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
Dennis_Churaev [7]
3 years ago
8

0.4x - 0.1y = 2 0.2x + 0.5y = 1 Solve the system

Mathematics
2 answers:
Fed [463]3 years ago
5 0
Cancelling equ
Step 1
Make y same by multiplying 2 with ( 0.4x - 0.1y = 2 )

New equ is 2x - 0.5y =10

Step 2 cancelling y ( why? :- they are both same number and opposite sign and the main rules to cancel)

And ur left with
2x = 10 -> equ 1
0.2x = 1 -> equ 2

Step 3 Subtract equ 2 with equ 1
(0.2x - 2x = 1.8x)
(10 - 1 = 9 )

Ur left with this
1.8x = 9

Step 4 solve
x = 9/1.8
x = 5

Step 4 substitute x in the equ that was given to u from the start
Make y subject And solve

Y=0
svlad2 [7]3 years ago
4 0
Explanation:
The starting system is:
{
0.4
x
−
0.1
y
=
2
0.2
x
+
0.5
y
=
1

If we multiply the second equation by
−
2
the coefficients of
x
will be opposite numbers:
{
0.4
x
−
0.1
y
=
2
−
0.4
x
−
y
=
−
2

Now we can add both sides of the equations to get an euation of 1 variable:
−
1.1
y
=
0

y
=
0

Now we have to substitute the calculated value of
y
to calculate
x
:
0.4
x
=
2

x
=
2
0.4
=
20
4
=
5

Answer:
The solution of this systemm is:
{
x= 5
Y=0

I hope that helps let me know if you have questions.
You might be interested in
PLEASE PLEASE HELP ME I DONT UNDERSTAND THIS SUBJECT PLESASE!!!!!!!!!!!!!!
lana [24]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
3/4(8x-4)=7x+2, I need to find out the answer
laiz [17]

Answer: x = -5

Step-by-step explanation:

First convert 3/4 to decimal= 0.75

0.75 (8x - 4) = 7x + 2

6x - 3 = 7x + 2

Transpose 7x from right hand side to the left hand side

6x - 7x = 2 + 3

-x = 5

x = -5

I hope this helps.

8 0
3 years ago
4. The quotient of x and 7 is 5 more than three times x.
Lostsunrise [7]

Well,

it says The quatient of x and seven is 5 more than three times x

The quotient = x/7

three times x = 3x

x/7 = 3x + 5 This is the answer

8 0
1 year ago
Write an equation for each sentence and then solve.
Whitepunk [10]

Answer:

Step-by-step explanation:

Let the two consecutive numbers be 2n and 2n+2

The sum of these numbers in 2n + (2n+2).

Hence

2n + (2n+2) = 34

4n + 2 = 34

4n  = 32

n =8.

8 0
3 years ago
A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin
Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2}   or  \frac{30-21.21 }{2}\\ = \frac{51.21 }{2}   or  \frac{8.79}{2}\\ = 25.605 or 4.395

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0
3 years ago
Other questions:
  • What is the common difference of the arithmetic sequence? −10x, −7x, −4x, −x, 2x, 5x, ... A) −3x B) −3 C) 3 D) 3x
    7·1 answer
  • If a car can travel 3,267 miles on 33 gallons of fuel, how many gallons are required to travel 107,811 miles?
    8·1 answer
  • Pencils are sold in packages of 5 explain why you need 6 packages in order to have enough for 27 students
    6·1 answer
  • When you use place value to exchange equal amounts when renaming a number what are you doing?
    12·2 answers
  • Sophia is buying party favors.she has a budget of $2.75 a person for 6 people.how much can Sophia send on the party favors?
    5·1 answer
  • The primeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to ind
    15·1 answer
  • Help me ASAP for this question
    7·1 answer
  • Quick algebra question 15 points and will mark brainliest if correct
    14·1 answer
  • Jake deposits $220 in an account every year on his birthday. The account earns 3.2% simple interest and the interest is sent to
    15·1 answer
  • Find three consecutive integers with a sum of -45.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!