Albert rode to the park at 12 mph and then back home at 20 mph. If the round trip took 4 hours and it is 30 miles each way, how long did the ride to the park take?

Answer:

Five times nine plus twenty

Step-by-step explanation:

Just remember the order of operations... multiplication and division are done first before adding and subtracting.

Answer: 5 + 25n

Explanation: Let's simplify this problem using the distributive property.

In this problem, the 5 "distributes" through the parentheses which means that it multiplies by each of the terms inside.

So we have 5(1) + 5(5n) which simplifies to 5 + 25n.

Answer:

NO

Step-by-step explanation:

The equation y = 15/x is not a linear function. A linear process follows the form y = a + bx and graph as a straight line. The given equation doesn't track that form or behavior; hence, it is not linear.

No, the equation y = 15/x is not a linear function. In Mathematics, a linear function is defined by the equation y = a + bx, where a is the y-intercept, b is the slope, x is the independent variable, and y is the dependent variable. In this equation, the relationship between x and y is direct, meaning if x increases or decreases, y will also increase or decrease at a constant rate.

However, in the equation y = 15/x, the relationship between x and y is inverse. If x increases, y decreases, and vice versa. Furthermore, the form of the equation doesn't follow the standard form of a linear equation (y = a + bx) because the x variable is in the denominator. Therefore, it is not linear because it will not graph as a straight line.

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The constant of proportionality for this relationship is  [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Proportional relationship is the relation between two variables that vary directly with each other

∵ The equation is 3 y = 5 x

∵ x and y are proportional

- That means y = k x, where k is the constant of proportionality

∴ Put the equation in the form y = k x

- Divide both side by the coefficient of y

∵ The coefficient of y is 3

∴ Divide both sides of the equation by 3

∴ y = [tex]\frac{5}{3}[/tex] x

-  The value [tex]\frac{5}{3}[/tex]  is constant

∴ k =  [tex]\frac{5}{3}[/tex]

∵ k represents the constant of proportionality

∴ The constant of proportionality =  [tex]\frac{5}{3}[/tex]

The constant of proportionality for this relationship is  [tex]\frac{5}{3}[/tex]

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Therefore possible committees are [tex]^5C_3[/tex] =10

Step-by-step explanation:

Given , from a group of 5 candidates , an environmental committee of 3 people is selected.

Therefore possible committees are [tex]^5C_3[/tex] =10

Answer:

6/7 and 1 5/7

Step-by-step explanation:

Answer:

6/7 and 1 5/7

5/6 and 10/12= 5/6

Answer:

The complement of 33 is the angle that when added to 33 forms a right angle

Step-by-step explanation:

it is un needed for a explanation

Answer:

The answer A) b=-8

Step-by-step explanation:

Answer:

b = -8

Step-by-step explanation:

Answer:

The statement is true.

Step-by-step explanation:

Given : Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis.

To find : Is this statement true or false?

Solution:

Rules of reflection :

Along across y-axis if we have a point

So, y=sinx

The reflection across y-axis→ .......[1]

Along across x-axis if we have a point

so, y=sinx

The reflection across x-axis →  .....[2]

Hence, [1] and [2] both of them are equal

Therefore, the statement is true.

Answer:

The answer is true for A P E X

Step-by-step explanation:

Answer:

Step-by-step explanation:

For a number to be written in standard form, it must be in a format

A×10^n

Now, n can be positive or negative, i.e n is an integer

Also, A must be between 0 and 10. It must not be outside those number

i.e 0<A<10

Therefore, to answer the question

0.00000092

The point will start to move for the negative and it will stop after the first number

If it is moving rightward, n is negative.

if it is moving leftward, n is positive

So,

9.2×10^-7 is the answer.

Then the answer is B

n=7 it moves 7 time to get to 9.2

Answer:

B.7

Step-by-step explanation:

The range of scientific notation is

0.9999999 to 9.999999999

Answer:

i) $500 at 5% simple interest for two years.

   Interest = 550 - 500 = $50

ii) $500 at 3% compounded monthly for 2 years.

   Interest = 530.88 - 500 = $30.88

I would take the first option i)$500 at 5% simple interest for two years.

Step-by-step explanation:

i) $500 at 5% simple interest for two years.

  Initial amount, P = $ 500

  Rate of interest, r = 0.05

  Time in years, t = 2

 Therefore Final amount A = P(1 + rt) = 500(1 + (0.05  2) ) = $550

  Therefore Interest = 550 - 500 = $50

ii) $500 at 3% compounded monthly for 2 years

   Initial or Principal Amount, P  = $500

   Rate of interest, r =0.03

   number of conversions, m = 12

    Time in years, t = 3

 Therefore final amount,   = $530.88

Therefore Interest = 530.88 - 500 = $30.88

I would take the first option i) $500 at 5% simple interest for two years.

Answer:

80.52

Step-by-step explanation:

For triangle it is

100-36=64 Root 64=8

24cmsquared

for the half cirlce it is

18pie=56.52

Simplified expression for total amount spent is 10(2.05 + m)

Step-by-step explanation:

Expense = 8.50 + 6.25 × m

Expense = 12 + 3.75 × m

Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)

Sabra spends a total amount represented by the simplified expression 20.50 + 10m after m months on both the cooking and movie clubs.

To find the total amount of money Sabra spends on both clubs after m months, we need to consider the costs of joining each club and the ongoing monthly fees.

Sabra's cooking club costs $8.50 to join and $6.25 per month. This can be represented by the expression:

Sabra's movie club costs $12 to join and $3.75 per month. This can be represented by the expression:

To find the total amount spent on both clubs, we sum these expressions:

So, the total amount of money Sabra spends on both clubs after m months can be expressed as 20.50 + 10m

Answer:

(x + 7) (x + 5)

Step-by-step explanation:

Factor the following:

x^2 + 12 x + 35

The factors of 35 that sum to 12 are 7 and 5. So, x^2 + 12 x + 35 = (x + 7) (x + 5):

Answer: (x + 7) (x + 5)

Answer:

BC = 3.1666

Step-by-step explanation:

To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.

Answer:

The cost for one pound of birdseed is $0.67

Step-by-step explanation:

Use Mariela's example first

To find the cost per pound, get the pounds to 1.

15 pounds = $10.00       Divide both sides by 15 to get 1 pound

1 pound = $0.67  

Use Mark's example to see if it is the same rate

12 pounds = $8.00   Divide both sides by 12 pounds to get one pound

1 pound = $0.67

Use Daryl's example to prove the other answers

18 pounds = $12.00    Divide both sides by 8 pounds to get one pound

1 pound = $0.67