If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.

Answer:

57

Step-by-step explanation:

a pec

Option A is correct, the value of y is 57 degrees in the triangle.

We have to find the value of y in the given triangle.

Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.

We know the straight line has an angle of 180 degrees

114+x=180

x=66 degrees.

By angle sum property the sum of three angles is 180 degrees.

66+y+y=180

66+2y=180

Subtract 66 from both sides:

2y=180-66

2y=114

Divide both sides by 2:

y=57 degrees

Hence, the value of y is 57 degrees in the triangle.

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Answer:

6 square units

Step-by-step explanation:

In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.

I got 3 unites for the height and 4 units for the base

4 x 3 = 12 square units

however the formula for a triangle is Ab/2

so divide 12/2 = 6

So its 6 square units

Answer:

 35x - 2

 ———————

    5                  

i hope this helps

Step-by-step explanation:

Answer:

7x + 6/5 or 7x + 1 1/5

Step-by-step explanation:

Ya welcome.

Answer:

30

Step-by-step explanation:

- A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0

- A number is divisible by 3 if ist sum of digits is divisible by 3.

- A number is divisible by 5 if its last digit is a 5 or a 0.

_

The least 3 digit number divisible by 30 is 120 and the greatest is 990.

Answer: 30

Step-by-step explanation:

Divisible by 2,3 and 5 means divisible by 2*3*5=30

So we require to calculate number of multiples of 30 in the range 100 to 999.

The least 3 digit number divisible by 30 is 120 and greatest is 990.

This is an AP series with common difference 30.

First number is 120 and n'th number is 990.

We need to find n.

Using the AP series formula

120 + (n-1)*30= 990

or n= 30

There are 30 3-digit numbers divisible by 2,3 and 5.

Answer:

what is you belling? yesterday y monday

Answer:

see attached

Step-by-step explanation:

pleass see attached

Answer:

24 / 5 laps

Step-by-step explanation:

Fraction of laps run = 4/5 laps

Number of times lap was run = 6

Fraction representing total laps run :

6 * (4/5)

= 24 / 5

Or

24 /5 = 4 4/5 laps

Answer:

10 lunches

Step-by-step explanation:

$47-$7=$40

40/4=10

Hello, 928747!

So we are trying to find how many boxed lunches Janie ordered.

Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00

So to find this, we will first subtract the delivery fee because that does not count towards the lunches.

47 - 7 = 40

So the boxed lunches cost $40.00

To find how many Janie ordered, we will divide 4 by 40

40 ÷ 4 = 10

So Janie bought 10 boxed lunches.

The equation would be (47 - 7) ÷ 4

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Answer:

The segment bisector of FG is HI because it splits it into two equal parts. Since point F to the bisector equals 33 and the bisector to point G is the same, that would also be 33. 33+33=66=FG

Step-by-step explanation:

The measurement of the line segment FG is 66 units.

We need to identify the segment bisector of FG and then find FG.

A segment bisector is a line, a ray, a line segment, or a point that cuts a line segment at the centre dividing the line into two equal parts. The word segment can also be referred to as line segment which means a segment is a part of the line that has fixed endpoints. The word bisect means cutting any object or line into two equal halves. Hence, a segment bisector is referred to as when two line segments bisect or cut each other at a point dividing the lines into equal halves.

From the given figure, HI is the bisector of the line segment FG.

Given that, 1/2 (FG)=33 units

⇒FG=66 units

Therefore, the measurement of the line segment FG is 66 units.

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Answer:

the answer is    [tex]\frac{3x^{2} -10x+15}{4x^{2} -12x}[/tex]

Step-by-step explanation:  

Answer:

-3x2-6x-3+14 that is the answer

Step-by-step explanation:

x/-3

Answer: It will have to pay $36 in fees.

Step-by-step explanation: Hope this helps:) please mark me brainliest.

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve

Answer:

the slope is 2/3

Step-by-step explanation:

Answer:

[tex]=2x^{5} y^{5} \sqrt{7}[/tex]

Step-by-step explanation:

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point G divide the line segment FH in 8:2. Using section formula, we get

[tex]G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)[/tex]

[tex]G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)[/tex]

[tex]G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)[/tex]

[tex]G=\left(4.8,4.4\right)[/tex]

Therefore, the coordinates of point G are (4.8, 4.4).

The probability that 15 or more students in the sample are left-handed handed is 0.0752

(a) Why L can be a binomial distribution

From the question, we understand that 11% of the students are left-handed; this means that 89% are not left-handed

This, in other words means that:

For each observation, the student is either left-handed or not left-handed

Hence, the distribution can be represented by a binomial distribution

(b) The probability that 15 or more are left-handed

The sample size is given as:

[tex]\mathbf{n = 100}[/tex]

And the proportion is

[tex]\mathbf{p = 11\%}[/tex]

The mean of the dataset is:

[tex]\mathbf{\mu = np}[/tex]

[tex]\mathbf{\mu = 100 \times 11\%}[/tex]

[tex]\mathbf{\mu = 11}[/tex]

The standard deviation of the dataset is:

[tex]\mathbf{\sigma = \sqrt{\mu(1- p)}}[/tex]

So, we have:

[tex]\mathbf{\sigma = \sqrt{11 \times (1- 11\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{11 \times 89\%}}[/tex]

[tex]\mathbf{\sigma = \sqrt{9.79}}[/tex]

[tex]\mathbf{\sigma = 3.13}[/tex]

So, the probability is represented as:

[tex]\mathbf{P(x \ge 15)}[/tex]

Using continuity correction, we have:

[tex]\mathbf{P(x \ge 15) = P(x \ge 15.5)}[/tex]

Calculate the z-score for x = 15.5

[tex]\mathbf{z =\frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z =\frac{15.5 - 11}{3.13}}[/tex]

[tex]\mathbf{z =\frac{4.5}{3.13}}[/tex]

[tex]\mathbf{z =1.438}[/tex]

The probability is then calculated as:

[tex]\mathbf{P(x \ge 15) = P(z \ge 1.438)}[/tex]

Using z-tables of probabilities, we have:

[tex]\mathbf{P(x \ge 15) = 0.075217}[/tex]

Approximate

[tex]\mathbf{P(x \ge 15) = 0.0752}[/tex]

Hence, the probability is 0.0752

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Given:

[tex]\sqrt{2}=1.414[/tex]

To find:

The value of [tex]\sqrt{50}+\sqrt{72}[/tex].

Solution:

We have,

[tex]\sqrt{50}+\sqrt{72}[/tex]

It can be rewritten as

[tex]=\sqrt{2\times 25}+\sqrt{2\times 36}[/tex]

[tex]=\sqrt{2}\times \sqrt{25}+\sqrt{2}\times \sqrt{36}[/tex]        [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]=5\sqrt{2}+6\sqrt{2}[/tex]

[tex]=11\sqrt{2}[/tex]

Putting [tex]\sqrt{2}=1.414[/tex], we get

[tex]=11(1.414)[/tex]

[tex]=15.554[/tex]

Therefore, the value of given expression is 15.554.

Answer:

Kitten is 15 seconds and dog is 10 seconds

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds  and puppy eats a sausage in 10 seconds.

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time

Puppy and kitten eats one sausage combined in 6 sec.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.

Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.

As Puppy and kitten eats one sausage combined in 6 sec.Thus,

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]

Let above equation is equation one.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus

[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]

Put this value of [tex]x[/tex] in the  the equation one to get the value of y. Therefore,

[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]

[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]

[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]

[tex]y=15[/tex]

Thus the kitten eats a sausage in 15 seconds.

Put the value of y in equation one. thus,

[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]

[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]

[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]

[tex]x=10[/tex]

Thus the puppy eats a sausage in 10 seconds.

Hence the kitten eats a sausage in 15 seconds  and  puppy eats a sausage in 10 seconds.

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Answer:

A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.

Answer:

wheres the end of the question

Step-by-step explanation:

Sam opens a savings account with $800. He saves $50 per month. Assume that he does not withdraw money or make any additional deposits.

Answer:180

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 : define[/tex]

[tex]2x - 9 = x + 5[/tex]

[tex]2x = x + 5+ 9[/tex]

[tex]2x = x + 14[/tex]

[tex]2x - x = 14[/tex]

[tex]x = 14[/tex]

KL=2x-9

=2.14-9

=28-9

=19

Answer:

1/3!

Step-by-step explanation:

Look us Cymath on g0ogle, its a calculator that shows its work!

Answer:

Rhombus

Step-by-step explanation: