A local grocery store makes a 6-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins cost $3 per pound, the sunflower seeds cost $1 per pound, and the chocolate-covered peanuts cost $1.50 per pound. The mixture calls for twice as many raisins as sunflower seeds. The total cost of the mixture is $11.50. Write a system of equations for the situation and solve for the amount of each item in the trail mix.
Answer:
The mass of sunflower seeds in the mixture is 1-pound
The mass of chocolate-covered peanuts in the mixture is 3-pounds
The mass of raisins in the mixture is 2-pounds
Step-by-step explanation:
The given parameters are;
The cost per pound of raisins = $3
The cost per pound of sunflower seeds = $1
The cost per pound of chocolate-covered peanuts = $1.50
The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture
The total cost of the mixture = $11.50
The mass of the mixture = 6-pounds
Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;
The mass of raisins in the mixture = 2 × x
The system of equation are;
2·x + x + y = 6...(1)
2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)
Simplifying the above two equations give;
For equation (1), we have;
3·x + y = 6...(1)
For equation (2), we have;
7·x + 1.5·y = 11.50...(2)
Making y the subject of both formulas, gives;
For equation (1), we have;
y = 6 - 3·x
For equation (2), we have;
y = 11.50/1.5 - 7/1.5·x
Equating both equations of y, to find the common solution as follows;
6 - 3·x = 11.50/1.5 - 7/1.5·x
7/1.5·x - 3·x = 11.50/1.5 - 6
14/3·x - 3·x = 23/3 - 6
5/3·x = 5/3
x = 3/5 × 5/3 = 1
x = 1
The mass of sunflower seeds in the mixture = x = 1-pound
y = 6 - 3·x = 6 - 3 × 1 = 3
y = 3
-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds
The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.
Will give brainliest.
what's the greatest common factor of 90 and 135
Answer:45
Step-by-step explanation:
the factors for 90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
the factors for 135=1,3,5,9,15,45
the highest numbers that is divide both numbers is 45
3x + 7 = - 20 solve this equation
Answer:
3x + 7 = -20
3x = -20-7
3x = -27
3x ÷ 3 = x
- 27 ÷ 3 = -9
x= -9
estimate 12/26 + 6/11
Answer:
12/26 + 6/11 = 12+6/11 ............
State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.
Answer:
[tex]\boxed {\boxed {\sf Yes}}[/tex]
Step-by-step explanation:
According to the definition of a function, each input must have one output.
The input is x and the output is y. Basically, for every x there can only be one y.
The relation given is:
{ (1,2) , (2,4), (-3,-6), (0,0)}
To check if it's a function, make sure each x only appears once.
The x is the first number in a point.
We see that each x (1,2,-3,0) is only listed once, so this must be a function.
Another way to check is by graphing the points and using the Vertical Line Test.
If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.
The points pass the vertical line test, so this is a function.
I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)
Answer:
x = y
Step-by-step explanation:
Given
2x - y = y ( add y to both sides )
2x = 2y ( divide both sides by 2 )
x = y
I need help with angles
Answer:
<2 is 115 degrees
Step-by-step explanation:
<7 and <6 are vertical angles, <6 and <3 and the same, and <3 and <2 are vertical as well
please give brainliest
Write the equation of the line that goes through (-2, 0) and (4,3).
A.) y=-1/2x
B.) y=1/2x+1
C.) y=2x+1
D.) y=x+1/2
Answer:
B
Step-by-step explanation:
I just put in in the desmos graphing calculator
please help. i would rly appreciate it. :/
Tyler ate x fruit snacks, and Han ate 34 less than that. Write an expression for the number of fruit snacks Han ate.
Answer:
x = -3/4
Step-by-step explanation:
Because you have the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.
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Which is the best description for the graph below?
Answer:
The graph decreases everywhere.
Step-by-step explanation:
you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.
Has this app helped u
Answer:
Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do
Step-by-step explanation: what app and ok
can someone please help me winner gets (Brainllest)
Answer:
For the first one wouldnt it be like:
ht=10(r)+5
Step-by-step explanation:
Susan made $204 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:
156
Step-by-step explanation:
204/7 = 12
12 x 13 = 156
7. Give an example of a real number that is not rational.
Answer:
3.14
Step-by-step explanation:
No estudo da circunferência é muito importante diferenciar diâmetro e raio, muito erros são cometidos pela troca desses conceitos e consequentemente a troca de seus valores. A medida do comprimento de uma circunferência é determinada pela fórmula C = 2 π. R , ou seja comprimento da circunferência é igual ao dobro do valor do π multiplicado pelo valor do raio dessa circunferência. Calcule qual a medida em cm de uma circunferência: a) cujo diâmetro mede 10 cm. b) cujo raio mede 12 cm. c) cujo diâmetro mede 2 cm. d) cujo raio mede 5 cm.
Explicação passo a passo:
A circunferência de um círculo é expressa como mostrado;
C = 2πR
R é o raio
Em termos de diâmetro;
C = πD
D é o diâmetro
a) Se o diâmetro for 10cm
Circunferência C = π (10)
C = 10 (3,14)
C = 31,4cm
b) Se o raio for 12cm
C = 2πR
C = 2π (12)
C = 24π
C = 24 (3,14)
C = 74,36cm
c) Se o diâmetro for 2cm
Circunferência C = π (2)
C = 2 (3,14)
C = 6,28cm
d) Se o raio for 5cm
C = 2πR
C = 2π (5)
C = 10π
C = 10 (3,14)
C = 31,4cm
Evaluate the expression for f = 20.
122 - 2f
A. 82
B. 100
C. 140
D. 2400
SHOW YOUR WORK PLZSSSSS
[tex]\textsf{122 - 2(20)} \\ \mathsf{2(20) = 40} \\ \mathsf{122 - 40 = answer} \\ \uparrow \mathsf{solve \: above \: and \: you \: have \: your \: answer} \\ \mathsf{122 - 40 = \bf82} \\ \\ \boxed{ \mathsf{your \: answer: \boxed{ \bf 82}}} \checkmark[/tex]
Good luck on your assignment and enjoy your day!~
[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Holly's checking account has a dollar balance. Emily's checking account has a dollar balance. Which of the following is true about their account balances?
A.
Holly's account balance > Emily's account balance
B.
Holly's account balance < Emily's account balance
C.
Holly's account balance = Emily's account balance
Answer:
C
Step-by-step explanation:
Both Holly and Emily have the same account balance thus it is equal to
Answer:
Dont listen to the person its actually B
Step-by-step explanation:
On a number line, smaller numbers are to the left of larger numbers.
Negative values are always less than positive values.
So, the following is true.
Holly's account balance < Emily's account balance
4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):
if the bank charges 5.3% interest each year?
Answer:
the balance of the loan be after one year is $7897.5.
Step-by-step explanation:
Richard is riding in a hot air balloon. The hot air balloon rises 200 feet in 50
seconds.
If the hot air balloon rises at the same rate each second, what is the hot air balloon’s rate per second?
200
feet per second
4
feet per second
4 feet per second
−4
feet per second
negative 4 feet per second
−200
feet per second
Answer:
4 ft per second
Step-by-step explanation:
We are given that it takes 50 seconds to go 200 feet
in order to find the ft/second, we divide by 50
50/50=1
200/50=4
so 4 ft/ 1 second
A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?
Answer:
mwe.n pa konen men tenyen ooooo
Given p(x)=2x^3-3x-5 what is the value of p (-2)
Answer:
The value of p(x) at -2 is:
[tex]p(-2) = -15[/tex]
Step-by-step explanation:
Given polynomials is:
[tex]p(x) = 2x^3-3x-5[/tex]
We have to find p(-2)
This means that we have to find the value of the polynomial at -2. Finding value of a polynomial at a certain number is done by putting the number in the polynomial in place of variable. So putting x = -2
[tex]p(-2) = 2(-2)^3-3(-2)-5\\= 2(-8)+6-5\\= -16+1\\=-15[/tex]
Hence,
The value of p(x) at -2 is:
[tex]p(-2) = -15[/tex]
what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number
nearest is 3.2 that is with whole bumber
Which is an example of quantitative data?
A the number of textbooks in a classroom
B. the condition of the textbooks in a classroom
C. the ID numbers of the textbooks in a classroom
D. the colors of the textbooks in a classroom
Answer:
A. the number of textbooks in a classroom
Step-by-step explanation:
quantitative data is information about quantities; that is, information that can be measured and written down with numbers.
Fifth-grade students plant a class garden. They plant 7 1/6 rows of tomatoes and 3 1/2 rows of carrots. How many fewer rows of carrots than rows of tomatoes do the students plant?
Answer:
3 2/3
Step-by-step explanation:
7 1/6 - 3 1/2= 3 2/3
15 mm 8 mm What is the length of the hypotenuse? c= millimeters?
Answer:
C= 17mm
Step-by-step explanation:
Is every relation also a function? Explain
Answer:
no
Step-by-step explanation:
they are not
Answer:
Step-by-step explanation:
In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.
Mr. Gaines ordered 1,320 pencils for the beginning of the school year. He is going to divide the pencils into five equal groups to give to each grade level. How many pencils will each grade level receive?