solve the simultaneous equation
2x + 4y=1
3x - 5y=7
Answer:
x = 3/2 or 1.5.
y = -1/2 or -0.5.
Step-by-step explanation:
Solve for one equation, one variable.
2x + 4y = 1
subtrract 4y from both sides.
2x = 1 - 4y
divide by 2 to get x by itself.
x = 1/2 - 2y
Now that we have this, we can put it into the other equation.
3x - 5y = 7
Substitute variable.
3(1/2 - 2y) - 5y = 7
Distribute the 3.
1.5 - 6y - 5y = 7
Combine terms.
-11y + 1.5 = 7
Subtract by 1.5.
-11y = 5.5
Divide by -11.
y = -1/2, or -0.5.
Now we can find x. Substitute this into the initial equation.
2x + 4y = 1
Substitute variable.
2x + 4(-1/2) = 1
Multiply.
2x + (-2) = 1
Simplify.
2x - 2 = 1
Add 2 to both sides.
2x = 3
Divide by 2.
x = 3/2, or 1.5.
x = 3/2 or 1.5.
y = -1/2 or -0.5.
Evaluate:
12×2.4×2.4×7=
Answer:
483.84
Step-by-step explanation:
Answer:
483.84
Step-by-step explanation:
I rly need help with #2-4 and #8-9 PLZZ
Answer:
2. sin=12\15 cos=9/15 tg=12/9
3. sin=3/v13 cos=2/v13 tg=3/2
4. sin=v15/4 cos=7/4 tg=v15/7
Plsss help ASAP
200 extra point and brainliest
Answer:
A, B, D
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
1. 100 = 100%, so seeing that there are 55 boys and 45 girls, we can go ahead and turn those into percentages, making this answer correct.
2. Once again, 100 = 100%, so 17 = 17%
3. "10/55 of those" isn't implying this is the boys only, but rather everyone, so this statement is not correct.
4. 10/35 of the students who chose math are girls. We can see that on the graph.
5. 8 + 8 = 16. Those are both the same number and half and half of the boys and girls...
Hope this helped!
Write the inequality that represents the number line
Answer:
C)
Step-by-step explanation:
answer this question for brainilest and 30 points
help please!! i’m confused
Answer:
3. B. AD = AOStep-by-step explanation:
Hope it helps
#CarryOnLearning
PLEASE ANSWER CORRECTLY I WILL GIVE U M
Answer:
the answer should be 360° n
Write an equation to match each graph
Answer:
y=lxl
Step-by-step explanation:
Answer:
y=|x|
Step-by-step explanation:
The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,
Help needed with some geometry
Answer:
hope this helps you. look it once.
That's Question 8 attached
#9
Angles that are distinct
<A and <B<C and <DAngles less than 180°
<B and <D2 different measures
a scuba diver dived 54ft below sea level to find an oyster. he then swam up 20 ft to open the oyster to see if it contained a pearl. how many ft below sea level was he when opened the oyster
Answer:
The diver was 34 feet below sea level
PLEASE HELP! I AM BEHIND ON SCHOOL WORK AND I NEED THIS! PLEASE SHOW WORK!
How do I do this I need help please?
Answer:
34.8 to 1 dp
Step-by-step explanation:
18/2 = 9
Area of rectangle 18 X 9 = 162 cm^2
diameter of each circle 9
radius = 4.5
Area of a circle = πr^2
π X 4.5^2 = 63.6172512
63.6172512 X 2 (there are 2 circles) = 127.234502
162 - 127.234502 = 34.7654975
34.8 to 1dp
In the current year Aveeno reported net income of $50,400which was a 12% increase over prior year net income Compute prior year net income
Answer:
$45000
Step-by-step explanation:
Given data
Net income =$50,400
Let the prior year income be x
12/100*x +x= 50400
0.12x+x= 50400
1.12x= 50400
x= 50400/1.12
x= $45000
Hence the prior year income is $45000
Amelia can spend no more than $150 to rent a car for a day trip. A rental car costs $35 per day plus $0.75 per mile.What is the maximum number of miles that Amelia can drive?
Answer:
If she is only driving the car for a day, she will only have to pay the one-time fee of $35 per day
35+0.75x=150
x being the number of miles
x= 153.3 miles
Use the following function rule to find f(3).
f(x) =
8
x
+ 9
f(3) =
Answer:
33
Step-by-step explanation:
f(3) = 8(3) + 9 = 24 + 9 = 33
Answer:
33 is the answer.
Step-by-step explanation:
# CarryOnLearningPLEASE ANswer iLL TRY AND MARK BRAINLIEST
How many 1/5s are in 4
Answer:
20
Step-by-step explanation:
You have to divide to find the answer so
4/1 * 5/1
Which will get you to 20.
plz help have posted this question 3times and no one has helped me
Answer:
25
Step-by-step explanation:
Find the total by summing the heights of the bars, that is
total = 2 + 5 + 6 + 8 + 3 + 1 = 25
This dot plot shows the number of runs scored by the yellow jackets in their last 12 games. How could you describe the graft?
Answer:
Symmetric
Step-by-step explanation:
The dot plot provided is almost symmetric :
Obtaining the median value :
2, 3, 5, 5, 6, 6, 6, 6, 7, 7, 7, 9
1/2 ( n + 1)
n = 12
1/2 (13) = 6.5
(6 + 6) /2
12 /2
= 6
Counting the number of points to the left and to the right of the median vlaue in the plot, we'll see that the difference in values aren't entirely different, and as such folding along the median value won't leave too much on one side than the other. Hence, the plot is symmetric.
HELP ME PLEASE!!!
Find the area of the triangle shown below.
lots of point n brainliest SO help rq
Bruce invested a certain amount of money for five years at a rate of 2.25%. At the end of that time, he had earned $675 in interest. How much money was invested? (See Example 3 from your notes.)
a
$6000
b
$6675
c
$6750
d
$5645
Answer:
A. $6000Step-by-step explanation:
Let the invested amount is x.
Then the interest amount is:
x*5*2.25/100 = 6750.1125x = 675x = 675 / 0.1125x = 6000Correct choice is A
What is the slope of the line that passes through the points: (5, -3) and
(-1,6)
Answer:
-1/2
Step-by-step explanation:
https://www.calculator.net/slope-calculator.html
That website has the best explanation ^^^^^
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]m=\frac{\text{rise}}{\text{run}}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (5, -3) (-1, 6).
[tex]\frac{6-(-3)}{-1-5}=\frac{9}{-6} =-\frac{9}{6}=\boxed{-\frac{3}{2}}[/tex]
Hope this helps you!
Translate the sentence into an inequality. Ten times the sum of a number and 21 is at most 16. Use the variable y for the unknown number.
Answer:
10y+ 21 ≥ 16
Step-by-step explanation:
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
find the distance of line segment AB between the points at (8,0) and (5,9)
Answer:
Approximately 3.605 units
Step-by-step explanation:
AB= B -A = [tex]\left[\begin{array}{ccc}5\\9\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}8\\0\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3\\9\end{array}\right][/tex]
|AB| = √x²+y² = √(-3)²+2² = √9+4 =√13 = 3.605 units
you randomly choose a shirt off the shelf. there is 4 blue shirts 2 black shirts and 2 green shirts and 1 white shirt and 1 red shirt. what is the probability of choosing a green shirt? im at school halp
Answer:
2 out of 10
Step-by-step explanation:
Simple math
Plzzz put the work step by step so I can copy
Answer:
down below
Step-by-step explanation:
inside of a triangle is 180 degrees
[tex]180=90+5x+2+4x-11\\180=5x+4x+90+2-11\\180=9x+81\\180-81=9x+81-81\\99=9x\\99/9=9x/9\\11=x[/tex]
now that we have our x we can find the angles
[tex]M=90\\\\K=5(11)+2\\K=57\\\\\\L=4(11)-11\\L=33[/tex]
You, your cousin, and a friend each take the same number of free throws at the basketball hoop. Who made the most free throws?
Player Shots Made
You 17/20
Cousin 0.8
Friend 87.5%
Answer:
the friend made more free throws
Step-by-step explanation:
17/20 = 85%
0.8 = 80
87.5% = 87.5
the friend has a bigger percentage. meaning she mad more free throws
Each morning, it takes Leah 5 minutes to walk to the bus stop. She rides the bus for 35
minutes and then walks 10 minutes to her office. If Leah needs to be at work by 8:10 A.M.,
what is the latest time she can leave her house?
Answer:
7:20 A.M.
Step-by-step explanation:
5+35+10=50 mins
So she has to leave 50 mins before 8:10 A.M.
which is 7:20 A.M.