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

What is the y-intercept of the graph?

Answers

Answer:

2

Step-by-step explanation:

The y-intercept is when the line intersects the y-axis. In this image, you can see that the line intersects at 2 on the y-axis.

Hope this helps! :)

The bar diagram represents 24 hours in one day and shows a mark at 30%
If you sleep 30% of the day, how many hours do you sleep? Enter your answer in the box
24
Hours slept
Percent
0%
30%
100%
hours
Please help

Answers

Answer:

7.2 hours slept

Step-by-step explanation:

30%>.30

.30*24=7.2 hours

Hope this will help!

7.2 hours slept is your answer. Or 7 hours and 12 minutes.

to get this i did 24 x .3 and got 7.2

For the linear model, y = -67.9x + 679 , the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 5 hours.

cannot be determined
1,018.5 miles
339.5 miles
9.9 miles

Answers

Hey there!

x = 5

“y = -67.9(5) + 679”

-67.9(5) = -339.5

NEW EQUATION: “y = -339.5 + 679”

Solve above ^

Answer: y = 339.5 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

339.5 m

Step-by-step explanation:

What would be the new ordered pair for point Q' given the following rule for the transformation?
(x,y)----}(-x,y)
Q=(-5, 7)​

Answers

Answer:

The new ordered pair for point Q' are: Q' (5, 7)

Step-by-step explanation:

Q = (-5, 7)

The rule of translation is:

(x, y) → (-x,y)

According to this rule, the value of x is multiplied by -1, and the value of y remains the same.

Thus,

P(x, y) → P'(-x,y)

Q (-5, 7) → Q' (-(-5), 7) → Q' (5, 7)

Thus, the new ordered pair for point Q' are: Q' (5, 7)

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Can you figure this out for me ? I’m having issues .

Answers

Answer:

71

you just had to add them

Step-by-step explanation:

Aldo made a shirt using 1/5 meters of yellow fabric and 2/3 meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.

Answers

Answer:

Aldo's shirt was made of 13/15 meters of fabric.

Step-by-step explanation:

We need to add these fractions. However, in order to do so, we need to find the LCM, which in this case, is 15.

1/5 + 2/3 =

3/15 + 10/15 =

13/15

This fraction is also written in simplest form. Therefore, Aldo's shirt was made of 13/15 meters of fabric.

Hope this helps! :D

Annabelle has $600 in a savings account that earns 2% simple interest for 6 years. Caroline has $400 in a savings account that earns 3% simple interest for 6 years. Whose account will have more money in it after the 6 years? How much more money will they have in their account?

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating Amount;

Amount = Principal + Interest

Interest = Principal * Rate * time/100

For Annabelle:

Interest = 600*2*6/100

Interest = 6*2*6

Interest = $72

Amount after 6 years = $600 + $72 = $672

For Caroline:

Interest = 400*3*6/100

Interest = 4*3*6

Interest = $72

Amount after 6years = $400+$72 = $472

Hence Annabelle account will have more in it after 6 years.

Taking the difference in their amount = $672-$472 = $200

Hence Annabelle will have $200 more than Caroline in her account after 6 years

Whats the answer to #1

Answers

Answer:

-8/5 or 1.6

Step-by-step explanation:

if you get the 2 points on the graph and use slope formula you get the answer

In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What are the odds of a yellow marble being selected on the first draw?
A.1:5
B.4:2
C.2:4
D.3:3

20 points
i really need help im way behind and im low on points but i can share my instagram
:D

Answers

Answer:

2:4 thats because together there are 6 marbles in total. 3 red and 1 blue = 4. and 2 yellow. 4:2, however, 4:2 is 4/2 in fraction, so that wont make sense. hat means the answer is 2:4 or 2/4.

A bag contains three green marbles, four blue marbles, and two orange
marbles. If a marble is picked at random, what is the probability that an orange
marble will NOT be picked?

Answers

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

What is the radian measure of an angle equal to 225 degrees????

Answers

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

What is the radian measure of an angle?

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Learn more about the measure of an angle from a radian here:

https://brainly.com/question/8916147

#SPJ2

Solve the Equation:
3x-4=10 what is x

Answers

Answer:

14

3

Step-by-step explanation:

Jean picks peaches during her summer vacation. She gets paid $0.60 for each pound of peaches picked. Jean averages 45 pounds per hour.
a. How much can Jean earn in 16 hours?
b. How many hours would it take for Jean to earn $990?

Answers

A. Jean earn $43.3

B.It takes Jean 36.6

HEELLLPPPP MEEE 100 POINTS!!!

Juan has a collection of 13 dice, 5 of which have eight sides. If Juan randomly rolls 4 dice, what is the probability that exactly 2 of the chosen dice have eight sides? Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

38

Step-by-step explanation:

6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *

Answers

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

If there were 50 children, how many adults would be at the game?

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50  = 24/10

x  = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

A third friend offers you a flat $20 to watch his dog during the same time. Tell whether you would choose this job over either of the other two and explain why.

Answers

Um we need the other options


Eduardo lives in Argentina and travels to Uruguay for a holiday
(a) His flight from Buenos Aires to Montevideo takes 55 minutes.
The plane departs at 1735.
Write down the arrival time.

Answers

Step-by-step explanation:

55 minutes after 1735 is 1830.

Solve correctly and I’ll give brainliest

Answers

The picture isn’t clear

A clothing store is selling T-shirts at 2 for $15. If Michael purchases 8 T-shirts, how much money will he spend?

Answers

Answer:

$60

Step-by-step explanation:

2 T-shirts = $15

Longer version

15/2 = $7.50

1 T- shirt = $7.50

7.50*8 =  $60

Short version

2 T-shirts = $15

bought 8 so 8/2 = 4

4*15= 60

I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS

Answers

Answer:

That is igneous

Step-by-step explanation:

430 divided by 2 ____ remainder____

Answers

Answer:

215.

Step-by-step explanation:

I dotn think there is any remainder so put 0

Answer:

215 NO REMAINDER

Step-by-step explanation:

Determine m∠A, m∠B, and m∠C.

Answers

Answer:

huh? I have no clue sorry

Answer:23

Step-by-step explanation:

Does the graph represent a function ?

Answers

Answer:

Yes, it represents a function

Step-by-step explanation:

Doing the vertical line test, no point goes through the vertical line twice

Yes it does represent a function. Hope this helped good luck

Create a word problem where the answer to the problem is $10.50. Write the equation under.

Answers

Answer:

Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents

Step-by-step explanation:

10 + .50 = 10.50

Factor completely 54x4 + 2x​

Answers

Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x

WHOEVER ANSWERS IT RIGHT WILL GET BRAINST ASAP DUE IN 5 MINUTES

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I checked it an fits right hope this helps!!

Plz help me answer this

Answers

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Substitute in x:                              13(y + 6) - 6y = 22Distribute 13:                                 13y + 78 - 6y = 22Combine like terms:                      7y + 78 = 22Isolate y term:                                7y = -56Isolate y:                                         y = -8

Step 3: Solve for x

Define original equation:                    x = y + 6Substitute in y:                                     x = -8 + 6Add:                                                      x = -2

Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. ​(0,0), ​(16​,4​), ​(4​,6​) b. ​(3​,4​), ​(11​,12​), ​(8​,15​)

Answers

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

A person at a local airport spotted an airplane at an angle of depression of 23° on the tarmac. If the person saw the plane from the airport tower that is 120 ft high, how far away is the plane from the airport tower?

Answers

Answer: 282. 7 feets

Step-by-step explanation:

Height = 120 ft

θ = 23°

To obtain the distance (d) of plane from airport tower :

Tan θ = h / d

Tan 23 = 120 / d

0.4244748 * d = 120

d = 120 / 0.4244748

d = 282.70229

d = 282.7 feets

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