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Naddik [55]
2 years ago
15

- Simplify: 2(4x + 5y)

Mathematics
1 answer:
Sonja [21]2 years ago
6 0

Answer:

8x + 10y

Step-by-step explanation:

2(4x+5y)

=> 2(4x) + 2(5y)

=> 8x + 10y

You might be interested in
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
Read 2 more answers
There are 34 dogwood trees and 39 maple trees currently in the park. Park workers will plant more dogwood trees today. When the
levacccp [35]

Answer:

33

Step-by-step explanation:

take the total and then subtract by 34 to get 33

8 0
3 years ago
2÷2563783939282727262626266262534434262788900
liraira [26]

Answer:

128189196964136363133131267217131394450

Step-by-step explanation:

hope this is helpful

3 0
2 years ago
An airline knows that on average about 5 percent of the people who make reservations on a certain flight will not show up. Conse
kolbaska11 [484]

Answer:

Probability that there will be a seat available for every passenger who shows up is 50/50 or 49/50

Step-by-step explanation:

Since it is known that 5percent of people who make reservations would not show up.

Therefore 5% of 52 sold ticket is

5/100 x 52 = 2.6

That is 2 or 3 people who make reservations would not show up.

Which means 52 - 2 or 52 - 3 people would show up

50 or 49 people would show up

Since the flight can hold just 50 people

The probability that everyone that shows up would have a seat is therefore =

50/ 50 or 49/50

8 0
3 years ago
For this question please tell me if I'm right or wrong. If I'm wrong please correct me.
kotykmax [81]

Answer:

PK represents a radius. Radius only goes half way of the circle.

5 0
3 years ago
Read 2 more answers
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