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ira [324]
3 years ago
7

Solve the compound inequality. 7x>-35 and -5x>-50

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

Answer:

x > - 5

x < 10

Step-by-step explanation:

Divide 7x>-35 by 7

Divide - 5x>-50 by - 5

Since we divide by a negative whe change the inequality sign.

You might be interested in
Use FOIL to explain how to find the product of (a + b)(a − b). Then describe a shortcut that you could use to get this product w
xenn [34]

Answer:

The product of (a+b)(a-b)  is a^2 - b^2

Step-by-step explanation:

Use FOIL to explain how to find the product of (a + b)(a − b)

FOIL is

Multiply First terms : a*a = a^2

Multiply Outside terms : a* -b = -ab

Multiply Inner  terms : b * a= ab

Multiply last terms : b * -b = -b^2

now we combine all the terms

a^2 -ab+ab - b^2

combine like terms

a^2 - b^2

The product of (a+b)(a-b)  is a^2 - b^2

Shortcut is we apply an identity

a^2 - b^2 = (a+b)(a-b)

8 0
2 years ago
Read 2 more answers
9+ (3 x 5) + [14 - (8 + 2)]
vivado [14]

Answer:

28

Step-by-step explanation:

9+15+[14-10]

9+15+4

24+4

28

4 0
2 years ago
Pixel goes shopping with one hundred dollars and ends up buying three different types of items: A, B, and C. The unit price of A
mixas84 [53]

Answer:

  • A - 16, B - 79, C - 5

Step-by-step explanation:

<u>Given</u>

  • A costs 5$
  • B costs  $0.25
  • C costs $0.05
  • A + B + C = 100
  • 5A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000

<u>Subtract the first equation from the second:</u>

  • 99A + 4B = 1900

<u>We have a restriction in numbers:</u>

  • 0 < A, B, C < 100

<u>Since 4B can be max 400, we get 99A > 1500  and 99A < 1900 so:</u>

  • A > 1500/99 > 15

and

  • A < 1900/99 < 19

A can be 16 or 18 as it should be even number to get B the whole number.

<u>If A = 16:</u>

  • 99*16 + 4B = 1900
  • 4B = 1900 - 1584
  • 4B = 316
  • B = 316/4 = 79

<u>If A = 18:</u>

  • 99*18 + 4B = 1900
  • 4B = 1900 - 1782
  • 4B = 118
  • B = 118/4 = 29.5, discarded as decimal

<u>So we get:</u>

  • A = 16, B = 79 and C = 100 - (16 + 79) = 5

<u>Let's proof the numbers:</u>

  • 16*5 + 79*0.25 + 5*0.05 = 100, confirmed

5 0
2 years ago
to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of ren
Rufina [12.5K]

Answer:

y=6,95x+35

Step-by-step explanation:

y=6,95x+35

y=6,95*5+35=69,75 for 5 hours

for 6 hours y=76,7

for 7 hours y=83.65

for 8 hours y=90,6

lemme know if its right <3.

8 0
2 years ago
I need an estimate. My teacher needs an explanation.​
zalisa [80]

Answer:

3.10 I think.

Step-by-step explanation:

4 0
2 years ago
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