Solving Linear Systems by Elimination Solve each of the following linear systems by elimination, and check the solution a) 0.1a -0.4b = 1.9

0.4a +0.5b = -0.8
​

Answer:

D. [tex]a^{2} + b^{2} = c^{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

Answer:

addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)

muliplcation one is: (4x)(1/4)=(3) (1/4)

subtracting one is: 3x-4+4=12+4

division one is: 55/11 = 11x/11

Step-by-step explanation:

Hope this helps and good luck :)))

Answer:

D

Step-by-step explanation:

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Answer:

12 liters per min

Step-by-step explanation:

Math

27/4 = x

9/16      1

27/4=(9/16)x

Divide both sides by 9/16

12=x

Answer:

3 pizzas

Step-by-step explanation:

First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30

We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.

For each pizza, we can add 10 slices, as there are 10 slices of pizza.

For the first pizza, we have 10 slices

For the second, we have 10+10 = 20 slices

For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!

Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.

Answer:

x^2 - 9

Step-by-step explanation:

length = 2x - 6 = 2(x-3)

Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9

Answer: x = 9

2x -6= x +3

2x -x= 3 +6

x= 9

Answer:

1

Step-by-step explanation:

The difference of 12 and 9 is 12 - 9 = 3

Then 3 ÷ 3 = 1

Answer:

ok so on the left ill put minutes and on the right ill put dollars

150=7.50

220=11.00

250=12.50

275=13.75

so now lets break this down by dividing the smallest numbers by 2 a couple times

75=3.75(2)

25=1.25(3)

1=0.05(25)

so for every minute on the phone you pay 5 cents

Hope This Helps!!!

Answer:

for every minute on the phone you pay 5 cents, add brainly plz.

Step-by-step explanation:

Respuesta:

423

Explicación paso a paso:

En la finca hay que vacunar 525 terneros, si se vacunaron 102, ¿cuántos quedan por vacunar?

Dado :

Número de terneros que deben ser vacunados = 525

Número de terneros que han sido vacunados = 102

Número de terneros que quedan por vacunar = (Número de terneros que deben ser vacunados - Número de terneros que han sido vacunados)

Número de terneros que quedan por vacunar = (525 - 102) = 423

Answer:

Step-by-step explanation:

5²+8²=25+64=89

12²=144

5²+8²≠12²

so it is not aright angled triangle.

Answer:

Not a right triangle

Step-by-step explanation:

A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.

That is square of the largest sides = sum of the sqaures of the sides .

That is ,

            [tex]12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89[/tex]

It did not satisfy the Pythagoras theorem.

Hence the given triangle is not a right triangle.

Answer:

3

Step-by-step explanation:

72/4=18 18-3=15 15/5=3

If 3 added to five times a number, and the result is multiplied by 4, the number that satisfies the given conditions is x = 3.

Let's break down the problem step by step to find the number.

First, we start with a variable to represent the unknown number. Let's call it "x".

The problem states that "3 added to five times a number," which can be expressed as 5x + 3.

Next, it says that "the result is multiplied by 4," so we can write the equation as 4(5x + 3).

Finally, the problem states that "the final result is 72," so we set the equation equal to 72:

4(5x + 3) = 72

To solve for x, we simplify the equation:

20x + 12 = 72

Next, we subtract 12 from both sides:

20x = 60

Finally, we divide both sides by 20:

x = 3

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Answer:

For completing the square, you need the coefficient of the x^2 term to be 1.

http://www.1728.org/quadr2.htm

Step-by-step explanation:

Answer:

[tex]\displaystyle y=\frac{1}{2}x+5[/tex]

Step-by-step explanation:

We want to find the slope in slope-intercept form of a line that is parallel to:

[tex]\displaystyle y=\frac{1}{2}x-2[/tex]

And passes through the point (-8, 1).

Recall that parallel lines have equivalent slopes.

Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.

We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:

[tex]\displaystyle y-(1)=\frac{1}{2}(x-(-8))[/tex]

Since we want the equation in slope-intercept form, we can isolate y. Distribute:

[tex]\displaystyle y-1=\frac{1}{2}x+4[/tex]

Therefore, our equation is:

[tex]\displaystyle y=\frac{1}{2}x+5[/tex]

An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.

[tex]\int f(x)dx=\int 10x+3dx[/tex]

This function is relatively easy to integrate because its just a sum of terms with various exponents.

[tex]\int 10x+3dx=5x^2+3x+C[/tex]

To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.

[tex]\frac{d}{dx}5x^2+3x+C=10x+3=f(x)[/tex].

Et voilà.

Hope this helps.

Answer:

4x² - 24x + 20 = 0

Step-by-step explanation:

a(1)² + b(1) + 20 = 0

a(5)² + b(5) + 20 = 0

a + b = - 20 ⇒ b = - a - 20 ...... (1)

25a + 5b = - 20 .......... (2)

(1) -----> (2)

25a + 5( - a - 20) = - 20

20a - 100 = - 20 ⇒ a = 4

4 + b = - 20 ⇒ b = - 24

4x² - 24x + 20 = 0

Answer:

x = -3

Step-by-step explanation:

Here, this is a vertical line

What this mean here is that the x-value remains constant irrespective of the y value

For all the y values, we have a single x-value

so what this mean is to simply locate the x-axis. value and equate it to x

We have this as;

x = -3

Answer:

h

Step-by-step explanation:

Double radius

Answer:

x>-1.25

Step-by-step explanation:

0.2x+4-3>-7-6.2x

0.2x+1>-7-6.2x

0.2x+6.2x>-7-1

6.4x>-8

x>-1.25

or x>-5/4,x>-1 1/4, xE(-1.25, infinite)

The solution to the inequality is x > -1.25.

The complete steps are:

the distributive property: 0.2x+4-3>-7-6.2x

Combine like terms: 0.2x+1>-7-6.2x

the addition property of inequality: 0.2x+6.2x +1 >-7 => 6.4x + 1 > –7

the subtraction property of inequality: 6.4x > -7 - 1 => 6.4x>-8

the division property of inequality: (6.4x)/6.4 > (-8)/6.4 => x>-1.25

Here, we have,

To solve the inequality 0.2(x + 20) - 3 > -7 - 6.2x,

let's go through the steps:

Step 1: Use the distributive property:

0.2x + 4 - 3 > -7 - 6.2x

Step 2: Combine like terms:

0.2x + 1 > -7 - 6.2x

Step 3: Use the addition property of inequality:

0.2x + 1 + 6.2x > -7

6.4x + 1 > -7

Step 4: Use the subtraction property of inequality:

6.4x > -7 - 1

6.4x > -8

Step 5: Use the division property of inequality:

Divide both sides of the inequality by 6.4 to isolate x:

(6.4x)/6.4 > (-8)/6.4

x > -8/6.4

Simplifying further, we have:

x > -1.25

Therefore, the solution to the inequality is x > -1.25.

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Step-by-step explanation:

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Answer:

290 foils

Step-by-step explanation:

145,000÷500=290

Answer:

hii

Step-by-step explanation:

sry but it is an incomplete question

don't mind write the class and chapter name and subject name.

okk Gudni8

Answer:

The table representing Relationship B is option 2

[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]

Step-by-step explanation:

The relationship shown by Relationship A and Relationship B = The change in the temperature for a pot of water om the stove

The rate of Relationship B > The  rate of Relationship A

The table for relationship A is given as follows';

[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&61.3\\3&&64.9\\7&&79.3\\9&&86.5\end{array}[/tex]

The time in minutes are the x-values, while the temperature in °C Ere the y-values

The rate for Relationship A, [tex]m_A[/tex] = (86.5 - 61.3)/(9 - 2) = 3.6

Therefore, the rate for Relationship B > 3.6

By checking each option, we note that in option 2, the maximum value for the y-value is the same as for Relationship A, which is 86.5°C, while the minimum value for the time, t, is lesser than that for Relationship A, (60.6 minutes < 61.3 minutes) therefore, we get;

The rate for option 2 = (86.5 - 60.6)/(9 - 2) = 3.7

Therefore, the table that represents the Relationship B is the table for option 2

[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]

Answer:

copper ??  the "slope" is 8.75

Step-by-step explanation:

Answer:

s + l > 300

40 * s + 90 * l > 1500

Step-by-step explanation:

Let's say the amount of small bags is equal to s and the amount of large bags is equal to l.

The total amount of bags is equal to the sum of the small bags and large bags, as there can only be small or large bags. Therefore, the total amount of bags is equal to s + l. As the total amount of bags is greater than 300, we can write

s + l > 300

Next, the total number of packets of crackers exceeds 1500. We can find the total number of packets based on the amount of small and large bags. Because each small bag holds 40 packets, we can say that the amount of packets in small bags is equal to 40 * s. Similarly, the total amount of packets in large bags is equal to 90 * l. Therefore, the total amount of packets is equal to

40 * s + 90 * l

and since the total number of packets is greater than 1500, we can say

40 * s + 90 * l > 1500

Answer:

Below.

Step-by-step explanation:

(1/3)X = 849

x = 849*3 = 2547

The total pay per month of an operator is equal to $2547.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3.

The total monthly salary will be calculated as,

(1/3)X = 849

X = 849 x 3

X= 2547

Therefore, the total pay per month of an operator is equal to $2547.

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Answer:

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

The slope is

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

The y-intercept is 0

The equation of line between the points is y = ( 2/7 )x

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 7 , 2 )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2/7 )

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

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Answer:

$2.25

Step-by-step explanation:

>givens:

2 pretzels + 1 lemonade = $5.75

2 lemonades = 1 pretzel + $0.25

>find from the first equation how much is 1 lemonade

2 pretzels + 1 lemonade = $5.75, subtract 2 pretzels from both sides

1 lemonade = 5.75 -2 pretzels

>substitute in the second equation 2 lemonades with 2(5.75-2 pretzels)

2 lemonades = 1 pretzel + $0.25

2(5.75-2 pretzels) =  1 pretzel + $0.25, distribute 2 in parentheses

11.5 -4 pretzels = 1 pretzel +0.25, isolate like terms

11.5-0.25 = 1+4 pretzels, combine like terms

11.25 = 5 pretzels, divide both sides by 5

1 pretzel = $2.25

*you can use the letter "p" for pretzel and "l" for lemonade to make the equations more concise

Answer:

Option number B

Step-by-step explanation:

As per the statement:

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

Given the equation as:

7h - 5 ( 3h -8 ) = -72

Using distributive property, 

a ⋅ ( b + c ) = a ⋅ b + a ⋅ c

7h - 15h + 40 = - 72

Combine like terms;

-8h + 40 = -72

Subtract 40 from both sides we have;

-8h 8= -112

Divide both sides by -8 we have;

h = 14 hours

Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.