Answer: 75 < x < 125.
Step-by-step explanation:
Let x be the amount of money in your wallet.
The phrase "100 dollars give or take 25" means wallet can have money between (100-25) dollars and (100+25) dollars.
i.e. 100-25 < x < 100+25
⇒ 75 < x < 125.
That means the amount of money in your wallet lies between 75 dollars and 125 dollars.
Hence, the inequality to describe the amount of money in your wallet is 75 < x < 125.
Hi.
i need help with this question.
Workings Please.
1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.
Answer: radius = 5.83 cm height = 8.12 cm
Step-by-step explanation:
First, let's find the circumference of the 210° section of the circle.
[tex]C=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\C=2\pi(10)\bigg(\dfrac{210^o}{360^o}\bigg)\\\\\\C=\dfrac{35}{3}\pi[/tex]
The circumference of the the cone is [tex]\dfrac{35}{3}\pi[/tex] . We can use this to find the radius .
[tex]C=2\pi r\\\\\dfrac{35}{3}\pi=2\pi r\\\\\\\dfrac{35\pi}{3\cdot 2\pi}=r\\\\\\\dfrac{35}{6}=r\\\\\\5.83=r[/tex]
When you fold the 210° section into a cone, the slant height is the original radius of 10. We can use the radius and slant height of the cone to form a right triangle with the height. Use the Pythagorean Theorem to find the height.
radius² + height² = slant height²
[tex]\dfrac{35}{6}^2\ +\ h^2=10^2\\\\\\.\qquad \quad h^2=10^2-\bigg(\dfrac{35}{6}\bigg)^2\\\\.\qquad \quad h=\sqrt{\dfrac{6^2(10)^2-35^2}{6^2}}\\\\\\.\qquad \quad h=\sqrt{\dfrac{2375}{36}}\\\\\\.\qquad \quad h=8.12[/tex]
Two coins are selected at random from 5 coins: 3
dimes and 2 quarters. What is the probability that
both are dimes?
A model car is built on a scale of 1:43.
The model is 11 centimetres long.
How long, in metres, is the real car?
Answer:
4.83 m
Step-by-step explanation:
Given:
Model : car = 1 : 43Model = 11 cmCar = ? mSolution:
11 : x = 1 : 4311*43 = x*1x = 483 cm x = 4.83 m4.83
i hope this helped
Step-by-step explanation:
Which point best approximates StartRoot 45 EndRoot? A number line going from 0 to 9. Point A is slightly to the right of 2, point B is to the left of 5, point C is to the left of 7, and point D is to the right of 7.
Answer:
b
Step-by-step explanation:
Th sum of three(3) consecutive integers is 72. What are the integers?
Answer:
X + X + 1 + X + 2 = 72
3X + 3 = 72
3X + 3 - 3 = 72 - 3
3X = 69
3X/3 = 69/3
X = 23
Step-by-step explanation:
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side.
In order to join an online tutoring group, there is a
$40 startup fee and a $5 monthly fee. After how
months would it have cost $90? Write an equation
Answer:
10 months after the start fee
If -5 > a and a > b then -5 is *
Answer:
greater than b
Step-by-step explanation:
We can use the transitive property for this answer. The transitive property states that if A=B, and B=C, A will always be equivalent to C. Similarly in this equation, -5 is greater than a, and a is greater than b, so -5 must be greater than b.
A company owns two manufacturing plants with daily production levels of 8x + 17 widgets and 5x - 7 widgets, where x represents a minimum quantity. How many more items does the first plant produce daily than the second plant?Immersive Reader
Answer:
3x + 24
Step-by-step explanation:
Given that;
Company owns two manufacting plants with the following daily production levels :
PLANT A:
8x + 17 widgets
PLANT B:
5x - 7 widgets
Where x = minimum quantity
How many more items does the first plant produce daily than the second plant?
Subtract the Plant B's production level from plant A
8x + 17 - (5x - 7)
8x + 17 - 5x + 7
Collecting like terms
8x - 5x + 17 + 7
3x + 24
Hence, the number of items the first plant produce daily than the second plant is :
3x + 24
What is the radius given the
diameter is 15?
Answer:
7.5
Step-by-step explanation:
the radius of a circle is half of the diameter.
so: 15/2=7.5
hope that helps
If triangle ABC is reflected over the y-axis which point(s) will be their own image(s)?
Answer:
Please read the explanation!
Step-by-step explanation:
Hi! I will try to do my very best with helping you. Because there is not an example that goes along with this question, I will give my own.
Lets say we have triangle ABC in quadrant II. The Points are:
A: (-5,1)
B: (-3,5)
C: (-1,1)
If we plot that than we have a triangle. And when we reflect anything, not just a triangle, we would need to basically flip it over and mirror the image. The triangle will move, but it is the same triangle as it was before. All that has happened is that is was married to the otherside.
If you are a bit confused think of when you are in front of a mirror.
So let's reflect it over the y-axis.
When in doing so, you need to make sure that the x in (x, y) is changed into a positive number. We need to make sure that we know that quadrant I has positive x-axis.
So,
A becomes (5,1)
B becomes (3,5)
C becomes (1,1)
And if you plot that it should be flipped or reflected like a mirror image.
I really hope this helped!
if y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Answer:
39,6
Step-by-step explanation:
[tex] \frac{5}{11} = \frac{18}{y} [/tex]
= 18 x 11
= 198
= 198 ÷ 5
= 39,6
The answer is 39,6
PLS HELP ALGEBRA 2 QUESTION ASAP 5 STARS AND BRAINLIEST what type of polynomial is [tex]-5x^{4}y+3x^{2}y+4xy-6y+1[/tex] and show your work.
Answer:
Binomial
Step-by-step explanation:
Edited to add:
It can also be called a binomial because there are 2 unlike terms x and y. I'm not sure what you are studying, so it may be better to go with binomial. The Quartic is when you are looking at the degree of a single term polynomial.
You can name a polynomial based on terms, or based on degrees.
If it's based on degree it would be bi-quadratic, because it's ^4 and you have 2 different terms. If you're looking at terms it would be binomial because you have x and y to solve for.
The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.
You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.
All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.
Answer: 5th degree polynomial (quintic polynomial)
====================================================
Explanation:
5x^4y is the same as 5x^4y^1. The exponents 4 and 1 sum to 4+1 = 5
The term 3x^2y, or 3x^2y^1, has the exponents add to 3
The term 4xy has the exponents add to 2
The largest sum of exponents is 5, so we have a 5th degree polynomial
This is known as a quintic polynomial
Note: the degree of the polynomial is equal to the largest sum of exponents for each term, so the degree is 5.
In a box, there are black pens, red pens and green pens
the ratio of black pens to not black pens is 9:11
the ratio of green pens to not green pens is 3:5
fins the ratio of black pens to red pens to green pens
What do we know?
There are 9 black pens and 3 green pens.
What else do we know?
We know that 11 of the pens aren't black, and 5 of them aren't green.
Black pens (9) : red pens (6) : green pens (3)
How'd I get 6?
If 11 pens aren't black, they had to be green, but 5 of them weren't green. So, I subtracted 11 from 5 to get 6 red pens.
I hope that makes sense.
Final answer:
9:6:3
WARNING: I could be wrong as I'm not fully sure, but this is what I think.
Please help will.gibe brainliest !!!
Answer:
Please give brainliest
Step-by-step explanation:
1. 0, 121, 8
2. 121, 8
3. 121, 8
Carla is 5 years older than Nick and Nick is 4 years older than Nancy. The
sum of their ages is 46. How old is Carla?
Answer:
Carla is 20 years old
Step-by-step explanation:
If Nancy is 11, then Nick is 15 and Carla 20. 11+15+20=46
Solve for x: -32x + 6 = -12 (1 point)
a
x = 1 and x = 5
Ob
x = -1 and x = -5
С
x = -9 and x = 3
No solution
Answer:
none of the above solutions
Step-by-step explanation:
-32x+6=-12
-32x=-12-6
-32x=-18
divide both sides by 18x=16/9
can anybody help me out thanks I'm having trouble
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
theres a test that was like this one that i tookk
1y
Which intervals show f(x) decreasing? Check all that
apply.
4
-3 -2 -1
3
[-2.5, -2]
(-2,-1.5)
0 (-1, 1)
[1.5, 2]
[2, 2.5)
(2.5, 3]
4
-8
12
-16
I don't have gotten any answer of this question
The radius of a circle is 3 millimeters. What is the circle's circumference?
r=3 mm
Use 3.14 for .
Answer: bro it’s
18.84
Step-by-step explanation:
Write interval notation of the given number line.
-3 -2 -1 0 1 2 3 4 5
Answer:
(0,3]
Step-by-step explanation:
You put ( when the number is included and ] when the number isn't included. So 0 is included and 3 isn't.
What is 3 to the 8th power times 3 to the 2nd power simplified and what law did you use?
Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
[tex]3^{8}*3^{2}=3^{8+2}=3^{10}[/tex]
Using the multiplication/product law of exponents, you can add the exponents up.
Answer:
3^10 and the law used would be the Product Rule for exponents.
Step-by-step explanation:
turning this question into an equation you would get:
3^8 * 3^2 = ?
The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:
A^x * A^y = A^(x+y)
Applying it to this question, you get
3^8 * 3^2 = 3^(8+2)
3^(8+2) is 3^10.
Therefore the simplified expression is 3^10.
Jenae works at a clothing store and gets a bonus at $10 a month, plus $0.50 every time she sells the item of a month. Every costumer compliments her service to the mangers, she gets a $2 bonus. If jenae sold the item of the month 17 time and reciuved 2 costomer compliments. What will her bonus be this month
Answer: Jenae will get $22.50 at the end of the month
Step-by-step explanation:17*0.50=8.50
2*2=4
8.50+4=12.50
12.50+10=22.50
Answer:
$22.50
10 + 0.5 (17) + 2 (2)
10 + 8.5 + 2 (2)
10 + 8.5 + 4
22.50
Find the product. (3x2 + 2y) (5x2 + y) A. 15x4 + 13x2y + 2y2 B. 15x4 + 13x2y2 + 2y2 C. 8x4 + 10x2y.+ 3y2 D. 15x4 + 10x2y + 2y2
Answer:
Its A. 15x^4+13x^2y+2y^2
4b+5=1+5b what does b equal
Answer:
b=-1
Step-by-step explanation:
1+5b=4b+5
-4b -4b
1+4b=5
-4b -4b
1=4b+5
-5 -5
-4 = 4b
b=-1
sorry i made a mistake this could've been shorter but :D
Select all the true statements. Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 Group of answer choices The length of AB is -3. The length of BC is 6. AB + BC = AC d(B, C) = BC = |6 - 1| AB + AC = BC
Answer:
AB + BC = AC
d(B, C) = BC = |6 - 1|
Step-by-step explanation:
Given the following information :
Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 Group of answer choices The length of AB is -3
Length of line segment spans from - 6 to + 6
Location of points :
Point A = - 2
Point B = 1
Point C = 6
AB = 3
BC = 5
AC = 8
AB + BC = AC ; 3 + 5 = 8
d (B, C) = 5 = |6 - 1|
Kindly check attached picture for more explanation
which is equivalent 4 pencils for every 2 student
Answer:
8 pencils for every 4 students
Step-by-step explanation:
Answer:
4 pencils per 2 students
explanation:
i just did it
there are 60 rooms in a building. 1/4 of the rooms are for management. 1/2 of the rooms are for sales. the rest is for warehouse workers. How many rooms are used for warehouse workers?
Answer:
1/4 is used for warehouse workers.
Step-by-step explanation:
If 1/4 is used for management and 1/2 are used for sales, together, that's only a total of 3/4 leaving 1/4 left for warehouse workers.
Hope this helps.
Answer:
15 rooms (1/4)
Step-by-step explanation:
No of rooms for the management: 60 × 1/4 = 15
No of rooms for the sales: 60 × 1/2 = 30
No of rooms for warehouse workers: Total rooms - (No of rooms for the management + No of rooms for the sales)
= 60 - (15 + 30)
= 60 - 45
= 15
The number of rooms for the warehouse workers is 15 (which is 1/4 of the total number of rooms).
one and three hundred twenty four thousandths as a decimal
Answer:
1.324
Step-by-step explanation:
Answer:
1.324
Step-by-step explanation:
One whole and three hundredths is 1.3
Add the twenty four thousandths and you get 1.324
Hope this helps!
carlos spent half of his paycheck on concert tickets. to earn more money, he recycled cans and received $10. how much was his paycheck if he ended up with $34
if (5^0)^x =1 what are the possible values for x?
Answer:
x can be any real value
Step-by-step explanation:
(5^0)^x =1
We know that a^ b^c = a^ ( b*c)
5^(0*x) =1
5^0 =1
1=1
It doesn't matter the value of x because 0*x =0
x can be any real value