Trace is buying notebooks. Each notebook is $2 off the original price. He buys 8 notebooks for $28. What is the original price of a notebook?

Answer:

0.2 x 25 = 5

0.3 x 75=22.5

22.5+5=27.5

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. In this case, it appears that "some" means "4". The total cost of 4 place mats and 4 napkin rings is apparently ...

  $17.16 +10.36 = $27.52

Then the total cost of 1 of each is 1/4 this amount, or ...

  $27.52/4 = $6.88

__

2. The average of three numbers is their sum, divided by 3.

  (2.4 + 1.9 + 3.2)/3 = 7.5/3 = 2.5

Brian lost an average of 2.5 pounds per week.

Answer:

472

Step-by-step explanation:

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

Answer:

B

Step-by-step explanation:

Center of the distributions -> mean/median (preferably mean)

The option with range is eliminated

Median might not be accurate as median is the center person, not the center result.

Based on the graphs, identify the graph with the intervals of greatest frequency.

For North Heights -> between 30 and 32 (right-skewed, some higher values)

For Southview -> between 28 and 30 (most concentrated there)

Hence, mean of Southview is lower than North Heights.

Answer:

17 is the correct answer

Answer:

I think it's the remaining students, 17.

Step-by-step explanation:

15 + 18 = 33 (students that like one subject but not the other)

33 + 5 = 38 ( adding 5 because of the 5 student that dislike both)

38 is the number of students that either don't like both subjects or like one but now the other, so now you would subtract it by the total number of students (55).

55 - 38 = 17

The remaining students are who I believe like both subjects. The remaining number of students are 17.

Answer:

B

Step-by-step explanation:

[tex]f(x)=a^x[/tex]

x  is the exponent, so [tex]f(b)=a^b \text{ and }f(c)=a^c[/tex].

That makes [tex]f(b) \cdot f(c) =(a^b)(a^c)=a^{b+c}[/tex].

b + c is the exponent, so it takes the place of x.

[tex]a^{b+c}=f(b+c)[/tex]

Answer:

8ft. 9in.

+13ft. 7in.

_________

22ft. 4in.

because 12 in.= 1 ft. so 9+7=16

16-12=4

so 12in.=1 ft. , as 12 in, got carried by 1ft.

Answer: (-3,20) (2,35)

Step-by-step explanation: well if the 2 is an exponent then this is the answer, I don’t know the step by step though sorry. <3

The equation of the line passing through the points (-2,9) and (1,3) is

y = -2x + 11 where the slope is -2 and the y-intercept is +11

The equation of a line can be formed with the help of the slope of the line and a point on the line. The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis. The point refers to a point in the coordinate system with the x coordinate and the y coordinate.

m = (y2 - y1) / (x2 - x1)

y1 = 9

y2 = 3

x1 = -2

x2 = 1

m = (3 - 9) / (1 - (-2))

m = - 6 / 3

m = - 2

The equation of the line;

m = (y - y1) / (x - x1)

-2 = y - 9 / x - 1

y - 9 = -2(x - 1)

y - 9 = -2x + 2

y = -2x + 11

Therefore the y-intercept is +11.

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The number of Dvds owned by Maarissa is 45

The given parameters that will guide us in finding the number  of dvds owned by marissa are

Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa.

Let the number of dvds owned by Marissa be x

Nymber of dvds owned by Kyle be y

This implies that  x+y = 66 ............................1

also, 2y + 3 = x ..................................................2

Substitute x = 2y + 3 in equation 1

= 2y + 3+y =66 Collecting like terms

⇒ 3y = 63

Making y the subject of the relation we have y=21

Recall that  2y + 3 = x

That means x = 2(21) + 3

x=45

Therefore Marrissa owns 45 dvds

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Answer:B all integers

Step-by-step explanation: took the test

The option second all integers are correct because for every value of the x the function will always give an integer value.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function

f(x)= 4[X-3]+ 2

f(x) represents the greatest integer function, which means for every value of the x the function will always give an integer value.

The function will be discontinuous for all integers.

Thus, the option second all integers are correct because for every value of the x the function will always give an integer value.

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The capacity of the tank is 3000 liters

We would first find the volume of concrete:

(0.1*1.5*1*2)+(0.1*1.5*2(0.1*2))*2)+(0.1*1.2*2.2)

=0.3+0.66+0.264

=[tex]1.224 m^3[/tex] of concrete

The capacity of the tank in liters:

1x2x1.5

=[tex]3m^3[/tex] or 3000 liters

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If you list the number of tickets sold over time, the kind of sequence will you see is a geometric sequence.

What is a geometric sequence?

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Here,

We assume that the variable x represents the number of tickets sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression that models this situation is given by geometric sequence:

x, 7x, 49x, 343x, .....

Verification:

7/1 = 49/7 = 343/49 = 7

Hence, this is a geometric sequence.

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Answer:

x would be 18

Step-by-step explanation:

180 degrees in a traingle, subtract 90 for the right angle and then you are left with 5x = 90

x = 90/5

x = 18

find each angle using x from here

Answer:

Angle T is 36 degrees

Angle V is 54 degrees

Step-by-step explanation:

x=18

Answer:

28°, 62°

Step-by-step explanation:

As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.

Here are all the acute angles in order:

[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]

[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]

Answer:

11.2

Step-by-step explanation:

First draw an imaginary straight line to separate the two shapes.

You will have a side of 10 in the traingle

And a side of 13 - 8 =5

Then

Using pythagoras theorem

Sqrt(10^2+5^2)=11.180

Answer:

y = -3/4x + 52

y + 6 = -3/4(x-8)

Step-by-step explanation:

y = mx + c

as long as the number is -3/4x , it represents slope -3/

Answer:

B. y = -3/4x + 52, C. y + 6 = -3/4(x - 8), and F. 3x + 4y = 9

Step-by-step explanation:

A. -3x + 4y = -34

y = 3/4x - 17/2

Slope = 3/4

INCORRECT

B. y = -3/4x + 52

Slope = -3/4

CORRECT

C. y + 6 = -3/4(x - 8)

y = -3/4x

Slope = -3/4

CORRECT

D. 4x + 3y = -22

y = -4/3x - 22/3

Slope = -4/3

INCORRECT

E. 4x - 3y = 48

y = 4/3x - 16

Slope = 4/3

INCORRECT

F. 3x + 4y = 9

y = -3/4x + 9/4

Slope = -3/4

CORRECT

G. y - 6 = 3/4(x - 8)

y = 3/4x

Slope = 3/4

INCORRECT

Answer:

8 hours

Step-by-step explanation:

21/3=7 and 56/7=8

Answer:

She worked for 8 hours

Step-by-step explanation:

She earned $21 for 3 hours 21 divided by 3 is 7 so $7 an hour. She made $56 so 56 divided by 7 = 8 hours

The values of the variables in the circles are

From the question, we have the following parameters that can be used in our computation:

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

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Answer:

"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."

The correct solution is: x = -10, y = -38

Step-by-step explanation:

2x - y = 18

y = 4x + 2

Substitute the given value for y into the first equation:

2x - (4x + 2) = 18

2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y

-2x -2 = 18

add 2 to both sides

-2x = 20

divide by -2

x = -10

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

solve for y

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

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

Check the math:

2x -  y = 18

2(-10) - (-38) = - 20 + 38 = 18

Answer:

i cant see it

Step-by-step explanation:

Answer:

0.1611

Step-by-step explanation:

Uaing the binomial probability relation :

p = 0.5 ; q = 1 - p = 0.5

n = 10

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 7) = 10C7 * 0.5^7 * 0.5^3

P(x = 7) = 0.1172

x = 8 ;

P(x = 8) = 10C7 * 0.5^7 * 0.5^3

P(x =8) = 0.0439

P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611

Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet

Step-by-step explanation:

1 / 6 = 0.166666667 yards

1 yard = 0.9144 meters

0.9144 / 6 = 0.1524 meters

1 yard = 3 feet

3 / 6 = 0.5 feet

will she have enough time for 12 slides?  we dunno, but we know it takes 1/6 hour to make one hmmm for 12 slides that'd be simply their product

[tex]\stackrel{slides}{12}\cdot \stackrel{\textit{it takes one}}{\cfrac{1}{6}}\implies \cfrac{12}{6}\implies 2~hours\qquad \textit{yeap, she has enough time}[/tex]

she even has an extra 30 minutes to check out what's for dinner.

Answer:

RTS=(180-112)/2

=68/2

=34