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1 year ago

Use the distributive property to solve the equation 4x/5-x=x/10-9/2

Mathematics

1 answer:

Oksana_A [137]1 year ago

4 0

Answer:

$\Huge\boxed {x = 15}$

Step-by-step explanation:

⟾Collect like terms

8x - 10x = x - 45

⟾Move the variable to the left

- 2x = x - 45

⟾Collect like terms again

- 2x - x = - 45

⟾Divide both sides by -3

- 3x = - 45

⟾ x = 45 ÷ 3

x = 15.

Hope it's helps you

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Suppose that 5 out of 13 people are to be chosen to go on a mission trip. In how many ways can these 5 be chosen if the order in

algol [13]

5 People can be chosen in 1287 ways if the order in which they are chosen is not important.

Step-by-step explanation:

Given:

Total number of students= 13

Number of Students to be selected= 5

To Find :

The number of ways in which the 5 people can be selected=?

Solution:

Let us use the permutation and combination to solve this problem

$nCr=\frac{(n)!}{(n-r)!(r)!}$

So here , n =13 and r=5 ,

So after putting the value of n and r , the equation will be

$13C_5=\frac{(13)!}{(13-5)!(5)!}$

$13C_5=\frac{(13 \times12 \times11 \times10 \times9 \times8\times7 \times6 \times5 \times4 \times3 \times2 \times1)}{(8 \times7 \times6 \times5 \times4 \times3 \times2 \times1)(5 \times4 \times3 \times2 \times1)}$

$13C_5=\frac{(13 \times12 \times11 \times10 \times9 )}{((5 \times4 \times3 \times2 \times1)}$

$13C_5=\frac{154440}{120}$

$13C_5= 1287$

8 0

2 years ago

Towns p,q and s are shown Q is 35km due east of P Snis 15km due west of p r is 15km due south of p work out the bearing of r fro

AnnyKZ [126]

Answer:

Step-by-step explanation:

Check attachment for diagram

From the diagram, we can apply Pythagoras theorem to right angle triangle RPS

Then,

Tan θ = opposite / adjacent

Tan θ = 15 / 15

Tan θ = 1

θ = arcTan(1)

θ = 45°

The angle is between the east and south

Then, the bearing of 45°S of east.

The direction is also β

Where

β + θ = 360°

β + 45 = 360°

β = 360 - 45

β = 315°

6 0

1 year ago

Select the sequence of transformations that will carry rectangle A onto rectangle A'. A) reflect over y-axis, rotate 90° clockwi

Darina [25.2K]

Answer:

Any of the 4 sequences gives another rectangle

Explanation:

Any rotation or traslation you make over a rectangle wont change the fact that you have still a rectangle.

The same will happen if you make a reflection of any on the axis. Therefore any of the 4 sequences given will give you a rectangle.

6 0

2 years ago

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Dr. Goodrich wanted to demonstrate that his tires were better than those of his competitor, Dr. Goodyear. From car registration

dem82 [27]

Answer:

Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving

Step-by-step explanation:

Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.

Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear

Dependent Variable is the 'Tire tread wear '.
Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc

Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.

In this case : Individuals driving the vehicles could be a confounding variable. A particular person could wear out tire more than another person.

6 0

1 year ago

Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account

makkiz [27]

Answer:

im guessing 3 because it makes the most sense to me

hope it helped

Step-by-step explanation:

7 0

2 years ago

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