a) He will earn $584 for working 36 hours.
b) He will earn $656 for working 39 hours.
c) He will earn $728 for working 42 hours.
Step-by-step explanation:
Amount per hour = $16
Time and a half means 1.5 times more than the original payment.
Therefore, above 35 hours, the earning for one hour,
Extra time per hour = 16*1.5 = $24
A) 36 h
For the first 35 hours, he will get $16 per hour, therefore,
Amount of 35 hours = [tex]35*16= \$560[/tex]
Amount of one hour = $24 (as calculated above)
Total = 560+24 = $584
He will earn $584 for working 36 hours.
B) 39 h
39 h = 35h + 4h
Amount of 35 hours = $560
Amount of extra 4 hours = $24*4 = $96
Total = 560+72 = $656
He will earn $656 for working 39 hours.
C) 42 h
42 h = 35h + 7h
Amount of 35 hours = $560
Amount of extra 7 hours = 24*7 = $168
Total = 560+168 = $728
He will earn $728 for working 42 hours.
Keywords: addition, multiplication
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Put in simplest fraction form:
3,628,800/55
Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It cost Micheal $12 total for the movie. How much did it cost for his brother?
It cost $5 for his brother's ticket.
Step-by-step explanation:
Let,
Micheal's ticket price= x
His brother ticket price = y
According to given statement;
x+y=12 Eqn 1
y = x-2 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
[tex]x+(x-2)=12\\x+x-2=12\\2x=12+2\\2x=14\\[/tex]
Dividing both sides by 2;
[tex]\frac{2x}{2}=\frac{14}{2}\\x=7[/tex]
Putting x=7 in Eqn 2
[tex]y=7-2\\y=5[/tex]
It cost $5 for his brother's ticket.
Keywords: linear equation, substitution method
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A graph with a line running through coordinates (0,0) and coordinates (30,24)
Item 3
Carl's new car gets 27 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?
a. x = 27y
b. y = 27x
c. y = 27 + x
d. x = 27 + y
Answer:
b. y = 27x
Step-by-step explanation:
When you talk about "per" it means multiplication, and 27 is being multiplied by (x) gallons of gas.
What is a equation of the line that is parallel to y=-5×+6 and passes through the point (-4,-1)
The equation of the line that is parallel to y = -5x + 6 and passes through the point (-4, -1) in slope intercept form is y = -5x -21
Solution:Given that line passes through the point (-4, -1) and parallel to y = -5x + 6
We have to find the equation of line
Let us first calculate the slope of line having equation as y = -5x + 6
The slope intercept form of line is given as:
y = mx + c ---- eqn 1
where "m" is the slope of line and "c" is the y-intercept
Comparing the given equation of line y = -5x + 6 with slope intercept form y = mx + c,
we get the slope of line "m" = -5
We know that slope of two given parallel lines are always equal
Hence the slope of line which is parallel to line with equation y = -5x + 6 is also -5
Now we have to find the equation of line passing through point (-4, -1) with slope -5
Substitute (x, y) = (-4, -1) and m = -5 in eqn 1 to find "c" intercept
-1 = -5(-4) + c
-1 = 20 + c
c = -21
Substitute c = -21 and m = -5 in eqn 1 to get the equation of line
y = -5x + (-21)
y = -5x -21
Thus the equation of required line is found out as y = -5x -21
an elementary school teacher wants to know if the words in a book are too difficult for her students. She reads the first sentence on the first page in every chapter and finds three words her students would not know. what is the sample in this situation
A.the three words her students would not know
B. the words that she reads that her students would know
c. every word in the book
d.every word in the first sentence of the first page of every chapter<—my answer
Answer:
d.every word in the first sentence of the first page of every chapter.
Step-by-step explanation
the sample space means the set of total possible outcomes or ALL possible outcomes.so here, the situation is about the teacher reading a sentence.the favorable outcome is the set which has all the words that the students would not know from all the words read by the teacher or simply from the sample space.since the teacher reads the first sentence on the first page in every chapter , all the words in that sentence will be sample in this situation.Cot^2 x- 6cotx - 5=0
Step-by-step explanation:
cotx=t
t^2-6t-5=0
t=cotx=1or5
1. A relation is plotted as a linear function on a coordinate plane starting at point C at (3, –2) and ending at point D at (–2, 3). What is the rate of change for the linear function and what is its initial value?
The rate of change is ______ and the initial value is ______.
A. 1 and -1
B. -1 and 1
C. 5 and -2
D. -2 and 5
2. Ava drove her car at a constant rate to the train station. At the train station, she waited for the train to arrive. After she boarded the train, she traveled at a constant rate, faster than she drove her car. She entered the taxi and traveled at a constant speed. This speed was equal to the speed at which she had driven her car earlier. After some time, she arrived at her destination.
Which graph represents Ava’s travel plans? (First 3 graphs are the options to this question.)
1. The rate of change is -1 and the initial value is 1.
2. The graph represents Ava’s travel plans is graph (I).
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
1. We have the coordinates as C(3, -2) and D(-2, 3).
So, the rate of change of linear function is
= 3 - (-2) / (-2 -3)
= 3+ 2 / (-5)
= 5/ (-5)
= -1.
and, the initial values is where the independent variable is zero which is (1, 0).
2. The graph represented for Ava journey is (A).
This, is because the speed of Ava car and speed of taxi is equal which is shown in graph 1 clearly.
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1. The rate of change is -1 and the initial value is 1 (Option B). 2. The graph represents Ava’s travel plans is: option A (Graph 1).
What is the rate of change of a linear function?The rate of change for a linear function is given by the slope of the line. The slope (m) can be calculated using the formula:
m = change in y / change in x
In this case, using the given points C (3, -2) and D (-2, 3):
[tex]\[ m = \frac{{3 - (-2)}}{{(-2) - 3}} = \frac{{5}}{{-5}} = -1 \][/tex]
So, the rate of change is -1.
The initial value of a linear function is the y-intercept, which is the y-coordinate when x = 0. Substituting (x, y) = (-2, 3) and m = -1 into y = mx + b, find b (initial value):
3 = -1(-2) + b
3 = 2 + b
3 - 2= b
b = 1.
Therefore, the correct answer is:
B. The rate of change is -1, and the initial value is 1.
2. The graph depicting Ava's journey is labeled as (A) because it clearly illustrates that Ava's car and the taxi have the same speed, as shown in Graph 1.
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Write an expression for the area of a square with a side length of 4a squared. Simplify the expression.
Answer:
16a^4
Step-by-step explanation:
You do 4a^2*4a^2= 16a^4 because area of square is length times width and we know that that length and width in a square is equal.
4*4= 16
a^2*a^2= a^4 (because when you multiply powers with the same base like a in this case, you add the powers up. So in this example it would be 2+2= 4)
Put them together to give you 16a^4
Final answer:
The area of a square with a side length of 4a² is A = 16a⁴, showcasing the area's proportionality to the fourth power of side length a.
Explanation:
The expression for the area of a square with a side length of 4a squared is found by squaring the side length. Since the side of the square is 4a², the area A is given by:
A = (4a²) × (4a²) = 16a⁴
The simplified expression for the area is 16a to the fourth power, which indicates that the area is proportional to the fourth power of the side length a.
There are 235 seventh-grade students going on a field trip. The school has 5 buses to take the students. Each bus has 22 seats, and 2 students can sit in each seat. Based on this information, how many students will not be able to ride on a bus for the field trip?
15 students will not be able to ride on bus for the field trip.
Step-by-step explanation:
No. of seats in one bus = 22 seats
1 seat is for 2 students, therefore, one bus can sit students;
No. of students in one bus = 22*2 = 44 seats
Total buses = 5
One bus can have 44 students, 5 buses can have;
5 buses = 44*5 = 220 students
Total students = 235
As the buses can have 220 students;
Students left = Total students - No. of students in 5 buses
[tex]Students\ left=235-220=15\ students[/tex]
15 students will not be able to ride on bus for the field trip.
Keywords: multiplication, subtraction
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Final answer:
There are 15 seventh-grade students who will not be able to ride on a bus for the field trip, as the total bus seating capacity is for 220 students and there are 235 students going on the trip.
Explanation:
The subject of this question is Mathematics, specifically a problem involving division and subtraction to determine the number of students who will not have a seat on the buses. To solve this, we need to calculate the total seating capacity of all buses and then find the difference between the number of students and the total seating capacity.
Each bus has 22 seats and each seat can accommodate 2 students, so each bus can carry 22 x 2 = 44 students. There are 5 buses, so the total seating capacity is 5 x 44 = 220 students.
There are 235 seventh-grade students going on the field trip. To find out how many will not be able to ride the bus, we subtract the total seating capacity from the number of students: 235 - 220 = 15 students will not be able to ride on a bus for the field trip.
A standard form of a parabola with points through (2, 0) (3, 2) (4, 6)
y = x^2 + 3x + 2
y = x^2 + 3x - 2
y = x^2 - 3x + 2
y = x^2 - 3x - 2
The standard form of a parabola with points through (2, 0) (3, 2) (4, 6)
is y = x² - 3x + 2 ⇒ 3rd answer
Step-by-step explanation:
The standard form of a parabola is y = ax² + bx + c, where a, b , c are constant
To find a , b , c
You must have 3 points lie on the parabolaSubstitute the coordinates of each point in the equation to make system of equations of a , b and cSolve the system of equation to find them∵ The standard form of a parabola is y = ax² + bx + c
∵ The parabola passes through points (2 , 0) , (3 , 2) , (4 , 6)
- Substitute the coordinates of each point in the equation
Point (2 , 0)
∵ x = 2 and y = 0
∴ 0 = a(2)² + b(2) + c
∴ 0 = 4a + 2b + c
- Switch the two sides
∴ 4a + 2b + c = 0 ⇒ (1)
Point (3 , 2)
∵ x = 3 and 2 = 0
∴ 2 = a(3)² + b(3) + c
∴ 2 = 9a + 3b + c
- Switch the two sides
∴ 9a + 3b + c = 2 ⇒ (2)
Point (4 , 6)
∵ x = 4 and y = 6
∴ 6 = a(4)² + b(4) + c
∴ 6 = 16a + 4b + c
- Switch the two sides
∴ 16a + 4b + c = 6 ⇒ (3)
Subtract equation (1) from equations (2) and (3)
∴ 5a + b = 2 ⇒ (4)
∴ 12a + 2b = 6 ⇒ (5)
- Multiply equation (4) by -2 to eliminate b
∴ -10a - 2b = -4 ⇒ (6)
- Add equations (5) and (6)
∴ 2a = 2
- Divide both sides by 2
∴ a = 1
Substitute the value of a in equation (4) to find b
∵ 5(1) + b = 2
∴ 5 + b = 2
- Subtract 5 from both sides
∴ b = -3
Substitute the value of a and b in equation (1) to find c
∵ 4(1) + 2(-3) + c = 0
∴ 4 - 6 + c = 0
- Add like terms
∴ -2 + c = 0
- Add 2 to both sides
∴ c = 2
Substitute the values of a , b , c in the standard form above
∵ y = ax² + bx + c
∵ a = 1 , b = -3 , c = 2
∴ y = (1)x² + (-3)x + (2)
∴ y = x² - 3x + 2
The standard form of a parabola with points through (2, 0) (3, 2)
(4, 6) is y = x² - 3x + 2
There is another solution you can substitute the x-coordinate of each point in each answer to find the corresponding value of y, if the value of y gives the same value of the y-coordinate of the point for the three points then this answer is the standard form of the parabola
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Answer:
C. y = x^2 - 3x + 2
Step-by-step explanation:
(4,6)
6 = 4² - 3(4) + 2
6 = 16 - 12 + 2
6 = 6
2 = 2
(3,2)
2 = 3² - 3(3) + 2
2 = 9 - 9 + 2
2 = 2
(2,0)
0 = 2² - 3(2) + 2
0 = 4 - 6 + 2
0 = 0
simplify 5(6x+9) using the distributive property
Answer:
30x+45
Step-by-step explanation:
5*6x=30x
5*9=45
Answer:
30x + 45
Step-by-step explanation:
We distribute the 5 to the variable 6x and the constant 9:
5(6x+9)
5 x 6x = 30x
5 x 9 = 45
The answer is 30x + 45
please help before 2pm :/ THANKSSSS
Answer:
C = [tex]$ \frac{1}{10} $[/tex]
D = [tex]$ \frac{1}{10^2} $[/tex]
Step-by-step explanation:
78.09 = 7 [tex]$ \times A + 8 \times B + 0 \times C + 9 \times D $[/tex]
78.09 = 7 [tex]$ \times 10^1 + 8 \times 10^0 + 0 \times \frac{1}{10} + 9 \times \frac{1}{10^2}[/tex]
⇒ C = [tex]$ \frac{1}{10} $[/tex]
D = [tex]$ \frac{1}{10^2} $[/tex]
Hence, the answer.
A section of the dining room has 3 tables with 6 chairs at each table determine which expressions represent the situation and which do not
(3)-(6)
3x6
(3)(6)
3/6
3+6
6+6+6
Represent the situation or do not represent the situation
Do:
3x6
(3)(6)
6+6+6
Do not:
(3)-(6)
3/6
3+6
There are 1125 members in a mountaineering club. The club's secretary surveys 72 randomly selected members and finds that 63 members are in favor of holding a used-gear sale. About how many of the club members would be in favor of holding a used-gear sale?
63
72
984
1053
984 members of club would be in favor of used-gear sale based on results of survey.
Step-by-step explanation:
Number of people surveyed = 72
People in favor of sale = 63
Percentage of people in favor = [tex]\frac{People\ in\ favor\ of\ sale}{No.\ of\ people\ surveyed}*100[/tex]
Percentage of people in favor = [tex]\frac{63}{72}*100 = \frac{6300}{72}\\[/tex]
Percentage of people in favor = 87.5%
It means that 87.5% members of club will be in favor of sale.
Total members of club = 1125
Total members in favor = 87.5% of total members
[tex]Total\ members\ in\ favor=\frac{87.5}{100}*1125 = \frac{98437.5}{100}\\Total\ members\ in\ favor=984.3[/tex]
Rounding off to nearest whole number
Total members in favor = 984
984 members of club would be in favor of used-gear sale based on results of survey.
Keywords: percentage, division
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Bar graphs are useful for showing:
Bar graphs are effective for illustrating and comparing quantitative categories like size, quantity, rates, and distances. The bars can represent different entities and their height indicates a numerical or percentage value. This visual comparison aids in identifying data patterns, trends and relationships.
Explanation:Bar graphs are a useful form of data representation in mathematics, especially when needing to illustrate and compare quantitative categories such as size, quantity, rates, and distances. In these graphs, just as it shows in Figure A7 and Figure A8, the bars can denote different categories like countries or years, and the height of the bars on the vertical axis signifies a numerical or a percentage value. The strength of bar graphs lies in their ability to provide a visual comparison, making it easier to spot patterns, trends, and the relationships between data.
Other types of graphs, such as line graphs and pie charts, have their unique uses, too. A line graph is best for showing the relationship over time between two variables, like the unemployment rate. Pie charts demonstrate how something is divided into parts, such as how a group of people or a sum of money is distributed.
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In TVW if VW is three meters longer than TV, TW is 20 meters shorter than the sum of VW and TV, and the perimeter of TVW is 74 meters, find the length of VW.
PLEASE EXPLAIN STEPS!!!
Answer:
The length of VW is [tex]25\ m[/tex]
Step-by-step explanation:
we know that
The perimeter of triangle TVW is equal to
[tex]P=VW+TV+TW[/tex]
we have
[tex]P=74\ m[/tex]
so
[tex]74=VW+TV+TW[/tex] -----> equation A
[tex]VW=TV+3[/tex] ----> equation B
[tex]TW=(VW+TV)-20[/tex] ----> equation C
substitute equation B in equation C
[tex]TW=(TV+3+TV)-20[/tex]
[tex]TW=2TV-17[/tex] ----> equation D
substitute equation B and equation D in equation A
[tex]74=(TV+3)+TV+(2TV-17)[/tex]
solve for TV
[tex]74=4TV-14[/tex]
[tex]4TV=74+14[/tex]
[tex]4TV=88[/tex]
[tex]TV=22\ m[/tex]
Find the value of VW
[tex]VW=TV+3[/tex] -----> [tex]VW=22+3=25\ m[/tex]
Find the value of TW
[tex]TW=2TV-17[/tex] -----> [tex]TW=2(22)-17=27\ m[/tex]
Factor the expression completely: x^3−27y^3
use figure 8.1. Corey Griffin obtained an installment loan of $1000. The annual percentage rate is 8 percent. He must repay the loan in 18 months. What is the finance charge?
A. $63.80
B. $75.10
C. $70.00
D. $78.20
Answer:
Option A. $63.80
Explanation:
The figure contains a table with the monthly payment on a a $100 loan in function of the number of months (term in months) and the annual percent rates (8.00%, 10.00%, 12.00%, 14.00%).
You find the monthly payment on an $100 loan for the terms of the installment loan obtained by Corey Griffin, in the cell resulting from the intersection of the row for 18 months and the column for the rate of 8.00%. That is 5.91.
The meaning of that value is that it must repaid $5.91 monthly, per each $100 of loan.
Hence, for the $1,000, you compute the monthly payment in this way:
Monthly payment = $1,000 × ( $5.91 / $100) = $59.10Now, to find the finance charge, compute the total payments and subtract the amount of the loan:
Total payments = 18 months × $59.10 / month = $1,063.80Finance charge = Total payments - loan amount = $1,063.80 - $1,000 = $63.80Thus, the finance charge is $63.80 (option A).
Direct variations need help
Answer:
Part 11) The table represent a direct variation. The equation is [tex]y=18x[/tex]
Part 12) The table represent a direct variation. The equation is [tex]y=0.4x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Part 11)
For x=0.5, y=9
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=9/0.5=18[/tex]
For x=3, y=54
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=54/3=18[/tex]
For x=-2, y=-36
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=-36/-2=18[/tex]
For x=1, y=18
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=18/1=18[/tex]
For x=-8, y=-144
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=-144/-8=18[/tex]
The values of k is the same for each ordered pair
therefore
The table represent a direct variation
The linear equation is
[tex]y=18x[/tex]
Part 12)
For x=-5, y=-2
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=-2/-5=2/5=0.40[/tex]
For x=3, y=1.2
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=1.2/3=0.40[/tex]
For x=-2, y=-0.8
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=-0.8/-2=0.4[/tex]
For x=10, y=4
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=4/10=0.4[/tex]
For x=20, y=8
Find the value of k
[tex]k=y/x[/tex] -----> [tex]k=8/20=0.4[/tex]
The values of k is the same for each ordered pair
therefore
The table represent a direct variation
The linear equation is
[tex]y=0.4x[/tex]
I NEED HELP ASAP..
WILL GIVE BRAINLIEST.
50 POINTS!
Answer:
see the explanation
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides
step 1
Find the coordinates of point X (midpoint of segment AC)
we have
A(0,2a), C(2a,0)
The formula to calculate the midpoint between two points is equal to
[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
substitute the values
[tex]X(\frac{0+2a}{2},\frac{2a+0}{2})[/tex]
[tex]X(a,a)[/tex]
step 2
Find the length side AX
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
A(0,2a), X(a,a)
substitute
[tex]AX=\sqrt{(a-2a)^{2}+(a-0)^{2}}[/tex]
[tex]AX=\sqrt{(-a)^{2}+(a)^{2}}[/tex]
[tex]AX=a\sqrt{2}\ units[/tex]
step 3
Find the length side BX
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
B(0,0), X(a,a)
substitute
[tex]BX=\sqrt{(a-0)^{2}+(a-0)^{2}}[/tex]
[tex]BX=\sqrt{(a)^{2}+(a)^{2}}[/tex]
[tex]BX=a\sqrt{2}\ units[/tex]
step 4
Compare the length side AX and BX
[tex]AX=a\sqrt{2}\ units[/tex]
[tex]BX=a\sqrt{2}\ units[/tex]
[tex]AX=BX[/tex]
so
The triangle AXB has two equal sides
therefore
Triangle AXB is an isosceles triangle
Answer:
Soooooooooooooo
Step-by-step explanation:
Okay.... Let me look up how to do this
Which statement describes the graph of function g?
f(x) = 2x
g(x) = 2x + 3
A. The graph of g is 3 units above the graph of f.
B. The graph of gis 3 units to the right of the graph of f.
C. The graph of g is 3 units below the graph of f.
D. The graph of g is 3 units to the left of the graph of f.
Answer: B
Step-by-step explanation: The equation of the line in Slope-intercept form is:
Where "m" is the slope of the line and "b" is the intersection of the line with the y-axis.
For the graph of the line, you can identify that:
And for, you can identify that:
Therefore, you can observe that the slope does not change, but now the line cuts the y-axis at . In other words, it was moved from to (3 units on the y-axis)
Then, it is the graph of translated 3 units upward, which means that the graph of g(x) is 3 units above the graph of f(x).
The graph of g is 3 units above the graph of f(x), the correct option is A.
What is a Graph?The graph is a mathematical representation of the relation between two objects.
It helps in determining the function that fits best for the data obtained.
A function is a mathematical statement that defines a relationship between a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can give as output.
The function f(x) = 2x
g(x) = 2x+3
Both functions are a straight line, an equation of a straight line is given by y =mx +c, m is the slope of the line and c is the y intercept.
In the function f(x), the slope is 2 and the intercept is 0
In the function g(x), the slope is 2 and the intercept is 3.
As the intercept is 3, the g(x) is 3 units above the graph f(x).
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What are the coordinates of 2x-4y=6 and 3x+y=-5 ?
Answer:
The coordinates are x = -1 and y = -2.
Step-by-step explanation:
Given:
Equations are 2x-4y=6 and 3x+y=-5.
Now, to find the coordinates.
[tex]2x-4y=6[/tex]...........(1)
[tex]3x+y=-5[/tex]...........(2)
So, first we solve the equation 1 to get the value of [tex]x[/tex].
[tex]2x-4y=6[/tex]
Subtracting both sides by [tex]-4y[/tex] we get:
[tex]2x=6+4y[/tex]
Dividing both sides by 2 we get:
[tex]x=3+2y[/tex]
Now, we put the value of [tex]x[/tex] in equation 2 to get [tex]y[/tex].
[tex]3x+y=-5[/tex]
[tex]3(3+2y)+y=-5[/tex]
[tex]9+6y+y=-5[/tex]
[tex]9+7y=-5[/tex]
On solving the whole equation we get :
[tex]y=-2[/tex]
And, now putting the value of [tex]y[/tex] in equation (1) we get [tex]x[/tex]:
[tex]2x-4y=6[/tex]
[tex]2x-4(-2)=6[/tex]
[tex]2x+8=6[/tex]
[tex]2x=6-8[/tex]
[tex]2x=-2[/tex]
on solving we get:
[tex]x=-1[/tex]
Therefore, the coordinates are x=-1 and y=-2.
1 Point
Roberto has $37 to buy baseballs for his little league team. Each baseball
costs $7. How many baseballs can he buy? Do not include units in your
answer.
Answer:
he can only buy 5
Step-by-step explanation:
7x5=35
he has 2 bucks left
Answer:
5
Step-by-step explanation:
5 times 7 is 35. 5 times 8 is 40 which is 3 dollars more than he has therefore he can only buy 5.
Amy has 20 quarters.sodas cost $.75 write an expression for how many quarters Amy has left after buying D amount of sodas
The expression x=20-3D will present the amount Amy has left after buying D sodas.
Step-by-step explanation:
Given,
Total amount = 20 quarters
Cost of sodas = $0.75 = 0.75*100 = 75 cents
25 cents = 1 quarter
1 cent = [tex]\frac{1}{25}\ quarter[/tex]
75 cents = [tex]\frac{1}{25}*75[/tex] = 3 quarters
Amount of D sodas = 3D
Let x be the amount left with Amy.
Amount left = total amount - Amount of D sodas
[tex]x=20-3D[/tex]
The expression x=20-3D will present the amount Amy has left after buying D sodas.
Keywords: fractions, subtraction
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Solve x2 - 3x = 28 by factoring.
Answer:
x = -4 or x = 7Step-by-step explanation:
[tex]x^2-3x=28\qquad\text{subtract 28 from both sides}\\\\x^2-3x-28=0\\\\x^2+4x-7x-28=0\qquad\text{distribute}\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\\\x-7=0\qquad\text{add 7 to both sides}\\\boxed{x=7}[/tex]
Answer:
x = -4 or x = 7
-8(4+4n)=8(n+6)
what is the answer for this? please thank you :)
Answer:
n = -2
Step-by-step explanation:
Distribute first.
-32 - 32n = 8n + 48
Subtract 8n.
-32 - 40n = 48
Add 32
-40n = 80
n = -2
Answer: download Photomath is the best!! The answer is n=-2
Step-by-step explanation:
what's y+24 over 4 equals to 8
Answer:
y = 8
Step-by-step explanation:
8 + 24 = 32
32/4 = 8
Answer:
Step-by-step explanation:
y+24/4=8
y+24=8*4
y+24=32
y=32-24
y=8
what does 500+38+2538+48 equal
Sonya makes a pattern of values for x and a pattern of values for y. Which
ordered pair continues the patterns and has an x-value of 6?
Answer:
6,9!
Step-by-step explanation:
Goodluck on your I-Ready!
To find the ordered pair with an x-value of 6, we need to look at the pattern for x and find the corresponding value for y. Using the pattern provided, the ordered pair would be (6, 18).
The problem states that Sonya is making a pattern of values for x and a pattern of values for y. We are asked to find the ordered pair that continues the patterns and has an x-value of 6.
To solve this, we need to look at the pattern for the x-values and find the corresponding value for y. Once we have the y-value, we can form the ordered pair (x, y) with x = 6.
For example, let's say the pattern for x is: 1, 2, 3, 4, 5
And the pattern for y is: 3, 6, 9, 12, 15
In this case, we can see that for x = 6, the corresponding y-value would be 18. So the ordered pair would be (6, 18).
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Help!!!! Plssss!!! ASAP
Answer:
The y-intercept is (0,-26)
Step-by-step explanation:
Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression
[tex]\displaystyle y-b=\frac{d-b}{c-a}(x-a)[/tex]
We'll take the first two points P(34,-52) and Q(51,-65) to find
[tex]y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26[/tex]
Let's verify if the third point is on the line:
[tex]y=-\frac{13}{17}68-26=-52-26=-78[/tex]
It belongs to the line. To find the y-intercept of the line, we set x to 0
[tex]y=-\frac{13}{17}(0)-26=-26[/tex]
The y-intercept is (0,-26)