MATHEMATICS HIGH SCHOOL

The equation x2 + (y + 4)2 = 49 models the boundary on a local map for which Darren can hear his friend Tom on his two-way radio when Darren is at home. How far (in miles) can Tom walk from Darren’s home and still be heard?14 miles

3.5 miles

4 miles

7 miles

Answers

Answer 1
Answer: The right answer for the question that is being asked and shown above is that: "14 miles." The equation x2 + (y + 4)2 = 49 models the boundary on a local map for which Darren can hear his friend Tom on his two-way radio when Darren is at home.

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Solve the system.x – 2y = 10
3x + 2y = 14

(Points : 5)
(–8, 6)
(–2, 6)
(6, –8)
(6, –2)

Answers

x - 2y = 10\n 3x + 2y = 14\n ------\n 4x=24\n x=6\n\n 6-2y=10\n 2y=-4\n y=-2\n\n (6,-2)

$800 deposited at 9% for 9 months, what is the simple interest and total amount?

Answers

9% of 800 is 72 and nine month would be $648. The total amount would be 1448.
ok so the formula to find simple interest over the amount of years is A=P(1+r times t ) so lets plug it in 800(1+(.0009 times 9))is equal to $806.48 cents per year for 9 years hoped this helped!!

Hello! Can someone please help me with this? Thank you! :)

(screenshot included)

Answers

Answer:

32÷35=0.9142857142857143

Answer:

decimal equivalent is .91429 (simplified)

he likely made the mistake of dividing 35 by 32 instead of the other way around

Step-by-step explanation:

to find the answer you divide 32 by 35 instead of dividing 35 by 32

Make x the subject of y = 4x + 1​

Answers

Answer:

x=y-1/4

Step-by-step explanation:

y=4x+1            

-1

y-1=4x

divide by 4

y-1/4=x

If postage costs $.54 for the first ounce and $.22 for the each additional ounce, calculate the cost of mailing a 10- ounce envelope. A. $2.20 B. $5.08
C. $2.52
D. $5.40

Answers

Answer:

Hence, the total cost of mailing 10 ounces is:

$ 2.52

Step-by-step explanation:

If postage costs $.54 for the first ounce and $.22 for the each additional ounce.

i.e. cost of first ounce=$ 0.54.

Now let x denote the number of ounces after the first ounce,

Hence, the cost of x ounces=$ (0.22×x)=$ 0.22 x

Hence, the cost of mailing (x+1) ounces is: $ (0.54+0.22 x)

Now, we have to find the cost of  mailing a 10- ounce envelope.

i.e. after the first ounce we need 9 more ounces.

Hence, the total cost of mailing is calculated as:

=$ (0.54+0.22* 9)\n\n=$ (0.54+1.98)\n\n=$ 2.52\n

Hence, cost of mailing 10 ounces is:

$ 2.52
10-first oz=9oz
0.54 for first
0.22 times 9=1.98
total is 1.98+0.54=2.52

C

What is the value of x in the equation −x = 6 − 3x + 8?−14
−7
14
7

Answers

Answer:

  x = 7

Step-by-step explanation:

Add 3x to both sides of the equation.

  2x = 6+8

Divide both sides by 2.

  x = 7

Answer:

7

Step-by-step explanation:
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