Answer:
It is wrong
Step-by-step explanation:
y < 18
This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.
y > 18
This is read as y is greater than 18.
There is a difference between the numbers greater or less than 18 .
y must have numbers less than 18 and 21 is greater than 18.
Therefore it is wrong.
But to make it true we can multiply minus with the inequality y > 18
-y > -18
This reverses the inequality sign and it becomes
y< 18
The solution which is required.
Connor's family took a road trip to Niagara Falls. Connor slept through the last 15% of the trip. If Connor fell asleep after they had travel 663 miles what was the total length of the trip.
Answer:
The length of the trip is 780 miles
Step-by-step explanation:
Given
[tex]Sleep = 15\%[/tex]
[tex]Distance\ Travelled = 663[/tex]
Required
Determine the length of the trip
If Connor slept for 15% of the trip, then Connor was awake for 85%
This is calculated as:
[tex]Sleep + Awake = 100\%[/tex]
[tex]15\% + Awake = 100\%[/tex]
[tex]Awake = 100\% - 15\%[/tex]
[tex]Awake = 85\%[/tex]
Represent the required distance with D.
So the expression for when she was awake is:
[tex]85\% * D = 663[/tex]
Make D the subject
[tex]D = \frac{663}{85\%}[/tex]
Convert % to decimal
[tex]D = \frac{663}{0.85}[/tex]
[tex]D = 780[/tex]
Hence, the length of the trip is 780 miles
What Percent of 18 is 24?
Answer:
133.3333..% of 133 1/3 %
Step-by-step explanation:
100% of 18 is 18.
24-18 = 6.
6 is 33.33333...% of 18.
Therefore 24 is 133.3333..% of 18
or
24/18 = 4/3 = 1.333... = 133.33333...%
The percent 133.3% of 18 is 24.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
let x Percent of 18 is 24.
So, x% of 18 = 24
x/100 (18)= 24
18x = 2400
x= 2400/18
x= 133.33%
Hence, 133.33% of 24 is 18.
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Is Noah's work correct? Explain. Yes, Noah's calculations are correct. No, Noah did not simplify correctly. No, Noah used the diameter instead of the radius in the calculations. No, Noah did not use the correct formula for volume of a sphere.
Answer:
No, Noah used the diameter instead of the radius in the calculations.
V = 91.13π
Step-by-step explanation:
Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.
V = πr3
V = π(9)3
V = π(729)
V = 972π cubic units
Is Noah’s work correct
Volume of a sphere, V = πr³
radius, r = diameter / 2
Diameter = 9 units
r = 9 / 2
= 4.5 units
Volume of a sphere, V = πr³
= π × 4.5³
= π × 91.125
= 91.125π
Approximately 91.13π
V = 91.13π
No, Noah used the diameter instead of the radius in the calculations.
Answer:
no, he used radius instead of diameter
Step-by-step explanation:
A preschool Field trip required seven buses. 13 children rode in cars with their parents and the rest road on a bus. If there were 258 children on the trip to all together, how many were on each bus
If you earn about $1,623 per week, what would be your yearly salary?
Answer:
$592,395
Step-by-step explanation:
Because $1,623 x 365= $592,395 in a year
A model village is built to scale.
It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?
Answer:
The length of the road in the model is 60 m.
Step-by-step explanation:
Given: scale = 1:19
real-life length of the road = 1.14 km
= 1140 m
Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.
Scale = [tex]\frac{length on drawing}{actual length}[/tex]
The actual length is the real-life length given as 1140 m.
So that,
[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]
19d = 1140
⇒ d = [tex]\frac{1140}{19}[/tex]
= 60
Therefore, the length of the road in the model is 60 m.
Simplify
4x + 2y + x2 - x + 3 - x2 - 5
A. 3x2 + 5y - 8
B. 2x2 - 3x + 2y - 2
C. -5x + 2y - 2
D. 4x2 - 2y + 5x + 8 help help help pls help
Answer:
b
Step-by-step explanation:
u just have to think about it
1) What are the solutions of (x/3) > -1?
is this asking if I need multiple solutions?
Yes...
x/3 > -1
what values of x make x/3 > -1
hint... your answer will look like like x > (number)
Which product will result in a sum or difference of cubes?
O (x + 7)(x2 – 7x + 14)
O (X + 8)(x2 + 8x + 64)
O (x – 9)(x? mox +81)
O (X – 10)(x2 – 10x + 100)
Answer:
(x – 9)(x² + 9x+81)
Step-by-step explanation:
The sum of cubes of a and b is given by:
a³ + b³ = (a + b)(a² - ab + b²)
While the difference of cubes is given as:
a³ - b³ = (a - b)(a² + ab + b²)
1) (x + 7)(x² – 7x + 14) = x³ -7x² + 14x + 7x² - 49x + 98
= x³ -35x + 98
2) (X + 8)(x² + 8x + 64) = x³ + 8x² + 64x + 8x² + 64x + 512
= x³ + 16x² + 128x + 8³
3) (x – 9)(x² + 9x+81) = x³ + 9x² + 81x - 9x² - 81x - 729
= x³ - 9³
4) (X – 10)(x² – 10x + 100) = x³ - 10x² + 100x - 10x² + 100x - 1000
= x³ - 20x² + 200x - 10³
What is the area of the shaded region in the figure below? Use 3.14 for pie
Answer:
200.96 = area of Shaded portions.
Step-by-step explanation:
Area of the 2 stars.
I don't know if you can see this or not, but the 4 quarter circles surrounding the star is found by subtracting a full small square surrounding the star
Area of 1 star = 4 * (1/4) pi * r^2
Area of 1 star = 3.14 * 4^2
Area of 1 star = 50.24
Area of both stars = 100.48
Area of the 4 semicircles at each end
The 2 semicircles at one end figure = 1 circle
The two circles gives the total area of the 4 semicircles.
Area 1 circle = pr * r^2
Area 1 circle = 3.14 * (8/2)^2
Area 1 circle = 50.24
There are 2 such circles = 100.48
Total area of both results
Total Area = 100.48 + 100.48
Total Area = 200.96
Determine the value of each variable in the figure below. Keep answers in simplest radical form.
Step-by-step explanation:
cos60° = Adjacent/Hypotenuse = a/42.
=> a = 42cos60° = 21.
sin60° = Opposite/Hypotenuse d/42.
=> d = 42sin60° = 42(√3/2) = 21√3.
tan30° = Opposite/Adjacent = d/b.
=> b = d / tan30° = (21√3) / (1/√3) = 63.
sin30° = Opposite/Hypotenuse = d/c.
=> c = d / sin30° = (21√3) / (1/2) = 42√3.
A skateboarder is shown below.
we
z
At which point is the skateboarder's potential energy the greatest?
Point X
Point Y
Point W
Point Z
Answer:
answer is w
Step-by-step explanation:
help for this question pls :)
Step-by-step explanation:
tan(A/2)
tan(A/2)=sinA/1+cos A
tan(A/2)= 5/13÷1+12/13
tanA/2=1/5
Answer:
tan([tex]\frac{A}{2}[/tex] ) = ± [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Using the trigonometric identity
tan ([tex]\frac{A}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cosA}{1+cosA} }[/tex]
Given
tanA = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
This is a right triangle 5- 12- 13 ( with hypotenuse 13 ), then
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex] , then
tan ([tex]\frac{A}{2}[/tex] )
= ± [tex]\sqrt{\frac{1-\frac{12}{13} }{1+\frac{12}{13} } }[/tex]
= ± [tex]\sqrt{\frac{\frac{1}{13} }{\frac{25}{13} } }[/tex]
= ± [tex]\sqrt{\frac{1}{25} }[/tex]
= ± [tex]\frac{1}{5}[/tex]
Tim is reading a book. On Monday he reads 2 pages. On each day after that, he reads triple the number of pages as the previous day. How many pages did Tim read on Thursday?
Answer:
Tim read 54 pages on Thursday.
Step-by-step explanation:
Consider the provided information.
Tim read 2 pages on Monday. Each day after that, he reads triple the number of pages as the previous day.
Monday = [tex]2=2[/tex]
Tuesday = [tex]2\times 3=6[/tex]
Wednesday = [tex]2\times 3\times 3=18[/tex]
Thursday = [tex]2\times 3\times 3\times 3=54[/tex]
Hence, Tim read 54 pages on Thursday.
How many pages does Tim read on Monday? 2 pages.
If Tim tripled the amount that he read on Monday, how many pages did he read on Tuesday? 2 × 3 = 6 Pages
Repeat for Wednesday. 6 × 3 = 18 Pages
Repeat for Thursday. 18 × 3 = 54 Pages
Four more than six times a number is 18.
Answer:
2.3 repeating
Step-by-step explanation:
thats what i got
The length of a rectangle is represented by 4a+3b and its width is represented by 3a-2b. Enter the polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?
Answer:
a) The polynomial for the perimeter of the rectangle is = 14a - 2b
b) 150
Step-by-step explanation:
a) The formula for the area of a rectangle is given as:
P = 2L + 2W
From the question:
The length of a rectangle = 4a+3b
The width of a rectangle = 3a-2b.
The Perimeter of the rectangle is
Perimeter = 2(4a + 3b) + 2(3a - 2b)
Perimeter = 8a + 6b + 6a - 4b
Perimeter = 8a + 6a + 6b - 4b
Perimeter = 14a - 2b
Hence:
The polynomial for the perimeter of the rectangle is = 14a - 2b
b) What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?
Non-zero whole number are single digit number such as: 1, 2, 3, 4, 5, 6, 7, 8, 9
The perimeter of the rectangle is = 14a - 2b
We are asked to find the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number.
In order to solve this, we would used the highest non zero whole number which is 9
Hence,
For a = 12 , b = 9
14 × 12 - 2(9)
= 168 - 18
= 150
Hence, the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number is 150
Which graph shows a line with the slope of 3/2?
Answer:
B.
Step-by-step explanation:
slope = Rise (y difference) / Run (x difference)
B, Rise = 3 run = 2 slope = 3/2
The graph with a line of slope 3/2 is graph B.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Slope of a line with two points (x, y) and (x', y') on the lines is,
Slope = (y' - y) / (x' - x)
Take any two points from all the three graphs given to find the slope.
A. Two points are (0, 4) and (6, 8)
Slope = (8 - 4) / (6 - 0) = 4 / 6 = 2/3
B. Two points are (0, 0) and (4, 6)
Slope = (6 - 0) / (4 - 0) = 6/4 = 3/2
C. Two points are (0, 2) and (2, 8)
Slope = (8 - 2) / (2 - 0) = 6/2 = 3
Hence the graph B has slope equals 3/2.
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Nicholas has 6 ounces of dish soap in an old, nearly empty bottle. He also has 22 ounces of dish soap in a new, unopened bottle. Which expression tells you how much dish soap Nicholas has in all? A. 6+22 B.6x22
9-7w=8w+8
what is w??
Answer:
w=1/15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9−7w=8w+8
9+−7w=8w+8
−7w+9=8w+8
Step 2: Subtract 8w from both sides.
−7w+9−8w=8w+8−8w
−15w+9=8
Step 3: Subtract 9 from both sides.
−15w+9−9=8−9
−15w=−1
Step 4: Divide both sides by -15.
−15w/−15 = −1/−15
w = 1/15
Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and rounded to the nearest tenth.
A (−9, 3), B (−6, −1), C (2, 5), D (−5, 6)
Answer:
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
Step-by-step explanation:
Slope formula: m = (x' - x)/(y' - y)
m-AD: (6-3)/(-5 - -9) = 3/4 (I'm not detail other Other slopes)
m- BC = 3/4
m-AB = - 4/3
m-AD = m-BC AD // BC (ABCD is a Trapezoid)
m-AB = - 1 / m-BC
AB ⊥ BC
segment length formula: d = √(x' - x)² + (y' - y)²
AD = √(-5 - -9)² + (6 - 3)² = √4² + 3² = √25 = 5
DC = √50 = 7.1
BC = √100 = 10
AB = √25 = 5
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
area ABCD = (5+10)x5 / 2 =
A man paid $8,000 for a boat at an auction. The salesperson received a commission of 12% from the sale of the boat. What was the salesperson’s commission?
Answer:
$960
Step-by-step explanation:
to find the commission you muake the percent into a decimal
.12
and then multiply by the sale
8000 × .12
answer is $960
Simplify the expression below using the distributive property
Answer:
40+15i
Step-by-step explanation:
I don't know why you are doing this when you clearly know the answer. Have a good day.
Below, explain why we are allowed the
"substitute in" x - 3 for y in the top equation.
Why is this useful for finding our first solution?
x + y = 11
y = x - 3
Answer:
because in the bottom eqution it shows us x-3=y therefor we could re-write the top equation as x+x-3=11
Factor the greatest common factor out of the expression.
5m + 15m² + 5m
SHIRE
Answer:
5m
Step-by-step explanation:
The expression is 5m(1 + 3m + 1) = 5m(3m + 2), which cannot be simpolified further.
3x-15=3
what is x in this equation?
Answer: The answer is 6
Step-by-step explanation: 3x-15=3 Add 15 to both side
3x=18 Divide 3 to both side
3= 3
x=6 The answer
which rational number could be graphed between -4 and -5 a. -5 .5 b. -4.25 c. 4/5 d.4.5
Answer
C
Step-by-step explanation:
State if each triangle is acute, obtuse, or right. 50, 48, 14
Answer:
Each triangle are acute.
Step-by-step explanation:
Obtuse-an angle that is bigger than 90 degrees
Acute-an angle that is smaller than 90 degrees
Right triangle-an angle that is 90 degrees
Solve the given system by substitution.
Answer:
p = 2; q = 2
Step-by-step explanation:
What is the value of n?
07
O 11
O 14
15
07
Step-by-step explanation:
just want the answer right. thats the answer. not the answer btw just need points for my question cmon dude you know how it is. struggling really bad rn
The value of n in the given triangle is 11.
What is incenter of a triangle?The incenter is one of the triangle's points of concurrency formed by the intersection of the triangle's 3 angle bisectors.
Given that, triangle DEF, where A is the incenter of the triangle, we need to find the value of n,
Since we know that, incenter is a point in triangle where all the angle bisector meets, therefore,
3n-6 = 27
3n = 33
n = 11
Hence, the value of n in the given triangle is 11.
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apples cost $0.75 per pound and bananas cost $1.05 per pound
a baker bought a total of 12 pounds of apples and bananas for $10.20.
the systems of equation models the situation, where A is the number of pounds of apples and B is the number of pounds of bananas how many pounds of each did the baker buy?
Answer:
The baker bought 8 apples and 4 bananas
Step-by-step explanation:
System of Equations
Let's call:
a = pounds of apples
b = pounds of bananas
The baker bought a total of 12 pounds of apples and bananas, thus:
a + b = 12 [1]
Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus
0.75a + 1.05b = 10.20 [2]
Solving [1] for a:
a = 12 - b [3]
Substituting in [2]:
0.75(12 - b) + 1.05b = 10.20
Operating
9 - 0.75b + 1.05b = 10.20
Simplifying:
0.30b = 10.20 - 9 = 1.20
Dividing by 0.30:
b = 1.20/0.30
b = 4
From [3]:
a = 12 - 4 = 8
a = 8
The baker bought 8 apples and 4 bananas