Answer:
[tex]n = \frac{S}{180} + 2[/tex]Step-by-step explanation:
S = 180 × ( n - 2)
To solve for n divide both sides by 180°
That's
[tex]n - 2 = \frac{S}{180} [/tex]Add 2 to both sides in order to isolate n
That's
[tex]n + 2 - 2 = \frac{S}{180} + 2[/tex]We have the final answer as
[tex]n = \frac{S}{180} + 2[/tex]Hope this helps you
Write an equation in point-slope form for the line with the given information 1.slope=1/5;(2,6) 2.slope=0;(3,-7) 3.(-2,2)&(2,-2) are on the line. 4.(1,1)&(-5,3) are on the line
Answer:31
Step-by-step explanation:
Rewrite the function by completing the square. f(x)=x^{2}+2x+26
Answer:
x = 4 + √3 and x = 4 − √3
Step-by-step explanation:
(a−b)^2=a^2−2ab+b2
a^2−b^2=(a−b)(a+b)
−2x^2+16x−26
=−2(1x^2−8x+13)
=−2(x^2−8x+13+3−3)
=−2(x^2−8x+16−3)
=−2(x^2−2(4)x+4^2−3)
=−2((x−4)^2−3)
=−2((x−4)^2−(√3)^2)
=−2((x−4)−√3)((x−4)+√3)
=−2((x−(4+√3)((x−(4−√3))
The zeros of the given algebraic expression are:
−2x^2+16x−26=0
−2((x−(4+√3)((x−(4−√3))=0
x = 4 + √3 and x = 4 − √3
I strongly suggest using the quadratic formula as this problem is much easier to solve using it.
x = (−b ± [tex]\sqrt{b^{2}-4ac }[/tex] ) / 2
110 +0.70x = 50+ 0.90x
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 300}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{110 + 0.70x = 50 + 0.90x}[/tex]
Move 0.90x to left hand side and change it's sign
⇒[tex] \sf{0.70x - 0.90x + 110 = 50}[/tex]
Move 110 to right hand side and change it's sign
⇒[tex] \sf{0.70x - 0.90x = 50 - 110}[/tex]
Collect like terms
⇒[tex] \sf{ - 0.2x = 50 - 110}[/tex]
Calculate
⇒[tex] \sf{ - 0.2x = - 60}[/tex]
Divide both sides of the equation by -0.2
⇒[tex] \sf{ \frac{ - 0.2x}{ - 0.2} = \frac{ - 60}{ - 0.2} }[/tex]
Calculate
⇒[tex] \sf{x = 300}[/tex]
Hope I helped!
Best regards!!
is 0.35 a rational or irrational number
Answer:
I think its rational
Step-by-step explanation:
Answer: 0.35 is rational! :D Hopefully this will help others as well!
Step-by-step explanation:
Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0 feet ) but drops about 1.72 degrees * F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190 degrees F.
Answer:
The elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet
Step-by-step explanation:
Let every 1,000 feet of elevation be [tex]x[/tex]. Hence, we can write
[tex]T = 212[/tex] [tex]- 1.72x[/tex]
Where [tex]T[/tex] is the boiling temperature of water at different elevations
Now, to the determine the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex].
We will determine [tex]x[/tex] by putting [tex]T = 190[/tex] °[tex]F[/tex].
Hence,
[tex]T = 212[/tex] [tex]- 1.72x[/tex]
[tex]190[/tex] [tex]= 212[/tex] [tex]- 1.72x[/tex]
[tex]190 - 212[/tex] [tex]= - 1.72x[/tex]
[tex]- 22[/tex] [tex]= - 1.72x[/tex]
[tex]22 = 1.72x\\x = \frac{22}{1.72} \\x = 12.79070[/tex]
Since [tex]x[/tex] represents every 1,000 feet of elevation, then the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex]
[tex]12.79070[/tex] × [tex]1000\\[/tex] [tex]= 12790.70[/tex] feet
Hence, the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet
c) 28 - 11
-7
[tex] \frac{28}{ - 7} - 11[/tex]
Answer:
Step-by-step explanation:
-4 - 11 = -15
If they work together, Mark and Yvonne can sort 50 library books in 1.5 hours. Working alone, it would take
Yvonne 5 hours to do the same job. How long would it take Mark if he worked alone? Express your answer in
hours and minutes.
veres
e out of
Answer:
B
Step-by-step explanation:
In a theater, there are 20 chairs in the first row, each row has 4 more chairs than the previous row, and there are 15 rows. How many chairs are there in the theater?
Answer:
There are a total of 720 chairs in the theater
Step-by-step explanation:
First row = 20 chairs
Second row = 24 chairs
Third row = 28 chairs
The given is an arithmetic progression (A.P)
First term
a = 20
Common difference
d = 4
Number of terms
n=15
Sum of the chairs in the theater with a total of 15 rows
Sum of an A.P = n/2 { 2a + (n-1) d}
= 15/2{ 2*20 + (15-1) 4}
= 7.5 { 40 + (14) 4 }
= 7.5 { 40 + 56}
= 7.5(96)
=720 chairs
2 feet to 40 inches (ratios)
[tex]\boxed{3:5}[/tex]
We need to first change the measurement of 2 feet to inches, and then find the most simplified version of the resulting ratio.
2 feet = 24 inches (1 foot = 12 inches)
Ratio: 24:40
Simplify ratio:
24/8 = 3
40/8 = 5
Ratio: 3:5
Therefore, the simplified ratio is 3:5 inches.
What is the image of the point (8, -3) after a rotation of 90° counterclockwise about
the origin?
Answer:
[tex]\huge\boxed{(3, 8)}[/tex]
Step-by-step explanation:
When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.
When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).
y is -3, and -(-3) is just 3, since two negatives make a positive.
x just remains x, but it's in a different position.
This makes the new coordinate [tex](3, 8)[/tex].
Hope this helped!
A digital camera is marked 33% off the
original price. If the discount is $52.80,
what was the original price?
A) $107.20
B) $160.00
C)$170.00
D) $175.00
Answer:
A. $107.20
Step-by-step explanation:
dont know sorry
¿Un camión de carga lleva 32 costales de maíz de 20.5 Kg. Cada uno y 19 con un peso de 48.75 Kg. Cada uno. ¿Cuántos kilogramos de maíz lleva el camión?
Answer:
1,582.25 kilogramos
Step-by-step explanation:
Para determinar los kilogramos de maíz que lleva el camión, se debe multiplicar el peso de los dos tipos de bultos que lleva por la cantidad de cada uno y sumar estos valores para obtener la respuesta:
(20.5*32)+(48.75*19)=656+926.25=1,582.25
De acuerdo a esto, el camión lleva 1,582.25 kilogramos de maíz.
For number 1 the second part I really don’t understand
Answer:
hundred thousands
Step-by-step explanation:
You would move it to the left one place, so it would be the hundred thousands place.
Answer: The answer is hundred thousands place.
Step-by-step explanation: The question is wanting you to name the space the 8 is in. So 10's, 100's, 1000's and so on. But in this case an 8 in the hundred thousand's place has 10 times more value then an 8 in the ten thousand's place.
Help plz the Question is on the attached file
Answer:
9 eazy
Step-by-step explanation:
Answer:
B.9
Step-by-step explanation:
3^4=81
3^2=9
81/9=9
3 divided by 10 in decimal form plz thnks
Answer:
Step-by-step explanation:
3/10 = 0.3 in decimal form
Answer: I agree with the person above it's 0.3 I did the math twice and got the same answer
Step-by-step explanation:
Solve for x: −6 < x − 1 < 9
a. 5 < x < 10
b. −5 < x < 10
c. −5 > x > 10
d. 5 > x > −10
Answer:
-5 < x < 10
Step-by-step explanation:
−6 < x − 1 < 9 just get rid of -1 by adding 1 to all three terms
-6 + 1 < x -1 + 1 < 9 + 1
-5 < x < 10
Answer:
| − 2 | − 7 2 x− 9 ⋅ 5 x − 4 − 6 ( y − 3 )
Step-by-step explanation:
The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of the front of the box in units? Round your answer to the nearest tenth.
Answer:
13.2
Step-by-step explanation:
√175 ≈ 13.2 . . . units
The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.
If y = 8x − 2, which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?
{(0, −2), (1, 6), (2, 14)}
{(0, −2), (2, 13), (−5, −40)}
{(1, 7), (2, 7), (3, 7)}
{(1, 6), (2, 13), (3, 24)}
Answer:
the first set
Step-by-step explanation:
y = 8x − 2
to see which of the following represent the right input and out put substitute the amount of x in the equation and see it you get the same output .
x y=8x-2 y
0 8(0)-2 -2
1 8(1)-2 6
2 8(2)-2 14
PLEASE HELP, WILL GIVE MAX POINTS IF CORRECT. Look at the diagram of the tennis court below. The diagram contains examples of line segments, angles, planes, and vertices. Write the geometric term that best describes each part of the tennis court.
a. Playing Surface
b. Corner of Serving Box
c. Baseline
d. Net
e. Intersection of Baseline and Side Line
The geometric terms that best describes each part of the tennis court are Playing Surface ⇒ Plane and Corner of Serving Box ⇒ Vertex
How to determine the geometric terms?There are several geometric terms; some of them are:
Vertex: This represents a cornerLine (or line segment): used to illustrate distance between endpointsPlane:- This represents a surfacePoint: Used to represent intersections at a pointUsing the above definitions, the geometric terms that best describes each part of the tennis court are
Playing Surface ⇒ PlaneCorner of Serving Box ⇒ VertexBaseline ⇒ LineNet ⇒ PlaneIntersection of Baseline and Side Line ⇒ LineRead more about geometry terms at:
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Answer:
c
Step-by-step explanation:
It is a customer appreciation week at the vans shoe outlet, Which means all customers are given a 20% discount on all items. A customer comes in with an birthday coupon for an additional 10% off any shoe item, once the first discount has been applied. The customer buys 3 pairs of shoes for $120.00 each. After the two discounts how much does the customer pay?
Answer:
$278.40
Step-by-step explanation:
Note: "...an additional 10% off any shoe item, once the first discount has been applied." (emphasis added).
Note that the customer is buying 3 pairs of shoes for $120 each: 120 x 3 = $360
The first discount is the 20% discount (on every single item), the second discount is the 10% discount coupon of of any item (which signifies one item only).
Solve for the first discount:
$360 x 0.20 = $72
$360 - 72 = $288.
Next, divide $288 by 3 (to get the individual prices of the shoes:
$288/3 = $96.
The customer then uses a birthday coupon for one of the shoes, which gives an additional 10% off.
$96 x 0.10 = 9.6
$96 - 9.6 = $86.4
Remember, the other two shoes still cost $96 each. Add the price together:
$96 + $96 + $86.4 = $278.40
$278.40 will be the total.
~
Answer:
278.40
Step-by-step explanation:
Write 10 × 10 × 10 with an exponent. Explain how you decided which exponent to write.
10 x 10x 10 = Sinceit is used as a multiplied factor times, the exponent is
Find two consecutive integers(with the least sum) whose sum is at least 107
Answer:
53 and 54
Step-by-step explanation:
x + (x+1) = 107
2x+1 = 107
2x = 107
x = 53
x+1 = 54
Need help (no beginners)
Answer:
None of the above
Step-by-step explanation:
-5/2 is not equal to 5/2
5/2 - 39/8 = -19/8
if you calculate the two options you will see that none of them is equal to -19/8
solve the simultaneous equation 3x-2y=7 7x+2y=13
Answer: x= 2, y= -1/2
Step-by-step explanation:
The value of x is 2 and y is -1/2
equations are 3x-2y=7 --1
7x+2y=13 --2
lets consider 3x-2y=7 as equation 1,
consider 7x+2y=13 as equation 2
by putting both the equations :-
3x-2y=7
7x+2y=13
we get 10x=20
x=20/10
x=2
Now by putting the value of x in equation 1;
3(2)-2y=7
6-2y=7
-2y=1
y=-1/2
What is a simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. They are called simultaneous equations because the equations are solved at the same time. Each of these equations on its own could have infinite possible solutions.
What is meant by algebraic equation?algebraic equation, a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
Learn more about simultaneous equation: https://brainly.com/question/19752823
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*DIFFICULT QUESTION PLEASE PLEASE ANSWER* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. What is the probability of a customer choosing either a strawberry milkshake or cone? a.) 60% b.) 40% c.) 12% d.) 20%
Answer:
c.) 20%
Step-by-step explanation:
•1/3 chnace of picking Strawberry flavor
•2/3 chance of picking a milkshake or cone serving
(1/3)*(2/3)=2/9=0.222...(approx.)=0.20=20%
Edit for more clarification:
If you have a situation where multiple outcomes are favorable ("or" statements) then you add the odds together. The customer here wouldn't have minded a milkshake or a cone, so we add their odds together to get 2/3.
If you have a situation where a specific combination of outcomes is favorable ("and" statements) then we multiply the odds. The customer would be getting a flavor and a type of serving, so we multiply the odds of each combination together.
(Note that this is technically a simplified version of the general formulas/equations for probabilities so if you go look them up on the internet they might include some other ideas.)
Answer:C
Step-by-step explanation:
quiz says it was right
solve the equation
2x + 4x -7=5
×=
Answer:
soln,
6x=12
so,x=2.........
-6(1 + 2v) – 7(v + 1) = -13
Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
Solve the inequality d – 6 < –0.5 and graph the solutions.
Answer:
Hope it will help you :)
Step-by-step explanation:
d-6<-0.5
Adding 6in both sides to find out the value of d
d-6+6<-0.5+6
d<5.5
Solution set={d/d<5.5}
Solve for all values of x in simplest form 1+3|x-5|=10
Answer:
x = 8 x = 2
Step-by-step explanation:
1+3|x-5|=10
Subtract 1 from each side
1-1+3|x-5|=10-1
3|x-5|=9
Divide by 3
3/3|x-5|=9/3
|x-5|=3
There is a positive and negative solutions
x-5 =3 x-5 = -3
Add 5 to each side
x-5+5 = 3+5 x-5+5 = -3+5
x = 8 x = 2
Answer:
[tex]x=2,8[/tex]
Step-by-step explanation:
So we have the equation:
[tex]1+3|x-5|=10[/tex]
First, subtract 1 from both sides:
[tex]3|x-5|=9[/tex]
Now, divide 3 from both sides:
[tex]|x-5|=3[/tex]
Definition of absolute value:
[tex]x-5=3\text{ or }x-5=-3[/tex]
For the left, add 5 to both sides.
For the right, add 5 to both sides:
[tex]x=3+5\text{ or } x=-3+5\\x=8\text{ or }x=2[/tex]
Thus, the answers are:
[tex]x=2,8[/tex]