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Alexeev081 [22]
3 years ago
8

If |x-16| is less than or equal to 4 and |y-6| is less than or equal to 2, what is the greatest possible value of x-y?

Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

16

Step-by-step explanation:

|x - 16| less than/equal to 4

Means x can be between;

-4+16 and 4+16, i.e [12,20]

|y - 6| less than/equal to 2

Means x can be between,

-2+6 and 2+6, i.e [4,8]

x - y would be greatest when x is greatest and y is least:

20 - 4 = 16

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A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

 

$$ Plan A = $$ Plan B

 

To find the charge on each plan we add the base rate to the per minute call rate for each.

 

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

 

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

 

2700 + 11x = 1300 + 15x

 

Subtracting 11x and 1300 from both sides:

 

4x = 1400

 

x = 350 min.

 

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

boom   :)

5 0
3 years ago
Please answer <br> 3(x-1)=5x+3-2x
Setler [38]
Answer: there are no solutions



Step by step: Step 1: Simplify both sides of the equation.
3
(
x
−
1
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x
(
3
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x
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+
(
3
)
(
−
1
)
=
5
x
+
3
+
−
2
x
(Distribute)
3
x
+
−
3
=
5
x
+
3
+
−
2
x
3
x
−
3
=
(
5
x
+
−
2
x
)
+
(
3
)
(Combine Like Terms)
3
x
−
3
=
3
x
+
3
3
x
−
3
=
3
x
+
3
Step 2: Subtract 3x from both sides.
3
x
−
3
−
3
x
=
3
x
+
3
−
3
x
−
3
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3
Step 3: Add 3 to both sides.
−
3
+
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0
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6
6 0
3 years ago
Read 2 more answers
Find the area of the triangle described.
Artemon [7]

Answer:

28

Step-by-step explanation:

You multiply 7 and 8, and then divide it by two.

8 0
3 years ago
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A retired woman has $280,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and an
ASHA 777 [7]

Answer:

9% fund: $ 210,000

13% fund: $70,000

Step-by-step explanation:

As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:

r=\dfrac{R}{C}=\dfrac{28,000}{280,000}=0.10

If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:

0.09x+0.13(1-x)=0.10\\\\0.09x+0.13-0.13x=0.10\\\\-0.04x=0.10-0.13=-0.03\\\\x=\dfrac{0.03}{0.04}=0.75

Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.

This correspond to a capital of:

9% fund: 0.75*$280,000 = $ 210,000

13% fund: 0.25*$280,000 = $70,000

6 0
3 years ago
I need it fast please
Westkost [7]

Answer:

B. 3m-18n

Step-by-step explanation:

5m+3n-5m+3(m-7n)

=5m+3n-5m+3m-21n

=3m-18n

8 0
3 years ago
Read 2 more answers
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