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AVprozaik [17]
3 years ago
14

Which sign makes the statement true?

Mathematics
2 answers:
Galina-37 [17]3 years ago
7 0

Answer:

<

Step-by-step explanation:

slava [35]3 years ago
6 0

Answer:

-2/5

Step-by-step explanation:

well to start of you have to find the same factor that they both share for 5 and 8 which would be 40

so for -2/5 to get to 40 we would have to multiply the numerator and denominator so it would be \frac{-2}{5} 5x8= 40 2x20=40 so the new fraction would be \frac{20}{40}

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4y-x=5+2y; 3x+7y=24 solve systen by using substitution
jek_recluse [69]
4y - x = 5 + 2y ..... (1)
3x + 7y = 24    ..... (2)

by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span>        ..... (1a)

by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x  -  6y = -15  ..... (1b)

by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
                      13y = 39
           ⇒            y = 3

by substituting y=3 into (2)
    3x + 7(3) = 24 
              3x = 24 - 21
              3x = 3
        ⇒     x = 1


∴ solution to the system is x=1 when y = 3
6 0
3 years ago
Sally used 30 cubes to build a rectangular prism that was 5 cubes long, 3 cubes wide, and 2 cubes high. She decided to take apar
Mashcka [7]

Answer:

3cube long 2 cube wide and 5 cube prism.

Step-by-step explanation:

-The number that has only 3 absolute divisors

-Since we already know this factors, Sally can create a different prism by altering the dimensional attributes.

-She can create a 3cube long 2 cube wide and 5 cube high prism.

-The new prism still has the same volume of 30 cubic units.

5 0
3 years ago
the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface
AURORKA [14]
I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2\pir²

The diameter is the sum of 2 radii, hence r=8

D=12
  = 2r =12
r=8

With the raduis the area can be found
A= 2\pir²
A=2\pi8² 
A=2(64)\pi
A=128\pi

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 \pi/10.99
cost/inch =11.64\pi
               = 11.64(3.14)
               = 36.57

The pie costs 36 cents per square inch
5 0
3 years ago
Show you work! Giving lots of points for great explained answer!
Alja [10]

Answer:

If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.

Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of  flour.

1 3/4 can be rewritten as an improper fraction- 7/4.

3 1/2 can also be rewritten as an improper fraction- 7/2.

Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.

This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs  a lot more than that.

Hope this helps!

8 0
3 years ago
Read 2 more answers
a worker in a silver mine descends 71 feet. Use an integer to represent the change in the workers position.
alexira [117]

Answer:

iuyhgt

Step-by-step explanation:

6 0
3 years ago
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