The inequality that represents the sentence "two more than a number is less than 14" is [tex]n+2 < 14[/tex].
Let the number be n
2 more than number = n+2
What is inequality?
Inequality is the relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
It is given that,
Two more than a number is less than 14
This means, [tex]n+2 < 14[/tex]
Therefore, the inequality that represents the sentence "two more than a number is less than 14" is [tex]n+2 < 14[/tex].
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Answer: 2 + n less-than 14
Or 2 + n < 14
Step-by-step explanation:
Let n = number
Two more than a number is less than 14
n + 2 < 14
Or 2 + n < 14 which is the same as
2 + n less-than 14 or B
$4000 is divided between three children in the ratio 2:3:5.
How much does each child receive?
Okay so here is how it works:
Because 2:3:5 is the ratio 10 is the total because 2+3+5 is 10 right?
You therefore equate 10 to 4000
10=4000
so if 10 is equal to 4000 what about 2,3 or 5?
2/10×4000=800
3/10×4000=1200
5/10×4000=2000
Hope this anwered your question
A car travels 480 miles in 12 hours. What is the rate in miles per hour? In hours per mile
Answer:
40 miles per hour and .025 hours per mile
Step-by-step explanation:
480/12=40
12/480 = .025
The New Horizons is an interplanetary space probe that approached the dwart planet Pluto in 2015. How many arc degrees of Pluto are visible to the New Horizons space probe while approaching the dwarf planet?
The value of angle x which is substended in the circle will be D. 342.6°.
How to calculate the circle?From the information given, it has been depicted that the value of the angle that's facing x is 17.4°.
Therefore, the value of x which is inscribed in the circle will be:
= 360° - 17.4°
= 342.6°
In conclusion, the correct option is 342.6°.
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Help me please!!!!!!!!!!!!!!!
Answer:
[tex] \frac{5}{6} \: - \frac{5}{6} [/tex]
Step-by-step explanation:
[tex] \sqrt{ \frac{25}{36} } = \frac{ \sqrt{25} }{ \sqrt{36} } = \frac{5}{6} [/tex]
Can anyone please help me with this ASAP
combine like terms 4(p+3)-8 i need the answer quick
Answer:
4p + 4
Step-by-step explanation:
Original expression:
4(p + 3) - 8
Apply the distributive law: a(b + c) = ab + ac
⇒ 4p + 12 - 8
Subtract 8 from 12:
⇒ 4p + 4
what is the answer to 35r−21<−35r+19
Answer:
r < 4/7
Step-by-step explanation:
35r−21<−35r+19
35r + 35r < 19 + 21
70r < 40
r < 40/70 or r < 4/7
A trapezoid has an area of 234.06 square feet. One base is 19.2 feet long. The other base is
9 feet long. What is the height?
Answer: Height = 16.6 ft
Step-by-step explanation:
The area of a trapezoid is (b1+b2)*h/2, where b1 and b2 are the bases and h is the height.
We can plug in the values given:
234.06 ft^2 = (19.2 ft + 9 ft)*h/2
We can multiply both sides by 2 and combine like terms:
468.12 ft^2 = 28.2 ft*h
Divide both sides by 28.2 ft:
Height = 16.6 ft
I NEED HELP! I WILL GIVE BRAINLIEST
Answer:
As time increases, grams decrease
To describe the relationship between the two quantities, we first have to identify what those two quantities are.
Well, it says it right on the graph.
Our two quantities are time (the x value) and grams (the y value)
So, what is the relationship between the two quantities?
Well, let's first look at what each one is doing.
Well, time is increasing
Grams, however, are decreasing
So, the relationship is as follows:
As time increases, grams decrease
what is (−8.7)⋅(−10)?
HELPPP FOR BRIANLEST!!!!
Answer:
12/17
Step-by-step explanation:
total that are NOT Toe Knows shoe (7) plus total that are NOT pleased (10) and subtract total that are not toe knows and not pleased (5)
7 + 10 - 5 = 12
over total (17)
12/17 doesn't simplify
A radio station is giving away a total of Rs 124,000 in August on promotion. If they increase the amount given away each day by Rs 100.
(i) How much should they give away the first day?
(ii) How much have they give away on the 15th day ?
On the first day the company is giving Rs124, 000.
On the fifteenth day the company will give Rs 125400
The amount they wanted to give in august for promotion is Rs 124,000. They increased the amount each day by Rs 100.
Therefore, the sequence will be as follows;
124,000, 124,100, 124,200 .......
i.
The amount they will give on the first day is Rs124, 000
Arithmetic progression formulaaₙ = a + (n - 1)dii
The sequence is increasing by 100. Therefore,
common difference = 100
first term = 124, 000
Therefore,
a₁₅ = 124000 + (15 - 1)100
a₁₅ = 124000 + 1400
a₁₅ = 125400
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If a line goes through points (-2, 9) and (0, 3), what is its slope?
a. -1/3
b. -3
c. 3
d. 6
Answer:
b. -3
Step-by-step explanation:
slope = y2 - y1 / x2 - x1
= 3 - 9 / 0 + 2
= -6 / 2
= -3
Answer:
b
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (0, 3 )
m = [tex]\frac{3-9}{0-(-2)}[/tex] = [tex]\frac{-6}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
the perimeter of rectangular lawn is 300 m. if the length and breadth are in ratio of 8:7, find the area of the lawn
Answer:
5600 m²
Step-by-step explanation:
The perimeter of a rectangle is 2x + 2y = 300
If we have a ratio of length to breadth, we can just assign variables to simplify the problem. It doesn't matter if x is breadth or length and the same goes for y. But in this case, I just choose x as length and y as breadth.
x = 8n
y = 7n
2(8n) + 2(7n) = 300
30n = 300
n = 10
so, plugging n into x and y
x = 8(10) = 80
y = 7(10) = 70
Area of a rectangle
A = xy
A = (80)(70) = 5600 m²
Help………dndjrjrjrjrjrrhrhd
(87 POINTS I NEED ANSWER TODAY!!!) A right trapezoidal prism is sliced parallel to its base.
What is the shape of the resulting two-dimensional cross section?
trapezoid
parallelogram
rectangle
square
Answer:
trapezoid
Step-by-step explanation:
A right trapezoid has 2 parallel sides and 2 adjacent right angles.
In geometry, the base of a prism is the actual shape.
So the base of a triangular prism is the triangle, similarly the base of a pentagonal prism is the pentagon, etc.
Therefore, the base of a trapezoidal prism is the trapezoid itself.
If the prism is cut parallel to the base, then the cross section will be the same shape as the base. So in this case, it will be a trapezoid.
Answer:
sQUARW
Step-by-step explanation:
Cesser had $60. He spent $36.90 on a pair of shoes and the rest on a shirt. A) what percent of his money did he spend on his shoes? B) what percent of his money did he spend on the shirt?
36.9 / 60 = 61.5% on shoes and 38.5% on the shirt
please hellllllp i need to get these done
Answer:
56
Step-by-step explanation:
180 = Triangle total angle amount
180 - 68 = 112
112/2= 56
Have an amazing day!!
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Find Volume of cone
half of 4 is 2
22 * 2 44
Who was alan turing and what were his contributions to the field of mathematics?.
Answer:
Alan Mathison Turing OBE FRS was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist.
Born: June 23, 1912, Maida Vale, London, United Kingdom
Died: June 7, 1954, Wilmslow, United Kingdom
Turing's main contribution to mathematics, however, was his work on computation theory. Presaging the invention of the modern computer, Turing designed an abstract computing device known as the Turing machine — an entirely virtual construct which could perform calculations and follow instructions.
Hurry please!
y = 3x +2
y = 3x - 3
These lines are..
A.Perpendicular
B.Neither
C.The same line
D.Parallel
Answer:
Neither
Step-by-step explanation:
To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.
For two lines y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate k1 and k2.
To calculate the slope k of any line, you have to change the equation to y=kx+b
For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))
For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)
Now you can get the answer: The two lines neither parallel nor perpendicular
Answer:
D. Parallel
Step-by-step explanation:
When Graphed, These two equations bring up lines that are parallel to each other
Find the product.
a 413 a 22a + 1)
3 a
-2 a
+1a
Answer:
[tex]=13a^{437}+12a[/tex]
Step-by-step explanation:
[tex]\left(a^{413}a^{22}a+1\right)\cdot \:13a-2a+1\cdot \:a[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2a+1\cdot \:a=-a[/tex]
[tex]=\left(a^{413}a^{22}a+1\right)\cdot \:13a-a[/tex]
[tex]=\left(a^{436}+1\right)\cdot \:13a-a[/tex]
[tex]=13a\left(a^{436}+1\right)-a[/tex]
[tex]=13a^{437}+13a-a[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:13a-a=12a[/tex]
[tex]=13a^{437}+12a[/tex]
The epicenter of an earthquake is the point on Earth’s surface directly above the earthquake’s origin. A seismograph can be used to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake’s epicenter. Find the location of the earthquake’s epicenter if it is 3 miles away from (2,1) , 4 miles away from (5,-3) , and 5 miles away from (10,1)
Based on the calculations, the location of the earthquake’s epicenter is at (-1, 1).
What is an epicenter?An epicenter can be defined as the point on the surface of planet Earth, which is perpendicular to the hypocenter (focus) and directly above the earthquake’s origin. Also, it indicates where the seismic waves from an earthquake are most intense.
For this exercise, we would set the epicenter at x and y. Using the equation of a circle, we have the following:
At A (2, 1) and 3 miles away;
[tex](y-1)^2+(x-2)^2=3^2[/tex] ......equation 1.
At B (-5, 3) and 4 miles away;
[tex](y-3)^2+(x-(-5))^2=4^2\\\\(y-3)^2+(x+5)^2=4^2[/tex] ......equation 2.
At C (10, 1) and 5 miles away;
[tex](y-1)^2+(x-10)^2=5^2[/tex] ......equation 3.
Subtracting eqn. 2 from eqn. 1, we have:
[tex](x-2)^2-[(x+5)^2]=3^2-4^2\\\\x^2-2x-2x+4-[(x^2+5x+5x+25)]=9-16\\\\x^2-4x+4-x^2-10x-25=-7\\\\-14x-21=-7\\\\-14x=-7+21\\\\-14x=14\\\\x=\frac{-14}{14}[/tex]
x = -1 when y = 1.
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Answer: i used desmos to graph the circles and from the graph, you can tell that the point of intersection (epicenter) is (5, 1)
Step-by-step explanation:
Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?.
Answer:
1/3
Step-by-step explanation:
3/9 = 1/3
the area of a square and square feet is represented by 4z^2 - 36z + 81. Find an expression for the perimeter of the square. Then find the perimeter when z=10 ft
02.
39
za
Diagram NOT
accurately drawn
63
D
E
G
ABC is parallel to DEFG
BCBF
Angle ABE = 39"
Angle CFG = 63
Work out the size of angle x
Give a reason for each stage in your working.
HELP
The measure of angle x from the diagram is 102 degrees
Lines and anglesFrom the given diagram, we can see that the measure of angle "x" lies on the same line with 39 degrees. Since the sum of angles on a straight line is 180 degrees, hence;
39 + x + 39 = 180
78 + x = 180
Subtract 78 from both sides
78 + x - 78 = 180 - 78
x = 180 - 78
x = 102 degrees
Hence the measure of angle x from the diagram is 102 degrees
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Answer number 8 and 10 please
Answer:
Q8 It is because the data collected are too scattered and cannot show an obvious trend.
if it's correct pls mark brainliest tks
Lynn was shopping and found a purse that was marked with a discount of [tex]\frac{1}{3}[/tex]off.” If the original cost of the purse was $80 , how much will Lynn pay?
Answer:
[tex] \frac{160}{3} [/tex]
Step-by-step explanation:
Step 1: A discount of
[tex] \frac{1}{3} [/tex]
means that the current price is two thirds of the original cost.
Step 2: The total cost is
[tex]80 \times \frac{2}{3} = \frac{160}{3} [/tex]
and the answer follows.
Solution:
Note that:
80 x (3/3 - 1/3) = Discounted costSimplify the expression.
80 x (3/3 - 1/3)=> 80 x (2/3)=> 160/3 = $53.33 = Discounted costLynn will pay $53.33.
The store buys a vase for $25. The vase sells for $55. What is the markup on the vase?
Answer:
The answer is $30
Step-by-step explanation:
Markup refers to the amount added to the cost price of goods to cover overhead and profit.
The vase was bought for $25, then is now selling for $55
$55-$25=$30
hope this helps please mark brainliest :)
Find the measure of each angle
m∠A =
m∠B =
m∠BCA =
Before we solve for each angle, let's find the bottom left angle of the triangle.
We know that:
Straight line = 106 + xStraight line = 180This means that:
⇒ 106 + x = 180Step-by step calculations:
⇒ 106 + x = 180
⇒ 106 - 106 + x = 180 - 106
⇒ x = ∠BCA = 74°
Solving for y:We know that:
⇒ Sum of the interior angles of the triangle: 180°
This means that:
⇒ (74) + (3y + 22) + (4y) = 180
Step-by step calculations:
⇒ (74) + (3y + 22) + (4y) = 180
⇒ 96 + 7y = 180
⇒ 96 - 96 + 7y = 180 - 96
⇒ 7y = 84
⇒ 7y/7 = 84/7
⇒ y = 12
Finding the measure of each angle:Step-by step calculations:
⇒ ∠B = 3y + 22
⇒ ∠B = 3(12) + 22
⇒ ∠B = 36 + 22
⇒ ∠B = 58°
-------------------------------------
⇒ ∠A = 4y
⇒ ∠A = 4(12)
⇒ ∠A = 48°