If k/3 – 9 = 12, what is the value of k?

Answer:

68

Step-by-step explanation:

all the explanation is in the photo

Answer:

-11

Step-by-step explanation:

Answer:

He should make the hypotenuse 5 in

Step-by-step explanation:

the pythagorean heoreom states that a^2+b^2=c^2. c is the hypotenuse. You already have a and b, 3 and 4. Plug it in

3^2+4^2=c^2

9+16=c^2

25=c^2

square root each side to isolate

c=5

Answer:

39%

Step-by-step explanation:

It is given that 35 apartments have balconies in them.

While 55 apartments do not have balconies in them.

Total number of balconies is the sum of the apartments. i.e. 35 + 55

                                                                                             = 90 apartments

Therefore for the survey when an apartment is randomly selected, the percentage of the probability of the apartment to have a balcony can be found out by dividing 35 by 90 and then multiply by 100.

i.e.

[tex]$=\frac{35}{90}$[/tex]

= 0.38888888

Multiplying by 100, we get

= 0.388888 x 100

= 38.8888 %

= 39 %

Answer:

y=4x

Step-by-step explanation:

Answer:

4(6+7)

Explanation:

24+28

(4×6)+(4×7)

4(6+7)

Given:

A person on a moving sidewalk travels 24 feet the in 7 seconds.

The moving side walk has a length of 180 feet.

To find:

Time taken by the person to move from one end to the other.

Solution:

A person on a moving sidewalk travels 24feet the in 7 seconds.

The speed of the person is

[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]

[tex]\text{Speed}=\dfrac{24}{7}[/tex]

[tex]\text{Speed}=\dfrac{24}{7}[/tex]

The moving side walk has a length of 180 feet.

[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

[tex]\text{Time}=\dfrac{180}{\dfrac{24}{7}}[/tex]

[tex]\text{Time}=\dfrac{180}{1}\times \dfrac{7}{24}[/tex]

[tex]\text{Time}=52.5[/tex]

Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.

Answer:

Also BC = 12

B......6......D......6......C

Now, AC = 2.

A can be either left of C or right of C

If A is left of C , AB = 12-2 = 10 (Correct)

If A is right of C AB = 12 +2 = 14 (Incorrect)

So the points placing is as below

B......6......D....4....A..2..C

Length of segment AD = 4

Answer:

y=-5x+0

Step-by-step explanation:

If it passes through the origin that means the Y-Intercept is 0

Answer:

Step-by-step explanation:

In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.

The second number will be: 3 * 2 = 6

In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.

Second number = 5 * 2 = 10

════════ ∘◦❁◦∘ ════════

════════════════════

a = 13

U2 = 6

U3 = -1

U4 = -8

════════════════════

d = ..?

════════════════════

#since it gives a lot of number, i will just pick one of the nth term, ill choose U2

Un = a + (n-1)d

U2 = 13 + (2-1)d

6 = 13 + d

6 - 13 = d

d = -7

════════════════════

• The formula of arithmetic sequence

n = nth term

a = first term

d = common difference

════════════════════

Answer:

Step-by-step explanation:

Example: Solve this triangle

right angled triangle 5 12 c

Start with: a2 + b2 = c2

Put in what we know: 52 + 122 = c2

Calculate squares: 25 + 144 = c2

25+144=169: 169 = c2

Swap sides: c2 = 169

Square root of both sides: c = √169

Calculate: c = 13

Answer:

-16/5

Step-by-step explanation:

Answer:

-16/5

Step-by-step explanation:

-32/10

reduce the fraction with 2

-16/5

All the solutions of the expressions are,

1) 3yi

2) 3c

3) - 10x

4) - 5y

5) - 2a

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

Now, We can solve as;

1) - √- 9y² , if y < 0

⇒ - √ - 9y²

⇒ - √- 1 × 3 × 3 × - y × - y

⇒ 3yi

2) 3√c², if c ≥ 0

⇒ 3 √c²

⇒ 3√c × c

⇒ 3c

3) - 5√4x², if x ≥ 0

⇒ - 5 √4x²

⇒ - 5 √(2x)²

⇒ - 5 × 2x

⇒ - 10x

4) - 5√y², if y > 0

⇒ - 5 √y²

⇒ - 5y

5) 0.5 √16a², if a < 0

⇒ 0.5 √(4a)²

⇒ 0.5 × -4a

⇒ - 2a

Learn more about the mathematical expression visit:

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Answer:

x=144

Step-by-step explanation:

x/12-5=7

x-60=84

x=84+60

x=144

The area of the rectangle is 216 square feet

Let x represents the length and y represents the width.

So, we have:

x = 6y

So, the perimeter is:

P = 2(x + y)

The perimeter is given as:

P = 84

So, we have:

2(x + y) = 84

Divide by 2

x + y = 42

Substitute x = 6y in x + y = 42

6y + y = 42

Evaluate the sum

7y = 42

Divide by 7

y = 6

Substitute y = 6 in x = 6y

x = 6 * 6

x = 36

The area is calculated as:

Area = xy

So, we have:

Area = 36 * 6

Evaluate

Area = 216

Hence, the area of the rectangle is 216 square feet

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Answer:

Step-by-step explanation:

f(2) = 4

Answer:

Shyla will pay about 63 cents to cover the box

Step-by-step explanation:

Length of the box ( l ) = 7 inches

Width of the box (b) = 11 inches

Height of the box (h) = 8 inches

We can solve this equation by following two simple steps.

1. The first step is to find the total surface area of the box. This is the total area that the decorative fabric will be covering.

We can get this by the following formula:

SA=2( length X width) +2( length X height )+2(height X width)

SA = 2( 7 X 11 ) + 2(7 X 8) + 2 (8 X 11 ) = 442 square inches

2. The second step is to divide the total surface area by the price of the fabric per square inch.

This will be 442 square inches divided by 7 cents per square inch  = 63.14 cents

Shyla will pay about 63 cents to cover the box

Answer:

Total number of group formed = 7

Step-by-step explanation:

As given,

1 group has 8 people

Total people = 53

Let

Total number of group made = x

As 1 group = 8 tourist

⇒x group = 8x tourist

As Total tourist = 53

⇒8x = 53

⇒x = [tex]\frac{53}{8}[/tex] = 6.6

This means,

There are 6 full group of 8 people in each group = 48 tourist

and 1 group of 53-48 = 5 people.

So,

Total number of group formed = 7

In the diagram , Δ represent each person.

The figure  is as follows :

Answer:

C

Step-by-step explanation:

It’s convenient that there are only two x values you need to check, -2 and 2. Just insert it to see what y is appropriate.

x = -2: y > 6 + 3 = 9 (and y > -2 + 2 = 0 which is redundant here)

x = 2: y > 2 + 2 = 4 (and y > -6 + 3 = -3 which is redundant here)

So, neither B nor D is in the solution set with 5 < 9 and -5 < 9.

A isn’t in the solution set either with -5 < 4.

C is in the solution set with 5 > 4.

Answer:

c

Step-by-step explanation:

Answer:

(4, -2)

Step-by-step explanation:

Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;

6 units to the rights is towards the positive x axis

7 units down is towards the negative y axis

R' = (-2+6, 5-7)

R' = (4, -2)

Hence the coordinate point of R' on the plane is (4, -2)

Answer:

X = 2, 4, 6, 7, 9

Y = 29, 33, 37, 39, 43

Step-by-step explanation:

Given a best fit line of :

y = 2x + 25

Take points X as :

X = 2, 4, 6, 7, 9

X = 2

y = 2(2) + 25 = 4 + 25 = 29

X = 4

y = 2(4) + 25 = 8 + 25 = 33

X = 6

y = 2(6) + 25 = 12 + 25 = 37

X = 7

y = 2(7) + 25 = 14 + 25 = 39

X = 9

y = 2(9) + 25 = 18 + 25 = 43

Answer:

D

Step-by-step explanation:

The basic equation to solve this would be D = RT, which is

D is Distance

R is Rate (speed)

T is time

To find total distance D, we can find individual distances for two legs of the whole.

First Leg:

R = 8

T = a

D = 8a

a) find area

a = l • w

a = 17.8 • 10.6

a = 188.68 m²

//

b) find the area of the vegetable garden and then multiply by the cost

a = l • w

a = 49 • 15.2

a = 744.8 m²

total cost = 744.8 • 91

total cost = 67776.8

//

c) find perimeter

p = 2(l) + 2(w)

p = 2(18.7) + 2(12.6)

p = 62.6 m

//

d) find area then divide by 1.25

a = l • w

a = 20 • 15.7

a = 314 m²

314/1.25 = 251.2

251.2 banana trees

//

Just double check to make sure my calculations are correct.

Answer:

25% off

Step-by-step explanation:

First, find 90/120, which is 0.75. Now, since the phone is not 75% off, you just find 100-75, which gives you 25%.