Answer:
x = 8
Step-by-step explanation:
4x + 3 = 35
subtract 3 from both sides
4x + 3 - 3 = 35 - 4
4x = 32
divide both sides by 4
4x / 4 = x
32/4 = 8
we're left with x = 8
Answer:
x = 8
Step-by-step explanation:
To solve for x you need to isolate it
First, subtract 3 from both sides, so you end up with:
4x = 32
Then, divide both sides by 4 to isolate the x
x = 8
Describe the error in the work shown.
3 to the square root of x^3(y^12)/4^3 = 3 to the square root of x^3(y^12)/3 to the square root of 4^3
Answer:
should be xy^4/4
Step-by-step explanation:
next to the last step (x^3(y^3)^4)^1/3
The variables x and y have a proportional relationship, and y = 5/6 when x = 3/4
Which equation represents this relationship?
y = 1/2x
y = 9/10x
y= 5/8x
y= 1 1/9x
Answer:
(d) y= (1 1/9)x
Step-by-step explanation:
A proportional relation is described by the equation ...
y = kx
Dividing by x shows how to find the value of k:
k = y/x
For the given values of y and x, the value of k is found to be ...
k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9
The relationship is represented by the equation ...
y = (1 1/9)x
Answer:
the answer is y=1 1/9x because i took thek12 quiz
Step-by-step explanation:
What is the solution to this equation?
−14(x+123)=−215
x=15 7/15
x=10 7/15
x=7 2/15
x=2 2/15
in math what is 100 x 100?
Answer:
10000
Step-by-step explanation:
Answer:
1000
Step-by-step explanation: just add 100 100 times
Pls help!!
Slope = 2; (14, 33)
Answer:
y = 2x + 5
Step-by-step explanation:
Consider the format of a line equation, y = mx + b
The slope is represented as the variable 'm.'
Since we already know that the slope is 2, we can input it into the format.
y = 2x + b
Assuming that the point (14, 33) is a point of intersection, we can input these numbers into the equation in order to find the value of b, or the y-intersect.
33 = 2(14) + b
33 = 28 + b
5 = b
Use the diagram and the given information to answer the question. Gavin is in his office, deciding where to go to lunch. The distance from the deli to the coffee shop is 18 miles. The distance from Gavin’s office to the coffee shop is 24 miles. How many miles is the pizza place from Gavin’s office?
Answer:
uhh.. I can't give you an answer because I don't have enough information
Step-by-step explanation:
I need some numbers on the pizza place.. I have no information that can lead me to the answer. do you have the diagram?
Let n be the middle number of three consecutive Integers. Write an expression for the sum of these Integers.
Consecutive integers are those that occur one after the other. Let's use 2, 3, 4 as an example.
The middle number is 3 (n). To get to 2 from 3, we need to subtract 1 (n - 1). To get to 4 from 3, we need to add 1 (n + 1).
Now that we understand how to get to each number from the middle number, we can create our expression.
(n - 1) + n + (n + 1)
(n + n + n) + (1 - 1)
3n + 0
Answer: 3n
Hope this helps!
Answer:
3nStep-by-step explanation:
We know that:
n is the middle number of the three consecutive numbers.The three consecutive numbers can be represented as n - 1, n, n + 1.Solution:
=> x + n + y (n = middle number)=> n - 1 + n + n + 1 (n = middle number)=> 3nHence, the sum of the three consecutive numbers is 3n.
Miss Mowrey gave out some A grades last trimester. In fact, she gave out 27 As. Her students decided they should work harder, so this trimester there were 1 1/3 of that number. How many As did Miss Mowrey give out this trimester?
Answer:
36
Step-by-step explanation:
Let's split [tex]1\frac{1}{3}[/tex] of that number
Of means multiply
That number is referring to 27
Solve [tex]1\frac{1}{3} *27[/tex]
[tex]1\frac{1}{3} *27[/tex] = 36
Ms. Mowrey gave out 36 As this trimester.
Hope this helps :)
Have a nice day!
10
Nate had 30 minutes to do a three-problem quiz. He spent 11 minutes on question A and 3
minutes on question B. How much time did he have left for question C?
help!!! how do i solve this
Answer:
(a) 7.1
(b) (5/2, 3/2)
(c) 2
(d) y = -x +4
Step-by-step explanation:
(a)The length of AC is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((5 -(-2))² +(-1 -0)²) = √(49 +1) = 5√2 ≈ 7.1
The length of AC is about 7.1.
__
(b)The midpoint has coordinates that are the average of the end point coordinates.
midpoint BC = (B + C)/2 = ((0, 4) +(5, -1))/2 = (5, 3)/2
midpoint BC = (5/2, 3/2)
__
(c)The slope is found using the slope formula.
m = (y2 -y1)/(x2 -x1)
For points A(-2, 0) and B(0, 4), the slope of the segment between them is ...
m = (4 -0)/(0 -(-2)) = 4/2 = 2
The slope of AB is 2.
__
(d)The slope of line BC is found in the same was as for AB.
m = (-1 -4)/(5 -0) = -5/5 = -1
The y-intercept of the line is point B, at y=4. So, the equation of line BC is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
y = -x +4
2 hours before 1:40 a.m. with process
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: 11:30 \: p.m }}}}}}}}[/tex]
Step-by-step explanation:
The given question is to find 2 hours before 1:30 a.m.
The a.m or 'ante meridiem' & p.m or 'post meridiem'. is used in the 12 hour clock system which is a system where the 24-hours in a day is divided into 2 equal parts → a.m & p.m.
The time after 12 midnight till 12 noon is included in a.m. while the time from 12 noon to 12 midnight is included in p.m.
So, 2 hours before 1:30 a.m,
1:30 a.m - 2:00 = 11:30 p.m.This happened because, it's under the 12-hour system so, the numbers range from 1 - 12 . Since, 1:30 a.m comes somewhat towards the beginning, we have to go back 2 hours & that's 11:30 p.m.
_________
Hope it helps!
Check out more helpful links here:
■ https://brainly.com/question/19814247
■ https://brainly.com/question/20158277
[tex]\mathfrak{Lucazz}[/tex]
HELP PLEASE MATH MIDDLE SCHOOL GEOMETRY
Answer:
the answer is 82
Step-by-step explanation:
add 60+38=98 and subtract it by 180
180-98=82
not good at explaining hope it help
HELP MEH
I can't figure this out. Please explain
Answer:
x ≈ 33.0
Step-by-step explanation:
The third angle in the triangle is
180° - 70° - 76° = 180° - 146° = 34°
Using the Sine rule in the triangle
[tex]\frac{x}{sin76}[/tex] = [tex]\frac{19}{sin34}[/tex] ( cross- multiply )
x × sin34° = 19 × sin76° ( divide both sides by sin34° )
x = [tex]\frac{19sin76}{sin34}[/tex] ≈ 33.0 ( to the nearest tenth )
Answer:
x=33 (since it says to round it)
Step-by-step explanation:
This is an ASA triangle.
First, we need to find the value of the unlabeled angle, which is simple:
180°-70°-76°=34° Lets call that angle A
Now we use the law of sines:
x/sinX = a/sinA
x/sin76° = 19/sin34°
Then:
x = (19/sin34°) × sin76°
x = 32.968
How do you simplify?
-6(y-z)=
Answer:
-6(y-z)=-6y+6z
Hope This Helps!!!
Answer:
-6y +6z
Step-by-step explanation:
-6(y-z)=
Distribute by multiplying the -6 to each term in the parentheses
-6*y -6 *(-z)
-6y +6z
Alvita is planning a garden patio to be made from identical square paving stones laid out in a rectangle
measuring 2 stones by y stones.
She finds that when she adds a border of width one stone around the patio, the area of the border is equal
to the original area of the patio.
How many possible values for x are there?
The length of the square paving is the base unit to which the area of the
and patio and the border are evaluated.
Correct response:
The possible x-values are; 10, 6, 4, and 3Which method is used to evaluate the area of the patio?Let s represent the size of the square paving, we have;
Area of the patio = s·x × s·y = s²·x·y
New area = (2·s + s·x) × (2·s + s·y) = 4·s² + 2·s²·y + 2·x·s² + s²·x·y
Area of the border = 4·s² + 2·s²·y + 2·x·s² = s²·x·y
2·s²·(2 + y + x) = s²·x·y
2·(2 + y + x) = x·y
4 + 2·y + 2·x = x·y
x·y - 2·x = 4 + 2·y
x·(y - 2) = 4 + 2·y
Which by using gives;
[tex]x = \mathbf{ \dfrac{4 + 2 \cdot y }{y- 2}}[/tex]
By graphing the above equation on MS Excel, we have the following
possible values of x, and y combination; (10, 3) (6, 4), (4, 6), (3, 10).
Therefore;
The possible values of x are; 10, 6, 4, and 3Learn more about equations here:
https://brainly.com/question/20475360
Which solution correctly solves the problem 5x - 16 = 79?
Answer and Step-by-step explanation:
Alright, so we have the problem 5x-16=79. First, we need to add 16 to both sides of the equation to cancel out the 16 like this:
5x - 16 = 79
+ 16 + 16
5x = 95
Now we need to divide the 5 into the 5x to cancel out the 5. This will leave us with the variable left over like this:
x = 95
5
Five can be divided into 95, so 95 divided by 5 = 19. So the answer is:
x = 19
I hope this helps.
The solution to the given equation is 19.
The given equation is 5x-16=79.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 5x=79+16
5x=95
x=95/5
x=19
Therefore, the solution to the given equation is 19.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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What is 500% as a fraction?
Answer:
Step-by-step explanation:
5/1
Answer:500/100
Step-by-step explanation:
You deposit $7550 in an account that pays 7.25% interest, compounded continuously. How long to the
nearest year will it take for the money to triple?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$\stackrel{tripled}{(7550)3}\\ P=\textit{original amount deposited}\dotfill & \$7550\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years \end{cases}[/tex]
[tex]3(7550)=7550e^{0.0725\cdot t}\implies \cfrac{3(7550)}{7550}=e^{0.0725t}\implies 3=e^{0.0725t} \\\\\\ \log_e(3)=\log_e\left( e^{0.0725t} \right)\implies \ln(3)=0.0725t \\\\\\ \cfrac{\ln(3)}{0.0725}=t\implies 15.15327\approx t\implies 15\approx t[/tex]
It will take approximately 9.55 years (rounded to the nearest year) for the money to triple.
Here, we have,
To determine how long it will take for the money to triple, we need to use the continuous compound interest formula:
A = P *[tex]e^{rt}[/tex],
where:
A = final amount (triple the initial amount)
P = principal amount (initial deposit)
e = Euler's number (approximately 2.71828)
r = interest rate
t = time (in years)
In this case, we have:
P = $7550
r = 7.25% = 0.0725 (converted to decimal)
A = 3P (triple the initial amount)
Substituting these values into the formula, we have:
3P = P *[tex]e^{rt}[/tex]
Dividing both sides of the equation by P, we get:
3 = [tex]e^{rt}[/tex]
To isolate the variable t, we take the natural logarithm (ln) of both sides:
ln(3) = ln[tex]e^{rt}[/tex]
Using the logarithmic property that ln(eˣ) = x, we have:
ln(3) = rt * ln(e)
Since ln(e) = 1, the equation simplifies to:
ln(3) = rt
Now, we can solve for t by dividing both sides by r:
t = ln(3) / r
Substituting the values:
t = ln(3) / 0.0725
Using a calculator or software, we find:
t ≈ 9.55 years (rounded to two decit will take approximately 9.55 years (rounded to the nearest year) for the money to triple. deimal places)
Therefore, it will take approximately 9.55 years (rounded to the nearest year) for the money to triple.
To learn more on interest click:
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The function shown in the graph is shifted 4 units up to produce a
new graph.
Which function represents the new graph?
मीर
of(a) = cos (2)+4
n
21
ton
of(2)=34+ sinz
of(a) =4cost
of(E) =4sinz
Answer: D
Step-by-step explanation:
(6,−3) after a dilation by a scale factor of \frac{1}{3}
3
1
centered at the origin?
Answer: The new point would be (2,-1)
Step-by-step explanation:
To dilate a point, you simply multiply the scale factor (1/3) by the x- and y-values of the point:
6 x 1/3 = 2
-3 x 1/3 = -1
Therefore, the new point would be (2,-1)
I hope this helps!
The dot plot above identifies the number of pets living with each of 20 families in an apartment building. What fraction of the families have more than two pets?
3/20
1/5
1/4
9/20
Step-by-step explanation:
refer the above attachment
Answer:1/5
Step-by-step explanation:
A landscaper wants to increase the size of one of his square gardens. The garden measures 8 feet on each side. The landscaper
plans to increase each side of the garden to be 175% of its current measure.
How many square feet larger is the area of the new garden than the area of the current garden?
A. 260ft
B.160ft
C.132ft
D.48
Answer:
its c
Step-by-step explanation:
The area of the new garden will be 132ft longer than that of the current garden
Area of the squareThe formula for calculating the area of a square is expressed as:
A = L²
If the garden measures 8 feet on each side, then;
A = 8²
A = 64ft²
If the side length is increased by 175%, hence new length will be;
l = 8 + (1.75*8)
A = 14 * 14ft
A = 196 ft²
Difference = 196 - 64
Difference = 132ft
Hence the area of the new garden will be 132ft longer than that of the current garden
Learn more on area of square here: https://brainly.com/question/25092270
What is equivalent to n^-10/n^2
Answer:
1/n^12 or n^-12
Step-by-step explanation:
=n^-10 / n^2
=1/n^10 / n^2
=(1/n^10) *(1/n^2)
=1/n^12
A science club is made up of 18 girls and 12 boys. Four of the girls and 5 of the boys are also in the Spanish club.
What percent of the science club is also in the Spanish club?
Answer:
Step-by-step explanation:
Add 18+12=20
20-(5+4)=11
Make 11 into a fraction over 100. Then take your numerator and that is your percent. Make sure your percentage is behind the decimal.
What is the reciprocal: 4 2/3
Answer:42/3
=3/42
Step-by-step explanation:
Given points $A(2,3)$, $B(-1,4)$, and $C(-2,-2)$, determine point $D$ so that the slope from $A$ to $B$ equals the slope from $C$ to $D$, and the slope from $A$ to $D$ equals the slope from $B$ to $C$.
Answer:
D is approximately (-2, -1)
Step-by-step explanation:
[tex]{ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}[/tex]
[tex]{ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}[/tex]
Solve the green equation and blue equation simultaneously:
[tex]{ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}[/tex]
Let the co-ordinates of D be (a,b)
Slope of AB =Slope of CD[tex]\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}[/tex]
[tex]\\ \tt\hookrightarrow -a-2=2b+4[/tex]
[tex]\\ \tt\hookrightarrow a+2b+6=0\dots(1)[/tex]
Slope of AD=Slope of BC[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6[/tex]
[tex]\\ \tt\hookrightarrow 6a-12=b-3[/tex]
[tex]\\ \tt\hookrightarrow 6a-b-9=0\dots(2)[/tex]
Multiplying 2 with eq(2)
[tex]\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)[/tex]
Add eq(1) and (3)[tex]\\ \tt\hookrightarrow 13a-12=0[/tex]
[tex]\\ \tt\hookrightarrow a=12/13=0.9\to 1[/tex]
Put in eq(1)[tex]\\ \tt\hookrightarrow 12/13+2b+6=0[/tex]
[tex]\\ \tt\hookrightarrow 90/13=-2b[/tex]
[tex]\\ \tt\hookrightarrow b=-90/26=-3 4\to 3[/tex]
Which choice is the solution to the inequality below?
[tex]9x \leqslant 72[/tex]
A.
[tex]x \leqslant 63[/tex]
B.
[tex]x \leqslant 2[/tex]
C.
[tex]x \geqslant 8[/tex]
D.
[tex]x \geqslant8[/tex]
Answer:
x<= 8 ( Answer not in the given options)
Step-by-step explanation:
9x <= 9
divide both sides by 9 to get x
9x <= 72
9 9
x <= 8
Does (2,0) work as a solution to the systems of equations to lines 3x+y=6 and 3x-y=6
Answer:
Yes
Step-by-step explanation:
To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.
3x + y = 6:
[tex]3(2) + 0 = 6[/tex] [tex]6 + 0 = 6[/tex] [tex]6 = 6[/tex] (2,0) is a solution to this equation.3x - y = 6:
[tex]3(2) - 0 = 6[/tex] [tex]6 - 0 = 6[/tex] [tex]6 = 6[/tex] (2,0) is a solution to this equation.Therefore, the answer is yes, it does work as a solution.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
type of solution for x(5−2)=4x−x
Answer:
X=2
Step-by-step explanation:
X(5-2)=4x-x
5x-2x=4x-x (then moving everything to one side)
5x-2x-4x+x=0 (5x-4x-x=5x-5x which is 0)
-2x=0
X=2
Is 3 a solution to the equation: 3x + 2 = 2x + 4 + x? (Show Work) You are NOT solving for x
Answer:
x = 3 is NOT a solution. See image.
Step-by-step explanation:
If x = 3 was the solution to the given equation, then it will make a true sentence when we put 3 in place of x. It does not. See image.
