Answers
To solve linear equations, we must perform inverse operations on both sides of the equal sign to cancel values out.
If something is being added to x, subtract it from both sides.If something is being subtracted from x, add it on both sides.Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.We perform inverse operations to combine like terms. This means to get x to one side and everything else on the other.
Solving the QuestionsQuestion 1[tex]5x+7=15[/tex]
Because 7 is being added to x, subtract it from both sides:
[tex]5x+7-7=15-7\\5x=8[/tex]
Because x is being multiplied by 5, divide both sides by 5:
[tex]\dfrac{5x}{5}=\dfrac{8}{5}\\\\x=\dfrac{8}{5}[/tex]
Therefore. [tex]x=\dfrac{8}{5}[/tex].
Question 2[tex]7x+4=5x-18[/tex]
Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:
[tex]7x+4-5x=5x-18-5x\\2x+4=-18[/tex]
To isolate x, subtract 4 from both sides:
[tex]2x+4-4=-18-4\\2x=-22[/tex]
Divide both sides by 2:
[tex]\dfrac{2x}{2}=\dfrac{-22}{2}\\\\x=-11[/tex]
Therefore, [tex]x=-11[/tex].
Related Questions
The Brown family has a 15 year old home loan. How many months is their home loan
Answers
Answer:
180 months
Step-by-step explanation:
15x12=180
Answer:
180 months
Step-by-step explanation:
15 (years)12 (months in a year)15x12=180 months totalHope I helped:)
-Adiel
what is the value of x
22x+-15=100
Answers
Answer:
X=115/22
Step-by-step explanation:
22x-15=100
22x=100+15
22x=115
X= 115/22
How do you do this problem?
Answers
Answer:
55°
Step-by-step explanation:
In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.
When you put another x in the angle next to the 37°, you get an equation similar to:
[tex]x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55[/tex]
x in this case will then be 55 degrees.
a recipe call for 3 cups of flour and 2 tablespoons of butter .How many tablespoons of butter would be needed if the amount of flour were increased to 12 cups
Answers
Answer:
8 tablespoons of butter.
Step-by-step explanation:
12/3= 4
4x2= 8
find x when f(X) =2 find x when f(x)=0
Answers
Answer:
in both equatons, x=1
Step-by-step explanation:
there is no x on the right side of the equation, so x never changes. it is 1.
Answer:
-1
Step-by-step explanation:
How many minutes will she need to finish labeling all books if she takes no breaks and labels 15 books a minute? *
Answers
Answer:
15 i think but im sry if i get it wrong
step-by-step explanation:
3/4(8x+12)+4/5(25x+20)
simplify quick please D:
Answers
Answer:
26x + 25
Step-by-step explanation:
3/4(8x + 12) + 4/5(25x + 20)
Distribute
3/4(8x) + 3/4(12) + 4/5(25x) + 4/5(20)
24/4x + 36/4 + 100/5x + 80/5
Reduce the fractions
6x + 9 + 20x + 16
Combine like terms
26x + 25
How to get 24 by integers
Answers
Answer:
There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.
Step-by-step explanation:
Which of the following is a perfect square?Single choice.
a) 1057
b) 625
c) 7928
d) 64000
Answers
Answer:
b. 625
Step-by-step explanation:
you just have to find the square root
which is 25
the rest have decimals
solve the equation 2(x+3)=X-4
Answers
Answer:
x = -10
Step-by-step explanation:
2(x + 3) = x - 4
2x + 6 = x - 4
x = -10
What is the equation of the line that passes through the point (-6,-5) and has a slope of 3/2?
Answers
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = the slopeb = the y-interceptTo find linear equations, we must solve for m and b and substitute them into slope-intercept form.
Solving the Question
We're given:
Passes through the point (-6,-5)m = [tex]\dfrac{3}{2}[/tex]Input the slope into slope-intercept form:
[tex]y=mx+b\\\\y=\dfrac{3}{2}x+b[/tex]
Solve for the y-intercept by inputting the given point (-6,-5):
[tex]-5=\dfrac{3}{2}(-6)+b\\\\-5=-9+b\\\\4=b[/tex]
Therefore, the y-intercept is 4. Plug this back into our original equation:
[tex]y=\dfrac{3}{2}x+4[/tex]
Answer[tex]y=\dfrac{3}{2}x+4[/tex]
Your revenue goal for January is $40,000, and you have booked $31,000 thru January 25. What average nightly revenue do you need for the remainder of January?
Answers
Answer:
$1500
Step-by-step explanation:
January has 31 days, so after day 25 there are 6 days left. You still need $9000. 9000/6=1500.
A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 71% with a standard deviation of 12% on their final exams. His afternoon classes average 78% with a standard deviation of 8%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
Answers
Answer:
0.3137 ; 0.2228
Step-by-step explanation:
Given a normal distribution :
Morning class :
Mean(Mm) = 71%
Standard deviation (Sm) = 12%
Afternoon class:
Mean(Ma) = 78%
Standard deviation (Sa) = 8%
M = Mm - Ma = (71 - 78) = - m7
S = √Sm + Sa = √12² + 8² = √208
A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class?
P(morning > afternoon) = p(morning - afternoon > 0)
Using:
Z = (0 - (-7)) / S
Z = 7 / √208
Z = 0.4853628
P(Z > 0.49) = 0.3137
B)
What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class?
Using:
Z = (4 - (-7)) / S
Z = 11 / √208
Z = 0.7627127
P(Z > 0.49) = 0.2228
A grocery orders 4 large containers of milk for every 7 small containers of milk.Which ratio could present the number large containers of milk to small containers of milk in an order from the grocery store?
Answers
Answer:
4 : 7
Step-by-step explanation:
Solve the inequality.
7(2 − x) − 4(2 − 3x) > 2
The solution is
Please help ASAP
Answers
Tony had $z. He lost $3.
a) Write an algebraic expression for the amount he has left.
Answers
Answer: T = z - 3
Step-by-step explanation: "T" represents the total amount of money he has left, so T = z [Whatever amount he had to begin with] - 3 [The amount he lost]. Hope that this helps!
Another way to show this equation is with the slope-intercept for of y = x -3
Need this answer if any 9ne no it
Answers
Answer:
I think it's 2
Step-by-step explanation:
You have to put x and y in the right places where they belong, where x = - 1 and y = 2, that's it !
please help me asap
Answers
Answer:
Step-by-step explanation: In a total eclipse of the moon, the inner part of Earth's shadow, called the umbra, falls on the moon's face. At mid-eclipse, the entire moon is in shadow, which may appear blood red. ... In a penumbral lunar eclipse, only the more diffuse outer shadow of Earth – the penumbra – falls on the moon's face.
La edad actual de Jorge es el triple que la de Perdro y dentro de 10 años será el doble. Cuál es la edad actual de cada uno de ellos?
Necesito operación por favor.
Answers
Answer:
Planteas un sistema de ecuaciones 2x2 y solucionas por el método que prefieras.
Step-by-step explanation:
Edad de Jorge: j
Edad de Pedro: p
[tex]\left \{ {{j=3p}\atop {j+10=2(p+10)}}\right.[/tex]
Ec (1) en Ec (2)
[tex]3p+10=2(p+10)[/tex] → [tex]3p+10=2p+20[/tex] → [tex]3p-2p=20-10[/tex] → [tex]p=10[/tex]
Reemplazamos en Ec (1)
[tex]j=3(10)[/tex] → [tex]j=30[/tex]
Por ende, Jorge tiene 30 años y Pedro 10
Worked out 67.5÷16.875
Answers
Answer:
Step-by-step explanation:
your answer if 4
Please help me with this
(Image)
10pts)
Answers
1# 22.2
2# 71.4
3#2.3
4#57.1
y = x^2 + 3
Find End Behavior
Answers
- 12, -4,4, 12,
What is the tenth term?
Answers
It’s: 60
HELP ASAP
graph and label the image after rotation of 90 degrees counterclockwise
Answers
Answer:
Just move the graph u
Step-by-step explanation:
Z (-3,0)
L(0,3)
J(-5,2)
BRAINLIEST?!
Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2 per cubic millimeter. Deter mine the following:
a. Probability of at least one inclusion in a cubic millimeter.
b. Probability of at least 3 inclusions in 4.0 cubic millimeters.
c. Volume of material to inspect such that the probability of at least one inclusion is 0.98
d. Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
Answers
Answer and Step-by-step explanation:
Solution: given:
(a)
Mean = λ = µ = 2permm3
By using formula:
P(x = k) = λk e- λ / k!
P ( not A) = 1 – p(A)
Passion probability at k = 0
P( x = 0) = 20 e-2/ 0!
= 0.1353
Probability of at least one inclusion:
P(x≥1) = 1- p(x=0) = 1 – 0.1353
= 0.864
(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.
Mean = λ = µ = 2 per mm3
Inclusion in 4 cubic mm = 4 x 2 per 4 mm3 = 8 per 4 mm3
P(not A) = 1 – p(A)
Passion probability at k = 0,1,2
P(x=0) = 80 e-8 / 0!
= 0.00034
P(x = 1) = 81 e-8 / 1!
= 0.00272
P(x = 2) = 82 e-8 / 2!
= 0.01088
Probability at least 3 inclusion:
P(x≥3) = 1 – p(x<3) = 1 – p(x = 0) – p(x =1) – p(x = 2)
= 1 – 0.00034 – 0.00272 – 0.01088
= 0.98606
(c) . Volume of material to inspect such that the probability of at least one inclusion is 0.98
The probability of x ≥ 1 has to be equal to 0.98
P(x ≥ 1) = 0.98
P(x = 0) = p(x < 1)
= 1 – p(x≥ 1) = 1 – 0.98
= 0.02
Poission probability at k = 0
P(x = 0) = (2 n )0 e-2n / 0! = e-2n
e-2n = 0.02
taking ln on both sides :
-2 n = ln e-2n = ln 0.02
Divided by -2,
n = ln 0.02 / -2
= 1.955
Volume is 1.955 mm3.
(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
The probability of x ≥ 1has to be at least 0.98
P(x ≥ 1 )≥ 0.98
P(x = 0 ) = p(x < 1 ) = 1 – p(x≥1) = 1- 0.98
= 0.02
Poisson probability at k = 0
P(x = 0) = λ0 e-λ / 0! = e-λ
e-λ ≤ 0.02
taking ln on both sides:
ln e-λ ≤ ln 0.02
λ = ln 0.02 / -1
= 3.912
What is the length of AB?
B
4x
2x + 6
50"
A
50°
C
O A. 9
O B. 3
O C. 12
O D. 6
Answers
Answer:
C. 12
Step-by-step explanation:
[tex]4x=2x+6[/tex]
[tex]4x-2x=6[/tex]
[tex]2x=6[/tex]
[tex]x=3[/tex]
~
[tex]AB=4x\\=4(3)\\=12[/tex]
~
Therefore, your answer is C) 12 !!!!!!
m = (1 +19)(2) How do i solve it?
Answers
Answer:
40
Step-by-step explanation:
Firstly, i solved for the first pair of parenthesis and got 20. If there is no sign in between a pair of brackets of parenthesis its multiplication
Put as brainliest if you wish
Can anyone help me with this... please I need it in like a hour...
Answers
Answer:
iii. [tex](2x-9)+5t[/tex]
iv. [tex](2x-9+5t)-\frac{2}{5}n^3[/tex]
v. [tex]\frac{(2x-9+5t)-\frac{2}{5}n^3}2[/tex]
Therefore the answer is U.
I really hope this helped you.
Plato please help me
Answers
If we plot it, we see that the two inequalities have no commonality in any range of numbers.
Thus I think it never alerts.(( I'm not sure about it ))
I need help on number 3 please.