Answer:
x = 3, y = - 2
Step-by-step explanation:
Simplify the 2 given equations
3(x + 1) - 5(y + 2) = 12 ← distribute left side
3x + 3 - 5y - 10 = 12
3x - 5y - 7 = 12 ( add 7 to both sides )
3x - 5y = 19 → (1)
----------------------------------
5(- 3 + 2x) - 3(4 - y) = - 3 ← distribute left side
- 15 + 10x - 12 + 3y = - 3
10x + 3y - 27 = - 3 ( add 27 to both sides )
10x + 3y = 24 → (2)
-------------------------------------------
Solve the 2 equations simultaneously
3x - 5y = 19 → (1)
10x + 3y = 24 → (2)
Multiplying (1) by 3 and (2) by 5 and adding the result will eliminate y
9x - 15y = 57 → (3)
50x + 15y = 120 → (4)
Add (3) and (4) term by term to eliminate y
59x = 177 ( divide both sides by 59 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3(3) - 5y = 19
9 - 5y = 19 ( subtract 9 from both sides )
- 5y = 10 ( divide both sides by - 5 )
y = - 2
Solution is x = 3, y = - 2
Jaclyn estimates that the square root of 50 in the following way:
[tex]\sqrt{50[/tex] = [tex]2 \sqrt{25[/tex] = 2 * 5 = 10
Explain why her reasoning is incorrect. Please use complete sentences.
[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
Error made by Jaclyn ⤵
[tex] \sqrt{50} [/tex]
[tex]\sf\red{=\:2√25}[/tex] ❌
Correct way to solve it ⤵
[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
What is the answer and how did you get it
answer is 200 lol pretty easy
Answer:
He sold 200 loaves
Step-by-step explanation:
if he sells twice as many the next week the equation would be
100 times 2 = x
therefore, the answer is 200
What are the solutions of the quadratic equation 2x2 - 4x = 3?
Answer:
a 1+- square root of 10
Step-by-step explanation:
subtract 3 set equation to zero then do quadratic formula break it down then you 2 square root of 10 over 2 divide to get square root of 10 by itself 2 divided by 2 is 1 therefore leaves 1 ^^.
A line of best fit....?
a) must pass through the median of the data
b) must pass through the origin
c) represents the trend of the data
d) must have a positive slope
4x-8y less than or equal to -16
Answer:
x=0, y=2
Step-by-step explanation:
if you substutute the answers you will get the correct answer
If H is the center of the circle, find mGJI A 117.33 B 222.57 C 242.67 D 256.56
40 POINTS! PLEASE HELP
Answer:
GJI = 242.67
Step-by-step explanation:
A circle is 360 degrees
GI + GJI = 360
The arc length is the same as the angle when it is at the center
117.33 + GJI = 360
GJI = 360 - 117.33
GJI = 242.67
Answer:
GJI = 242.67
Step-by-step explanation:
GI + GJI = 360
117.33 + GJI = 360
GJI = 360 - 117.33
GJI = 242.67
consider the equation of the line y=-2x+4 what is the value of y when x=2
Answer: The value of y is 8
Step-by-step explanation:
Since we know x=2 we can sub in 2 for x in the equation
y=2(2)+4
y=4+4
y=8
Solve the system of equations by graphing on your own paper. What is the y
coordinate of the solution?
= 2x-1
= -2x+5
Answer: The coordinate of the solution is (0.25,-0.5)
Step-by-step explanation:
the solution is (0.25,-0.5) because when you graph them on a graph, they both intercept at that point.
Write an equivalent expression in expanded form. -1/4(-8x+12)
Answer:
2x - 3
Step-by-step explanation:
The Distributive Property of Multiplication applies here. Multiply each of the two terms inside parentheses by-1/4: 2x - 3
Is pi over 2 rational or irrational
Answer:
rational
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanation: It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.
Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags
Answer: 35 meters got it right on TTM
Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda contener 1000 metros cúbicos de agua
Answer:
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:
Volumen= longitud*ancho*altura
Y reemplazando los valores se obtiene:
1000 m³= 25 m* 20 m* altura
Resolviendo:
1000 m³= 500 m²* altura
[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]
altura= 2 m
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot, in feet, of the sphere that Samantha will create?
The volume occupied by a 350 pound sphere is 2.33 ft³.
EquationEquation is an expression used to show the relationship between one or more numbers and variables.
Let y represent the weight of the sphere in pounds and x represent the volume in feet³, hence:
y = 150x
For a 350 pounds sphere:
350 = 150x
x = 2.33 ft³
The volume occupied by a 350 pound sphere is 2.33 ft³.
Find out more on equation at: https://brainly.com/question/13763238
If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))
Answer:
Here, given
g(x) = √x
h(x) = x³-1
For gh(4) , we have to find gh(x), so,
gh(x) = g(x³-1)
=√x³-1 [Note⇒root is both for x³ and 1]
Now,
gh(4) = √4³-1
= 3√7 or 7.9
Hope it helps!
What is the angle measure of the third angle of a triangle given the two angles below? 59 degrees and 58 degrees
Answer:
firstly a triangle has angle sum of 180°
Step-by-step explanation:
let all the three angles be x,y and z such that x+y+z =180°
let x= 58° and y =59°
the to calculate for the unknown z angle ;
make z subject of the formula
thus z= 180° -x-y
> z= (180-58-59)°
z= 180-117
z= 63°
Answer:
63
Step-by-step explanation:
59 + 58 = 117
180 - 117 = 63
To find a third angle you will subtract the sum of the two given angles from 180 because all you have to know is that all of the angles in a triangle always add up to 180°.
i hope this helps. i don't know how to explain
Helpppppppppppppppp meeeee
Answer:
3
Step-by-step explanation:
Both angles are congruent because they are opposite exterior angles.
6x+2=x+17
5x=15
x=3
Answer:
x = 23 °
Step-by-step explanation:
6 x + 2 ° + x + 17 ° = 180 °
combine like terms
6x + x + 2 ° + 17 ° = 180 °
7 x + 19 ° = 180 °
7 x = 180 ° - 19 °
7 x = 161 °
x = 161 ° / 7
x = 23 °
what is the solution to the equation below sqrt x-2 = x-22
Answer:
√27-2 =27-22
√25. =5
the answer is option B
x=27
Answer:
option B : x = 27
Step-by-step explanation:
please help guys its urgent
Answer:
option B : Upen
Step-by-step explanation:
To find who saves the greatest. Find who spent the least.
That is find the smallest of these fractions.
To find the smallest among the fraction:
Step 1 : make the denominators the same.
Step 2 : to make denominators same find LCM of 8, 4, 3, 6
Step 3: LCM = 24
[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]
[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]
So 2/3 is the smallest fraction, which means 2/3 spent the least amount from the salary.
Therefore, Upen saves the greatest amount every month.
The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.
Answer:
The answer is 14.
Step-by-step explanation:
All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.
Find each difference. (10 Points!)
Answer:
1. -6y^4 +4y^2 -12
2. x - 19
Step-by-step explanation:
1.
(6y^4+3y^2-7) - (12y^4-y^2+5)
= -6y^4+ 4y^2- 12
2. 3(x-5) - (3x+4)
= (3x-15) - (3x+4)
= x-19
If there was a total of 80 vehicles an a percentage of 70% of cars how much car was used
Answer:
56
Step-by-step explanation:
I don't quite understand your question but I assumed you meant what is 70% of 80
What is the slope of the line that passes through the points (3,4) and (0,-2)
Answer:
slope of a line is 2/3
Step-by-step explanation:
the coordinate points are:
(3,4)=(x1 , y1)
(0,-2)=(x2 , y2)
slope=y2 - y1/x2 - x1
=-2-4/0-3
=-2/-3
=2/3
Angle Measurements 1”” degree help find out what’s the other side
Answer:
80 degree
Step-by-step explanation:
missing angle + 100 degree = 180 degree (being co interior angles )
missing angle = 180 - 100
missing angle 80 degree
A:6 and 30
B:8 and 28
C:4 and 16
Answer:
C?
Step-by-step explanation:
A 3-member committee has to be formed from 2 teachers and 2 parents. How many combinations are possible?
Step-by-step explanation:
the answer is in the above image
The number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
Combination and permutationCombinations have to do with selection compared to permutation that has to do with the arrangement.
If a 3-member committee has to be formed from 2 teachers and 2 parents, the total committee is given as:
Total committee members = 2 + 2
Total committee members = 4 committees
If 3-member committee has to be formed from them, the number of ways this can be done is given as:
4C3 = 4!/(4-3)!3!
4C3 = 41/3!
4C3 = 4 ways
Hence the number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
Learn more on combination here: https://brainly.com/question/11732255
A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if students work too much and therefore are spending less time on their classes than they should be. The researcher chooses a sample of 150 students and found that the sample mean is 7.10 hours and the sample standard deviation is 5. Construct a 90% confidence interval estimate of the mean hours a week students are working. a. What is the point estimate: _____________b. Find the critical value: ________________ Round to 3 decimal places. c. What is the margin or error: __________________ Round the answer to three decimal places d. Construct the confidence interval: Express the answer as (x,x), ______________ round to one decimal place. e. State the final Conclusion.
Answer:
(a) Point estimate = 7.10
(b) The critical value is 1.960
(c) Margin of error = 0.800
(d) Confidence Interval = (6.3, 7.9)
(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
Step-by-step explanation:
Given
[tex]\bar x = 7.10[/tex] -- sample mean
[tex]\sigma=5[/tex] --- sample standard deviation
[tex]n = 150[/tex] --- samples
Solving (a): The point estimate
The sample mean can be used as the point estimate.
Hence, the point estimate is 7.10
Solving (b): The critical value
We have:
[tex]CI = 90\%[/tex] --- the confidence interval
Calculate the [tex]\alpha[/tex] level
[tex]\alpha = 1 - CI[/tex]
[tex]\alpha = 1 - 90\%[/tex]
[tex]\alpha = 1 - 0.90[/tex]
[tex]\alpha = 0.10[/tex]
Divide by 2
[tex]\frac{\alpha}{2} = 0.10/2[/tex]
[tex]\frac{\alpha}{2} = 0.05[/tex]
Subtract from 1
[tex]1 - \frac{\alpha}{2} = 1 - 0.05[/tex]
[tex]1 - \frac{\alpha}{2} = 0.95[/tex]
From the z table. the critical value for [tex]1 - \frac{\alpha}{2} = 0.95[/tex] is:
[tex]z = 1.960[/tex]
Solving (c): Margin of error
This is calculated as:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
[tex]E = 1.960 * \frac{5}{\sqrt {150}}[/tex]
[tex]E = 1.960 * \frac{5}{12.25}[/tex]
[tex]E = \frac{1.960 *5}{12.25}[/tex]
[tex]E = \frac{9.80}{12.25}[/tex]
[tex]E = 0.800[/tex]
Solving (d): The confidence interval
This is calculated as:
[tex]CI = (\bar x - E, \bar x + E)[/tex]
[tex]CI = (7.10 - 0.800, 7.10 + 0.800)[/tex]
[tex]CI = (6.3, 7.9)[/tex]
Solving (d): The conclusion
We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
Which best describes the circumcenter of a triangle?
• A. The point where the three angle bisectors of the triangle inters
•
B. The point where the perpendicular bisectors of the three sides
the triangle intersect
• c. The point where the three altitudes of the triangle intersect
D. The point where the three medians of the triangle intersect
Answer:
B
Step-by-step explanation:
Not much to say but that i the definition. You sing the midpoint of each side, make a perpendicular line and see where the three perpendicular bisectors intersect.
A is the incenter, C sounds like the Orthocenter and D sounds like the centroid.
Aside from being able to tell from the parts of the words, you just kinda have to memorize these.
Calculate the number of kilowatt-hour a 7kW industrial pump used in 15 hours?
Answer:
The answer is "105 kilowatt-hour".
Step-by-step explanation:
Number of kilowatts[tex]= 7\ KW[/tex]
Total hours[tex]= 15 \ hours[/tex]
The total number of kilowatt-hour:
[tex]=7 \times 15\\\\= 105 \ kilowatt-hour[/tex]
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
It is 300.88.
Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.
find the mean of 11,7,2,8
mean=7
Answer:
n=4
sum =11+7+2+8=28
MEAN=sum/n=28/4=7
Answer:
The Mean is 7.
Step-by-step explanation:
Mean, or average is when you find a number that is reperesentative of the set as a whole.
To find this we add up all the values and divide it by how many values there are.
11 + 7 + 2 + 8 = 28
28/4 = 7
