x + 3y = 3
x - 5y = -29
solve by elimination

Answers

Answer 1

Answer:

x=-9

y=4

Step-by-step explanation:

x + 3y = 3

x - 5y = -29

Multiply the second equation by -1

-x + 5y = 29

Add the two equations together to eliminate x

x + 3y = 3

-x + 5y = 29

---------------------

0x +8y = 32

Divide each side by 8

8y/8 = 32/8

y = 4

Now solve for x

x+3y =3

x+3(4) = 3

x+12 = 3

Subtract 12 from each side

x+12-12 = 3-12

x = -9


Related Questions

In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework

Answers

Answer:

2/9

Step-by-step explanation:

Find area of the circle. Use 3.14 as (pie symbol) the diameter is 104. Please help will mark brainliest!!

Answers

Answer:

8490.56 yd^2

Step-by-step explanation:

find radius by dividing 104 by 2

we get 52 yd

now the area of circle is [tex]\pi r^{2}[/tex]

we use 3.14 for pi

so 3.14 times 52*52

3.14 times 2704

8490.56

8490.56 hope this helps

Given the figure below, find the values of x and z

Answers

Answer:

z = 60 and x = 4.25 or 17/4

Step-by-step explanation:

Z = 60°

8x + 86 = 180-60

8x + 86 = 120

8x = 120 - 86

8x = 34

x = 4.25 or 17/4

Which of the following could be given lengths of sides of a triangle? Check all that apply.

Answers

When given three side lengths:

      --> the three sides lengths that can form a triangle are the ones where

      the sum of two side lengths of a triangle is always greater than the

      third side

Thus the choice that fits the requirement is choice (C).

Hope that helps!

How to find the area of composite figure steps

Answers

Answer: To find the area of a composite figure or other irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

Step-by-step explanation:

The regular octagon shown is enlarged so that its side are 3 times
as large. What affect does this have on the perimeter?

Answers

Answer:

The perimeter is 2 times greater.

Step-by-step explanation:

I CANT FIGURE THIS OUT I NEED HELP
Solve and graph the inequality:
[tex]-1/2x + 8\geq 6[/tex]

Answers

Answer:

[tex]x\leq 4[/tex]

Step-by-step explanation:

Given:

[tex]-\frac{1}{2}x+8\ge 6[/tex]

Solve:

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]-\frac{1}{2}x+8-8\ge \:6-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-\frac{1}{2}x\ge \:-2[/tex]

[tex]Multiply\:both\:sides\:by\:-1[/tex]

[tex]\left(-\frac{1}{2}x\right)\left(-1\right)\le \left(-2\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{1}{2}x\le \:2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]2\cdot \frac{1}{2}x\le \:2\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x\leq 4[/tex]

[tex]\mathrm{Therefore,}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

~lenvy~

I need help please. Find the volume of the composite solid.

Answers

Answer: 150 cubic feet

Step-by-step explanation:

Formula: area of base x height (length x width x height)

Volume of small rectangle: 5 x 2 x 3 = 30

Volume of large rectangle: 10 x 6 x 2 = 120

Add them together: 120 + 30 = 150

AABC has vertices A(-3,-4), B(1,5), and C(4.1). AABC is translated so that B'is located at point (-3, 2). State the
coordinates of A' and C', where AA'B'C' is the translation of AABC.
A. A'(-7, -7), C'(0, -2)
B. A-6, -8), C'(1, -3)
C. A'(-4,-3), C'(1,-4)
D. A'(1,-1), C'(8,4)

Answers

Answer:

Step 1: Identify the coordinates of each of the vertices of the triangle.

Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.

Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.

Step-by-step explanation:

Triangle: A triangle is a three-sided geometric figure made by connecting each pair of points in a set of three with straight lines. The points that define a triangle are known as vertices

Can someone please help me? I really need this grade and I’m very lost in all of these questions. Thank you.

Answers

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

what is equivalent to 2^5

Answers

Answer:

Step-by-step explanation:

2⁵ = 2*2*2*2*2

     = 32

The radius of a circle is 2 inches. What is the length of a 180

Answers

Answer:

4pi or 12.6

Step-by-step explanation:

I hope this helps

Zeema gets paid £13,440 per annum.
Assuming she gets paid in equal monthly payments, how much does she earn per month?

Answers

Answer:

2130 per month

Step-by-step explanation:

25,560 / 12

2130

Question
Which of the following is NOT in scientific notation?
A. 9.308 x 105
B. 2.758 x 10-6
C. 1.043 x 108
D. 0.316 x 10-4

Answers

Answer:

D

Step-by-step explanation:

this is not standard form

Answer:

D

Step-by-step explanation:

The first number should be equal to or greater than one but less than 10

I need help please help me

Answers

Method 1 :

replace x and y by their value 1 and 3

3 = 4(1) - 1 = 4-1 = 3

2(1) + 3 = 2 + 3 = 5

correct

Method 2 :

y = 4x - 1

2x + y = 5

y = 4x - 1

y = -2x + 5

y - y = 4x - 1 - ( -2x + 5 )

0 = 4x - 1 + 2x - 5

6x - 6 = 0

6x = 6

x = 6/6 = 1

y = 4x - 1

y = 4(1) - 1

y = 3

correct

Answer:

Yes the points (1,3) is the solution for the systems of equations that are shown

Step-by-step explanation:

y = 4x - 1

plug in the numbers

3 = 4(1) - 1

3 = 4 - 1

3 = 3 so this is correct

2x + y = 5

plug in the numbers

2(1) + 3 = 5

2 + 3 = 5

5 = 5

so that means the points are also a solution for BOTH

Theresa entered a photo contest. Each entry was judged by three judges in four different categories. Each category was a percent of the overall score: Originality was 20%, technique was 35%, composition was 20%, and impact was 25%. Entries could earn up to 50 points in each category.

Theresa's scores are shown in the table.

Judge Originality Technique Composition Impact
A 40 45 30 45
B 45 45 40 40
C 35 40 35 40
This equation can be used to find her weighted score for each judge.

weighted score = (weight⋅originality)+(weight⋅technique)+(weight⋅composition)+(weight⋅impact)

What was Theresa's weighted score from each judge?

Enter your answers in the boxes.

Theresa's weighted score for Judge A was
.

Theresa's weighted score for Judge B was
.

Theresa's weighted score for Judge C was
.

Question 2
What is Theresa's overall average score from the three judges?

Enter your answer in the box. Round your answer to the nearest tenth.

points

Answers

Step-by-step explanation:

Judge A: 41  (0.20 x 40)+(0.35 x 45)+(0.20 x 30)+(0.25 x 45)

Judge B: 42.75 (0.20 x 45)+(0.35 x 45)+(0.20 x 40)+(0.25 x 40)

Judge C: 38 (0.20 x 35)+(0.35 x 40)+(0.20 x 35)+(0.25 x 40)

Total score: 40.6


Explain how many solutions this system of equations has.

Answers

Answer:

No solution

Step-by-step explanation:

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {y = 3x - 4}} \right. \\\\[/tex]

Multiply the second equation by 2 to make the "x" coordinates the same.

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2(y = 3x - 4)}} \right. \\\\[/tex]

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2y = 6x - 8}} \right. \\\\[/tex]

Subtract 6x from the first equation with the second equation

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {-2y = -6x + 8}} \right. \\\\[/tex]

[tex]\rightarrow 0y = 0x + 12[/tex]

Simplify the R.H.S

[tex]\rightarrow 0 \neq 12[/tex]

This system of equation has no solution.

Graph:

Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways.

Answers

The first group of three wolves can be formed in 28 ways.

We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.

What is the meaning of combination?

A combination is a combination of n things taken k at a time without repetition.

We need to choose 1 male wolf out of 1 wolf male. So  we can choose one wolf as

[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]

We can choose 1 male wolf in only 1 way.

Since the female wolfs are identical that means order doesn't matter, so we will use combinations.

We can choose 2 female wolves out of 8 as

[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]

Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.

We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.

Number of ways farming first group of three wolves

1(28)=28

Therefore, the first group of three wolves can be formed in 28 ways

To learn more about the combination visit:

https://brainly.com/question/25821700

PLEASE HELP ASAP ONLY 2 QUESTIONS

Answers

Answer:

1. D, 2. B

Step-by-step explanation:

1. D. 1.15b


2. -4(x + 2) - 1/2(2x - 6)
(-4x -8) - (x - 3)
B. - 5x - 5

Hope this helps :)

(25 POINTS!!!!) HELP

Answers

Answer:

Step-by-step explanation:

Kyle goes to the movies with his friends. Each person buys a ticket and two equally priced snacks at the snack bar. Let ticket price be represented by t and the price of the snacks be represented by s. Kyle says the total cost can be represented by the expression 5(t + 2s). Which explanation represents Kyle’s thinking about how to find the total price?

A.
Add the price for each item bought by each person.

B .
Add the total cost of the tickets with the total cost of the snacks for all the people that went to the movie.

C .
Multiply the ticket total by the snack total.

D .
Multiply the total spent on tickets plus snacks by the number of people who went to the movie.

Answers

Answer:

The correct answer is actually D

Step-by-step explanation:

i am 100% correct because i just answered this

See

one ticket means it's only 1t or t

Two equally packed snacks means

2×s2s

So if no of friends be 5

Then total is 5(t+2s)

Option D

Solve these equation

4(3-x)=(1-2x)​

Answers

To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.

[tex]:\implies\tt{4(3 - x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{(12 - 4x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{12 - 4x = 1 - 2x}[/tex]

Combining like terms, we get,

[tex]:\implies\tt{12 - 1 = - 2x + 4x}[/tex]

[tex]:\implies\tt{11 = 2x}[/tex]

[tex]:\implies\tt{2x = 11}[/tex]

[tex]:\implies\tt{x = \frac{11}{2} }[/tex]

[tex]:\implies\tt{x = 5.5}[/tex]

The value of x is 5.5

Hey there!

4(3 - x) = (1 - 2x)

4(3) + 4(-x) = 1 - 2x

12 - 4x = 1 - 2x

-4x + 12 = -2x + 1

ADD 2x to BOTH SIDES

-4x + 12 + 2x = -2x + 1 + 2x

SIMPLIFY IT!

-2x + 12 = 1

SUBTRACT 12 to BOTH SIDES

-2x + 12 - 12 = 1 - 12

SIMPLIFY IT!
-2x = -11

DIVIDE -2 to BOTH SIDES

-2x/-2 = -11/-2

SIMPLIFY IT!
x = 11/2


Therefore, your answer should be:

x = 11/2


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

I kinda need help : /

Answers

Answer:

  24 square units

Step-by-step explanation:

There are a couple of ways you can figure the area of the frame:

subtract the inner area from the outer areamultiply the width of the frame by the length of its centerline

__

Subtract

The dimensions of the outer rectangle are twice the frame width plus the dimensions of the inner rectangle. That makes them 8 wide by 6 high. Then the difference of areas is ...

  A = (8)(6) -(6)(4) = 48 -24 = 24 . . . . square units frame area

__

Width by Length

The centerline of the frame is a rectangle with 1 unit greater length and width than the inner rectangle. It is 7 units by 5 units, so will have a perimeter of ...

  P = 2(L+W) = 2(7+5) = 24 . . . . units

Then the area of the frame is this length multiplied by the width of the frame:

  A = (24)(1) = 24 . . . . square units frame area

If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

A. 18, 22, 24
B. 26, 30, 36
C. 26, 42, 68
D. 26, 42, 66

Answers

Answer:

10 + 16 = 26

16 + 26 = 42

26 + 42 = 68

(C) the next three terms are 26, 42, 68

The normal price of a television is £1200
It is reduced to £970
Work out the percentage reduction.
Give your answer to 1 decimal place

Answers

Answer:80.8%

Step-by-step explanation:

£1200=100%

£970=

£970*100%/£1200=80.8333333

80.8%

Answer:

19.2%.

Step-by-step explanation:

Reduction = 1200-970 = £230,

% reduction = 230*100/ 1200

= 19,2%

Please please please help me really quick i just need help please!

Answers

Answer:

54.98 cm squared

To find the area of the shaded region, we first need to know the area of the entire figure and the area of the circle.

To find the area of the circle, we use the formula pi times r^2

r is the radius, which can be found by multiplying the diameter by 1/2

1/2 x 16 = 8

Now we have pi times 8^2

8^2 = 64

Now we have pi times 64

Let's say that pi = 3.141 in this situation. We could be more exact and say 3.14159265... but that is probably not what your teacher wants.

64 x 3.141 = 201.024

So, we have the area of the circle.

Now we need the area of the entire figure.

Well, that's just length times width.

16 x 16 = 256

So, to find the area of the shaded region, we just have to find the difference between 256 and 201.024

256 - 201.024 = 54.976

We can round that to 54.98, or if you want, to 55.

Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5. 1% compounded quarterly. Round your answer to the nearest cent. A. $1,125. 69 c. $1,518. 85 b. $1,127. 86 d. $1,508. 31.

Answers

The quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

Principle P= $16,231

Rate of interest r= 5.1% compounded quarterly

Tenure n= 4 year =16 quarters

What is the formula for quarterly payment?

The formula for quarterly payment is given as:

Quarterly payment = [tex]\frac{P*r/100(1+r/100)^n}{(1+r/100)^n-1}[/tex]

Where P=principle

r =quarterly rate of interest

n=tenure

Quarterly payment =[tex]\frac{16231*(5.1/100)(1+5.1/100)^16}{(1+5.1/100)^16-1}[/tex]

Quarterly payment =$1508.31

Therefore, the quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

To get more about quarterly payments visit:

https://brainly.com/question/25792915

Lin is trying to earn money to go to knott's. She already has $15 saved up, and her dad is paying her $3 per chore she does. She needs at least $52 to get into the park.

Answers

Answer:

Lin needs to do 16 more chores if she wants to be able to pay the park fee

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

thankyou for the help

Answers

Answer:

d because a straight line has the angle of 180

What is the measure of < L

Answers

Answer:

C.

Step-by-step explanation:

Because of the K And j = K and L.Those are equal of the length.

And also, I believed the angel of K is 130 degrees ...

I hope it can help you a lots...Thanks.

Answer:

C

Step-by-step explanation:

typical property of isoceles triangle

properties:

1.- Base angles are equal

2. has two sides equal

☆the two above are key to identifying an isoceles triangle

the one above satisfies no.2

brainliest please

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