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3 years ago

What is 1 and 3/4 as a mixed number

Mathematics

2 answers:

vazorg [7]3 years ago

4 0

The answer is 7/4 ,

Wittaler [7]3 years ago

3 0

7/4 I believe

Gr8 Day M8

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a cookie baker has an automatic mixer that turns out a sheet of dough in the shape of a square 12 inches wide. His cookie cutter

iragen [17]

Answer:

All the sizes that satisfy $kd^2 =144$

Step-by-step explanation:

To answer this question we first need to find the minimum wasted area of the dough.

Let us call the diameter of the cookie $d$ , and $a$ the length of the dough sheet, then the $n$ number of cookies that fit into length $a$ will be

$n = \dfrac{a}{d}$

and therefore, the number that will fit into the whole square sheet will be

$n^2 = \dfrac{a^2}{d^2}$

Since the area of each cookie is

$A = \pi \frac{d^2}{4}$

the area of n^2 cookies will be

$A_n = n^2\pi \frac{d^2}{4}$ ,

which is the area of all the cookies cut out from the dough sheet; therefore, after the cutting, the area left will be

(1). $\text{area left}= a^2-n^2\pi \frac{d^2}{4}$

putting in the value of $n^2$ we get

$a^2- \dfrac{a^2}{d^2}\pi \frac{d^2}{4}$

which simplifies to

area left = a^2( 1 - (π/4))

putting in a = 12 we get

area left = 30.902 in^2.

Going back to equation (1) we find that

a^2-n^2(πd^2/4) =30.902

12^2- n^2(πd^2/4) =30.902

and if we call k = n^2, we get

12^2- k(πd^2/4) =30.902

113.098 = k(πd^2/4)

simplifiying this gives

kd^2 = 144.

As a reminder, k here is the number of cookies cut from the dough sheet.

Hence, our cookie diameter must satisfy kd^2 = 144,<em> meaning larger the diameter of the cookies less of the should you cut out to satisfy the above equality. </em>

8 0

4 years ago

Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 +

sashaice [31]

Answer:

Lower limit of the sum: 0

Upper limit of the sum: 17

Explicit formula: ∑ $_{i=0} ^{17}$ (3+7i)

Step-by-step explanation:

Noting that each row has 7 more beads than the previous one and that the series also begins with 3, the formula is:

∑ $_{i=0} ^{17}$ (3+7i)

The lower limit is 0, since 3+ (7 * 0) = 3

When i = 0 you get the value of beads from the first row, when i = 1 you get the value of beads from the second row and so on. Given this, the upper limit is 17.

8 0

3 years ago

Write three equivalent ratios for 4/3

weqwewe [10]

4 to 3
4:3
4/3
ratios can be explained in only 3 ways: with the word to, with a colon (:), and with a fraction bar (/)

5 0

3 years ago

Read 2 more answers

A passenger jet flies at an average speed of 548 miles per hour. At that speed, how many miles does the plane travel in 4 hours?

marishachu [46]

The plane travels 2192 miles.

You’re multiplying 548 x 4 because the plane travels 548 an hour.

4 0

3 years ago

Bill invests $3000 in a bound fund with an interest rate of 9% per year. If bill does not withdraw any money, in how many years

GenaCL600 [577]

Answer:

around 5.93 years

Step-by-step explanation:

A=P(1 + r/n)^n(t)

5000=3000(1 + .09/1)^1(t)

6 0

3 years ago