Donner has decrease toy production 10%. Toy production was 400 toys. Which equation represents the new toy production?
A. t=(0.8)400
B. t=(0.1)400
C. t=(.2)400
D. t=(0.9)400

Answer:

No, Dale Isn't correct because 3:5 is greater than 2:10

Step-by-step explanation:

3:5 and 2:10 is the same as in \(\frac{3}{5}\)  and \(\frac{2}{10}\)

First Find the least common denominator or LCM of the two denominators:

LCM of 5 and 10 is 10

Next, find the equivalent fraction of both fractional numbers with denominator 10

For the 1st fraction, since 5 × 2 = 10,

\(\frac{3}{5} =\frac{3*2}{5*2} =\frac{6}{10}\)

Likewise, for the 2nd fraction, since 10 × 1 = 10,

\(\frac{2}{10} =\frac{2*1}{10*1} =\frac{2}{10}\)

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

\(\frac{6}{10} >\frac{2}{10} Or\frac{3}{5} >\frac{2}{10}\)

Hence, \(\frac{3}{5}\) is Greater than \(\frac{2}{10}\)

Hence, 3:5 is Greater than 2:10

Answer:

range is 43

Step-by-step explanation:

The range of a list of values is the largest value subtracted from the smallest one,

if you have one of these questions a good idea may be to order them on paper rather than doing it in your head, less of a chance of you missing a value and makes it faster if there are median questions

Answer: The answer is 43

95 - 52 = 43

Step-by-step explanation:

To find the answer for the Range you grab the largest number then subtract it from the smallest number then you'll get the answer

70,[ 52 ],75,84,86,67,89,92, [ 95 ], 80

Answer:

$842.98 * 107.25/100 =  $904.10

107.25% = 107.25/100

Step-by-step explanation:

The price is at 842.98 before adding the taxes of 7.25%

if that is the price then it represents 100% of the price. By adding the sales taxes the full price after taxes will be at 100%+7.25% = 107.25 % of the previous price.

The price after sales taxes will be at

$842.98 * 107.25/100 =  $904.10

Answer:

Well for number 3 it is the fourth join

And for four is the second option

Step-by-step explanation:

Number three is the fourth choice because all you do is take the two numbers and put the colun there.

And for number four is the second option because you do the same

LET ME KNOW ON HOW YOU DID IN THE COMMENTS!!

Answer:

A) 3

Step-by-step explanation:

The range is the highest value - the lowest value from the data

The data given is 1,2,3,4

Highest value: 4

Lowest value: 1

So range = 4-1

= 3

Answer:

I'm not sure but I think the second one. 12.5 < x < 18.9

Step-by-step explanation:

Answer:

B. 12.5 < x < 18.9

Step-by-step explanation:

on edge

Answer:

15 girls

Step-by-step explanation:

\(\frac{4}{3}\)  has 7 per "unit group" 35/7 = 5

so the ratio would be \(\frac{20}{15}\)

the question states ratio is \(\frac{boys}{girls}\)

thus 20 boys , and 15 girls

9514 1404 393

Answer:

  8, 9. Correct

  10. 6.1×t

Step-by-step explanation:

8, 9. The answers shown are correct.

__

10. The only product in the given expression is 6.1t, which can be written as ...

  6.1×t

when a symbol is used to represent multiplication.

The parts of the product are the multiplicand and the multiplier. Those parts are also called factors.

Answer:

139.5

Step-by-step explanation:

A= (a + b) /2 *h

A = ( 13 + 18) /2 *9

A = 31 / 2 * 9

A = 15.5 * 9

A = 139.5

Answer:

  3028 ft²

Step-by-step explanation:

You want the area of a circle in a sphere of radius 35 ft when it subtends a central angle of 125°.

Angle KOB in the diagram will be half the measure of angle AOB, so is ...

  ∠KOB = 1/2(∠AOB) = 1/2(125°) = 62.5°

The measure of the radius KB is ...

  sin(62.5°) = KB/OB

  KB = OB·sin(62.5°) = (35 ft)·sin(62.5°) ≈ 31.0454 ft

The area of the circle is given by ...

  A = πr²

  A = π(31.0454 ft)² ≈ 3028 ft²

The area of the circular surface of the oil is about 3028 ft².

<95141404393>

A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

Know more about a Dozen here :

https://brainly.com/question/30948187

#SPJ11

a) The pet shelter has 40% cats (20% black, 5% adopted), and 60% dogs (10% black, 10% adopted). 50% of non-black cats and dogs are adopted, b) 0.45, c) 0.19, d) 0.15, e) 0.375, f) 0.6.

a) The probability tree would look like this:

P(Cat) = 40%

P(Black Cat) = 20%

P(Adopted Black Cat) = 5%

P(Not Adopted Black Cat) = 95%

P(Not Black Cat) = 80%

P(Adopted Not Black Cat) = 50%

P(Not Adopted Not Black Cat) = 50%

P(Dog) = 60%

P(Black Dog) = 10%

P(Adopted Black Dog) = 10%

P(Not Adopted Black Dog) = 90%

P(Not Black Dog) = 90%

P(Adopted Not Black Dog) = 50%

P(Not Adopted Not Black Dog) = 50%

b) P(Not Black Dog & Adopted) = P(Not Black Dog) * P(Adopted | Not Black Dog) = 0.90 * 0.50 = 0.45

c) P(Black Cat & Not Adopted) = P(Black Cat) * P(Not Adopted | Black Cat) = 0.20 * 0.95 = 0.19

d) P(Adopted) = P(Adopted Black Cat) + P(Adopted Not Black Cat) + P(Adopted Black Dog) + P(Adopted Not Black Dog) = 0.05 + 0.50 + 0.10 + 0.50 = 0.15

e) P(Adopted | Cat) = P(Adopted & Cat) / P(Cat) = (0.05 + 0.50) / 0.40 = 0.375

f) P(Cat | Adopted) = P(Cat & Adopted) / P(Adopted) = (0.05 + 0.50) / 0.15 = 0.6.

Learn more about probability here: brainly.com/question/11234923

#SPJ4

Complete question:

Pet shelters typically have special adoption events for black cats and dogs, since their adoption rate is lower. One specific pet shelter (which has only cats and dogs) has 40% cats and 60% dogs. Twenty percent of the cats are black, and 10% of the dogs are black. The adoption percentage for black cats is 5%, and for black dogs is 10%. Cats that are not black are equally likely to be adopted as not adopted, and this is the same for dogs that are not black. For (b)-(f), write the probability statement and then calculate your answer.

a) Draw the probability tree and label all events and probabilities in it.

b) What is the probability that a randomly chosen animal is not black, a dog, and is adopted?

c) What is the probability that a randomly chosen animal is black, a cat, and is not adopted?

d) What is the probability that a randomly chosen animal is adopted?

e) Suppose a randomly chosen animal is a cat, what is the probability that it is adopted?

f) Suppose a randomly chosen animal is adopted, what is the probability that it is a cat?

Answer:

79.2135

Step-by-step explanation:

5.34 - 2.52 = 2.82

2.82 divided by 0.0356 = 79.2135

An equation that can be used to find the probability, p, that the person is also a female  given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)

For given question,

The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.

Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.

First we find the probability of selecting a student from the class in all audiences.

P(A) = 37/120

Now, the probability that the selected student is female student:

P(B) = 17/120

We need to write an equation for combined probability which is given by,

P = (17/120) ÷ (37/120)

Therefore, an equation that can be used to find the probability, p, that the person is also a female  given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)

Learn more about probability here:

https://brainly.com/question/3679442

#SPJ4

Answer:

see explanation

Step-by-step explanation:

there is a common difference between consecutive terms , that is

6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2

this indicates the sequence is arithmetic with explicit formula

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 8 and d = - 2 , then

\(a_{n}\) = 8 - 2(n - 1) = 8 - 2n + 2 = - 2n + 10

then

a₁₄ = - 2(14) + 10 = - 28 + 10 = - 18

Answer:

45 percent were brownies :)

Prime numbers from 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Composite Number from 1 to 100 are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, and 99.

It's important to note that 1 is not considered to be a prime number, it is considered a unit.

Prime numbers are considered to be the "building blocks" of numbers and are of particular interest to mathematicians, as they have many unique properties and uses. They are used in many areas of mathematics, such as number theory and cryptography, and are also used in many fields of science and engineering.

In conclusion, prime numbers are numbers that are divisible by only 1 and themselves, while composite numbers are numbers that can be divided by other numbers besides just 1 and themselves. From 1 to 100, there are 25 prime numbers and 75 composite numbers.

To know more about Prime numbers click here:

https://brainly.com/question/9315685#

#SPJ11

Answer:

5.142857

Step-by-step explanation:

1. Let us suppose the amount saved = s. 2. The inequality is 62 + s ≥ 100. 3. The value of s is: s ≥ 38. 4. Vin can save at least $38 from now until the end of the month to meet his goal of saving at least $100.

A mathematical statement illustrating the relationship between two amounts or expressions that are not always equal is known as an inequality. To represent the connection between the two values, an inequality may employ a number of symbols, including (less than), > (greater than), (less than or equal to), or (greater than or equal to). In algebra and other branches of mathematics, inequalities are frequently used to indicate restrictions, such as limitations on a variable, and to address issues with variables or unknown numbers. An inequality's solution, which may be a range of values rather than a single value, is the collection of all values that meet the inequality.

1. Let us suppose the amount saved = s.

2. The inequality is 62 + s ≥ 100

3. Solving for s we have:

62 + s ≥ 100

s ≥ 100 - 62

s ≥ 38

On the number line, all values greater than or equal to 38 would satisfy this inequality.

4. Vin can save at least $38 from now until the end of the month to meet his goal of saving at least $100.

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ1

It would take approximately 15.7 years for $6,000 to grow to $18,000 at a 7% continuous compound interest rate.

To find out how long it would take for $6,000 to grow to $18,000 at a 7% continuous compound interest rate, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:
A is the final amount ($18,000)
P is the principal amount ($6,000)
e is Euler's number (approximately 2.71828)
r is the interest rate (7% or 0.07)
t is the time (unknown)

Plugging in the values, we have:

$18,000 = $6,000 * e^(0.07t)

Dividing both sides by $6,000, we get:

3 = e^(0.07t)

Taking the natural logarithm of both sides, we have:

ln(3) = 0.07t

Now, we can solve for t by dividing both sides by 0.07:

t = ln(3) / 0.07 ≈ 15.7 years

So the answer is 15.7 years.

Learn more about Euler's number from the given link:

https://brainly.com/question/30639766

#SPJ11

The ship and the iceberg will collide after 7.54 hours.

aeV

Answer:

32.43 (rounded)

Step-by-step explanation:

Answer:

32.4285714

Step-by-step explanation:

11.35/0.35=32.4285714

This is the answer however if your question has asked to round it to two decimal places the answer would be 32.43

i hope this helps

Rainfall decreases as latitude increases between thirty and sixty degrees latitude is the best description of the rainfall trend.

At thirty degrees latitude, the Intertropical Convergence Zone (ITCZ) is located, which is a band of low pressure that circles the Earth near the equator.

This zone experiences high precipitation due to the rising and falling of air masses caused by the warm equatorial waters. As we move away from the equator towards sixty degrees latitude, the ITCZ shifts northward and the land and sea temperatures decrease, resulting in less precipitation and less humidity.

This trend is known as the latitudinal rainfall gradient, which states that precipitation decreases as latitude increases. This can be observed in the subtropical regions such as the Mediterranean, the western United States, and the southern parts of Africa, among others.

Also, the trade winds blowing from east to west towards the equator, which are prevailing winds in the tropics, push the clouds and precipitation towards the equator, this is why the equatorial regions receive more rainfall than the regions located away from the equator.

You can learn more about latitude at:

brainly.com/question/28606059

#SPJ4

Answer:

Number 3) 8x + 11 = 315

Answer: 38

equation number 3

Step-by-step explanation:

8x+11=315

    -11   -11

8x=304

304 ÷8

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

For more questions on: compound interest

https://brainly.com/question/31474686

#SPJ8

Answer:

x=4

Step-by-step explanation:

first, you have to add all of the sides up:

x+2x+x+3x+7+5x-4=12x+7-4=12x+3

12x+3=51. now, we can subtract 3 from both sides, so that we can isolate x.

     -3  -3

12x=48

x=4

Answer:

-5,3

Step-by-step explanation:

Answer:

166.67%

Step-by-step explanation:

=100×2.4/1.44

=166.67%