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GalinKa [24]
3 years ago
15

List 3 values that would make this inequality true 180>15y

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0
So if we want to make sure y x 15 is less than 180, we can plug in low values and check the inequality.

If we plug in 0, we get 180 > 0 which is true.

If we plug in 1, we get 180 > 15 which is true.

If we plug in 2, we get 180 > 30 which is true.

Therefore, 3 values that satisfy the inequality are 0, 1, and 2.
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A phone company offers two monthly plans. Plan A costs 14 plus an additional 0.09 for each minute of calls. Plan B costs 18 plus
Sliva [168]

Answer:

200 minutes

Step-by-step explanation:

14 + 0.09 x = 18 + 0.07 x

0.09 x - 0.07 x = 18 - 14

0.02 x = 4

x = 400/2 = 200

8 0
3 years ago
Use the guess-and-check method to solve the equation:
Sidana [21]
B x is equal to 3
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4 0
3 years ago
Read 2 more answers
If U = {x: X € N, 1 < × < 15)
Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

5 0
3 years ago
Simplify.√75 <br> A.3√5 B.15√5 C.25√3 D. 5√3
stich3 [128]
D, square root of 75= 5 square root 3
6 0
3 years ago
Determine the volume of the rectangular prism.<br>​
Flauer [41]

Answer:

<h2><u>50 ft³</u></h2>

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2\frac{1}{2} and the height is 2\frac{1}{2}

8 × 2\frac{1}{2} × 2\frac{1}{2}

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2\frac{1}{2} = 20

20 × 2\frac{1}{2} = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

<u>50 ft³ is our final answer</u>

7 0
3 years ago
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