What is the coefficient of 5a^2-7

Step-by-step explanation:

2C – 3B = 2(1+5n-6n²)-3(n+4n²)

= 2+10n-12n²-3n-12n²

= 2 +7n -24n²

The expression (2C-3B) equals to (-24x²+7x+2)

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression, C = 1+5n-6n² and B = n+4n²

2C = 2+10n-12n²

3B = 3n+12n²

2C-3B = 2+10n-12n² - 3n-12n²

= -24n²+7n+2

Hence, The expression (2C-3B) equals to (-24x²+7x+2)

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

9,000 shoppers

Step-by-step explanation:

14,000÷14=1,000 1,000×5=5,000 14,000-5,000=9,000

Answer:

log base of 8 of 1

Step-by-step explanation:

i did this

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

For more questions on probability

https://brainly.com/question/251701

#SPJ8

Answer:

p=11

Step-by-step explanation:

59+8p+3p=180

59+11p=180

-59.        -59

11p=121

/11.  /11

p=11

hopes this helps

Answer: The area of the floor of the hall is approximately 599.2448 square meters.

Step-by-step explanation: Let's assume the breadth of the hall be x meters. Then, the length of the hall will be 2x meters and the height will be 3x meters.

The volume of the hall can be found as follows:

Volume = Length × Breadth × Height

36000 = 2x × x × 3x

36000 = 6x³

x³ = 6000

x = ∛6000 ≈ 17.32 meters

Therefore, the breadth is approximately 17.32 meters, the length is 2 × 17.32 = 34.64 meters, and the height is 3 × 17.32 = 51.96 meters.

The area of the floor can be found by multiplying the length and breadth:

Area = Length × Breadth

Area = 34.64 × 17.32

Area = 599.2448 m²

Therefore, the area of the floor of the hall is approximately 599.2448 square meters.

The fraction which is closest to 1/2 is, 3/8. So option B is correct

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number 1/2

In decimal form = 0.5

Closest fraction number = ?

Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,

Lets take, A fraction 1/6

In decimal form it can written as,  0.167

Difference 1 =  0.5 - 0.167

                  =   0.333

Similarly, For numbers 3/8, 3/4, -1/2

Difference 2 =  0.5 - 0.375  = 0.125

Difference 3 =  0.5 - 0.75  = -0.25

Difference 4 =  0.5 - (-0.5)  =  1.0

It can be seen that,

Magnitude of difference in case of 3/8 is very less

Hence, the closest number is 3/8

To know more about Fraction check:

https://brainly.com/question/8482939

#SPJ1

2x = 74

x = 74 ÷ 2

x = 37

that's all

Answer:

x = 37

Step-by-step explanation:

x2 = 74

74 ÷ 2 = 37

therefore the answer is x = 37

Answer:

A, B, D

Step-by-step explanation:

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

Learn more about Probability here:

brainly.com/question/32117953

#SPJ1

Answer:

The scale factor represents the ratio between the measurements on the drawing and the actual measurements of the swimming pool.

Since the scale is 9 inches = 4 feet, we can simplify it by dividing both sides by 3. This gives us a scale of 3 inches = 1.33 feet, or approximately 1.33/1 feet.

To express this as a fraction, we can simplify the decimal by multiplying both the numerator and the denominator by 100, which gives us 133/100.

So the scale factor of the drawing is 133/100.

Answer: D

because the fraction is 60

The relative frequency of a head coming up is 0.60. The correct option is D.

Relative frequency is a statistical measure that represents the proportion or fraction of times a particular value or event occurs in a given dataset or sample space. It is calculated by dividing the frequency of an event or value by the total number of observations in the dataset.

The relative frequency of a head coming up is the ratio of the number of times a head comes up to the total number of coin flips. In this case, a head comes up 36 times out of 60 flips. Therefore, the relative frequency of a head coming up is:

36/60 = 0.6

So, the answer is D. 0.60.

To know more about relative frequency follow

https://brainly.com/question/30063075

#SPJ7

Answer:

The box has 11 layers

Step-by-step explanation:

Since there are 363 balls and each layer has 33 balls, we have to divide 363 by 33.

363÷33= 11

So, there will be 11 layers in the box.

Hope this helps!

Answer: 475 Add 5 more.

Step-by-step explanation:

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

To learn more about inequality here:

https://brainly.com/question/30231190

#SPJ1

Answer:

basically you're solving for x.

Step-by-step explanation:

x = 11/4 for exact form

in decimal form

x= 2.75

in mixed number form

x = 2 3/4

but in this case it's 2.75

Answer:

7/1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

Answer:

their down payment is 30%

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the price of the apartment is 140,000 dollars

lets find out how much is 1%

140,000/100=1400

42,000/1400=30  

42,000 is 30% of the apt price

49,000/1400=35

49,000 is 35% of the apt price

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

learn more on similar triangle here: https://brainly.com/question/29191745

#SPJ1

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

To learn more about financial incentives here:

https://brainly.com/question/29767675

#SPJ1

In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

Learn more about polynomial equation at:

https://brainly.com/question/19837586

#SPJ1

Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

Answer:

x = 14

Step-by-step explanation:

Knowing that this figure is a vertical angle.

Define vertical angles ⇒ a pair of opposite angles formed by intersecting lines

Thus, if the left side = 122

then the other side must equal 122

The equation is:

8x + 10 = 122

Subtract 10 from both sides

8x + 10 - 10 = 122 -10

8x = 122

Divide both sides by the same factor

8x/8 = 122/8

Simplify

x = 14

Thus, x = 14.

Kavinsky

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Answer:

Step-by-step explanation:

To solve this problem, we need to calculate Martha's out-of-pocket expenses, and the total amount of money she had to pay for her medical bills.

First, we need to calculate the amount of money Martha had to pay toward her deductible. Since her deductible is $200, this is the amount she had to pay out of pocket.

Next, we need to calculate the amount of money Martha had to pay toward her co-payment. Since her co-payment is 20%, we can calculate this by multiplying her medical bills by the co-payment rate: $6,500 x 0.2 = $1,300.

To find Martha's total out-of-pocket expense, we can add the amount she paid towards her deductible ($200) and the amount she paid towards her co-payment ($1,300):

$200 + $1,300 = $1,500

Therefore, Martha's out-of-pocket expense was $1,500.

Martha's insurance required her to pay a $200 deductible and a 20% co-payment on the remaining balance of her medical bills. After paying the deductible, she pays 20% of the remaining $6,300 which is $1,260. So, Martha's total out-of-pocket expense was $1,460.

Martha's health insurance plan includes a $200 deductible and a 20% co-payment. The deductible is the amount Martha has to pay before the insurance company starts to pay. In this case, Martha first pays a $200 deductible from her $6,500 medical bills, which leaves her with $6,300 to be covered by insurance and her co-payment. The 20% co-payment means Martha is responsible for paying 20% of the remaining $6,300. To calculate this, we multiply $6,300 by 0.20 (20%), which equals $1,260. Therefore, Martha's total out-of-pocket expense for her medical bills last year was the $200 deductible plus the $1,260 co-payment, equalling $1,460.

https://brainly.com/question/36325779

#SPJ2

Answer:

20 possible outcomes

Step-by-step explanation:

5 equal-sized sections x 4 sides of the die = 20

Answer: It would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

Step-by-step explanation: To calculate the break-even point, we need to determine the point at which the savings from the lower premium on Option 2 offset the higher deductible.

Option 1:

Annual Premium = $775

Deductible = $500

Option 2:

Annual Premium = $650

Deductible = $1000

Let x be the number of years without a claim.

For Option 1, the total cost over x years would be:

Total Cost = $775x + $500

For Option 2, the total cost over x years would be:

Total Cost = $650x + $1000

To find when the two options break even, we need to set these two equations equal to each other and solve for x:

775x + 500 = 650x + 1000

125x = 500

x = 4

Therefore, it would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

Answer:

a) 7600, 8000

b) 10500, 11000

c) 9400, 9000

d) 900, 1000

Step-by-step explanation:

Rounding......