Answer:
x = 9 ; 39 in. ; 156 in.
Step-by-step explanation:
Because it is a square, we know that all 4 sides are equal to each other.
This means we can take the two expressions and equal them to each other.
4x + 3 = 3(2x - 5)
4x + 3 = 6x - 15
-2x + 3 = -15
-2x = -18
x = 9
Now that we know the value of x, we can substitute it in to find the side length.
4(9) + 3
36 + 3
39 in.
Therefore, each side of the square is 39 in.
Finally, since we know all the side lengths are 39, we can find the perimeter by adding up all 4 side lengths.
p = 4(39) = 156 in.
Therefore, the perimeter of the square is 156 in.
Simplify: x
\(x { }^{2} - 3x + 2 \ \div x {}^{2} - 4\)
x² - 4
4
Answer:
\(\frac{x-1}{x+2}\)
Step-by-step explanation:
simplifying the equation: \(x^2-3x+2/x^2-1\)
1) Rewrite the equation so it's easier to understand:
\(\frac{x^2-3x+2}{x^2-4}\)
2) factor \(x^2-3x+2\):
\(x^2-3x+2\) \(=> (x-1)(x-2)\)
3) factor \(x^2-4\):
\(x^2-4 => (x+2)(x-2)\)
Meaning: \(\frac{(x-1)(x-2)}{(x+2)(x-2)}\)
4) Cancel the common factor: \((x-2)\) from the numerator and the denominator:
\(=\frac{x-1}{x+2}\)
-5x+4y=3
x=2y-15 please help me
Complete the synthetic division problem below.
What is the quotient in polynomial form?
Answer:
D
Step-by-step explanation:
2 | 1 5 - 14
2 14
-----------------------
1 7 0 ← remainder = 0
Quotient is 1x + 7 = x + 7 → D
Suppose you are charged a $10 per month base charge for your electrical service. You are also charged an additional $0.08 for every kwh of electricity you use. The cost is an example of a mixed cost. variable cost. fixed cost. step cost.
The cost described in the scenario is an example of a mixed cost.
A mixed cost consists of both fixed and variable components. In this case, the $10 per month base charge represents the fixed component of the cost. This charge remains constant regardless of the amount of electricity consumed. It covers the basic service and is not influenced by usage levels.
On the other hand, the additional charge of $0.08 per kilowatt-hour (kWh) of electricity used represents the variable component. This charge varies directly with the amount of electricity consumed. As more electricity is used, the variable cost increases proportionally.
By combining the fixed base charge and the variable charge per kWh, we get a mixed cost structure. The fixed component ensures a minimum cost for the service, while the variable component adds to the total cost based on actual usage. This combination of fixed and variable elements makes the cost a mixed cost.
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Andrea is three times Nick's age. In 10 years, Andrea will be twelve years older than Nick.
What are their ages now?
Answer:
Nick is 6
Andrea is 18
Step-by-step explanation:
Sounds like a system of equations
Letting...
a = Andrea
n = Nick
Since she's 3 times the age, the first equation will be
a = 3n
Since in 10 years, Andrea will be 12 years older than Nick, we can write
a = n + 12
Since we have two a = ,we can set them equal to each other
3n = n + 12
Subtracting n
3n - n = 12
Now combining the n's (n is the same as 1n)
2n = 12
And last but not least, we can divide by 2
n = 6... so Nick is 6 right now.
Going back to our first equation of a = 3n, if we plug 6 in
a = 6(3) = 18.
Making Andrea 18 right now
If the probability is 50% what is the probability of getting 2 goals out of 5?
please help!
Using the binomial distribution, it is found that there is a 0.3125 = 31.25% probability of getting 2 goals out of 5.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are given as follows:
n = 5, x = 2, p = 0.5.
Hence the probability is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125\)
0.3125 = 31.25% probability of getting 2 goals out of 5.
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please answers this
Answer:
shusidvxxosbsbzbz
Step-by-step explanation:
usjzkdofjfbf
Answer:
50 degree for X look at pic attached
Find the volume of this composite shape
Show working out
Answer:
224 cm³
Step-by-step explanation:
in the picture
according to the text, 69 percent of all 6- to 11-year-olds in the united states: please choose the correct answer from the following choices, and then select the submit answer button. answer choices are harmonious and stable. are chronically poor. live with one parent. live with two parents.
Two parents are present in 69% of all families with children ages six to eleven. Option d is correct.
Option d is the correct choice, which states that 69 percent of all families with children aged six to 11 have two parents. This information is supported by various studies and statistics, which have consistently shown that the majority of families in the United States consist of two-parent households. While single-parent families do exist, they are less common than families with two parents.
This information is important in understanding the dynamics and structure of families in the US, as well as in developing policies and programs that support and strengthen families.
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--The complete question is, According to your text, 69 percent of all families with children aged six to 11:
a) are harmonious and stable.
b) have one parent.
c) are chronically poor.
d) have two parents.
Link to the text is, open.maricopa.edu/devpsych/chapter/chapter-9-early-adulthood/--
Select the reason why these triangles are
similar. If they are not, select "Not similar."
8
12
5
6.25
10
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
The answer is D
Step-by-step explanation:
There are 3 feet in a yard. how many yards, as a mixed number, will you drive until you reach this exit? please help!
The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards
How to determine the number of yards to drive?The complete question is added as an attachment
From the attached figure, we have:
Exit = 1000 feet
From the question, we have
3 feet = 1 yard
So, the number of yards is
Number of yard =Exit/3 yards
This gives
Number of yard = 1000/3 yards
Evaluate the quotient
Number of yard = 333 1/3 yards
Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards
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Evaluate the following expression.
(2+6×2+2−4)×2
Answer:
24
Step-by-step explanation:
PEMDAS.
John wrote the equation tim.0 to represent there in decrees er a substance had been tested for minutes Describes be temperature of the substance and the been heated A The temperature initially de trees Cels B. The temperature increased by dores every 0. Based on John's equation, how many minutes does the substances to be heated to reach a temperature of 100 decrees Celtus?
Answer:
ur english is so bad i can barely discern what ur trying to say and the correct answer is 5
Step-by-step explanation:
A line intersects the x-axis at (-1, 0) and is perpendicular to the line whose equation is y= -1/5x + 9. What is the equation of the line?
The equation of the line is y= 5x + 5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
A line intersects the x-axis at (-1, 0).
and, given line is y= -1/5x + 9.
as, the slope of given line is -1/5.
Now, the slope of perpendicular is negative reciprocal.
so, the slope of perpendicular line is 5.
Thus, the equation of line passes thorough (-1, 0).
y = 5x + b
and, 0- -5 + b
b=5
So, the equation of line is
y= 5x + 5.
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Your comment will be deleted along with your account BlueDragon123r5 You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.
Answer
I know how to solve it just don't know how to explain how you came up with the equation
Step-by-step explanation:
To solve 9y+7=2y+98 you add 9y+2y and you get 11y and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11 y= 9.54
Write an equation of the line that passes through the given point and is parallel to the given line.
(-2,3); y = -x + 2
A. y = -x + 1
B. y = x + 2
C. y = -x + 5
D. y = x + 1
Answer:
A
Step-by-step explanation:
Can someone please exlpain how to do this???
Answer:
40. A c=60
41 B z= 40
Step-by-step explanation:
The sum of the angles in a triangle is 180
40. 61+59+c = 180
Combine like terms
120+c = 180
c = 180-120
c =60
41. 90+50+z = 180
140 +z = 180
z = 180-140
z = 40
I need help answer quickly please this is timed! What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot)
Answer:
3x√5 + 6√10x + 5√3x + 10√6
Step-by-step explanation:
(√3x + √5)(√15x + 2√30)
The above expression can be evaluated as follow:
(√3x + √5)(√15x + 2√30)
Expand
√3x (√15x + 2√30) + √5(√15x + 2√30)
x√45 + 2√90x + √75x + 2√150
Express in the best possible surd form.
x•3√5 + 2•3√10x + 5√3x + 2•5√6
3x√5 + 6√10x + 5√3x + 10√6
We can not simplify further.
Therefore,
(√3x + √5)(√15x + 2√30) =
3x√5 + 6√10x + 5√3x + 10√6
In the 7th grade, 14 out of 56 students got an A. What percent of students got an A?
Plz help
Answer:
25% got an A
Step-by-step explanation:
(14/56) x 100 = 25
Answer:
25% got an A
Step-by-step explanation:
25% got an A!.:)
HELP!!!!!!!!
Find the surface area to the nearest whole number.
The surface area of the given figure is 740 m².
The surface area of the given figure is calculated in parts,
Surface area is the measure of the total area that the surface of an object or a solid shape occupies. It is the sum of the areas of all the faces or surfaces of the object. Surface area is usually measured in square units, such as square inches or square meters.
Calculate the surface area of rectangular faces,
Area = 4 ( length x width )
Area = 4 ( 10 x 11 )
Area = 440 m²
Calculate the area of the base,
Area = 10 x 10
Area = 100 m²
Calculate the surface area of a triangle,
Area = 4 x (1/2 ) ( 10 x 10 )
Area = 200 m²
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Name the corresponding parts, given A ALX= AGIW. A W 4 cm 92°) 55 1. LX 2. ZIE 4. ZIT = 6. ALAX= Problem
,Solution
From the Two similar triangles given we can say that.
Step 1
< i = < L
The solution to the question can then be
\(\begin{gathered} 1)LX\text{ }\equiv\text{ WL} \\ 2)5) To find m < I this means we are to find the value of the angle it but from the given informationwe know that LX = WL.
Note: I will be drawing for better understanding.
From the diagram, we have
92 + 55 + i
Given the data cleanup problem of removing 0 values from a data set, the ____ algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
According to the statement
We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.
and we have to explain about that algorithm.
So,
Here we given that the algorithm copies and paste the values in the new files then
the algorithm is called the copy over algorithm.
So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.
So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.
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a 4 foot man cast a 6 foot shadow how tall is a tree that cast a 21 foot shadow
Answer:
Step-by-step explanation:
Maybe 8 feet
Answer:
19
Step-by-step explanation:
4 and 6 has a two- foot difference so if the tree is 21 you do 21-2=19
Factor completely
6х2 - 23х + 20
Answer:
The answer is (2x-5) (3x-4).
Mr. Adams invested $5000 at the credit union and received $5810. Inclusive of simple interest, after 3 years
a) The simple interest earned is $810. b) The annual interest rate paid by the credit union is 5.4%. c) It will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.
a) To find the simple interest earned, we can use the formula:
Simple interest = Principal x Interest rate x Time
Where the principal is $5,000, the time is 3 years, and the total amount received at the end of 3 years is $5,810. We can rearrange the formula to solve for the interest rate:
Simple interest = $5,810 - $5,000 = $810
Interest rate = Simple interest / (Principal x Time)
Interest rate = $810 / ($5,000 x 3)
Interest rate = 0.054 or 5.4%
b) The annual interest rate paid by the credit union is 5.4%.
c) To find the length of time it will take for Mr. Adams' investment to be doubled at the same rate of interest, we can use the formula:
Doubling time = ln(2) / ln(1 + r)
Where r is the interest rate as a decimal. Plugging in the values:
Doubling time = ln(2) / ln(1 + 0.054)
Doubling time ≈ 12.81 years
Therefore, it will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.
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Complete question:
Mr. Adams invested $5,000 at the credit union and received $5,810, inclusive of simple interest, after 3 years. Determine:
a) The simple interest earned
b) The annual interest rate paid by the credit union
c) The length of time it will take for Mr. Adams' investment to be doubled, at the
same rate of interest.
The HCF of 56, x and 154 is 14 and their LCM is 4312. Find the smallest possible integer x
Answer:
Smallest possible x = 98.
Step-by-step explanation:
4312 = 2 * 2 * 2 * 7 * 7 * 11
56 = 2 *2 * 2 * 7
154 = 2 * 7 * 11
Because the HCF is 14:-
x = = 2 * 7 OR 2 * 7 * other prime number(s).
As there are 2 7's in the prime factors of 4312 there must also be another 7 in the prime factors of x.
x = 2 * 7 * 7 = 98.
3(x-4) =12x
solve the equation and explain your reasoning.
Answer:
-4/3 or -1 1/3
Step-by-step explanation:
First you use distibutive property on the left side then you want to devide and multiple until x is by itself.
Answer:
3x-12 = 12x
3x = 12x +12
-9x = 12
(divide by -9)
= 4/-3
on day three, the teacher moves to a more abstract approach to adding two-digit numbers. what would be the next step for the teacher in this lesson series?
After the teacher moves to a more abstract approach to adding two-digit numbers on day three, the next step in the lesson series could be to introduce regrouping or carrying over when adding two-digit numbers. This would involve teaching students how to add the tens and ones separately and then combining them to get the final answer. The teacher could also provide practice problems and hands-on activities to reinforce this concept.
1. Review the concrete methods previously taught for adding two-digit numbers, such as using base-ten blocks or place value charts.
2. Introduce the abstract method of adding two-digit numbers by stacking the numbers vertically, aligning the ones and tens place, and adding the digits column by column.
3. Demonstrate the process with an example, emphasizing the importance of carrying over when the sum in a column exceeds 9.
4. Provide students with additional practice problems to reinforce the abstract method and check their understanding.
5. Gradually increase the complexity of the problems as students become more comfortable with the abstract approach.
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WILL GIVE BRAINLIEST‼️
PLEASE SHOW WORK:)
Answer:
(6x + 5)(x + 2)
Step-by-step explanation:
x coefficients must multiply to 6
so 6 * 1 or 2*3
10 must be 5*2 or 1* 10
(6x + 5)(x + 2) = (6x² + 12x + 5x + 10) = 6x² + 17x + 10
A circular plate has a diameter of 18 inches. What is the area of the plate? *
A) 81 square inches
B) 81 square inches
C) 18 square inches
D) 9 square inches
Answer:
254 inches squared
Step-by-step explanation:
Hi there!
\(A=\pi r^2\) where r is the radius of the circle
The radius is equal to half the diameter. Given that the diameter is 18 inches, we know that the radius of the circular plate is 9 inches. Plug this into the equation:
\(A=\pi (9)^2\\A=81\pi \\A=254\)
Therefore, the area of the plate is approximately 254 inches squared.
If this is not an answer choice, the question may have been asking for the radius of the circle rather than the area.
I hope this helps!