Solve the given system using elimination.

Solve The Given System Using Elimination.

Answers

Answer 1

Answer:

s = 1

t = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

15s + t = 5

4s = 3t + 34

Step 2: Rewrite

15s + t = 5

Subtract t on both sides:                    15s = -t + 5Multiply both sides by 3:                    45s = -3t + 15

Step 3: Redefine Systems

45s = -3t + 15

4s = 3t + 34

Step 4: Solve for s

Elimination

Combine equations:                    49s = 49Divide 49 on both sides:             s = 1

Step 5: Solve for t

Define equation:                     15s + t = 5Substitute in s:                         15(1) + t = 5Multiply:                                   15 + t = 5Isolate t:                                   t = -10
Answer 2

Answer:

Explanation is below

Step-by-step explanation:

Here ya go

Step 1

15s+t=5,4s=3t+34  Question

Step 2

4s=3t+34  Substitute  -15s+5

4s=3(-15s+5)+34

s=1

Step 3

t=-15s+5  Substitute 1 for s

t=(-15)(1)+5

t=-10

answer

s=1

t=-10


Related Questions

A teacher has 600 counters. He keeps 96 counters at his desk and gives the rest to 3 groups of students. The first group of students gets twice as many counters as the second group of students. The third group of students gets four times as many counters as the second group. How many counters did the second group get?

Answers

Answer:

o

Step-by-step explanation:

o

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

look at graph

What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?

Answers

Answer:

(- 1, - 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(1, 8 ) → (- 1, - 8 )

Solve the proportion:

Answers

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

cross multiply

9*10=90

90/6=15

Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?

Answers

divide 9.75 by 15 equals sixty ixty five cent's

0.65 cents will be the cost of each party hat.

PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!

Answers

dark blue is the answer

(3,1) is the answer

A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x

Answers

Answer:

Option (4)

Step-by-step explanation:

Area of a rectangle = Length × width

If the dimensions of the given rectangle is doubled,

Area of the new rectangle = 2(Length) × 2(width)

                                            = 4(Length × width)

                                            = 4(x)(x - 2)

                                            = 4[x² - 2x]

                                            = 4x² - 8x

Therefore, Option (4) will be the correct option.

Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?

Answers

Answer:

Distance = 21.0049 inches

Step-by-step explanation:

Given the following data;

Speed = 3.395 inches per minute.

Time = 6.187 minutes

To find the distance;

Distance = speed * time

Substituting into the equation, we have;

Distance = 3.395 * 6.187

Distance = 21.0049

Find the width of the Brady river.

Answers

Answer:I think its 5miles

Step-by-step explanation:

hope this helps!

helpppppp me plssss
uh

Answers

Answer:

Step-by-step explanation:

-n+1

Step-by-step explanation:

(n+2)-(2n+1)

=n+2-2n-1

=n-2n+2-1

=-n+1

Please explain how you answered it along with your answer - thanks

Answers

Answer:

B

Step-by-step explanation:

Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6

Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11

Then you find the intersection so the answer is B

all quadrilaterals are polygons true or false

Answers

Answer:

True

Step-by-step explanation: because they have 4 sides

All quadrilaterals are polygons because they are 2-dimensional closed shapes made up of interconnected straight lines, with four sides and angles.

Hence the given statement is true.

Sincw we know that,

A polygon is defined as a 2-dimensional closed shape made up of straight lines that are interconnected with each other at their endpoints. A Quadrilateral is a polyhedron that consists of four straight sides or edges.

The term quadrilateral is derived from two Latin words "quadri" meaning four and "latus" meaning sides.

It is important to note that not all polygons are quadrilaterals, but all quadrilaterals are indeed polygons.

Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

These shapes share certain properties such as having four sides and angles, with the sum of their interior angles adding up to 360 degrees.

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Write the equation of the line in slope-intercept form and general form.

(4, 2) (-3,9)

Answers

Answer:

y = -7x + 30

Step-by-step explanation:

the bottom sides of two similar triangles are_______ sides​

Answers

Answer: Proportional

Step-by-step explanation: When to corresponding sides of different triangles are alike, they are considered to be proportional.

Given the arithmetic sequence below, write the general formula in simplified terms and
find the 110th term.
-3,2, 7, 12...

Answers

Answer:

542

Step-by-step explanation:

-3, 2, 7, 12

-3 + x = 2 x = 5

2 + x = 7 x = 5

7 + x = 12 x = 5

If you want to find the 3rd term in the sequence and you start with the first number, then you do this:

-3 + (2 * 5) = -3 + (10) = 7

The same goes for the 110th term:

-3 + (109 * 5) = -3 + (545) = 542

The formula to find the nth term is:

f(n) = n(0) + (n-1) * 5

Suppose n(0) = -3 then

f(110) = -3 + {(110-1) * 5}

f(110) = -3 + {(109) * 5}

f(110) = -3 + (545) = 542

You can simplyfy f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (5n-5)

f(n) = n(0) + 5n - 5

f(110) = -3 + (5 * 110) - 5

f(110) = -3 -5 + (550)

f(110) = - 8 + 550

f(110) = 542

cual es el nombre de la cantidad que no es constante ​

Answers

Answer:

what is the name of the amount that is not constant

Step-by-step explanation:

whats -33 + -20 , show how you can describe it.”

Answers

Step-by-step explanation:

-33 + -20 is -53. and I don't how

The shoes were $175. They are now 10% off. How much are they now?

Answers

Sale Price = $157.5 (answer). This means the cost of the item to you is $157.5. You will pay $157.5 for a item with original price of $175 when discounted 10%. In this example, if you buy an item at $175 with 10% discount, you will pay 175 - 17.5 = 157.50 dollars.

Hope this helps!

what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10

Answers

Answer:

2 ( 3m -10) (3m+10)

Step-by-step explanation:

18m^2-200

Factor out 2

2 ( 9m^2 -100)

We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)

2 ( ( 3m)^2 - 10^2)

2 ( 3m -10) (3m+10)

please help me, i don’t know how to do this:)

Answers

x=12, y=[tex]6\sqrt{2}[/tex]

This triangle is a special right triangle, a 45-45-90 triangle. In this format, the the hypotenuse will be [tex]x\sqrt{2}[/tex], while the side lengths would be x. With this in mind we can already figure out y is [tex]6\sqrt{2}[/tex]. The hypotenuse would be [tex](6\sqrt{2} )(\sqrt{2} )=12[/tex]

What’s the domain and range of a horizontal line?

What’s the domain and range of a vertical line?

Answers

Horizontal line would be y=1 (1 would change with whatever point the line goes through), vertical would be all real numbers which looks like a fancy R.

The horizontal line has infinite domains but a range that has only one value.

The vertical line has a domain is the -intercept, and its range is "all real numbers."

Given that,

The horizontal and vertical lines.

Since we know that,

Linear functions always have infinite domains and ranges.

The exception is when the graph is a horizontal line.

This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.

And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;

Hence its domain is the -intercept, and its range is "all real numbers."

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Graph the line with the equation y = -5x + 2.

Answers

This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.

See the attached image for the actual graph.

If triangle JKL~ Triangle MKN, find the value of x

Answers

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values

[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4

What is similarity of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One right angle triangle, ΔJKL

one segment MN which is intersecting sides KJ & KL

ΔJKL has one similar triangle inside, which is ΔMKN

Triangle ΔJKL and ΔMKN are similar,

So, we can say ΔJKL ≈ ΔMKN

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, KN/MN = KL/JL

⇒ (X + 1)/12 = (3X -2)/32

⇒ 32X + 32 = 36X - 24

⇒ 32 + 24 = 36X - 32X

⇒ 56 = 14X

⇒ X = 4

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Find the slope of this line. *
(5 puntos)
-1
1
3
5
y
-2
0
2
4

Answers

Answer:

1

Step-by-step explanation:

Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1

i need help !! asap please !!!

Answers

They should all equal 62°
a=62°
B=62°
C=62°
D=62°

Help is...appreciated.

Answers

just divide 3.32 by 16 and then multiply that by 100. that’s get you the percent

Answer:

53%

Step-by-step explanation:

what is the (gcf) of 18 and 72?

Answers

Answer:

18

Step-by-step explanation:

The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).

Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.

18 = 2 * 9 = 2 * 3 * 3  ⇒  notice that while 9 isn't a prime number, 2 and 3 are

72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3  ⇒  again, 2 and 3 are primes

In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.

Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.

18 because 72 can be divided by 18

What is the difference of the fractions? Use the number line to help find the answer. 1 3 5 4 -1 ok -12 -10 8 20 20 000 0 10 12 14 16 18 20 O 19 20 о O 11 20 O 20 19 20​

Answers

Answer: -11/20

Step-by-step explanation:

1/5-3/4= 4/20-15/20= -11/20

Answer:

The answer is -11/20 aka b

Step-by-step explanation:

ASAP help me with this question

Answers

the equation of the line is y = 3x - 5

Answer:

WOOF WOOF

Step-by-step explanation:

i love getting extra points :)

Which equation represents a linear function?

equation 1: y=2x^2+1
equation 2: y=8x+1
equation 3:y=5x^3-1
equation 4: y^2=4x-1

a. equation 1
b. equation 2
c. equation 3
d. equation 4

I need an answer by today ASAP! please! ​

Answers

Answer:

Equation 2

Step-by-step explanation:

Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.

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