The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
Solve the following system:
{y = 4 - 3 x | (equation 1)
x + 2 y = 8 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
x + 2 y = 8 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + y = 4 | (equation 1)
0 x+(5 y)/3 = 20/3 | (equation 2)
Multiply equation 2 by 3/5:
{3 x + y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 0 , y = 4
Hence, The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ7
Complete question:
How many solutions does this linear system have?
y=-3x+4
x + 2y = 8
O
O
O
O
one solution: (8,0)
one solution: (0,8)
no solution
infinite number of solutions
Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?
Answer:
3 7/10 miles
Step-by-step explanation:
divide miles by hours
11/5 ÷ 7/12 = 11/5 · 12/7 = 132/35 or 3.7 mph
Suppose you roll a special 24-sided die. What is the probability that the number is a 1 or a 2
On the roll a special "24-sided" die, the probability that the number is a "1" or a "2" is 1/12.
The probability of rolling a "1" or "2" on a 24-sided die is the sum of the probabilities of rolling a 1 and rolling a 2, because the events are mutually exclusive.
Since each face of the 24 sided-die is equally likely to come up, the probability of rolling any particular-face is 1/24.
So, the probability of rolling a "1" is 1/24, and the probability of rolling a "2" is also 1/24.
The probability of rolling either a 1 or a 2 is the sum of these probabilities:
⇒ P(rolling a 1 or a 2) = P(rolling a 1) + P(rolling a 2),
⇒ 1/24 + 1/24,
⇒ 2/24,
⇒ 1/12.
Therefore, the required probability is 1/12.
Learn more about Probability here
https://brainly.com/question/22502532
#SPJ1
Hello can you tell me what the answer of this How many subets dose the set a have a= ( a,b,c,d)
Answer:
16 subsets
Step-by-step explanation:
To know the number of subsets that the set have, we will have to find the power of the set.
Given the set a = ( a,b,c,d)
P(a) = 2^n where;
n is the total number of element in the set
n = 4
p(a) = 2^4
P(a) = 16
Hence the set has 16 subsets
A sporting goods store sold 30% of the baseball bats in stock. If they had 420 bats in stock, how many did they sell?
Answer:they sold 126 bats
Step-by-step explanation:
30/100= 3/10
3/10x420=3x42=126
Determine the x- and y-intercepts of the graph of x−4y=8.
Then plot the intercepts to graph the equation.
Answer:
y-intercept = -2
x-intercept = 8
Step-by-step explanation:
[tex]x - 4y = 8\\x = 0 => y = -2\\y=0 => x = 8[/tex]
the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were waiting inside how many were outside
Answer:
15 customers were outside
Step-by-step explanation:
Represent customers inside with x and customers outside with y.
So, we have:
[tex]x = \frac{1}{3}y - 2[/tex] --- First Statement
[tex]x = 3[/tex] --- Second Statement
Required
Find y
Substitute 3 for x in [tex]x = \frac{1}{3}y - 2[/tex]
[tex]3 = \frac{1}{3}y - 2[/tex]
Add 2 to both sides
[tex]2 + 3 = \frac{1}{3}y - 2 + 2[/tex]
[tex]2 + 3 = \frac{1}{3}y[/tex]
[tex]5= \frac{1}{3}y[/tex]
Multiply both sides by 3
[tex]3 * 5= \frac{1}{3}y *3[/tex]
[tex]15 = y[/tex]
[tex]y = 15[/tex]
Hence; 15 customers were outside
Express the rate described.
James needs to work 65 hours every 3 weeks to meet the quota for his school internship.
Answer:
21.67 hours/ week
Step-by-step explanation:
Given
[tex]Hours = 65[/tex]
[tex]Weeks = 3[/tex]
Required
Determine the rate
The rate is calculated using:
[tex]Rate = \frac{Hours}{Weeks}[/tex]
Substitute values for hours and week
[tex]Rate = \frac{65}{3}[/tex]
[tex]Rate = 21.67[/tex]
This implies that the rate is 21.67 hours/ week
The expression (4a + b) – 3(2a + b) is equivalent to:
Answer:
-2a - 2b
Step-by-step explanation:
Question : (4a + b)-3(2a + b)
= 4a + b - 6a - 3b
= 4a - 6a + b - 3b
= -2a + (-2b)
= -2a -2b
If you need detail solution here ;
first + multiply both 4a and b
first -3 multiply both 2a and b and then -3×2a= -6a
-3×b = -3b
and it will be 4a + b -6a -3b,then collect like terms
4a - 6a + b -3b
= -2a +(-2b) in this part + tims - = -
= -2a - 2b
If it's not helpful ask me on comment I will try to answer
If it's helpful ❤❤
THANK YOU
About 5% of the surface area of the U.S. is water. What decimal represents the amount of the U.S. surface area taken up by water?
This is the last question on my homework whoever answers gets brainliest :)
Answer:
.05
Step-by-step explanation: .5 would be 50%
help please (place and label the following numbers on the number line. Order them as best as you can.)
-1
1.75
-1.75
-2
-2.5
-5/2
9/4
Answer:
least to greatest in order: -5/2(-2.5), -2.5, -2, -1.75, -1, 1.75, 9/4(2.25)
The numbers -1, 1.75, -1.75, -2, -2.5, -2.5, and 2.25 represented on the number line are given below.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The following numbers on the number line are given below.
-1, 1.75, -1.75, -2, -2.5, -5/2, 9/4
Convert the fraction number into a decimal number. Then we have
-1, 1.75, -1.75, -2, -2.5, -5/2, 9/4
-1, 1.75, -1.75, -2, -2.5, -2.5, 2.25
The numbers -1, 1.75, -1.75, -2, -2.5, -2.5, and 2.25 represented on the number line are given below.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ5
Will give brainless ⭐️!!!
A triangle is translated 4 units down and 8 units to the right
Which translation returns it to its original location?
O(x, y) - (x + 4, y - 8)
o (x, y) - (x - 8, y + 4)
O (x, y) - (x - 4, y + 8)
O(x, y) — (x + 8, y - 4)
Answer:
It's the second on, 4 units up and 8 units to the left
A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?
Answer:
apples cost a total of 2.16
cherrys cost a total of 9.05
Step-by-step explanation:
1.35*1.6=2.16
3.62*2.5=9.05
The single equivalent discount rate of the trade discount 6/4/2 is:
Answer:
3/1
Step-by-step explanation:
Given the expression 6/4/2, we are to express as a single fraction.
6/4/2
= 6÷4/2
= 6×2/4
= 12/4
= 3/1
Hence the expression as a single fraction is 3/1
What’s a cows favorite type of math?
Answer:
mooltiplication
The solution is, Multiplication is a cows favorite type of math.
What exactly is the Purple Cow Poem about?Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.
here, we have,
In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.
According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.
To learn more about Purple Cow refer to:
brainly.com/question/7544998
#SPJ2
Solve using substitution.
4x – 7y = -18
x = 6
Answer:
6
Step-by-step explanation:
4(6) - 7y = -18
24 - 7y = -18
-7y= -42
y= 6
Answer: y=6
Step-by-step explanation:
4(6)-7y=-18
24-7y=-18 subtract 24 on both sides
-7y=-42 **then divide -7 on both sides**
and the answer is y=6
pls help :)
Given the function y = x + 3, what is the value of y if x is 7?
Answer:
10
Step-by-step explanation:
y=x+3; x=7
Substitute x in with 7
y=7+3Add 7 and 3
y=10What is the value of the x?
Answer:
53
Step-by-step explanation:
37+90=127
180-127=53
can someone help me??
Strategies for finding a 30 % increase....
Answer:
Identify the original value and the new value.
Input the values into the formula.
Subtract the original value from the new value, then divide the result by the original value.
Multiply the result by 100. ...
Check your answer using the percentage increase calculator.
Step-by-step explanation:
Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?
Answer:
Mark's mass is 26 kg.
Step-by-step explanation:
Average mass of Jeremy, Mark and Zack = 28kg
Average mass of Jeremy and Zack = 29 kg
Let,
Jeremy's mass = x
Mark's mass = y
Zack's mass = z
Average of three of them = [tex]\frac{Jeremy's mass + Mark's + Zack's}{3}[/tex]
28 = [tex]\frac{x+y+z}{3}\\[/tex]
[tex]28*3 = x+y+z\\84 = x+y+z[/tex]
x+y+z = 84 Eqn 1
[tex]29 =\frac{x+z}{2}\\58=x+z\\[/tex]
x+z = 58 Eqn 2
Now putting value of x+z from Eqn 2 in Eqn 1
x + z + y = 84
58 + y = 84
y = 84 - 58
y = 26
Thereofore,
Mark's mass is 26 kg.
Please help!! Will make brainliest
UmmmmAnswer:
Step-by-step explanation:
-3(2x+1)+x
Please help me thx:)
What language your figure the thunder rose
Answer: ok buddy
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
16. Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
given two attempts (you will pull out one card and then another card)?
Answer:
Step-by-step explanation:
The way to do this (I think) is to figure out the probability of not getting said king on either throw.
First Throw: P(no King Hearts) = 51/52
Second Throw: P(no King Hearts) = 50/51
Total probability = 51/52*50/51 = 50/52
Therefore the probability of getting it right is
P(KH) = 1 - 50/52 = 2/52 = 1/26
I have a feeling that this is not correct. If you get a different answer that looks reasonable, take it.
Write a multiplication equation and a division equation that represent this situation. Use “?” to represent the unknown quantity.
Answer:
csdkc kwhbfc d cjasd c
Step-by-step explanation:
sdjnf ewaihfbashehkf liq4bf;wjhf
Convert 6 months to years
Answer: 0.500001
Step-by-step explanation: Hope that helps!
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes?
Answer:
9
Step-by-step explanation:
i did the math
1/? x 1/2 = 1/10
PLEASE HELP
Answer:
5
Step-by-step explanation:
Answer:
Answer:5
Step-by-step explanation:
hope it helps.
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?
Answer:
71,266 peaches
Step-by-step explanation:
paul=5482
peter=5482*4=21,928
sam=21928*2=43,856
5482+21,928+43,856=71,266
Is anyone able to check this for me?
Pyragtheom theory
8th grade math
Answer:
Those are both correct
Step-by-step explanation:
To solve for the triangle 12^2+10^2=c^2, and for the other question, you are correct because the hypotenuse is NEVER the shortest side.