To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. By using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. Y = negative 14. Amos's solution is (2, –14). What did he do wrong?

Answers

Answer 1

Answer:

He forgot to multiply 6x by -5

Step-by-step explanation:

8x + 5y = 18

6x + y = -2

-30x - 5y = 10

Answer 2

Answer: C I think

Step-by-step explanation:


Related Questions

Three coins are flipped.
a)
How many possible outcomes are there?
b)
What is the possibility of getting no heads?
c)
What is the probability of getting at least 2 tails?

I'm kinda stuck. plz help​

Answers

Answer:

ooooh Mthswath again. a=8  b=1/8  c=4/8 or 1/2

Step-by-step explanation:

a= there are 8 outcomes you can multiply the outcomes. 2×2×2=8

b= (i don't want to insert a picture again, as I already did for the last one you asked) So it is 1/8

c= Again, list out all the possibilities and you will find there are 4  with at least 2 tails or simplify it, 1/2

The area of the patio is 216 square feet. Write an equation that represents the area of the patio

Answers

Answer:

[tex]216=2w \times w[/tex]

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

[tex]A= l\times w[/tex]

Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Now let's assume that the length of the patio is double than the width.

[tex]l=2w[/tex]

So, the equation that represents this problem is

[tex]216=2w \times w[/tex]

Answer:

x(x+6)=216

Step-by-step explanation:

It would actually be x instead of w because in the equation, they are using x's.  

The equation would then be solved by making the equation x^2+6x=216.

By completing the square using (b/2)^2, you would then get the width to be 12 and the length to be 18.

Hope this helps!

Lightning electronics changes $9.98 plus 0.75 per pound to ship electronics purchases. Write and solve an equation to find the weight in pounds, of a DVD player for which the shipping charge is $18.23

Answers

Answer: 11 pounds

Step-by-step explanation:

x : # of pounds an electronic is

9.98 + 0.75x : total cost of shipping an electronic that is "x" pounds

9.98 + 0.75x = 18.23

0.75x = 8.25

x = 11 pounds


2. In two tosses of a fair die, what is the probability that:
i. The sum of the two numbers that show up is 7?
ii. The sum of the two numbers that show up is even?
iii. The sum of the two numbers that show up is greater than 9?
3. The probability that an egg will break when kept in the store is 5 out of every 200. How many broken eggs do you expect from a crate containing 600 eggs?

Answers

Answer:

Step-by-step explanation:

The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.

i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)

The probability that the sum of the two numbers that show up is 7 is

6/36 = 1/6

ii) the number of outcomes whose sum is even are 18

The probability that the sum of the two numbers that show up is even is

18/36 = 1/2

ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)

The probability that the sum of the two numbers that show up is greater than 9 is

6/36 = 1/6

3) this is a poisson distribution. We want to determine the mean.

Mean = np

p = 5/200 = 0.025

n = 600

Therefore,

Mean = 0.025 × 600 = 15 eggs

15 eggs are expected to be broken from a crate containing 600 eggs

What is the volume of a cone with diameter of 30 ft and height of 60 feet use 3.14 for pi enter your answer in the Box

Answers

Area of the top:

3.14 x 15^2 = 706.5 square feet.

Volume = area of top x height:

Volume = 706.5 x 60 = 42,390 cubic feet

Write an equation in slope-intercept form of the line with the given characteristics:

1. Slope: -3; passes through (0,5),

2. Passes through (0, -2) and (4,-1)

Answers

Answer:

1. Slope: -3; passes through (0,5)

y = mx + b

5 = -3(0) + b

5 = b

y = -3x + 5

2. Passes through (0, -2) and (4,-1)

m = -1 + 2 / 4 - 0

m = 1/4

y = mx + b

-2 = 1/4(0) + b

-2 = b

y = 1/4x - 2

Step-by-step explanation:

Part 1

1. write down the slope intercept formula

2. replace x and y by their value

3. solve for b

4. write your answer by putting them in the formula again

Part 2.

1. label your ordered pairs and write down the slope formula

2. solve for the slope by replacing the letters by their values

3. choose any one of the pairs, write down the slope intercept form formula and replace the letters by their values.

4. solve for b, and then put your answers back into the formula.

O'neil cinema charges $10.50 for each adult and $8.50 for each child. The total amount in ticket revenue one evening was $3136 and if there were 56 more children than adults. Write and solve a system of equations to determine how many children attended?

Answers

Answer:196 children 140 adults

Step-by-step explanation:

what’s the value of x ?

Answers

The answer is 29
Here’s my work:

An 11 ft flag pole is mounted on top of a school building. If the top of the flagpole forms a 60° angle with the ground 50 ft from the base of the building, about how tall is the school building?

Answers

Answer:

39 feet

Step-by-step explanation:

plz give me brainliest >.<

what is 4 raised to the third power​

Answers

Answer:

4³=64

Step-by-step explanation:

A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.

Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).

》 4×4×4=64

Draw a tree diagram for three fair coins tossed together once.
a) Derive the sample space.
b) Find the probability of getting:
i) at least one head
ii) at most one tail
iii) exactly three heads.

Answers

Answer:

I have attached a picture with the work to your question.

Please see the attachment below.

I hope this helps.

By visual inspection, determine the best-fitting regression model for the

scatterplot.

Answers

Answer:C

Step-by-step explanation:

By visual inspection, the best-fitting regression model for the data plot is the linear regression.

What is a regression model?

A regression model determines a relationship between an independent variable and a dependent variable, by providing a function.

Determining the regression model :-

From the graph, we can see that the points appears to be on a straight line such that, as the x values increases, the y values also increases,

This type of model is a linear regression model.

Hence, the best-fitting regression model for the data plot is the linear regression.

Read more about regression models at:

brainly.com/question/17844286

#SPJ7

what is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8

Answers

Answer:

The legs are both of length 4√2

Step-by-step explanation:

Let the length of one of the two equal legs be x.  Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or

2x^2 = 64, or x^2 = 32  =  2(16)

Solving for x, x = 4√2.  The legs are both of length 4√2.

Can someone explain this and help me with the answer?

Answers

Answer:

Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality

Step-by-step explanation:

First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.

Can you put the digits 1 to 11 in the circles so that every line has the same total?

Answers

Put the 1 in the middle, and then put on two opposite circles two numbers that sum to 11:

1, 10

2, 9

3, 8

4, 7

5, 6

Yes, you put the digits 1 to 11 in the circles so that every line has the same total.

What are the digits?

A number is a count or measurement that is really an idea in our minds.

The digits 1 to 11 in the circles so that every line has the same total.

The given digits are as follows;

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.

The sum of the first number and last number is;

1 + 11 = 12

Similarly, the sum of the second number and second last element is;

2 + 10 = 12

The sum of the third number and third last element is;

3 + 9 = 12

The sum of the fourth number and fourth last element is;

4 + 8 = 12

The sum of the fifth number and fifth last element is;

5 + 7 = 12

The sum of the sixth number and sixth last element is;

6 + 6 = 12

The sum of the seventh number and seventh last element is;

7 + 5 = 12

The sum of the eighth number and eighth last element is;

8 + 4 =12

The sum of the ninth number and ninth last element is;

9 + 3 = 12

The sum of the tenth number and tenth last element is;

10 + 2 = 12

The sum of the eleventh number and eleventh last element is;

11 + 1 = 12

Hence, yes you put the digits 1 to 11 in the circles so that every line has the same total.

Learn more about digits here;

https://brainly.com/question/15141960

#SPJ2

Question 1 (1 point)
Identify the slope and y-intercept.
y = -4x - 2
m = -2, b = -4
b
m = 4, b = 2
m = -4. b = 2
m= -4, b= -2​

Answers

Answer:

m = - 4, b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = - 4x - 2 ← is in slope- intercept form

with m = - 4 and b = - 2

The diameter of a basketball is 9.39 inches. Which is closest to the number of square inches of material used in constructing a basketball?

Answers

Answer:

Area, [tex]A=69.21\ \text{inches}^2[/tex]

Step-by-step explanation:

We have,

The diameter of a basketball is 9.39 inches.

It is required to find the number of square inches of material used in constructing a basketball. It means we need to find the area of basketball. It is given by :

[tex]A=\pi r^2[/tex]

r is radius of basketball, r = 4.695 inches

So,

[tex]A=3.14\times (4.695)^2\\\\A=69.21\ \text{inches}^2[/tex]

So, the area of the basketball is [tex]69.21\ \text{inches}^2[/tex].

which one is the largest 20% , 4/15 , 0.21 , 1/4

Answers

Answer:

1/4 is the largest number in the list

Corey brought $54.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as the sketchbook, and the sketchbook cost 3 4 the cost of the paint set. Corey had $2.00 left over after buying these items. What was the cost of each item?

Answers

Answer: The items cost as follows;

(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28

Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.

The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;

x + y + z = 52.50

However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.

Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.

Note however that, if y = 3z/4, then by cross multiplication,

4y = 3z

4y/3 = z

Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation

x + y + z = 52.50

y/6 + y + 4y/3 = 52.5

using a common denominator which is 6, you now have;

(y + 6y + 8y)/6 = 52.5

By cross multiplication, you now have

15y = 52.5*6

15y = 315

Divide both sides of the equation by 15

y = 21

Therefore, if the sketchbook is y, then the sketchbook costs $21.

Also if the brush is x, then the brush costs

x = y/6

x = 21/6

x = 3.50 (The brush costs $3.50)

Also if the sketchbook costs 3/4 of the paint set, then

y = 3z/4

21 = 3z/4

21*4 = 3z

84 = 3z

Divide both sides of the equation by 3

28 = z (The paint set costs $28)

Factor the monomial for 27n^2o

Answers

It must’ve been a typo, but
The answer is
This equation isn’t factorable

I need help with this

Answers

Answer:

Step-by-step explanation:

1/2

20+20+20+20+20+20+20+9893-2839283+93749-93+8366754439=???

Answers

Answer:

=8,364,018,845

Step-by-step explanation:

Mark me brainiiest.

Answer:

8364018845

Step-by-step explanation:

20+20+20+20+20+20+20 = 140

140+20893-2839283+93749-93+8366754439

I bought 45 oz of flour. She used 15.6 oz to make a loaf of bread, 0.71 oz for each muffin. How many muffins were made if you have 18.04 oz left over?

Answers

Answer:

16

Step-by-step explanation:

Total weight of flour =45 ozWeight of flour used for bread =15.6 ozLeftover =18.04 oz

Therefore:

Weight of flour used for muffin =Total weight of flour-(Weight of flour used for bread+Leftover)

=45-(15.6+18.04)

=45-33.64

=11.36 oz

Since each muffin is made with 0.71 oz of flour

Number of muffins made=11.36/0.71

=16

16 muffins were made.

solve: 9^8-x= 27^x-3

Answers

Answer:

x = 4.25

Step-by-step explanation:

First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).

Now, the equation can be written as 9^(8-x) = 9^(3x-9)

Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:

8-x = 3x-9.

8 = 4x - 9

17 = 4x

x = 4.25

If x is Equal to 7, what is 7 divided by 3 and round it up

Answers

Answer:

2.3 or 2

Step-by-step explanation:

1. Solve for x
X - 10 = 15

Answers

x = 25
+10 on both sides
The correct answer is x=25

10. Susan went out and bought 2 packs of toilet paper and 4 containers of Clorox wipes for $46. She told her friend where she found them and her friend went out and bought 1 pack of toilet paper and 3 containers of Clorox wipes for $27. How much did a pack of Clorox wipes cost? *

Answers

Answer:

$9

Step-by-step explanation:

Let's make the price of toilet paper x, and the clorox wipes y.  We can then use the given information to create a system of equations.

Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!

2x+4y=36 (1)

x+3y=27 (2)

2x+6y=54 (3)  (i just mutiplied (2) by 2 so that i could eliminate x)

2y=18 (3)-(1)

y= $9/pack

Go to link for the question thx!!

Answers

Idk what link you are talking about

Which expression is equivalent to -3 1/8 minus 2 1/2

Answers

-25/8 minus 5/2
(You just turn them into improper fractions)

Answer:

-5 5/8

Step-by-step explanation:

A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.

I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.

Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!

What is the order of the numbers form least to greatest?

Answers

Answer:

B < A < C < D

Step-by-step explanation:

We can easily order the numbers by using a shortcut. To do this, you just look at the exponents. The more negative the exponent, the lower the number is. The more positive the exponent is, the greater the number is.

Answer:

The answer is option 2.

Step-by-step explanation:

In a faster way to see this you can just look at the power :

A = -4

B = -6

C = 4

D = 5

B < A

A < C

C < D

So the order is B, A, C and D.

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