Answer:
x = y+2/3
Step-by-step explanation:
y = 3x-2
+2
2+y = 3x
Divide by 3
2+y / 3 = x
Simplify this expression.
3a/9(a + b)
Enter the correct answer.
Answer:
a / 3(a + b).
Step-by-step explanation:
3a / (9(a + b))
The 3/9 cancels to 1/3 so the answer is
a / 3(a + b)
Answer:
a/3(a+b)
Step-by-step explanation:
We can divide both the top and bottom of the expression by 3 to reduce the fraction. This gives us a/3(a+b), which is fully reduced.
what is the mean for the data set 138 140 105 112 108 134 106 181 164 105
Answer:
the mean for the data set is 129.3
Examine the diagram, and answer the question. The points A(2,7) and B(−4,−3) are located in the coordinate plane as shown. Points A and B are shown in the coordinate plane at the locations indicated. What is the approximate distance between the two points?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The given points are A(2, 7) and B(-4, -3)
Distance between these points will be,
AB = [tex]\sqrt{(2+4)^2+(7+3)^2[/tex]
= [tex]\sqrt{6^2+10^2}[/tex]
= [tex]\sqrt{136}[/tex]
= 11.66
≈ 11.7 units
Therefore, distance between the points A and B is 11.7 units.
Option (2) will be the answer.
Answer:
For those with the square root answer its 2\sqrt(34)
Step-by-step explanation:
Someone help me do this? For math
Answer:
1, 4, 5, 7, 8
Step-by-step explanation:
once you plot the points you will see that these coordinates are inside the star
Find the mid points of the line joining the pairs of points a.(3,4) and (5,2) b.(0,6) and (4,0) c.(4,2) and (4,-4) d.(-1,-5) and (-3,4) e.(-3,2) and (8,-2)
Answer:
a(4,3). b( 2,3). c(4,-1). d(-2,-1/2). e(5/2, 0).
Step-by-step explanation:
Hello , I can help you with that
the mid point is given by
Let
Point 1
[tex](x_{1},y_{1})[/tex]
Point 2
[tex](x_{2},y_{2})[/tex]
the midpoint is(m)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )[/tex]
all you have to do is to put those values into the equation
Step 1
P1(3,4) and P2(5,2)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{3+5}{2},\frac{4+2}{2} )\\m=(\frac{8}{2},\frac{6}{2} )\\m=(4,3)[/tex]
Step 2
P1(0,6) and P2(4,0)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{0+4}{2},\frac{6+0}{2} )\\m=(\frac{4}{2},\frac{6}{2} )\\m=(2,3)[/tex]
Step 3
P1(4,2) and P2(4,-4)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{4+4}{2},\frac{2-4}{2} )\\m=(\frac{8}{2},\frac{-2}{2} )\\m=(4,-1)[/tex]
Step 4
P1(-1,-5) and P2(-3,4)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-1-3}{2},\frac{-5+4}{2} )\\m=(\frac{-4}{2},\frac{-1}{2} )\\m=(-2,\frac{-1}{2} )[/tex]
Step 5
P1(-3,2) and P2(8,-2)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-3+8}{2},\frac{2-2}{2} )\\m=(\frac{5}{2},\frac{0}{2} )\\m=(\frac{5}{2} ,0)[/tex]
I really hope it helps you, have a nice day
Please help me with this question.
Answer: a) 110√2 meters
b) 2.42 hectares
Step-by-step explanation:
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]
b) Area of a square is side squared. 10,000 meters² = 1 hectare
[tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]
Marlon earns 1500 dollars each month he pays rent of 525 dollars each month Find the amount he pays in rent as a percentage of his earnings.
Answer:
35%
Step-by-step explanation:
He pays 525 out of 1500 dollars.
525/1500 = 7/20
= 0.35
Marlon pays in rent 35% of his earnings.
The radius of circle C is 6 units and the measure of central angle ACB is StartFraction pi Over 2 EndFraction radians. What is the approximate area of the entire circle? square units What is the approximate area of the entire sector created by central angle ACB? square units What is the approximate area of the shaded region only? square units
Answer:
Step-by-step explanation:
We khow that the radius of our circle is 6
Let A be the area of our cercle :
A= 6^2*Pi = 36 Pi = 113.09 sq.units
We khow that the mesure of our angle ABC is Pi over 2 wich is 90 degree
So this triangle ABC is a right one .
So I think that we must khow the area of this triangle to be able to khow the area of the sector .
We have a hint : ABC is 90 degree so it is the quarter of our cercle
We need to divide the area of the circle by 4
113.09 ÷4 = 28.27
Answer:
113
28
22
Step-by-step explanation:
find the gradient of the curve y=x^2 + 5x-3 at the point x= 2.
please help.
Answer:
gradient = 9
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is a measure of the gradient.
Differentiate y using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]
Given
y = x² + 5x - 3, then
[tex]\frac{dy}{dx}[/tex] = 2x + 5
x = 2 : [tex]\frac{dy}{dx}[/tex] = 2(2) + 5 = 4 + 5 = 9 ← gradient
A group of 20 people visited Anglesey for a weekend break.
• 10 of the group visited Beaumaris Castle.
• 13 of the group visited South Stack Lighthouse.
• 4 of the group did not visit either of these places.
Complete the Venn diagram below by stating the number of people in each region A,B,C and D to show this information.
The universal set, ε, contains all of the 20 people in the group.
Answer:
A = 4, B = 3, C = 7, D = 6
Step-by-step explanation:
A = 4 because A represents the number of people who didn't visit either place. This means that B + C + D = 20 - 4 = 16. To find C, which is the overlap we can do 10 + 13 - 16 = 7 so C = 7 which means B = 10 - 7 = 3 and D = 13 - 7 = 6.
Answer:
A = 4, B = 3, C = 7, D = 6
Step-by-step explanation:
The sum of two numbers is 3 more than four times the first number. Their difference is 10 less than twice the second number. Find each of the numbers.
Answer:
x=1/8
y=27/8
Step-by-step explanation:
First number=x
Second number=y
x+y=4x+3
x-y=2y-10
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 290 people over the age of 55, 68 dream in black and white and among 288 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion of those underIdentify the test statistic?Identify the p value?Test the claim by constructing an appropriate confidence level?What is the conclusion base on the hypothesis test?What is the conclusion base on the confidence level?
Answer:
he proportion of people over 55 who dream in black and white is greater than the proportion of those under.
The proportion of people over 55 who dream in black and white lies in the range (0.112, 0.226).
Step-by-step explanation:
In this case we need to determine if the proportion of people over 55 who dream in black and white is greater than the proportion of those under.
The hypothesis can be defined as follows:
H₀: The proportion of people over 55 who dream in black and white is not greater than the proportion of those under, i.e. p₁ - p₂ ≤ 0.
Hₐ: The proportion of people over 55 who dream in black and white is greater than the proportion of those under, i.e. p₁ - p₂ > 0.
The information provided is:
n₁ = 290
n₂ = 288
X₁ = 68
X₂ = 19
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{68}{290}=0.235\\\\\hat p_{2}=\frac{X_{2}}{n_{1}}=\frac{19}{288}=0.066\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{68+19}{290+288}=0.151[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.235-0.066}{\sqrt{0.151(1-0.151)[\frac{1}{290}+\frac{1}{288}]}}\\\\=5.67[/tex]
The test statistic value is 5.67.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>5.67)\\=1-P(Z<5.67)\\=1-\approx1\\=0[/tex]
The p-value of the test is quite small.
The null hypothesis will be rejected at 5% significance level.
Thus, the proportion of people over 55 who dream in black and white is greater than the proportion of those under.
The significance level of the test is 5%.
Then the confidence level will be:
Confidence level = 100% - Significance level
= 100% - 5%
= 95%
Compute the 95% confidence interval for the difference between proportions as follows:
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p{2})}{n_{2}}}[/tex]
The critical value of z for 95% confidence level is z = 1.96.
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p{2})}{n_{2}}}[/tex]
[tex]=(0.235-0.066)\pm1.96\cdot\sqrt{\frac{0.235(1-0.235)}{290}+\frac{0.066(1-0.066)}{288}}\\\\=0.169\pm 0.057\\\\=(0.112, 0.226)[/tex]
The null hypothesis would be rejected if the null value, i.e. (p₁ - p₂) ≤ 0 is not contained in the interval.
The 95% confidence interval consist of values greater than 0.
Thus, the null hypothesis will be rejected.
Concluding that the proportion of people over 55 who dream in black and white lies in the range (0.112, 0.226).
Which expression is equivalent to 5(9 + 7). I will mark brainliest if you answer. DatGuy323 I like You! Answer please
Answer: 80
Step-by-step explanation:
[tex]5(9+7)\\\\Parenthesis\\\\5(16)\\\\Multiply\\\\80[/tex]
Hope it helps <3
Find the area of the following
parallelogram:
1.5 cm
2.5 cm
2.25 cm
A= [?] cm
Answer:
given,
base (b) = 2.25cm
height (h) = 1.5 cm
now,
area (a) = b×h
or, a=2.25cm×1.5cm
therefore the area of parallelogram is 3.375cm^2.
hope it helps..
Answer:3.375 cm²
Step-by-step explanation:
Find the area of the following
parallelogram:
1.5 cm
2.25 cm
Solution:
(1.5×2.25)cm²
= 3.375 cm²
Hope it helps
***BRAINLIEST IF ANSWERED*******
Which trigonometric ratio is correct for triangle DEF? (Hint: Use Pythagorean Theorem first) *
Sin(D)= 24/7
Tan(D)= 24/25
Cos(E)= 24/25
Sin(E)= 7/24
Answer:
First find line DE using Pythagoras theorem
That's
DE² = 7² + 24²
DE = √ 49 + 576
DE = 25
The correct trigonometric ratio for triangle DEF is
Cos(E) = 24/25
Hope this helps
Answer:
Cos(E) = 24/25
Step-by-step explanation:
Pick all that apply the option answer in two minutes
Answer: PQT and TUV
Step-by-step explanation:
a fruit drink is made by mixing 60ml of orange juice with 180ml of pineapple juice. what is the ratio of orange juice to pineapple juice in its simplest form?
Answer:
1:3
Step-by-step explanation:
both divide by 60 so do 60 divided by 60 which is one
then 180 divided by 60 which is three
this gives you the answer
Answer:
1:3
Step-by-step explanation:
a ratio is basically the same as a fraction just in a different form. so it would be 60/180 simplified. both 60 and 180 can be divided by 60. so you would divide both numbers by 60 to get 1/3. this cannot be simplified any further. then to put it as a ratio it would just be 1:3
A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from. Different platters can be created by changing the size and/or the choice of vegetables. If Selena wants to order a platter with exactly 2 different vegetables, how many different platters could she create?
Answer:
The number of different platters Selena can create by selecting two different vegetables is 60 different platters
Step-by-step explanation:
The information given are;
The number of different sizes of salad available = 4
The number of different vegetable to choose from = 6
The number of vegetables Selena ordered = 2
The number of ways Selena can choose 2 vegetables out of 6 = ₆C₂ = 15 ways
The number of different platters (choice of vegetable and size of platter) Selena can create = The number of different sizes of salad available × The number of ways Selena can choose the vegetables
The number of different platters (choice of vegetable and size of platter) Selena can create = 4 × 15 = 60 different platters.
which equation describes this line? A. y-3=2(x-2) B. y-9=2(x-1) C. y-1=2(x-9) D. y-2=2(x-3)
Answer:
y = 2x + 7
Step-by-step explanation:
Step 1: Find slope
m = (9 - 3)/(1 + 2)
m = 2
y = 2x + b
Step 2: Find b
9 = 2(1) + b
9 = 2 + b
7 = b
Step 3: Rewrite equation
y = 2x + 7
Answer:
B) y - 9 = 2(x - 1)
Step-by-step explanation:
(-2, 3) ;(1,9)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-3}{1-[-2]}\\\\=\frac{6}{1+2}\\\\=\frac{6}{3}\\\\=2[/tex]
(1, 9 ) ; m = 2
Equation: [tex]y - y_{1}=m(x - x_{1})\\\\[/tex]
y - 9 = 2(x - 1)
y - 9 = 2x -2
y = 2x - 2 + 9
y = 2x + 7
бу2 + 13y – 8 how to factorize this?
Answer:
We have 6y² + 13y - 8. We can rewrite this as 6x² + 16x - 3x - 8. Grouping terms we get 2x(3x + 8) - (3x + 8) and since both terms have the common factor of (3x + 8) the answer is (3x + 8)(2x - 1).
Can someone help me with this
Hey there! :)
Answer:
m∠y = 55°.
Step-by-step explanation:
Begin by solving for x since y and x are supplementary angles.
Recall that all of the angles in a triangle must sum up to 180°. Therefore:
180 - 30 - 25 = 125°.
x = 125°, therefore:
180 - 125 = 55°.
m∠y = 55°.
Answer:
55 Degrees
Step-by-step explanation:
The remote interior angle theorem states that to find the value of and exterior angle (y) you need to add the two remote interior angles. (25&30)
Classify the following triangle. Check all that apply.
Answer:
NO
Step-by-step explanation:
IMAGE
The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350. Which of the fallowing could be combination of values for the plumbers work hours and total work fee she charges ?
Answer: $70 per hour
Step-by-step explanation:
Hi, to answer this question we have to calculate the hourly fee.
To do this, we simply have to divide the 5 hour fee price (350) by the number of hours worked.(5):
Mathematically speaking:
350/5 = $70 per hour
So, since the work fee is proportional, for x hours, the expression is:
70x
Feel free to ask for more if needed or if you did not understand something.
Y=x+3 y=2x+5 System of equations using Substitution
Answer: (-2,1)
Step-by-step explanation:
y=x+3
y=2x+5 substitute the y value in the first equation into the second equation
x+3 = 2x+5 now solve for x
-3 -3
x = 2x +2 subtract 2x from both sides
-2x -2x
-1x = 2 Divide both sides by -1
x= -2
The value of x is -2 to plot it into one of the equations to solve for y.
y= -2 + 3
y = 1
(-2,1)
Answer: x = − 2 and y = 1
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
/| y-x-3 = 0| y-(2*x)-5 = 0
We try to solve the equation: y-x-3 = 0
y-x-3 = 0 // + -x-3
y = -(-x-3)
y = x+3
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| x-(2*x)-5+3 = 0| y = x+3
-x-2 = 0 // + 2
-x = 2 // * -1
x = -2
We insert the solution into one of the initial equations of our system of equations
For y = x+3:
y = 3-2
y = 1
We get a system of equations:
/| y = 1| x = -2
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true? A. GH = G'H' B. G'G = 8 units C. m∠HIJ = m∠H'I'J' D. m∠HI'J = m∠H'IJ'
Answer:
The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.
The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other
Answer:
-3/2
Step-by-step explanation:
Let x be the missing number
x*[tex]\frac{14}{25}[/tex] = [tex]\frac{-28}{75}[/tex] x = [tex]\frac{-28}{75}[/tex] * [tex]\frac{25}{14}[/tex] inverse 14/25 since it's a fraction x = [tex]\frac{-28*25}{75*14}[/tex] x = [tex]\frac{-4*7*25}{25*3*7*2}[/tex] write 75 as 25*3 and -28 as -4*7 to simplify x = [tex]\frac{-4}{6}[/tex] -4 is left on the top and 6 = 3*2 x = [tex]\frac{-3*2}{2*2}[/tex] x= [tex]\frac{-3}{2}[/tex]Classify each situation as exponential growth or exponential decay.
Answer:
Step-by-step explanation:
Exponential Growth:
1). The value of a home in a growing community every year.
2). The amount of money in a saving account that earns interest annually.
Exponential decay:
1). The monthly sale of albums of a band whose popularity is declining.
2). The amount of radioactive element remaining in a sample every decade.
3). The temperature of a hot cup of coffee left on the counter every minute.
What is an equation of the line that is perpendicular to y=−34x+6 and passes through the point (3, 9)?
Answer:
y = 4/3x + 5
Step-by-step explanation:
if the slope is -3/4 then the perpendicular slope is 4/3
y = mx + b
9 = 4/3(3) + b
9 = 4 + b
5 = b
y = 4/3x + 5
Which of the following compositions of transformations will always produce the same image, regardless of the order in which the transformations are performed?
Answer:
All compositions are affected by the order in which they are performed
Step-by-step explanation:
We have the following transformations:
-translation
-reflection
-rotation
Each of them are affected by the order in which they are performed, for example:
If we rotate we have:
(x, y) -> (y, -x).
After the reflection:
(y, -x) -> (-y, -x).
If we translated by <2, 5> and reflected through the y-axis:
After the translation, (x, y) -> (x + 2, y + 5)
In other words, all compositions are affected by the order in which they are performed
Find the value of x needed to make the equation below true. 1.5(2x-4)=2(4x+2)
Answer:
x= -2
Step-by-step explanation:
1.5(2x-4)=2(4x+2)
3x-6=8x+4
-5x=10
x= -2