In one day, a store sold 4/5 as many DVDs as Blu-ray discs. The total number of DVDs and Blu-ray discs sold that day was 522 How many DVDs were sold?

Answer:

48 degrees

Step-by-step explanation:

the angle measure doesn't scale of shrink with the dilation of circles. the angle only just extends.

Answer:

y=60 degrees ; x=120 degrees.

Step-by-step explanation:

All triangles' angles must add up to 180 degrees. An equilateral triangle has 3 equal sides and degrees. If it gives the angle of one all the other angles are the same. For x you see the parallel line below it with the line to the left going through with the same angle as the one below. The angles are the same and if it is labeled in one then it is the same in the other.

Answer:

Step-by-step explanation:

16 + 12 + 5 + 3 = 36

16 prefer email, 36 total students surveyed

16:36 / 4 = 4:9

4 out of 9 students prefer email

4:9 x 680 = 302.222

302 students can be expected to prefer email.

Answer: 46.5 by 19.5

Step-by-step explanation:

P=perimeter of panel. L=length. W=width

L=3W-12

P=2L+2W

132=2(3W-12)+2W

132=6W-24+2W

132=6W+2W-24

132=8W-24

156=8W

W=19.5

P=2L+2W

132=2L+2(19.5)

132=2L+39

2L=93

L=46.5

46.5 by 19.5

Answer: Directix= -1

Focus (11, 2)

Step-by-step explanation:

The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

( 2x + 6 ) 3 = 3x + 6

6x + 18 = 3x + 6

3x = - 12

x = - 4

The total cost of the mortgage based on Susan's predictions is D.  $528,310.80.

A mortgage payment is a reduction of the mortgage loan through periodic payments.

The total cost of a mortgage is the periodic mortgage payment multiplied by the number of payments.

The total mortgage cost can be determined using an online finance calculator as follows:

Home Price = $200,000

Down Payment = 0%

Loan Term = 30 years or 360 months (30 years x 12)

Interest Rate = 8%

Monthly Pay:   $1,467.53

Total of 360 Mortgage Payments = $528,310.80 ($1,467.53 x 360)

Total Interest $328,310.49

Thus, the total cost of the mortgage based on Susan's predictions is D.  $528,310.80.

Learn more about determining monthly mortgage payments at https://brainly.com/question/22846480

#SPJ1

Answer:

1) obtuse triangle

2) equilateral triangle

3) isosceles triangle

4) equilateral triangle

5) scalene triangle

6) acute triangle

7) right triangle

8) obtuse triangle

9) acute triangle

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

To solve more questions on expressing evaluation, visit the link below -

brainly.com/question/1041084

#SPJ1

The equivalent ratios are 6:3, 24:12 and 18:9.

According to the question,

We have the following information:

We have a table where number of people and  benches are given.

(Note that equivalent ratios mean that when we simplify it then the ratio should be equal to the original ratio.)

Now, we will find the equivalent ratios column-wise:

In first column, we have 6 and 3.

6:3

Now, in second column, we have:

_:12

Now, dividing 12 by 3, we have 4.

Multiplying 4 into 6:

24:12

Now, in third column, we have:

18:_

Dividing 18 by 6:

18/6 = 3

Multiplying 3 by 3:

18:9

Hence, the equivalent ratios are 6:3, 24:12 and 18:9.

To know more about equivalent ratios here

https://brainly.com/question/13513438

#SPJ1

Answer:

The solution is (3,2).

Step-by-step explanation:

When you are solving simultaneous equation using graphs, you have to look at their intersection point.

In this graph, both equations intersect at (3,2) so the solution will be (3,2).

Test,

x + y = 5

3 + 2 = 5

y - 2x = -4

2 - 2(3) = 4

2 - 6 = 4

The flat fee that the store charges is $14 and the cost for 7 hours is $56

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

let f for the total rental cost of a vacuum cleaner for x hours

Using the points (1, 20) and (3, 32) from the table:

\(f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14\)

The flat fee that the store charges is $14

The reasonable domain is 1 ≤ x ≤ 12

The cost for 7 hours is:

f(7) = 6(7) + 14 = 46

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

0

Step-by-step explanation:

just plug it into a calculator

Answer:

Step-by-step explanation:

Looking for P(B|A)

conditional probability formula: A|B= (A∩B)/B

so B|A= (B∩A)/A

B∩A= 19+27= 46

A= 50+19+27+45= 141

46/141= .3262

Step-by-step explanation:

NO. OF STUDENTS THAT HAVE COMPLETED BOTH SMOOTH&RYTHM=19+27=46

TOTAL NO. OF STUDENTS IN SMOOTH AND RYTHM =141

Therefore,

Probability=46/141

=0.326

Answer:

49ft²

Step-by-step explanation:

A=bh

A=bh=9.8·5=49

By applying the congruent triangles concept, it can be concluded ΔGHI is congruent to ΔJKL.

Congruent triangles are two or more triangles that are exactly the same shape and size as one another. So, the triangles will remain exactly the same when rotated, reversed, or even folded.

The properties of congruent triangles:

if ΔABC ≅ ΔEFG then:

AB = EF

BC = FG

∠A = ∠E

∠B = ∠F

Now we look at the attached image:

Because GH ≠ MN, we don't need to check the other properties to conclude that ΔGHI and ΔMNP are not congruent.

Because GH = JK, HI = KL, ∠G = ∠J, and ∠H = ∠K, then we can conclude that ΔGHI ≅ ΔJKL

To learn more about congruent triangles, click here: https://brainly.com/question/559612

#SPJ1

The histogram is skewed to the left, the mean is less than the median.

Answer:

-1.9393939

Step-by-step explanation:

https://www.hackmath.net/en/calculator/fraction

Therefore, the probability of spinning a 2 or 3 on the spinner and drawing a blue tile is 1/6.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur. Probability theory is an important branch of mathematics used in many fields, including statistics, economics, engineering, and science, to help make predictions and informed decisions based on data and uncertain events.

Here,

Based on the given tree diagram, the probability of spinning a 2 or 3 on the spinner is 1/2 since there are two possible outcomes (2 or 3) out of four equally likely outcomes (1, 2, 3, or 4).

The probability of drawing a blue tile after spinning a 2 or 3 is 1/3 since there is only one blue tile out of three possible outcomes (blue, green, or red) for each spin result of 2 or 3.

To calculate the probability of both events happening together (spinning a 2 or 3 and drawing a blue tile), we need to multiply the two probabilities:

P(2 or 3 and blue) = P(2 or 3) x P(blue | 2 or 3)

= (1/2) x (1/3)

= 1/6

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

35 = 7x

Divide both sides by 7

35/7 = x

x = 5

Answer:

5 units

Step-by-step explanation:

Both of you are correct because using either way can solve the equation for the value of x.

In the case of solving for x in  2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.

Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :

Multiplying :

2/5 x = 14

5 / 2 x 2 / 5 x = 14 x 5 / 2

x = 35

Dividing :

2/5 x = 14

2 / 5 x / 2 / 5 = 14 / 2 / 5

x = 35

Find out more on solving for x at https://brainly.com/question/2763008

#SPJ1

Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.

The three typical measures of center are the mean, the median, and the mode.

The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.

The median is the middle value of the data set arranged in descending or ascending order.

The mode refers to the value that occurs most in the data set.

66 66 66 = 198

63 63 63 = 189

65 65 65 = 195

64 64 64 = 192

58 58 58 = 174

Total =      948

Mean = 63.2 (948 ÷ 15)

Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)

62 69 65 = 196

68 60 70 = 198

70 58 67 = 195

66 75 70 = 211

69 67 60 = 196

Total = 996

Mean = 66.4 (996 ÷ 15)

Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)

Learn more about the measures of center at https://brainly.com/question/15214370.

#SPJ1

Answer:

Number of hours worked overtime = 5.5 hours

overtime rate = $17.925 per hour

overtime pay = $98.59

Step-by-step explanation:

a. Her overtime hours are the number of hours worked over 40 hours, and we are told that she worked 45 1/2 hours last week.

Therefore, her overtime hours = 45.5 - 40 = 5.5 hours

b. overtime rate:

for her overtime rate, we are given that she has a time-and-a-half pay for her overtime hours. This means that she is paid 1.5 times the normal rate for working overtime.

∴ overtime rate = 1.5 × normal rate

overtime rate = 1.5 × 11.95/hour

overtime rate = $17.925/hour

c. overtime pay:

overtime pay = overtime rate × overtime hours worked

overtime pay = 17.925 × 5.5

overtime pay = $98.59

Answer:

a+b-c

4+1-5

5-5=0

THE ANSWER IS 0

We can say that after answering the offered question For instance, if equation fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

{(1, 75), (2, 125), (3, 175), (4, 225), (5, 275)}

The cost to repair a plumbing issue based on the number of hours is represented by these sets of ordered pairs. For instance, if fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

2046

Step-by-step explanation:

The sum of 2^0 to 2^x added is equal to 2^(x+1)-1 but because 2^0 isnt included its 2^11-2 or 2048-2