if p=the mounttain bike's orginal price in dollars, which algebraic expression represents the reduced price ?

Answer:

-31

Step-by-step explanation:

4(-2) + 5(-8) +17

=(-8) + (-40) + 17

=-31

Answer: 2

Step-by-step explanation:

120/72 = 5/3 or 1.6666

5/3 tutors needed however you cannot have a portion of a tutor so the academy actually needs 2 tutors.

Answer: 10 tutors

Step-by-step explanation: to simplify the numbers a bit we will do 72 students divided by 6 tutors to get 12 (72/6=12). This means we need 1 tutor for every 12 students. Therefore we can take the 120 students and divide that by 12 to get 10 (120/12=10) meaning we need 10 tutors for 120 students.

A divisibility rule is a simple method for determining whether or not an integer is divisible by a fixed divisor without having to divide it by looking at its digits.

The three-digit divisibility rule asserts that if the sum of a whole number's digits is a multiple of three, the original number is also divisible by three.

The total of all the digits in 1377 is 1+3+7+7 = 18. Because 18 is divisible by three, 1377 is likewise divisible by three. The quotient is 1377 3 = 459, and the remainder is 0.

The divisibility rule of 9 asserts that if a number's sum of digits is divisible by 9, the number is divisible by 9 as well.

The three-digit divisibility rule and the nine-digit divisibility rule are quite similar. As previously stated, the divisibility rule for the divisibility test of 3 asserts that if a number's sum of all digits is divisible by 3, the number is also divisible by 3. The divisibility rule of 9 is similar to the divisibility rule of 3, in that a number is said to be divisible by 9 if the sum of all of its digits is divisible by 9.

Take 52884 for example. 52884 is divisible by three since the total of all digits is 5+2+8+8+4 = 27. The quotient is 52884 ÷ 3 = 17628, and the remainder is 0. It's worth noting that the sum of the digits is 27 is 2 + 7 = 9, which is likewise divisible by three.

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A right-angled triangle is a triangle whose two adjacent sides form a right-angle triangle between them. The given triangle is a right-angled triangle.

A right-angled triangle is a triangle whose two adjacent sides form a right-angle triangle between them.

The slope of the sides of the triangle can be written as,

The given triangle is a right-angle triangle because the slope of the two lines is 1 and -1, whose product is -1. Therefore, the two lines are perpendicular to each other.

Hence, the given triangle is a right-angled triangle.

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The expression for Total discount for 20 group tickets is 5 m, Amount of discount per ticket is 0.25 m, Number of tickets is 20 and Cost of buying 20 single ticket is 20 m.

We have:

a discount of 25% per ticket if a group buys 20 or more tickets.

The expression 20 m - 20 (0.25 m) describes the total cost of buying 20 tickets for a group.

Total discount for 20 group tickets will be:

Total discount = 20 × 0.25 m = 5 m

Amount of discount per ticket = 5 m / 20 = 0.25 m

Number of tickets = 20

Cost of buying 20 single ticket = 20 m

where m = cost of buying 1 ticket.

Therefore, the expression for Total discount for 20 group tickets is 5 m, Amount of discount per ticket is 0.25 m, Number of tickets is 20 and Cost of buying 20 single ticket is 20 m.

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Answer: n > 2

Step-by-step explanation: n + 5 > 7

n > 7-5

n > 2

Answer:

No 1.  3/31

No 2. 3/8

No3. 3/16

Step-by-step explanation:

you mainly just turn it into an improper fraction and then turn it upside down

Brainiest, please :) tysm

Answer:

a) 3/31

b) 3/8

c) 3/16

Step-by-step explanation:

You take the mixed number, turn it into an improper fraction (to do that, you multiply the whole number with the denominator on the fraction, and then you take that number and add it to the numerator of the fraction), and then you flip that improper fraction.

Answer:

Hello,

Step-by-step explanation:

In the triangle ABG, using  law of sin

[tex]\dfrac{sin(121^o)}{7} =\dfrac{sin(41^o)}{AG} =\dfrac{sin(18^o)}{BG} \\\\AG=\dfrac{sin(41^o)*7}{sin(121^o)} =5.358(km)\\\\BG=\dfrac{sin(18^o)*7}{sin(121^o)} =2.526(km)\\\\CG=5+BG=7.526(km)\\\\GD=CG*sin(31^o)=3.875(km)\\\\AD=AG+GD=9.233(km)\\\\CD=CG*cos(31^o)=6.451(km)\\\\AC=\sqrt{AD^2+CD^2} =11.263(km)\\[/tex]

Work Shown:

804/d = 6/4

804*4 = 6d

3216 = 6d

6d = 3216

d = 3216/6

d = 536

A proportion is an equation stating that two ratios are equivalent.

Ratio is defined as the comparison of two quantities. The ratio between quantities a and b can be expressed as a : b or a/b.

example:

There are 3 girls for every 5 boys in a class. Then, the ratio of girls to boys is 3 : 5 or 3/5.

On the other hand, proportion is defined as the equality between two or more ratios.

a : b = c : d

Two ratios are equivalent if their cross-products are equal. Cross products are the products of the extremes and means.

If a : b = c : d, then ad = bc.

example:

2 : 3 = 6 : 9 is proportion since 2(9) = 3(6) ⇒ 18 = 18

3 : 5 and 4 : 6 is not a proportion since 3(6) ≠ 5(4) ⇒ 18 ≠ 20

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[tex]\angle g=112^{\circ}[/tex] (vertical angles)

[tex]\angle h=68^{\circ}[/tex] (linear pair)

[tex]\angle k=92^{\circ}[/tex] (vertical angles)

[tex]\angle m=88^{\circ}[/tex] (linear pair)

The system of equations  to represent the cost c for h hours of court use at each campus; c = 25h and c = 20h + 3.3.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given that we can choose between two tennis courts at two university campuses to learn how to play tennis.

The system of equations  to represent the cost c for h hours of court use at each campus;

The first campus charges 25 per hour.

c = 25h

Similarly The other campus charges 20 per hour plus a one-time registration fee of 10 .

c = 20h + 1/3(10)

c = 20h + 3.3

Therefore, the system of equations  to represent the cost c for h hours of court use at each campus; c = 25h and c = 20h + 3.3.

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Answer:

97

Step-by-step explanation:

only prime numbers between 50 and 100 are 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. The only one whose digit is two less than its tens digit is 97.

Step-by-step explanation:

4x+6+7x-9=12x-7-×

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

11x-3=12x-7

add the numbers

11x=12x-4

x=4

Substitution method of solving a system of equations replaces the variable with a value while elimination method of solving a system of equations removes the variable from the equations.

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

example:

Given two equations: x + 3y = 7 and 2x - 4y = 24, find the solution.

Using substitution method, express one equation to an equation of one of its variables(in terms of the other variable).

x + 3y = 7   ⇒   x = 7 - 3y

Substitute it to the other equation and solve for y.

2x - 4y = 24

2(7 - 3y) - 4y = 24

14 - 6y - 4y = 24

-10y = 10

y = -1

Substitute the value of y in any of the equations and solve for x.

x = 7 - 3y

x = 7 - 3(-1)

x = 7 + 3

x = 10

Hence, the solution is (10 , -1).

Using elimination method, multiply the first equation by 2 so that if we add or subtract it to the second equation, a variable will be removed.

x + 3y = 7   ⇒   2x + 6y = 14

Subtracting equation 2 from equation 1,

2x + 6y = 14

2x - 4y = 24

0x + 10y = -10

y = -1

Substitute the value of y in any of the equations and solve for x.

x + 3y = 7

x + 3(-1) = 7

x = 7 + 3

x = 10

Hence, the solution is (10 , -1).

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The measures for a = 10 cm , b = 12cm, and acute angle b =30°

A degree, is always denoted by ° (the degree symbol), known as a measurement of a plane angle in which one full rotation is 360 degrees.

Angle is the measure of the degree with which two lines are intersecting each other to form an orientation.

Acute angle is the measure of an angle which is greater than 0° and less than 90°. For example - 25°, 45° etc.

Triangle is the geometrical figure which is always made up of three sides aligning together to form a closed figure. There are various types of triangles like Acute angle triangle, Right angles Triangle, Obtuse angles triangle, etc.

Acute Angles Triangle is the triangle which consists of al three angles less than 90° but greater than 0°. And it can have any length of sides but the bar minimum condition is to have all three angles in acute form.

We need to find the measures of a, b, acute angle b to make exactly one triangle

As it is the necessary observation that, for one measurement there is only one and only one figure exists which is unique in nature.

Hence, the measure of a, b, c are a = 10 cm , b = 12cm, and acute angle b =30°

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Answer:

4

Step-by-step explanation:

The factors of 484 are: 1, 2, 4, 11, 22, 44, 121, 242, 484

The factors of 628 are: 1, 2, 4, 157, 314, 628

Then the greatest common factor is 4.

The required amount of weed killer is 48.6 quarts.

To find the amount of weed killer required, first we will find the total acres of land of two fields.

So, total area of land is -

Area of land = [tex]22\frac{1}{2} + 38\frac{1}{4}[/tex]

Converting mixed fraction to fraction

Area of land = ((2×22)+1)÷2 + ((4×38)+1)÷4

Solving the bracket -

Area of land = 45÷2 + 153÷4

Area of land = 22.5 + 38.25

Area of land = 60.75 acres

Now, for 1 acre of land the required amount of weed killer = 0.8 quarts

So, for 60.75 acres of land the required amount of weed killer = 0.8×60.75

Performing multiplication to find the amount of weed killer

Amount of weed killer required = 48.6 quarts

Hence, the amount of weed killer required is 48.6 quarts.

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The complete question is -

Alan is putting weed killer on a field to get it ready for planting. The directions on the container say to use 4/5 of a quart for each acre of land. How much weed killer will Alan need for two fields, one that is 22 1/2 acres and one that is 38 1/4 acres?

Answer:

:D

Step-by-step explanation:

1.) One ticket out of eighty can be represented by a fractions, 1/80. To find the percentage, you can change 80 to 100 proportionally and then the difference (multiply/divide) to the 1 to find the percentage. You can also cross multiply to find the answer ("a")

[tex]\frac{1}{80} =\frac{x}{100}[/tex]

0.0125 is the chance of getting the ticket, and multiply by 100 to get percentage.

a = 1.25%

2.)
Same thing as #1, different equation :)

[tex]\frac{5}{80} =\frac{x}{100}[/tex]

x = 6.25%

3.)
Same thing as #2, but now, on the bottom is not 80, but instead 70.

[tex]\frac{5}{70} =\frac{m}{100}[/tex]

m = 7.14285714286%

m = 7.14%

Answer:

12a) 1/80=0.0125 = 1.25%

12b) 5/80=0.0625 = 6.25%

12c) 5/70=0.07142 = 7.14%

Step-by-step explanation:

Using vectors, and the relation between velocity and position, it is found that:

a) The speed is given by: v(t) = 2i - 5j.

b) The position vector p at time t hours is: p(t) = (2t  + 8)i + (-5t + 3)j.

c) The ship is due north of the lighthouse at a time of 6 seconds.

d) The ship is 23 miles from the lighthouse at this point.

The position function is the integral of the velocity function.

As stated in the problem, the velocity is constant, hence:

The speed is given by: v(t) = 2i - 5j.

The position is the integral of the velocity, hence, integrating each component.

[tex]p(t) = \int v(t) dt[/tex]

[tex]p(t) = \int (2i - 5j) dt[/tex]

p(t) = (2t + k1)i + (-5t + k2)j.

Considering the initial position, we have that:

k1 = 8, k2 = 3.

Hence:

The position vector p at time t hours is: p(t) = (2t  + 8)i + (-5t + 3)j.

The ship is due north of the lighthouse(20i - 50j) when it has the same x-coordinate, hence:

2t + 8 = 20

2t = 12

t = 6.

Hence:

The ship is due north of the lighthouse at a time of 6 seconds.

The position of the ship at t = 6 seconds is:

(2(6) + 8)i + (-5(6) + 3)j = 20i -27j.

The distance is given by:

|-50 - (-27)| = |-23| = 23.

The ship is 23 miles from the lighthouse at this point.

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The probability of the event P(A is on [tex]\bar{CD}[/tex]) is 6/13.

Probability:

The term probability defines the possibility of the favorable event across the total event.

Given,

Point A is chosen at random on [tex]\bar{BE}[/tex].

Here we need to find the the probability of the following event.

P(A is on [tex]\bar{CD}[/tex]).

Let us consider the following image, in order to solve this.

Based on the image we have identified that the probability of the event  P(A is on [tex]\bar{CD}[/tex]) is calculated by dividing the length of CD by the length of BE.

So, the probability of the event P(A is on [tex]\bar{CD}[/tex]) is,

P(A is on [tex]\bar{CD}[/tex]) =  (length of CD) / (length of BE)

Apply the values then we get,

P(A is on [tex]\bar{CD}[/tex]) = 12 / ( 5 + 12 + 9)

P(A is on [tex]\bar{CD}[/tex]) = 12 / 26

And it can be simplified as,

P(A is on [tex]\bar{CD}[/tex]) = 6/13

Therefore, the probability of the event P(A is on [tex]\bar{CD}[/tex]) is 6/13.

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It should be y = -3

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

Sorry if I'm wrong!

Have a great day and God bless! :)

Answer:

y = -3

Step-by-step explanation:

3, -3 = 3

18, -3 = 15

15, -3 = 12

12, -3 = 9

9, -3 = 6

6, -3 = 3

Answer:

(a): 26.1

(b): 27.9

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,0) and (3, 78.3)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

78.3-0/3-0=78.3/3=26.1

Answer for (a) is 26.1

(b):

Use points (4, 147.6) and (9, 287.1)

Use slope formula.

y2-y1/x2-x1

287.1-147.6/9-4=139.5/5=27.9

The answer for (b) is 27.9

Hope this helps!

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Have a great day!

about 90.4% 20  is the probability that at most one of them recycles.

In statistics, what does a probability mean?

P( one) = p ( 1 only ) + p ( 2nd only) + p ( neither)

            = ( 0.31) ( 0.69) + ( 0.69 )( 0.31) + ( 0.69) ( 0.69)

            ≈ 0.9039

So, the probability that at most one of them recycles is about 90.4%.

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Measure of angle 2 i.e. m∠2 = 130°

The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.

As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.

In the question,

Let given angle is ∠8.

Given, ∠8 = 50°

Now, according to vertical angle property

∠5 = ∠8

therefore, ∠5 = 50°

Also, ∠5 = ∠4 = 50° (alternate interior angles)

As, ∠4 and ∠2 are supplementary angles

Hence, ∠4 + ∠2 = 180°

50° + ∠2 = 180°

∠2 = 130°

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The complete question is :

Find measure m∠2

Answer: A, false

Step-by-step explanation:

The left side 123 does not equal to the right side 1801088541, which means that the given statement is false.

Answer:

9 cupcakes on Saturday

Step-by-step explanation:

(p + 3) more than p is p + p + 3 = 2p + 3

on Saturday she baked p

on Sunday she baked 2p + 3 , then

p + 2p + 3 = 30

3p + 3 = 30 ( subtract 3 from both sides )

3p = 27 ( divide both sides by 3 )

p = 9

She baked 9 on Saturday and 21 on Sunday

Answer:

I would say the unit rate is 0.16

Step-by-step explanation:

I say this because to calculate unit rate we have to divide the denominator with the numerator in a way that the denominator becomes

1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 

Answer:

x = 7

Hope this helps :)

Explanation and Check part below.

Step-by-step explanation:

1. Isolate variable by doing the inverse operation which is in this case subtracting 9 on both sides of the equation.

3x + 9 = 30

- 9 - 9

3x = 21

2. Divide both sides of the equation by 3 since this is the inverse operation.

3x = 21

--- ---- <-------- fraction bar, divide

3 3

x = 7

Check:

3(7) + 9 = 30

21 + 9 = 30

30 = 30 ✓