Answer:
x=\(\frac{10}{14}\)
Step-by-step explanation:
y=7x-2
2(7x-2)-4x=10
14x-4-4x=10
14x-4x=10-4
10x=14
x=\(\frac{10}{14}\)
What is the meaning of 2²?
The meaning of the term 2² is number 2 is squared:
2*2 = 4.
Define square of the number?Square numbers are the result of multiplying any integer by themselves in mathematics.The result of multiplying an integer by itself is referred to as a square number. If "n" is an integer, then its square number is (n n), or "n2.". 81 is a square number, for instance, in the equation 9* 9 = 81.Examples:
1 * 1 = 1.
One is a square number therefore.
2 * 2 = 4.
Four is the following square number, so. You can probably guess how to determine the following square number.
Let's multiply 3 by itself:.
3 * 3 = 9.
and so on.
Thus, for the stated question:
The number 2 is squared.
= 2*2 = 4.
Therefore, the result of the expression comes as 4.
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Please I need an answer ASAP!!!!!!!!!!
Answer:
176
Step-by-step explanation: Teachers correction 119 minus 57
The freshwater leech is an organism that feeds off of the blood of other organisms such as frogs and turtles. Which interaction describes the relationship between freshwater leeches and frogs or turtles
Eli is a loan officer. he determines his clients’ eligibility for loans and for good interest rates by using their credit scores. the scores of several clients are shown in the following table. name experian equifax transunion roy 750 792 661 dirk 771 707 755 haley 643 642 770 valerie 646 773 762 help eli evaluate his applicants based on their mean and median credit scores. a. valerie has the highest mean score, but roy has the highest median score. b. dirk has the highest mean score and the highest median score. c. roy has the highest mean score, but valerie has the highest median score. d. dirk has the highest mean score, but valerie has the highest median score.
Eli is a loan officer. he determines his clients’ eligibility for loans and for good interest rates by using their credit scores, the evaluation of his applicants based on their mean and median credit scores will give Dirk the highest mean score, but Valerie has the highest median score.
How do you calculate the mean score?Generally, The mean is computed by summing all of the scores and then dividing by the number of scores contributed.
In conclusion, with the given data Roy 750 792 661 Dirk 771 707 755 Haley 643 642 770 Valerie 646 773 762, Dirk has the highest mean score, but Valerie has the highest median score.
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Is (1, 4) a solution to this system of equations? 8x + 3y = 20 x + 4y = 17
Answer:
Yes.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Systems of EquationsStep-by-step explanation:
Step 1: Define
Identify
8x + 3y = 20
x + 4y = 17
(1, 4)
Step 2: Check
Plug and verify the coordinates is a solution.
Substitute in point [1st Equation]: 8(1) + 3(4) = 20Multiply: 8 + 12 = 20Add: 20 = 20 \(\checkmark\)Substitute in point [2nd Equation]: 1 + 4(4) = 17Multiply: 1 + 16 = 17Add: 17 = 17 \(\checkmark\)∴ Since both equations work out, (1, 4) is a solution to the systems of equations.
At a sale, suits were sold for $116 each. This price was 58% of a suit's original price. How much did a suit originally cost?
Answer:
The suit originally cost $200.
Step-by-step explanation:
In order to calculate the original price of the suit, you can use a rule of three considering that $116 represents 58% of the original price:
116 → 58%
x ← 100%
x=(116*100)/58
x=200
According to this, the answer is that the suit originally cost $200.
60 Points for a rapid reply -calculate the measure of the central angle in the regular dodecagon {12 sides}
Answer:
Maybe 30°
Cause 12:4 is 3
3x10 30
The central angle of a regular dodecagon is 30 degrees. Option A is the correct option.
The central angle - The angle created at the polygon's center by two adjacent radii—the lines that connect the polygon's center to its vertices—is known as the central angle.
We know it is a regular dodecagon, which means all the sides will be of equal size.
As it is a dodecagon there will be a total of 12 equal central angles added to give an angle of 360 degrees.
Let's assume the central angle is x.
12x = 360
x = 360/12
x = 30
Hence, the central angle in a regular dodecagon is 30 degrees.
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A counterexample for the expression sin(y)*tan(y)= cos(y) is 0 degrees
Actually, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y).
To see why, let's substitute y = 0 degrees into the expression:
sin(y)*tan(y) = cos(y)
sin(0)*tan(0) = cos(0)
0*tan(0) = 1
0 = 1
As we can see, the equation does not hold for y = 0 degrees. However, this does not make 0 degrees a counterexample, because 0 degrees is not in the domain of the tangent function.
The tangent function is undefined at odd multiples of 90 degrees (e.g. 90, 270, etc.), because at those angles the denominator of the tangent function becomes zero. Therefore, we cannot substitute y = 0 degrees into the expression sin(y)*tan(y) = cos(y), because it would result in division by zero.
In summary, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y), because it is not in the domain of the tangent function.
cindy bought 7 dresses for $28 each and 2 pairs of shoes for $28 each. she used this expression to calculate the total amount she spent.(7x28) (2x28)what is another expression to calculate the total amount spent?
Another expression to calculate the total amount spent would be (7+2) x 28.
This expression uses the distributive property, which states that when multiplying a number by a sum, the number can be multiplied by each addend separately and then the results can be added together.
In this case, we are multiplying 28 (the cost of the dresses and shoes) by the sum of 7 (the number of dresses bought) and 2 (the number of shoes bought). This would be the same as (7x28) + (2x28), which is the same as (7x28) (2x28). Therefore, the total amount Cindy spent is (7+2) x 28, which is equal to $392.
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A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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he measure of ∠DBE is (0.3x−22)° and the measure of ∠CBE is (0.1x - 51)
Answer:
x = 415
Step-by-step explanation:
(0.3x - 25) + (0.1x - 51) = 90°
0.3x - 25 + 0.1x - 51 = 90
0.4x - 76 = 90
+ 76 + 76
0.4x = 166
÷0.4 ÷0.4
x = 415
The equation is a right angle so it's equal to 90°
I hope this helps!
William is thinking of 2 numbers. The larger number is four less than two times the smaller
number. The sum of the numbers is 104. What are William's numbers? Please write your
answer in a sentence.
Answer:
The numbers are 36 and 68.
Step-by-step explanation:
Let the smaller number be x.
"The larger number is four less than two times the smaller
number."
The larger number is
2x - 4
The sum of the numbers is x + 2x - 4, or 3x - 4.
"The sum of the numbers is 104."
3x - 4 = 104
3x = 108
x = 36
The smaller number is 36.
The larger number is 2x - 4, or
2x - 4 = 2(36) - 4 = 72 - 4 = 68
The larger number is 68.
Answer: The numbers are 36 and 68.
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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I need help with this Algebra 1 question.
Which statement justifies the given ordered pair as a solution to the system of equations? (−1, −13) {y=3x−10y=−2x−15
x = -1 and y = -13, (-1,-13) is the solution to the system of equation y = 3x - 10 and y = -2x - 15.
What is the solution to the given system of equation?Given the system of equation in the question;
y = 3x - 10 y = -2x - 15Is (-1,-13) the correct ordered pair?To find the solution to the system of equation, replace the occurrence of y in the second equation with y = 3x - 10 and solve for x.
y = -2x - 15
3x - 10 = -2x - 15
Add 10 to both sides
3x - 10 + 10 = -2x - 15 + 10
3x = -2x - 15 + 10
Add 2x to both sides
3x + 2x = -2x + 2x - 15 + 10
3x + 2x = - 15 + 10
Add like terms
5x = -5
x = -5/5
x = -1
Now, to solve for y, replace all occurrence of x with -1 in the first equation and solve for y.
y = 3x - 10
y = 3( -1 ) - 10
y = -3 - 10
y = -13
Therefore, the solution to the system of equation is (-1,-13).
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An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
The answer is "64".
Step-by-step explanation:
Given:
8-sided fair die
output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
if the Dice is thrown two times. so, the possible outputs are as follows:
\(\to 8 \times 8=64\)
\(\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}\)
\(\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\\)
\(\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}\)
\(\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}\)
That's why the product is 64.
What additional information do you need to know to prove Triangle KLM is congruent to Triangle UTS by SAS?
a
b
KM is congruent to SU
c
d
LM is congruent to ST
As a result, the answer to the following question, We may use the SAS criteria to argue that the two triangles are congruent if we know that KM is congruent to SU.
What precisely is a triangle?A triangle is a polygon because it contains four or more parts. It features a simple rectangular shape. A triangle ABC is a rectangle with the edges A, B, and C. When the sides are not collinear, Euclidean geometry produces a single plane and cube. If a triangle contains three components and three angles, it is a polygon. The corners are the points where the three edges of a triangle meet. The sides of a triangle sum up to 180 degrees.
Option b: KM is congruent to SU is the additional information required by SAS to demonstrate Triangle KLM is congruent to Triangle UTS.
To demonstrate that two triangles are congruent using the SAS (Side-Angle-Side) congruence criterion, we must demonstrate:
Two comparable side pairs are congruent.
The angle included (the angle formed by these two sets of sides) is congruent.
In this situation, we are told that LM is congruent to ST, but we must still demonstrate that another pair of sides is congruent. We may use the SAS criteria to argue that the two triangles are congruent if we know that KM is congruent to SU.
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at the city museum, child admission is $5.20 and adult admission is $8.60. on tuesday, 131 tickets were sold for a total sales of $956.60. how many adult tickets were sold that day?
Answer:
81 adult tickets were sold that day
Step-by-step explanation:
We will need a system of equations to solve for the number of adult tickets sold.
First equation: For reference, revenue refers to price * quantity.
We know that the revenue earned from the child tickets plus the revenue earned from the adult tickets equals the total revenue ($956.60):(price of child tickets * quantity of child tickets) + (price of adult tickets * quantity of adult tickets) = total revenue.
Allowing C to represent the number of child tickets and A to represent the number of adult tickets, our first equation is:
5.20C + 8.60A = 956.60
Second Equation:
We further know that the quantity of child tickets plus the quantity of adult tickets equals the total quantity of tickets sold (131)Thus, our second equation is:
C + A = 131
Method to Solve: We can solve for A using substitution. Let's isolate C in the second equation and plug it in for C in the first equation:
Isolating C in second equation:
(C + A = 131) - A
C = -A + 131
Substituting -A + 131 for C in first equation:
5.20 (-A + 131) + 8.60A = 956.60
-5.20A + 681.20 + 8.60A = 956.60
3.40A + 681.20 = 956.60
3.40A = 275.40
A = 81
Optional Checking Step:
We can check that we've correctly found the correct number of adult tickets sold by first using the second equation in our system to solve for C:
C + 81 = 131
C = 50
Second, we want to plug in 81 for A and 50 for C in both equations in our system and check that we get 956.60 and 131 respectively:
Checking solutions for first equation:
5.20(50) + 8.60(81) = 956.60
260.00 + 696.60 = 956.60
956.60 = 956.60
Checking solutions for second equation:
50 + 81 = 131
131 = 131
Directions: Multiply, divide, and simplify the following exponential expressions.
Pls help
One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percentage of their games did they win?
Triangle DEF has side lengths e=9 and f=13. If the measure of angle D is 41°, what is the length of side d?
• 13.5
• 5.1
• 6.9
• 8.6
Answer:
8.6
Step-by-step explanation:
Use the law of cosines
\(d^{2} = e^{2} + f^{2} -2ef cos D\)
\(d^{2} = 9^{2} + 13^{2} - 2(9)(13) cos 41\\ = 81 + 169 - 176.602\\ = 73.3979\\d = \sqrt{73.3979} = 8.6\)
show me how to do the work please
x/2 + 7 < -3
Multiply both the sides by 2.
x + 14 < -6
Now subtract 14 from both the sides.
x < -6 - 14
=》x < -20
_______
RainbowSalt2222 ☔
2x^2 + 10x - 12
find the GCF
factor by grouping
The CGF factor by grouping is 2(x + 6)(x - 1).
We are given that;
The equation 2x^2 + 10x - 12
Now,
Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
To find the GCF of 2x^2 + 10x - 12, we need to find the largest factor that can divide all the terms evenly. The GCF of 2, 10 and -12 is 2. So we can write:
2x^2 + 10x - 12 = 2(x^2 + 5x - 6)
To factor by grouping, we need to find two pairs of factors that add up to 5 and multiply to -6. One such pair is 6 and -1. So we can write:
2(x^2 + 5x - 6) = 2(x^2 + 6x - x - 6)
Then we can group the terms and factor out the common factors:
2(x^2 + 6x - x - 6) = 2[(x^2 + 6x) - (x + 6)]
= 2[x(x + 6) - (x + 6)]
= 2(x + 6)(x - 1)
Therefore, by factorization the answer will be 2(x + 6)(x - 1).
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The least preferable and reliable method of selecting people to participate in a research study is:_____.
The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.
Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.
It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.
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what are the coefficients?!?! i need help
Answer:
a = 3, b = -15, c = 7, d = 0
Step-by-step explanation:
When x = 0, y = 0 therefore d = 0
When x = 1, y = -5 therefore a + b + c = -5
When x = 2, y = -22 therefore 8a + 4b + 2c = -22
When x = 3, y = -33 therefore 27a + 9b + 3c = -33
Solving simultaneously:
a = 3, b = -15, c = 7
Find the perimeter of a field with the following dimensions: Length: x² + 3x - 1 Width: 2x + 3
Answer:
B. 2x²+10x+4
Step-by-step explanation:
the perimeter =
2×(x²+3x-1+2x+3)
= 2×(x²+5x+2)
= 2x²+10x+4
How to remember nagative exponents how to solve nagative exponents
To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.
How are negative exponent calculated?To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.
Negative exponent Rule :-
\(a^{-n} = \frac{1}{a^{n} }\)
Now , we will solve a fraction with negative exponent
For example ; Simplify the fraction \(\frac{3^{-2} }{9^{-2} }\)
Solution : \(\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}\)
= 9
Here, 9 is the answer of the above example.
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Daniel weighed 143 1/2 lbs. He
gained Ys lb during the first week,
7 lb during the second, gb
10
during the third, but lost 345 lb
during the fourth.
What was the average weekly
change in his weight?
Answer: 186+14-26+5=179 pounds
Step-by-step explanation:
1. Regainged 5 pounds and weighed 179 pounds = So he weiged 179-5=174 pounds."and lost 26 pounds"
2. To weigh 174 pounds,so he used to weigh 174+26=200 pounds, David gained 14 pounds over the winter, so he weighed 200-14=186 pounds.
3. Check 186+14-26+5=179 pounds
If you are doing algebra, then X+14-26+5=179
Solve for X.
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How do I evaluate the integral by interpreting it in terms of areas?
The process of evaluate the integral by interpreting it in terms of areas is by apply the summation rule on it.
The term called integral is defined as a mathematical object that can be interpreted as an area or a generalization of area.
Here we need to find the way to evaluate the integral by interpreting it in terms of areas.
As we all know that the integration symbol ∫ is an elongated S, suggesting sigma or summation.
Here on a definite integral, we have to use the above and below the summation symbol are the boundaries of the interval, [a, b].
Where the numbers a and b are x-values and are called the limits of integration and it specifically a is the lower limit and b is the upper limit.
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I want to know what is the formula for an endpoint with the midpoint of a line segement.
Answer:
Did u actually need the answer or is this another c.hat?
Step-by-step explanation: