MATHEMATICS HIGH SCHOOL

How many solutions are there to the system of equations? 4x-5y=5 -0.08x+0.10y=0.10

Answers

Answer 1

Answer:

Using substitution method, the system of linear equations has no solution.

What is the solution to the system of equations?

To determine the solution to the system of equations, we can use substitution method;

4x - 5y = 5 ...eq(i)

-0.08x + 0.10y = 0.10 ...eq(ii)

From equation (i)

4x - 5y = 5

let's make x the subject of formula;

4x = 5 + 5y

x = (5 + 5y) / 4 ...eq(iii)

Put eq(iii) into equ(ii)

-0.08[(5 + 5y)/4] + 0.10y = 0.10

(-2/5 - 2/5y)/4 + 0.10y = 0.10

y = no solution

Since y has no solution, this implies that the system of linear equations has no solution.

Learn more on system of linear equations here;

brainly.com/question/13729904

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Answer 2

Answer: Simple..

you have:

4x-5y=5

-0.08+0.10y=0.10

Take....

4x-5y=5----> *1 -----> 4x-5y=5

-0.08+0.10y=0.10---> *50---->-4x+5y=5

Now....

4x-5y=5
-4x+5y=5

As you may be able to tell it has no solution.

Thus, your answer.

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4. Which of the following is an arithmetic sequence?A. 4, 1, -2,-5, -8 B.4,-12, 36, -108

How do i solve divide 5/8 by 50%

Answers

50% is $(50)/(100)$
We have two ways to do this, pick your favor:
either by fractions:
$(5)/(8)$ ÷ $(1)/(2)$
( $(50)/(100) = (1)/(2)$
Multiply by the reciprocal of $(1)/(2)$ which is 2(flip it)

$(5)/(8)$ × 2 = $(5)/(4)$ = 1.25

Or change them to decimals:
$(5)/(8) = 0.625$
$(50)/(100)$ = 0.5

0.625 ÷ 0.5

0.5 I 0.625
multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
0.625 × 10 = 6.25
1.25
5 I 6.25
-5
12
-10
25
-25
0

0.625 ÷ 0.5 = 1.25

4. (02.06 MC)A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Answer: See explanation

Step-by-step explanation:

Diameter = 8 inches

Radius = Diameter/2 = 8/2 = 4 inches

Height of the cylinder = 3 inches

Height of the cone = 18 inches

Volume of a cylinder = π r² h

= 3.14 × 4² × 3

= 3.14 × 16 × 3

= 150.72

Volume of a cone = 1/3 π r² h

= 1/3 × 3.14 × 4² × 18

= 1/3 × 3.14 × 16 × 18

= 301.44

From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.

Which best describes the behavior of the conquistadors toward Native Americans? A.
The conquistadors robbed, enslaved, and killed Native Americans.

B.
The conquistadors paid tribute to the Native Americans in exchange for safe passage through their lands.

C.
The conquistadors tried to educate the Native Americans about the need to care for their lands.

D.
The conquistadors allowed the native people to keep their own beliefs and religions as long as they paid their taxes.