Which variable will you choose to eliminate? How? -3x -8y=-24 and
3x - 5y= 45

Answers

Answer 1

Answer:

Lets choose y

-8y=3x-24y=-3/8x+3

Plug in

3x+15/8x-15=45 39/8x= 60 x=480/39
Answer 2

Answer:

I'll choose 'x' variable first to eliminate because -

-3 (coefficient of 'x' in Eqn.1)  & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]

⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]

⇒ [tex]-13y = 21[/tex]

⇒ [tex]y = \frac{-21}{13}[/tex]

Putting the value of y in eqn.2 ,

⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]

⇒ [tex]3x + \frac{105}{13} = 45[/tex]

⇒ [tex]3x = 45 - \frac{105}{13}[/tex]

⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]

⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]

Reducing the fraction gives ,

⇒ [tex]x = \frac{160}{13}[/tex]


Related Questions

Based on the figure below, what is the value of x? (look at picture \/)

Answers

Answer:

X = 9

Step-by-step explanation:

90 - ( 30 + 15 ) = 45

45/5 = 9

write the product in standard form (2x + 5) ^2

Answers

Answer:

4x^2+20x+25

Step-by-step explanation:

(2x+5)^2 = (2x+5) (2x+5)

Using the foil method : 2x(2x) = 4x^2

(2x) (5) = 10x

(2x) (5) = 10x

5 (5) = 25

Combine like terms

given the degree of measure of angle KJH is 66 degrees find the measure in radians​

Answers

9514 1404 393

Answer:

  E)  0.366π

Step-by-step explanation:

There are π/180 radians in a degree.

  66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians

__

11/30 = 0.366... repeating, so would normally be rounded to 0.367

Help.... help i don’t need a link I need someone who can help me out.

Answers

Answer:

-11/12

Step-by-step explanation:

First add the numerator

5/8 + 3/4

Get a common denominator

5/8 + 3/4*2/2

5/8 + 6/8

11/8

Then subtract the denominator

-2/3  - 5/6

-2/3 *2/2   -5/6

-4/6 - 5/6

-9/6

Then divide

11/8 ÷ -9/6

Copy  dot flip

11/8 * -6/9

Simplify

11/8 * -2/3

11/3 * -2/8

11/3 * -1/4

-11/12

There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?

Answers

Answer:

Step-by-step explanation:

It is C

Answer: C- 303

Step-by-step explanation:

3. Write an equation of the line that passes through (2, 3) and is perpendicular to y=-1/2x - 5

Answers

Answer:

y=2x-1

Step-by-step explanation:

A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.

Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.

y=mx+b

y=2x+b

3=2(2)+b

-1=b

Therefore the equation is y=2x-1

Question 1 of 12
Liam sorted music albums in his collection into three genres as shown
Genre
Rock
Country
Holiday
Count
7
3
5
Which statements identify correct ratios for the album collection Select all that apply
The ratio of holiday music albums to the entire collection is 5:10.
The ratio of rock music albums to country music albums is 7 to 3.
The ratio of rock music albums to holiday music albums is 5 to 7
The ratio of country music albums to the entire collection is 1 to 5.
There is 1 holiday music album for every 3 albums in the collection

Answers

Answer:

Step-by-step explanation:

Solve using Quadratic formula simplified square root

Answers

Answer:

Step-by-step explanation:

Question 3 of 10
Which best describes how empirical probability is which which best describes how empirical probability is determined?
A. By considering all possible outcomes
B. By deciding which events are unpredictable
C. By deciding which events are random
D. By personal experimentation and testing
SUBMIT

Answers

Answer:

B. By personal experimentation and testing

Step-by-step explanation:

The answer is b. By deciding which events are unpredictable

Two of the vertices of a triangle are located at (6,0) and (5,10) on the coordinate plane. The third vertex is located at (x,20) , where x is a negative value. The area of the triangle is 60 square units.

Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, write an equation that can be used to find the value of x .
PLEASE I NEED HELP! ASAP I WOULD REALLY APPRECIATE IT!!

Answers

The answer is 1,1 . 3,-3, 5, -3

Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.

What is Shoelace formula ?

Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Shoelace formula (Green’s Theorem)

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Where A is the area of the polygon and n is the number of sides of the polygon.

Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20

A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]

60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]

60 = [tex]\frac{1}{2} |40-10x|[/tex]

60 = [tex]|20-5x|[/tex]

So 20 - 5x = -60

5x  = 80

x = 16

20 - 5x = 60

5x  = -40

x = -8

since x is a negative value,

we can know x = -8

Hence the value of x is -8.

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What is MR?

MR =

help me plz

Answers

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

MR = MN+NP+PQ+QR

MN=4 and MN≡QR so QR=4

PQ=6 and PQ≡NP so NP=6

MR = 4+6+6+4 = 20

Find the LCD of the given rational equation: 9/x-1+-3x/x+6=4x/x^2-7x+6

Answers

Answer: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]

From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

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Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) decongestant nasal sprays on forecasted pigweed pollen count. He would like to determine if he can use a straight ine equation to predict OTC decongestant nasal spray sales from the allergy forecast for pigweed pollen. The store manager records the data for five random days. The pollen forecast is for pigweed only and is given in parts per square meter (ppm )2
Pollen forecast OTC decongestant sales (dollars)
14 $101
19 $89
13 $48
6 $21
9 $47
The store manager calculates the regression equation for the data as 5.514x-6.073.
Determine the standard error of the slope of the regression line, SEb, for the data. Give your answer precise to at least three decimal places SE=______.

Answers

Answer:

3.83

Step-by-step explanation:

Mean of x = Σx / n

Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2

Sum of square (SS) :

(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8

Mean of y = Σy / n

Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2

Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8

df = n - 2 = 5 - 2 = 3

Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6

√(Σ(y - ybar)² / df) = √1449.6 = 38.074

Standard Error = √(Σ(y - ybar)² / df) / √SS

Standard Error = 38.074 / √98.8

Standard Error = 3.83

((-3)^2)^4
Simplify the expression wrote your answer as a power

Answers

Answer:

(-3)^8

Step-by-step explanation:

PLS HELP ASAPPPP ASPAP PZLZLZ

Answers

Answer:

c???

Step-by-step explanation:


What is the Standard Form of 82?

Answers

Answer:

8.2 x 10^1

Step-by-step explanation:

Work out m and c for the line: y = 7 − x

Answers

You see it’s dfuunny how I have no clue wigs I could tho xx

The line y = 7 − x has a slope(m) of - 1 and y-intercept b is 7.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, an equation of a line y = 7 - x.

We can rearrange this in the form of slope-intercept form which is

y = mx + b.

y = - x + 7.

y = (-1)x + 7.

The slope (m) of this line is - 1 and the y-intercept(b) is 7.

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When writing a summary about the theme you should....

A
Include the theme in the first sentence.











B
Write what the message shows you.











C
Write details about the story.











D
All of the above.

Answers

Answer: D, All of the above

Step-by-step explanation:

I think this would be all of the above but I’m sorry if it’s wrong. Hope this helps :-)

What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm?

Answers

Answer:

2200 cubic cm

Step-by-step explanation:

The volume of a rectangular prism is found using the formula:

V = l*w*h

V = 10 cm * 20 cm * 11 cm

V = 2200 cubic cm

Answer: 2200

Step-by-step explanation:

Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.

Answers

Answer:

Area of the figure = 25.7 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD

Area of the rectangle ABCD = Length × Width

                                               = BC × AB

                                               = 8 × 4

                                                = 32 units²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

r = [tex]\frac{\text{Diameter}}{2}[/tex]

r = [tex]\frac{1}{2}(CD)[/tex]

r = [tex]\frac{4}{2}[/tex]

r = 2 units

Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]

                                                       = 2π

                                                       = 6.28 units²

Area of the given figure = 32 - 6.28

                                         = 25.72 units²

                                         ≈ 25.7 units²

What is the value of x??
Please help!!!

Answers

Step-by-step explanation:

first description must be given to the questions

1 hour 31 minutes =
minutes

Answers

Answer:

91 minutes

Step-by-step explanation:

1 hour= 60 minutes.

31 minutes + 60 minutes = 91 minutes.

If this helps please mark as brainliest

Answer:

91 minutes

Step-by-step explanation:

1 hour = 60 minutes

60 + 31 = 91 minutes

The mirror has a frame. The diameter of the mirror with the frame is 17 inches. To the nearest hundredth, what is the area of the mirror with the frame? Use 3.14 for π.

Answers

Answer:

the diameter: 17inches

so the radius is: 8.5 inches

the formula for calculating a circle's area:

r×r×π

so:

8.5×8.5×3.14= 226.865

The required to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

We know that the diameter of the mirror with the frame is 17 inches, which means that the radius of the mirror is half of that or 8.5 inches.

To find the area of the mirror with the frame, we need to subtract the area of the frame from the area of the circle. The area of the circle is:

[tex]A_{circle} = \pi r^2A_{circle} = 3.14 \times (8.5)^2A_{circle} \approx 226.98\ \ \ square inches[/tex]

To find the area of the frame, we need to subtract the area of the inner circle (the mirror) from the area of the outer circle (the frame). The radius of the inner circle is 8.5 inches, and the radius of the outer circle is half of the diameter of the mirror, or 8.5 + (1/2) = 9 inches.

The area of the frame is:

[tex]A_{{frame}} = \pi (9^2) - \pi (8.5^2)A_{frame} = 3.14 \times (81 - 72.25)A_{frame} \approx27.36 \ \ \ square inches[/tex]

Now we can find the area of the mirror with the frame by adding the area of the circle and the area of the frame:

[tex]A_{mirror\ with \ frame} = A_{circle} + A_{frame}A_{mirror\ with \ frame} \approx 226.98 + 27.36A_{mirror\ with \ frame} \aprrox 254.34 \ \ \ square inches[/tex]

Therefore, to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.

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A boat can travel 395 miles on 79
gallons of gasoline. How far can it travel
on 21 gallons?

Answers

86………………………………………………

Evaluate the expression 18 - 5 + 4 / 5 x 1

Answers

Answer:

18 - 5 + 4 / 5 x 1

18-5+4/5

13+4/5

(75+4)/5

79/5

hope it is helpful to you

Noah has 19 bacon pancakes on his plate, and Mackenzie has x less bacon pancakes than Noah. Choose the expression that show how many bacon pancakes Mackenzie has.​

Answers

Answer:

19-x

the expression that show how many bacon pancakes Mackenzie is 19 - x

Population Inferences

The Mitchell Junior High newspaper staff conducted two samples in which 40 students were randomly selected to represent the entire 600 member student

population. The results of the two surveys are shown below.

7:45 AM

START TIME

12

14

SAMPLE #1

SAMPLE #2

8:30 AM

START TIME

18

19

9:00 AM

START TIME

10

7

Read the headline and state of the headline is supported by the data.

OVER 300

STUDENTS

WANT TO

START AFTER

8:00 AM

A

Supported

Not Supported

Answers

Answer:

Over 300 students did not support start time after 8:00am

Step-by-step explanation:

Given

[tex]N = 600[/tex] --- population

[tex]n = 40[/tex] --- sample

See attachment for dataset

Required [True/False]

Over 300  wants start time after 8:00am

First, we calculate the number of samples that wants start time after 8:00am

[tex]x = 8:30am\ start + 9:00am\ start[/tex]

For sample 1

[tex]x_1 = 18[/tex]

The corresponding value of x1 in the overall population is:

[tex]X_1 = \frac{x_1}{n} * N[/tex]

[tex]X_1 = \frac{18}{40} * 600[/tex]

[tex]X_1 = \frac{18 * 600}{40}[/tex]

[tex]X_1 = \frac{10800}{40}[/tex]

[tex]X_1 = 270[/tex]

For sample 2

[tex]x_2 = 19[/tex]

The corresponding value of x2 in the overall population is:

[tex]X_2 = \frac{x_2}{n} * N[/tex]

[tex]X_2 = \frac{19}{40} * 600[/tex]

[tex]X_2 = \frac{19* 600}{40}[/tex]

[tex]X_2 = \frac{11400}{40}[/tex]

[tex]X_2 = 285[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00am

None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.

The population is 600 and the sample is 40.

What are Population Inferences?

The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.

Over 300 students did not support start time after 8:00 am

For sample 1

[tex]\rm x_{1} =18\\[/tex]

The corresponding value of x1 in the overall population is:

[tex]\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\[/tex]

For sample 2

[tex]\rm x_{2} =19[/tex]

The corresponding value of x2 in the overall population is:

[tex]\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00 am.

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Using no other digits except 2 and 5 write down, if possible, a three-digit multiple of 6

Answers

Answer:

255

522

525

252

225

552

Step-by-step explanation:

IM NOT SURE

Answer:

A three-digit multiple of 6 that uses no other digits except 2 and 5 is 252.

Step-by-step explanation:

The question is basically asking a number that only uses 2 and 5 that is divisible by 6.

When you divide 252 by 6, you get 42, and this proves that 252 is a multiple of 6.

27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
is the probability that he has chosen 2 yellow apples?

Answers

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

Write an inequality for the graph

Answers

The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)

An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)

So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38
Other Questions
3X + 2 = 17 how do i show my work for this help Read the passage. Which word best replaces the underlined part of the paragraph to remove a logical fallacy? will O might O shall continue to Recess does not just have health benefits. It can actually create more productive students. Principal McLain said one result of allowing more recess time is that when the students return to the classroom, they quickly settle down and get to work, because they know another recess is coming. He also said that students are more successful problem solvers because they have time at recess to work out differences and learn to play together. Without more recess time, students are going to struggle to solve their problems. O have been known to PLEASE help In the coordinate plane, point C lies on segment AB. If the ratio of the length of segment AC to the length of segment CB is 3:1, find the x-coordinate of C given the coordinates of A(3, 12) and B (14, 17).Question 14 options:A. 11.25B. 6C. 5.75D. 12 Can someone help me with this? What is the area of the isosceles triangle shown? Can someone help me find the measure of each angle indicated please pls help me out here! ty in advance!! What is x? Please try and show work. ANSWER ASAP! SCAM ANSWERS WILL BE REPORTED. Will award brainliest for correct answer! The total number of running yards in a football game was less than 100. The inequality x True or False FDR said, An event that will live in infamy" in his famous speech YOOO PLEASE HELPPPP!!!! there is a lot of poins pleas help meee Which headline most clearly communicates a neutral point of viewon thePresident's actions?O A. President Vetoes Tax Legislation B. President Destroys Hope for Tax Reform C. President Kills Bipartisan Tax Reform BillO D. President Takes a Stand Against Tax Evasion Does the show "Grey's Anatomy" give accurate medical information, why or why not?? Who picks federal judges? _the president _the House of Representatives_the senate_the Supreme Court Why are index fossils useful for determining the age of other fossils or rock layers? What people conquered the Abbasid caliphate? 4x 410x 2015x + 153x 36x 1220x + 20. wHAT is 3+3+4+5+6+7???? The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.Number of T-Shirts Total Cost (dollar)11 15316 21321 273Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t? A. c(t) = 12 + 12t B. c(t) = 21t C. c(t) = 21 + 12t D. c(t) = 132t