Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
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Help if you see a troll report them
Answer:
I've seen multiples of trolling going on in brainly, and i could barely report them all.
Step-by-step explanation:
NEED HELP!!! What are the missing measures???
Answer:
jmk=54, Hml, 54, LMK=126, HLK=90, JKL=90
Step-by-step explanation:
pls can anyone pls help!! asap and you will get brainliest if you are right
Answer:
1. no
2. yes
Step-by-step explanation:
How many lines of symmetry are there in the object pictured below?
Answer:
There are two lines of symetry.
Answer:B
Step-by-step explanation
its B
(ILL MARK BRAINLIEST)
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).
What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)
Answer:
D.) or (2, -1)
Step-by-step explanation:
Find the slope of the lines given two points. (-7, 2) and (-7, 1)
Answer:
undefined
Step-by-step explanation:
m=1-2/-7-(-7)
m=-1/0
x=0 slop
the line will be vertical and the slope is undefined
what is m<M to the nearest degree? show your work.
Answer:
27°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin theta = opposite/Hypotenuse
Opposite = 5
Hypotenuse =11
sin theta = 5/11
theta = arc sin (5/11)
theta = 27.035691789°
Approximately = 27°
Angle m<M = 27°
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
12cm
3 cm
?] cm2
lateral surface area of this cylinder is 1584/7 or 226.28...cm square.
The lateral area of the cylinder is 226.2 cm² .
What is lateral surface area of cylinder?The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.
For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:
A = 2πrh.
According to the question
radius of cylinder = 3 cm
height of cylinder = 12 cm
The lateral area of the cylinder:
A = 2πrh
A = 2 * [tex]\frac{22}{7}[/tex] * 3 * 12
A = 226.2 cm²
Hence, the lateral area of the cylinder is 226.2 cm² .
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Factor the GCF.
1) - 15x^5 + 24x^3+ 27x^2
Answer:
3x^2 if thats what you needed
Step-by-step explanation:
help please :()
Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in the simplest form.
Slope Instruction: Calculate the slope of the two points. (8,6)(2, 12) m
PLEASE HALP WILL GIVE CROWNNN PLESSSSSSSSSS
Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?
A hexagon in the shape of a right arrow is above a horizontal line and left of a vertical line.
A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection shown
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown
Answer:
triangle
Step-by-step explanation:
A ladder is placed against a wall.
To be safe, it must be inclined at between 70° and 80° to the ground.
5.8m
O 11N/Ma1 lesson 3438
HERRER
1.5m
MM
G
(a) is the ladder safe?
Answer:
yes it is safe.
Step-by-step explanation:
Tan^-1 (5.8/1.5)
theta = 75.5
yes, it is safe
The angle is between 70° to 80°.
Yes, the ladder is safe.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
tan Θ = 5.8 / 1.5
Θ = tan (5.8 / 1.5)
Θ = 75.5°
The angle is between 70° and 80°.
Thus,
The ladder is safe.
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Ray has 3 1/2 gallons of maple syrup. He fills nine 1 quart bottles with syrup and gives them away how many quarts of maple syrup does he have left
Answer:
5 quarts
Step-by-step explanation:
3.5 gal - 9 quarts = 1.25 gal, or 5 quarts.
The number of quarts of maple syrup Ray has left is 4.75 quarts.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Given that, Ray has [tex]3\frac{1}{2}[/tex] = 7/2 =3.5 gallons of maple syrup.
Ray fills [tex]9\frac{1}{4}[/tex] = 37/4 = 9.25 quarts.
We know that, 1 gallon = 4 quarts
Here, the number of quarts of maple syrup left
= 3.5×4-9.25
= 14-9.25
= 4.75 quarts
Therefore, the number of quarts of maple syrup Ray has left is 4.75 quarts.
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Find the exact value of x.
Thank you
Answer:
Step-by-step explanation:
Using the same proportion as the previous question
11/x = x / 8 Cross multiply
x^2 = 88 Factor 88 into at least 1 perfect square and something
x^2 = 4 * 22 Take the square root of both sides
x = sqrt(4 * 22)
x = 2*sqrt(22)
Mitchell deposits $1,200 in an account that pays 4.5% simple interest. He keeps the money in the account for three years without any deposits or withdrawals. How much is in the account after three years?
Answer:
$1362
Step-by-step explanation:
Find the tangent of ∠T
Answer:
tangent angle T = 2.3999
Step-by-step explanation:
sin T = 48/52 = 0.9231
angle T = 67.3801 degrees
tangent angle T = 2.3999
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
Information : Ali makes $50 in savings a month. Also i need the months of the fee and ali to go up to 12 months. thank youuu
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
What's true about a regular polygon?
Answer:
Both the angles and sides are congruent.
Answer:
B
Step-by-step explanation:
I think
help please quick!!!
Answer:
9,000 is the answer you are looking for
Need help with geometry pls picture provided
Answer:
y= 30 x=15
set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply
Adriana baked 42 cookies with 7 scoops of flour. With 8 scoops of flour, how many cookies
can Adriana bake? Solve using unit rates
Answer:
she can make 48 cookies.
Answer:
48
Step-by-step explanation:
If you divide 42 by 7 you get 6 so thats how many cookies she baked with one scoop. So then you add 6
Someone help please? its late.
Answer:
It would be 10 units
you can use the midpoint formula.
I need help pls can someone help pls
= 23.5
hope it helps
can you please help me with this question?
-60 percent of the pizza have 12 slices. In total there are 216 slices in these pizza
-40 percent of the pizza have 10 slices. in total there are 120 slices of pizza
- there are 336 pizza slices
Football The function defined by h = -5t² + 20t + 2 indicates the approximate height h of a soccer ball. in meters according to the elapsed time t in seconds, since it was launched. This ball hit the ground before a receiver managed to approach it. How much time has the balloon spent in the air, to the nearest tenth of a second! For how many seconds was he at a height of at least 17 m?
Total surface area of a cuboid 0.7
,
TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7
An account earns a simple interest.
700$ at 8% for 6 years
a.Find interest earned
b.find balance of the account.
Which equation can be represented using the number line?
A. 3/4 ÷ 1/8 =6
B. 1/8 ÷ 3/4 =6
C. 6 ÷ 3/4 =1/8
D. 6 ÷1/8 =3/4
Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-point scale, the researcher calculates the subjects' amount of itching
before treatment compared with the amount of itching after treatment. The response variable is the itch rating after one hour of treatment. Previous studies have shown the effects of
treatment may vary based on a subject's pain resistance. How should the subjects be blocked? Explain. (4 points)
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because older subjects tend to itch more.
They should be blocked by gender because female subjects tend to itch more.
They should be blocked by pain resistance so the subjects are as similar as possible.
O Blocking should not be used in this experiment.
Answer: Choice D
They should be blocked by pain resistance so the subjects are as similar as possible.
============================================================
Explanation:
The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.
Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.
This is why choice D is the final answer.
-------------
Extra info:
Choice A is false because a person's name doesn't have anything to do with if the treatment works or not.Choice B is false because we weren't given any info to indicate it being true. It may be true, but we simply don't have enough info to confirm it. Choice C is false for similar reasons as choice B.Answer:D
Step-by-step explanation:
This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D