Answer: [tex]9\div (x+1)[/tex]
Step-by-step explanation:
In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .
Given phrase: The quotient of nine and the sum of a number and one
Let the number be x.
Then, the statement become: The quotient of nine and the sum of x and one.
i.e. [tex]9\div (x+1)[/tex] [since sum of x and 1 = x+1]
Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .
Answer:
9 divided (x+1)
Step-by-step explanation:
apeex
HI!! Please help me asap, thank you!
Answer: -24.8 or 24 4/5
Step-by-step explanation:
How to find the mean: add up ALL the number you want or need then DIVIDE by how many there are.
So: -28 + -26 + - 13 + -39 + -18 = -124
You are not done though.
You HAVE to divide -124 by 5.
so your mean should be -24.8 degrees feriheit,
R(x)=2√x s(x)=√x (rs)(4)
Answer:
(rs)(4) = 8
Step-by-step explanation:
r(x)=2√x s(x)=√x
(rs)(x) = r(x) × s(x) = 2√x ×√x = 2x
(rs)(4) = 2×4 = 8
Answer:
The second one is 2
Step-by-step explanation:
Just got it right on edg
12y+6=6(2y+1) does it have a soultion
Answer:
12y + 6 = 12y + 6
Step-by-step explanation:
both sides are identical, so no.
Answer:
because y=y it has infinitely many solutions
Step-by-step explanation:
If their is 17 boys and 16 girls what is the percent of girl in the class
Answer:
48.484848 repeating %
Step-by-step explanation:
The total number in the class is
17+16 = 33
Percent girls is girls/total = 16/33 =.48484848 = 48.484848 repeating %
1. A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30° to the ground. Find the
horizontal and vertical component of the force.
Answer:
3
Step-by-step explanation:
The horizontal component of the force is 25.98 lb and the vertical component is 15 lb.
What is vector?A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.
The sum of two vector quantities is always a vector quantity.
The sum of two vector quantities can vary from their scalar difference to their scalar addition.
Given that,
The force applied by the man is 30 lb.
The angle the force makes with ground is 30°.
For a vector A making angle x with the horizontal axis the horizontal and vertical component are given as,
The horizontal component is ACos(x)
And, the vertical component is ASin(x)
Thus, the horizontal and vertical component of the force are
Horizontal component = 30Cos(30°)
= 30 × √3 / 2
= 25.98
Vertical component = 30Sin(30°)
= 30 × √3/2
= 15
Hence, the horizontal and vertical components of the force are 25.98 lb and 15 lb respectively.
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Which number is prime? 21 22 23 24
Answer:
23 is the prime number
How?
▶
21 is divisible by 3
21 is divisible by 322 is divisible by 2
21 is divisible by 322 is divisible by 223 is not divisible by any no.
21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2
Step-by-step explanation:
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
prime numbers - prime numbers numbers are those numbers who have only one factor 1 and that no it self
21 is divisible by 3 and 7 so it is not a prime number22 is divided by 2 and 11 so it is not a prime number23 is divisible by oly 1 and the number it self it means 23 is a prime number24 is divisible by 2 , 3, 4, 8, 12Hope it helps u mate
Simplify the expression. -(6)-1
A: -1/6
B: 1/6
C: 6
D: -1
Plz help me I need so much help
Answer:
see below
Step-by-step explanation:
We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.
You can read the overall length of the shaded area as 5/4, from the markings.
For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.
So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...
[tex]\boxed{\dfrac{2}{3}\times\dfrac{5}{4}}[/tex]
∠A and ∠B are complementary angles. The measure of ∠A=4x° and the measure of ∠B=50°. Find m∠A. * i dont understand can someone help?
Answer:
m>a is 40
Step-by-step explanation:
4x + 50 = 90
4x = 40
x = 10
10*4 = 40
M>A = 40
Given A(1, 5) and B(3, 13), find AB.
[tex]\dag\bf\:A(x_1,y_1)=(1,5)[/tex]
[tex]\dag\bf\:B(x_2,y_2)=(3,13)[/tex]
We have to find distance between point A and point B[tex].[/tex]
[tex]\bigstar\:\boxed{\bf{AB=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}}}[/tex]
[tex]:\implies\tt\:AB=\sqrt{(3-1)^2+(13-5)^2}[/tex]
[tex]:\implies\tt\:AB=\sqrt{(2)^2+(8)^2}[/tex]
[tex]:\implies\tt\:AB=\sqrt{4+64}[/tex]
[tex]:\implies\tt\:AB=\sqrt{68}[/tex]
[tex]:\implies\tt\:AB=\sqrt{4(17)}[/tex]
[tex]:\implies\underline{\boxed{\bf{\red{AB=2\sqrt{17}\:unit}}}}[/tex]
There are two 3-digit numbers $n$ having the property that $n$ is divisible by 11 and $\dfrac{n}{11}$ is equal to the sum of the squares of the digits of $n$. Find both values of $n.$ You may submit them in either order.
Answer:
550 and 803
Step-by-step explanation:
Let the number be N = abc
Then:
abc/11 = (a² + b² + c²) ⇒ abc = 11(a² + b² + c²)There are:
1000 - 100 = 900 3-digit numbersOut of 900 numbers:
1000/11 - 100/11 = 81 are divisible by 11The easiest and simplest way is to try them all.
The trial reveals 550 and 803, so this is the answer.
According to Euclidean geometry, a plane contains at least points that on the same line.
Answer:
According to Euclidean geometry,a plane contains at least THREE points that DO NOT LIE on the same line.
Step-by-step explanation:
Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.
According to Euclidean geometry, a plane contains at least; 3 Points
The 3 points; do not lie on the same line
In Euclidean Geometry, a plane is defined as a flat surface that extends infinitely in all directions. It further states that for any three non-collinear points, there exists exactly one plane passing through them.Now, planes can either be parallel or they can possibly intersect each other in a line and the three collinear points must not lie on the same lineIn conclusion, looking at the question we can say that a plane contains at least 3 points on the same line.
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Given that f(x) = 6x + 2 and g(x) =
2x + 4
5
solve for g(f(1)).
1
03
4
8
Answer:
[tex]\displaystyle g(f(1)) = 20[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=6x+2 \text{ and } g(x)=2x+4[/tex]
And we want to find:
[tex]g(f(1))[/tex]
First, find f(1):
[tex]\displaystyle \begin{aligned} f(1) &= 6(1) + 2 \\ &= 6 + 2 \\ &= 8 \end{aligned}[/tex]
Substitute:
[tex]g(f(1))=g(8)[/tex]
Find g(8):
[tex]\displaystyle \begin{aligned} g(8) &= 2(8) + 4 \\ &= 16 + 4 \\ &= 20 \end{aligned}[/tex]
In conclusion:
[tex]\displaystyle g(f(1)) = 20[/tex]
What does –5(–2) equal? I’ll give brainiest
Answer:
Um... positive ten.
Step-by-step explanation:
negative * negative= positive. So the answer is ten.
Answer:
10
Step-by-step explanation:
● -5 (-2)
● (-5) × (-2)
The product of two negative numbers is a positive number
● 5×2
● 10
Help me please
Surds
Answer:
12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
(4[tex]\sqrt{3}[/tex] + 2[tex]\sqrt{2}[/tex] )(3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
4[tex]\sqrt{3}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) + 2[tex]\sqrt{2}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) ← distribute both parenthesis
= 12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]
Amovie ticket costs $10, and it costs an additional p dollars to buy a small popcorn. The total cost for 3 people to go to the Movie theater and each buy a popcorn is $42. How much does it cost for one person to buy a popcorn? It would cost $ for one person to buy a popcorn.
Answer:
14
Step-by-step explanation:
Answer:
$4
Step-by-step explanation:
A movie ticket costs 10 dollars, and three people go.
10 x 3 = 30
42 - 30 = 12
The leftover money is for buying popcorn for each person.
12 / 3 = 4
So, it would cost 4 dollars for one person to buy a popcorn.
If a sample mean is 7 and the confidence interval is from 4 to 10, then the
margin of error must be plus or minus
4
10
7
3
6
Answer:
±3
Step-by-step explanation:
4 - 7 = -3
10 - 7 = 3
Evaluate the following expression, let a = -1, b = 3, and c = 0
10a
lla +4
Answer:-10,-7
Step-by-step explanation:
10*-1=-10
11*-1+4=-7
You work at a craft store that sells paint kits. The kits have 4 thin paintbrushes for every 6 thick brushes. What is
ratio of thick paintbrushes to thin paintbrushes? a.2:3
b.3:2
c.2:4
d.6:10
e.10:6
Answer:
b. 3:2
Step-by-step explanation:
thick paintbrushes : thin paintbrushes
6 : 4 (both can be divide by 2,so we simplifiy by dividing both with 2)
3 : 2
The solution is Option B.
The ratio of thick paintbrushes to thin paintbrushes is 3 : 2
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the equation be represented as A
Now , the value of A is calculated as
Let the number of thin paintbrushes in the kit be = x
The value of x = 4
Let the number of thick paintbrushes in the kit be = y
The value of y = 6
Now , the proportion is given by
The ratio of thick paintbrushes to thin paintbrushes = number of thick paintbrushes in the kit / number of thin paintbrushes in the kit
Substituting the values in the equation , we get
The ratio of thick paintbrushes to thin paintbrushes = 6 / 4
The ratio of thick paintbrushes to thin paintbrushes = 3 / 2
The ratio of thick paintbrushes to thin paintbrushes = 3 : 2
Therefore , the value of A is 3 / 2
Hence , the ratio of the paintbrushes is 3 : 2
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18
A person typically breathes about 8.64 x 10^3 liters of air per day. The life expectancy of
a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.
Answer:
2.53×10^8 liters
Step-by-step explanation:
(8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L
Could someone solve this? Thank you!
Choose the number line that correctly compares 24 and 4.256
A number line shows the comparison between numbers, at a regular interval.
The correct number line that compares [tex]\sqrt{24[/tex] and [tex]4.256[/tex] is (c)
The numbers are given as:
[tex]n_1 = \sqrt{24}[/tex]
[tex]n_2 = 4.256[/tex]
So, we have:
[tex]n_1 = \sqrt{24}[/tex]
Take square roots
[tex]n_1 = 4.899[/tex]
4.899 is greater than 4.256 i.e. [tex]n_1 > n_2[/tex]
So, we have:
[tex]\sqrt{24} > 4.256[/tex]
Number lines increases in value towards the right. This means that:
[tex]\sqrt{24}[/tex] will be at the right-hand side of 4.256[tex]\sqrt{24[/tex] will be between 4.8 and 4.9Hence, the correct number line is: (c)
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Examine the table of input (x) and output (y) values below. Is there a relationship between the input and output values? If so, write an equation for this relationship.
Answer:
y = 3x -1
Step-by-step explanation:
y = mx +/- b
To find the y-intercept, using the table, we look for when x = 0. In this question, when x=0, y = -1. Therefore the y-intercept is -1.
to find the slope (m), we just plug in an "x" value and "y" value, and solve for "m".
i.e.
2 = 1m - 1
3 = 1m
m = 3 = slope
If you use this with any of the other values you will get the same result.
I hope this helps!
-TheBusinessMan
-
simplify 3^5 • 3^4
a. 6^9
b. 3^9
c. 3 • 20
d. 3^20
Answer:
The answer is option BStep-by-step explanation:
[tex] {3}^{5} . {3}^{4} [/tex]To solve this question we use the rules of indices.
That's since the bases are the same and are multiplying we add the exponents
That's
[tex] {a}^{x} . {a}^{y} = {a}^{x + y} [/tex]So from the question
[tex] {3}^{5} . {3}^{4} = {3}^{5 + 4} [/tex]We have the final answer as
[tex] {3}^{9} [/tex]Hope this helps you
Answer:
b
Step-by-step explanation:
URGENT!
B is the midpoint of line segment AC. If AB = 4x + 1 and AC = 5x + 20, find the length of BC.
Answer: 25 units.
Step-by-step explanation:
Given: B is the midpoint of line segment AC.
[tex]\Rightarrow\ AB=\dfrac{AC}{2}[/tex]
If [tex]AB = 4x + 1[/tex] and [tex]AC = 5x + 20[/tex], then we have
[tex]4x+1=\dfrac{5x+20}{2}[/tex]
Multiply 2 on both sides, we get
[tex]2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6[/tex]
Now, AC = 5(6)+20 =30+20=50 units
Then, BC= [tex]\dfrac{50}{2}=25\text{ units}[/tex]
Hence, the length of BC is 25 units.
(12x - 1.7) - (17x + 6.7) =
Answer:
-5x-8.14 is the correct answer
Step-by-step explanation:
First distribute the terms
12x - 1.7 - 17x -6.7 =
Then add/subtract similar terms
12x - 17x = -5x
-1.7 -6.7 = -8.14
so it's -5x -8.14
:)
Answer: -5x-8.4
Step-by-step explanation:
[tex]\left(12x-1.7\right)-\left(17x+6.7\right)[/tex]
remove the parentheses
[tex]12x-1.7-17x-6.7[/tex]
Simplify
Group like terms
[tex]12x-17x-1.7-6.7[/tex]
Add
[tex]12x-17x=-5x=[/tex]
[tex]-5x-1.7-6.7[/tex]
Subtract
[tex]-1.7-6.7=-8.4[/tex]
= [tex]-5x-8.4[/tex]
2 (w^2-2w)=5 SOLVE USING QUADRATIC EQUATION
Answer:
x=4+ 2root14/4
by using quadratic formula
What is the value of the expression below when w equals
8?
W^2- 4w - 2
Answer:
When w =8. then...
8^2-4(8)-2.
64-32-2=30.
Answer:
Step-by-step explanation:
Plug in the value of w in the expression and use PEMDAS
w² - 4w - 2 = 8² - 4*8 - 2 {Need to calculate exponents}
= 64 - 4*8 - 2 {Now do multiplication}
= 64 - 32 - 2
= 32 - 2
= 30
What is the range of h?
Answer:
-3 ≤y≤6
Step-by-step explanation:
The range is the output values or the y values
The y values go from -3 to 6 including these values
-3 ≤y≤6
Mrs.Ruiz bought 4 14 pounds of sliced of ham for $17. At that rate, what is the cost of 1 pound of sliced ham
Answer:
Cost of 1 pound if sliced ham = $4
Step-by-step explanation:
Mrs. Ruiz bought 4 1/4 pounds of sliced ham for $17. At that rate, what is the cost of 1 pound of sliced ham?
Total pounds of ham bought= 4 1/4 pounds
Total cost = $17
what is the cost of 1 pound of sliced ham
Cost of 1 pound if sliced ham = Total cost of 4 1/4 sliced ham / 4 1/4
= $17 ÷ 17/4
= 17 × 4/17
= 4
Note:4 1/4 = 17/4
Cost of 1 pound if sliced ham = $4
Check:
4 1/4 pounds × $4 per pound
= 17/4 × 4
= $17