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3 years ago

Generate a number that has a digit in the hundred thousand place that is 10 times the digit in the ten thousands place.

Mathematics

1 answer:

baherus [9]3 years ago

3 0

Answer:

1000000

ten thousands place : 0

hundred thousands place : 10 x 0 = 0

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Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

sattari [20]

Answer:

Solutions: (2,10), (4,5)

Not solutions: (1,12), (6,10), (12,8), (18,6)

Step-by-step explanation:

Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.

1. Tyler has $36, then

$x+3y\le 36.$

2. Tyler can carry up to 20 pounds of food in his backpack, then

$x+1.5y\le 20.$

You get the following system of inequalities:

$\left\{\begin{array}{l}x+3y\le 36\\ x+1.5y\le 20\end{array}\right.$

Now substitute the coordinates of each point:

(1,12):

$\left\{\begin{array}{l}1+3\cdot 12=37> 36\\ 1+1.5\cdot 12=19\le 20\end{array}\right.$

False, because first inequality doesn't hold.

(2,10):

$\left\{\begin{array}{l}2+3\cdot 10=32\le 36\\ 2+1.5\cdot 10=17\le 20\end{array}\right.$

True, both inequalities hold.

(4,5):

$\left\{\begin{array}{l}4+3\cdot 5=19\le 36\\ 4+1.5\cdot 5=11.5\le 20\end{array}\right.$

True, both inequalities hold.

(6,10):

$\left\{\begin{array}{l}6+3\cdot 10=36\le 36\\ 6+1.5\cdot 10=21> 20\end{array}\right.$

False, because secondt inequality doesn't hold.

(12,8):

$\left\{\begin{array}{l}12+3\cdot 8=36\le 36\\ 12+1.5\cdot 8=24> 20\end{array}\right.$

False, because second inequality doesn't hold.

(18,6):

$\left\{\begin{array}{l}18+3\cdot 6=36\le 36\\ 18+1.5\cdot 6=27> 20\end{array}\right.$

False, because second inequality doesn't hold.

7 0

3 years ago

Abdul ordered some books online and spent a total of $133. Each book cost $8 and he paid a total of $5 for shipping. How many bo

Vsevolod [243]

Answer:

8x+5=133

8x=128

x=16

Step-by-step explanation:

16 books

8 0

3 years ago

Read 2 more answers

What is the perimeter of a parallelogram, if it's area is 36 cm^2 and the distances between the point of intersection of the dia

IgorC [24]

Answer:

The perimeter of a parallelogram is 30cm.

Step-by-step explanation:

From the question , the given area of a parallelogram is 36 cm².

But the area of a parallelogram can be calculated using below formula

Area = base * height

From the question the distances that exist between the point of intersection of the diagonals and the sides are 2cm and 3cm respectively

There is the same distance between point of intersection of the diagonals and the opposite sides then,

The base of the side with 4cm can be calculated as

ha= 2+ 2= 4cm

But area can be calculated as A= base × height

36= b1 × h1

36=b1 × 4

b1= 9cm

The base of the other side can be calculated with 6cm height

h2= 3+3=6cm

A= b2× h2

36= b2 ×h2

36= b2× 6

b2= 6cm

Then the perimeter of the parallelogram can be calculated as

P= 2(b1 + b2)

= 2(6+9)

= 30cm

Hence,the perimeter of the parallelogram is 30cm

4 0

3 years ago

What is the percentage increase for a population that is changed from 438000 561000

tatiyna

Answer:

abillion

Step-by-step explanation:

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3 0

3 years ago

00:00:05

Taya2010 [7]

26 maybe it can be ım not sure

8 0

3 years ago