Tony had 4 equal sets of the sports cards. He gave his friends 5 cards. Now he has 31 cards. How many cards were in each set

Answer:

\(A = \frac{r}{2}C\)

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

\(C = 2\pi r\)

Area is calculated as:

\(A = \pi r^2\)

The area can be rewritten as:

\(A = \frac{2\pi r^2}{2}\)

Further rewrite as:

\(A = \frac{r}{2}*2\pi r\)

Recall that:\(C = 2\pi r\)

So, the expression becomes

\(A = \frac{r}{2}*C\)

\(A = \frac{r}{2}C\)

Answer:

(7, 10)

Step-by-step explanation:

the coordinates of A are (7, 10)

Answer:

(7,10)

Step-by-step explanation:

The x-coordinate of A is between 6 and 8 = 7

Answer:

7

Step-by-step explanation:

7 is shown the most out of the 5 numbers

Answer:

7

Step-by-step explanation:

this because they show 7 3 times

Answer: s < $20

Step-by-step explanation:

Since Dawn has less than $60 and wants to buy 3 sweaters, then the price of sweaters that she can afford if all the sweaters are the same price will be:

(3 × s) < $60

where,

s = price of each sweater

3s < $60

Divide both side by 3

3s/3 < $60/3

s < $20

The price of each sweater is less than $20

Answer:

Step-by-step explanation: Angle A is 45 degrees so it represents 1/8 of a rotation. so it has a measure π/4 rads. Angle B is 90 degrees so it represent 1/4 of a rotation. so it has a measure of π/2 rads. Angle C represents 180 degrees so that represent 1/2 of a rotation so it has a measure of π rads. Angle D is 270 degrees so it represents 3/4 of a rotation . Therefore, Angle D has a measure of  6π/4.

The for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.

From the figure attached:

Angle A represents 1/8 of a full rotation. Therefore, Angle A has a measure of π/4 radians.  

Angle B represents 1/4 of a full rotation. Therefore, Angle B has a measure of π/2 radians.  

Angle C represents 1/2 of a full rotation. Therefore, Angle C has a measure of π radians.  

Angle D represents 3/4 of a full rotation. Therefore, Angle D has a measure of 6π/4 radians.

Thus, the for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

Learn more about the angle here:

https://brainly.com/question/7116550

#SPJ2

We are asked to determine the equation of the line given its y-intercept and its slope. To do that let's remember the general form of a line equation:

Where "m" is the slope and "b" is the y-intercept. Replacing the values we get:

And thus we get the equation.

Answer: This is evaluataion, To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Step-by-step explanation: In this situation you are going to divide the numerator and denominator by 2. For example 2/8 makes 1/4. 1/4 is equivalent to 2/8 but not fully simplified.

Another way to solve this is to reduce to lowest terms. For example, 5/15 is reduced by dividing the numerator and denominator by 5 to get 1/3.

Divide the numerator and denominator to get a decimal form of the fraction or divide 5+2 by 3+6

Answer:

Step-by-step explanation:

Because 12 and 11 are not the same number it could be added it it were 11^3 and 11^4. But in this case it cannot.

Answer:

Step-by-step explanation:

please help me

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

To learn more on Pythagorean theorem: https://brainly.com/question/14930619

#SPJ1

Answer:

B) 144°

Step-by-step explanation:

<AEC=108

<EDG= 180-108=72

<DEF=180-72=108

<AEF=360-108-108=144

Answer:

$6.42

Step-by-step explanation:

It's very simple, all you have to do is subtract 13.58 by the 20.00$, so you will get that.

Answer:

Graphing quadratic functions The shortcut to graphing the function f(x) = x2 is to start at the point (0, 0) (the origin) and mark the point, called the vertex. Note that the point (0, 0) is the vertex of the parent function only.

Step-by-step explanation:

Answer:

whole life insurance

Step-by-step explanation:

Answer:

Term life insurance and Universal life

Step-by-step explanation:

Answer: I think 53.1

Step-by-step explanation:

The object's temperature after 18.0 minutes is 425.83.

Given that,

An object's temperature cools exponentially after it is removed from a furnace (hot oven).

If its initial temperature is 730°C and it cools at a rate of 2.95% per minute.

We have to determine,

The object's temperature after 18.0 minutes.

According to the question,

The initial temperature is 730°C and it cools at a rate of 2.95% per minute,

The temperature after t minutes is modeled by an exponential function, which has the following format is,

\(T(t) = T(0) . (1-r)^t\)

Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.

Then,

T(0) = 730°c and r = 2.95% = 0.0295

Substitute all the values in the equation,

\(T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\)

Therefore,

The object's temperature after 18.0 minutes is,

\(T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\\\\ T(18) = 730 \times 0.5833\\\\T (18) = 425.83\)

Hence, The required value of the object's temperature after 18.0 minutes is 425.83.

To know more about the Exponential function click the link given below.

https://brainly.com/question/16902197

Answer:

last one

Step-by-step explanation:

Answer:

if c = 6, the d= 8c = 8(6) = 48.

Step-by-step explanation:

Let c = weight of cat.

Let d = weight of dog.

     d = 8c                  (the dog weights 8 times as much as the cat)

d + c = 54                  (together, they weigh 54 pounds)

Substitute  8c  for  d  from the first equation into the second equation:

8c + c = 54

     9c = 54

       c = 6

if c = 6, the d= 8c = 8(6) = 48.

Answer:

16 large loaves of bread

Step-by-step explanation:

Quantity of flour has the baker = 28 pounds.

1 pound of flour = 3 cups

So that,

28 pounds of flour = 3 cups x 28

                                = 84 cups

Since she uses 5 cups of flour to make a large loaf of bread, then;

the number of loaves that can be made = \(\frac{84}{5}\)

                                          = 16.8

Therefore, the baker would be able to make 16 large loaves of bread.

Answer:

Four times the amount of flour for the raisin bread plus 2.5 cups equals 12.5 cups total. The equation is 4x + 2.5 = 12.5. First, I subtract 2.5 from both sides, and then I divide both sides by 4. Each loaf contains 2.5 cups of flour.

Step-by-step explanation:

Answer:Height of the trapezium shaped lid is=6 inches

Answer:

Height of the trapezium shaped lid is=6 inches

Step-by-step explanation:

Area of trapezium=1/2(a+b)h

Here We Have:

Area of Trapezium=36 Square inches

a=5 inches

b=7 inches

height=x

Using trapezium's formula and inserting the values:

36=1/2(5+7)x

36=1/2(12)x

36=1/2*12*x

36=6*x

36/6=x

6=x

Height of the trapezium shaped lid is=6 inches

The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.

Trigonometry would be used to determine the base and the length of the parallelogram.

Base: cos 40 = adjacent /hypotenuse

0,7660 = adjacent / 4

adjacent = 4 x 0.7660 = 3.06 in

Length = area / base

20 / 3.06 = 6.54 in

To learn more about parallelograms, please check: https://brainly.com/question/15259486

Answer:

the first answer is 104 square units

I forgot how to answer the surface area for the second prism sorry.

Step-by-step explanation:

The x-intercepts of the given equation 4x^2-12x+4 is -3/2

What is Quadratic equation ?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where c is a constant.

Given equation ,

y = 4x^2+12x+4

so we have to find the x-intercept , make y = 0

and we have to solve for the given quadratic equation

so,

we get

4x^2+12x+4 = 0

(2x)^2 + 9 + 12x = 0

(2x+3)^2 = 0

x = -3/2

There is double root unique intercept or tangent at  x  = -3/2

Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2

To learn more about Quadratic equation from the given link.

https://brainly.com/question/30098550

#SPJ1

Answer:

Stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).

Step-by-step explanation:

hope this helps!

At x = 0 and x = 7, the function g(x) is undefined.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

Now, We know that;

The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0

Here, The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

So, Function g (x) is not defined when,

x (x - 7) = 0

⇒ x = 0

or, x - 7 = 0

⇒ x = 7

Thus, At x = 0 and x = 7, the function g(x) is undefined.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

1000 pencils = $ 20.

10 pencils = ?

10 * 20 / 1000

200/1000

2/10

1/5

0.5.$

Answer:

$0.20

Step-by-step explanation:

If 1000 pencils cost $20, then we must first find the unit rate.

20/1000 = 0.02, so it costs $0.02 for each pencil. To find out what ten pencils cost, we multlipy 0.02 by 10.

0.02 * 10 = 0.2, or $0.20.

Brainliest, please :)

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

To learn more about Parallel line visit:

https://brainly.com/question/17432060

#SPJ9

a) The distance of the stone above ground level at time t :

d(t)= -4.9t² + 950

b) It takes 13.92 seconds the stone to reach the ground

c)  With 136.42 m/s velocity the stone strikes the ground.

d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground

Here, a  stone is dropped from the upper observation deck of a tower, 950 m above the ground.

(a)  the distance of the stone above ground level at time t would be,

d(t)  = 0.5 (-9.8) t² + v(0) t + d(0)

      = (-4.9)t² + 0t + 950

      = -4.9t² + 950

(b) Now we find the time the stone takes to reach the ground.

i.e., the value of 't' when d = 0

Substituting d(t) = 0 in the above equation.

-4.9t² + 950 = 0

t² = (-950) / (-4.9)

t² = 193.88

t = 13.92 seconds

(c) We need to find the velocity the stone takes to strike the ground

i.e., the velocity when t  = 13.92 seconds

v(t) = v(0) + gt      

v(13.92) = 0 + (9.8)(13.92)

v = 136.42 m/s

(d) here, v(0) = -8 m/s  

Velocity is negative because stone is being thrown downward.

d(t) = 0

(-4.9)t² + v(0) t + d(0) = 0

(-4.9)t² -8t + 950 = 0

Using the quadratic formula we solve above equation for,

t = -14.76, 13.13

We can disregard the negative solution

So, we get t = 13.13 seconds.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

Hello,

answer C

Step-by-step explanation:

\(\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}\)

The joint density of  the proportion of the capacity of the tank that is stocked & sold during the week is 1/8 and 1/2. ( a and b)

Let y1 be the percentage of the tank's capacity that is stocked at the start of the week.

y2, the percentage of the weekly capacity sold

The formula for the joint probability density function of y1,y2 is

f(y1 , y2)=  { 3y^1  ;0≤ y2≤ y1 ≤1

0, elsewhere.          

a)F(1/2,1/3)=P(Y1<=1/2,Y2<=1/3
=∫^1/2 ∫^y1 3y1 d y2 d y1
=∫^1/2 3Y1 ⎥y^2⎥y^1 dy1
=∫ ^1/2 3y1 y1 dy1
=∫ ⎥y^3/3 ⎥^1/2        
=1/8            
               

b)P(Y2<=Y1/2)=P(0<=Y1<=1,0<=Y2<=Y1/2
=∫^1 ∫^y1/2 3y1 dy1 dy2
=∫^1 3y1 ⎥ y2 ⎥ ^y1/2 dy1
=∫^1 3y1 y1/2 dy1
=∫^1 3/2y^2 dy1

=3/2 ⎥ y^3/3⎥ ^1^ 0
=1/2

To learn more about the probability

https://brainly.com/question/30034780

#SPJ4

Answer:

-183

Step-by-step explanation:

= −134+(−35)+(−14)

= -134 +(-49)

= -183

The value of the addition the algebraic addition is -183

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. Finding the sum, or total, of a set of integers is the process of addition in mathematics.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The algebraic expression will be solved as below:-

E = −134+(−35)+(−14)

E = -134 +(-49)

E = -183

Therefore, the value of the addition the algebraic addition is -183

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2