The given equation is expressed as
2/3(9x - 6) - 4 = 9x - 6
The first step is to multiplyboth sides of the equation by 3. It becomes
2*3/3(9x - 6) - 4*3 = 3(9x - 6)
2(9x - 6) - 12 = 3(9x - 6)
18x - 12 - 12 = 27x - 18
27x - 18x = - 12 - 12 + 18
9x = - 6
x = - 6/9
x = - 2/3
To determine 3x - 2, we would substitute x = - 2/3 for x. It becomes
3 * - 2/3 - 2
= - 2 - 2
= - 4
The correc option is A
16) A rectangle has dimensions of 10 feet by
18 feet. What is the length of the
diagonal?
A) 28 feet B) 20.6 feet
C) 15 feet
D) 424 feet
Answer:
Step-by-step explanation: 20.6 rounded to the nearest tenth.
what's the solution of the equation 4[x+2(3x-7)]=22x-65
Answer:
x = -3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+2(3x−7))=22x−65
Step 1: Simplify both sides of the equation.
4(x+2(3x−7))=22x−65
(4)(x)+(4)(2(3x−7))=22x+−65(Distribute)
4x+24x+−56=22x+−65
(4x+24x)+(−56)=22x−65(Combine Like Terms)
28x+−56=22x−65
28x−56=22x−65
Step 2: Subtract 22x from both sides.
28x−56−22x=22x−65−22x
6x−56=−65
Step 3: Add 56 to both sides.
6x−56+56=−65+56
6x=−9
Step 4: Divide both sides by 6.
6x = -9
6 6
x = -3/2
2x + 3y = 12
Complete the missing value in the solution to the equation.
1,8)
Answer:
Step-by-step explanation:
\(\mathrm{Slope-Intercept\:form\:of}\:2x+3y=12:\quad y=-\frac{2}{3}x+4\\\mathrm{Domain\:of\:}\:-\frac{2}{3}x+4\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\mathrm{Range\:of\:}-\frac{2}{3}x+4:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)
\(\mathrm{Parity\:of}\:-\frac{2}{3}x+4:\quad \mathrm{Neither\:even\:nor\:odd}\\\mathrm{Axis\:interception\:points\:of}\:-\frac{2}{3}x+4:\quad \mathrm{X\:Intercepts}:\:\left(6,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:4\right)\\\mathrm{Inverse\:of}\:-\frac{2}{3}x+4:\quad -\frac{3x-12}{2}\\\mathrm{Slope\:of\:}-\frac{2}{3}x+4:\quad m=-\frac{2}{3}\)
Find the value of c such that lim f(x) exists.
f(x) = 4 – 0.5x. x < 2
√x+c. x > 2
Answer:
c=7
Step-by-step explanation:
because the limit exists and this is a piecewise function, we can assume that f(2) is a removable discontinuity and that both equations should be the same.
we can equal them to each other, plug in 2 for x and solve for c.
root(x + c) = 4 - .5x
root(2 + c) = 4 - .5(2)
root(2 + c) = 3
2 + c = 9
c = 7
The Cooking Club made some pies to sell during lunch to raise money for a fieldtrip. The cafeteria helped by donating 5 pies to the club. Each pie was then into 8 pieces and sold. There were a total of 64 pieces to sell. How many pies did the club make?
Answer:
I think the club made 3 pies.
Step-by-step explanation:
64 divided by 8 is 8. And 8 minus 5 is 3.
Jordan has 3.2 liters of paint left after painting the scenery for the school play. How can she convert this number to find how many milliliters of paint she has left?
A. Multiply by 100
B. Multiply by 1,000
C. Divide by 100
D. Divide by 1,000
Cual es la distancia que recorrió luis en su bicicleta rodada 20p (2.54) después que las llantas dieran 50 vueltas completas
porfaaa
Luis traveled approximately 31,736.8 inches on his bicycle.
We have,
To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.
Given:
Radius of the tires (r) = 20p (2.54) inches
Number of complete turns (n) = 50
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Substituting the given radius into the formula, we have:
Circumference = 2π * (20p) inches
Now we can calculate the distance traveled (d):
Distance = Circumference x Number of complete turns
Distance = 2π x (20p) x 50 inches
To simplify the calculation, we can approximate π as 3.14:
Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches
Calculating this expression, we find:
Distance ≈ 31736.8 inches
Therefore,
Luis traveled approximately 31,736.8 inches on his bicycle.
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The complete question.
What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns
Find x and please show your work
2.5x = 60
x = 60 / 2.5
x = 24
Answer:
I have made it in above picture
hope it helps
Solve the formula Ax + By = C for X
Answer:
Step-by-step explanation:
Ax+By=C
Ax=C-By
x=C-By/A
ANSWER PLS! ASAP whoever answers first gets BRAINLIEST AND 15 PTS! make sure you are right and your answer is correct!
Answer:
- \(\frac{1}{6}\) and 1 \(\frac{1}{6}\)
Step-by-step explanation:
we require to calculate
\(\frac{1}{2}\) - \(\frac{2}{3}\)
= \(\frac{3}{6}\) - \(\frac{4}{6}\)
= - \(\frac{1}{6}\)
and
\(\frac{1}{2}\) + \(\frac{2}{3}\)
= \(\frac{3}{6}\) + \(\frac{4}{6}\)
= \(\frac{7}{6}\)
= 1 \(\frac{1}{6}\)
which fraction is equal to 0.5 7
The value of fraction 0.5 7 is equal to 1/2.
We are given that;
Number = 0.57
Now,
There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.
For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.
Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.
These fractions are equivalent because they have the same value when simplified or reduced.
To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).
Therefore, by algebra the answer will be 1/2.
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Graph the line y=kx+1 given that the point M belongs to the line. M (1, 3)
The graph of the equation of the line y = k · x + 1 is shown in the image attached below.
How to derive and graph the equation of a line
In this problem we know that a function represents a line and that a point belongs to it. The equation of the line is of the form:
y = k · x + 1
Where k is the slope of the line equation.
If we know that (x, y) = (1, 3), then the equation of the line is:
3 = k + 1
k = 2
Then, the equation of the line is y = 2 · x + 1 and we proceed to graph the equation by means of a graphing tool. The result is presented in the image attached below.
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A single 6-sided die is rolled. Which BEST describes the probability of rolling a number 4 or less? 1) A ) impossible B) unlikely likely certains
Answer:
it is likely because the majority of the outcomes are in your favor
Answer:
A
Step-by-step explanation:
Impossible, did it on usatestprep
The following are the ages (years) of 5 people in a room: 12, 20, 22, 22, 23 A person enters the room. The mean age of the 6 people is now 23. What is the age of the person who entered the room?
Answer:
39
Step-by-step explanation:
12+20+22+22+23=99
new mean=23
23*6=138
138-99=39
3x+4
12. Simplify +
x+2
x²+2x
2x+4
Answer:
\(\dfrac{x^2+8x+8}{2x+4}\\\\\)
Step-by-step explanation:
Simplify:
\(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)
Multiply the denominator and the numerator of the first term by 2,
\(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)
\(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)
find the values of a and b such that x^2-4x+9=(x+a)^2+b
Answer:
a = -2; b = 5
Step-by-step explanation:
Expanding the right side of the given equation, we have ...
x^2 -4x +9 = x^2 +2ax +a^2 +b
Comparing coefficients, we see ...
-4 = 2a . . . . . coefficient of x term
9 = a^2 +b . . . constant term
The first of these tells us ...
-2 = a . . . . divide by 2
The second of these tells us ...
9 = (-2)^2 +b . . . substitute for a
5 = b . . . . subtract 4
The values of a and b are (a, b) = (-2, 5).
Answer:
a=-2
b=5
Step-by-step explanation:
type this on mathswatch and you will get it right
One number is 7 less than a second number.Twice the second number is 2 less than 4 time the first
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
3) 15x + 4 = 106
Can someone show me the steps ? Pls :)
1) Subtract 4 from both sides to get 15x = 102
2) Divide by 15 on both sides to get x = 6.8
Answer:
x=6.8
Step-by-step explanation:
15x + 4 = 106
subtract 4 from both sides
15x=102
divide both sides by 15
x=6.8
When you need a fraction of a number, likeſ of 9, how do you find out how much you need?
A
You add the fraction to the number.
B
You subtract the fraction from the number.
с
You divide the number by the fraction.
D
You multiply the number by the fraction,
Answer:
D) Multiply
Explanation:
The word "of" usually means you multiply.
the sum of five and five times a number is -50 what is the number?
Answer: -10
Step-by-step explanation:5x-10= -50
n = - 11
Step-by-step explanation:Hi there !
5 + 5n = - 50
5n = - 50 - 5
5n = - 55
n = - 55/5
n = - 11
Good luck !
Jeffrey by 203 sheets of stickers each sheet has a dozen stickers he gave away 907 stickers to his friends and family on Valentine’s Day how many stickers does Jeffrey have remaining
Answer:
1529
Step-by-step explanation:
203*12
2436-903
1529
Answer:
1529 stickers left
Step-by-step explanation:
203 × 12 = 2436
2436 - 907 = 1529
A schoolteacher would like to know whether or not toothpaste brands are used differentially in her classroom (in other words, is one brand preferred over the others?). She asks her students to report which of three brands they use: Crest, Colgate, or Aquafresh. Below are the numbers of students who use each type of toothpaste (notice there are 45 students total in her class). Test her hypothesis using an alpha level of .05.
Crest Colgate Aquafresh
24 13 8
a. What test is appropriate for this analysis?
b. State the null hypothesis:
c. State the alternative hypothesis:
d. Find the critical value:
e. Calculate the test statistic:
f. Make a decision:
Answer:
Step-by-step explanation:
a. What test is appropriate for this analysis?
A Chi-square test of independence is appropriate for this analysis because it is used to compare two variables or testing relationship on categorical variables.
b. State the null hypothesis:
The null hypothesis is the default hypothesis
\(\mathtt{H_o:}\) There is no particular preference for any brand of toothpaste among students.
c. State the alternative hypothesis:
The alternative hypothesis is the research hypothesis which comes in place to challenge the validity of the null hypothesis.
\(\mathtt{H_a:}\) There is particular preference for brands of toothpaste among students.
d. Find the critical value:
degree of freedom = n-1
degree of freedom = 3 - 1
degree of freedom = 2
At the level of significance ∝ = 0.05
The confidence interval = 0.95 and degree of freedom = 2, the critical value from the chi-square distribution table = 5.991
e. Calculate the test statistic:
Using the chi square test statistics; we have the following:
Crest Colgate Aquafresh Total
24 13 8 45
Since we have three brands. Then, for each brand, the expected value
= Total /3
= 45/3
=15
Thus:
Chi -square \(\mathtt{X^2 = \dfrac{(observed \ value - expected \ value)^2}{expected \ value}}\)
\(\mathtt{X^2 = \dfrac{(24 - 15)^2}{15} + \dfrac{(13 - 15)^2}{15} + \dfrac{(8 - 15)^2}{15} }\)
\(\mathtt{X^2 = \dfrac{81}{15} + \dfrac{4}{15} + \dfrac{49}{15} }\)
\(\mathtt{X^2 = \dfrac{81+4+49}{15}}\)
\(\mathtt{X^2 = \dfrac{134}{15}}\)
\(\mathtt{X^2 =8.93 }\)
f. Make a decision:
Since the chi-square value is greater than the critical value , we reject the null hypothesis and conclude that the students have particular preference for brands of toothpaste.
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
what is the volume of the prism shown by the net The net forms a right rectangular prism.
The volume of the right rectangular prism is 1/18 cubic feet.
What is a rectangular prism?
A rectangular prism is a three-dimensional shape with six rectangular faces. It is also known as a rectangular parallelepiped or a rectangular cuboid.
The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height of the prism, respectively.
In this case, the length l is 2/3 ft, the width b is 1/3 ft, and the height h is 1/4 ft. Therefore, the volume of the prism is:
V = lbh = (2/3 ft)(1/3 ft)(1/4 ft) = 1/18 cubic feet
So the volume of the right rectangular prism is 1/18 cubic feet.
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Wanda's homework was to find 73% of $400
A tape diagram. 0 dollars is 0 percent. Question mark dollars is 73 percent. 400 dollars is 100 percent. (7.3) (400) = 2,920. 73 percent of 400 dollars is 2,920 dollars.
What error did Wanda make?
O None. Wanda’s work is correct.
O Wanda converted the percent to a decimal incorrectly. It should be 0.073.
O Wanda converted the percent to a decimal incorrectly. It should be 0.73.
O Wanda has the wrong label. It should be hours, not dollars.
btw im asking these questions for people who doesnt have these questions
Answer: C because she went back to im just trying to help the team out
Answer:
(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.
I answer (C) and it was correct.
Step-by-step explanation:
Give the other person brainliest ↑↑
hope it helps
Plz help me thank you
Answer:
Hope this helps
Step-by-step explanation:
1 = 5
10 = 50
20 = 100
a = 150
A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find the side length of the square base
Answer:
40ft
Step-by-step explanation:
The volume of a square pyramid is given by:
\(V=\frac{l^2h}{3}\)
where V is the volume, l is the length of the square base, and h is the height.
Since we need to find the length, we solve for \(l\) in the last equation:
\(l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }\)
and now, we substitute the known values:
\(V=19,200ft^3\\h=36ft\)
and we get the following:
\(l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft\)
the length of the square base is 40ft
The table shows the altitude, in feet, of an airplane at certain times during its flight from Baltimore to Orlando since its departure at 11:00am. Find the equation for the curve of the best fit, then predict the altitude of the plane at 1:00 pm.
Answer:
around 8,000
Step-by-step explanation:
its because we can see that it roughly increases and decreases by 2000, its my guess, tell me how u get on
You spin each spinner and find the sum. How many different sums are possible?
these are the spinners:
The different sums are possible are 18.
As, the number of different sums possible is given by the equation:
Number of different sums = n x m
In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.
So, the different sums are possible
= 2 x 3 x 3
= 18
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