Answer:
(x,y)=(-1,1)
Step-by-step explanation:
Given that,
3x + 5y = 2 .....(1)
6x - 10y = -16 ....(2)
Finding the value of x from equation (1).
[tex]x=\dfrac{2-5y}{3}[/tex]
Put the value of x in equation (2)
[tex]6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1[/tex]
Put the value of y in equation (1) :
[tex]3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1[/tex]
So, the solution of the equations is (-1,1).
Given g(x) = 5x + 2, solve for x when g(x) = 7.
Jason rowed 1/3 of a mile down the river.Jane rowed 2/6 of a mile down the river. Jude rowed 2/9 of a mile down the river.What is the total distance that jason Jane jude rowed down the river in total?
Answer:
8 / 9 miles
Step-by-step explanation:
Given that:
Jason's distance = 1/3 mile
Jane's distance = 2/6 miles
Jude's distance = 2/9 miles
The total miles rowed down the river by all 3 :
(1/3 + 2/6 + 2/9) miles
The L. C. M of the denominator (3, 6, 9) = 18
(6 + 6 + 4) / 18
16 / 18 miles
8 / 9 miles
Jesse enjoys watching ‘Rudolph the Red-Nosed Reindeer’ during the holidays. If Jesse watches the movie three times every year, how many times will she have seen the movie when she turns 24?
Answer:
72
Step-by-step explanation:
Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72
Answer:
72
Step-by-step explanation:
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[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• greatest common factor of 8 and 12
Answer:
Positive 4
Step-by-step explanation:
I believe this is the same as the problem above.
Factors for 8 => 1, 2, 4, 8
factors for 12 => 1, 2, 3, 4, 6, 12
the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.
In a survey, four out of five people surveyed preferred creamy over chunky peanut butter. 120 people are shopping at the grocery store. Use the survey to predict how many people in the store would prefer creamy peanut butter?
Answer: Around 96 people would prefer creamy peanut butter.
Step-by-step explanation:
In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.
Then the relative frequency is:
4/5 = 0.8 prefer creamy peanut butter.
And we can assume that:
1/5 = 0.2 prefer chunky peanut butter.
We also could multiply these numbers by 100% to obtain the percentage forms:
0.8*100% = 80%
0.2*100% = 20%
Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.
Then we can expect that the number of people that prefers creamy peanut butter is:
N = (80%/100%)*120 = 0.8*120 = 96
Around 96 people would prefer creamy peanut butter.
A contracter hires 4 workers for a construction project
Answer:
???
Step-by-step explanation:
so whats the question.
If the point (3, 10) is on f(x), which point will be on f(x)+3?
please help me :(
Answer:
(3,13)
Step-by-step explanation:
so, you would add 3 to the y value
the point would be (3,13)
What is the value of b?
Answer:
128
Step-by-step explanation:
Add the two numbers then subtract from 360
Help ASAP ILL GIVE BRAINLIST TO CORRECT PERSON TY! I already solved how much money she needs
Step-by-step explanation:
Let x be the amount Jennifer needs to spend more.
We have $112.49 + x >= $250.
We subtract $112.49 from both sides of the inequality to get x >= $137.51.
Hence, Jennifer needs to spend at least $137.51 more to earn the free T-shirt.
Answer:
33
Step-by-step explanation:
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We know that 15 elves represent the 20% of the total.
Since 20% is one-fifth, the total number of elves is
[tex]15\cdot 5 = 75[/tex]
Alternatively, solve the proportion
[tex]15\div x = 20\div 100[/tex]
which yields
[tex]x=\dfrac{1500}{20}=75[/tex]
Suppose that 8 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females?
Answer:
0.4196
0.2098
0.0280
0.2378
Step-by-step explanation:
Given that:
Number of females = 8
Number of males = 6
Total = 8 + 6 = 14
Number of positions = 5
Probability = required outcome / Total possible outcomes
Total possible outcomes = 14C5
nCr = n! / (n-r)! r!
14C5 = 2002 (from calculator)
(A) 3 females and 2 males?
Required outcome : 8C3 * 6C2 = 56 * 15 = 840
840 / 2002 = 0.4196
(B) 4 females and 1 male?
(8C4 * 6C1) / 14C5 = 420 / 2002 = 0.2098
(C) 5 females?
8C5 / 14C5 = 56 / 2002 = 0.0280
(D) At least 4 females?
4 female 1 male + 5 females
((8C4 * 6C1) + 8C5) / 14C5
(420 + 56) / 2002 = 0.2378
what is 2+2 in pemdas
Answer:
Addition with the result of 4Step-by-step explanation:
Given
2 + 2 = 4PEMDAS is the rule that includes order of operations in the sequence:
Parentheses, Exponents, Multiplication and Division, Addition and SubtractionIn the given expression we have Addition bit of PEMDAS
1/6 - 3/8 as a fraction
Answer:
-5/24
Step-by-step explanation:
find common denominator
8/48 - 18/48 = -10/48
simplified the answer is -5/24
Answer:
-5/24
Step-by-step explanation:
Are you sure you want your answer to be negative? Because if you switch the order, it would be 5/24. Just in case! Good luck and have a great day!
For the equation y-3=2(x+4) the line has a slope of 2 and contains what point?
Answer:
(-4,3)
Step-by-step explanation:
I got it correct :)
The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
The equation of the line is y - 3 = 2 ( x + 4 )
The slope m = 2
Let the point be = A ( x₁ , y₁ )
The point A can be calculated from the equation of line
From the formula for equation of line , we can substitute the values and find the point A
So ,
Equation of line is y - y₁ = m ( x - x₁ )
Substituting the value of x₁ , y₁ and m in the equation , we get
y - 3 = 2 ( x - ( -4 ) 0
So , y₁ = 3
x₁ = -4
Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )
Hence , the point A is ( -4 , 3 )
To learn more about equation of line click :
https://brainly.com/question/14200719
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Ada charges a flat rate of $56.00 for painting houses plus an additional $8.00 for each hour she works. Which of the following expressions should Ada use to determine the cost for working 4 hours?
Answer:
cost = 56 + 8t, where t is the number of hours worked for.
for 4 hours of work, cost = 56 + 8 x 4 = $88
Step-by-step explanation:
For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *
Answer:
55%
Step-by-step explanation:
The total number of questions gotten correctly = 22
The total number of questions to be answered = 40
The percent of questions Joan got correctly is calculated as:
(The total number of questions gotten correctly/The total number of questions to be answered) × 100
22/40 × 100
= 55%
Max was fencing in his rectangular pool area. The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet. a) Write and simplify an expression for the perimeter of the pool area to be fenced in. Be sure to include the formula!
Answer:
(6x + 2) feet
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2L + 2 W
Where L = Length
W = Width
Hence, the:
The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet.
The perimeter of the rectangular pool =
2(2x - 3) + 2(x + 4)
= 4x - 6 + 2x + 8
= 4x + 2x - 6 + 8
= (6x + 2) feet
Therefore, an expression for the perimeter of the pool area to be fenced is (6x + 2) feet
Which of the following statements is TRUE about rectangle GHIJ.
Answer:
JK=KI
Step-by-step explanation:
Answer:
KJ=KI
Step-by-step explanation:
They're the same length
Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola
Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :
[tex]b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55[/tex]
General equation of hyperbola is :
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1[/tex]
Hence, this is the required solution.
The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….
Answer:
[tex]C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1,z_1) = (1,3,-2)[/tex]
[tex](x_2,y_2,z_2) = (4,5,0)[/tex]
[tex](x_3,y_3,z_3) = (6,3,9)[/tex]
Required
Determine the coordinates of the centroid
Represent the coordinates with C.
C is calculated as follows:
[tex]C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))[/tex]
Substitute values of x and y in the given equation
[tex]C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))[/tex]
[tex]C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))[/tex]
[tex]C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})[/tex]
The above is the coordinate of the centroid
A theater has 384 seats. Each row has 16 seats. What is the value of x in the area model?
Answer:
x=4
Step-by-step explanation: 64/16=4
The shape is composed of squares and quarter circles. Select all the expressions that represent its perimeter. (Select all that apply.) 42+14 7+7+7+7+7+7+3.5+3.5+3.5+3.5 91+14 147+49 7+7+7+7+7+7+7+7+7+7
Answer:
91+14π
Step-by-step explanation:
The question is incomplete. Find the complete question attached.
From the diagram shown;
It contains 4 quarter circles which is equal to a circle.
Perimeter of a circle = 2πr
r is the radius = length of one side of the square =7
Perimeter of the circle = 2πr
Perimeter of the circle = 2π(7)
Perimeter of the 4 quarter circles = 14π
Also in the diagram, there are 13 sides of the square present.
Perimeter of the squares = 13×length of one side of the square (Sum of all the sides)
Perimeter of the squares = 13×7 =91
Perimeter of the figure = Perimeter of the 4 quarter circles + Perimeter of the squares
Perimeter of the figure = 91+14π
Answer:
The other guy who answered this is wrong
Step-by-step explanation:
Your welcome
i am confused i don't know how to solve this maybe someone on here can solve it but here is it Solve. 21r<7
Answer:
r<-3
Step-by-step explanation:
Answer:
r < [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
21r < 7 ( isolate r by dividing both sides by 21 )
r < [tex]\frac{7}{21}[/tex] , that is
r < [tex]\frac{1}{3}[/tex]
I’m trying to prove this but I’m stuck... :(
Can someone help ?
The random variable W can take on the values of 0, 1, 2, 3, or 4. The expected value of W is 2.8. Which of the following is the best interpretation of the expected value of random variable W?
A randomly selected value of W must be equal to 2.8
B
The values of W vary by about 2.8 units from the mean of the distribution
с
The mean of a random sample of values selected from the distribution will be 2.8
D
A value of randomly selected from the distribution will be less than 2.8 units of the mean
E
For values of Wrepeatedly selected at random from the distribution the mean of the selected values will approach 2.8.
Answer:
E
Step-by-step explanation:
I did it on AP Classroom
darren drove his car 96 miles and used 4 gallons of gasoline . what is the unit rate for miles per gallon
Answer:
24 miles per gallon
Step-by-step explanation:
Take the numbers of miles and divide by the number of gallons
96 miles / 4 gallons
24 miles per gallon
Answer: Darren is getting 24 miles per gallon. That should be your unit rate.
Which of the following may be used as reasons in a two-column proof? Select all that apply.
Answer:
The word among the options that may be used for a two column proof includes;
1) Definitions
2) Theorems
3) Postulates
4) Properties
5) "Given"
Step-by-step explanation:
The word among the options that may be used for a two column proof includes;
1) Definitions; Includes the definitions of a geometry, that outlines the relevant properties
2) Theorems; Valid reasoning or conclusion that may not be directly evident in the presentation of the given relationships, but which serve to provide validation to more clearer relationships between the variables
3) Postulates; Previous suggestion or reasoning taken to be the true relationships
4) Properties; Characteristics of a given figure or expression
5) "Given"; Conditions initial stated as those of the properties of the figure or expression
notmxffin can u answer this please?
Answer:
1 - 3
2 - 1
3 - 4
4 - 3
Step-by-step explanation:
PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Explain pls :)
At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?
Answer:
I think it's
Step-by-step explanation:
73.70×3
221.1
Which fraction represents 0.64 repeating A. 5/12 B. 7/11 C. 2/3 D. 9/13
Answer:
7/11
Step-by-step explanation:
I could tell it was either 7/11 or 9/13 because I knew 2/3 was .666 and the other one 5/12 is less than half, so it'd be less than .5.
7/11 = .6363
9/13= .6969
7/11 is the closest