Step-by-step explanation:
[tex]6x - 30 = 5(x - 4)[/tex]
[tex]6x - 30 = 5x - 20[/tex]
[tex]6x - 30 - 5x = - 20[/tex]
[tex]x - 30 = - 20[/tex]
[tex]x = - 20 + 30[/tex]
[tex]x = 10[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
A Pythagorean spiral is constructed by drawing right triangles on the hypotenuse of the other right triangles. Start with a right triangle in which each leg is 1 unit long. Use the hypotenuse of that triangle as one leg of a new triangle and draw the other leg 1 unit long. A spiral has been started below, continue the pattern until a spiral with 12 triangles is formed. 1. Determine the Tangent of the angle at the centre of the spiral for each of the first five triangles. 2. Use this pattern to predict the tangent of the 100th triangle.
Answer:
The angle is determined by dividing 360 by the number of vertexes that it took to complete the circle. The tangent of the 100th triangle would be the same respectively.
Step-by-step explanation:
I remember learning this in kindergarten.
Please help Asap, will give brainiest only if answer correctly with a good explanation
Answer:
D, or the last option.
Step-by-step explanation:
See how the rotation does not say whether it is Clockwise or Counterclockwise?
Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.
Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).
So, 90* rotation CCW. Simple! Thus, the last option should be correct.
Hope this helps!
P.S. Stay Safe!
If f(x) =27, then x=?
Answer:
x=1
Step-by-step explanation:
f(x)=27
y=27(x)
x=1
y=27
Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°.
Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15.
Which angle measures are correct? Select three options.
Answer:
Fist if all u will draw ur Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Secondly u will draw ur Parallel lines or angle.
Answer:
a c e
Step-by-step explanation:
solve the equation using square root 5x2-9=6
Answer:
Is this what you are looking for....
Answer:
x=±√3 or ±1.732
Step-by-step explanation:
5x²-9=6
5x²=6+9
5x²=15
x=±√15/5
x=±√3
Candice is analyzing the length of time of each song in her playlist. Complete the sentences with the correct terms. Candice wants one number to summarize all of the values in the data set, so she should find a measure of center . She can calculate the or the of the data set.
Answer:
Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set.
Step-by-step explanation:
Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.
The three measures of central tendency are:
Mean
Median
Mode
The mean is the average value of the data set.
The median is the middle value of the data, when arranged in ascending or descending order.
The mode of the data set is the value with the highest frequency.
The data collected by Candice is continuous and is measured on an interval scale.
The interval level of measurement classifies and arranges the data set. It also defines a specific difference between each interval of scale.
The measure of central tendency for an interval level of measurement are mean and median.
Thus, the complete sentence is:
"Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set."
numa prova de múltipla escolha com 30 questões, o aluno ganha 3 pontos por cada questão que acerta, mas perde 2 pontos por cada questão que erra. Marcelo resolveu todas as questões dessa prova e conseguiu 50 pontos. Quantas questões ele acertou?
Answer:
Marcelo acertou 22 questões.
Step-by-step explanation:
Vamos representar
Questões que acerta = a
Questões que erra = b
a + b = 30 .......... Equação 1
a = 30 - b
o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.
Matematicamente:
3 × a - 2 × b = 50
3a - 2b = 50 pontos ............. Equação 2
Substitua 30 - b por a na Equação 2
3 (30 - b) - 2b = 50
90 - 3b - 2b = 50
90 - 5b = 50
Colete termos semelhantes
90 - 50 = 5b
5b = 40
b = 40/5
b = 8
Questões que erra = b
Marcelo, portanto, perdeu 8 questões.
Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1
a + b = 30 .......... Equação 1
a + 8 = 30
a = 30 - 8
a = 22 questões.
Portanto, ele acertou 22 questões.
The canvas of a painting has an area of 64 ft2. What length of frame is needed for the border of the painting?
Answer:
8
Step-by-step explanation:
Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:
[tex]S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft[/tex]
Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.
Answer:
The answer is C: 32 ft
Step-by-step explanation:
If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.
Kala's final exam has true/false questions, worth 3 points each, and multiple choice questions, worth 4 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs at least 82 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
Answer:
3x + 4y ≥ 82
Step-by-step explanation:
3x + 4y ≥ 82
we can read as: 3 time of right answers of true/false plus 4 times of right answers of multiple choice must be bigger or at least 82
Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. h(x) = 5x – 5 h(x) = 5x + 5
Answer:
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B
If Marguerite rents for 1 week, it will cost her the same at either company
h(x) = 5x - 5
Step-by-step explanation:
Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5
Answer: Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. In one week there are 7 days, therefore in x weeks the cost of rentals are given below:
For company A: f(x) = 15(7x)
For company B: g(x) = 100x + 5
h(x) = f(x) – g(x) represents the difference between the two rate structures.
h(x) = f(x) - g(x) = 15(7x) - (100x + 5)
h(x) = 105x - 100x - 5
h(x) = 5x - 5
If Marguerite rents for 2 weeks:
The cost for company A = 15(7x) = 15(7 × 2) = $210
The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B
If Marguerite rents for 1 weeks:
The cost for company A = 15(7x) = 15(7 × 1) = $105
The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105
If Marguerite rents for 1 week, it will cost her the same at either company
Answer:
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.
h(x) = 5x + 5
those are the answers on edge
Step-by-step explanation:
A rectangle has a width of x centimeters and a length 10 centimeters longer than the width. If the total perimeter is 220 centimeters, what is the measure of the length?
Answer:
60cmStep-by-step explanation:
Given the width of a rectangle W = x centimeters
If the length is 10 centimeters longer than the width, then L = (10 + x)cm
Perimeter of the rectangle = 220 cm
To calculate the length, we need to first calculate the value of x. Using he formula for calculating the perimeter of a rectangle to get x;
Perimeter P = 2(L+W)
Substituting the value of the length and the width, we will have;
P = 2(10+x+x)
220 = 2(10+2x)
Dividing both sides by 2;
220/2 = 2(10+2x)/2
110 = 10+2x
2x = 110-10
2x = 100
x = 100/2
x = 50cm
Since the length of the rectangle L = 10+x
The length of the rectangle = 10+50 = 60 cm
Hence, the measure of the length is 60 cm
Answer:
60cms
Step-by-step explanation:
Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add
Answer:
24+x=40
Hope this helped
Answer:
hes right look up there
Step-by-step explanation:
hes right :) only for a p e x
a girl spent 2/3 of her pocket money and was left with $1800.00 . How much was her pocket money
Answer: She had $5400
Step-by-step explanation:
We will let x represent the total amount of money in her pocket .
So we know that 1/3 of x has to equal 1800 because 2/3 of the money is already been spent so 1/3 will of the money will be left.
1/3 * x = 1800 solve for x by divide both sides by 2/3
x=5400
Check.
1/3 * 5400 =1800
Pls answer the 9th question...plsss fast
Answer:
i) x = 65° ii) x = 60° iii) x = 34°
y = 50° y = 80° y = 124°
Step-by-step explanation:
i) x = 180-115= 65°
y = 65+65= 130
= 180-130= 50°
ii) x = 90+30= 120
180-120= 60°
y = 60+20= 80
180-80 = 100
180-100= 80°
iii) y = 34+90= 124
x = 180-124= 56
56+90= 146
180-146= 34°
I hope this helped, mark me brainliest please :)
Plz plz please answer it fast urgent
Answer - 1) -6/3
2)3/20
3)3/4
Hope this may helps you
Answer:
A.-2
B.its 3/20=0.15
C.3/4=0.75
The value of y at x=-1in the equation 5y=2 is
Answer: y = 2/5 --> y = 0.4
Step-by-step explanation:
5y = 2 is a horizontal line at y = 2/5
so the y-value is 2/5 = 0.4 at EVERY x-value.
A bicycle is on sale price for $300 it can be brought through a hire purchase with a deposit of $60 and 10%
interest the outstanding balance, to prepaid in 10 monthly installments calculate:
a)the amount of each monthly instalment
b)the total cost of buying the bicycle by hire purchase
Answer:
a) $26.4
b) $324
Step-by-step explanation:
Hire purchase is the purchase of an item which can be paid instalmentally.
The bicycle costs $300 for an instant purchase.
For a hire purchase, a $60 deposit must be made and the rest paid instalmentally over 10 months. An interest of 10% is included in the outstanding balance
The outstanding balance after paying deposit= $300 - $60 = $240
Hence, 10% of 240 = 10/100 × 240 = 24
An interest of $24 is added.
Therefore, a total of $240 + $24 = $264 will be paid for the next 10 months.
a) Hence, the amount to be paid in instalment each month is $264/10 = $26.4
b) the total cost of buying the bicycle by hire purchase= deposit amount + instalment price
= $60 + $264
= $324
Hence, a total of $324 will be paid for the bicycle by hire purchase.
N.B: $300 is the sale price + $24 interest
A tomato is cut into 8 slices. If each slice contains 0.12 grams of fiber, how can rounding be used to estimate the amount of fiber in the entire tomato?
Answer:
The amount of fiber in the entire tomato is approximately 1 g
Step-by-step explanation:
A tomato is cut into 8 slices.
1 slice contains 012 g of fiber
8 slices will contain;
[tex]\frac{8 * 0.12}{1}[/tex] g = 0.96g which equals to 1 g when rounded up nearest gram.
So the amount of fiber in the entire tomato is 0.96g ≈ 1g
What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?
a.the oval method
b.the divide-center method
c.the area method
d.the regression calculator method
ty if you answer! :3
Answer:
c.the area method
Step-by-step explanation:
A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.
In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers
Therefore the option c is correct
Answer:
c.the area method
Step-by-step explanation:
c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method c.the area method c.the area method
. What is half the next number in the pattern 1, 3, 9, 27, 81
A. 234
B. 67
D c. 468
0 0.76
Answer:
A. 243
Step-by-step explanation:
just multiply the next number by 3
81*3= 243
Answer:
[tex]\boxed{243}[/tex]
Step-by-step explanation:
The ratio can be found by dividing a term in the sequence by the previous term.
[tex]\frac{27}{9} =3[/tex]
Each term gets multiplied by 3 to get the next term.
[tex]81 \times 3 = 243[/tex]
An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)? WILL MARK BRAINLIEST
Answer:
The shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]
Step-by-step explanation:
This question requires an attachment (See attachment 1 for question)
Given
Cube Dimension: 20cm * 20cm
Required
Shortest path from A to B
For proper explanation, I'll support my answer with an additional attachment (See attachment 2)
The shortest path from A to B is Line labeled 2
But first, the length of line labeled 1 has to be calculated;
This is done as follows;
Since, the cube is 20 cm by 20 cm
[tex]Line1^2 = 20^2 + 20^2[/tex] (Pythagoras Theorem)
[tex]Line1^2 = 2(20^2)[/tex]
Take square root of both sides
[tex]Line1 = \sqrt{2(20)^2}[/tex]
Split square root
[tex]Line1 = \sqrt{2} * \sqrt{20^2}[/tex]
[tex]Line1 = \sqrt{2} * 20[/tex]
[tex]Line1 = 20\sqrt{20}[/tex]
Next is to calculate the length of Line labeled 2
[tex]Line2^2 = Line1^2 + 20^2[/tex] (Pythagoras Theorem)
Substitute [tex]Line1 = 20\sqrt{20}[/tex]
[tex]Line2^2 = (20\sqrt{2})^2 + 20^2[/tex]
Expand the expression
[tex]Line2^2 = (20\sqrt{2})*(20\sqrt{2}) + 20 * 20[/tex]
[tex]Line2^2 = 400*2 + 400[/tex]
Factorize
[tex]Line2^2 = 400(2+1)[/tex]
[tex]Line2^2 = 400(3)[/tex]
Take square root of both sides
[tex]Line2 = \sqrt{400(3)}[/tex]
Split square root
[tex]Line2 = \sqrt{400} * \sqrt{3}[/tex]
[tex]Line2 = 20 * \sqrt{3}[/tex]
[tex]Line2 = 20 \sqrt{3}[/tex]
The answer can be left in this form of solve further as follows;
[tex]Line2 = 20 * 1.73205080757[/tex]
[tex]Line2 = 34.6410161514[/tex]
[tex]Line2 = 34.64 cm[/tex] (Approximated)
Hence, the shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]
Answer:
44.72 cm
Step-by-step explanation:
1. This was marked correct by RSM
2. Unfold the cube, so that points A and B and on points diagonal from each other on a 40 cm x 20 cm rectangle. Now draw a line connecting points A to B. That is the hypotenuse of both triangles. Now according to the pythagorean theorem, the hypotenuse is √2000, which is equal to 5√20.
3. The answer is 44.72 cm
What is the measure of angle x?
10
20
30
40
Answer:
20
Step-by-step explanation:
Since 30 and 3x are complementary we can write:
30 + 3x = 90
3x = 60 so x = 20°.
Answer:
20
Step-by-step explanation:
30 + 3x = 90
=> 3x = 90 - 30
=> 3x = 60
=> x = 60/3
=> x = 20
pls mark me as brainleist :)
Resolve into factors.
a)x4-5x2y2+4y4
Answer:
(x - y)(x + y)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
Consider the factors of the coefficient of the [tex]y^{4}[/tex] term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)
The factors are - 1 and - 4 , thus
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
= (x² - y²)(x² - 4y²)
Both of these factors are differences of squares which factor in general as
a² - b² = (a - b)(a + b) , so
x² - y² = (x - y)(x + y)
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y)
Hence
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form
At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?
Answer: 270 chocolates
Step-by-step explanation:
Given the following :
Number of 5-year Olds = 5
Number of 6-year Olds = 5
Number of 7-year Olds = 5
Number of chocolates received by each child = 3 times as many chocolate as their age.
Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates
Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates
Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates
Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates
Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates
Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates
Totak number of chocolates altogether :
(75 + 90 + 105) = 270 chocolates
How many solutions does the equation 3x + 6 =- 1 - 3 + 4x have?
TWO
Zero
One
Infinitely many
Answer:
one solution
Step-by-step explanation:
3x + 6 =- 1 - 3 + 4x
Subtract 3x from each side
3x-3x + 6 =- 1 - 3 + 4x -3x
6 = -4+x
Add 4 to each side
6+4 = -4+4+x
10 =x
One solution
Answer:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.
Step-by-step explanation:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.
Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?
Answer:
He deposited 16 $5 bills.
Step-by-step explanation:
State your variables
let x be the number of $1 bills
let y be the number of $5 bills
Create a system of equations
x + 5y = 200 (eq'n 1 -- for amount of money)
x + y = 136 (eq'n 2 -- for number of bills)
Solve the system for y
I will solve using substitution. Rearrange eq'n 2 to isolate variable x.
x + y = 136
x = 136 - y (eq'n 3)
Substitute eq'n 3 into eq'n 1.
x + 5y = 200
136 - y + 5y = 200
136 + 4y = 200
4y = 64
y = 16
Solve for x to check answer
Substitute y = 16 into eq'n 2.
x + y = 136
x + 16 = 136
x = 120
Substitute x = 120 into eq'n 1.
x + 5y = 200
120 + 5(16) = 200
120 + 80 = 200
200 = 200
LS = RS Both sides are equal, so the solution is correct.
Therefore, Jack deposited 16 five dollar bills.
Please can someone help me ASAP
a) [tex]\frac{8}{2}[/tex]
b) [tex]\frac{9}{4}[/tex]
c) [tex]\frac{3}{-1}[/tex]
How many times does the graph of the function below intersect touch the x-axis? y= -3x^2 + x + 4
Answer:
2 times
Step-by-step explanation:
Well let's first graph the quadratic equation,
Look at the image below ↓
By looking at the image below we can tell that the graph touches the x axis 2 times at,
(-1,0)
(1 1/3,0)
Thus,
the parabola touches the x axis twice.
Hope this helps :)
Answer:
3
Step-by-step explanation:
What is the solution to the system of equations?
2/3x - 1/3y = -2
-2x + y = -6
There is no solution.
There are infinitely many solutions.
There is only one solution, (2, –2).
There is only one solution, (–2, –10).
Answer:
There is no solution.
Rewrite -2x + y = -6 so it starts with y =...
y = 2x - 6
Substitute that in 2/3x - 1/3y = -2 gives:
2/3x - 1/3*(2x -6) = -2
2/3x - 2/3x + 2 = -2
0 + 2 = -2
This statement is not true, and that means there is no solution.
Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?
Answer:
About 4.44
Step-by-step explanation:
Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:
40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.
40-x+x= x + 2x + 3 (2x)
40 = 3x + 3 (2x)
40 = 3x + 6x
40= 9x
40/9 = 9x/9
x= 4.44
Note: 2x represents doubling up the sales amount, which was left.
3x represents tripling the sales amount left.