Solve the system of equations using elimination.
6y−4x=20−4y+3x=−12
(4, 6)
(−4, 6)
(−4, −6)
Answer: A. (4,6)
Step-by-step explanation: 2(6y−4x = 20) 3(−4y+3x = −12) −8x+12y = 40 9x−12y = −36 -8x+9x +12y-12y 40-36 x=4 6y−4x = 20 6y−(4)(4) = 20 6y−16+16 = 20+16 6y/6 = 36/6 y = 6 x = 4, and y = 6.
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
The given system of equations are 6y-4x=20 and -4y+3x=-12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)
Multiply equation (I) by 3, we get
-12x+18y=60 ----------(III)
Multiply equation (II) by 4, we get
12x-16y=-48 ----------(IV)
Add equation (III) and (IV), that is
-12x+18y+(12x-16y)=60-48
⇒ 2y=12
⇒ y=6
So, 6y-4x=20
⇒ 36-4x=20
⇒ -4x=-16
⇒ x=4
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
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Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
6^2+8^2=10^2
following the pythagoras theorem this triangle is right triangle
what is 3x3-7=8x9 ??
Answer:
Below.
Step-by-step explanation:
3 x 3 - 7 = 8 x 9
=> 9 - 7 = 72
=> 2 ≠ 72
The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.
Find the length s of the arc that subtends a central angle of measure 3 rad in a circle of radius 5 cm
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
2 1/7:(15a)=5/14:(0.8)
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?
Answer:
2267.25
Step-by-step explanation:
add that fisrt one
14. Find m
(9x + 2)
(15x -52)
Step-by-step explanation:
triangle BCD ~ triangle EFD so
angle BCD= angle EFD
9x+2=15x-52
6x=54
x=9
angle CBF =9x+2=83°
In the triangle ΔCBD, the angle measure of ∠CBF is 83°.
What are similar triangles?When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.
Given:
The angle measures,
∠CBD = (9x + 2)°
∠EFD = (15x -52)°
From the diagram,
ΔCBD is similar to ΔEFD.
So, the corresponding angles are equal.
∠CBD = ∠EFD
(9x + 2)° = (15x -52)°
15x - 9x = 52 + 2
6x = 54
x = 9°
And ∠CBF = ∠CBD
So, ∠CBF = (9x + 2)°
Substituting the value of x,
∠CBF = (9(9) + 2)°
∠CBF = 83°
Therefore, the angle measure of ∠CBF is 83°.
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Describe the transformation from the parent function: y = x.
y = 1/2x
Find the equation of the line with slope m = 4/5 that contains the point (10, 11)
Answer:
Point slope : y = 4/5(x-10)+11
Slope intercept : y = 4/5x + 3
Step-by-step explanation:
Use Point slope
y = 4/5(x-10)+11
Simplify for slope intercept
y = 4/5x + 3
If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?
Answer:
2:4 or simplify and get 1:2
Step-by-step explanation:
2 tsp. of oil every 4 cups of flour.
find the length of segment AB
Answer:
96
Step-by-step explanation:
Answer:
96
hope this helps you!!
We know that the sample standard deviation is 10 and the sample size is 70. For what sample mean would the ������ -value be equal to 0. 05? assume that all conditions necessary for inference are satisfied.
Carefully evaluate f (1)
Answer:
it should be f
Step-by-step explanation:
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
Explain why a step in solving the equation 4n= -36 is to divide both sides by 4. Then solve the equation
The correct value of ''n'' in this equation will be -9
Step-by-step explanation:In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:
Resolution:[tex]\large \sf 4n= -36[/tex]
[tex]\large \sf n= -36\div4[/tex]
[tex]\large \sf n= \dfrac{-36}{4}[/tex]
[tex]\boxed{\boxed{{\large \sf n=-9}}}[/tex]
So we can conclude that the value of ''n'' in this equation will be -9
the slope of the line that passes through the points (-6,-4) and (-12,-4)
Answer:
The slope is 0
Step-by-step explanation:
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
What is the answer
Answer:
It's a im taking the same test lol
Step-by-step explanation:
12
For what value of n does 36
G
- 2167
Answer:
n=-3/2
So B on edge
[tex]\\ \sf\longmapsto (\dfrac{1}{36})^n=216[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{36^n}=6^3[/tex]
[tex]\\ \sf\longmapsto 36^{-n}=6^3[/tex]
[tex]\\ \sf\longmapsto 6^{-2n}=6^3[/tex]
[tex]\\ \sf\longmapsto -2n=3[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{3}{2}[/tex]
Type the expression that results from the following series of steps
Start with y subtract d, multiply by a, then add c.
Answer:
(y-d) × a + c
Step-by-step explanation:
You start with y:
y
subtract d:
y-d
multiply by a:
(y-d) × a
then add c:
(y-d) × a + c
Hope that helps! :)
Suchitra works at the local supermarket. She gets paid $22.50 per hour. Her time card
is shown below
Day In Out
Monday 9:00 a.m. 5:00 p.m.
Tuesday 9:00 a.m. 6:00 p.m.
Wednesday 8:30 a.m. 5:30 p.m.
Thursday 9:00 a.m. 4:30 p.m.
Friday 9:00 a.m. 4:00 p.m.
a How many hours did Suchitra work this week?
b .Find her weekly wage
Answer: she worked 31 hours ( I believe so)
Step-by-step explanation: hope that helps
Find the unit rate. Round to the nearest hundredth, if necessary.
Carpet for $150 for 8 ft2
Answer:
Step-by-step explanation:You can dly/3fcEdSxownload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
PLEASE HELP. WILL MARK BRANLIEST!!!
Evan is always on the go and lacks the time to search for a parking space in the city. Evan has
most recently started using car-sharing services like Uber and Lyft to get around Nashville. He
maintains a log of each ride to claim the car-sharing charges as a business expense, as shown
below:
A. Sketch a graph of the provided data.( label each axis and provide scaling).
B. Write a linear function to show the relation ship between the two variables. Use the variables d for miles and c for dollars
C. Explain the meaning of each part of your equation In context to the scenario.
D. Evan is trying to determine where to meet a client for a meeting. How far will Evan be able to travel with a budget of $10.00 for a car-sharing ride?
E. Whoops! Evan was in quite the rush and forgot to log the miles for his last trip! How many miles was Evans trip if there was a charge of $17.26 on his credit card for the ride-sharing service?
2. Josh works in the same office as Evan; unfortunately, josh is not very organized, and his ride-share log is incomplete. Use the linear function C=1.20d to complete the chart below:
Distance d in miles,cost c in dollars
4 14.55
11
28.95
Answer:
25 is A , 26 is B , 27 is C , and 28 is C
Step-by-step explanation:
hope this helped
mark me brainilest :D
Answer:
25 is A , 26 is B , 27 is C , and 28 is C
Step-by-step explanation:
kira's penny bank is 1/6 full. after she adds 200 pennies, it is 1/2 full. how many pennies can kiras bank hold?
Let it be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]
[tex]\\ \sf\longmapsto 2x=1200[/tex]
[tex]\\ \sf\longmapsto x=600[/tex]
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick, please do all :D
Answer:
1. C) .4
2. B) 2 1/4
3. D) 3 5/8
Step-by-step explanation:
1. The question is asking what fraction (represented in decimal form) did Maria spend. To find this, divide 18/45 because Maria spent $18 of her $45. When you complete this calculation, you get .4
2. When you look at where the line ends, it's at the first quarter line after the 2, meaning that the line is 2 and one quarter or 2 1/4
3. 8 times 3 is 24, which is the closest multiple of 8 to 29. However, since there is still 5 left over (which still needs to be divided by 8) it would be represented by the mxed fraction.
help me free brainleist if you help
Answer:
4th one
Step-by-step explanation:
. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
AND EXPLAIN THE STEPS
Answer:
Smaller angle : 30 degrees
Bigger Angle : 65 degrees
Step-by-step explanation:
85+6x+13x=180, 85+19x=180,19x=95,x=5
Smaller angle : 30
Bigger Angle : 65
100 POINTS!!!!!! hELP ASAP EXAM
Show that ( + )^2 = ( + )( − ) + 2
Answer:
2+y=x÷2 y=5 x=23
Step-by-step explanation:
it was very eazy
Let that unknown one be x
[tex]\\ \rm\rightarrowtail x^2=x(-x)+2[/tex]
[tex]\\ \rm\rightarrowtail x^2=-x^2+2[/tex]
[tex]\\ \rm\rightarrowtail 2x^2=2[/tex]
[tex]\\ \rm\rightarrowtail x^2=1[/tex]
[tex]\\ \rm\rightarrowtail x=1[/tex]
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 how much mac and cheese could abdulla buy with $20?
Answer:
8 pounds
Step-by-step explanation:
"purchased 3 pounds of mac and cheese for $7.50"
You would make this into an equation to figure out the price of one pound of mac and cheese (x):
7.50=3x
x=2.5
Next, you can create an equation to represent the price per pound.
Total price = 2.5(number of pounds)
Now, plug in the information you have:
20 = 2.5x
8=x
