Look at the box plot. What is the median? *

5

15

25

35

Answer:

Let his net salary = x.

He spent 1/4th of x on School fees

Remainder = 1-1/4 = 3x/4

He spent 1/4th THE REMAINDER on Electricity and Water Bils

1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16

He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand

New Remainder = 3x/4 - 3x/16

= 9x/16.

He spent 1/9th OF WHAT REMAINED ON TRANSPORT.

1/9 x 9x/16

=x/16

New Remainder

= 9x/16 - x/16

=x/2.

If he finally had 8,400

Then

x/2=8,400

x=2x8,400

x= 16,800.

This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!

Answer:

75%

Step-by-step explanation:

Mallards = 3/4 of the ducks in the pond

What percentage of the ducks are mallards?

percentage of the ducks that are mallards = 3/4 × 100

= (3 * 100) / 4

= 300/4

= 75%

percentage of the ducks that are mallards = 75%

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

Answer: 10/25 is the probability of choosing a blue marble.

Step-by-step explanation:

First, find out how many marbles there are in total. 3 + 10 + 8 + 4 = 25

Then, each number of marbles is how many out of 25. So, for example, red would be 3/25. Blue - 10/25. Green - 8/25. Yellow - 4/25

It asks you what the probability is, so, find the blue fraction that is out of 25, and thats the probability.

Answer:

c

Step-by-step explanation:

Answer:

I cant see the different side measurements

Answer:

Let's walk through the steps together!

Step-by-step explanation:

1

a) we know that the Pythagorean theorem is a^2+b^2=c^2

a^2+b^2=c^2 means that if we add the squared values for each of the two sides of the triangle (these sides need to have an angle of 90 degrees together. Basically they are the ones that aren't the hypotenuse) we get the value of the hypotenuse (the longest side that doesn't help to make the right angle).

We see that we have the values of a and b in this formula (these sides need to have an angle of 90 degrees together.) Plugging the values in problem 1a into this formula, we see that 16^2+12^2=x^2 (x is the value we need to find)

16^2=236

12^2=144

so the formula now says that 236+144=x^2

236+144=400, so x= [tex]\sqrt{400}[/tex] , which is 20.

so x=20

b) we can use the same knowledge we used in the first problem in this problem as well. In this problem, we are given the values of c (the hypotenuse) and one of the sides (which for our purposes can be a).

a^2+b^2=c^2     ->      100+b^2=289

This means that b=[tex]\sqrt{289-100}[/tex]

so b=[tex]\sqrt{189}[/tex]

so b=[tex]3\sqrt{21}[/tex]

2

These ones are pretty basic, having any common knowledge of ratios should lead you right to the answer. I will help you with a and d

a) we are given the values 6 and 9 as a ratio, which is the same as a 2:3 ratio. 12 corresponds to 6, so 12 would be the 2 in 2:3, meaning the answer (for the value of x) is 18

d) we are given the values 6 and 8, and the corresponding value to 8 is 12. 6 and 8 make a ratio of 3:4, and if we plug 12 in as the 3, the 4->4*4=16

3

I can't see the full problem so unfortunately, I cannot help you

I hope this helped in your understanding!

-Suvi

Answer:

surface area of the cuboid

(2×2×5)+(2×12×5)+(2×12×2)

20+120+48

188 cm²

Answer:

Step-by-step explanation:

1.25 yd x 2 yd x 1.5 yd

= 2.5 yd^2 x 1.5 yd

= 3 3/4 yd^3

answer is D

Answer:

169×5=845

Step-by-step explanation:

ok now mark me brainlist

Answer:

11 hours

Step-by-step explanation:

Using an inequality, find how many additional hours must she work in order to reach this goal?

From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤

Hence,

Let the number of additional hours = h

Last summer Myrtle, worked 45 hours and earned $443.70.

The amount she earned per hour = $443.70/45

= $9.86

Our inequality equation is written as;

She wanted to make at least $550 this summer.

$9.86 × h ≤ $550

= 9.86h ≤ 550

h = 550/9.86

h = 55.780933063 hours

Approximately the additional hours she has to work =

55.780933063 - 45 hours

= 10 .780933063 hours

Approximately = 11 hours

Answer: 4/5

Step-by-step explanation:

Answer:

120 Books

Step-by-step explanation:

60% of 120 is 72

Answer:

The correct answer is - 3 hours.

Step-by-step explanation:

Given:

Price of parts: $200

Price of labor: $75/hour

Total cost: $425

Solution:

Let x = x of hours work done on the car

The inequality can be represented as:

425 = 75x + 200

Solving this inequality, we find that

225 =75x

or

x = 3

Thus, It means that the mechanic will take at least 3 hrs to work on his car.

Answer:

t = (t₁ · vr)/ (vj - vr) = 45 seconds

Step-by-step explanation:

Given:

Initial time from Ricardo  t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,

John's velocity (speed) vj = 4 ft/s

Requested time when John catch Ricardo t = ?

During 15 seconds, Ricardo moved away

S = vr · t₁ = 3 ft/s · 15 s = 45 feet.

From that moment, the same time runs for both of them

Ricardo's path is S₁ = vr · t  and John's path is S₂ = vj · t

S + S₁ = S₂ =>  S = S₂ - S₁  => 45 = vj · t - vr · t  

When we draw t we get:

t ( vj - vr) = 45   t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds

t = 45 seconds

S₁ = vr · t = 3 · 45 = 135 ft

S₂ = vj · t = 4 · 45 = 180 ft

Answer:

5x² + 9x + 1

Step-by-step explanation:

Given:

A = 3x² + 5x - 6

B = 2x² + 4x + 7

A + B:

3x² + 5x - 6 + 2x² + 4x + 7

(3x² + 2x²) + (5x + 4x) - 6 + 7

5x² + 9x + 1

Answer:

D

Step-by-step explanation:

there are 9 digits.

and round it off to the nearest hundred million which is 3.

There are 8 digits before the 3... so 10 gets to the power of 8.___ 10⁸

3,0×10⁸ m.s^-1

Answer:BC=68

DE=36

CE=34

Step-by-step explanation:

Since  D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]m=\boxed{\frac{2}{5}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

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Answer:

C

Step-by-step explanation:

Trust me bro.

Answer:

22 square units

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 11

h = 4

Work:

A = 0.5bh

A = 0.5(11)(4)

A = 5.5(4)

A = 22

Answer:

Consistent

Step-by-step explanation:

It was a solution.

Answer:

288 pages

Step-by-step explanation:

Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)

[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]

Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)

[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]

Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)

[tex]100\\\\2.88 \times 100\\\\= 288[/tex]

Therefore, the book is 288 pages long.

Answer:

Se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.

Step-by-step explanation:

La utilidad por cada escritorio se obtiene al sustraer los costes fijos y variables del precio, es decir:

[tex]u = S/ \,125 -S/\,4,75 - S/\,75[/tex]

[tex]u = S/\,45.25[/tex]

El número de escritorios a vender para obtener [tex]S/\,25000[/tex] se calcula mediante la siguiente regla de tres simple:

[tex]x = \frac{S/\,25000}{S/\,45,25} \times 1\,esc[/tex]

[tex]x = 552.486[/tex]

Puesto que la cantidad a vender es una variable entera, se debe redondear al entero más cercano. En consecuencia, se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.

Answer:

x=13 y=10 z=3 d) 260

Step-by-step explanation:

vertex angles are congruent so you can set them equal to each other and solve

and then a straight like adds up to 180 so 180-(7(x-3)+5y)= your missing angle and then that angles is congruent to its opposite so 2(5z+15)=60

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The length of the string = 39 m

The kite is level with the top of a building that is 24 meters high.

We need to find the angle of elevation of the kite.

A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]

So, the angle of elevation of the kite is 37.97°. The correct option is (b).