Answers
Answer:
Step-by-step explanation:
Divide the numbers and write what you got in distributive property
Related Questions
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Answers
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
According to the problem, we know that:
3(4 + x) < 7x
Simplifying:
12 + 3x < 7x
Subtracting 3x from both sides:
12 < 4x
Dividing both sides by 4:
3 < x
So the number we're looking for must be greater than 3.
What is 224.83 subtracted from -180.23 then divided by .08
Answers
Step-by-step explanation:
-180.23-224.83
= -405.06
-405.6/.08
Write the quadratic function in the form f (x)= a (x - h)' + k.
f (x) = 3x² - 6x+6
Answers
Answer:
\(f(x) = 3(x - 1)^2-3\)
Step-by-step explanation:
Given
\(f(x) = 3x^2 - 6x + 6\)
Required
Write as:
\(f(x) = a(x - h)^2 + k\)
In \(f(x) = 3x^2 - 6x + 6\), the coefficient of x is -6
Divide by 2: -3
Square: 9
Add 9 - 9 to the above equation
\(f(x) = 3x^2 - 6x +9-9+ 6\)
Split to 2
\(f(x) = [3x^2 - 6x +9]-[9- 6]\)
\(f(x) = [3x^2 - 6x +9]-[3]\)
Factorize:
\(f(x) = [3x^2 - 3x -3x+9]-[3]\)
\(f(x) = [3x(x - 1) -3(x-1)]-[3]\)
\(f(x) = [(3x - 3)(x-1)]-[3]\)
Factorize 3x - 3
\(f(x) = [3(x - 1)(x-1)]-[3]\)
\(f(x) = 3(x - 1)^2-[3]\)
\(f(x) = 3(x - 1)^2-3\)
find the area of a semi-circle of with a radius of 4.1mm. round to the nearest tenth
Answers
Answer:
26.4 mm²
Explanation:
The area of a semi-circle can be calculated as:
\(A=\frac{\pi\cdot r^2}{2}\)Where π is approximately 3.14 and r is the radius of the circle.
So, replacing r by 4.1 mm, we get:
\(\begin{gathered} A=\frac{3.14\cdot(4.1mm)^2}{2} \\ A=\frac{3.14\cdot16.81mm^2}{2} \\ A=\frac{52.7834}{2}mm^2 \\ A=26.4mm^2 \end{gathered}\)Therefore, the answer is 26.4 mm²
PLEASE HELP ME OMG!!!
Nicholas bought a new computer for $1,250. The value of the computer decreases by 17 percent every year. Approximately how much is the computer worth after 5 years?
Answers
Answer:
187.5
Step-by-step explanation:
17 × 5 = 85
100 - 85 = 15% = 0.15
1250 × 0.15 = 157.5
Answer:
$492.38
Step-by-step explanation:
i
Find the total service area of a right circular cylinder whose radius is 10 cm and whose height is 7 cm.
Answers
Given:
Radius of cylinder is, r = 10 cm.
Height of the cylinder is, h = 7 cm.
The objective is to find the total surface area of the right circular cylinder.
The formula to find the total surface area is,
\(\text{TSA}=2\pi r(h+r)\)Now, substitute the given values in the above equation.
\(\begin{gathered} \text{TSA}=2\pi10(7+10) \\ =20\pi(17) \\ =340\pi \\ =1068.14cm^2 \end{gathered}\)Hence, the total surface area of the cylinder is 1068.14 sq. cm.
PLSSS HELP I LITERALLY HAVE NO CLUE WHAT IM DOING
Answers
1st row
1. 2x + x + x, x = 0
Plug in 0 as x.
0 + 0 + 0 = 0
2. 2x + x + x, x = 1
Plug in 1 as x.
2 + 1 + 1 = 4
3. 2x + x + x, x = 2
Plug in 2 as x.
4 + 2 + 2 = 8
2nd row
1. 4x, x = 0
Plug in 0 as x.
4 * 0 = 0
2. 4x, x = 1
Plug in 1 as x.
4 * 1 = 4
3. 4x, x = 2
4 * 2 = 8
Notice how the answers are the same.
This is because 2x + x + x = 4x, meaning they are the same equation.
Answer:
Attached in file
Step-by-step explanation:
What does this mean by substitution?
The act of substituting in algebra / pre-algebra / etc is plugging in a number for 'x'
In this question, they are wanting you to plug in 0, 1, and 2 to two different equations (2x+x+x and 4x) to see if they are the same equations.
(I'm going to try and make a graph, as visual learning helps)
| 2x+x+x 4x
x=0| a b
x=1 | c d
x=2| e f
Now I know that this is not perfect, but I inputted letters so that you know what I am solving for.
Solve for a:
Plug in x=0
2(0) + 0 + 0
2*0 = 0
0 + 0 + 0 = 0
So, a = 0 (What I am saying is the first blank is a, the blank next to it is b, etc)
Solve for b:
Plug in x=0
4(0) = 0
So, b = 0
Solve for c:
Plug in x=1
2(1) + 1 + 1
2 + 1 + 1
= 2 + 2
=4
b = 4
Solve for d:
Plug in x=1
4(1) = 4
d=4
Solve for e:
Plug in x=2
2(2) + 2 + 2
4 + 2 + 2
4 + 4
=8
e=8
Solve for f:
Plug in x=2
4(2)
f=8
There we go! I annotated this picture to have these values plugged into their respective spots!!
Hope this helped!!
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
Answers
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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What base could be written in the blank to make the exponential function model 15% decay? y=(_)t1/2
Answers
The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)
To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.
The general formula for exponential decay is given by:
y = A(1 - r)^t
Where:
y represents the final amount or value after time t.
A is the initial amount or value.
r is the decay rate (expressed as a decimal).
t is the time.
In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:
y = A(1 - 0.15)^t
Simplifying further:
y = A(0.85)^t
Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.
Therefore, the exponential function that models a 15% decay is:
y = (0.85)^t^(1/2)
This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.
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HEEEEEEELLLLLPPPPP!!!!!!!!!!!!!!!!!!
Answers
6-1 5
—— = —
14-15 -1
I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!
Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? Explain why or why not.
Answers
Answer:
No
Step-by-step explanation:
To calculate how much fence is needed we need to calculate the perimeter NOT area.
P = 2L+2W
P =2(6.75)+2(4 2/3)
P = 13.5 + 9 1/3
P = 22 5/6
Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please
Answer:
No
Step-by-step explanation:
the perimeter is 22.7 she is approximately .7 off
what is 1 17/8 + 1 1/4 =
Answers
Answer:
39/8
Step-by-step explanation:
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test. Assume that the researcher’s claim is true. Suppose a driving test is given to a random sample of 90 high school seniors and a separate random sample of 85 high school freshmen. Let and be the sample proportions of seniors and freshmen, respectively, who pass the test. What are the shape and mean of the sampling distribution of ? skewed left with mean –0.35 skewed right with mean 0.625 exactly Normal with mean 0.35 approximately Normal with mean 0.35 approximately Normal with mean 0.625
Answers
Answer:
approximately Normal with mean 0.35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.
This means that \(p_1 = 0.8, p_2 = 0.45\)
Subtraction of Variable 1 by Variable 2:
By the Central Limit Theorem, the shape will be approximately normal.
The mean is the subtraction of the means of each proportion. So
\(p = p_1 - p_2 = 0.8 - 0.45 = 0.35\)
So the correct answer is given by:
approximately Normal with mean 0.35
Find the area of a trapezium whose parallel sides are 34 cm and 40cm and the distance between them is 20 cm
Answers
Answer:
area of trapezium: 740 cm²
Step-by-step explanation:
\(\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }\)
Given here:
base 1: 34 cmbase 2: 40 cmheight: 20 cmusing the formula:
\(\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }\)
solve:
\(\sf {\frac{1}{2}* (34 \ + 40) \ * 20}\)
\(\sf {\frac{1}{2}* (74) \ * 20}\)
\(\sf 74 * 10\)
\(\sf 740\)
Mr. Krueger wanted a square platform built in the drama room at
school. He provided the carpenter with the desired area of the platform
to be built. Which function can he use to determine the side length of
the square platform?
Answers
Answer:
Building a square platform for Mr. Krueger in the drama room at school:
The carpenter can use the Square Root Function to determine the side length of the square platform.
Step-by-step explanation:
The square root of the desired area of the platform, which had been provided to the carpenter will give the side length of the square platform because area of a square is equal to side length squared (L²). If the area is ascertained, to determine the length will be to get the square root of the area.
Give an exact answer based on the empirical rule for the question given below.
The price paid for a particular model of HD television is approximately a normal distribution. The mean price paid is $1400 and the standard deviation is $135.
What is the approximate percentage of buyers who paid above $1,535?
Answers
Answer:
6767
Step-by-step explanation:
√(x2−2x−2)+√(2x−3)=5
Answers
\(\\ \sf\longmapsto \sqrt{(x^2-2x-2)}+\sqrt{2x-3}=5\)
We know
if x=√a+√b then
x^2=a+b+2√ab\(\\ \sf\longmapsto x^2-2x-2+2x-3+2\sqrt{(x^2-2x-2)(2x-3)}=5^2\)
\(\\ \sf\longmapsto x^2-3+2\sqrt{2x^3-4x^2-4x-3x^2+6x+6}=25\)
\(\\ \sf\longmapsto 2\sqrt{2x^3-7x^2+2x+6}=25-x^2+3=28-x^2\)
\(\\ \sf\longmapsto \sqrt{2x^3-7x^2+2x+6}=\dfrac{28-x^2}{2}\)
\(\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{(28-x^2)^2}{4}\)
\(\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{784-56x^2+x^4}{4}\)
\(\\ \sf\longmapsto 8x^3-28x^2+8x+24=784-56x^2+x^4\)
\(\\ \sf\longmapsto x^4-8x^3-28x^2-8x+760=0\)
Solving furtherThe equation has no real solutions .(attached a pic of calculator )
Answer:
\({ \rm{ \sqrt{( {x}^{2} - 2x - 2) } + \sqrt{(2x - 3)} = 5 }}\)
• let's first collect like terms
\({ \rm{ \sqrt{( {x}^{2} - 2x - 2)} = 5 - \sqrt{(2x - 3)} }}\)
• Then, let's take a square:
\({ \rm{ {( \sqrt{( {x}^{2} - 2x - 2)}) }^{2} = {(5 - \sqrt{(2x - 3)} )}^{2} }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = (5 - {(2x - 3)}^{ \frac{1}{2} } )(5 - {(2x - 3)}^{ \frac{1}{2} }) }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = 25 - 10 \sqrt{2x - 3} - 2x - 3 }} \\ \\ { \rm{ {x}^{2} - 2x + 2x - 2 - 22 + 10 \sqrt{2x - 3} = 0}} \\ \\ { \rm{ {x}^{2} + 10 \sqrt{2x - 3} - 22 = 0}} \\ \\ { \rm{the \: roots \: of \: the \: equation \: are \: not \: real}}\)
Answer: x = 3(-1 + i) or 3(-1 - i)
It costs $350 to spend 4 nights at the Econo Motel. It costs $475 to spend 6 nights at the Bluebird Inn. Which of these statements is true?
Answers
Answer: A
Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.
Find the sample size needed so that a 99.5% confidence interval will have margin of error of 1.5.
Answers
Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.
To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:
n = (Z * σ / E)^2
where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.
For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.
n = (2.807 * σ / 1.5)^2
Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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9) A rectangular prism has a width of 8 cm, a height of 2 cm and a depth of 8 cm. What is the volume of the prism?
Pls help!!!!!! It’s a grade!
Answers
Answer:
It should be 128 cm
Step-by-step explanation:
8 multiply 8 multiply 2 which is equal 128
128 is the final answer i hope it helps
Goodluck
If it’s no solution or infinite tell me pls
Answers
Answer: infinite solution
Step-by-step explanation:
-2 (n - 12) + 1 = -2n + 5
(remove the parentheses by distributing -2 throughout parentheses)
-2n + 24 + 1 = -2n + 25
(cancel equal terms on both sides of the equation)
24 + 1 = 25
(add the numbers)
25 = 25
(the statement is true, so the answer is infinite solution)
A committee of ten health professionals has been selected to investigate the ethical conduct of some health workers in a health facility.A sub committees of four health professionals is to be selected out of the ten health professionals . Find how many ways this can happen
Answers
Answer:
Step-by-step explanation:
The mean annual salary at the company where Samuel works is $37,000, with standard deviation $4,000. Samuel's salary is $32,500. Based on the mean and standard deviation, is Samuel's salary abnormal compared to other salaries at this company? When choosing your answer, be careful to select the answer with the correct explanation. A. Samuel's salary falls within the standard deviation, so his salary is not abnormal compared to other salaries at this company. B. Samuel's salary falls outside the standard deviation, so his salary is abnormal compared to other salaries at this company. C. Samuel's salary falls within the standard deviation, so his salary is abnormal compared to other salaries at this company. D. Samuel's salary falls outside the standard deviation, so his salary is not abnormal compared to other salaries at this company?
Answers
Answer : Samuel salary falls within the standard deviation and his salary is not abnormal
The mean annual salary at the company where samuel works is $37, 000
The standard deviation is given as $4, 000
Samule's annual salary is $32, 500
Using the Z- score formula
\(\begin{gathered} z\text{ = }\frac{x\text{ - }\mu}{\sigma} \\ \text{Where x = sample score} \\ \mu\text{ = mean} \\ \sigma\text{ = standard deviation} \end{gathered}\)\(\begin{gathered} x\text{ = \$32, 500} \\ \mu\text{ = \$37, 000} \\ \sigma=\text{ \$ 4000} \\ z\text{ = }\frac{32,\text{ 500 - 37000}}{4000} \\ z\text{ = }\frac{-4500}{4000} \\ z\text{ = -1.125} \end{gathered}\)Since, the value of Z- score is -1. 125, then, the salary is 1 standard deviation below the mean.
Therefore, Samuel salary falls within the standard deviation and his salary is not abnormal
Length is 3x − 4, area is 6x4 − 8x3 + 9x2 − 3x − 12
Answers
The width of the given rectangle is 2x²-3x+3.
Given that, area of rectangle = \(6x^4-8x^3+9x^2-3x-12\) and the length of rectangle = 3x-4.
What is the area of a rectangle?The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units. The formula to find the area of a rectangle = Length × Width.
Now, (3x-4) × width = \(6x^4-8x^3+9x^2-3x-12\)
⇒ Width = \(\frac{6x^4-8x^3+9x^2-3x-12}{3x-4}\)
3x-4|\(6x^4-8x^3+9x^2-3x-12\)|2x³-3x+3
\(6x^4\) - 8x³
_________________
0+9x²-3x-12
(-) 9x²+12x
_________________
0+9x-12
(-) 9x(+)12
_________________
0
So, width = 2x²-3x+3
Therefore, the width of the given rectangle is 2x²-3x+3.
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A car’s gas tank will hold 24 gallons when full. The car’s tank is presently 1/3 full. How much more gas will it take to fill the tank?
Answers
The additional gas it will take to fill the tank is 16 gallons
How much more gas will it take to fill the tank?From the question, we have the following parameters that can be used in our computation:
Capacity = 24 gallons
Current volume = 1/3 full
This means that
Remaning volume = 1 - 1/3
Evaluate
Remaning volume = 2/3
The additional gas it will take to fill the tank is
Additional = 2/3 * 24
Evaluate
Additional = 16
Hence, the additional gas it will take to fill the tank is 16 gallons
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Vince went on a 3 day hiking trip, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in the trip. How far did Vince walked on the 1st day of the trip ?
Answers
Answer:
Vince walked 36 km on the 1st day of the trip.
Step-by-step explanation:
Vince went on a 3-day hike trip.It is stated that Vince walks 3/4 of the distance that he walks the day before.His total traveled distance = 83.25Let 'x' be the distance traveled on the first day.As he walks 3/4 of the distance that he walks the day before.
so the second-day traveling distance = 3/4xAnd the third-day traveling distance = 3/4 × 3/4x= 9/16x
Given his total traveled distance = 83.25
Therefore, the equation becomes
\(x\:+\:\frac{3}{4}x\:+\:\frac{9}{16}x\:\:=\:83.25\)
Multiply both sides the 16 (L.C.M)
\(x\cdot \:16+\frac{3}{4}x\cdot \:16+\frac{9}{16}x\cdot \:16=83.25\cdot \:16\)
simplify
\(16x+12x+9x=1332\)
\(37x=1332\)
Divide both sides by 37
\(\frac{37x}{37}=\frac{1332}{37}\)
\(x=36\) km
Therefore, Vince walked 36 km on the 1st day of the trip.
Answer:
36
Step-by-step explanation:
Please helppp why is he right or wrong!!
Answers
Answer:
We cannot agree with Andre because x = 3.
Step-by-step explanation:
Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:
x + 2 = 5
Solve for x
x + 2 - 2 = 5 - 2 (subtraction property of equality)
x = 3
If you plug in the value of x on the diagram given, the scale becomes balance on each side.
Therefore, x = 3. Andre is wrong and we cannot agree with Andre.
100 POINTS URGENT!
Simplify the expression.
fraction with negative 7 times the quantity 2 minus the cube root of 64 times 3 end quantity as the numerator and 5 as the denominator
Group of answer choices
−14
negative twelve sevenths
twelve sevenths
14
Answers
Answer:
the simplified expression is negative twelve sevenths
Step-by-step explanation:
To simplify the expression, we can start by applying the rules for combining like terms:
(-7) * 2 - (3 * sqrt(64)) = (-14) - (3 * sqrt(64))
Next, we can use the fact that the square root of 64 is 8 to simplify the expression further:
(-14) - (3 * sqrt(64)) = (-14) - (3 * 8) = (-14) - 24 = -38
Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common factor:
-38 / 5 = (-38 / 2) / (5 / 2) = -19 / 2 = negative twelve sevenths
Therefore, the simplified expression is negative twelve sevenths.
Answer:
the simplified expression is negative twelve sevenths
Step-by-step explanation:
A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 4 men and 7 women be chosen
Answers
Answer:
23100 ways
Step-by-step explanation:
We have 8 men and 11 women
Number of ways of choosing a subcommittee of 4 men and 7 women
8C4 x 11C7
8!/(8-4)!4! x 11!/(11-7)!7!
= 8!/4!4! x 11!/4!7!
= (40320/24*24) x (39916800/24x5040)
= (40320/576) x (39916800/120960)
=70 x 330
= 23100 ways
We can select a subcommittee of 4 men and 7 women in 23100 ways.
Find the volume of a right circular cone that has a height of 4.2m and a base with a radius of 3.4m
Answers
Answer:
about 50.8 cubic meters
Step-by-step explanation:
The formula for the volume of a cone is ...
V = (1/3)πr²h
Put the given values into the formula and do the arithmetic.
V = (1/3)π(3.4 m)²(4.2 m) = 16.194π m³
__
For π to calculator precision, this is ...
V ≈ 50.84 m³
For π = 3.14, this is ...
V ≈ 50.82 m³