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1 year ago

Robin purchased 3 1⁄2 ounces of whole wheat cereal for $1.40. What is the cost per ounce

Mathematics

2 answers:

Airida [17]1 year ago

8 0

To find cost per ounce divide the total price by the total ounces.
1.4 / 3.5
$ 0.40 per ounce

musickatia [10]1 year ago

5 0

$0.40 per ounce. This is because you divide 1.40 by 3 and you get 40 remainder 20. Then, 20 is the half. Thus, 20 multiply 2 is .40

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A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips

Flauer [41]

Answer: Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of tulips and daffodils = 600

Number of tulips = 150

Number of daffodils is given by

$600-150\\\\=450$

So, We can get the ratio of tulips to daffodils which is given by

$Tulips:Daffodils\\\\150:450\\\\1:3$

So, we need to choose a random sample of flowers to represent the population.

1) He can choose 50 flowers.

As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.

2) He can choose 25 tulips and 25 daffodils

As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.

3) He can choose 15 tulips and 60 daffodils

As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.

4) He can choose 10 tulips and 30 daffodils.

So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.

Hence, Last Option is correct.

4 0

1 year ago

Read 2 more answers

A worker drives a 0.500 kg spike into a rail tie with a 2.50 kg sledgeham-

Marianna [84]

Total internal energy increases by 1760 J

Step-by-step explanation:

The kinetic energy of an object is the energy possessed by the object due to its motion.

It is calculated as

$KE=\frac{1}{2}mv^2$

where

m is the mass of the object

v is its speed

For the hammer in this problem:

m = 2.50 kg

v = 65.0 m/s

So its kinetic energy is

$KE=\frac{1}{2}(2.50)(65)^2=5281 J$

Then the problem says that 1/3 of the hammer's kinetic energy is converted into internal energy: therefore, the total internal energy increases by

$\frac{1}{3}KE=\frac{1}{3}(5281)=1760 J$

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

8 0

1 year ago

Help^^^^^^^^^^^^^^^^^

Natalka [10]

Answer: choice D

----------------------------------------------

Work Shown:

I'm assuming the problem is -4*(1-x) <= -12+2x where the first term is -4 and not 4

-4*(1-x) <= -12+2x
-4*(1-x) <= -12+2x
-4+4x <= -12+2x
-4+4x-2x <= -12+2x-2x
-4+2x <= -12
-4+2x+4 <= -12+4
2x <= -8
2x/2 <= -8/2
x <= -4

To graph x <= -4, you plot a closed circle at -4. Then you shade to the left of the closed circle. This matches with choice D

6 0

1 year ago

The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting

Andrei [34K]

a) The given sequence is geometric.

b) The next term in the sequence is 486

c) The rule is: $a_n=6(3)^{n-1}$

The 20th week will be: a_{20}=6973568802

Step-by-step explanation:

The sequence 6, 18, 54, 162, … shows the number of push ups Kendall did each week, starting with her first week of exercising.

Part a) Is this an arithmetic or geometric sequence?

An arithmetic sequence is one, where difference between two consecutive terms is constant.

In the given sequence 6, 18, 54, 162,

18-6 = 12

54-18= 36

The difference is not constant so, the sequence is not arithmetic.

A geometric sequence is one, where ratio between two consecutive terms is constant.

In the given sequence 6, 18, 54, 162,

18/6 = 3

54/18 = 3

162/54 = 3

The ratio is constant so, the sequence is geometric.

The given sequence is geometric.

Part b) How can you find the next number in the sequence?

We can find next number in the sequence by using formula:

$a_n=a(r)^{n-1}$

where a_n= nth term

a= first term

r= common ratio

The next term will be 5th term of the sequence.

Finding 5th term:

$a_n=a(r)^{n-1}\\a_5=6(3)^{5-1}\\a_5=6(3)^4\\a_5=6*81\\a_5=486$

So, the next term in the sequence is 486

Part c) Give the rule you would use to find the 20th week. Find the 20th week

The rule used to find 20th week would be:

$a_n=6(3)^{n-1}$

Here n=20

Finding 20th week

$a_n=6(3)^{n-1}\\a_{20}=6(3)^{20-1}\\a_(20)=6(3)^{19}\\a_{20}=6973568802$

5 0

1 year ago

Estimate 72 x 362 / 0.49

andrew11 [14]

53191.8367347

thx for the points

3 0

1 year ago

Read 2 more answers