Answer:
x = - 6/7
Step-by-step explanation:
To start, 1x is just 1 times x, which you can just write as x.
x+3 = 8x+9
Then, you can bring x over to the other side of the equation, meaning it becomes -x. You can also think about subtracting x from both sides so it cancels out on the left.
3 = 8x+9-x
Next, do the same for the 9, so your equation looks like this:
3-9 = 8x-x
Just simplify it:
-6 = 7x
Finally, divide -6 by 7 to find x.
So, x = -6/7
What is being constructed based on the markings in the following diagram?
Line AB with two points C and D on each side of the line; a circle is created with center C passing through point D, and the intersection of circle C with line AB creates points E and F such that point A is between points E and F and point F is between points A and B. Point G is not located on line AB and is on the same side as point D. A circle is created with center F and a radius of FG, and another circle is created with the same radius from point E. Points H and I are intersecting points of circles E and F, and a line is drawn through points H and I.
Inscribed regular hexagon
Inscribed equilateral triangle
Perpendicular line through a point off a line
Perpendicular line through a point on a line
Answer:
The correct option is;
Perpendicular line through a point off a line
Step-by-step explanation:
Based on the markings in the diagram, we have;
Marking points E and F along AB extended forms two points equidistant from the point C on the line AB
Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.
Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB
Hence the correct option is the construction of a perpendicular line through a point off a line.
The pieces on a chessboard are either white or black. Of the pieces remaining on a chessboard, the probability of randomly picking a white piece is 5/12 What is the probability of randomly picking a black piece?
A. 5/12
B. 1/2
C. 7/12
D. 2/3
7/12
12/12 is the total
So 12/12 minus 5/12 is 7/12
Correct me if I am wrong
Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
Answer:
C. f(x) = x4(x – a)(x – b)2
Step-by-step explanation:
just took the test on edge
A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².
How to interpret the graph?In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.
This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:
x⁴x - a(x - b)²In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².
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Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of the box?
192in³
275in³
37512 in³
425in³
Answer:
425 in.^3
Step-by-step explanation:
volume = length * width * height
Change all mixed numerals into decimals.
volume = 12.5 in. * 8.5 in. * 4 in.
Now use a calculator to multiply the three numbers together.
volume = 425 in.^3
ONE HUNDRED POINTS AND BRAINIEST! The table shows the grades earned by students in Mr. Rawson class on a math test.
Test grades
---------------------------------------------------------------
| 75.8 | 80.5 | 85.6 | 90.1 | 78.2 |
---------------------------------------------------------------
| 81.6 | 89.9 | 84.2 | 74.1 | 92.5 |
----------------------------------------------------------------
| 97.3 | 72.2 | 96.5 | 80.8 | 88.3 |
-----------------------------------------------------------------
| 94.0 | 87.9 | 76.9 | 93.7 | 73.5 |
-----------------------------------------------------------------
| 84.5 | 86.1 | 88.3 | 83.7 | 85.4 |
-----------------------------------------------------------------
A. Should the data be shown as a bar graph or a histogram?
B. Make an appropriate graph for the data. Be sure to label your graph.
Answer:
Histogram
Step-by-step explanation:
A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one
90°
30
==
Help me please
Answer:
90
Step-by-step explanation:
If there is a straight line and 1 angle is 90 degrees, the angle next to it is also 90 degrees.
Answer:
x = 90°
Step-by-step explanation:
Since x and 90° share the same straight line, they are supplementary, meaning they must add up to 180°. Hence x must be 180-90 = 90.
Which expression can be used to convert 100 USD to Japanese yen?
100usd[99.30487yen/1usd]
100usd[1usd/99.30487yen]
100usd[0.01007yen/1usd
100usd[99.30487usd/1yen]
Answer:
a. 100usd{99.30487yen/1usd}
Please help with this
Answer:
The answer would be D
Step-by-step explanation:
Answer:
D
The triangle moved 6 units right and one unit up.
Which equation matches the following graph?
Options:
y = x^2
y = -x^2
x = y^2
x = -y^2
The answer is: [tex]y=-x^2[/tex].
Hope this helps.
(1.3 x 10-2) (0.05) = ?
Answer:
=0.065x10−0.1
Step-by-step explanation:
(1.3x10−2)(0.05)
=(1.3x10+−2)(0.05)
=(1.3x10)(0.05)+(−2)(0.05)
=0.065x10−0.1
Answer: 0.55
Step-by-step explanation:
1.3 x 10= 13
13-2= 11
11 x 0.05= 0.55
BOOM! math.
3√81\125 simplyfy these
Answer:
[tex]\frac{27}{125}[/tex] or 0.216
Step-by-step explanation:
Assuming you meant 3 × (√81) ÷ 125 =
3 × 9 ÷ 125 =
27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216
Please help with this simple attachment Extremely Easy!
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex]1/12 \times 3/4[/tex]
[tex]3/48[/tex]
[tex]=1/16[/tex]
1/16 ft^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Complete each step in the following solution.
10x + 8 = 3(x – 2)
10x + 8 = 3x ___
7x = ___
x = -2
A: 10x + 8 = 3(x – 2)
10x + 8 = 3x – 6
7x = – 14
x = -2
Step 1 : Multiplying 3 with -2, we get -6
Step 2 : Subtract -6 and 8 , we get -14
Step 3 : We get x = -2
What is an equation?"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."
Given equation
10x + 8 = 3(x – 2)
In this step by multiplying 3 with -2, we get -6
10x + 8 = 3x - 6
Subtract the variables
Subtract -6 and 8 , we get -14
7x = -6 - 8
7x = -14
Divide with 7 on both sides, we get
x = -2
Hence these are the following steps to get x = -2
Step 1 : Multiplying 3 with -2, we get -6
Step 2 : Subtract -6 and 8 , we get -14
Step 3 : We get x = -2
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Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate?
Answer:
10$
Step-by-step explanation:
math
Answer:
10
Step-by-step explanation:
because i know
Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
B. 4
C. 6
D. -6
O E. -3
F. -4
Answer:
B. 4
Step-by-step explanation:
Rearrange the equation so that is in the form (ax² + bx + c = 0).
6x² - 3x + 36 = 5x² + 10x
x² - 3x + 36 = 10x
x² - 13x + 36 = 0
Now, factor the equation and solve for x.
x² - 13x + 36 = 0
(x - 4)(x - 9) = 0
x - 4 = 0
x = 4
x - 9 = 0
x = 9
The solutions to the equation are 4 and 9. The correct answer choice is B.
Answer:
The answer B.4
Step-by-step explanation:
Arrange the equation so that is in the form
(ax² + bx + c = 0).
6x² - 3x + 36 = 5x² + 10x
x² - 3x + 36 = 10x
x² - 13x + 36 = 0
the equation and solve for x.
x² - 13x + 36 = 0
(x - 4)(x - 9) = 0
x - 4 = 0
x = 4
x - 9 = 0
x = 9
At a cafe
2 teas + 1 coffee cost= £3.40
1 tea and 4 coffees cost=£7.30
Work out the cost of 1 tea and the cost of 1 coffee?
Step by step explanation, pleaseeeee
Answer:
cost of 1 tea= £1.08
cost of 1 coffee= £1.24
Step-by-step explanation:
Please see the attached picture for full solution
Mario earns money mowing his neighbors' lawns.
The revenue for mowing x lawns is (X) = 25x.
Mario's cost for gas and the mower rental is (x) = 6x + 15.
His profit from mowing x lawns is p(x) = (r- c)(X). What is p(x)?
A. p(x) = 31x+15
B. p(x) = 19x - 15
C. p(x) = 19x+ 15
O D. p(x) = 31x- 15
SUBMIT
Answer:
His profit from mowing x lawns is 19x-15
Step-by-step explanation:
Revenue for mowing x lawns = 25x
Cost for gas and the mower rental = 6x+15
We are supposed to find His profit from mowing x lawns
p(x) denotes His profit from mowing x lawns
Profit = Revenue - Cost
So,p(x)=25x-(6x+15)
p(x)=25x-6x-15
p(x)=19x-15
So, Option B is true
Hence His profit from mowing x lawns is 19x-15
Solve the inequality for x. –8x + 16 > –72 A) x 7 D) x > 11
Answer:
x < 11
Step-by-step explanation:
–8x + 16 > –72
Let's transfer the components which do not contain x to the right side and change sign of these components
-8x > -72 - 16
Now, we simplify the right side
-8x > -88
We then multiply both sides by (-1/8) and change the greater symbol to smaller symbol
(-1/8)*(-8)x < (-1/8)*(-88)
Finally, we simplify both sides to solve this inequality
x < 11
Hope this helps!
The function F is defined by f(x) = 3x-5 over x+6 find f(5x)
Answer:
[tex]\frac{15x-5}{5x+6}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{3x-5}{x+6}[/tex]
To evaluate f(5x) substitute x = 5x into f(x)
f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]
A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. Show your original equation and the process used to find the shortest and longest bolt length.
Answer:
The equations are:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
Step-by-step explanation:
The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
Help please with questions 1-2
15 points
Answer:
1) C)[tex]\sqrt{149}[/tex]
2) A) Yes
Step-by-step explanation:
Solve for X (BRAINLIEST)
Answer:
x = 24
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
x 6
------ = -----------
x+8 8
Using cross products
8x = 6*(x+8)
8x = 6x+48
Subtract 6x from each side
8x-6x = 48
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
Answer:
x = 24
Step-by-step explanation:
Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.
From there, we can set up a ratio:
(x+8)/x = 8/6
Multiply both sides by x:
x+8 = 8x/6
Multiply both sides by 6:
6x+48 = 8x
Move the 6x to the right:
48 = 2x
Divide both sides by 2:
x = 24
Which formula could be used to find the volume of a cube with side length equal to s?
s cubed
(6) (s squared)
s squared
(6) (s cubed)
Answer:
s cubed
Step-by-step explanation:
Formula for volume of a cube is side ^3
The volume of cube with side length s is s cubed.
What is cube?
A cube is a region of space formed by six identical square faces joined along their edges.
What is the formula for the volume of cube?The volume of cube is defined as the total number of cubic units occupied by a cube.
The Formula for the volume of cube is given by
[tex]v = a^{3}[/tex]
Where, v is the volume of cube
and, a is the side of cube.
According to the given question we have
The side length of cube is s.
Therefore, the formula for finding the volume of cube is given by
volume of cube = [tex]s^{3}[/tex]
Hence, the volume of cube with side length s is s cubed.
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h = -162 +64t +960.
What is the maximum height?
Answer:
2 seconds to reach maximum height
Step-by-step explanation:
Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below). Which display makes it easier to see that the third quartile is 14 degrees C
Answer:
A box plot would make it easier to see that the third quartile is 14 degrees C.
Step-by-step explanation:
On a box plot, the right end of the box gives the exact value of the third quartile. On a dot plot, you would have to identify the value based on the number of dots shown.
Answer:
Box plot and dot plot
Step-by-step explanation:
Because I checked.
Follow me
get me to brainliest
Peace out
If 40 people buy lemonade while at the
food stand, what percent of the people
bought lemonade? Illustrate on the
number line.
Answer: transforms
Step-by-step explanation:
Is (0,0) a solution to this system?
Answer:
D.
Step-by-step explanation:
If you substitute (0,0) then the inequality is not true in both cases. This accounts for answer D.
Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there and how many poets are there?
Answer:
[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]
Step-by-step explanation:
hello,
let's note a the number of novelists and
b the number of poets.
we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"
it comes 3a=5b which is the first equation
and we know that a + b = 24 "there are 24 people"
we we have two equations
(1) 3a - 5b = 0
(2) a + b = 24
let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72
let's do 3*(2) - (1) it comes
3a + 3b -3a + 5b = 72 - 0 = 72
so 8b = 72
so b = 9
and then we replace b in (2) it comes
a = 24-9 = 15
hope this helps
Paul is looking at a detailed plan showing the layout of the extension with the new equipment, He knows the new oven will be 1.5 meters wide and on the plan it measures 7.5 centimeters.
What scale is used on the plan?
Answer:
Scale = 1/200 = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
Step-by-step explanation:
Scale is the ratio of the original object to the drawn plan.
Scale = plan : original
Scale = plan length ÷ original length
Plan length = 7.5 centimeters
Original length = 1.5 meters = 1,500 centimeters
Substituting the values;
Scale = 7.5/1500 = 1/200
Scale = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
Given: 22 and 24 are vertical angles
Prove: Z2 Z4
Answer:
Where is the picture? Also, Im kinda confused
Step-by-step explanation: