Sam bought a Blu-ray disc that normally costs $20. The store was running a sale that was a 15% discount for the
disc. What was the amount of discount Sam got on his disc?

9514 1404 393

Answer:

  KL ≈ 5.3

Step-by-step explanation:

JL/JM = tan(51°)   ⇒   JL = JM×tan(51°)

KL/JL = cos(72°)   ⇒   KL = JL×cos(72°) = JM×tan(51°)×cos(72°)

KL = 14·tan(51°)·cos(72°) ≈ 5.3

Answer:

Solution:-

Frequency Distribution     Frequency     Mid values     F*M

0 - 10                                    8                     5                40

10 - 20                                  x                    15               15x

20 - 30                                 10                   25               250

30 - 40                                 11                   35               385

40 - 50                                  9                    45               405

_____________________________________________________

                                         Σf = 38+x                      Σfm = 1080+15x

______________________________________________________

Given Mean = 25.2

Mean = Σfm/Σf

25.2 = 1080+15x/38+x

25.2 × (38+x) = 1080+15x

957.6+25.2x = 1080+15x

25.2x - 15x = 1080 - 957.6

10.2x = 122.4

x = 122.4/10.2

x = 12

Missing frequency = 12  Answer

Hope it helps.

If you have any query, feel free to ask.

Answer:

The first one is y = 8 and the second one is y = 4.

Step-by-step explanation:

You plug the numbers in for x and then solve the equations.

The answer is 2(x+3)

hope it helps!

Answer:

2x + 6

Step-by-step explanation:

2(x +3)

2x +6

multiply x by 2=2x

multiply 3×2=6

2x +6

Step-by-step explanation:

x/(x + 2) + 1/x = 1

x² + (x + 2) = x(x + 2)

x² + x + 2 = x² + 2x

x = 2.

Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.

The answer is "The equation has 1 valid solution and no extraneous solutions." (C)

The true statement is (c) the equation has one valid solution and no extraneous solutions

The equation is given as:

[tex]\frac{x}{x + 2} + \frac 1x = 1[/tex]

Take LCM

[tex]\frac{x^2 + x + 2}{x(x + 2)} = 1[/tex]

Expand the numerator

[tex]\frac{x^2 + x + 2}{x^2 + 2x} = 1[/tex]

Cross multiply

[tex]x^2 + x + 2 = x^2 + 2x[/tex]

Subtract x^2 from both sides

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

Collect like terms

[tex]2x -x = 2[/tex]

[tex]x = 2[/tex]

Hence, the equation has one valid solution and no extraneous solutions

Read more about solutions of equations at:

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Answer:yes it is right

Step-by-step explanation that’s right

Answer: pretty sure

Step-by-step explanation:

Please give me a brainliest even if im wrong im strugling please

Answer:

In order to graph y=%284%2F5%29%2Ax-7 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=0

y=%284%2F5%29%2A%280%29-7

y=0%2F5-7 Multiply

y=-35%2F5 Add

y=-7 Reduce

So here's one point (0,-7)

Now lets find another point

Plug in x=5

y=%284%2F5%29%2A%285%29-7

y=20%2F5-7 Multiply

y=-15%2F5 Add

y=-3 Reduce

So here's another point (5,-3). Add this to our graph

Now draw a line through these points

So this is the graph of y=%284%2F5%29%2Ax-7 through the points (0,-7) and (5,-3)

So from the graph we can see that the slope is 4%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 5 units to get to the next point) the y-intercept is (0,-7)and the x-intercept is (8.75,0) ,or (35%2F4,0)

We could graph this equation another way. Since b=-7 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-7).

So we have one point (0,-7)

Step-by-step explanation:

Answer:

Triangles ABD and CBD are congruent by the SSS Congruence Postulate

Step-by-step explanation:

AB = CB

AD = CD

and BD is the common side.

The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."

"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."

"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."

"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."

"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."

"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."

For given question,

We have been given triangles ABD and CBD.

B is the midpoint of line AC

⇒ AB = BC

For triangles ABD and CBD,

side AB = side CB                   ............(since, B is the midpoint of line AC)

side BD = side BD                   .............(common side)

side AD = side CD                  ............(measures 15 units each)

So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.

Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

The correct answer is option (a)

Learn more about SSS postulate of triangle congruence here:

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Answer:

A, C, E

Step-by-step explanation:

0.6 + 15b + 4 = 25.6

Let's solve the original equation for b.

15b + 4.6 = 25.6

15b = 21

b = 21/15 = 7/5

A.

15b + 4 = 25

15b = 21

b = 21/15 = 7/5

Equivalent

B.

15b + 4 = 25.6

0.6 was subtracted from the left side but not from the right side of the original equation.

Not equivalent

C.

3(0.6 + 15b + 4) = 76.8

Since 76.8 = 3 * 25.6, this equation was obtained by multiplying both sides of the original equation by 3.

Equivalent

D.

15b = 25.6

4.6 was subtracted from the left side of the original equation, but not from the right side.

Not equivalent

E.

15b = 21

b = 21/15 = 7/5

Equivalent

Answer: A, C, E

Answer:

5.5 min

Step-by-step explanation:

At time t=0 you have 72 grams

at time t = 22 min you have 4.5 grams.

Now

4.5/72 = (1/2)^(t/half-life)

and t=22, so

4.5/72 = (1/2)^(22/half-life)

taking log of both sides:

log(4.5/72)=(22/half-life)log(1/2)

solving for half-life gives half-life = 11/2 = 5.5min

Answer:

$2,000

Step-by-step explanation:

Let the amount of money they want to raise be $20,000.

We are going to look for 10% of $20000 as shown:

10% of 20,000 = 10/100 * 20,000

= 0.1 * 20,000

= 2,000

Hence the 10% of the money they want to raise is $2,000

Note the the money the amount of money they want to raise was assumed.

1.a-6=13

a-6+6=13+6

a=19

2. x+4=-14

x+4-4=-14-4

x= –18

3.-10.1=w+5.3

-10.1-5.3=w+5.5-5.3

w= -15.4

4.-9.3=d- 3.4

-9.3+3.4=d -3.4 +3.4

d=-9.3+3.4

d= -5.9

5.q+5/9=5/6

q+5/9-5/9=5/6-5/9

q=5/18

Answer:

A

Step-by-step explanation:

both equation is y so

2x - 5 = x² - 5

2x = x²

0 = x² - 2x

0 = x(x-2)

x = 0

x = 2

for x = 0

y = 2x - 5

y = 0 - 5

y = -5

(0,-5)

for x = 2

y = 2x - 5

y = 2(2) - 5

y = -1

(2,-1)

Answer:

x = 5

Step-by-step explanation:

This is a simple algebra equation, you can rewrite this equation to look like this x - 6 = -1.  Add 6 on both sides to get your x-value which is 5.

Answer:

answer 4 is right, x = 5

Step-by-step explanation:

-6 + x = -1

i) move constants to the right-hand side and change its sign

x = -1 + 6

ii) calculate the sum

x = 5

Answer:

4/15 gallons of juice

Step-by-step explanation:

Total gallon you have = 3/5gallons

Amount consumed = 1/3 gallons

Amount left = Total gallons + Amount consumed

Amount left = 3/5-1/3

Find the LCM

amount left = (3)(3)-5(1)/15

Amount left = (9-5)/15

Amount left = 4/15

Hence 4/15 gallons of juice is left

Answer:

5=2x-6.5 +6.5

11.5=2x ÷2

5.75=x

Step-by-step explanation:

prove me wrong

Answer:

x = 3.5

Step-by-step explanation:

step 1:  add 6.5 to each side;  7 = 2x

step 2: divide each side by 2

x = 7/2 or 3.5

Answer:

400

Step-by-step explanation:

8 x 50 = 400

Answer:

400 files

Step-by-step explanation:

If each folder has 50 files, you would multiply the number of folders by the number of files. So it would be 50 x 8 which equals 400 files.

Answer:

A True

Step-by-step explanation:

tell me if I'm worng

True, The ratios of all three pairs of corresponding sides are equal.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are Similar.

Now, By definition of similarity of the triangle, we get;

The ratios of all three pairs of corresponding sides are equal.

Thus, The given statement is true.

Learn more about the triangle visit;

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Answer:

Step-by-step explanation:

in a right triangle a^2+b^2=c^2,

where a and b are the legs

where c is the hypothenuse

9^2= b^2+3^2

81-9=b^2

b^2=72

b=8.48

Answer:

Step-by-step explanation:

Givens

a = ?

b = 3

c = 9

Formula

a^2 + b^2 = c^2

Solution

a^2 + 3^2 = 9^2

a^2 + 9 = 81

a^2 = 81 - 9

a^2 = 72

Now the tricky part. Are you required to give the exact answer which is

a = √72 = 6√2

or should you give

a = √72 = 8.49

I ran out of time and it erased my work. Sorry.

Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

  ∠MNR ≅ ∠PNR

  m∠MNR + m∠PNR = 180°

  2(m∠MNR) = 180°

  m∠MNR = 90°

  Therefore, ∠MNR and ∠PNR are the right angles.

  Since, QN divides ∠MNR in two parts,

  Therefore, ∠QNR will be an acute angle (less than 90°).

  ∠MNR + ∠SNR = ∠MNS

  90° + ∠SNR = ∠MNS

  Therefore, m∠MNS will be more than 90°.

    ∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

    ∠MNR ≅ ∠PNR

     ∠QNR ≅ ∠SNR

     ∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

     Since, NR bisects ∠QNS,

     ∠QNR ≅ ∠RNS

     m∠QNR = m∠RNS = 30°

     m∠QNR + m∠RNS = 30° + 30°

     m∠QNR + m∠RNS = 60°

     m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

     m∠QNP = m∠QNS + m∠SNP

     m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

     m∠QNP = 60° + (90° - 30°) = 120°        

Answer:

33/10 × 4/11=6/5

3.3 ×0.3636363636=1.2

Answer:

Answer is 1.2

Step-by-step explanation:

33/10 x 4/11=  6/5

6/5 simplified is 1.2

Answer:

A=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

36/4=9

9*9=81

Answer:

0.2

Step-by-step explanation:

Answer:

width = 2x + 1

Step-by-step explanation:

A = lw

A = 10x² + 5x = 5x(2x + 1) = lw ⇒ w = 2x + 1

Answer:

29/14

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation: