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2 years ago

a copy shot prints 5,493 pages they use the pages to make 68 same size booklets about how many pages are in each booklet

Mathematics

1 answer:

Aliun [14]2 years ago

3 0

Answer:

80 pages

Step-by-step explanation:

Given:

Number of pages printed = 5493

Number of booklets made = 68

Let each booklet use 'x' pages.

So, pages used by 68 booklets is given by unitary method and is equal to:

$=68\times x\\=68x$

Now, total number of pages are 5493.

Therefore, the pages used by the 68 booklets should be less than or equal to the total number of pages available. So,

$68x=5493\\\textrm{Dividing both sides by 68,we get:}\\x=\frac{5493}{68}=80.8\approx 80(\textrm{As number of pages can't be in decimal})$

Therefore, the number of pages in each booklet is 80.

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algol13

Answer:

$Remainder = 3$

Step-by-step explanation:

Given

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

Required

Determine the remainder

Write down the first digit i.e. 1. So, we have:

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

--------------------------------

$|\ 1$

Multiply that 1 by the divisor (1) i.e. $1 * 1 = 1$

Write down the result under the next digit i.e. (under 2)

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

$1$

--------------------------------

$|\ 1$

Sum 2 and 1 i.e $2 + 1 = 3$

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

$1$

--------------------------------

$|\ 1\ \ 3$

Multiply that 3 by the divisor (1) i.e. $1 * 3 = 3$

Write down the result under the next digit i.e. (under -3)

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

$1$ $3$

--------------------------------

$|\ 1\ \ 3$

Sum -3 and 3 i.e $-3 + 3 = 0$

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

$1$ $3$

--------------------------------

$|\ 1\ \ 3\ \ \ 0$

Multiply that 0 by the divisor (1) i.e. $1 * 0 = 0$

Write down the result under the next digit i.e. (under 3)

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

$1$ $3$ $0$

--------------------------------

$|\ 1\ \ 3\ \ \ 0$

Sum 3 and 0 i.e $3 + 0 = 3$

Since there is no other computation to do, the result of the last sum is the remainder.

So:

$Remainder = 3$

4 0

2 years ago

Match each pair of points to the equation of the line that is parallel to the line passing through the pointsB(5,2) and C(7,-5)Y

a_sh-v [17]

we will select each points and find equation of line

option-A:

points are B(5,2) and C(7,-5)

x1=5,y1=2 , x2=7 , y2=-5

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

we can plug values

$m=\frac{-5-2}{7-5}$

$m=-3.5$

we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y-2=-3.5(x-5)$

$y=\frac{-7}{2}x+\frac{39}{2}$ ...........Answer

option-B:

points are D(11,6) and E(5,9)

x1=11,y1=6 , x2=5 , y2=9

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

we can plug values

$m=\frac{9-6}{5-11}$

$m=-0.5$

we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y-6=-0.5(x-11)$

$y=\frac{-1}{2}x+\frac{23}{2}$ ...........Answer

option-C:

points are F(-7,12) and G(3,-8)

x1=-7,y1=12 , x2=3 , y2=-8

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

we can plug values

$m=\frac{-8-12}{3+7}$

$m=-2$

we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y-12=-2(x+7)$

$y=-2x-2$ ...........Answer

option-D:

points are H(4,4) and I(8,9)

x1=4,y1=4 , x2=8 , y2=9

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

we can plug values

$m=\frac{9-4}{8-4}$

$m=1.25$

we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y-4=1.25(x-4)$

$y=\frac{5}{4}x-1$ ...........Answer

option-E:

points are J(7,2) and K(-9,8)

x1=7,y1=2 , x2=-9 , y2=8

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

we can plug values

$m=\frac{8-2}{-9-7}$

$m=-\frac{3}{8}$

we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y-2=\frac{3}{8}(x-7)$

$y=\frac{3}{8}x-\frac{5}{8}$ ...........Answer

option-F:

points are L(5,-7) and M(4,-12)

x1=5,y1=-7 , x2=4 , y2=-12

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

we can plug values

$m=\frac{-12+7}{4-5}$

$m=5$

we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y+7=5(x-5)$

$y=5x-32$ ...........Answer

7 0

2 years ago

Read 2 more answers

Simplify the ratio 24/56

kakasveta [241]

The Answer Would Be 3/7
Hope This Helps :)

6 0

2 years ago

Read 2 more answers

You have 10 shirts, 4 pairs of pants, and 3 pairs of shoes. How many outfits can you create?

Inessa [10]

Answer:

120 different outfits.

Step-by-step explanation:

10x4=40

40x3=

120

3 0

2 years ago

#16 and #19 only Please answer both as soon as possible.

Vlad1618 [11]

Answer:

1. it is not a direct variation because the value k is not kept throughout the ordered pairs

2. -a^5 - 2a³ + 2a², leading coefficient is -1

Step-by-step explanation:

1. to find the direct variation, we will use y/x = k with k representing our constant throughout the chart. if every value is equal to k, it is a direct variation

for this problem we will assume that the cup sizes are x and the cost is y

so the ordered pairs are (8, 0.90), (12, 1.35), (16, 1.80), and (24, 2.25)

.90/8 = 0.1125 <-- this is our k value for which every result has to be equal to

1.35/12 = 0.1125

1.80/12 = 0.1125

2.25/24 = 0.09375

since the value k was not kept throughout the ordered pairs, this is not a direct variation

2. the standard form of a polynomial is the exponents in descending order.

we have the following polynomial: 2a² - a^5 -2a³

to write it in standard form, we will go in descending order of the exponents. the largest exponent being first

-a^5 - 2a³ + 2a²

the leading coefficient of the polynomial is -1, as there is a negative sign in front of the newly formed polynomial

4 0

2 years ago