1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergij07 [2.7K]
3 years ago
8

Solve the equation -20=-4x-6x​

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer: x = 2

Step-by-step explanation:

First you add -4x and -6x to get -10x. Then you will have -20 = -10x. So you divide both sides by -10 to get 2 = x

You might be interested in
How do you get -11.9 from -6.7+(-5.2)<br><br>and explain in words how
ioda

If you just type that exact equation into a calculator it gives you the same answer as well

4 0
3 years ago
Read 2 more answers
Kayla has 1\frac{3}{7} cups of yogurt to make smoothies. Each smoothie uses \frac{1}{4} cup of yogurt. What is the maximum numbe
Fiesta28 [93]

Answer: The maximum number of smoothies is 6 cups

Step-by-step explanation: The quantity of yogurt Kayla has is 1³/₇ cups and she needs to make smoothies that would require, 1/4 cup. The number of smoothies she can make from this available quantity can be mathematically expressed as follows;

Number of smoothies = Total Quantity/Quantity per cup

So if we represent Total quantity (1 ³/₇ cups) by x and the quantity per cup (1/4) by y, then the number of smoothies she can make from her available amount of yogurt can be expressed as follows;

Number of smoothies = x/y

The reason is simple, Kayla can determine how many cups of smoothies she can make provided she knows how much quantity each cup of smoothie would require. That means, if for example she has 10 cups of yogurt and each smoothie requires 5 cups, she simply needs to find out how many 5 cups she can get out of 10 cups, which now translates into 10 divided by 5. Similarly, she has 1 ³/₇ cups of yogurt and to determine how many ¹/₄ cups can come out of this she simply needs to divide the total quantity of yogurt by the amount each cup requires, which bring us back to the equation;

Number of smoothies = x/y

Where x = 1 ³/₇ cups of yogurt and y = ¹/₄ cup of yogurt

Number of smoothies = 1 ³/₇÷ ¹/₄

Number of smoothies = (¹⁰/₇) x (⁴/₁)

Number of smoothies = 40/7

Number of smoothies = 5 ⁵/₇

The maximum number of smoothies Kayla can make is 6 cups, because the result shows 5 cups and a fraction which is greater than half a cup. Therefore the last one that measures 5/7 of a cup shall be the sixth one.

8 0
3 years ago
Find the area of a hexagon, to the nearest tenth, with a side length of 8 and apothem of 6.9.
OverLord2011 [107]

Answer:

6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9

6 0
3 years ago
The market value of Bryan's home is $389,000. The assessed value is $312,000. The annual property tax rate is $18.60 per $1,000
Scilla [17]

Answer:

$5803.20

Step-by-step explanation:

6 0
3 years ago
For x, y ∈ R we write x ∼ y if x − y is an integer. a) Show that ∼ is an equivalence relation on R. b) Show that the set [0, 1)
vodomira [7]

Answer:

A. It is an equivalence relation on R

B. In fact, the set [0,1) is a set of representatives

Step-by-step explanation:

A. The definition of an equivalence relation demands 3 things:

  • The relation being reflexive (∀a∈R, a∼a)
  • The relation being symmetric (∀a,b∈R, a∼b⇒b∼a)
  • The relation being transitive (∀a,b,c∈R, a∼b^b∼c⇒a∼c)

And the relation ∼ fills every condition.

∼ is Reflexive:

Let a ∈ R

it´s known that a-a=0 and because 0 is an integer

a∼a, ∀a ∈ R.

∼ is Reflexive by definition

∼ is Symmetric:

Let a,b ∈ R and suppose a∼b

a∼b ⇒ a-b=k, k ∈ Z

b-a=-k, -k ∈ Z

b∼a, ∀a,b ∈ R

∼ is Symmetric by definition

∼ is Transitive:

Let a,b,c ∈ R and suppose a∼b and b∼c

a-b=k and b-c=l, with k,l ∈ Z

(a-b)+(b-c)=k+l

a-c=k+l with k+l ∈ Z

a∼c, ∀a,b,c ∈ R

∼ is Transitive by definition

We´ve shown that ∼ is an equivalence relation on R.

B. Now we have to show that there´s a bijection from [0,1) to the set of all equivalence classes (C) in the relation ∼.

Let F: [0,1) ⇒ C a function that goes as follows: F(x)=[x] where [x] is the class of x.

Now we have to prove that this function F is injective (∀x,y∈[0,1), F(x)=F(y) ⇒ x=y) and surjective (∀b∈C, Exist x such that F(x)=b):

F is injective:

let x,y ∈ [0,1) and suppose F(x)=F(y)

[x]=[y]

x ∈ [y]

x-y=k, k ∈ Z

x=k+y

because x,y ∈ [0,1), then k must be 0. If it isn´t, then x ∉ [0,1) and then we would have a contradiction

x=y, ∀x,y ∈ [0,1)

F is injective by definition

F is surjective:

Let b ∈ R, let´s find x such as x ∈ [0,1) and F(x)=[b]

Let c=║b║, in other words the whole part of b (c ∈ Z)

Set r as b-c (let r be the decimal part of b)

r=b-c and r ∈ [0,1)

Let´s show that r∼b

r=b-c ⇒ c=b-r and because c ∈ Z

r∼b

[r]=[b]

F(r)=[b]

∼ is surjective

Then F maps [0,1) into C, i.e [0,1) is a set of representatives for the set of the equivalence classes.

4 0
3 years ago
Other questions:
  • Solve the following system.
    7·2 answers
  • Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long
    7·1 answer
  • Lines L and M are parallel. Lines t^1 and t^2 are transversals. What is m&lt;1 if m&lt;4=65*? Justify your answer. (Ps- there is
    6·1 answer
  • Find the midpoint of the segment with the following endpoints.<br> (-1,3) and (-9, -7)
    10·2 answers
  • PLEASE HELP ASAP!!! 75 POINTS AND BRAINLIEST!!!
    6·1 answer
  • To find the product of x4 and 6 do you
    12·1 answer
  • Mae earns a weekly salary of $330 plus a commission of 6.0% on a sales gift shop.How much would she make if she sold $4300 worth
    9·1 answer
  • My stepsister got stuck in the dryer what do I do??
    8·2 answers
  • Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
    7·2 answers
  • Select the correct answer.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!