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4 years ago

What is the unit rate for 1 box and 30 pounds

Mathematics

1 answer:

Ksivusya [100]4 years ago

7 0

Set up the equation.

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 30.

1/30

Divide 30 on each side of 1/30

0.033333 box / 1 pound

Therefore you have 0.033333 box per one pound.

Thanks for usinm Brainly :)

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When 2(3/5x+2 3/4y-1/4x-1 1/2y+3) is simplified, what is the resulting expression?

erik [133]

Answer:

Option B is correct.

Step-by-step explanation:

$2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)$

We need to solve the above expression.

First Convert Mix fraction into improper fraction

$2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)\\=2(\frac{3}{5}x+ \frac{11}{4}y-\frac{1}{4}x-\frac{3}{2}y+3)$

Combining the like terms

$=2(\frac{3}{5}x-\frac{1}{4}x+ \frac{11}{4}y-\frac{3}{2}y+3)$

Solving like terms

$=2(\frac{3x*4-5x}{20}+ \frac{11y-3y*2}{4}+3)\\=2(\frac{12x-5x}{20}+ \frac{11y-6y}{4}+3)\\=2(\frac{7x}{20}+ \frac{5y}{4}+3)$

Multiply each term with 2

$=2*\frac{7x}{20}+ 2*\frac{5y}{4}+2*3\\=\frac{7x}{10}+ \frac{5y}{2}+6$

$=\frac{7x}{10}+ 2\frac{1}{2}y+6$

So, Option B is correct.

4 0

3 years ago

An irregular shape that can be split into familiar shapes such as rectangles, triangles, and circles is called a _____ figure.

Tema [17]

Answer:

A Composite figure

Step-by-step explanation:

An irregular shape that can be split into familiar shapes such as rectangle, triangles and circles is called a Composite figure.

A Composite figure may easily split into the familiar shapes such as triangles, rectangles and circles in order to find the area of these shapes.

Thus, area of such figures can be easily found out by a composite figure.

8 0

3 years ago

Solve the problem. Find the surface area of a right regular hexagonal pyramid with sides 2 cm and slant height 5 cm. Round youra

BabaBlast [244]

Answer:

The surface area of the right regular hexagonal pyramid is 50.78 cm².

Step-by-step explanation:

Given:

A right regular hexagonal pyramid with sides(s) 2 cm and slant height(h) 5 cm.

Now, to find the surface area(SA) of the right regular hexagonal pyramid.

So, we find the area of the base(b) first:

Area of the base = $\sqrt[3]{3}\times s^{2}$

= $\sqrt[3]{3}\times 2^{2}$

On solving we get:

Area of the base(b) = $20.784$

Then, we find the perimeter(p) :

Perimeter = s × 6

$p=2\times 6=12$

Now, putting the formula for getting the surface area:

Surface area = perimeter × height/2 + Area of the base.

$SA=\frac{p\times h}{2}+b$

$SA=\frac{12\times 5}{2}+20.784$

$SA=30+20.784$

$SA=50.784$

As, <em>the surface area is 50.784 and rounding to nearest hundredth becomes 50.78 because in hundredth place it is 8 and in thousandth place it is 4 so rounding to it become 50.78.</em>

Therefore, the surface area of the right regular hexagonal pyramid is 50.78 cm².

5 0

3 years ago

How do I find what x is in this equation.<br> 1 2/5x =7 <br> What is x?

Alika [10]

If you would like to solve the equation 1 2/5 * x = 7, you can calculate this using the following steps:

1 2/5 * x = 7
7/5 * x = 7 /*5/7
x = 7 * 5/7
x = 5

The correct result would be 5.

3 0

4 years ago

Read 2 more answers

if fifty cents is divided equally among three friends there will be some cents left how many cents will be left

HACTEHA [7]

Greetings!

This can be solved by dividing 50 by 3 (the amount of friends, you're spiting the money with.)

50/3=16.6667

We have to round down in order to get a whole number: 16

16*3=48
50-48=2

If 50 cents is divided equally among three friends, each would get 16 cents and there would be 2 cents left over.

Hope this helps.
-Benjamin

5 0

4 years ago

What is the unit rate for 1 box and 30 pounds​

What is the unit rate for 1 box and 30 pounds