Answer:
the number is 126
Step-by-step explanation:
1) multiply each side by 32: (n-2) / 32 = 4
2) subtract 2 from each side: n-2 = 128
3) n = 126
Answer:
130
Step-by-step explanation:
So basically this number, minus 2, divided by 32 is 4, so lets write the unknown number as x.
So, (x-2)/32 = 4.
First multiply both sides by 32 to get rid of the denominator.
(32)(x-2)/32 = 4(32) x-2 = 128
Now the -2 remains to figure out x, so you add 2 to both sides to get rid of the -2.
So, x-2+2 = 128+2, -2 +2 is 0, and 128 +2 is 130, so you have x = 130.
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
108º
Step-by-step explanation:
subtract outer angle from circle
360º - 252º = 108º
I hope this helps you
find DCG
360-252=108°
angle DBG=1/2(252-108)
angle DBG=72°
Donny has three times as many candy canes as Marc. Marc has thirty more candy canes than Bob. They have 500 candy canes altogether. How many candy canes does Donny have?
Answer:
318
Step-by-step explanation:
Bob=x
Marc=x+30
Donny=3(x+30)
x+x+30+3x+90=500
5x=500-120
5x=380
x=76
Bob has x = 76
Marc has x+30=106
Donny has 3*112=318
318+106+76=500
Match each statement with its corresponding value for the system below:
y = -2(3)x and y = 9x - 2
1. The number of points of intersection.
2. The x-coordinate of the solution.
3. The y-coordinate of the solution.
Answer:
1. 1 point
2. The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution = -16/17
Step-by-step explanation:
Given that the equation is of the form;
y = -2³×x and y = 9·x - 2, we have;
y = -8·x and y = 9·x - 2
1. Given that the two lines are straight lines, the number of points of intersection is one.
2. The x-coordinate of the solution
To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;
-8·x = 9·x - 2
-8·x - 9·x= - 2
-17·x = -2
x = 2/17
The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution
y = 9·x - 2 = 9×2/17 - 2 = -16/17
y = -16/17
The y-coordinate of the solution = -16/17.
In a circle, an arc measuring 130° is what percentage of the circumference of the circle
Answer:
≈ 36.1%
Step-by-step explanation:
In any circle the following ratio is equal
[tex]\frac{arc}{circmference}[/tex] = [tex]\frac{centralangle}{360}[/tex] = [tex]\frac{130}{360}[/tex] , thus
percentage = [tex]\frac{130}{360}[/tex] × 100% ≈ 36.1%
an arc measuring 130° is approximately 36.11% of the circumference of the circle.
To find the percentage of the circumference that an arc measuring 130° represents, we need to calculate the ratio of the arc length to the circumference of the circle and then convert it to a percentage.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Let's assume the radius of the circle is r.
The circumference of the circle is C = 2πr.
To find the length of the arc corresponding to 130°, we need to calculate the fraction of the total angle (360°) that 130° represents:
Fraction of the angle = (130° / 360°) = (13/36).
Since the fraction of the angle is equal to the fraction of the arc length to the circumference, the length of the arc can be calculated as:
Arc length = Fraction of the angle * Circumference = (13/36) * (2πr).
Now, to find the percentage of the circumference that the arc length represents, we divide the arc length by the circumference and multiply by 100:
Percentage = (Arc length / Circumference) * 100
Percentage = [(13/36) * (2πr)] / (2πr) * 100
Percentage = (13/36) * 100
Percentage = 36.11%
Therefore, an arc measuring 130° is approximately 36.11% of the circumference of the circle.
Learn more about arc length here
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help meeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
I believe the correct answer from the choices listed above would be the first option. The graph that shows a function where f(2) = 4 would be the graph that passes through point (2,4) which is shown in the first graph. Hope this answers the question.
Hey There!!
Your best choice is 1.
Because, We have to find a function where f(2)=4. It means the value of function is 4 at x=2.
In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.
In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.
In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.
In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.
Thus, correct option is 1.
Hope This Helps!!
Ncluding a 6% sales tax, a new stereo costs $492.9. Find the cost of the stereo before tax. A) First write an equation you can use to answer this question. Use x x as your variable and express any percents in decimal form in the equation. (1)
Answer:
1.06x = 429.9
Cost of stereo before sales tax = $405.6
Step-by-step explanation:
Given the following :
Full cost of stereo(cost after sales tax) :
(cost before sales tax + sales tax)
Sales tax = 6%
Cost after sales tax = $492.9
Take the cost before sales tax as 'x'
Therefore, cost after sales tax:
x + 6% of x = $492.9
Equation to solve the problem :
x + 0.06x = 429.9
1.06x = 429.9 - - - (1)
We can then solve for x:
1.06x = 429.9
x = 429.9 / 1.06
x = $405.56603
x = $405.6
Given the equation y = 2x + 3 what is the slope?
x
3
2
idk
Answer:
The slope is 2Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 2x + 3
Comparing this equation with the general equation above
Slope / m = 2
Hope this helps you
Offering 20 points and a thanks with 5 stars for your help please
Answer:
$70000
Step-by-step explanation:
For this problem, we need to convert the fractions into common denominators so we can get his total donated portion. From here, we can set up a proportion to fin his total income.
The greatest common denominator of 5 and 7 is 35. So
1/5 = 7/35. && 1/7 = 5/35
Add those together to get 7+5 = 12/35
So he gave away 12/35 of his income.
Now we set up a proportion to find his total.
35 / 12 = x / 24000
And now we solve for x:
x = (24000 * 35) / 12
x = 70000
So Mr. Pollard made $70000.
We can verify this by saying 24000 / 70000 to get the same reduced fraction 12/35.
Cheers.
Answer:
$70000Step-by-step explanation:
[tex]church + medical \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{5} + \frac{1}{7} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{35} [/tex]
He gave away combined $24000 both,
So,
[tex] \frac{12}{35} =24000[/tex]
[tex] \frac{1}{35} = \frac{24000}{12} \\ \: \: \: \: \: \: \: \: = 2000[/tex]
Therefore,
[tex] \frac{35}{35} = 2000 \times 35 \\ \: \: \: \: \: \: \: \: = 70000[/tex]
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount ans80
Answer:
The discount was rs 80.
Step-by-step explanation:
The item started at an original undiscounted price of x.
Then a 5% discount was applied. The price is now 0.95x.
Then a 10% VAT was applied. The price is now 1.1(0.95x).
The price is now rs 1672.
1.1(0.95x) = 1672
Divide both sides by 1.1 and by 0.95.
x = 1600
The original price was rs 1600.
5% of rs 1600 = 0.05 * rs 1600 = rs 80
The discount was rs 80.
10 points to the person who answers this whole thing:)
Answer:
perimeter = 24
Step-by-step explanation:
it´s a regular hexagon = 6 sides
perimeter = 6(4x) = 24x
17. Thirteen percent of a 12,000 acre forest is being logged. How many acres will be logged?
Answer:
1560 acres
Step-by-step explanation:
What we need to do is find 13% of 12000.
We can start by converting 13% to a fraction.
13%=13/100
Multiply.
13/100*12000
(13*12000)/100
156000/100
Divide.
1560
1560 acres are being logged.
The number of acres that will be logged is 1560 acres.
Since thirteen percent of a 12,000 acre forest is being logged, to calculate the number of acres that will be logged, we'll have to multiply 13% by 12000. This will be:
= 13% × 12000
= 0.13 × 12000
= 1560
Therefore, 1560 acres will be logged.
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By SAA conjecture, determine which triangles are congruent.
Answer:
The correct option is;
[B] ΔABF ≅ ΔEDF
Step-by-step explanation:
GIven that ∠FAE is congruent to ∠FEA
Therefore, triangle ΔFAE is an isosceles triangle (Definition of isosceles triangle)
Segment FA is equal to segment FE (Equal segments of isosceles triangle)
Angle ∠EFD is congruent to angle ∠AFB (Vertically opposite angles)
Therefore, triangle ΔABF is congruent to triangle ΔEDF (Angle Angle Side AAS rule of congruency)
The correct option is ΔABF ≅ ΔEDF.
I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/3 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?
Answer:
The load the large truck can carry is 2400 pounds
Step-by-step explanation:
Let the load the large truck can carry = X
Let the load each of the four trucks owned by the neighbor can carry = Y
The given parameters are;
The load the large truck can carry X = 600 + Y......(1)
The number trucks owned by the neighbor = 4
The load the large truck can carry X ≤ 1/3 × 4 × Y
Therefore, X ≤ 4/3 × Y
At maximum capacity, we have;
X = 4/3 × Y
Substituting the value of X into equation (1), we have;
4/3 × Y = 600 + Y
600 = 4/3 × Y - Y = 1/3·Y
Y = 3 × 300 = 1800 pounds
Y = = 1800 pounds
Therefore, the load the neighbors truck can carry = 1800 pounds
X = 600 + Y gives;
X = 600 + 1800 = 2400 pounds
∴ The load the large truck can carry = 2400 pounds
How many equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)}?
Answer:
12
Step-by-step explanation:
There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of
points and since two equilateral triangles can be drawn having
that pair of points as vertices, there are 12 equilateral
triangles that can be drawn having two vertices in the set
{(0,0), (0,1), (1,0), (1,1)}.
The number of the equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.
What is an equilateral triangle?An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of points and since two equilateral triangles can be drawn having that pair of points as vertices, there are 12 equilateral triangles that can be drawn having two vertices in the set {(0,0), (0,1), (1,0), (1,1)}.
Therefore, the number of the equilateral triangles in the plane that have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.
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hi, please help me :)
Answer:
D. Linear
The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).
4) 101
Is it rational or irrational
Answer:
rational
Step-by-step explanation:
according to google the definition of RATIONAL is
(of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion. Examples of rational numbers are 4 3 and 9
AND THE DEFINITION OF IRRATIONAL IS
(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.
so 101 is a whole number and whole numbers are always rational
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
[tex]5\sqrt{2}[/tex]
[tex]\frac{5\sqrt{2} }{2}[/tex]
[tex]5\sqrt{3}[/tex]
[tex]\frac{5\sqrt{3}}{2}[/tex]
Answer:
[tex]$\frac{5\sqrt{2} }{2}$[/tex]
Step-by-step explanation:
[tex]x: \text{opposite side of the angle of 45\º}[/tex]
[tex]5: \text{hypotenuse of the right triangle}[/tex]
[tex]$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5} $[/tex]
[tex]$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2} $[/tex]
[tex]$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2} $[/tex]
You can just remember that 5 is the diagonal of a square of side length x.
[tex]$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2} $[/tex]
Simplify.
Remove all perfect squares from inside the square root.
V63 =
I need the answer ASAP can anyone help?
3*sqrt(7)
3 times the square root of 7
====================================================
Explanation:
I'm assuming the V stands for square root. You can write sqrt(63).
[tex]\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}[/tex]
The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
A stone is thrown downward straightly its speed at speed of 20 second what and it reaches the ground at 40 metre second what will be the height of building
Answer:
[tex]\Huge \boxed{\mathrm{61.22 \ m}}[/tex]
Step-by-step explanation:
A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)
The initial velocity ⇒ 20 m/s
The final velocity ⇒ 40 m/s
We can apply a formula to solve for the height of the building.
[tex](V_f)2 - (V_i)^2 =2gh[/tex]
[tex]V_f = \sf final \ velocity \ (m/s)[/tex]
[tex]V_i = \sf initial \ velocity \ (m /s)[/tex]
[tex]g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )[/tex]
[tex]h = \sf height \ (m)[/tex]
Plugging in the values.
Acceleration due to gravity is 9.8 m/s².
[tex](40)^2 - (20)^2 =2(9.8)h[/tex]
Solve for [tex]h[/tex].
[tex]1600 - 400 =19.6h[/tex]
[tex]1200 =19.6h[/tex]
[tex]\displaystyle h=\frac{1200}{19.6}[/tex]
[tex]h= 61.22449[/tex]
The height of the building is 61.22 meters.
I am doing a online course on rational expressions, specifically complex fractions without variables, does anyone know what happens in the explanation where I marked it in red. I don't know what they did to get 15/14
Answer:
see below
Step-by-step explanation:
9/ 14
----------
3/5
9/14 ÷ 3/5
Copy dot flip
9/14 * 5/3
Rewriting
9/3 * 5/14
3 * 5/14
Multiply 3*5
15/14
Change from an improper fraction to a mixed number
14/14 + 1/14
1 1/14
Answer:
[tex]\boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
9/14 × 5/3
The factors can be canceled if they are factors of both the numerator of the first fraction and the denominator of the second fraction. The factors get cancelled leaving the second fraction to a whole number.
3/14 × 5
(3 × 5)/14
15/14
Please answer the question in the image below ASAP
Answer:
c
Step-by-step explanation:
diameter will be 36, radius 18 and the height is 6
Joey went for 15 auditions. Out of those 15 auditions, he got called back for 30% of them. Approximately how many did he get called back for?
Answer:
2
Step-by-step explanation:
Basically,
You just have to find 30% of 15...
So
The formula is...
BASE x PERCENT= AMOUNT
x times 0.3= 15
0.3/15=0.02
0.02 x 100= 2
So
Joey got called back for approximately 2 auditions.
solve for -5x-13(2+x)=5x-10
Answer:
[tex]x=-\frac{16}{23}[/tex]
I hope this helps!
Calliope solved the equation 4x+3=2x−8 using the steps shown below. She was asked to provide her reasoning by choosing the properties of equality that correctly justify her work. Help Calliope by matching her steps of work in the left column with the appropriate reason in the right column.
Answer:
4x + 3 = 2x -8
subtraction property of equality: 4x - 2x = -8 - 3
2x = -11
division property of equality: x = -11/2
Find the remainder when x^3-ax^2 +6x -a is divided by x-a
Answer:
When x^3 - ax^2 + 6x -a is divided by x-a
Remainder = 5a
Corinna has $80. She wants to buy a $256 plane ticket. She will save up her earnings from working at the museum where she earns $16 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $256?
Answer:
80+16h≥256
Step-by-step explanation:
the 80 represents the $80 that Corinna already has
the 16h represents the amount of money made at the museum, with h being the number of hours worked
the inequality symbol is a greater than or equal sign because Corinna must have at least $256 to get the plane ticket, which means you either have to have the exact amount amount or more than the exact amount needed
Find the value of x in each case:
Answer:
x = 36
Step-by-step explanation:
To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.
i. Determination of y
2x + y = 180 (angle on a straight line)
Rearrange
y = 180 – 2x
ii. Determination of z.
z + 4x = 180 (angle on a straight line)
Rearrange
z = 180 – 4x
iii. Determination of x
x + y + z = 180 (sum of angles in a triangle)
But:
y = 180 – 2x
z = 180 – 4x
Therefore,
x + y + z = 180
x + 180 – 2x + 180 – 4x = 180
Collect like terms
x – 2x – 4x = 180 – 180 –180
– 5x = – 180
Divide both side by – 5
x = – 180 / – 5
x = 36
Therefore, the value of x is 36.
On a plane trip, baggage over 40 pounds is charged at the rate per pound of 1% of the one-way fare. The charge for a bag weighing 52 pounds on a trip where the one-way fare is $98 is:
Answer:
$11.76 is the charge for bag.
Step-by-step explanation:
Given:
One way fare = $98
Weight of bag = 52 pounds
Rate per pound Charges on baggage over 40 pounds = 1% of the one-way fare
To find:
Charge for bag = ?
Solution:
Pounds more than 40 pounds = Weight of baggage - 40 pounds
[tex]\Rightarrow 52-40 = 12\ pounds[/tex]
Charges on extra baggage = 1% of one-way fare multiplied by pounds more than 40.
Here one way fare is $98.
So, charges on extra baggage will be:
[tex]1\%\ of\ 98 \times (52-40) \\\Rightarrow 1\%\ of\ 98\times (12)\\\Rightarrow \dfrac{1}{100}\ of\ (98 \times 12)\\\Rightarrow \dfrac{1}{100}\times (98 \times 12)\\\Rightarrow \bold{\$11.76}[/tex]
So, the charge for the baggage is $11.76.
A culture started with 2000 bacteria. after 2 hours it grew to 2400 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number. P=Ae^kt
Answer: There will be 4977 bacteria present after 10 hours.
Step-by-step explanation:
The exponential function for continuous growth in t years is given by :-
[tex]P=Ae^{kt}[/tex] (i)
, where A = initial population, k= rate of growth.
As per given, A= 2000,
After t= 2 hours, P=2400
Put these values in (i), we get
[tex]2400=2000e^{2k}\\\\\Rightarrow\ 1.2=e^{2k}[/tex]
Taking log on both sides
[tex]\ln 1.2=2k\\\\\Rightarrow\ k=\dfrac{\ln1.2}{2}=\dfrac{0.182321556794}{2}\\\\\Rightarrow\ k\approx0.09116[/tex]
put value of A=2000, k= 0.09116 and t= 10 , we get
[tex]P=2000e^{0.09116\times10}\\\\=2000e^{0.9116}\\\\=2000\times2.4883\\\\=4976.6\approx4977[/tex]
Hence, there will be 4977 bacteria present after 10 hours.
Answer:
Step-by-step explanation:
PLEASE HELP I HAVE LIKE 10 MINUTES A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3 A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds against the Cougars winning the toss in exactly one of three games? A. 3:5 B. 5:3 C. 3:8 D. 8:3 A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1
Answer:
a
Step-by-step explanation:
