Answer:
Error: Multiplied both sides by 3/4 instead of 4/3.
Solution: x = 16
Step-by-step explanation:
The error is that you multiplied both sides by [tex]\frac{3}{4}[/tex] instead of dividing both sides by [tex]\frac{3}{4}[/tex].
This is an error because:
[tex]\frac{3}{4} *\frac{3}{4} x\neq x[/tex]
Actually:
[tex]\frac{3}{4} *\frac{3}{4} x=\frac{9}{16} x[/tex]
What you want to do instead is divide both sides by [tex]\frac{3}{4}[/tex]. Remember, dividing both sides by [tex]\frac{3}{4}[/tex] would be the same as multiplying both sides by [tex]\frac{4}{3}[/tex].
Now, lets find the correct answer:
[tex]\frac{3}{4}x=12[/tex]
Multiply both sides by 4/3.
x = 16
So the correct answer would be x = 16.
I hope this helps. Happy studying.
An elevator descends at a
constant speed. What is the change in elevation
after 19 seconds?
Answer:
he total time is 4 seconds. The elevator descends 10 feet each second so the total is:
4seconds x -10 feet/sec = -40 feet
The total change in elevation is -40 feet. You need the negative sign because the elevator is moving downward. Hope this helps!
A bag contains nine balls labeled 1 through 9. One ball will be randomly picked. What is the probability of picking a multiple of 3?
Answer: 3/9 or 1/3
Step-by-step explanation:
3, 6 and 9 are all multiples of 3 equal or below 9.
hellllllllllllllllllllllllllllllllllpppppppppppppppppppppppp whats the x
Easy buddy....
[tex]2 x + 68 = 180[/tex]
Subtract the sides of the equation minus 68
[tex]2x = 180 - 68[/tex]
[tex]2x = 112[/tex]
Divided the sides of the equation by 2
[tex]x = \frac{112}{2} = 56 \\ [/tex]
So ;
[tex]x = 56 \: degreees[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
find the area of a circle with the following dimension, diameter=20cm
Answer:
314.16cm²
Step-by-step explanation:
Which expression has a value of 3/4
Plot the image of point A under a dilation about point P with a scale factor of 3.
Answer:
THere is no image do da
Step-by-step explanation:
Sara ate 314 of a cup of grapes at breakfast and 213 of a cup of fruit salad a
lunch. Later she ate 314 of a cup of orange slices. Did Sara eat more than 2 cups
of fruit in total? *
yes
no
Answer:
yes because when you add the fractions together you get 8 5/6
Jake won 7 of the 15 races he ran. Write Jake's fraction of decimal. wins as a
Answer:
0.46
Step-by-step explanation:
Answer:
0.4667
Step-by-step explanation:
First off, we'll interpret the fraction bar to mean "divided by." This means that 7/15 is the same as 7 divided by 15.
Second, you have requested to see 3 decimal places in your answer, so we'll write the 7 as 7.000 instead (a 7 with 3 zeros after the decimal point).
Now, we'll just do what the fraction bar says: divide 7.000 by 15:
And that's about it! 7/15 written as a decimal to 3 decimal places is 0.467
Middle school math
Graph the line y=−3x+b if it is known that the graph goes through point: a A(−2, 4)
Answer:
Step-by-step explanation:
a line passes trough the point { 0, -3/2} and has a slope of 1/2. what is the equation of the line?
* awnsers in the picture *
Solutions: x=1.
Hope this helps!
What is the best estimate for 34 2/3÷ 4 4/5?
Answer:
7.2
Step-by-step explanation:
Answer:
7 2/9; estimate is about 7
Step-by-step explanation:
convert mixed numbers to improper fractions
(whole number × denominator + numerator)
104/3 ÷ 24/5
copy dot flip
104/3 × 5/24
multiply numerators
520
multiply numerators
72
520/72
convert back to mixed numbers
7 16/72
simplify
7 2/9
I WILL GIVE BRAINLIEST!!!
Answer:
it should be C
Step-by-step explanation:
Find the minimum sample size n needed to estimate μ for the given values of c, σ, and E. c=0.98, σ=8.7, and E=
Answer:
The sample size n will be "52".
Step-by-step explanation:
The given values are:
c = 0.98
σ = 8.7
Margin of error
E = 2
[tex]Z_{\frac{\alpha}{2} }=Z_{\frac{0.1}{2} }=1.65[/tex]
For 90% confidence level:
⇒ [tex]n=[\frac{Z_{\frac{\alpha}{2}}\times \sigma}{E} ]^2[/tex]
⇒ [tex]=[\frac{1.65\times 8.7}{2} ]^2[/tex]
⇒ [tex]=51.5165[/tex]
i.e.,
⇒ [tex]n=52[/tex]
One of the main purposes of physical geography is to:
A. compare and contrast cultures from different regions,
B. identify patterns in the ways religions spread around the world.
C. allow governments to plan for future population growth.
D. help people understand how nature affects their communities,
Answer:
Hi! I did this exact question on A P E X and got it right! The answer to your question is D. Help people understand how nature affects their communities!
Step-by-step explanation:
I hope this helps and I hope you guys have a great day! :3
Proof:
Find the equivalent number
Answer:
2
Step-by-step explanation:
you make 3⁴ into 12 and 3² into 6 which makes it 12/6 & 6 times 2 is 12 so it would be 2
A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable with mean 109 and standard deviation 11. His profit on each bar sold is $0.12, and it costs him $10 per week to maintain the machine and rent the space for it. What are the mean and standard deviation for Y= the profit he earns from this machine in a randomly selected week?
Answer:
10
Step-by-step explanation:
Given sin(u) = Negative StartFraction 7 Over 25 EndFraction and cos(v) = Negative four-fifths, what is the exact value of cos(u-v) if both angles are in quadrant III?
Answer:
117/125
Step-by-step explanation:
Answer:
117/125
Step-by-step explanation:
The short answer please
Answer:
4) 1
5) 13/0, ND
6) -4
7) 5/3
8) 0
9) -1/7
all ans r correct....
pls vote n rate if u found it useful ....
Please help and explain why you got it right please
Answer:
y+7 = -3 ( x-4)
Step-by-step explanation:
First find two points on the graph to find the slope
( 1,2) and ( 3,-4)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( -4-2)/(3-1)
= -6/2
=-3
We can use the point slope form
y - y1 = m(x-x1) where m is the slope and x1,y1 is a point on the line
We have two choices with a slope of -3
We can either use and x coordinate of -2 or 4
for -2, the y coordinate is not shown
for 4 , the y coordinate is -7
Using ( 4, -7) and m = -3
y--7 = -3( x- 4)
y+7 = -3 ( x-4)
Answer:
A
Step-by-step explanation:
We want to write the equation of the line as shown in the graph.
First and foremost, we should find the slope of the line. To do so, we will pick two points that the line crosses.
We see that the line crosses the points (0, 5) and (2, -1). Now, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 5) be (x₁, y₁) and let (2, -1) be (x₂, y₂). Substitute:
[tex]m=\frac{-1-5}{2-0}[/tex]
Subtract and reduce. So, our slope is:
[tex]m=-6/2=-3[/tex]
Therefore, our slope is -3.
Now, we can use the point-slope form to find the equation. Point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is our slope and (x₁, y₁) is any point the line crosses.
First, since we already know that our slope is -3, let's substitute -3 for m:
[tex]y-y_1=-3(x-x_1)[/tex]
So, we can eliminate choices C and D since the slope of those equations is 3 and not -3.
Now, we need to pick our (x₁, y₁). Let's go through the answer choices A and B to see which one is correct.
For A, we have:
[tex]y+7=-3(x-4)[/tex]
We can rewrite this as:
[tex]y-(-7)=-3(x-(4))[/tex]
Therefore, in A, our point is (4, -7).
Now, check. Does our line actually pass through (4, -7).
From the graph, we can see that it does. Therefore, A is our correct answer!
However, let's do B just to confirm. For B, we have:
[tex]y+1=-3(x+2)[/tex]
We can rewrite this as:
[tex]y-(-1)=-3(x-(-2))[/tex]
So, our point is (-2, -1).
Does our line pass through (-2, -1)?
Upon inspection, our line does not pass through (-2, -1). So, B is not correct.
So, our answer is A.
And we're done!
#53. Which set is an example of like fractions?
7/4 and 4/7
10/10 and 5/5
1/2 and 3/2
d) 2/1 and 2/3
Answer: 1/2 and 3/2
Step-by-step explanation:
Like fractions have the same denominator
Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.
Answer and Step-by-step explanation:
SOLUTION:
Given function:
h (x, y, z) = ln (x2 + y2 – 1) + y +6z, p0(1, 1, 0)
Derivatives of the function:
∂h / ∂x = (1 / x2 + y2 -1). (2x)
= 2x / x2 + y2 -1
∂h/∂y = (1 / x2 + y2 – 1) (2y + 1)
= (2y / x2 + y2 -1) + 1
∂h / ∂z = 6
Now compute the partial derivatives:
∂h (1, 1, 0) / ∂x = 2(1) / 1 +1 -1
= 2
∂h(1, 1, 0) / ∂y =( 2(1) / 1 +1 -1) + 1
= 3
∂h (1, 1, 0) / ∂z = 6
Δh (1,1,0) = ( 2, 3, 6)
The definition of gradient is:
Δf (x, y, z) = (∂f / ∂x , ∂f / ∂y)
Put the coordinate values to arrive at solution:
Umax = Δh (1,1,0) / | Δh (1,1,0) |
= (2, 3, 6) / |2, 3, 6|
= (2, 3, 6) / √(22+33+62)
= (2, 3, 6) / √49
= (2, 3, 6) / 7
= (2/7 , 3/7, 6/7)
Umin = - U max = ( -2/7, -3/7, -6/7)
Compute direction by finding unit vector:
Du h max = Δh (1,1,0) . u max
= (2, 3, 6) . (2/7, 3/7, 6/7)
= 2(2/7) + 3(3/7) + 6(6/7)
= 4/7 + 9/7 +36/ 7
= 49 / 7
= 7
Du h min = -Du h max
= -7
You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?
Answer:
$0.90/pound
Step-by-step explanation:
4.5$ ÷ 5 pounds = $0.90 / pound
What is the slope of the line that contains these point?
(13,11),(14,6),(15,1),(16,-4)
Answer:
Step-by-step explanation:
You can easily find the slope by using two points. Let’s use (13, 11) and (14, 6)
We look at the slope equation as: y2 - y1 divided by x2 and x1.
13 = x1 11= y1 and 14= x2 6=y2
Plug in: 6-11/14-13 and solve
Answer: -5
Hope I made sense :)
Answer:
Slope (m) = -5
Step-by-step explanation:
*If all the given four points are on a straight line then; the slope derived from first two points should be equal to the slope derived from the next to points.
Let's verify this ...
For the first two points:
Slope (m) = change in y ÷ change in x = [tex]\frac{6 - 11}{14 - 13} = \frac{-5}{1} = -5[/tex]
For the next two points:
m = [tex]\frac{-4 - 1}{16 - 15} = -5[/tex]
*Proved ∴ points (13,11) , (14,6) , (15, 1) and (16,-4) are on the same line.
We can find the equation of this line and ascertain that the four points are on a single line.Taking another point (x,y) on the line and point (13,11);
m = [tex]\frac{y - 11}{x - 13} = -5[/tex]
y = -5x + 65 + 11
y = -5x + 76
Let's graph this equation. (graph attached)can someone please help me
Answer:
the triangle is 10 the rest are 3
Evaluate x^2 y for x = -5 and y = 3.
-75
-15
75
[tex]x = - 5[/tex]
[tex]y = 3[/tex]
_________________________________
[tex] {x}^{2} \times y = ({ - 5})^{2} \times 3 = 25 \times 3 = 75 \\ [/tex]
Done♥️♥️♥️♥️♥️
On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was his rate on Saturday?
A. 4 MPH
B. 11 MPH
C. 15 MPH
D. 16 MPH
Answer:
B. 11 MPH
Step-by-step explanation:
60/4=15
15-11=4
urgent will mark brainliest
which answers are elements of the solution set of the inequality? check all answers that apply. x-46>/-79
A. -39
B. -45
C. -33
D. 25
E. 14
F. -25
First, isolate the variable:
x>-33
The answers would be 25, 14, -25.
I am not sure if that is a more than sign or a more than or equals sign; if it is a more than sign the answers mentioned above are the only answers, but if it a more than or equals sign, the answers are 25, 14, -25, -33.
If it helped please consider giving be brainliest :)
Answer:
C, D, E, FStep-by-step explanation:
Solving in steps
x - 46 ≥ - 79x ≥ 46 - 79x ≥ -33Correct answer choices:
C. -33 D. 25E. 14F - 25Help quick ........ ...
Answer:
X= 1/5
Step-by-step explanation:
Construct a 2x2 matrix A= aij. whose elements are given by
a = |-3i + j| plz give step by step answer
Find g (a + 1 ), if g(x)=5x-3
Answer:
g(a+1)=5a+2
Step-by-step explanation:
so (a+1) is the value of x
you can write it like this:
x=a+1
using substitution, we can swap out all 'x's for 'a+1's. like so;
g(a+1)=5(a+1)-3 -- given
=5a+5-3 -- distribute
=5a+2 -- simplify!
Hope i helped! have a great day! please mark brainliest!!