Mathematics College

Sam Bought a shirt for $27 after a discount, He said he bought the shirt at a 10% discount, What was the original selling price of the shirt?

Answers

Answer 1

Answer:$37.00

Step-by-step explanation: hope it helps

Related Questions

if you need 4/5 of a cup for one pie how many do cups do you need for 9

Answers

hey!

Given ,

For one pie , 4/5

For 9 pie = 4/5 x 9 = 36/5

Hope this helps :)

Answer:

if you simplefy it, it would be 7 1/5

Step-by-step explanation:

see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and 1/5

A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour

Answers

The loin's speed in miles per hour will be 53.31 miles per hour.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

It is given that:-

lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hour

Now to find the speed of a lion in miles per hour we have the following relationship.

[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]

Therefore the loin's speed in miles per hour will be 53.31 miles per hour.

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Select all of the values of x that make the inequality -x+6= or grater than 10
true.

Answers

Answer:

2/5

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:

Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer choices:

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

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

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

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

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

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

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

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

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

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

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

[Matthew1756654]

What is the radius of oT?
Answer Here
+
21
20
R

Answers

The length of the half chord is given as 21. The length of the perpendicular drawn from the center to the chord is 20. The radius would be 29 units.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The length of the half chord is given as 21.

The length of the perpendicular drawn from the center to the chord is 20.

By Pythagoras' Theorem

[tex]|r|^2 = |21|^2 + |20|^2\\\\|r|^2 = 441 + 400\\\\|r|^2 = 841\\\\|r| = \sqrt{841} \\\\r = 29[/tex]

The radius of the circle would be 29 units.

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2. (07.01)
In a city school, 70% of students have math class, 65% have science class, and 45% have math
and science class this semester. What is the probability (rounded to the nearest whole percent)
that a randomly selected student will have science class this semester, given that the student is in
math class? (1 point)
Hint: P(AB)
P(ANB)
P(B)
O 93%
20%
69%

Answers

Answer:

[tex]P(\text{Science}|\text{Math})\approx64\%[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=\frac{0.45}{0.70}\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%[/tex]

None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with

Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5

Answers

Answer:

p=13.5

Step-by-step explanation:

know: complementary angles add to 90

(2p+9) +4p =90

6p +9 =90

6p= 81

p= 81/6 = 13.5

Yellow Bird launches from point (10,0). His flight path reaches a maximum height of 22 yards and lands at point (42, 0).

Answers

The Equation for the launch of the yellow bird is y = -0.1( x - 26 )² + 20

what will be the equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values

Given:

Starting position of the bird = ( 10 , 0 )

Final position of the bird = ( 42 , 0 )

Maximum Height of the bird = 20 yards

To find: Equation that represent this condition.

Clearly, Birds flight path is not a straight line. It has a curved path.

So, the path bird follow is a PARABOLA.

Standard Equation of the parabola in vertex form, y = a( x - h )² + k

where ( h , k ) is the vertex of the parabola.

In our Question , vertex is the point at the highest position.

Vertex will be 20 yard above the mid point of the starting and final position.

Using Mid-Point Formula,

Mid-Point of ( 10 , 0 ) & ( 42 , 0 ) =

Now, the vertex = ( 26 , 0 + 20 ) = ( 26 , 20 )

⇒ Equation, y = a( x - 26 )² + 20

Now, we find value of by substituting value of (10 , 0) in the equation,

⇒ 0 = a( 10 - 26 )² + 20

a( -16 )² = -20

a(256) = -20

a = -20/256

a = −0.078125

a ≈ -0.1

Therefore, The Equation is y = -0.1( x - 26 )² + 20

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Solve the system of equations.
y=x²-5
y= -2x+3
A. (-2, 7) and (4,-5)
OB. (-4, 11) and (2, -1)
OC. (2,-1) and (4,-5)
OD. (-4, 11) and (-2,7)

Answers

[tex]y= x^2 -5~~~~~~...(i)\\\\y = -2x +3~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~~~x^2 -5 = -2x+3\\\\\implies x^2 -5 +2x -3 = 0\\\\\implies x^2 +2x -8 = 0 \\\\\implies x^2 +4x -2x -8 = 0\\\\\implies x(x+4) -2(x+4) = 0\\\\\implies ( x+4)(x-2) = 0\\ \\\implies x = -4,~ x = 2\\\\\text{Substitute x = 2 in eq (ii)}:\\\\y = -2(2) +3 = -4 +3 = -1\\\\\text{Substitute}~ x = -4 ~\text{in eq (ii)}:\\\\y = -2(-4) +3 = 8 +3 = 11\\\\\text{So,} ~(x, y)=\{(2,-1), (-4,11) \}\\\\\text{Hence the answer is option B.}[/tex]

A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?

Answers

Answer:

the dimensions of the rectangle are 34cm and 15cm

Step-by-step explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer: 34x15

Step-by-step explanation:

A rectangle

Knowing the properties of a rectangle, the opposite sides are equal and parallel.

Determine formula

Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]

Solve for X

Side 1:

[tex]((2(3x-1))*2)[/tex]

[tex]((6x-2)*2)[/tex]

[tex](12x-4)[/tex] simplified

Side 2:

[tex]((2x+3)*2)[/tex]

[tex](4x+6)[/tex] simplified

Solve:

[tex](12x-4) + (4x+6) = 98[/tex]

[tex]16x+2=98[/tex]

[tex]16x=96[/tex]

[tex]\frac{16x}{16} = \frac{96}{16}[/tex]

[tex]x = 6[/tex]

Substitute x

[tex]2(3(6)-1) = 34[/tex]

[tex](2(6)+3) = 15[/tex]

The dimensions of this rectangle are 34x15.

Pls, look at the picture for the question.

Answers

B. 9*10^16 (because in question give it)

B. 3*10^9 (because answer to first question is divided by seconds in one year (365*24*60*60).

Answer:

1. 9 * 10^15 meters per years

2. 3*10^8 meters per second

Step-by-step explanation:

Light travels is given 9,... m per year.

They ask how many meter light trravels per years.

They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.

Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.

Converting meters per year to meter per seconds

[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]

The answer should be 2.8*10^8 or 3*10^8 meters per second

True or False.

arcsin (sin theta ) = theta for all theta

The answer is true, but I am looking for an explanation.

Answers

The statement is true because the arcsin function is defined to be the inverse of the sin function.

What are inverse functions?

For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:

f(g(x)) = x

g(f(x)) = x

Now, particularly for the sin function, arcsin is defined as the inverse function.

Then by definition, arcsin must meet the conditions:

arcsin(sin(x)) = xsin(arcsin(x)) = x

So the answer is true for the definition of the arcsin function.

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Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?

A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2

Answers

The value of theta where we do not have a vertical asymptote is θ = 0.

Where we do not have a vertical asymptote?

The vertical asymptotes happen when the denominator becomes equal to zero.

For our case, we have:

tan(θ) = sin(θ)/cos(θ).

So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.

Then the correct option is B.

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Solve for X, will mark brainliest if right

Answers

Answer:

x = 8

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{RG}{FG} =\frac{SH}{FH}[/tex]40 / 7x + 14 = 44 / 33 + 4440 / 7x + 14 = 44/77 = 4/740(7) = 4(7x + 14)280 = 28x + 5610 = x + 2x = 8

Line j is parallel to line k. Find the m

Answers

Answer:

- 8.14 = m = slope

Step-by-step explanation:

We know from the diagram that 8x-7 + 5x+18 = 180 so x = 13

so 8x -7 = 97

slope = tan 97 = -8.14

rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]