5x−y=10 3x+y=14 please solve the system of equations and show your work
Answer:
x = 3, y = 5
or (3,5) in coordination point form.
Step-by-step explanation:
We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.
[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]
Convert both equations to slope-intercept form.
[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]
Then combine both equations
[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]
Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10
[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]
Hope this helps!
Using the LSRL model, estimate the volume of a gas 2.5, 4.5, and 6.5 atmospheres
Answer:
Brett is working in the chemistry lab trying to determine if he can predict the volume of three different gases (nitrogen, oxygen, and carbon dioxide) based upon the pressure applied to them. He kept all other characteristics of the gases constant. Brett performed the following analysis:
9-60 Graph
9-60 Residuals
Discuss the association, including slope and -squared.
Hint (a):
What is the residual with the greatest magnitude and what point does it belong to?
Hint (b):
Answer (b):
Using the LSRL model, estimate the volume of a gas at , and atmospheres. Use an appropriate precision.
Hint (c):
Answer (c):
How well would this linear model work in predicting more extreme pressures? Support your answer.
Hint (d):
Explicit formula for
1,5,3,6,12
sorry I needed the points!
What is 18.5% of 500?
Answer:
92.5
Step-by-step explanation:
18.5% = 0.185
0.185 x 500 = 92.5
Hope that helps!
Answer: 92 1/2 or 92.5
Step-by-step explanation:
how to solve?
Put it into a percent proportion :D!
Percent proportion is is/of=%/100 or a/w=p/100
The a stands for "part"
and the w stands for "whole"
p stands for "percent"
Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.
Since they did NOT give you what the "is" is, you put the variable "a"
a/ =
Next,
Since it said "of"
You put of underneath the unknown number "is" (a)
a/500=
Now put in the percent
a/500=18.5/100
Now cross multiply!
Then you should get 92.5!
HOPE THIS HELPS :DDD
Patrick randomly selects a marble from a bag , records the color and then returns the marble to the bag . After 40 trials , he has recorded 14 red marbles 12 blue marbles yellow marbles and 4 green marbles Which of the following experimental probabilities is correct based on his record ?
Answer: A
Step-by-step explanation:
✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find their respective ages ✔
Answer:
Priya's age = 15
Amirah's age = 19
Shirley's age = 13
Step-by-step explanation:
Let x be the age of Priya.
According to the question,
Amirah's age = x + 4
Shirley's age = x - 2
Their sum is 47.
So,
x + 4 + x + x - 2 = 47
3x + 2 = 47
3x = 47 - 2
3x = 45
x = 45/3
x = 15
So,
Priya's age = 15
Amirah's age = 15 + 4 = 19
Shirley's age = 15 - 2 = 13
Answer:
Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
Step-by-step explanation:
let Amirah =x
let Priya = y
let Shirley = s
so we have
x= 4+y
s=y-2
x+y+s =47
we have x= 4+y
4+y+y+s=47
4+2y+s=47
2y+s=43
s-y=-2 (MULTIPLY BY NEGATIVE 1)
y-s =2
2y+s= 43
by solving simultaneously we get
3y= 45
y=15
x= 4+y
x=19
s=y-2
s= 13
so Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
What is the explicit formula for the geometric sequence 15, 3, 0.6,
0.12, ...?
Answer:
A
Step-by-step explanation:
first num is 15
ratio is 0.2
formula is a.r^n-1
Which word could describe the relationship of the lines
containing the points (1, 6) and (1, 3)?
A) coincident
B) parallel
C) perpendicular
D all of the above
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?
Answer:
0.7
Step-by-step explanation:
2,3,4,6,8,9,10 are the possible choices.
∴P(even no. or multiple of 3)
= 7/10
Answer:
7/10 or 70%
Step-by-step explanation:
1 no
2 yes
3 yes
4 yes
5 no
6 yes
7 no
8 yes
9 yes
10 yes
7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them
The difference of b and 4 is at most 15.
Answer:
b - 4 ≤ 15
b ≤ 19
Step-by-step explanation:
The statement "at most" typically means no more than, so the inequality sign would have to be "less than or equal to"
To solve for be all you would do is add 4 to both sides to get b by itself.
b - 4 ≤ 15
b - 4 + 4 ≤ 15 + 4
(-4 + 4 cancels itself out)
(15 + 4 = 19)
b ≤ 19
Austin buys $10 worth of food for his dog each week. There are 52 weeks in a year.
How much is Austin paying for food for his dog in a year?
Which proportion could be used to solve this problem?
Answer:
b i think
Step-by-step explanation:
Pls help ASAP I will give brainleist answer
Answer:
6 3/10 pounds
Step-by-step explanation:
What are the measures of ∠1 and ∠2? PLEASE ANSWER
m∠1 = 58.2°, m∠2 = 75.5°
m∠1 = 67.4°, m∠2 = 104.5°
m∠1 = 75.5°, m∠2 = 67.4°
m∠1 = 104.5°, m∠2 = 58.2°
9514 1404 393
Answer:
(b) m∠1 = 67.4°, m∠2 = 104.5°
Step-by-step explanation:
It is easiest to find angle 2 first, then make your answer selection based on that.
The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...
angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice
__
Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:
104.5° = angle 1 + 37.1°
angle 1 = 104.5° -37.1° = 67.4°
Answer:
C!
Step-by-step explanation:
m∠1 = 75.5°, m∠2 = 67.4°
work out the size of angle x
Answer:
∠x = 117°
Step-by-step explanation:
supplement of ∠101° = 79°
all triangle interior angles add up to 180°
180° - 79° - 38° = 63°
the supplementary angle to 63° is 117°
Please help!!!!!!!!!!!
Answer:
Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm
Step-by-step explanation:
I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.
Answer:
1. I think 30ft 2. I think 4m 3.I think 10mm
If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?
(3, -5)
(3, 5)
(-5, 3)
(5, -3)
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
How to determine which of the following must be an ordered pair of the inverse of f(x)To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.
Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.
Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:
x = f(y)
Substituting f(3) = -5:
3 = f(y)
Therefore, the inverse function of f(x) is y = 3.
Now, let's check which of the given ordered pairs satisfies the inverse function:
- For (3, -5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.
- For (3, 5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.
- For (-5, 3):
When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.
- For (5, -3):
When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
Learn more about inverse function at https://brainly.com/question/3831584
#SPJ2
A certain television is advertised as a 25-inch TV (the diagonal length). If the width of
the TV is 24 inches, how many inches tall is the TV?
Answer:
The TV is 7 inches tall.
Step-by-step explanation:
Use the pythagorean theorem.
[tex]a^2 + b^2 = c^2\\24^2 + b^2 = 25^2\\576 + b^2 = 625\\b^2 = 49\\b = 7[/tex]
Answer:
Step-by-step explanation:
I think 600 inches
That is multiplying the 25 by the 24 inches length
what is the best way to describe | -2| ?
Answer:
2
Step-by-step explanation:
PLEASE HELP DUE IN 3 minutes
Answer: 15 swimmer younger than 30 years old
Step-by-step explanation:
4. An equilateral triangle has a perimeter of 60 cm. Find the exact
altitude of the triangle.
Step-by-step explanation:
GIVEN:-The Perimeter of Equilateral triangle = 60cm
UNDERSTANDING THE CONCEPT:-According to the question,
To find the height of the triangle,
Perimeter of Equilateral triangle = Area of Equilateral triangle.
FORMULA USED:-[tex]60 = \frac{ \sqrt{3} }{4} a {}^{2} \\ [/tex]
REQUIRED ANSWER:-[tex]60 \times 4 = \sqrt{3a {}^{2} } [/tex]
[tex]a {}^{2} = 240 \sqrt{3} \\ [/tex]
[tex]a = 120 \sqrt{3} cm[/tex]
SO, The Exact height of the triangle is 120√3cm.Find the area of the rectangle shown. 0.3 in. 0.6 in.
Answer:
The answer is 0.18
Step-by-step explanation:
All you have to do is multipy length x width
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answer:
452.39
Step-by-step explanation:
Will give brainliest
a. 336 cubic centimeters
b. 48 cubic centimeters
c. 248 cubic centimeters
d. 168 cubic centimeters
Answer:
A.336 cubic centimeter
Step-by-step explanation:
6cm×8cm×7cm=336
Branliest to correct answer please explain how you got your answer :)
Answer: 25%
Step-by-step explanation:
Let's take our given numbers
20% you win both checkers and chess against your friend
30% you win against your friend in chess
Now we take both probability's 20% and 30%
We are know working with a probability out of 200%
Let's add 20% and 30%
20%+30%=50%
Now 50% of 200% is
25%
1 Arrange the given numbers in ascending order
-25, 30, 16,-19,-1,0
Answer:
-25,-19,-1,0,16,30
Step-by-step explanation:
as you go to the left side of a number line the number get smaller and as you go to the right side of a number line the numbers get bigger (larger).
Hope I got the right answer!
If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change
Answer:
The temperature went up by 29 degrees.
Step-by-step explanation:
Since -24 is negative,
Add 5 to 24 = 29.
2 questions
when can you combine like terms?
when can you NOT combine like terms?
( do not put the definiton of like terms i only need these questions answered)
Answer:
You can combine like terms when they have the same variable, same category, or same coefficient. You CANNOT combine like terms when they have none of the attributes listed above. For example, you can combine 7x and 20x, just like you can combine 3 and 4, but you can't combine 3x & 5(x^2), or 9x and 73.
What is the mode of the set of numbers below
25, 14, 33, 17, 14, 8
A. 14
B. 16
C. 17
D. 19
A politician is running for a state representative position. She wants to know what her chances of winning are.
Which method is MOST LIKELY to give a random sample of voters?
A Survey people in several different cities throughout the state
B Survey people who volunteer at political events
C Survey college students at a state college
D Survey people who ride public transportation
Answer:Yeet
Step-by-step explanation:
Please need help thank
add all of it
Step-by-step explanation:
toghthet and you will get ur answer