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docker41 [41]
2 years ago
8

27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.

Mathematics
2 answers:
puteri [66]2 years ago
8 0
The ratio 4:5> 4x+ 5x=35> 9x=35> x=3.8 and then you do (3.8)3.8=14.7. Therefore there is not a correct answer.
polet [3.4K]2 years ago
7 0

Answer:

x= 16 ft.

Step-by-step explanation:

Let 'x' and 'y' are the lengths of the two pieces then:

1.) x + y = 36

2.) x : y = 4 : 5 cross multiply

3.) 5x = 4y

by solving the system of equations

x + y = 36

5x = 4y

we find

x = 16 ft

y = 20 ft

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Please help with these quick
drek231 [11]
To determine whether 10a-10c are true or false, you first need to know how to find the volume of the shoebox and the volume of the crate.

The equation for volume is l × w × h where l is the length, w is the width, and h is the height.

So, the volume of the shoebox is

V = l × w × h
V = 12 × 6 × 4
V = 288 cubic inches.

To find the volume of the crate, we simply multiply the volume of one shoebox by 20, as the crate holds 20 shoeboxes.

228 × 20 = 4560 cubic inches.

10a. Each shoebox has a volume of 22 cubic inches. <span>False. The volume is 228 cubic inches.

</span>10b. Each crate has a volume of about 440 cubic inches. <span>False. The volume of each crate is 4560 cubic inches.</span><span>

</span>10c. If the crate could hold 27 shoeboxes, the volume of the crate would be about 7,776 cubic inches.

For this one, let's do some more math. Since we figured out the volume of a crate holding 20 shoeboxes is 4560 cubic inches, let's do the same thing to find the volume of a crate holding 27 shoeboxes.

228 × 27 = 6156 cubic inches.

<span>False. The volume of a crate holding 27 shoeboxes would be 6156 cubic inches.

</span>11 part A:

Each term above describes the term below, but the term below doesn't necessarily describe the term above.

The choice of terms is : <span>trapezoid</span>, <span>triangle</span>, <span>rhombus</span>, <span>parallelogram</span>

Before we do anything else, let's define our terms, as well as the ones used in the diagram.

Trapezoid - A four sided shape with a pair opposite parallel sides.<span>
Triangle - </span>A shape with three sides.<span>
Rhombus - </span>A shape with four equal straight sides<span>.
Parallelogram - </span>A quadrilateral with two sets of parallel sides.<span>
Quadrilateral - </span>A four-sided shape with four angles.<span>
Square - </span>A four-sided shape with all four sides the same length, and all four angles are the same size.

The first term is quadrilateral. From this, we can determine that the term <span>triangle</span> won't be used at all, as it's a three-sided figure, whereas a <span>quadrilateral</span> is a four-sided figure. This leaves <span>trapezoid, rhombus, </span>and <span>parallelogram </span>as our terms.

A <span>trapezoid </span>is a <span>quadrilateral</span>, because it has four sides, but it can't be a <span>rhombus </span>or <span>parallelogram</span>, so it goes in the first open box.

A parallelogram is a trapezoid, because it has a pair of opposite parallel sides, but it can't be a rhombus, because it doesn't necessarily have all equal sides, so it goes in the second open box.

A rhombus is a parallelogram, because it has two sets of parallel sides, and goes in the third open box.

So, from top box to bottom box, the order the term go is
Quadrilateral
Trapezoid
Parallelogram
Rhombus
Square

3 0
3 years ago
Hello can someone please help me (with explanation ) how to do this <br><br> thank you.............
tigry1 [53]

Answer:

A 24 because half of 12 is 6 then 6 x 4 is 24

B 90÷3 is 30 which is 2/3 of 45

Hope this helps you

6 0
2 years ago
Mr. pham wrote the equation below on the board.
valkas [14]

18 - 7x = -20.5

Subtract 18 from each side:

-7x = -38.5

Divide both sides by -7:

x = -38.5 / -7

x = -5.5 = 5 1/2

The answer is D.

7 0
3 years ago
Read 2 more answers
You draw two cards at random from a standard deck. What is the probability of drawing at least one diamond?
hodyreva [135]
Well there are 52 cards in a deck. There are 13 of each kind of card. So 13/52 are diamonds
7 0
3 years ago
Pleas help with what I just recently posted
Delvig [45]

Answer:

Circumference is 18.84 feet. Area is 28.26 square feet.

Step-by-step explanation:

Given:

Radius of the circle, r=3\textrm{ ft}

The value of \pi is 3.14.

Now, circumference of a circle of radius r=3 is given as:

Circumference=2\pi r=2\times 3.14\times 3=18.84\textrm{ ft}

Also, area of the circle of radius r=3 is given as:

Area=\pi r^{2}=3.14\times (3)^{2}=3.14\times 3\times 3=28.26\textrm{ }ft^{2}

Therefore, the circumference of the circle is 18.84 feet and area of the circle is 28.26 square feet.

5 0
3 years ago
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