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Elan Coil [88]
3 years ago
12

Choose the linear inequality in standard form for this situation: The Duluth High science department can spend no more than $270

0 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.
Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:

.

Step-by-step explanation:

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The question is “Mike purchased 3 DVDs and 14 video games for $203. Nick went to the same store and bought 11 DVDs and 11 video
prohojiy [21]
DVD costs $13.
The video game costs $13.

6 0
3 years ago
What is the perimeter of rhombus LMNO? 20 units 24 units 40 units 48 units
NeTakaya
The little lines on each side of the rhombus mean that all the sides are the same length.

We can set line LM and MN equal to solve for X, then we can solve the length of a side.

3x-3 = x+7

Add 3 to each side:
3x = x +10

Subtract x from each side:

2x = 10

Divide both sides by 2:
x = 10/2
x = 5

Now we have the value for x, replace x in one of the side formulas:

x +7 = 5+7 = 12

Each side = 12 units.

 The perimeter would be 12 + 12 + 12 + 12 = 48 units.



3 0
3 years ago
Read 2 more answers
Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d
Alenkasestr [34]

Answer:

1)  \frac{5}{-14}=0.3571428571 2) Terminating

Step-by-step explanation:

1st. To answer this question let's divide with long division algorithm  5 and -14.

  <u> 0.3571428571</u>

-14)50

    42

     ---

     80

     -70

      --

    100

      98

      ---

     20

     14

    ----

      60

      -56

       ---

      40

       28

      --

     120

    -112

     ----

       80

       70

       --

      100

       -98

      --  

       2

5 (dividend) : -14 (divisor) \frac{5}{-14}

Long division (check below)

With the same two numbers -14 and 5 we can write in a Long Division

 

5) -14

<u>   - 2.8</u>

5) -14

    10

   40

So \frac{-14}{5}=-2.8

2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.

\frac{5}{-14} form.

\frac{-14}{5} form.

3 0
3 years ago
Read 2 more answers
The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length
valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

7 0
3 years ago
Reduce the fraction into simplest terms. 9/12
solong [7]

Answer:

3/4

Step-by-step explanation:

divided by 3 to get the answer.

8 0
3 years ago
Read 2 more answers
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