What is the solution to the system of equations?
{x=2y+3
{4x-5y=9
Answers
Answer:
(1,-1)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).
Related Questions
A bag contains three blue marbles, five red marbles, and four green marbles.
Part A: What is the probability of selecting a red marble?
Part B: What is the probability of selecting three red marbles without replacement?
Part C: In a short paragraph, explain in your own words your work to Step B
Answers
Answer:
Below.
Step-by-step explanation:
The total number of marbles is 12.
Part A.
Prob(Red marble) = 5/12.
Part B.
Prob(pick 3 red marbles without replacement) = 5/12 * 4/11 * 3/10 = 1/22.
Part C.
The probability of the first being red is 5/12 because there are 5 red out of a total of 12 marbles. After that there are only 4 marbles and the total is 11 ( 1 marble less). Finally on the 3rd pick there are 3 red and a total of 10. WE then multiply these 3 probabilities.
Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.
Answers
Answer:
[tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]
Vertex: (1, -9)
I need helpppppp!!!!
Answers
Answer: I believe yes
Step-by-step explanation:
Im sorry if this isn’t right but I believe it is
Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.
Answers
Add 6 to both sides
6x=60
Divide 6 into 60
X=10
Be the first to answer this:)
Answers
Answer:
53 1/3 yards
Step-by-step explanation:
When you solve for area you multiply width times length so here we would divide.
6400 ÷ 120 = 53 1/3 yards
Hope that helps and have a great day!
The circumferences of earth is about 25,000 miles which is the circumference written in scientific notation
Answers
Answer:
2.5*10^4
I hope this helps
Answer:
2.5 x 10^4
this is a filler. I hope this helps though :)))))
What Is the value of p? 33°
Answers
Answer:
90 - 33 = 57 57is the answer
Step-by-step explanation:
Answer:
p=57 degrees
Step-by-step explanation:
P and 33 are complementary we know this because of the right angle so set up this equation:
90=angle + angle
sub in the numbers
90=33+P
Substract both sides by 33 to get p alone.
p=57
Find the value of w. (5w+3)
Answers
5w+3 = 0
5w = -3 <- subtract 3 from both sides
w = -3/5 <- divide 5 from both sides
w = -3/5 is your final answer!
hope this helps
The solution is: in the expression (5w+3) the value of w is: w = -3/5.
Here, we have,
given that,
the expression is: (5w+3)
now, we have to find the value of w
so, we get,
we can find the value of w by making it equal to 0:
5w+3 = 0
<- subtract 3 from both sides
5w = -3
<- divide 5 from both sides
5w/5 = -3/5
so, we have,
w = -3/5 is the final answer.
Hence, The solution is: in the expression (5w+3) the value of w is: w = -3/5.
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The question is below answer please
Answers
2. 10
3. 14
4. 7
5. 13
6. 6
7. 4
8. 22
9. 29
10. 36
You just have to cross multiply and then divide it by 100
y=(-6)3x-8=
what is the answer
Answers
Answer:
8
Step-by-step explanation:
Is this set of ordered pairs a function?
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }
Answers
Answer:
no it is not a function
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
(0,2) and (2,2) have the same y value.
1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer
recipes during each week of school. Write an equation that shows the relationship between the number of
weeks and the number of appetizer recipes.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the number of appetizer recipes she will learn
during school
(c) Solve your linear equation to determine the number of recipes that Tara will know after 18 weeks in
school
(d) Explain your answer to Part 1c.
Answer:
Answers
Answer:
(a) The dependent variable = The total number of new appetizer recipe Tara knows = y
The dependent variable = The total number of new appetizer recipe Tara learns = A
The independent variable = Number of weeks she is in school = x
(b) A = 3 × x
(c) 58 recipes
(d) The total number of recipes Tara knows after 18 weeks = The new recipes she learns during the 18 weeks of school + The number of recipes Tara already knew
Step-by-step explanation:
The given parameters are;
The number of appetizer recipes Tara already knew = 4
The number of new appetizer recipe she will learn each week of school = 3
(a) The dependent variable = The total number of new appetizer recipe Tara knows = y
The dependent variable = The total number of new appetizer recipe Tara learns = A
The independent variable = Number of weeks she is in school = x
The added constant term = The number of appetizer recipes Tara already knew = 4
(b) The equation for the number of appetizer, A, she will learn during school is give as follows;
The number of new appetizer recipe Tara learns in school = 3 × Number of weeks she is in school +
A = 3 × x
(c) The total number of recipes, y, that Tara will knows after 18 weeks in school is therefore;
y = A(18) + The number of appetizer recipes Tara already knew
A(18) = 3 × 18 = 54
y = 54 + 4 = 58 recipes
(d) The total number of recipes Tara knows after 18 weeks is the sum of the new recipes she learns during the 18 weeks of school and the number of recipes Tara already knew.
Select all the equations that have the same solution as 2x-5=15.
Answers
Step-by-step explanation:
2x =15+5
2x =20
Divide by 2
X=10
Answer:
D, E
Step-by-step explanation:
2x-5=15,x=10
2x=20, x=5
2(x-5)=15, x=25/2
2x-20=0, X=10
4x-10=30, X=10
15=5-2x, X= -5
−4 + [12 × (−8)] – 62
Answers
Answer:
-162
Step-by-step explanation:
that the answer
Answer:
-162
Step-by-step explanation:
Multiply: −4 + [12 × (−8)] – 62
Remover parentheses: -4 + (-96) – 62
Calculate sum: -4 – 96 – 62
A local farm has a 0.75 acre field that was planted with 26,100 corn plants. one acre is equivalent to 43,500 square feet.
Assuming the same planting density, how many corn plants could they plant on a field with an area of 80,000 square feet?
The options are:
A. 34,800
B. 48,000
C. 60,000
D. 64,000
E. 100,000
(Please answer this as fast as possible)
Answers
Answer:
D
Step-by-step explanation:
So first what you want to do is find how many acres you're working with. Since you know that one acre is 43,500 square feet, you can find the number of acres you're working with by dividing 80,000 theoretical square feet by your given conversion:
80,000/43,500 is 1.83908045977
After this what you want to do is divide the theoretical acres by the conversion that was given to you in the problem:
1.83908045977/.075 is 2.45210727969
Now that you have this number, you would multiply the number of corn plants that you have in order to get the theoretical number of plants that you could plant on an area of that theoretical size of 80,000 square feet:
2.45210727969 times 26,100 is 64,000 even.
The number of corn plants that could be planted on 80,000 square feet is : 64000.
What is an acre?An acre is a unit for expressing the area of big shapes and objects like fields, farm lands.
Analysis:
If 1 acre is equivalent to 43500square feet, then 0.75 acre would be
0.75 x 43500 = 32625 square feet.
If 325625 square feet produce 26,100 corn plants , then 80,000 square feet would produce : [tex]\frac{80000 x 26100}{32625}[/tex] = 64000 corn plants.
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On a farm, there are 3 goats to every 7 chickens. If the
re are 50 animals on the farm, how many are goats?
How many are chickens?
Answers
Answer:
There are 35 chickens
Step-by-step explanation:
goats : chickens: total
3 7 3+7 = 10
There are 50 animals
50/10 = 5
Multiply each number by 5
goats : chickens: total
3*5 7 *5 10*5
15 35 50
There are 35 chickens
Answer:
15 goats and 35 chickens
Step-by-step explanation:
goats to chickens - 3:7
3:7
3+7=10
50/10=5
3*5:7*5
15:35
David begins the summer with a savings of $54.00 more than Fatima. David’s job
pays $8.25 per hour. Fatima’s job pays $9.75. If they both work the same amount of
time each day, how many hours of work will it take David to have as much money as
Fatima? Write an inequality and then solve.
Answers
Answer:
36 hours (1 1/2 days, 351$ )
Step-by-step explanation:
create a linear system and solve.
8.25x + 54 = 9.75x
_______________
-8.25x -8.25x
_______________
54 = 1.5x
_______________
1.5 x = 54
_______________
÷ 1.5. ÷1.5
_______________
x = 36.
if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation
x = 36 -> 8.25(x) + 54 = 9.75(x)
8.25(36) + 54 = 9.75(36)
297 + 54 = 351
351 = 351
________________________________
David's budget >= 54$
Fatima's budget >= 0$
The required inequality is 8.25x + 54 = 9.75x
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
Collect like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Hence, it will take 36 hours for David to have as much as Fatima.
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True or False: The following two systems of equations are equivalent:
6d + 4.5e = 16.5
5d + 0.5e = 4
and
30d + 22.5e = 82.5
5d + 0.5e = 4
O True
O False
Answers
Answer:
True.. :) Have a nice day.
Step-by-step explanation:
TRUE , the two system of equations are equivalent
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
We have two sets of equations
Let the first set of equation be A
Let the second set of equation be B
Equation set A :
6d + 4.5e = 16.5 be equation (1)
5d + 0.5e = 4 be equation (2)
Equation set B :
30d + 22.5e = 82.5 be equation (3)
5d + 0.5e = 4 be equation (4)
Now , we can see that Equation (3) is a multiple of Equation (1)
Multiply equation (1) by 5 , we get
5 ( 6d + 4.5e = 16.5 )
30d + 22.5e = 82.5 be equation (5)
Therefore , equation (5) = equation (3)
So , equation (1) = equation (3)
And , equation (2) = equation (4)
Therefore , Equation set A is equivalent to Equation set B
Hence , the two system of equations are equivalent
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Solve for x 5x + 12 = 52
Answers
Answer:
x=8
Step-by-step explanation:
5x + 12 = 52
5x = 52 - 12
5x = 40
x = 8
hey buddy!!
here is your answer!
Answer:
8
Step-by-step explanation:
5x + 12 = 52
5x = 52-12
5x = 40
x = 40/5
x = 8
hope you understood!
A sports arena posted ticket prices for five different sporting
events. A service charge is collected for each ticket
purchased. The table shows the ticket price, c, of each of the
different sporting events.
Ticket Price,
$47 $54 $62 $79 $116
Cost Including Service Charge $60 $67 $75 $92 $129
Which expression can be used to find the total cost of each
sporting event ticket including the service charge?
Answers
Answer:13
Step-by-step explanation:
2/5=x/65 solve for x
A: x=1/26
B: x=16
C: x=28
D: x=26
please help me
Answers
Answer:
Solve : -x+26 = 0
Subtract 26 from both sides of the equation :
-x = -26
Multiply both sides of the equation by (-1) : x = 26
[tex] \frac{2}{5} = \frac{x}{65} [/tex]
[tex]2 \times 65 = 5 \times x[/tex]
[tex]130 = 5x[/tex]
[tex]x = \frac{130}{5} [/tex]
[tex] \color{hotpink}x = 26[/tex]
Therefore , the correct option is :-
[tex]\color{plum}D) \: x = 26[/tex]
Andrea is a personal chef, who charges $110 per four-person meal; her monthly expenses are $2900
How many four-person meals must she sell in order to make a profit of at least $2400?
Answers
Answer:21.8
Step-by-step explanation:2400 divided by 110 equals 21.8
in a complete sentence describe how much smaller the 3 in 743,857 is than the 3 in 735,957
Answers
Answer:
The 3 in 743,857 is 27,000 less than the 3 in 735,957.
Step-by-step explanation:
in 743,857 the 3 is 3,000
in 735,957 the 3 is 30,000
30,000 - 3,000 = 27,000
graph the equation y = {x-5
5 ?
Answers
WHAT MOVIE HAS 7 THEATRICAL REALESES
Answers
Answer:
The meaning theatrical releases means the date a new movie is entered into the theater distribution system for public viewing. Alternate formats of the movie, such as DVDs, Blu-ray discs and video-on-demand, are scheduled for distribution a set number of weeks or months after the theatrical release. See video-on-demand. So if that is what it means then the movie i think that has 7 theatrical releases is the new movie "Mulan" because the people started making the movie on March 9th, 2020 and released the movie on September 4th, 2020. If i am incorrect i apologize
Hope this helps, have a great day and stay safe! :))))))))))))))
Finding the Area of a Triangle
Answers
Answer: 1, 3, 6
Step-by-step explanation:
bruh someone helpp ffs
Answers
Answer:
Step-by-step explanation:
B ruh????????
A. artists
B. brushes
C. paintings
D. hours
Answers
Answer:hours
Step-by-step explanation:
Pweasseeee help meh (7th grade math work) will mark as Brainliest :3
Answers
Answer:
x = 52.5 cmStep-by-step explanation:
this is called a ratio and proportion or similar triangles
21 = 35
31.5 x
do cross multiply:
21 x = 31.5 (35)
x = 1102.5 / 21
x = 52.5 cm
De Shawn pays 8.16 for 12 pounds of sugar.what is the price per pound of sugar
Answers
Answer:
$0.68 per pound
Step-by-step explanation:
The price of sugar is $0.68 per pound.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, the person paid $8.16 for 12 pounds of sugar.
Therefore, mathematically it can be written as:
12 pounds of sugar = $8.16
1 pound of sugar = $(8.16/12)
1 pound of sugar = $0.68
Hence, the price of sugar is $0.68 per pound.
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