Answer:
(1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-4x + 9y = 14
12x - 10y = -8
Step 2: Rewrite Systems
-4x + 9y = 14
Multiply everything by 3: -12x + 27y = 42Step 3: Redefine Systems
-12x + 27y = 42
12x - 10y = -8
Step 4: Solve for y
Elimination
Combine 2 equations: 17y = 34Divide 26 on both sides: y = 2Step 5: Solve for x
Define equation: 12x - 10y = -8Substitute in y: 12x - 10(2) = -8Multiply: 12x - 20 = -8Isolate x term: 12x = 12Isolate x: x = 1Step-by-step explanation:
HERE,
two equation are,
●-4x+9y=14••••••••••••(equation I)
●12x-10y=-8•••••••••••(equation II)
First multiplying 3 in equation I
we get,
[tex]\bold{3×(-4x+9y=14) }[/tex]
=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)
Then,
we combine the equationii and equation III.
we get that,
[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]
[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]
Then,
put the value of y in equation II.
WE get,
[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]
So,
solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)
Find the missing side length
How many grams are there in 55 kilograms? O A. 550 g O B. 5,500 g O C. 55,000 g O D. 550,000 g
can someone please help me :(
Answer:
The answer is C. 55,000
Step-by-step explanation:
Hope this helps ;)
Can you help meh answer for brianliest
Answer:
1st One- 1 13/30
2nd One- 1 13/20
3rd One- 1/6
Step-by-step explanation:
Because yes
Answer:
1 13/30 1 13/20 1/6
Step-by-step explanation:
because i am smart
How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?
Answer:
Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.
Step-by-step explanation:
What is two thirds minus one fifth?
Answer:
7/15
Step-by-step explanation:
First, we have to make the bottom part the same:
2/3 - 1/5 = 10/15 - 3/15
10 - 3 = 7 = 7/15
PLEASE ANSWER I WILL MARK AS BRAINLIEST
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
The expression to represent the net yardage is 30.5x+12.9y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.
Now, net yardage
= 25x+0.9y+12y+5.5x
= 30.5x+12.9y
Therefore, the expression to represent the net yardage is 30.5x+12.9y.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
PLS I NEED HELP ASAP!! WILL GIVE BRAINLIEST
Answer:
x over 2
Step-by-step explanation:
Sam plans to double his savings each day. He starts
with $0.03 in his account. How much will be have saved
after 30 days?
Answer:
$32212254.72Step-by-step explanation:
Initial value = $0.03Increase rate = 2 times each dayTime = 30 daysSaving amount after 30 days:
$0.03*2^30 = $32212254.722 brownies where shared by 3 friends, how much do they get
Answer: 1.5
Step-by-step explanation: you just have to divide 3÷2 and you will get 1.5
Wrong answers will be reported.
2cos120°-x sin120°. cos180°= x tan150°
Answer:
[tex]2cos120°-x sin120°. cos180°= x tan150° \\ 2( - \frac{1}{2} ) - x( \frac{ \sqrt{3} }{2} ) \times ( - 1) = x{\frac{ \sin( 150°)}{ \cos(150°)}} \\ ( - \frac{2}{2} ) - \frac{ \sqrt{3} }{2}x \times ( - 1) = x \frac{ \frac{1}{2} }{ - \frac{ \sqrt{3} }{2} } \\ - 1 - ( - \frac{ \sqrt{3} }{2}x) = x( \frac{1}{2} \times ( - \frac{2}{ \sqrt{3} } )) \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{2}{2 \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x =( \frac{ \sqrt{3} }{ \sqrt{3} } )( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = - \frac{ \sqrt{3} }{3} x \\ 6( - 1 + \frac{ \sqrt{3} }{2} x) = 6( - \frac{ \sqrt{3} }{3} x) \\ - 6 + \frac{6 \sqrt{3} }{2} x = - \frac{6 \sqrt{3} }{3} x \\ - 6 = \frac{ - 6 \sqrt{3} }{3}x - \frac{6 \sqrt{3} }{2} x \\ - 6 = (- 2 \sqrt{3})x - (3 \sqrt{3})x \\ - 6 = - 5 \sqrt{3} x \\ x = \frac{ - 6}{ - 5 \sqrt{3} } \\ x = \frac{ 6}{5 \sqrt{3} } \\ x = \frac{6}{5 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ x = \frac{6 \sqrt{3} }{5 \times 3} \\ x = \frac{2\sqrt{3} }{5} [/tex]
Answer:
(2√3 )/5is he value of x.thank you.
Can snag one help me will mark branliest
Answer:
20/5
36/2
16/6
10/5
24
Step-by-step explanation:
didnt have the square root on my key board
?????????????????????????????
Answer:
92°=180°/y° I think this is correct
Please help!! I will mark you brainliest
Answer:
8x-3=5x+6
Step-by-step explanation:
8x-3=5x+6
3x=9
x=3
-12(x + 6.2) = 60 what does x equal
Answer: its 11.2 my good sir
Step-by-step explanation:
Im jsut smort trust me its right
URGENT PLEASE HELP Enter the value of (1/2) (-8) (4). Use the on-screen keyboard to enter the value in the box below.
Answer:-16
Step-by-step explanation:
-16 bc it is what it is
will give brainliest
9 feet hope this helps!!! :D may i have brainliest?
Someone please help me with thiss
Answer:
The total trip will be 4 hours long.
Step-by-step explanation:
The length of the trip decreases by 65/2 miles for every half hour. So in 2 half hours (or 1 hour), Aubree would have traveled the last 65 miles she needed.
You have a chocolate chip cookie recipe for 60 cookies that calls for 4 cups of chocolate chips. How many cups of chocolate chips are needed for 24 cookies?
Answer:
1.6 cups
Step-by-step explanation:
60 cookies= 4 cups chocolate chips
1 cookie=0.66666666
24 cookies=1.6 cups
i hope i helped<3
lina works as a tutor for $15 an hour and as a waitress for $10 an hour. This month she worked a combined total of 103 hours at her two jobs. let t be the number of hours lena worked as a tutor this month. write and expression for the combined total amount she earned this month.
Answer:15t + 10x = 103
Step-by-step explanation:
t = tutor hours
x = waitress hours
Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned. a. How many peanut butter cookies does Fred have left to sell?
Answer: 12 peanut butter cookies
Step-by-step explanation:
Fred had made 10 dozen cookies which means he made:
= 10 * 12
= 120 cookies
Out of those, 1/4 were peanut butter:
= 120 * 1/4
= 30 peanut butter cookies
He burned 3/5 of the peanut butter cookies:
= 30 * 3/5
= 18 cookies were burnt
The amount let is therefore:
= 30 - 18
= 12 peanut butter cookies
In a certain chemical, the ratio of zinc to copper is 3 to 13 . A jar of the chemical contains 585 of copper. How many grams of zinc does it contain?
Answer: 135 grams of Zinc
Step-by-step explanation:
The ratio of Zinc to Copper in this scenario is 3:13 and in this jar there is 585 of Copper.
Using direct proportion, the grams of Zinc in the jar is:
3 : 13
x : 585
Cross -multiplying will give:
1,755 = 13x
x = 1,755/13
x = 135 grams of Zinc
can somebody help me??
Answer: two solutions and
Step-by-step explanation:
BlacIf w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1?
(-2) 2 - (-8) + 1
(-2) 2 - (8) + 1
-2 2 - (-8) + 1
-2 2 - 8 + 1
Answer:
-2² - (-8) + 1
Step-by-step explanation:
The values given are:
w = -2 and v = -8
Expression given:
w² - v + 1
When we substitute, we put a certain value in place of another. In an equation, variables are used as placeholders.
For this problem:
w = -2
v = -8
So;
-2² - (-8) + 1
Answer:
Given that w=-2 and v=-8
The expression is w²-v+1
Now putting the value of w=-2 and v=+8 in the given expression, we get
(-2)²-(-8)+1
Hence, (-2)²-(-8)+1 is the right answer.
I need help with this asap plzzz&thank u!!
Answer:
94hhfgkifc llo gfc bbn jdcjkydcjkufv
help me or dont lol but please help me
I need help I don't understand
Answer:
Step-by-step explanation:
Angle LPR and Angle PLN are supplementary to one another
9x+26+5x=180
Combine like terms
14x+26=180
Subtract 26 from both sides
14x=154
Divide 14 on both sides
x=11
Hope it helped :))
The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.
A.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –23; n + 4 = –25; n + 6 = –27
B.
n + (n – 2) + (n – 4) + (n – 6) = –72; n = – 21; n – 2 = –23; n – 4 = –25; n – 6 = – 27
C.
n – (n + 2) – (n + 4) – (n + 6) = –72; n = –20; n + 2 = –18; n + 4 = –16; n + 6 = –14
D.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –19; n + 4 = –17; n + 6 = –15
Answer:
D. n+n+2+n+4+6= -72; n= -21; n+2= -19; n+4= -17; n+6= -15
There are 2 below and 2 above it.
-15, -17, -19, -21
Step-by-step explanation:
the sum of four consecutive odd integers is -72. write an equation to model this situation, and find the values of the four integers .
n + n+2 + n+4 + n+6 = -72
4n + 12 = -72
or
-72/4 = -18, the center
I NEED THIS RN PLEASE
Answer:
The answer is C, 3 to 2
Step-by-step explanation:
This is because 12 divided by 4 is 3 and 8 divided by 4 is 2 so yhe ratio is 3 to 2. Hope it helps.
25 members, Each student must pay an entry fee of $7.25 for a helmet fee. the total cost for the roller skate trip is $443.75. What is the entrance fee for one student?
Answer:
I believe the answer is $10.1 each
Step-by-step explanation:
Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.
I hope it help's
The point (2, -7) is reflected across the x-axis.
What are the coordinates of the image of the point?
Answer:
(2,7)
Step-by-step explanation:
When you reflect something across the X-axis, the y coordinate changes sign.