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
goblinko [34]
3 years ago
7

8(5x–3)–11(3x+7)=102

Mathematics
2 answers:
enyata [817]3 years ago
7 0
40x - 24 - 33x - 77 = 102
40x - 33x = 102 + 24 + 77
7x = 203
x = 29
jekas [21]3 years ago
7 0
40x-24-33x-77=102
7x-101=102
7x=203
X=29
Answer x=29
You might be interested in
Please help, the subject is math
Sonja [21]

Answer: D

Step-by-step explanation:

6 0
3 years ago
In 2013, a research company found that smartphone shipments (units sold) were up 32.7% worldwide from 2012, with an expectation
timofeeve [1]

Answer:

We're looking for a,b such that

\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}

Step-by-step explanation:

3 0
3 years ago
William sold half of his comic books and then bought 14 more he now has 24 with how many did he have in the beginning
Lera25 [3.4K]
Let the number of comic books be X
if we add 14 to X = 24
so we will find the value of X to get half initial number of comic books William had.
14+X=24
X=24-14
X=10
so the total innitial number of comic books William had is 10+10=20 books.
3 0
3 years ago
Read 2 more answers
A quadrilateral has vertices at $(0,1)$, $(3,4)$, $(4,3)$ and $(3,0)$. Its perimeter can be expressed in the form $a\sqrt2+b\sqr
seraphim [82]

Answer:

a + b = 12

Step-by-step explanation:

Given

Quadrilateral;

Vertices of (0,1), (3,4) (4,3) and (3,0)

Perimeter = a\sqrt{2} + b\sqrt{10}

Required

a + b

Let the vertices be represented with A,B,C,D such as

A = (0,1); B = (3,4); C = (4,3) and D = (3,0)

To calculate the actual perimeter, we need to first calculate the distance between the points;

Such that:

AB represents distance between point A and B

BC represents distance between point B and C

CD represents distance between point C and D

DA represents distance between point D and A

Calculating AB

Here, we consider A = (0,1); B = (3,4);

Distance is calculated as;

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

(x_1,y_1) = A(0,1)

(x_2,y_2) = B(3,4)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}

AB = \sqrt{( - 3)^2 + (-3)^2}

AB = \sqrt{9+ 9}

AB = \sqrt{18}

AB = \sqrt{9*2}

AB = \sqrt{9}*\sqrt{2}

AB = 3\sqrt{2}

Calculating BC

Here, we consider B = (3,4); C = (4,3)

Here,

(x_1,y_1) = B (3,4)

(x_2,y_2) = C(4,3)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}

BC = \sqrt{(-1)^2 + (1)^2}

BC = \sqrt{1 + 1}

BC = \sqrt{2}

Calculating CD

Here, we consider C = (4,3); D = (3,0)

Here,

(x_1,y_1) = C(4,3)

(x_2,y_2) = D (3,0)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}

CD = \sqrt{(1)^2 + (3)^2}

CD = \sqrt{1 + 9}

CD = \sqrt{10}

Lastly;

Calculating DA

Here, we consider C = (4,3); D = (3,0)

Here,

(x_1,y_1) = D (3,0)

(x_2,y_2) = A (0,1)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}

DA = \sqrt{(3)^2 + (- 1)^2}

DA = \sqrt{9 +  1}

DA = \sqrt{10}

The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral

Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}

Perimeter = 4\sqrt{2} + 2\sqrt{10}

Recall that

Perimeter = a\sqrt{2} + b\sqrt{10}

This implies that

a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}

By comparison

a\sqrt{2} = 4\sqrt{2}

Divide both sides by \sqrt{2}

a = 4

By comparison

b\sqrt{10} = 2\sqrt{10}

Divide both sides by \sqrt{10}

b = 2

Hence,

a + b = 2 + 10

a + b = 12

3 0
2 years ago
Mr.Willy uses the following recipe for crispy treats. She decides to make 1/3 of the recipe,2 cups melted butter,24oz marshmello
____ [38]
(1/3)2= 2/3 cups butter
(1/3)24= 8 oz marshmallows
(1/3)14= 4 2/3 cups rice crispy
4 0
2 years ago
Other questions:
  • Help with 1 and 2 only <br><br> get brainliest if right
    11·1 answer
  • Estimate 23,945 + 46,718 by rounding to the highest place value.
    11·1 answer
  • A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.
    13·1 answer
  • $1,000, 5%, 2 years of simple interest paid to the nearest cent
    5·1 answer
  • How to change a mixed number
    12·1 answer
  • Carlos is 8 years older than his sister Maria. Four years ago Maria was two thirds as old as Carlos. How old are they now
    11·1 answer
  • Which of these questions are equivalent to 1/4
    13·2 answers
  • What the rate and unit rate to 9:2 if you divide 18 and 4 by 2
    13·1 answer
  • Please help me with this as quickly as possible!
    12·1 answer
  • What is the acceleration of a 1,500-kilogram truck with a net force of 7,500 newtons?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!