A 9-pound bag of dog food costs $40, and a 20-pound bag of dog food costs $85. Which bag is the better buy?

The temperature on a winter day increased 37oF. If the beginning temperature was -9oF, what was the temperature after the increa

Rashid [163]

If you would like to know what was the temperature after the increase, you can calculate this using the following step:

the beginning temperature: -9
increased: 37
the temperature after the increase: -9 + 37 = 28oF

The temperature after the increase was 28oF.

5 0

3 years ago

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A spinner has 10 10 equal-sized sections. Six Six of the sections are purple purple. a. What is the probability that the spinne

borishaifa [10]

Answer:

P(Spinner lands on purple section) = 0.6 = 60%

Step-by-step explanation:

We are given the following in the question:

Number of sections = 10

Number of purple sections = 6

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

a) probability that the spinner will land on purple purple

P(purple) =

$=\dfrac{6}{10} = 0.6$

0.6 is the probability that the spinner will land on purple purple.

b) Interpretation of probability

$0.6\times 100\% = 60\%$

There is a 60% chance that the spinner will land on purple color.

7 0

3 years ago

-6/7,-3/7,0,3/7 .... create a formula that explains the arithmetic sequence

LenKa [72]

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term
d is the common difference between the consecutive terms

∵ $\frac{-6}{7}$ , $\frac{-3}{7}$ , 0 , $\frac{3}{7}$ are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = $\frac{-3}{7}$ - $\frac{-6}{7}$

∴ The difference between two consecutive terms = $\frac{-3}{7}$ + $\frac{6}{7}$ = $\frac{3}{7}$

∴ The common difference = $\frac{3}{7}$

∴ d = $\frac{3}{7}$

∵ The first term is $\frac{-6}{7}$

∴ a = $\frac{-6}{7}$

- Substitute a and d in the formula above

∴ $a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}$

- Simplify the right hand side

∴ $a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}$

- Add like terms

∴ $a_{n}=\frac{3}{7}n-\frac{9}{7}$

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0

3 years ago

A video, originally priced at $15, is on sale for $5.50. What is the percent of decrease rounded to the nearest whole number?

Natasha2012 [34]

Step one: Subtract $15 - $5.50 = $9.50
Step two: divide $9.50 ÷ $15 = .633 (rounded) 
Step three: Multiply .633 * 100 to change it to a percent. It becomes 63.3% (rounded) 
The decrease is 63.33% 

Proof: $15 * .63333 = $9.50 
Subtract $15 - $9.50 = $5.50

does this help??

6 0

3 years ago

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Help. Calculus question.

elixir [45]

Answer:

64π/5 cubic units.

Step-by-step explanation:

The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).

The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.

Using the disk method for volumes of revolution:

Note that x = y^1/3 so:

the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.

= 3/5 y^5/3 * π between 0 and 8

= 96π/5.

The required volume = π 2^2 *8 - 96π/5

= 32π - 96π/5

= 64π/5.

4 0

3 years ago