Answer:
One solution
Step-by-step explanation:
5x + y = 8
15x + 15y = 14
Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form
So we solve for "y" in the equation "5x + y = 8"
5x + y = 8
Step 1: Subtract 5x from both sides.
5x + y − 5x = 8 − 5x
Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped
y = −5x + 8
Now we can solve using substitution:
We substitute "-5x + 8" into the equation "15x + 15y = 14" for y
So it would look like this:
15x + 15(-5x + 8) = 14
Now we just solve for x
15x + (15)(−5x) + (15)(8) = 14(Distribute)
15x − 75x + 120 = 14
(15x − 75x) + (120) = 14(Combine Like Terms)
−60x + 120 = 14
Step 2: Subtract 120 from both sides.
−60x + 120 − 120 = 14 − 120
−60x = −106
Divide both sides by -60
[tex]\dfrac{ -60x }{ -60 } = \dfrac{ -106 }{ -60 }[/tex]
Simplify
[tex]x = \dfrac{ 53 }{ 30 }[/tex]
Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"
[tex]\mathrm{So\:it\:would\:look\:like\:this:\ y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]
[tex]\mathrm{Now\:lets\:solve\:for\:"y"\:then}[/tex]
[tex]y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]
[tex]\mathrm{Express\: -5 \times \dfrac{ 53 }{ 30 }\:as\:a\:single\:fraction}[/tex]
[tex]y = \dfrac{ -5 \times 53 }{ 30 } +8[/tex]
[tex]\mathrm{Multiply\:-5 \:and\:53\:to\:get\:-265 }[/tex]
[tex]y = \dfrac{ -265 }{ 30 } +8[/tex]
[tex]\mathrm{Simplify\: \dfrac{ -265 }{ 30 } \:,by\:dividing\:both\:-265\:and\:30\:by\:5} }[/tex]
[tex]y = \dfrac{ -265 \div 5 }{ 30 \div 5 } +8[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]y = - \dfrac{ 53 }{ 6 } +8[/tex]
[tex]\mathrm{Turn\:8\:into\:a\:fraction\:that\:has\:the\:same\:denominator\:as\: - \dfrac{ 53 }{ 6 }}[/tex]
[tex]\mathrm{Multiples\:of\:1: \:1,2,3,4,5,6}[/tex]
[tex]\mathrm{Multiples\:of\:6: \:6,12,18,24,30,36,42,48}[/tex]
[tex]\mathrm{Convert\:8\:to\:fraction\:\dfrac{ 48 }{ 6 }}[/tex]
[tex]y = - \dfrac{ 53 }{ 6 } + \dfrac{ 48 }{ 6 }[/tex]
[tex]\mathrm{Since\: - \dfrac{ 53 }{ 6 }\:have\:the\:same\:denominator\:,\:add\:them\:by\:adding\:their\:numerators}[/tex]
[tex]y = \dfrac{ -53+48 }{ 6 }[/tex]
[tex]\mathrm{Add\: -53 \: and\: 48\: to\: get\: -5}[/tex]
[tex]y = - \dfrac{ 5 }{ 6 }[/tex]
[tex]\mathrm{The\:solution\:is\:the\:ordered\:pair\:(\dfrac{ 53 }{ 30 }, - \dfrac{ 5 }{ 6 })}[/tex]
So there is only one solution to the equation.
5*5(5000/50)^5
What is the answer
Answer:
312500000
Step-by-step explanation:
7x-14=2x+11
X=?
(step by step)
Answer:
7x-14=2x+11
Step-by-step explanation:
Collect like terms
7x-2x=11+14
5x=25
Divide both sides by the coefficient of x(5).
x=25/5
x=5
Answer:
x=5
Step-by-step explanation:
The first thing we need to do in this equation is to get both of the x variables on the same side.
How do we do this you might ask? Well, need to cancel out the 2x so all we have left is one x variable. We can do this by subtracting 2x from each side.
The important thing to remember when solving equations like these is that whatever you do to one side, you MUST do to the other side.
2x-2x is 0 so that cancels out the 2x on the right side. 7x-2x=5x so we are left with that for our left side.
Now, we have to get rid of the constants (the non-variable numbers)
Let’s cancel out the 14 on the left side so the x is still by itself.
Add 14 to -14 to cancel it out. Do the same to the right side. 14+11=25 so that 25 is what we are left with on the right side.
Our equation becomes 5x=25
Now we have to completely isolate the x with no coefficient. We do this by dividing 5 by each side. But remember the rule, whatever you do to one side, you must do to the other. So we divide 25 by 5 as well.
5x/5 is x and 25 divided by 5 is 5
So our final answer is…
X=5
Hope this helped and please award brainliest.
Have a great day!
helppppppppppppppppppppppppp
Answer:
[tex]\frac{8}{5}[/tex]
Step-by-step explanation:
8 cookies being divide by tia and 4 friends
tia and 4 friends = 5 people
what expression has the value of 36
Answer:
there's nothing there
Step-by-step explanation:
i don't know what the question is here
1. since A^2= 36x^2, a=?
2. since b^2= 49, b=?
Answer:
D
Step-by-step explanation:
36x² - 49 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
then
36x² - 49
= (6x)² - 7²
= (6x - 7)(6x + 7)
Thus 6x - 7 is a factor of the expression
We need to simplify the expression 36x² - 49 , but let's recall the identity which is the main key to solve this question i.e
[tex]{\boxed{\bf{a^{2}-b^{2}=(a+b)(a-b)}}}[/tex]So , here we can write the above expression as
[tex]{:\implies \quad \sf (6x)^{2}-(7)^{2}}[/tex]
Now , using the above identity this can be written as :
[tex]{:\implies \quad \sf (6x-7)(6x+7)}[/tex]
So , here both (6x-7) and (6x+7) are factors of 36x²- 49 , but in the options their is only 6x - 7.
Hence , Option D) 6x - 7 is correct
As here , 36x² = (6x)² = a² , so a = 6x and as 49² = 7² = b² , so b = 7
Using the Eyeball Test, what is the BEST method to use to solve the following system? y= 2x - 4 y = 3x - 7
Answer:
substitution
Step-by-step explanation:
where you do: 2x - 4 = 3x - 7 because they both equal y
2. A bike costs
A
$650. During,
Sale it is marked
Idown 35%. What is
the sale price of the
bike?
Answer:
$422.5
Step-by-step explanation:
Original price: $650
New sale price:
$ 650x(1-35%) = $422.5
Figure J, the small quadrilateral, was dilated with the origin as the center of dilation to create Figure K, the large quadrilateral.
Which rule best represents the dilation that was applied to Figure J to create Figure K?
!you can open the image in a new tab to make it bigger!
Answer:
(x, y) -> (2.5x, 2.5y)
Step-by-step explanation:
To find which equation is correct, first, let's find a similar point of Figure J and Figure K.
Figure J: (-3, -2). Figure K: (-7.5, -5)As you can see, Figure J was enlarged by a SF of 2.5 because -3 x 2.5 = -7.5, and -2 x 2.5 = -5.
Therefore, the answer is (x, y) -> (2.5x, 2.5y).
Give 4 reasons to get a pug, and 4 to get a papillion
Answer:
Pugs are natural cuddlers.
Pugs tend to be smart, observant, and quick learners. ...
Pugs are relatively low-maintenance.
With pugs, a little exercise goes a long way.
Pugs get along well with other animals
Step-by-step explanation:
please mark me as brainlist
Answer:
Her answer is right .... ....
find the distance between the pair of points (10,25) and (-17,9)
Answer:
31.4
Step-by-step explanation:
Answer:
31.4 or Just 31 if it must be a whole number
Explanation Below:
Find the product of 2x^(4x² + 3x + 1). (1 point)
O Bx + 6x² + 2x
O 8x + 3x² + 2x
O 2x + 6x + 8x8
O 6x² + 5x² + 3x
Answer:
A - 8x + 6x² + 2x
Step-by-step explanation:
source: trust me bro
A pet store kept their hamsters in cages with 6 per cage. For their Christmas sale they put out 6 cages and end
up selling ait but 9 hamsters. How many hamsters did they sell during their Christmas sale?
Answer:
The answer would be 27
Step-by-step explanation:
If it is 6 per cage that would mean it is 6 times 6 (since they put out 6 cages) which is 36. They sold all but 9. The question is askin how many hamsters did they sell. So you would do 36-9 which is 27
Find the measures of the interior angles of the triangle. Find A, B,C
Answer:
A 48 degrees B 88 degrees C 44 degrees
Step-by-step explanation:
All the sides of a triangle add up to 180 degrees.
Subtract the known side from 180. 180-48=132 degrees. That means 132 degrees is the total size of the unknown two angles. You can write that like this:
132=x+(x-44)
Simplify
132=2x-44
add 44
176=2x
Divide by 2
x = 88 degrees.
Now we know that angle B is 88 degrees. Now we just have to find angle C, which will be simple now that we know what x equals.
X-44
88-44
44 degrees
In order to increase the cicumference of a circle from 12 pi to 18 pi, by how much must the diameter increase
The diameter must increase by ___ cm
Answer:
12 and 18 would be the diameter
Step-by-step explanation:
the circumference of a curcle is pi x diameter
so the difference is 6, which is the difference between 12 and 18
What is the greatest common factor (GCF) of 15 and 6x?
Answer:
3
Step-by-step explanation:
Factors of 15: 1, 3, 5, 15
Factors of 6x: 1, 2, 3, 6, x
Therefore, the greatest common factor (the highest factor that they both share) is 3
Factor = f
——————
f15 = 1, 3, 5, 15
f6 = 1, 2, 3, 6, x
So the answer is 1 and 3, but we need to give the answer from the highest number. The highest number is 3.
#CarryOnLearning
#LibreAngMatuto
What are the possible names of the angle shown here? Select all that apply.
Answer:
i think you forgot to attach a model...
Step-by-step explanation:
Please help!!!!
Trigonometry
Find the value of aBc
Compound shape
Answer:
∠ ABC = 75°
Step-by-step explanation:
using the sine ratio in right Δ ABD
sin ABD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AD}{AB}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex] , then
∠ ABD = [tex]sin^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 30°
Using the sine ratio in right Δ CBD
sin CBD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{3}{3\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] , then
∠ CBD = [tex]sin^{-1}[/tex] ( [tex]\frac{1}{\sqrt{2} }[/tex] ) = 45°
Then
∠ ABC = ∠ABD + ∠ CBD = 30° + 45° = 75°
The basic wage earned by a truck driver for a 40-hour week is $560. 0. A) Calculate his hourly rate. For overtime work, the driver is paid one and a half times the basic hourly rate. Calculate his overtime wage for 10 hours of overtime
Answer:The basic wage earned by the truck driver for 40 hours of work is $560. The hourly rate can be calculated from this. It is equal to 560/40 = $14.
Step-by-step explanation:
3. Felicia borrowed $1,000 from her bank at a monthly interest rate of 2%. If she paid back the loan after 4
months, how much money did she pay back? Show your work
Answer:
80
Step-by-step explanation
(1000)(4)(2%)
80
I WILL GIVE BRAINLIEST:
1. Please explain
2. Show your answer
Answer:
Measure of side a: 9
Measure of side b: 12
Measure of side c: 15
Side a/c: 9/15 = 3/5
Side b/c: 12/15 = 4/5
Side a/b: 9/12 = 3/4
Step-by-step explanation:
Help please important
Answer:
138°
Step-by-step explanation:
X = 180° - 42° [Sum of angles in a triangle]
X = 138°
Answer: 48 degrees.
Step-by-step explanation: The key to finding a missing interior angle is to have all the angles add up to 180. The corner with the square means that the angle is 90 degrees. An angle has been provided, which is 42 degrees. Now, we can add 42 and 90, and you have 132 degrees so far. Now, we need to subtract 132 from 180 and we have 48 degrees. That is your value of x.
Have a great day! :)
really need help with Dilations in the Coordinate Plane
Answer:
I'd say (x,y) --> (2x,2y)
Step-by-step explanation:
Please understand if I'm wrong because I couldn't enhance the image. The quality made it a bit hard for me to accurately tell.
Sorry if I'm wrong.
A store display will have 6 rows, with 12 containers in each row.
If 39 containers has been set up so far, explain how to find the
number of containers that still need to be set up. Then solve the
problem
Answer:
A total of 72 containers need to be set up. If 39 are already placed then there are 33 left. You multiple the number of rows by the number of containers per row to find your total and subtract what has already been done.
Find the area of the shaded segment
Could someone please give me a step by step explanation as well please and thank you very much :)
Answer:
Area = l × w
= 18 × 10
= 180 centimeters2
Step-by-step explanation:
5+(3×n)=5
Which value of n makes the number sentence true?
1
0
−3
−5
Answer:
0 makes the statement true.
explanation:
5+(3×n)=5
5 + 3n = 5
3n = 5 - 5
3n = 0
n = 0
check:
5+(3×0) = 5
5 + 0 = 5
5 = 5
Both sides equal, therefore statement true.
Find the Mean
34,39,40,47,
Answer:
40
Step-by-step explanation:
34+39+40+47=160
160/4=40
Hope this helps :)
[tex]\\ \rm\rightarrowtail Mean=\dfrac{\sum n}{n}[/tex]
[tex]\\ \rm\rightarrowtail Mean=\dfrac{34+39+40+47}{4}[/tex]
[tex]\\ \rm\rightarrowtail Mean=\dfrac{160}{4}[/tex]
[tex]\\ \rm\rightarrowtail Mean=40[/tex]
Steven has a bag of 20 pieces of candy. Five are bubble gum, 8 are chocolates, 2 are fruit chews, and the rest are peppermints. If he draws one piece of candy what is the probability that it will be chocolate?
Answer:
8/20
Step-by-step explanation:
This answer is 8/20 because they’re only 8 chocolates in the whole bag. So it is the amount you have over the total.
Secre
PAAS Congruence Theorem (Angle-Angle-Side): if two angles and the non-included side
of one triangle are congruent to the corresponding parts of another triangle, the
triangles are congruent.
1.
Prove that AMNO is congruent to AXYZ using triangle congruency theorems.
M
Given: ZM 2X
UN E ZY
YO NZ
Prove: AMNO ZAXYZ
Answer:
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints are (6,9) and (2,5).
Answer:
x + y = 11
Step-by-step explanation:
The perpendicular bisector goes through the midpoint of the segment and has a slope that is the opposite reciprocal of the slope of the segment. The midpoint is ...
M = (A+B)/2 = ((6, 9) +(2, 5))/2 = (6+2, 9+5)/2 = (8, 14)/2
M = (4, 7) = (Mx, My)
The slope can be found from the differences of the coordinates of the two points:
(Δx, Δy) = (2 -6, 5 -9) = (-4, -4)
Factoring out -4, this becomes
(Δx, Δy) = (1, 1)
__
These values can be used directly to form the equation of the perpendicular line:
(Δx)(x -Mx) +(Δy)(y -My) = 0
1(x -4) +1(y -7) = 0
x + y = 11 . . . . . . . . . add 11 and simplify
___
Additional comment
Using "standard form" for the equation, we don't actually need the value of the slope. If you were to use point-slope form or slope-intercept form for the equation of the line, then you would need to know the slope of the segment is ...
m = Δy/Δx = 1/1 = 1
and the slope of the perpendicular is ...
m' = -1/m = -1/1 = -1
_____
To read more about perpendicular bisectors, see ...
https://brainly.com/question/26903617
Mr Radebe has a cube bathroom with a height of 3 m. What is the volume of his bathroom?
Answer:
The volume is 27 meters
Step-by-step explanation:
Since a cube is literally a square, all sides are equal.
The formula for the volume is Length*width*height
(3*3*3)
3*3*3=27