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3 years ago

1 quart = blank pints

Mathematics

2 answers:

Alborosie3 years ago

8 0

2 pints is the answer

MAXImum [283]3 years ago

6 0

I think there are 2 pints.

                                                                 GALLON
                                        Quart                 Quart         Quart           Quart
                                   Pint     Pint          Pint Pint    Pint    Pint   Pint   Pint

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The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

2 years ago

In the diagram, what is the value of x?

Ghella [55]

Answer:

x = 162

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the interior angles of the quadrilateral and equate to 360

90 + 60 + x + 48 = 360 , that is

198 + x = 360 ( subtract 198 from both sides )

x = 162

5 0

2 years ago

Explian how you can find the number of feet in 20 yards

natka813 [3]

1 yard is = to 3 feet.
20 yards = to 20 X 3 feet
your answer is 60 feet

3 0

3 years ago

Read 2 more answers

8. Find the slope of the line passing through<br> (4,10) and (8,30)

rjkz [21]

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5 0

3 years ago

Find the height of a triangle that has an area of 54 cm2 with the width 3 cm less than its height.

iren2701 [21]

The height of a triangle is 9 cm

<h3>What is Triangle?</h3>

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

given that

let the height of the triangle be x

then the width is x-3

Area = $\frac{height \times length}{2}$

54 = x(x -3)

$54 = x^2 -3x$

x = 9

height = 9 cm

width = 6cm

Therefore, the height of a triangle is 9 cm.

To learn more about the triangle with the given link brainly.com/question/11897796

#SPJ4

8 0

1 year ago