Answers
Y= 3
(That’s using substitution)
The value of x = 1/2 , y = 3 of the simultaneous equation.
What are simultaneous equation ?"Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations. When you are asked to solve such equations, you must find values of the unknowns which satisfy all the given equations at the same time. They are Simultaneous Equations because the equations are solved at the same time. Simultaneous Equations need algebraic skills to find the values of letters within two or more equations."
Given, The equations
[tex]2x + 3y = 10[/tex] ----------- eq 1
[tex]4x - y = -1[/tex] ------------ eq 2
multiplying eq 1 by 2
[tex]4x + 6y = 20[/tex] ----------- eq 3
now subtracting eq 3 from eq 2
we get, [tex]7y = 21[/tex]
y = 3 and x = 1/2
Hence, the values of x and y = 1/2, 3 respectively.
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Related Questions
A sign in front of a roller coaster says "You must be 40 inches tall to ride."
What percentage of this height is: 54 inches?
Answers
Answer:
54/40 = 1.35 or 135%
Step-by-step explanation:
PLEASE HELP!! ILL GIVE BRAINLIEST
Answers
Answer:
Its SSS because we know that MN=HJ and MQ=HC
Step-by-step explanation:
2=4 in MN=HJ
5=10 in MQ= HC
The answer is 50. I need help showing the work :/
Answers
Answer:
add them together and set them equal to 180
Step-by-step explanation:
They are both supplementary angles, so 15x+85+20x-10=180, so combine like terms=>35x+75=180
subtract 75 from both sides=>35x=105
divide both sides by 35 to get x alone=>x=3
plug that in for 20x-10
20(3)-10
=>60-10
=>50
Solve the following inequality algebraically.
x + 2 < 11
Answers
Answer:
x < 9
Step-by-step explanation:
Subtract 2 from both sides so you can isolate the variable on the left.
Which fraction represents the product of -7/8 and -9/11 in simplest form?
Answers
Answer:
63/88
any more help just ask
Answer:
c
Step-by-step explanation:
bc it is
Evaluate the expression shown below and Write your answer as a fraction in simplest form
3/4 -12/5
Answers
Answer:
-33/20
Step-by-step explanation:
JUST SPREADING THE MESSAGE!! Just so everyone knows HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS, someone told me to do this
Name the property that the statement illustrates.
Answers
Answer:
Transitive property of segment congruence
Step-by-step explanation:
The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,
The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].In terms of general equivalence relations,
The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].That's the transitive property.
The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.
Can someone help me in this question
Answers
Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
2x+7y=3
X= -4y
X=?
Y=?
Answers
Answer:
x=12, y=-3
Step-by-step explanation:
Plug (-4y) in for x in the top equation. The equation will now read 2(-4y) + 7y = 3. Distribute the 2 into the perenthecies getting: -8y+7y=3. -8+7 is -1 giving -y+3. Divide by -1 making y = -3. Plug -3 back into the top equation and solve for x: 2x + 7(-3)=3. 2x-21=3. 2x=24. x=12.
Find the zero of the
function by
graphing:
f(x) = -2x+6
How do I find the zero?
Answers
Answer:
i think you set the equation to zero
Step-by-step explanation:
T -10 -9 -8-7-6-5-4-3-2-1. 0 1 2 3 4 5 6 7 8 9
Using the number line above, select the number that would be the opposite of point T.
A.0
B.9
C.-8
D.7
Answers
Answer:
C
Step-by-step explanation:
Find the area of the shape
Answers
Your answer will be D.
So, you have the angles 12, 9, 6, and 3. You may see that the place that 6 is makes this a non perfect square. When you have this problem simply add the number on top of it with the number that makes this problem.
For instance...
[tex]\boxed{6+3=9}[/tex]
So, when finding area you must multiply the 2 lengths with each other.
So here our bottom length is also 12. Thus, we must multiply 9 and 12 together.
For instance...
[tex]\boxed{9*12=108}[/tex]
The area of Isaiah's bedroom is 13 1/3 square yards. His bed's area is 2 2/3 square yards. Find the unit rate and explain, in words, what it means in the context of this problem.
Answers
Answer:
5
Step-by-step explanation:
Area of bedroom = 13 1/3 square yards
Area of bed = 2 2/3 square yards
Unit Rate = Area of bedroom / Area of bed
Unit Rate = (40 / 3 ÷ 8/3)
Unit Rate = 5
According to the scale on a map, 1 inch on the map = 16 miles. How many inches on the map would represent 24 miles?
Answers
Answer:
1.5 inches
Step-by-step explanation:
1 inch = 16 miles
x = 24 miles
Cross multiply
16x = 24*1
Divide by 16
x = 24/16
x = 3/2 = 1.5
HELP! Dont judge i really do need help!
Answers
Answer:
A.
Step-by-step explanation:
The coordinates are currently on the top left, which means one of the coordinates are negative. If you look at the chart, you can see that the X-axis is negative, and X is first on a coordinate plane. (X,Y) So, if the negative coordinate is X, and X goes first, then there's no other choice than to choose A, which is the only answer choice that has a negative X-axis in their coordinate plane! Hope this helps!
Use the graph to solve the system of linear equations.
x - y = 4
4x + y = 1
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of x and y is 1 and -3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4y = 6 is an equation.
2x = 4 is an equation.
4x - 6x + 6x = 6 is an equation.
We have,
x - y = 4 _____(1)
4x + y = 1 _____(2)
From (1) we get,
x = 4 + y ____(3)
Putting (3) in (2) we get,
4x + y = 1
4 (4 + y) + y = 1
16 + 4y + y = 1
16 + 5y = 1
Subtract 16 on both sides.
5y = 1 - 16
5y = -15
Divide both sides by 5.
y = -3
Now,
Putting y = -3 in (3) we get,
x = 4 + y
x = 4 - 3
x = 1
Thus,
The value of x and y is 1 and -3.
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Please help ASAP 15 points
Answers
Answer:
B
Step-by-step explanation:
The answer is B because it tells you the letter atound triangle.
Answer:
b
Step-by-step explanation:
EXPLAIN THIS FORMULA PLS HELP ME
Answers
it means
wdwedwefqwerf
plz I need helpppp!!!!
A car salesman earns $500 per week plus 1.5% commisson on his sales. If he sold two cars for a total of $55,000 last week, how much did he make?
a.$83,000
b.$825
c.$2150
d.$1325
e.$1250
Answers
Answer:
D
Step-by-step explanation:
1.5% of 55,000 is 825
add 825 to 500 it totals to 1325
Please help me out!!!!!
Answers
Answer:
Step-by-step explanation:
7(2)³ - 2(2)² + 4(2) - 5 = 51
The answer is (D).
Write the number in scientific notation
307,000,000
Answers
Answer:
3.07×10^8
Step-by-step explanation:
:)
hope this helps
Answer: 307,000,000 in scientific notation is 3.07 × 10^8.
If Mrs. Bugarin has 30 oranges and 20 are rotten, what percent of oranges are not rotten?
Answers
Answer:
6 percent
Step-by-step explanation:
i believe this is the answer
Please help !!! I neeed this ASAP please
Answers
I can do a and b for you but im unsure about c and d. I'm sorry :((
a. x = 2
It is the only point that hits the x axis, thus making it a zero of f(x).
b. substitute 2 for x in the original equation and it should equal 0.
f(x)= x^3 - 2x - 4
f(x)= 2^3 - 2(2) -4
f(x)= 8 - 4 - 4
f(x)= 0
tell me the answer on this to lazy at least am honest
Answers
Answer:
reflection
Step-by-step explanation:
it goes against the y axis
Answer:
reflection
Step-by-step explanation:
it was reflected over the y-axis
Hope this helps :)
a $320 dollar suit is marked down by 30% find the sales price
Answers
Answer:
224
Step-by-step explanation:
Jenny will choose between two restaurants to purchase pizzas for her party. The first restaurant charges a delivery fee of $6 for the entire purchase and 12 per pizza. The second restaurant has no delivery fee and charges 14 per pizza.
Answers
Answer:
The second one
Step-by-step explanation:
The second one because if you compare 12+6=18 to 14 the better buy is the second one because 14 is less than 18
The expression (2x^4)^2(5x)^3 can be written equivalently as
Answers
Answer:
500 x^11
Step-by-step explanation:
Answer:
500x^11
Step-by-step explanation:
Using PEMDAS first get rid of parenthesis
(2x^4)^2 is the same as 2x^4 * 2x^4 or 4x^8
(5x)^3 is the same as 5^3 * x^3 or 125x^3
multiply the two together, remember exponents on like terms add together
125*4 = 500
x^8 * x^3 = x^11
multiply together
500x^11
please give thanks :)
How do i Simplify 12 to the 16th power over 12 to the 4th power?
Answers
Answer:
12^12
Step-by-step explanation:
12^16/12^4 cancel out to the power of 4 on the bottom and on top for an answer of 12^12
Factor the expression (24p - 60)
This is the last one
Answers
Step-by-step explanation:
24p - 60
= 12 * 2p - 12 * 5
= 12(2p - 5).
1/b+x=3b/2x^2 - 1/x
btw ^2 means square
Answers
Answer:
[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]
Step-by-step explanation:
[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]
[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]
[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]
[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]
[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]
[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]
[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]
[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]
[tex] = > (3b + 4x)(b - x) = 0[/tex]
Hence,
[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]
