Answers
Answer:
s = 1
t = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-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 + 15Step 3: Redefine Systems
45s = -3t + 15
4s = 3t + 34
Step 4: Solve for s
Elimination
Combine equations: 49s = 49Divide 49 on both sides: s = 1Step 5: Solve for t
Define equation: 15s + t = 5Substitute in s: 15(1) + t = 5Multiply: 15 + t = 5Isolate t: t = -10Answer:
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
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)
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
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:
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
B.It takes Jean 36.6
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
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
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! :)
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:
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
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
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
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:
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
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
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
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.
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 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
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
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)
Can you figure this out for me ? I’m having issues .
Answers
Answer:
71
you just had to add them
Step-by-step explanation:
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!
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
Plz help me answer this
Answers
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-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 = -8Step 3: Solve for x
Define original equation: x = y + 6Substitute in y: x = -8 + 6Add: x = -2The 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!
to get this i did 24 x .3 and got 7.2
Solve correctly and I’ll give brainliest
Answers
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!!
Solve the Equation:
3x-4=10 what is x
Answers
Answer:
14
3
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: