Step-by-step explanation:
[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]
Answer:
x= -5
Step-by-step explanation:
5y-z= -31, add z and 31 to both sides
5y+31 = z, substitute z in the other two given equations
2x - 2y+z=3
2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides
2x+3y = -28
x+ 3y + 2z = -21
x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis
x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides
x+13y = -83
Now we have 2 equations with 2 variables x and y to solve
2x+3y = -28
x+13y = -83
Because we need to find x then from the first equation we can write that
3y = -2x-28, subtract 2x from both sides and the divide both sides by 3
y = (-2x-28)/3, substitute this in the second equation
x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis
(3x/3)+[(-26x - 364) /3= -83, find the common denominator
3x+[(-26x - 364) = -83*3 , cross multiply
3x -26x = -249 +364, add 364 to both sides
- 23x = 115, divide both sides by (-23)
x= -5
a cretain 12- ounce soft drink contains about 10 teaspoons of sugar. if you drink 18 ounces of this soft drink, how many teaspoons of sugar have you consumed
Answer:
15 teaspoons
Explanation:
The ratio of soft drink to sugar is 12:10, when simplified it is 6:5 (divide by 2)
Since there's 18 oz of soft drink, we multiply 6 by 3, and because it's a ratio we must also multiply 5 by 3, which gets us 15.
18:15
Simplify the equation (3x³)⁴.....
....................
Answer:
(3x)¹²
Step-by-step explanation:
(3x³)⁴ is in form of (e³)⁴ which can be written as e³×⁴
= e¹²
so (3x³)⁴ can be written as (3x)¹²
Answer:
3x¹²
Step-by-step explanation:
According to the power rule of exponents, to simplify a power of a power, you multiply the exponents and keep the base the same. In this case, 3 and 4 are the exponents. 3 times 4 is 12. So the answer would be 3x to the power of 12.
(3x³)⁴
3x³*⁴
3x¹²
NEED HELP ASAP What is the equation of the function in standard form? WILL GIVE BRAINLYEST TO CORRECT ANSWER
Answer:
i can ans it
(-4,-1,-12)
For v = -3(r - 3) when r= -1, what does v equal
Answer: 12
Step-by-step explanation:
v = -3(-1-3)
v= -3(-4)
v= 12
Please help!!!!!
Solve for X
(Ignore the 4)
Answer:
[tex] \frac{3x + 1}{2} - 1 = 2x) \times 2 \\ 3x + 1 - 2 = 2x \\ 3x - 2x = 2 - 1 \\ x = 1 [/tex]
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]\frac{3x+1}{2}-1=x[/tex]
Add 1 to both sides:
[tex]\frac{3x+1}{2}-1+1=x+1[/tex]
[tex]\frac{3x+1}{2}=x+1[/tex]
Multiply both sides by 2:
[tex]\frac{3x+1}{2}\times \:2=x\times \:2+1\times \:2[/tex]
[tex]3x+1=x\times \:2+2[/tex]
Subtract 1 from both sides:
[tex]3x+1-1=x\cdot \:2+2-1[/tex]
[tex]3x=2x+1[/tex]
Subtract 2x from both sides:
[tex]3x-2x=2x+1-2x[/tex]
[tex]x=1[/tex]
_______________________
How many average points per game did Denver score?
how to find slope of (-7,3) and (5,6)
Answer:
The slope is 1/4
Step-by-step explanation:
y2-y1 6-3 3 1
m= —— = —— = —— = ——
x2-x1 5+7 12 4
Least common multiple of 168 and 76
Answer:
Best to draw out a factor tree.
Answer:
3192
this is the answer but if you need to show work then I can't help ya bud
(a−2b)3 when a=−4 and b=−1/2
Answer:
-9
Step-by-step explanation:
(-4-2*-1/2)3
(-4+1)3
-3*3
-9
Answer:
-27
Step-by-step explanation:
Hi there!
[tex](a-2b)^3[/tex]
Plug in the given information:
[tex](-4-2(\displaystyle -\frac{1}{2} ))^3\\\\(-4-(\displaystyle -\frac{2}{2} ))^3\\\\(-4+1)^3\\\\(-3)^3\\\\-27[/tex]
I hope this helps!
in football, the team that has the ball has four chances to gain at least ten yards. if they don't gain at least ten yards, the other team gets the ball. positive numbers represent a gain and negative numbers represent loss. select all of the sequences of four plays that result in the team getting the ball. A. 8, -3, 4, 21. B. 30, -7, -8, -12 C. 2, 16, -5, -3.
Answer:
A) would keep ball and end with ball
B) would get first down but lose ball if yards aren't gained
C) would get first down but lose ball if yards aren't gained
Step-by-step explanation:
this question really doesn't make sense, most would end with a first down and have one more play to make up
please help me with these. i do not understand how to do them.
if f(x)=-4x-5 and g(x)=3-x, what is f(5)?
Answer:
f(5)=
[tex] = 4x - 5 \\ = 4 \times 5 - 5 \\ = 20 - 5 \\ = 15[/tex]
Bella has a stack of 41 bills (ones, fives, and tens) in an envelope. She has 3 less tens than fives and the quantity of ones doubles the number of fives. Write and solve an equation to determine how many of each bill type she has
Answer:
x+(x-3)+(2*x)=41
Step-by-step explanation:
We know that the other two bills are based of of a constant value for fives. Therefore, the fives can be x. There are 3 less tens than fives, so the number of tens equals x-3. We double the number of fives to get the number of ones, so the number of ones equals 2 times x. When we add all 3 of those together, we get our total number of 41. If you want to solve, you have to solve for x, then you can plug it back into the formula. I hope this helps!
The value of coin A is twice the value of coin B. Together, the total value of the two coins is $30.00 What is the value of each coin?
HELP ME PLEASE AND HURRY
the sum of a rational number and a rational number is rational.
-ALWAYS true
-SOMETIMES true
-NEVER true
thae answer is something true
A map has a scale of 1 centimeter:8 kilometers.
Use the given actual distance to find the distance
on the map: 4 km
Answer:
Step-by-step explanation:
I think it is 29.3 I am really not sure.
I need help by the end of this class !!
Answer:
a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4=-10+14
plug 4 into y
multiply-2 with 5
When given the building layout of store a 2500ft2, store b 625ft2, store c 625ft2, store d 2500ft2, what portion of the $7500 maintenance fee should be apportioned to store c?
9514 1404 393
Answer:
$750
Step-by-step explanation:
The total store area in the building is ...
2500 +625 +625 +2500 = 6250 . . . . square feet.
Then the fraction that can be allocated to store C is ...
(625 ft²)/(6250 ft²) = 0.1
The maintenance fee allocated to store C should be ...
0.1 × $7500 = $750
PPL PLZ HELP!! I WILL GIVE BRAINILEST!!!
Step-by-step explanation:
to find the answer, you want to convert the fractions into decimals.
to do that, you need to divide 1 by the denominato then multiply by the numerator.
ex: 3/4
1÷4=0.25
0.25×3= 0.75
That will give you an idea where to put it in the number line.
hope it helped
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x = 102°
Step-by-step explanation:
a straight line = 180°
180 - 78° = 102°
Answer:
x°+78°=180°[supplementry angle]
x°=180°-78°
x°=102°
answer
Convert 150 degrees to radians.
Answer:
Option 2
Step-by-step explanation:
Radians = 150 × π/180
=5π/6
Which of the following is the correct factorization of the polynomial below? 2p^2 - 10pq+ 25q^2
A. (2p-5q)(p-5q)
B. (2p-5q)(p+5q)
c. (2p-5q)(2p² + 2q)
D. The polynomial is irreducible.
Answer:
answer is in the photo
Step-by-step explanation:
Victor has 2 times as many as trophies as Dean. Together , víctor and Dean have 27 trophies . How many trophies does víctor have?
Emma is planting 48 roses and 72 sunflowers. She wants to plant the same number of flowers in each row. But each row should have the same type of flower. What is the greatest number of flowers that can be planted in a row?
Answer:
She can plant 24 flowers in each row.
Step-by-step explanation:
Greatest common factor of 48 and 72 is 24
HELP PLEASE I NEED HELPPPP!!!!!!!!!!
two triangles is equal to 12 ft squared
the area of rectangles is equal to 8 ft x 6 ft which will give you 48 feet squared
you add them together to get the total area and you will get 84 feet sqaured
Alejandra quiere comprar lápices de color verde y morado. Los lápices verdes van en cajas de 100 unidades, mientras que los morados van en cajas de 40.¿Cuál es el mínimo número de cajas de cada color que debe comprar Alejandra para tener el mismo número de lápices de ambos colores?
2 CAJAS
3 CAJAS
4 CAJAS
5 CAJAS
A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. Each suit has 13 cards.
Count the number of ways in which four cards, each of a different face value, can be chosen.
Answer: 17160
Step-by-step explanation:
first there are 13 options
then there are 13 - 1 that was chosen
then there are 13 - 2 that were chosen
then there are 13 - 3 that were chosen
so that's 13 options, then 12 options, then 11 options, and then 10 options
and in order to figure out all of the possibilties we mutiply the options so
13*12*11*10 = 17160
little further explaining of why this works:
we have a set of letters (3 in a set)
A B C
what are the possible combinations?
AB
AC
BC
BA
CA
CB
the answer is 6 which is also 3 * 2 * 1 = 6
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
q = 19, s = 30, t = 7, v = 6, w = 10, x = 7.
What is a set ?A set is a collection of well defined objects.
According to the given question of Venn diagram given,
n(U) = 100, n(A∩B) = 14, n(A) = 40, n(B∩C) = 13, n(B) = 50, n(A∩C) = 14, n(C) = 30 and n(A∩B∩C) = 7.
t = n(A∩C) - n(A∩B∩C).
t = 14 - 7
= 7.
q = n(A) - [ n(A∩B) + t ]
q = 40 - ( 14 + 7 )
q = 40 - 21
q = 19.
v = n(B∩C) - n(A∩B∩C)
v = 13 - 7
v = 6.
s = n(B) - [ n(A∩B) + v ]
s = 50 - ( 14 + 6 )
s = 30.
w = n(C) - [ n(A∩C) + v ]
w = 30 - ( 14 + 6 )
w = 10.
We know x = n(U) - q - s - w - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C).
x = 100 - 19 - 30 - 10 - 14 - 13 - 14 + 7.
x = 7.
learn more about sets here :
https://brainly.com/question/18877365
#SPJ2
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .To find :-
The value of x .Solution :
In larger triangle :-
90 + y + y = 1802y = 180 - 90 2y = 90 y = 45°As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45x = 45/15 x = 3Tom must choose a number between 49 and 95 that is a multiple of 4, 7, and 14. Write all the numbers that he could
choose. If there is more than one number, separate them with commas.
Answer:
56;70;84
Step-by-step explanation: