One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Answers

Answer 1
Answer: so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so 
x=5(3)
x=15
y=3

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If 4 gallons of milk cost $16.76, how much would 7 gallon of milk cost

Answers

7 gallons of milk will cost $29.33.

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that 4 gallons of milk cost $16.76.

Now, we can write that -

4 gallons of milk cost $16.76

1 gallon of milk will cost $(16.76/4)

7 gallons of milk will cost $(16.76/4 x 7) = $29.33

Therefore, 7 gallons of milk will cost $29.33.

To solve more questions on equation modelling, visit the link-

brainly.com/question/29014197

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The answer is $29.33

David typed 210 words in 30 minutes. What is her rate of typing?

Answers

210 words ... 30 minutes
x words ... 1 minute

If you would like to know how many words can David type in 1 minute, you can calculate this using the following steps:

x * 30 = 210 * 1      /30
x = 210 / 30
x = 7 words

Result: David can type 7 words in 1 minute.

What is the unit price for 5.22 for 6

Answers

Answer:

Step-by-step explanation:

5.22/6= 0.87 a piece

The expression 8 x plus 12 y represents the sum of Harry and Mike’s total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?A. 8 left parenthesis x plus 1.5 y right parenthesis ; Harry’s hourly wage is 1.5 times Mike’s.
B. 8 left parenthesis x plus 1.5 y right parenthesis; Mike’s hourly wage is 1.5 times Harry’s.
C. 12 left parenthesis 8 x plus y right parenthesis ; Harry’s hourly wage is 8 times Mike’s.
D. 8 left parenthesis x plus 4 y right parenthesis ; Mike’s hourly wage is 4 times Harry’s.

Answers

it’s B figured it out got it

Zero product property to solve equations1. a^2+8a=0
2. (3h-6)(2h-8)=0
3. 6m^2+17m+5=0
4. y^2-36=0
5. (3g+4)^2=0

Answers

1.              a² + 8a = 0
             a(a) + (8) = 0
               a(a + 8) = 0
a = 0    or    a + 8 = 0
                       - 8  - 8
                         a = -8

2.               (3h - 6)(2h - 8) = 0
    (3(h) - 3(2))(2(h) - 2(4)) = 0
             (3(h - 2))(2(h - 4)) = 0
                   6(h - 2)(h - 4) = 0
                             6             6
                     (h - 2)(h - 4) = 0
        h - 2 = 0    or    h - 4 = 0
          + 2 + 2             + 4 + 4
             h = 2                 h = 4

3.                            6m² + 17m + 5 = 0
                     6m² + 15m + 2m + 5 = 0
    3m(2m) + 3m(5) + 1(2m) + 1(5) = 0
                3m(2m + 5) + 1(2m + 5) = 0
                           (3m + 1)(2m + 5) = 0
               3m + 1 = 0    or    2m + 5 = 0
                      - 1  - 1                  - 5  - 5
                     3m = -1                2m = -5
                      3       3                 3       3
                       m = ⁻¹/₃                 m = -1²/₃

4.                          y² - 36 = 0
              y² - 6y + 6y - 36 = 0
    y(y) - y(6) + 6(y) - 6(6) = 0
             y(y - 6) + 6(y - 6) = 0
                    (y + 6)(y - 6) = 0
       y + 6 = 0    or    y - 6 = 0
           - 6 - 6              + 6 + 6
             y = -6               y = 6

5. (3g + 4)² = 0
(√(3g + 4))² = √(0)
        3g + 4 = 0
              - 4  - 4
               3g = -4
                3      3
                  g = -1¹/₃

Which is more?
1. Riding a bike 10 miles in 1 hour
2. Jogging 3 miles in 24 minutes

Answers

I say that number one is more reasonable  but 10 miles in one hour, compared to 3 miles in 24 minuets 
and 3*3 = 9 
which is close to ten and 
24 * 3 = 72 minuets 
there are 60 minuets in an hour
so i would say the second option is correct :)