Answer:
(9,22)
Step-by-step explanation:
1/3 of 9= 3
3+19=22
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.
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:
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.
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]
please help. i would rly appreciate it. :/
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:
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
Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)
Will give brainliest.
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.
The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.
Answer: hey want to talk
Step-by-step explanation:
Constant of proportionality characteristics what are some?
Answer: The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
3x + 7 = - 20 solve this equation
Answer:
3x + 7 = -20
3x = -20-7
3x = -27
3x ÷ 3 = x
- 27 ÷ 3 = -9
x= -9
PLS HELP I REALLY NEED HELP PLS!
When you add 3/10 and 9/10 together, what is the sum? (In lowest terms)
Answer:
1 1/5 or 12/10
Step-by-step explanation:
310+910=?
The two fractions have like denominators so you can add the numerators.
Then:
3+910=1210
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 10 using
GCF(12,10) = 2
12÷210÷2=65
The fraction
65
is the same as
6÷5
Convert to a mixed number using
long division for 6 ÷ 5 = 1R1, so
65=115
Therefore:
310+910=1 1/5
Hope this Helps!
Answer:
1 1/5
Step-by-step explanation:
trust me i did the test and got a passing grade
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
A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?
Answer:
1.8
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
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
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?
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
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
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
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]
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.
About me:
Hi There! I'm so happy I get to be working at Brainly. I feel like this is a great place for everyone to communicate and have fun and learn at the same time. I'm a Teacher and I want to help those students in need. If they ever have a question. I'll be answering some of the questions here at Brainly.com but if I ever don't answer one of you guys questions that would mean I'm not available at this moment. I could show my work to you guys and it could be ANY question(s). I'm so happy to help those students in need. Talk to you lovely students soon. Make sure to add me/request me.
God bless you,
Mr. Otero
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
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
a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line
Answer:
y-intercept = -13
Step-by-step explanation:
So you have to put it in slope-intercept form to solve.
slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.
help please I do not understand but could someone tell me what to do??
Answer:
the answer is 4
Step-by-step explanation:
you plug in the 8 into the y variable. Then you divide 8 by 2. The answer comes out as 4.
10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.
Answer:
a) 0.21078
b) 21.078%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean of 3500 and standard deviation of 300.
a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?
For x = 3200
z = 3200 - 3500/300
z = -1
Probability value from Z-Table:
P(x = 3200) = 0.15866
For x = 3400
z = 3400 - 3500/300
z = -0.33333
Probability value from Z-Table:
P(x = 3400) = 0.36944
The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk
P(x = 3400) - P(x = 3200)
= 0.36944 - 0.15866
= 0.21078
b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?
We convert the answer in part a) to percentage
= 0.21078 × 100
= 21.078%
15 mm 8 mm What is the length of the hypotenuse? c= millimeters?
Answer:
C= 17mm
Step-by-step explanation: