4-2x-\frac{4}{5}y$

The volume of the tetrahedron is:

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \ \ \ \int\limits^{4-2x-\frac{4}{5}y }_{0} {z} \, dz\, dy \,dx$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \frac{z^2}{2}|^{4-2x-\frac{4}{5}y}_0\, dy \,dx$

$\frac{z^2}{2}|^{z=4-2x-\frac{4}{5}y}_{z=0}=\frac{5}{25}(5x+2(y-5))^2$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} {\frac{5}{25}(5x+2(y-5))^2}\, dy \,dx$

$\int\limits^{2}_{0} {-\frac{25}{6}(x-2)^3} dx=-\frac{25}{24} (x-2)^4|^{2}_{0}=\frac{50}{3}$

6 0

4 years ago

The 7 grade student at palm coast muddle school made some apple pies for a bake sale . the school cafeteria also donated 9 pies

Reil [10]

Answer:

The students baked 19 pies.

Step-by-step explanation:

Least total pieces of pies sold = 224

Number of pies donated by school cafeteria = 9

Number of pieces of pies donated by school cafeteria = 9×8 = 72

Number of pieces of pies baked = 224 - 72 = 152

Number of pies baked = 152 ÷ 8 = 192

4 0

4 years ago

Read 2 more answers