Can you Factorise 22 + 10x
=> 22+10x
=> 2(5x+11)
This is the answer for your question
Answer:
Yes
Step-by-step explanation:
Find the GCF of 22 and 10.
22 - 1, 2, 11, 22.
10 - 1, 2, 5, 10.
The GCF is 2.
22/2=11
10/2=5
So the factorized expression is 2(11+5x)
-hope it helps
25 - [2x(18 divided by 3) + 2
Answer:
the answer is 11
Step-by-step explanation:
if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year. Find the total number of raffle tickets sold at the end of 9 years.
Select the correct answer below:
9,158
9,351
9,818
10,666
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.
The total number of raffle tickets sold at the end of 9 years is approximately 9,818.
To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.
Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.
Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4
Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92
Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666
Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)
Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56
The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.
The correct option is 9,818.
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The college student senate is sponsoring a spring break Caribbean cruise raffle, with proceeds going to the local homeless shelter. A local travel agency donated the cruise, worth an estimated $3000. The students sold 2900 tickets at $5 per ticket. Find the mathematical expectation of a student who purchases 10 tickets.
Answer:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Step-by-step explanation:
A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:
\(p=10/2900\approx0.00345\)
Each ticket cost $5, so he has spent $50 for the 10 tickets.
Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:
\(E(X)=p\cdot R-C\\\\E(X)=0.00345\cdot3000-50=10.35-50=-39.65\)
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Is the value of 8 in 345,802 ten times greater or smaller than the value of 8 in 758,910
Answer:
Yes
Step-by-step explanation:
One is in the hundreds and one is in the thousands. 100x10=1000
A landscaping company charges customers for lawn care based on the area of their yards. Mr. Jones was charged $52 for his yard, which is 40 feet by 65 feet.
If a neighbor’s yard is 50 feet by 80 feet, what would the neighbor be charged based on how much Mr. Jones was charged?
A
$60
B
$80
C
$100
D
$120
Step-by-step explanation:
40×65=2600
2600/ 52=50
50×80=4000
4000/50=80
Which of the following is the most likely the next step in the series?
Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.
Divide. 9,625/24 (Round your answer to the nearest whole number.)
Answer:
401
Step-by-step explanation:
All but 6 of the 25 students in my 6th grade math class play spring sports.
What percent of the students do not play spring sports?
Answer: 24% of students
Step-by-step explanation:
6 students divided by 25 total students = 0.24. You would multiply 0.24 by 100 or move the decimal two places to the right to get the percentage. In this case, the percentage would be 24%. 24% of students do not play spring sports.
\(6/25 = 0.24 *100 = 24 percent\)
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Claire has quarters and nickels in her purse. The total value of the coins is $2.65. Which equation can be used to find x, the number of quarters in Claire’s purse?
Coins in Claire’s Purse
Coin
Number of coins
Nickels
2x + 4
Quarters
x
5 (2 x + 4) + 25 x = 2.65
0.05 (2 x + 4) + 0.25 x = 2.65
0.5 (2 x + 4) + 0.25 x = 2.65
(2 x + 4) + x = 2.65
Answer:
0.05(2x +4) +0.25x =2.65
Step-by-step explanation:
The decimals are in the right places. A. would have been correct but it would have had to be 265 instead of 2.65. They put the decimals in the incorrect place.
Answer:
0.05(2x +4) +0.25x =2.65 or b
Step-by-step explanation:
edge 2021
Inequalities - Introduction
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
What is the correct maximum or minimum for the function f(x) = -|x-2| + 1
Answer:
1
Step-by-step explanation:
The graph is shifted up one unit
Answer:
f(max) = 1Step-by-step explanation:
Given function:
f(x) = - |x - 2| + 1Since the value of the |x - 2| can be zero or positive only, the graph has its maximum at x = 2:
f(2) = 0 + 1 = 120 POINTS!!!!! NEED ASAP
Which numbers are solutions of 7a−6=a2+4
Choose exactly two answers that are correct.
2
5
7
10
Answer:
a = 5 ; a = 2Step-by-step explanation:
solve for a from the given equation: 7a - 6 = a² + 4
a² - 7a + 10 = 0
the equation can be solved using quadratic equation: ax² + bx + c = 0
x₁,₂ = - b ± √(b² - 4ac)
2a
where a = 1
b = -7
c = 10
now, plug in values into the formula:
a₁,₂ = - (-7) ± √(-7² - 4(1)10)
2(1)
a₁ = 7 + 3 = 10 = 5
2 2
a₂ = 7 - 3 = 4 = 2
2 2
therefore, the answer to the equation is:
a = 5 ; a = 2
solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n
The solution to the inequality expression is n < -9
How to solve the inequality expression?The inequality expression is given as
4n - 6(n + 1) > 12
Open the bracket in the above inequality expression
4n - 6n - 6 > 12
Evaluate the like terms
-2n > 18
Divide both sides by -2
n < -9
Hence, the solution to the inequality expression is n < -9
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what is the density of the oak board? show your work.
I think this is a physics problem.
I'll read it
a) A rectangular prism and a cylinder
b) Volume of the log = pi*r^2 x h
Volume of the log = 3.14*5^2* 30
Volume of the log = 2355 in^3
density = weight / volume
density = 4263 / 2355
density = 1.81 lb/in^3 This is the result
Write two integers that are
additive inverses (opposites).
Answer:
-7, and 7
Step-by-step explanation:
It's on a number line if a you search it up
Hence, the integers are \(+2,-2\).
What are the additive inverse?
The additive inverse of a number a is the number that, when added to a, yields zero.
The additive inverse of integers is zero
i.e., \(+2.-2\)
\(+2-2=0\)
Hence, the integers are \(+2,-2\).
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5th grade hw, please help for my brother, thank you.
Answer:
Part A: 84 boxes
Part B: Explained below
Part C: 2 layers of boxes high
6 boxes width per layer
7 boxes length per layer
Step-by-step explanation:
Part A:
In terms of height, we can see that there are 3 boxes
In terms of width, we can see that there are 4 boxes.
In terms of length, we can see that there are 7 boxes.
Thus, number of boxes = 3 × 4 × 7 = 84 boxes
Part B:
What I've just done in part A is same as V = l × w × h
Thus is because if we take one strip vertically, we will see just height and length.. But since they are stacked and of same size, we will just multiply by the number of rows that make up the width to get the total number of boxes that form the prsim.
Part C:
Since he wants it to be 2 layers high, we can only put 1 box on another one.
Now, he wants the width to be less than 14 inches,which means that there should be less than 14/2 = 7 boxes. So let's adopt 6 boxes along the width.
He wants the length to be less than 30 inches. This means that the length should be less than 30/2 = 15 boxes
Since we know that the height has 2 layers, it means number of boxes along the width and length = 84/2 = 42 boxes
Let's find multiples of 42 and they are;
1, 2, 6, 7, 21, 42.
Looking at these multiples, the most appropriate to use will be 6 and 7.
Thus,he can use 6 boxes as width per layer and 7 boxes as length per layer
Thus, he will stack the boxes as follows;
2 layers of boxes high
6 boxes width per layer
7 boxes length per layer
In ΔWXY, w = 320 inches, y = 740 inches and ∠Y=169°. Find all possible values of ∠W, to the nearest 10th of a degree.
Which is the graph of g(x) = (0.5)^x+3 -4?
The graph of the function g(x) = (0.5)ˣ +3 -4 is shown (refer the graph attached below.)
What do we mean by the graph of the functions?The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We could also say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function. To determine if a graph represents a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point. The graph is not a function if the vertical line touches it at more than one location.So, the graph of the function g(x) = (0.5)ˣ +3 -4 will be:
(Refer to the graph attached below.)Therefore, the graph of the function g(x) = (0.5)ˣ +3 -4 is shown.
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The correct question is given below:
What is the graph of g(x) = (0.5)^x+3 -4?
In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes
what is percent ?
A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".
In the given question,
Let's assume that there are 100 people in Math town.
60% of them are males, so there are 60 males and 40 females.
Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.
28% of the entire population have brown eyes, so there are 28 people with brown eyes.
To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:
28 - 18 = 10
So, there are 10 females with brown eyes.
Out of the 40 females in Math town, what percentage have brown eyes?
10 brown-eyed females out of 40 females is:
10/40 = 0.25 or 25%
Therefore, 25% of the females in Math town have brown eyes.
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Please answer this question.
Answer:
Step-by-step explanation:
\(1c-0.25c=0.75c\)
On a map, 1 inch equals 16.3 miles. If two cities are 1.5 inches apart on the map, how far are they actually apart?
Answer: 24.45 miles apart
Step-by-step explanation:
because if its 1.5 inches apart so we already know 1 inch is 16.3 then half and inch is 8.15 so 16.3+8.15 is 24.45
A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel and additional 247 kilometers?
Answer:
The motorist's rate is:
rate = distance / time
where distance is measured in kilometers and time is measured in hours.
We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:
rate = distance / time = 228 km / 6 hours = 38 km/hour
To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:
time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours
Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.
10. Find \(\frac{d^{2}}{d x^{2}}\int ^x_0\left(\int ^{\sin t}_1\sqrt{1+u^{4}}du\right)dt\text{.}\)
Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is
\(\displaystyle \frac{d}{dx} \int_0^x g(t) \, dt = g(x)\)
Then using the FTC again, differentiating g gives
\(\displaystyle \frac{dg}{dx} = \frac{d}{dx} \int_1^{\sin(x)} \sqrt{1+u^4} \, du = \boxed{\cos(x) \sqrt{1+\sin^4(x)}}\)
Based on your work in Question 1 through 3, what is the relationship between the radius, , and the tangent line, ? What can you conclude about any tangent line to a circle and the radius of the circle? Explain.
Answer:
Can u show a picture of questions 1 through 3 so I can answer?
Step-by-step explanation:
Answer:
Sample Answer for Edmentum
Question 7. Every day, Omar put the extra change from his pockets into a glass jar. After 30 weeks, he
3
had saved up $16.00. Omar decided to use of the money from the jar to buy canned food for a
homeless shelter. How much money did Omar spend on canned food?
Answer:
$16
Step-by-step explanation:
He had $16 so he had spent all of it due to the question asked.
Please help!
Solve 3x+2=4x-5(x+6)
Answer:
x = -8
Step-by-step explanation:
3x+2 = 4x-5 (x+6)
=> 3x+2 = 4x-5x-30
=> 3x-4x+5x = -2-30 (arragning the like terms together)
=> 4x = -32
=> x = -32/4
=> x = -8
Answer:
x = -8
Step-by-step explanation:
First, we want to take care of the multiplication on the second half, so we can more easily manipulate the sides:
\(4x-5(x+6) = 4x - (5x + 30) = -x - 30\)
With that out of the way, we can start isolating the sides:
\(3x+2 = -x - 30\)
\(3x+2(+x) = -x - 30(+x) = 4x+2 = -30\)
\(4x+2(-2)=-30(-2) = 4x = -32\)
Now that we have x isolated, we can divide both sides by 4 to get our answer:
\(4x(/4) = -32(/4) = x=8\)
\(x=-8\)
if f(x)=sqrt x which equation describes the graphed function?
A. g(x) = f(-x) + 2
B. g(x) = -f(x + 2)
C. g(x) = -f(x) + 2
D. g(x) = f(-x + 2)
The equation that describes the graphed function is Option C: g(x) = -f(x) + 2.
The given function is f(x) = √x, which represents the square root function. To determine which equation describes the graphed function, we need to analyze the transformations applied to the original function.
Option A, g(x) = f(-x) + 2:
This equation represents reflecting the graph of f(x) across the y-axis (due to the negative sign in front of x) and then shifting it vertically upward by 2 units. However, this transformation does not match the graph of f(x) = √x.
Option B, g(x) = -f(x + 2):
This equation represents taking the negative of the original function f(x) and shifting it horizontally left by 2 units. This transformation does not match the graph of f(x) = √x.
Option C, g(x) = -f(x) + 2:
This equation represents taking the negative of the original function f(x) and shifting it vertically upward by 2 units. This transformation matches the graph of f(x) = √x.
Option D, g(x) = f(-x + 2)
This equation represents reflecting the graph of f(x) across the y-axis (due to the negative sign in front of x) and shifting it horizontally right by 2 units. This transformation does not match the graph of f(x) = √x.
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The quadrilateral is a parallelogram. Find the measure of angles 1, 2, and 3.
80⁰
Angle 1 measures_____
degrees, angle 2 measures_____
degrees, and angle 3 measures_____
degrees._____
Answer: Angle 1=100
Angle 2=80
Angle 3=100
Step-by-step explanation:
Angle 1=Angle 3 ==> opposite angles in quadrilaterals are equal
Angle 2=80 ==> opposite angles in quadrilaterals are equal
Angle 1+Angle 2+Angle 3+80=360 ==> quadrilaterals with 4 sides add up to 360 degrees.
Angle 1+Angle 2+Angle 3+80-80=360-80
Angle 1+Angle 2+Angle 3=280
Angle 1+80+Angle 3=280
Angle 1+80-80+Angle 3=280-80
Angle 1+Angle 3=200
Angle 1+Angle 1=200 ==> Angle 1=Angle 3
Angle 1 * 2=200
Angle 1=100
Angle 3=100