Tell whether the rates are equivalent. Justify your answer.

60 centimeters every 2.5 years
30 centimeters every 15 months10

Answers

Answer 1

Answer:

30 centimeters every 15 months is correct the other one isnt.

Step-by-step explanation:

Answer 2

The rates are equivalent, and we can justify this by converting the time units to make a valid comparison.

To determine if the rates are equivalent, we need to compare the ratios of centimeters to time between the two rates.

Rate 1: 60 centimeters every 2.5 years

Rate 2: 30 centimeters every 15 months

Let's convert both rates to a common time unit to make a valid comparison. We can convert years to months or months to years.

Converting Rate 1:

2.5 years * 12 months/year = 30 months

Rate 1 becomes 60 centimeters every 30 months.

Now, let's compare the rates:

Rate 1: 60 centimeters every 30 months

Rate 2: 30 centimeters every 15 months

The rates are equivalent because the ratios of centimeters to time are the same for both rates. In both cases, the ratio is 2 centimeters per month.

Therefore, the rates are equivalent, and we can justify this by converting the time units to make a valid comparison.

To know more about  "rates."  here

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Related Questions

Which expression shows 56x+40y-48z written as a product of the greatest common factor and one other factor

Answers

Answer:

Step-by-step explanation:

You have not provided the choices.

Factor each term into powers of primes and variables:

56x = 2³·7x

40y = 2³·5y

48z = 2⁴·3z

Greatest common factor = 2³ = 8

56x + 40y - 48z = 8(7x + 5y - 6z)

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Answer:

D, A P E X

Step-by-step explanation:

The equation of the red curve on the graph will be g(x) = x² + 4. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables.

The parent function is given as,

f(x) = x²

The parent function is shifted upward by 4 units. Then replace f(x) with g(x) - 4. Then the equation is written as,

g(x) - 4 = x²

g(x) = x² + 4

The equation of the red curve on the graph will be g(x) = x² + 4. Then the correct option is D.

More about the function link is given below.

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A package of mixed lettuce seeds contains 150 green lettuce seeds and 50 red lettuce seeds. What is the probability that a randomly selected seed will be a red lettuce seed? Write your answer as a percent.​

Answers

Answer:

25%

Step-by-step explanation:

I used relative frequency approach

n(total number of seeds)= 150+50=200.

probability (selecting a red lettuce) = red lettuce divided by the total number of seeds.

probability (selecting red lettuce) = 50/200 = 0.25

in percentage, probability = 0.25*100= 25%✓

Please help!! My piggy bank has dimes and nickels in it. If the total value of the coins is $5.65 and there are 70 coins in my piggy bank, how many dimes and how many are nickels?

Answers

Answer:

21 dimes, 7 quarters

Step-by-step explanation:

find out the total volume of cube _Edge Length =6 inches​

Answers

Given:

The edge length of a cube = 6 inches

To find:

The volume of the cube.

Solution:

We know that, the volume of a cube is

[tex]V=a^3[/tex]            ...(i)

Where, a is the edge length.

Substituting a=6 in (i), we get

[tex]V=(6)^3[/tex]

[tex]V=216[/tex]

Therefore, the total volume of the cube is 216 cubic inches.

Tanya has a garden with a trench around it. The garden is a rectangle with length of 2 1/2m and width of 2 m. the trench and garden together make a rectangle with length 3 1/2m and width of 3 m. Find the area of just the trench

Answers

Answer:

The area of a trench is 5.5 m².

Step-by-step explanation

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

have a great day!!

guys please help me with my homework

Answers

Answer:

no

Step-by-step explanation:

I need help again.. can someone help me solve this...? I didn't get a screenshot of how to solve the perimeter but I know it had something to do with subtracting a side from another side to get the side... I dunno... (HELPFUL ANSWERS ONLY PLEASE)

Answers

Answer:

21

Step-by-step explanation:

Give the quotient in simplest form:

Answers

Answer:

exact form

141/92

Decimal form

1.53

mixed number form

1  49/92

hope this helps

Answer:

[tex]\frac{141}{92}[/tex]

Step-by-step explanation:

1) First, convert the mixed numbers to improper fractions.

[tex]5\frac{7}{8}[/tex] ÷ [tex]3\frac{5}{6}\\[/tex]

[tex]=\frac{47}{8}[/tex] ÷ [tex]\frac{23}{6} \\[/tex]

2) To divide fractions, find the reciprocal of the second fraction by flipping it, or switching the places of its numerator and denominator. Then, multiply the two fractions by multiplying their numerators and denominators together. Then, simplify the result to find the answer.

[tex]\frac{47}{8}[/tex] × [tex]\frac{6}{23}[/tex]

[tex]=\frac{282}{184} \\=\frac{141}{92}[/tex]

Plz help me I really need help !!!!!!!!!!

Answers

Answer:

What would you like me to help you with? ╰_╯

simplify the following. 4p^3q^2 x -3p^6q^5​

Answers

muachhhhhhhhhh hhhhhhhhhhhhhhhhhh

私は英語がわかりませhahah sorry

A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

35% chance because the company made 150 bags

I need the answer to #8

Answers

Answer:

i think it's 3400:)

Step-by-step explanation:

15% of 4000 is 600

i need help i'm about to cry lol

Answers

Answer and Step-by-step explanation:

The answer is the last answer choice.

g(x) = [tex]-(x + 2)^2 + 1[/tex]

We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.

The equation for a transformed function is:

f(x) = [tex]a(x-h)^2 + k[/tex]

a determines the scale of the graph and whether the graph opens up or down.

h determines whether the graph shifts left or right.

k determines whether the graph shifts up or down.

We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.

k is a positive 1, so the graph will be shifted up 1 unit.

Thus, the answer is the last answer choice.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]g(x)=-(x+2)^{2} +1[/tex]

The nth term of a sequence is given by 3n - 8
Write down the value of,
(i) the 1st term,
(ii) the 10th term,
(iii) the 100th term.

Answers

The 100th term that’s what I think

If 3^2x+1=3^x+5What is the value of X. 2,3,4,6

Please hurry

Answers

Answer:

4

Step-by-step explanation:

Hope it helps out!

help me please !!!!!!

Answers

a, c, d are linear, goodluck :)

Find cuberoot of 27000*(-42875)

Answers

ANSWER:

35

DID YOU COPY MY ANSWER THAT IS CORRECT

Step-by-step explanation:

125=5*5*527=3*3*33√125=53√125*27= 35*5*5*3*3*35*315-1286250

Simplify the expression.
-4+ (-1) - (-3) = ?

Answers

Answer:

-2

Step-by-step explanation:

-4 + (-1) - (-3) = ?

-4 - 1 + 3 = ?

-5 + 3 = ?

? = -2

Step-by-step explanation:

given

- 4 + (- 1) - ( - 3 )

= - 4 - 1 + 3

= - 5 + 3

= - 2

hope it helps

-4(-4+x)>56 please help:)

Answers

Answer:

x < -10

Step-by-step explanation:

i hope this helps :)

16-4x



Answer to the question ;

In a right triangle, where one leg is 20 inches and the hypotenuse is 25 inches, what is the length of the other
leg?

Answers

Answer:

15

Step-by-step explanation:

25² - 20² = leg²

leg² = 225

leg =15

What's the area of this figure?

Answers

Answer:

136.5 yd²

Explamation:

You break the shape into squares and rectangles and find the area of them and then add them together. To get the area of a triangle you add another half to it to make a square or rectangle. After you've done that, find the area of that shape and then divide it by 2.

If a watch costs $40 and you must pay 6.5 % sales tax, how much will you pay in TAX?

Answers

Answer: 2.6

Step-by-step explanation:

There are approximately 750 students enrolled in a new school, which is already at full capacity.
The school's management board plans to add an addition to house 500 more students. If the
school population grows at 6.4% per year, in how many years will the new addition be full?

Answers

Answer:

8000

Step-by-step explanation: 700 + 500 = 1,200

1,200 x 6.40 = 8000

Which equation has x = 4 as the solution?

Answers

Answer: A (the first one)

Step-by-step explanation:

Rewrite as [tex]4^{2}[/tex] = 3x+4 and solve:

16 = 3x+43x = 12x = 4

4.
Choose an appropriate metric unit for the thickness of the lead of a pencil.


A. centimeter

B. liter

C. milliliter

D. millimeter

Answers

Answer:

D. millimeter

Step-by-step explanation:

millimeters [mm]

You can use millimeters.

What happens to the opposite and adjacent sides when theta is moved from one acute angle to the other?

Answers

Answer:

the opposite and adjacent sides should switch places if theta is moved. the hypotenuse will always stay the same.

The number 15 is the geometric mean of 25 and what other number?​

Answers

Answer:

9

Step-by-step explanation:

richard klein works as auto mechanic and earns the following commission rates 3.00 percent for oil changes 5.00 percent for tune ups and 6.25 percent on auto parts sales he is guaranteed a minimum salary of $2,450.00 per month last month he brought in $2,500.00 in oil changes $4,500.00 in tune ups and sold $28,200.00 in parts what is his gross pay for the month

Answers

Answer:

His gross pay for the month is $4,509.50

Step-by-step explanation:

The commission Richard Klein earns for oil change = 3.00%

The commission he earns for tune ups = 5.00%

The commission he earns for auto parts sales = 6.25%

The minimum salary he is guaranteed = $2,450.00

The amount he brought in last month includes;

1) $2,500.00 in oil changes

2) $4,500 in tune ups

3) Sold $28,200.00 in parts

The amount he earns last month in commission are;

3/100 × 2,500 = 75 in oil changes

5/100 × 4,500 = 225 in tune ups

6.25/100 × 28,200 = 1762.5 in parts sold

The total commission = 72 + 225 + 1762.5 = 2,059.5

∴ The total commission = $2,059.5

The amount he makes as salary = $2,450.00

Richard Klein's gross pay for the month = His total pay for the month

Therefore;

Richard Klein's gross pay for the month = $2,059.5 + $2,450 = $4,509.5

Look at the question below.

Answers

Answer:

35

Step-by-step explanation:

Fatima sells 10 cookies each 1.50. Her cookie total is 15 dollars. Her teacher gives her an additional 20 dollars. 20+15=35.

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