Answer:
[tex]x = \frac{360}{11} [/tex]
[tex]y = \frac{60}{11} [/tex]
Step-by-step explanation:
Since 6y=x plug 6y in for x on the top equation.
[tex]2(6y) - y = 60[/tex]
[tex]12y - y = 60[/tex]
[tex]11y = 60[/tex]
[tex]y = \frac{60}{11} [/tex]
Plug y=60/11 into 6y=x
[tex]6( \frac{60}{11} ) = x[/tex]
[tex] \frac{360}{11} = x[/tex]
Plug 360/11 into 2x-y=60
[tex]2( \frac{360}{11} ) - \frac{60}{11} = 60[/tex]
[tex] \frac{720}{11} - \frac{60}{11} = 60[/tex]
[tex] \frac{660}{11} = 60[/tex]
The identity is true
Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pounds is Frederick's backpack? Note: 1 pound = 16 ounces
Answer:
25
Step-by-step explanation:
Do 400 divided by 16 to convert to pounds
400/16=25
Hope this helped :)
Answer:
25 pounds
Step-by-step explanation:
1 Pound=16 ounces
? Pounds=400 ounces
400 divided by 16=25
25 pounds=400 ounces
B. Solve;
1. Find a number such that three times the sum of that number
and 5 is greater than 33.
2. The sum of two consecutive integers is less than 81. Find the
pair of integers with the greatest sum.
A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(7) = P(not 7) =
Answer:
[tex]1) \frac{1}{13} \\ 2) \frac{12}{13} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:simple probabilityPEMDAStips and formulas:there are 4 "7" cards in a decklet's solve:according to the question
P(7)=4/52P(7)=1/13according to the question
P(not 7)=1-[tex]\frac{1}{13}[/tex]P(not 7)=12/13Answer:
no of 7=4
total no of card =52
total not no.7=52-4=48
Step-by-step explanation:
probability of getting 7=4/52=1/13
probability of not getting 7=48/52=12/13
1/4 + 1/8= ????????????
Answer:
3/8!! hope i helped :))
PLZZZZZZZZ HELPPPP!!!!!!!!!!!!!!
Answer:
1 135
2 80
3 145
4 45
Step-by-step explanation:
Thats the answer
.
.
.
The linear combination method is applied to a system of equations as shown.
4(.25x + .5y = 3.75) → x + 2y = 15
One-fourth(4x – 8y = 12) → x – 2y = 3
2x = 18
What is the solution of the system of equations?
Answer:
hi
Step-by-step explanation:
Option 4th is correct
The solution of the system of equations is, (9, 3)
Step-by-step explanation:
Given the system of equations:
⇒ .....[1]
⇒ .....[2]
Add equation [1] and [2] we have;
Divide both sides by 2 we have;
Substitute x = 9 in [1] we have;
Subtract 9 from both sides we have;
2y = 6
Divide both sides by 2, we have;
y = 3
Therefore, the solution of the system of equations is, (9, 3)
handing out brainliest!! first one to answer!❤️
Answer:
should be a hope it helps
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
90/1=90
140/2=70
190/3=63.3333333
240/4=60
so the first hour cost more than the others, hope this helps!
In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained. C
What is the answer?
here is the image
Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.
What is dilation?Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image.
From the diagram:
Scale factor = A'B' / AB = 6/3 = 2
Center = (6, -6)
Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.
Find out more on dilation at: https://brainly.com/question/10253650
PLz Welp.............................
9514 1404 393
Answer:
No
Step-by-step explanation:
If the relationship were proportional, the ratio of y to x would be a constant.
y/x = 3/1 ≠ 7/3
x and y are not proportional.
prove it please
answer only if you know
Part (c)
We'll use this identity
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\[/tex]
to say
[tex]\sin(A+45) = \sin(A)\cos(45) + \cos(A)\sin(45)\\\\\sin(A+45) = \sin(A)\frac{\sqrt{2}}{2} + \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\[/tex]
Similarly,
[tex]\sin(A-45) = \sin(A + (-45))\\\\\sin(A-45) = \sin(A)\cos(-45) + \cos(A)\sin(-45)\\\\\sin(A-45) = \sin(A)\cos(45) - \cos(A)\sin(45)\\\\\sin(A-45) = \sin(A)\frac{\sqrt{2}}{2} - \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
-------------------------
The key takeaways here are that
[tex]\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
Therefore,
[tex]2\sin(A+45)*\sin(A-45) = 2*\frac{\sqrt{2}}{2}(\sin(A)+\cos(A))*\frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\2\sin(A+45)*\sin(A-45) = 2*\left(\frac{\sqrt{2}}{2}\right)^2\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = 2*\frac{2}{4}\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = \sin^2(A)-\cos^2(A)\\\\[/tex]
The identity is confirmed.
==========================================================
Part (d)
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\\sin(45+A) = \sin(45)\cos(A) + \cos(45)\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}\cos(A) + \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\[/tex]
Similarly,
[tex]\sin(45-A) = \sin(45 + (-A))\\\\\sin(45-A) = \sin(45)\cos(-A) + \cos(45)\sin(-A)\\\\\sin(45-A) = \sin(45)\cos(A) - \cos(45)\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}\cos(A) - \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\[/tex]
-----------------
We'll square each equation
[tex]\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\\sin^2(45+A) = \left(\frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\right)^2\\\\\sin^2(45+A) = \frac{1}{2}\left(\cos^2(A)+2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
and
[tex]\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\\sin^2(45-A) = \left(\frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\right)^2\\\\\sin^2(45-A) = \frac{1}{2}\left(\cos^2(A)-2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
--------------------
Let's compare the results we got.
[tex]\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
Now if we add the terms straight down, we end up with [tex]\sin^2(45+A)+\sin^2(45-A)[/tex] on the left side
As for the right side, the sin(A)cos(A) terms cancel out since they add to 0.
Also note how [tex]\frac{1}{2}\cos^2(A)+\frac{1}{2}\cos^2(A) = \cos^2(A)[/tex] and similarly for the sin^2 terms as well.
The right hand side becomes [tex]\cos^2(A)+\sin^2(A)[/tex] but that's always equal to 1 (pythagorean trig identity)
This confirms that [tex]\sin^2(45+A)+\sin^2(45-A) = 1[/tex] is an identity
What digit is missing from the quotient?
Answer:
1
Step-by-step explanation:
Answer:
1 is missing
Step-by-step explanation:
As 4285 ÷ 7 = Quotient- 612 , Remainder - 1
Simplify. 6(23x–5)−7x−8
The diagonal of a rhombus are 14cmand 10 cm find the area of
rhombus.
Answer to this question?
Answer:
First Answer is correct
Step-by-step explanation:
- 2x + 4 for x = - 3, 0 , and 3.
Answer:
when x=-3 y=10
when x=0 y=4
when x=3 y=-2
Step-by-step explanation:
all you have to do is plug in -3 0 and 3 for x
-2(-3)=6
6+4=10 so when x=-3 y=10
-2(0)=0
0+4=4
so when x=0 y=4
-2(3)=-6
-6+4=-2
so when x=3 y=-2
Help me ASAP!!!!!!!!!
See picture attached.
WINNER GETS BRAINLIEST, A STAR RATING OF EXCELLENT AND THANKS!!!!!!!!!!! Good luck!
Answer:
Step-by-step explanation:
A)8
I need help with Geometry
Answer:
Me too
Step-by-step explanation:
Answer: hello
your answer will be C
Step-by-step explanation:
Find the measure of the following:
m arcTR =
m arcTL =
m ∠L =
m ∠R =
m ∠RTV =
Answer:
you have to do that we don't know k sorry bro
A little help?!? Pleaseee
Answer:
I think no. Because degree is the sum all variables in first equation degree. Is14 but second equation degree not 14.
I need help with this one please and can yall explain this because I try to do but I can't just figure it out
Answer:
9
Step-by-step explanation:
because the FIM and LAK are similar, then
FI/LA=IM/AK=MF/KL
MF/KL=2/3
This means that each point where the two lines intersect is a
Answer: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.
I think this the answer♀️
What is the slope of the line represented by the equation y=-2/3-5x?
-5
-2/3
2/3
5
Answer:
-5
Step-by-step explanation:
y=-2/3-5x
Rewriting the equation in the form y = mx+b where m is the slope and b is the y intercept
y = -5x -2/3
The slope is -5 and the y intercept is -2/3
if y varies directly as x and y=32 when x=4. find the constant of variation
Answer:
k = 8
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 32 when x = 4, then
32 = 4k ( divide both sides by 4 )
8 = k
Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?
2 + p
2p
p minus 2
StartFraction p Over 2 EndFraction
Please Help!
Answer:
2p should be the correct answer!
Answer:
2p is the answer
Step-by-step explanation:
I took the answer edg2021
Which of the following shapes is concave?
OA)
OB)
OC)
OD)
Answer:
A is a concave polygon,....,.
Answer:
the answer will be A.
Step-by-step explanation:
HELP ILL MARK YOU BRAINLIST PLZ
Answer:
Step-by-step explanation:
Answer:
An = A + (n - 1) ×d
hope it helps
If a + b = c, which of the following statements is true?
c – a = b
b – c = a
a – c = b
c + b = a
Answer:
c-a=b
Step-by-step explanation:
Givereasons
a) The image gives all the details of an object.
b) The shadow of a translucent material is not clear.
Answer:
a
Step-by-step explanation:
A rectangular prism has a volume of 360 in3. If the height measures 6in. which base measurements could the prism have?
Answer:
Both sides that are parallel ( 6 inches I believe ) would be 12 in total for both sides. Then the top and bottom would be 3 inches ( I believe ) which would be 6. I think you need to do 6 times 12 until you get 360 and then see how many times you multiplied it and that is your answer. But I am not FULLY sure. Hope this helps somehow!
Step-by-step explanation:
How many pieces of ribbon can you cut from 10 meters, if each piece is 4
cm long?
Answer:
answer:250 pieces
1 metre=100cm so
10metres =100*10 =1000cm
each piece is 4 CM long, so.,
no. of pieces=1000/4
by dividing by 2....
=500/4
again by dividing by2...
=250/1=250 pieces
so 250 pieces of ribbon can be cuttted from 10 metre long ribbon.
