Answer:
G = 7
Step-by-step explanation:
Divide both sides by 5.1 to get G by itself.
Divide 5.1 by 5.1 and get 1
Divide 35.7 by 5.1 to get 7
G = 7
Brainliest pls
Answer:
7
Step-by-step explanation:
5.1g = 35.7
g is being multiplied by 5.1. The opposite operation to multiplication is division. To get rid of the 5.1 multiplying g, we need to divide 5.1g by 5.1 since 5.1/5.1 = 1. The rule of equations is that you must do the same operation to both sides of the equation. Since we need to divide the left side by 5.1, we divide both sides by 5.1.
5.1g/5.1 = 35.7/5.1
g = 7
Answer: 7
Evaluate the expression for the given value of x.
6.5x - 3.5 for x = 9
The solution is...
Answer:
55
Step-by-step explanation:
6.5x - 3.5 [x = 9]
6.5(9) - 3.5
58.5 - 3.5 = 55
Quartile represent what percent of data.
A. 35%
B. 50%
C.25%
D.30%
Solve the following system of equations. 4y+3z=-7
12x-3y+z=-7
-6x+2y-2z=12
Step-by-step explanation:
12x-3y+z=-7 ‖-12x+3y
z=-7-12x+3y
so you can replace z with (-7-12x+3y)
4y+3*(-7-12x+3y)=-7
4y+(-21-36x+9y)=-7
13y-21-36x=-7 ‖+21
13y-36x=14 ‖-13y
-36x=14-13y ‖*(-1)
36x=-14+13y ‖/3
12x=-14/3+13/3y
so-6x=+14/6-13/6y
(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)=12
(+14/6-13/6y)+2y+14-28/3+26/3y-6y=12
(+14/6-13/6y)+2y+14-56/6+52/6y-6y=12
7+2.5y=12 ‖-7
2.5y=5 ‖/2.5
y=2
so
4y+3z=-7
4*2+3z=-7
8+3z=-7 ‖-8
3z=-15 ‖/3
z=-5
12x-3*2+(-5)=-7
12x-6-5=-7
12x-11=-7 ‖+11
12x=4 ‖/12
x=1/3
whats 2 1/2 X 1 1/2 someone pls help
Answer:
15/4
Step-by-step explanation:
2 1/2 x 1 1/2
First, make them both improper fractions to make them easier to multiply
5/2 x 3/2
Multiply their numerators together to get the numerator and multiply their denominators together to get the denominator.
5 x 3 = 15
2 x 2 = 4
5/2 x 3/2 = 15/4
Allison sent and received 240 text messages last month. 20% of those messages were sent to her best friend. How many text messages did Allison send to her best friend last month?
Answer:
48
Step-by-step explanation:
because 20% of 240 is 48.
What is 3/8 as a decimal representation and as a percent representation
Answer:
0.375 and 37.5%
Step-by-step explanation:
3/8 = 0.375
0.375*100=37.5%
Please help, worth 20+ points! Please, help give answers!
Answer:
1. 0.34
2. 0.46
3. 0.75
4. 0.3 with a bar over 3
5. 0.63 with a bar over 63
6. 0.259 with a bar over 259
7. 0.1875
8. 0.35
Point P is located at (4,8) on a coordinate plane. Point P will be reflected over the x - axis. What will be the coordinates of the image point of point P?
A. (8, 4)
B. (-4, -8)
C. (4, -8
D (-8, 4)
Answer:
C. (4, -8)
Step-by-step explanation:
To reflect a point over a straight horizontal line, start from the original point and count how many units it takes to reach that line (going vertically). Keep that number in mind. Then, at that same point on the line, go vertically again and count that many units going away from the line. The point where you stop would be the reflected point.
In this case, starting from (4, 8) and then going down towards the x-axis would take 8 units. Taking that number and counting another 8 units down would land you at (4, -8). Therefore, (4, -8) is the answer.
Please look at the attached image for a clear visual explanation.
lest common multiple of 60 and 90
Answer:
180
Step-by-step explanation:
PLS be quick and answer as best as you can
The following equation was written on the chalkboard: Δ + Δ + ◊ + Ꙫ ─ Δ = Ω. If Δ = 4, Ꙫ = 3 and Ω = 12, what is the value of ◊?
Answer:
4+4+x+3-4=12
8+x-1=12
7+x=12
x=12-7
=5
answer is 5
An electrician collected $1265.23 for a job that included $840 labor, which was not taxed, and the rest for parts, which were taxed at 6%. Determine how much of the total was tax.
Answer:
Total tax = $25.51
Step-by-step explanation:
Total collection = $1265.23
Tax-Free amount = $840
so
Taxable amount = $1265.23 - $840
= $425.23
Given that the taxable amount was taxed at 6%
Thus,
The total tax = 6% of 425.23
= 6/100 × 425.23
= 0.06 × 425.23
= $25.51
Therefore,
Total tax = $25.51I need help plz! ;((
Answer:
I think option B is correct
Solve 5(2x – 3) = x – 15 + 9x for x.
Answer:
Given
5(2x – 3) = x – 15 + 9xSolving for x
5(2x – 3) = x – 15 + 9x10x - 15 = 10x - 15Both sides are equal, any value of x is a solution, so infinitely many solutions
Step-by-step explanation:
[tex]5(2x - 3) = x - 15 + 9x \\ 10x - 15 = 10 x - 15[/tex]
Both the sides are equal
Hence no specific value of x
Therefore, x has infinite value.
Which of the following values represents the value of the second derivative of y with respect to x for the function defined by ln(xy) = x - y at point (1, 1)?
A. d2y/dx^2 = -1/2
B. d2y/dx^2 = -1/4
C. d2y/dx^2 = 0
D. d2y/dx^2 = 1/4
E. d2y/dx^2 = 1/2
Answer:
E
Step-by-step explanation:
We are given:
[tex]\ln(xy)=x-y[/tex]
And we want to find the second derivative at the point (1, 1).
So, we will take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}\big[\ln(xy)\big]=\frac{d}{dx}\big[x-y\big][/tex]
Implicitly differentiate. The left will require the chain rule. Hence:
[tex]\displaystyle \frac{1}{xy}\cdot \frac{d}{dx}\big[xy\big]=1-\frac{dy}{dx}[/tex]
Differentiate:
[tex]\displaystyle \frac{1}{xy}\cdot \big( y+x \frac{dy}{dx} \big) =1-\frac{dy}{dx}[/tex]
Distribute:
[tex]\displaystyle \frac{1}{x}+\frac{1}{y}\frac{dy}{dx}=1-\frac{dy}{dx}[/tex]
Isolate the derivative term:
[tex]\displaystyle \frac{dy}{dx}\big(\frac{1}{y}+1\big)=1-\frac{1}{x}[/tex]
Divide:
[tex]\displaystyle \frac{dy}{dx}=\frac{1-\frac{1}{x}}{\frac{1}{y}+1}}[/tex]
Simplify. We can multiply both layers by xy. Hence:
[tex]\displaystyle\begin{aligned} \frac{dy}{dx}&=\frac{1-\frac{1}{x}}{\frac{1}{y}+1}}\cdot\frac{xy}{xy} \\ &=\frac{xy-y}{x+xy} \end{aligned}[/tex]
We can factor. Hence, our derivative is:
[tex]\displaystyle \frac{dy}{dx}=\frac{y(x-1)}{x(y+1)}[/tex]
Differentiate once more to find the second derivative:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{d}{dx}\Big[\frac{y(x-1)}{x(y+1)}\Big][/tex]
Quotient rule:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{\frac{d}{dx}[y(x-1)](x(y+1))-y(x-1)\frac{d}{dx}[x(y+1)]}{(x(y+1))^2}[/tex]
Differentiate using the product rule:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ \big[\frac{dy}{dx}(x-1)+y\big](x(y+1))-y(x-1)\big[(y+1)+x\frac{dy}{dx}\big] }{(x(y+1))^2 }[/tex]
You may choose to simplify, but this is not necessary, as we are only interested in the second derivative at (1, 1).
First, since first derivatives exist in our second derivative, we will find them first. Recall that the first derivative is given by:
[tex]\displaystyle \frac{dy}{dx}=\frac{y(x-1)}{x(y+1)}[/tex]
Therefore, at (1, 1), the first derivative is:
[tex]\displaystyle \frac{dy}{dx}_{(1, 1)}=\frac{1(1-1)}{1(1+1)}=\frac{1(0)}{1(2)}=0[/tex]
So, we will substitute 0 for every dy/dx for our second derivative. Thus:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ \big[(0)(x-1)+y\big](x(y+1))-y(x-1)\big[(y+1)+x(0)\big] }{(x(y+1))^2 }[/tex]
Simplify:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ y(x(y+1))-y(x-1)\big[(y+1)\big] }{(x(y+1))^2 }[/tex]
So, at the point (1, 1), our second derivative is:
[tex]\displaystyle \frac{d^2y}{dx^2}_{(1, 1)}=\frac{1(1(1+1))-1(1-1)(1+1)}{(1(1+1))^2}=\frac{2-0}{4}=\frac{1}{2}[/tex]
Hence, our final answer is E.
If adora watched a video that's 21:58 minutes long what time will she have to start watching to finish exactly at 11:59pm
Answer:
11:37.02 pm
Step-by-step explanation:
11:59 pm - 21:58 minutes = 11:37.02 pm
Cassandra paid $32 for a shirt that originally cost $50. What percent of the original price did the shirt cost?
Answer:
22%
Step-by-step explanation:
You just subtract the numbers
Answer:
64%
Step-by-step explanation:
To find a percent, you have to divide the new cost by the original cost, then multiply the answer by 100.
(32/50)*100
= 0.64 * 100
= 64%
After falling 23 degrees f, the temperature is now 51 degrees f. What was the starting temperature?
Answer:
74
Step-by-step explanation:
its easy so you add 23 and 51 and you got the answer.
ILL GIVE U A BRAINLIEST! NEED HELP ON TIMER
Which point is located on the x-axis?
On a coordinate plane, point A is at (0, 3), point B is at (3, 3), point C is at (3, 0), and point D is at (negative 3, 3).
Answer:
0,3 hddjbdhfjdndjdkdbdjdnd
if i bike travels 15m in 2 sec, what is its speen in km/h?
Answer:
x=27 km
Step-by-step explanation:
Make an equation 2/.015=3600/x
Multiply 3600 by .015 to get 54
Divide 54 by 2 to get 27.
9514 1404 393
Answer:
27 km/h
Step-by-step explanation:
(15 m)/(2 s) = (15 m)/(2 s)×(1 km)/(1000 m)×(3600 s)/(1 h)
= (15×1×3600)/(2×1000×1) km/h = 15×1.8 km/h = 27 km/h
can some one plz help me with this sienice qustion (will give brainlest)
Answer:
A
Step-by-step explanation:
What does the word slope mean?
Part C
Write a question or define an attribute of the data that you couldn't answer or see with the original histogram, but can
now answer or see with the new histogram.
Answer:
This is the sample answer:
The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.
Step-by-step explanation:
Which
graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Answer:
I believe the answer would be
Step-by-step explanation:
a graph that goes up and then is a straight line then it goes down.
In other words the graph would be A.
Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-x2 = 3y + 10
3(2x + y) = 14
y = 13- 2x2
2 = y + x5
y = x + 7
Answer:
A linear equation is of the form:
y = a*x + b
Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.
Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.
a) 2x + 5y = 13
5y = -2*x + 13
y = (-2/5)*x + 13/5
(this is a linear equation)
b) -x^2 = 3y + 10
-3*y = x^2 + 10
y = (-1/3)*x^2 + 10/3
(this is not a linear equation)
c) 3(2x + y) = 14
6x + 3y = 14
3y = 14 - 6x
y = (-6/3)*x + 14/3
(this is a linear equation)
d) y = 13 - 2*x^2
(this is not a linear equation, we have a x^2 there)
e) 2 = y + x^5
-y = x^5 - 2
(this is not a linear equation, we have a x^5 there)
f) y = x + 7
we can rewrite this as:
y = 1*x + 7
(this is a linear equation)
Answer:
i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct
Step-by-step explanation:
pls help asap no trolls!
Answer:
HI
Step-by-step explanation:
In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.
This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.
In ∆HIJ, the least angle measure is <J (54°).
Side length opposite to <J is HI.
Therefore the smallest side of ∆HIJ is HI
what unit would you use to measure the area of a checkerboard
Answer:
I'd assume inches, hope this helps!
I am extremely confused. Any help?
Answer:
(x-4)(5x³+18x²+54x+215)+860
Step-by-step explanation:
This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r
That is:
5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r
if so,then
5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r
5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r
5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r
We can now equate the similar terms thus,the terms with the same power of x on both sides
5x⁴=ax⁴,a=5
Again,
b-4a=-2,but a=5
b-4(5)=-2
b-20=-2
b=18
Again,
c-4b=-18(but b=18)
c-4(18)=-18
c-72=-18
c=54
Again,
d-4c=-1(but c=54)
d-4(54)=-1
d-216=-1
d=215
Finally,
-4d+r=0(but d=215)
-4(215)+r=0
r-860=0
r=860
This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860
Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860
solve by substitution 3x +y=13 and 5x-2y=7
Answer:
x=3
y=4
Step-by-step explanation:
I'm using 3x+y=13 to find y, then plug y into the second equation.
y= -3x+13
5x-2(-3x+13)=7
find x.
5x+6x-26=7
11x=33
x=3
now plug x into 3x+y=13(you could do it with the other equation too)
3(3)+y=13
y=13-9
y=4
The value of x and y is 3, and 4 respectively by the substitution method.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations;
3x +y=13 ...(1)
5x-2y=7 ...(2)
By using the substitution method.
[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]
y = 4
Plug y = 4 in equation (1)
3x + 4 = 13
x = 3
Thus, the value of x and y is 3, and 4 respectively by the substitution method.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
-w=-10+4w
Step by step to please
w=2
Step-by-step explanation:
-w=-10+4w
10=4w+w
10=5w
10/5=w
2=w
geometry help please!
Answer:
x+16=4x-5
16+5=3x
21=3x
21/3=x
x=7