how many seconds were in the month of February 2017? and how did you calculate the answer?

Answer:

Selling price= $6.53

Step-by-step explanation:

Giving the following information:

A bookstore pays $4.50 for a novel. The percent of markup is 45%.

To calculate the selling price, we need to use the following formula:

Selling price= purchase price*(1 + mark up percentage)

Selling price= 4.5*1.45

Selling price= $6.53

Answer:

(x+2)^2

Step-by-step explanation:

Answer:

A=18.1, B=72.4, and C=89.5

Step-by-step explanation:

Where A, B and C represent their respective angles:

We are given that:

B=4A

C=5A−1

And since ABC make up a triangle, we know that:

A+B+C=180

Since we have three variables and three equations, we can solve for A, B, and C. To solve for A:

Take the equations B=4A and C=5A−1, and plug B and C into the last equation:

A+B+C=180

A+4A+5A−1=180

10A – 1 + 1 = 180 + 1

10A=181

10 /10 x A = 181/10

             A = 18.1

Then we can plug this value into the first two equations to solve for B and C:

B=4A

B=4(18.1)=72.4

C=5A−1

C=5(18.1)−1= 90.5 - 1=89.5

So A=18.1, B=72.4, and C=89.5

Hope this helps!

The size of ∠A is 18.1°.

The size of ∠B is  72.4°.

The size of ∠C is 89.5°.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC

∠A = x

∠B = 4x

∠C = 5x - 1

Now,

The sum of all the angles in a triangle is 180.

This means,

x + 4x + 5x - 1 = 180

10x - 1 = 180

10x = 181

x = 18.1

Now,

∠A = 18.1°

∠B = 4 x 18.1 = 72.4°

∠C = 5 x 18.1 - 1 = 89.5°

Thus,

The sizes of the angles are:

18.1°, 72.4°, and 89.5°

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Answer:

the answer is 3x^2 + 22x + 7

Step-by-step explanation:

Expand the polynomial using the FOIL method.

hoped this helped!

brainly, please?

Answer:

3x^2+22x+7

Step-by-step explanation:

Answer:

It's -9/4 or -2 1/4. please mark me brainliest <3

Step-by-step explanation:

1) label x1, y1, x2, and y2.

x1     y1       x2 y2

(-12, 16)     (-4,-2)

2) Remember the formula is y2-y1

                                               --------

                                                x2-x1

3) substitute

-2-16

--------

-4-(-12)

4) two minuses (negatives) is a positive (+)

so,

-2-16             -18

---------=       --------

-4+12               8

5) simplify

-18 divided by 2          -9

-----                          =   -------    or -2 1/4

  8 divided by 2             4

Answer:

-1.75

Step-by-step explanation:

Answer:

The further compounding cycles in a given year, the greater the effect on the valuation of potential investment. Therefore, the more interest-posting dates, irrespective of the interest rate, the more compounding raises the account balance.

Step-by-step explanation:

Answer:

C

the computed value gets larger

Step-by-step explanation:

Answer:

(3, 7) is not a solution.

Step-by-step explanation:

In this question, we have to find out if the point (3, 7) is a solution to the equation.

To find your answer, you would plug in the coordinate into the equation and solve.

Solve:

y = 2x - 4

Plug in coordinate.

7 = 2(3) - 4

7 = 6 - 4

7 ≠ 2

Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.

Your answer would be (3, 7) is not a solution.

Answer:

1/4*(9x+130x-234/35

Step-by-step explanation:

get photomath

Answer:

There is not enough information to solve the problem.

Step-by-step explanation:

The question only gives the information that two angles are summing up to 68 degrees, but doesn't state what angles. As such, we can't determine any angles formed by parallel lines a and b, and transversal m.

The options that are true are (1), (3) and false ones are (2), (4).

The basis of all mathematical operations are the arithmetic operations. These operations include addition, subtraction, multiplication, and division.

The given options can be examined one by one as follows,

(1) The given number 20 may be expressed as a mathematical operation as follows:

20 = 10 × 2

Which implies it is two times that of 10.

Thus, it is true.

(2) The given number 10 may be expressed as a mathematical operation as follows:

10 = 20 ÷ 2

Which implies it is half of 20.

Thus, it is false.

(3) The given number 30 may be expressed as a mathematical operation as follows:

30 = 15 × 2

Which implies it is two times that of 15.

Thus, it is true.

(4) The given number 15 may be expressed as a mathematical operation as follows:

15 = 30 ÷ 2

Which implies it is half of 30.

Thus, it is false.

Hence, the true and false options are (1), (3) and (2), (4) respectively.

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Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042

This outcome would warrant a replacement cup.

Step-by-step explanation:

Let x be a random variable that represents the temperature of hot chocolates.

GIven: Mean temperature = 175 degrees

standard deviation = 8.1 degrees

The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]

[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]

Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)

i.e. this outcome would warrant a replacement cup.

Answer:

Step-by-step explanation:

4 h × (70 mi)/h = 280 mi

280 mi × (1 h)/(50 mi) = 5.6 h

The time taken by him to arrive at City B will be 5.6 hours.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.

V x T = Constant

The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.

Let 't' be the time. Then the equation is given as,

t x 50 = 4 x 70

50t = 280

t = 280 / 50

t = 28 / 5

t = 5.6 hours

The time taken by him to arrive at City B will be 5.6 hours.

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Answer:

2×=64

2×/2=64/2

×=32.....x is solved

Answer:

x=32

Step-by-step explanation:

when divided by 2, 64 is equal to 32

Answer:

166.1

Step-by-step explanation:

It would become 11.5 * 7 + 10.7 * 8 = 80.5 + 85.6 = 166.1

Answer:

x² +5x - 36

= x² - 4x + 9x - 36

= x(x - 4) +9(x - 4)

= (x - 4) (x+9)

so x = 4, - 9

Answer:

y=4

Step-by-step explanation:

We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.

The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.

The slope-intercept form of a line is y = mx + c.

Here, m = slope and c = y-intercept of the line.

The equation of the given line is x = - 4

Therefore, the given line is a vertical line.

Now, the line that is perpendicular to the line x = - 4, is a horizontal line.

Now, the horizontal line that passes through the point (- 3, 4) is y = 4.

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Answer:

WHAT DOES TGAT EVEN MEAN

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Average cost per litre of diesel = rs 8.00

Step-by-step explanation:

Amount spent on diesel each year = rs 4000

Price of a litre of diesel in the first year = rs 7.50

Price of a litre of diesel in the second year = rs 8.00

Price of a litre of diesel in the third year = rs 8.50

Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]

where n is the number of years.

Average cost per litre of diesel  =  [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]

                                                     = [tex]\frac{24}{3}[/tex]

                                                     = 8

Average cost per litre of diesel is rs 8.00

So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.

Answer:

x=21

Step-by-step explanation:

x/x+14=9/15

15x=9x+126

6x=126

x=21

Answer:

1/7

Step-by-step explanation:

-(x + 3) = 8x - 4 - 2x

-x - 3 = 8x - 4 - 2x

combine like terms

-x - 3 = 6x - 4

add

-x = 6x -1

subtract

-7x = -1

divide

x = 1/7

Answer:

x = 1/7

Step-by-step explanation:

-(x + 3) = 8x - 4 - 2x

-x - 3 = 8x - 4 - 2x

-x - 3 = 6x - 4

-x = 6x -1

-7x = -1

x = 1/7

Answer:

10 > w

Step-by-step explanation:

-2 > w-12

Add 12 to both sides of the equation in order to isolate w

This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.

Answer:

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

All girls from the first group:

20 students, so [tex]N = 20[/tex]

10 girls, so [tex]k = 10[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]

All girls from the second group:

20 students, so [tex]N = 20[/tex]

5 girls, so [tex]k = 5[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]

All girls from the third group:

20 students, so [tex]N = 20[/tex]

8 girls, so [tex]k = 8[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Answer:

Step-by-step explanation:

Distance from home plate to second base = 90√2 feet

Distance from third base to first base = 90√2 feet

60 ft 6 in = 60.5 ft

90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft

The pitcher's mound is not at the midpoint.

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

angle a is 110

angle B is 110

angle C is 70

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 6 x 3/2 = 18/2 = 9

hope this helped!

Answer:

2/2

Step-by-step explanation:

Answer:

171 fish

Step-by-step explanation:

512/3=170.667 (keeps going on but I just rounded it to add 1 to the total of 170) so that is why 171 is the answer.

Answer:

Step-by-step explanation:

d = rt

225km = 225,000m

225,000 = 35*t

t = 6,428.57 seconds

or 107.14 minutes

or 1 hour and 47 minutes