Answer:
23
Step-by-step explanation:
x + y = 47
2x + 3y = 100
Solving steps
x + y = 47 (-2)
2x + 3y = 100
We multiply the first equation by -2. This is so that x changes to -2x (So it would match the x below). We can then cross it over, since the equation below has 2x and -2x + 2x = 0.
-2x - 2y = -94
2x + 3y = 100
Y = 6
We get y = 6 by subtracting -2y (From the above equation) from 3y. This gives us Y. Afterwards, We subtract -94 (From the above equation) from 100 and that gives us 6. Therefore, y = 6.
To get x. We sub in the value for y into one of the equations and solve.
2x + 3(6) = 100
2x + 18 = 100
We bring over 18 from one side to the other, to get x alone. We have to change 18 to - 18 because it crosses over to the other side.
2x = 100 - 18
2x = 72
x = 72÷2
x = 36.
X = 36
Y = 6
(36, 6)
PLZ help me i need the answer asap 7th grade math
Answer:
43.98
Step-by-step explanation:
2(pi)(7)=43.98
2(pi)(r)
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
what is m3 + 9n when m = 4 and n = 5
Escribir un numero entero que represente cada una de las expresiones a. Un globo aerostatico 200 m sobre el nivel del mar. b. 500 años antes de cristo. c. Una deuda de L. 600.00 d. 7 minutos de retraso e. 2 grados bajo cero f. El delfin salto 4 metros sobre el nivel del mar.
Answer:
a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].
Step-by-step explanation:
a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].
b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].
c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].
d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].
e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].
f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].
SOMEONE PLEASE HELP ME AND ANSWER THIS QUESTION CORRECTLY I WILL MAKE YOU THE BRAINLIEST, GIVE YOU A GOOD RATE, PLEASE ASWER THIS ASAPPPPPPPPP!!!!!!!!!!! I NEED HELP ASAPPPPPPPPPPP!!!!!!!!!!
Answer:
30 10 4
Step-by-step explanation:
Give Brainliest
What is the GCF of 45x^5
and
36x^9
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so
In ionic bonding, it tends to do which of the following
Answer:
Transfer of electrons
Form Crystals
High boiling & melting points
Dissolve in water
Good conductor of electricity
If line a and line b are parallel, which angles are same-side Interior angles?
A.23 and 211
B. 28 and 23
C. 27 and 23
D. none of these
Answer:
i think its C. 27 tp 23 ****Which expressions are equivalent to 3(6+b)-(2b+1)
Answer:
The answer is b+17
Step-by-step explanation:
Find the slope .
What does this mean?
Find the y intercept.
What does this mean?
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
write an equation of the line perpendicular to the given line that contains P in point slope form? P (4,8) y=4x-7
Answer:
y - 8 = -1/4(x - 4)Step-by-step explanation:
Perpendicular lines have negative-reciprocal slopes.
The line contains point P(4, 8)
Point slope form:
y - y₁ = m(x - x₁)Given line:
y = 4x - 7The slope of the perpendicular line is m = -1/4.
The line in point-slope form is:
y - 8 = -1/4(x - 4)Answer:
y - 8 = -1/4(x - 4)
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.
Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)
y - y₁ = -1/4(x - x₁)
To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.
y - 8 = -1/4(x - 4)
This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)
Hope this helps!
what is the value of the expression -3y/x
when x = 12 and y=-8
Step-by-step explanation:
here is your answerr.
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
Simplify the following expression. (52x + 61y) + (-6x + 47y)
Answer:
46x + 108y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(52x + 61y) + (-6x + 47y)
Step 2: Simplify
Combine like terms (x): 46x + 61y + 47yCombine like terms (y): 46x + 108yMrs. Brownstone brought 56 liters of juice for the fifth grade party. How many milliliters of juice did she bring?
Answer:
56000 milliliters
1 liter = 1000 milliliters
56(1000)=56000
Step-by-step explanation:
For the equation: 4x+y=10 what does x equal if y=-6?
Answer:
x = 4
pls mark as brainliest...
Answer:
x=4
Step-by-step explanation:
4x+y=10 then, plug in y
4x+(-6)=10 then, isolate x by adding 6to both sides,
+ 6 +6 then, divide by 4 on each side
4x/4=x
16/4=4
x=4
A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?
Answer: 1/2
Step-by-step explanation:
There are 8 movies in total.
4 of those movies are romance movies.
The probability of picking a romance movie is the proportion of romance movies to the total number of movies.
= Number of romance movies / Number of total movies
= 4 / 8
= 1 / 2
Answer:
1/2
Step-by-step explanation:
The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of
75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent
chaperones have signed up and this is enough to satisfy the requirement, how many students must
be in the 8th-grade class?
Pls answer with an equation
Answer:
There needs to be 174 Students in the 8th grade class.
Step-by-step explanation:
173(1/3) is 58
58+17=75
can anyone solve this
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
solve CORRECTLY for brainly and 20 points
Answer:
k/4 + 3 = 14
k = 44
Step-by-step explanation:
Step 1: k + 12 = 56
Step 2: k = 56 - 12
Step 3: k = 44
Multiply both sides of the equation by 4Subtract from both sidesSubtract 12 from 56 to get 44Answer:
The answer are
t=4
f=4
e=2
k=44
a=-4
n=11
The first step in solving 3+7(x-5)=2x+16 is to
Multiply out the things in the brackets.
3+7(x+5)=2x+16
3+7x+35=2x+16
Bring the x's over to one side and the numbers to the other side.
7x-2x=16-35-3
5x= -22
Factor completely by grouping: 6x² + 2x + 9x +3
is
Answer:
(2x+3)(x+1)
Step-by-step explanation:
6x² + 2x + 9x +3
(6x² + 2x) + (9x +3)
2x (x+1) + 3 (x+1)
(2x+3)(x+1)
Answer:
(3x+1) ( 2x+3)
Step-by-step explanation:
6x² + 2x + 9x +3
Make the groups
6x² + 2x + 9x +3
Factor 2x out of the first group and 3 out of the second group
2x( 3x+1) + 3(3 x+1)
Now factor out the common term inside the parentheses
(3x+1) ( 2x+3)
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer: 120cm
Step-by-step explanation:
A person walks 1/3 of a mile every half hour. How far
would the person walk in 2
hours?
Answer:
1 1/3 miles
Step-by-step explanation:
1/3 is for a half-mile, so double it to 2/3 for one mile.
Now double it again for two hours.
2/3 + 2/3 = 1 1/3 miles in two hours
Answer:
The person will walk 1 1/3 miles in 2 hours.
Step-by-step explanation:
There are 4 half-hours in 2 hour
1/3*4=4/3 or 1 1/3 miles
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
Answer:
1424.81 square meters
Step-by-step explanation:
20.21 m * 70.5m = 1424.805 square meters
So then you round it to the nearest hundredth so then..
1424.81 square meters
Step-by-step explanation:
A of a parallelogram = Base ×height
= 20.21×70.5= 1424.805m
nearest hundreth = 1424.81 m
divide the product of d and 6 by 4
Answer:
d/24
Step-by-step explanation:
hi help again lol :)
Answer:
Please mark brainleiest
Step-by-step explanation:
Answer is B
Step-by-step explanation:
B if you divided all the y values by x you will get 0.9
Help with math
Find CE.
Answer:
6
Step-by-step explanation:
if DB equal to 6 then look down at CE, it has the same distance as D to B so CE equal to 6.
9514 1404 393
Answer:
CE = 10
Step-by-step explanation:
Assuming BC is parallel to DE, that segment divides the sides proportionally.
CE/CA = BD/BA
CE/25 = 6/15
CE = 25(6/15) . . . . multiply by 25
CE = 10