System of Linear Equations - Elimination


Given that x and y are real numbers satisfying the equations 32 – 2y = 22 and 7x + 3y =
105, what is the value of x+y




I will mark for brainliest and 100 point

Answer:

a) [tex]\sf x = 1.4[/tex]   b) [tex]\sf x = 1.3[/tex]

Let the missing numbers be x,

solving steps:

a)

[tex]\sf 2.8 * x = 3.92[/tex]

[tex]\sf x = \frac{3.92}{2.8}[/tex]

[tex]\sf x = 1.4[/tex]

b)

[tex]\sf x * 1.7= 2.21[/tex]

[tex]\sf x = \frac{2.21}{1.7}[/tex]

[tex]\sf x = 1.3[/tex]

note that divoding a negative number and a positive number will give a negative number so.. -4.12

Answer:

uh

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

y < 2

Step-by-step explanation:

we can see that the area below y - 2, is shaded. as the line is dotted we shall use " < " sign. go two upwards from origin and that's why our value of y is 2.

The horizontal dotted line is located at y = 2 and the colored area is below that line, so the solution would be less than 2.

Answer: y < 2

The area is 114 yards

Step-by-step explanation:

(10x9) + (4x6)

Answer:

3600

Step-by-step explanation:

multiply them all i believe im wrong tho i dont know

Use the z-distribution, we have that:

1.

The null hypothesis is of [tex]H_0: p = 0.84[/tex].

The alternative hypothesis is of [tex]H_1: p > 0.84[/tex].

2. It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.

3. We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.

4. The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.

Item 1:

At the null hypothesis, we test if the proportion of teenagers that think highly of their mother is of 84%, hence:

[tex]H_0: p = 0.84[/tex]

At the alternative hypothesis, we test if this proportion is greater than 84%, that is:

[tex]H_1: p > 0.84[/tex]

Item 2:

It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.

Item 3:

135/150 = 0.9.

We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.

Item 4:

The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.

More can be learned about the use of the z-distribution for an hypothesis test at https://brainly.com/question/26454209

Answer:

since you didn't put the answer choices, this is what I know...

4 to the 5 power is 1024

it can be written as:

4x4x4x4x4 or 4^5

Step-by-step explanation:

Answer: A

Step-by-step explanation:

There are 8 ticks until the whole number 1. It is on the 2nd tick. 2/8

Answer:

A. 2/8

Step-by-step explanation:

2/8 = 0.25

6/8 = 0.75

8/2 = 4

The only one that makes the most sense is 2/8 or 0.25

Look at the number lines in the pictures

Answer:

5x + 3y

Step-by-step explanation:

6x − x + 5y − 2y

(6x − x) + (5y − 2y)

5x + 3y

Hope that helps!

Answer:

[tex]5x+3y[/tex]

Step-by-step explanation:

Given the following question:

[tex]6x-x+5y-2y[/tex]

In order to find the answer, we combine like terms by adding/subtracting terms with similar variables.

[tex]6x-x+5y-2y[/tex]
[tex]6x-x=5x[/tex]
[tex]5y-2y=3y[/tex]
[tex]5x+3y[/tex]

Hope this helps.

Answer:

[tex] slope = \frac{6 - ( - 2)}{x - ( - 3)} \\ \frac{ - 8}{5} = \frac{6 + 2}{x + 3} \\ - 8(x + 3) = 5(6 + 2) \\ - 8x - 24 = 5(8) \\ - 8x - 24 = 40 \\ - 8x = 40 + 24 \\ \frac{ - 8x}{ - 8} = \frac{64}{ - 8} \\ x = - 8[/tex]

Answer: 438000000 days.

Step-by-step explanation: I'm not joking, it's actually 438000000 days.

Step-by-step explanation:

ab and dc are parallel lines and ad is a traversal

angle aef = angle edc (corresponding angles)

180-13x-57 = 5x-3

183-57 = 18x

126= 18x

x= 7

angle aef =180-13*7-57= 32

Answer:

around 40.2

Step-by-step explanation:

To find this you can cross multiply.

(11/15) = (x/58.8). Solve for x

So, the measure of NO is 43.12.

The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given to us

30 points for fish

80 points for Octopus

-15 points for crab

As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,

Points earned through fishes [tex]=x \times 30 = 30 x[/tex]

Points earned through Octopus [tex]=y \times 80 = 80 y[/tex]

Points earned through crabs[tex]=z \times -15= -15 z[/tex]

Total points earned by Mona in the video game

= Points earned through fishes, octopus, and crabs

[tex]=30x + 80 y -15z[/tex]

Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.

Learn more about Expression:

https://brainly.com/question/13947055

Step-by-step explanation:

Mark me as brilliant plzzz

When x=4

1. Substitute the x into the equation.

y=3(4)+10

2. Solve for y

y=3(4)+10

y=12+10

y=22

When x=5

1. Substitute the x into the equation.

y=3(5)+10

2. Solve for y

y=3(5)+10

y=15+10

y=25

When x=6

1. Substitute the x into the equation.

y=3(6)+10

2. Solve for y

y=3(6)+10

y=18+10

y=28

Answer:

2.7×10−6

Step-by-step explanation:

I did this on a calculator I have no idea what the step by step is

Answer:

Quadratic

Step-by-step explanation:

anytime the Y values repeat in that fashion, it's going to be a parabola aka quadratic function

Answer:

57

If it's a triangle, you just take that answer and multiply it by 0.5

Step-by-step explanation:

Well if you take the two numbers and multiply them together- that is what you get. When it comes to area, you take the two side lengths and multiply them together

Answer:

57m^2

Explanation:

10 x 5.7 = 57 (because its a decimal)

so thats why its 57m^2

Answer:

{x,y}={-8,-5}

Step-by-step explanation:

/ Solve equation [2] for the variable  y

 [2]    y = 6x + 43

// Plug this in for variable  y  in equation [1]

  [1]    -x + 2•(6x+43) = -2

  [1]    11x = -88

// Solve equation [1] for the variable  x

  [1]    11x = - 88

  [1]    x = - 8

// By now we know this much :

   x = -8

   y = 6x+43

// Use the  x  value to solve for  y

   y = 6(-8)+43 = -5

Solution :

{x,y} = {-8,-5}

hope this helps!

Answer:

a) 4 cm

b) 5 cm

Step-by-step explanation:

a) Area of a rectangle = width x length

From inspection, the width of this rectangle is 2 cm and the length is 8 cm

⇒ area of the rectangle = 2 x 8 = 16 cm²

A square has 4 sides of equal measure.

Let the side of a square = [tex]x[/tex]

Therefore, the area of a square = [tex]x \times x = x^2[/tex]

If the square has the same area as the rectangle, then

[tex]x^2=16[/tex]

Square root both sides:  [tex]x = \sqrt{16} =\pm4[/tex]

Since the length of a side cannot be negative, [tex]x=4[/tex] only

So the side length of the square = 4 cm

b) Perimeter of a rectangle = 2 x length + 2 x width

⇒ perimeter of the rectangle = (2 x 8) + (2 x 2) = 20 cm

Since the side lengths of a square are equal, and a side length = [tex]x[/tex]

Perimeter of a square = 4 x [tex]x[/tex] = 4[tex]x[/tex]

If a square has the same perimeter as the rectangle, then

[tex]4x=20[/tex]

Divide both sides by 4:  [tex]x=20 \div 4 = 5[/tex]

side length of this square = 5 cm

Answer:

a)4cm  b)5cm

Step-by-step explanation:

a)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Area=l*b\\\\Area=8cm*2cm\\\\Area=16cm^{2}[/tex]

Area of the rectangle is 16cm².

When,

Area of the rectangle is equal to the area of the square then,

Area of square=16cm²

Now,

→Length=√Area

→Length=√16cm²

→Length=4cm

b)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Perimeter=2(l+b)\\\\Perimeter=2(8cm+2cm)\\\\Perimeter=2(10cm)\\\\Perimeter=20cm[/tex]

The perimeter of rectangle=20cm

When,

The perimeter of the rectangle is equal to the perimeter of the square then,

The perimeter of square=20cm

Now,

Length=Perimeter/4

Length=20cm/4

Length=5cm

Answer:

One solution

Step-by-step explanation:

So long as you don't have any term x² or to a power higher than 2, the equation will have 1 solution only.

Answer:

1. y = 3x - 5

2. y = -4x + 2

3. y = -3x - 4

4. y = -3x - 6

Step-by-step explanation:

These questions are pretty easy. The only thing you have to do, to turn the equation into slope intercept form, is to solve for y in each equation

All the equations are in standard form, and we need to rewrite them in slope intercept form, so here are the steps

For the first equation: -3y + 9x = 15

We solve for y in the equation

-3y + 9x = 15

1. Subtract 9x from each side to isolate y

-3y + 9x - 9x = 15 - 9x

2. Simplify

-3y = 15 - 9x

3. Divide each term by -3 to get y by itself.

-3y/-3 = 15/-3 -9x/-3

4. Simplify

y = 3x - 5

For the second equation, we do the same proces, we just solve for y
−4x − y + 2 = 0

Step 1: Add 4x to both sides.

−4x − y + 2 + 4x = 0 + 4x

−y + 2 = 4x

Step 2: Subtract 2 to both sides.

−y + 2 − 2 = 4x − 2

−y = 4x − 2

Step 3: Divide both sides by -1

-y/-1 = 4x/-1 -2/-1

y = -4x + 2

For the third equation, we do the same thing too

2y + 6x = -8

Step 1: Subtract 6x to both sides.

6x + 2y − 6x = −8 − 6x

Switch -8 and -6x

2y = −6x − 8

Step 2: Divide both sides by 2.

2y/2 = -6x/2 -8/2

y = -3x - 4

And for the last equation, we do the same thing we did in the second equation

-6 - 3x - y = 0

Step 1: Add 3x to both sides.

−3x − y − 6 + 3x = 0 + 3x

−y − 6 = 3x

Step 2: Add 6 to both sides.

−y − 6 + 6 = 3x + 6

−y = 3x + 6

Step 3: Divide both sides by -1.

-y/-1 = 3x/-1 + 6/-1

y = -3x - 6

Answer:

1. 6 words per minute

2. Michaela

3. Robert, Laura, Michaela

Step-by-step explanation:

There is $6,370. 78 money is in the account after 4 years.

Given

Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

The amount after 4 years is calculate by following formula;

[tex]\rm V(t)= P(1+\dfrac{r}{n})^{nt}[/tex]

Where t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years.

Substitute all the values in the formula;

[tex]\rm V(t)=6,000\times (1+\dfrac{0.015}{12})^{12\times 4}\\\\V(t)=6,370.78[/tex]

Hence, there is $6,370. 78 money is in the account after 4 years.

To know more about compound interest click the link given below.

https://brainly.com/question/3068001

Answer:

it's b $6,370.78

Step-by-step explanation:

Answer:

x = 4 y = 3

Step-by-step explanation:

4 + 3 = 7

4 - 3 = 1

There is only one answer

Answer:

here we can use mathematics to make an equation but according to the questions rewarded marks we can only determine an sketch of best fit line

and not good in 1993 (predicted as graph is less accurate)

other period is 1995 to 2005

just somewhere you can see an line straight

Answer:

c

Step-by-step explanation:

the height is 6 and the length is 12

the shaded part is 3 boxes by 3 boxes

we can write it as 3/6 by 3/12

it simplifies to 1/2 by 1/4

Answer:

A & C

Step-by-step explanation:

It is A & C!

It is A because:

You said it yourself in the last paragraph of your question:

"An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded."

A is fits the perfect description for what you said in the last paragraph.

It is C because:

C is the other answer because it's an equivalent fraction to A.

1/4 x 3/3 = 3/12

1/2 = 3/6

Hope this helps, rose <3

Answer:

-24

Step-by-step explanation:

6×-4=-24(divide by 4)

=-6(divide by 26)

=-0,23