MATHEMATICS MIDDLE SCHOOL

7. Justin takes his pulse and counts 18 heart beats in 15 s.a) What is his heart rate in beats per second?
b) What is his heart rate in beats per minute?
c) What is his heart rate in beats per hour?​

Answers

Answer 1
Answer:

Answer:

18÷15=a

18÷15×60=b

18÷15×60×60=c

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Divide mentally.

1.2 ÷ 3,000 = ?

Answers

It would equal 0.0004. 
0.0004 is the answer.

Isabella saved $15,000 and bought a car that cost $12,700. The insurance for the carwill cost $600 per year. How many full years will Isabella be able to pay for car
insurance with her remaining savings?

Answers

Answer:

3 full years

Step-by-step explanation:

First figure how much she has left over.

15,000-12700=2300

Each year insurance costs $600.

$2300/600 = 3.8

She almost has 4 years but can't quite pay the 4th year so the answer is 3 years.

Solve:
7y - 8 = 6y + 1 With a detailed step by step solution please! :)

Answers

7y - 8 = 6y + 1

Combine like terms...

7y - 8 = 6y + 1
-6y        -6y

y - 8 = 1
   + 8   + 8
 
y = 9

Answer: y = 9
You have to get y on one side and numbers on another.   So the best way to do this would be to move the 6y over to the left.  To do that you have to subtract 6y from both sides. 

7y-8=6y+1
-6y     -6y

We subtract because we need it to zero out on the right.  

7y-6y-8=1

Now move the -8 to the right by adding it to both sides.

7y-6y-8=1
         +8   +8

7y-6y=1+8

remember we added 8 so that this number zeroed out on the left.

Now finish the math

7y-6y=1y or just y

1+8 =9

y=9

One positive number is 5 less than twice a second number, and their product is 117. Find the two numbers.

Answers

x,y - the numbers

one positive number is 5 less than twice a second number

(1)    x - 5 = 2y

their product is 117

(2)    xy = 117

(1)     x - 5 = 2y     add 5 to both sides

x = 2y + 5   substitute it to (2)

(2y + 5)y = 117     use distributive property

(2y)(y) + (5)(y) = 117

2y² + 5y = 117      subtract 117 from both sides

2y² + 5y - 117 = 0

2y² + 18y - 13y - 117 = 0

2y(y + 9) - 13(y + 9) = 0

(y + 9)(2y - 13) = 0 ↔ y + 9 = 0 ∨ 2y - 13 = 0

y + 9 = 0    subtract 9 from both sides

y = -9

2y - 13 = 0     add 13 to both sides

2y = 13     divide both sides by 2

y = 6.5

substitute the values of y to (1)

x = 2(-9) + 5 = -18 + 5 = -13 < 0

x = 2(6.5) + 5 = 13 + 5 = 18

Answer: x = 18 and y = 6.5

Sandy has $200 in her bank account. If she writes 6 checks for exactly $19.98, what expression describes the change in her bank account?

Answers

$200 - (6 x $19.98) = $120.12

11 is 20% of what number?

Answers

i think its 55 because 11 divided by .2 (20%) equals 55 then if you wanna check it then multiply 55 with .2 and you'd get 11.
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