Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.
Step-by-step explanation:
Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.
Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.
The total pounds of both candies in the mixture is 15. It means that
x + y = 15
Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)
The equation would be
1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
1.8(15 - y) + 3y = 1.95(15 - y + y)
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 + 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
x = 15 - y = 15 - 1.88
x = 15 - 1.88 = 13.12
Answer:
the grocer should mix approximately 13.12 pounds of 1st candy.
the grocer should mix approximately 1.88 pounds of 2nd candy.
Step-by-step explanation:
From the given information.
let x represent the pounds of the first candy and y represent the pound of the second candy
We are being told that the grocer wants to sell a total of 15 pounds,
so;
[tex]x+y = 15 \\ \\x= 15-y[/tex] ----- (1)
also; we are being informed that one kind sells for $1.80 per pound, and the other sells for $3.00 per pound. and he wants to mix a total of 15 pounds and sell it for $1.95 per pound.
So;
[tex]1.80 x + 3y = 15(1.95)[/tex]
[tex]1.80x + 3y = 29.25[/tex] ------(2)
Replacing equation (1) into 2 ; we have :
1.8(15 - y) + 3y = 29.25
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 - 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
Therefore, the grocer should mix approximately 1.88 pounds of 2nd candy.
Replacing the value of y into equation (1)
x = 15 - y
x= 15 - 1.88
x = 13.12
Therefore, the grocer should mix approximately 13.12 pounds of 1st candy.
Write the following inequalities in slope interact form -12x-2y> -42
Answer:
y < -6x+21
Step-by-step explanation:
-12x-2y> -42
Add 12 x to each side
-12x+12x-2y>12x -42
-2y > 12x-42
Divide by -2 remembering to flip the inequality
-2y/-2 < 12x/-2 -42/-2
y < -6x+21
This is in slope intercept form
will award most brainliest need help pls (due today)
Answer:
m∠A = 24°
Step-by-step explanation:
m∠A = m∠B
3x-12 = 2x
-2x. -2x
x-12 = 0
x = 12
3(12)-12 = 24
2(12) = 24
11 (12) = 132
132 + 24 +24 = 180
Simplify 16-3(8-3)2÷5
Answer:
10/1 = 10
Step-by-step explanation:
1) Subtract: 8 - 3 = 5
2) Multiple: 3 * the result of step No. 1 = 3 * 5 = 15
3) Multiple: the result of step No. 2 * 2 = 15 * 2 = 30
4) Divide: the result of step No. 3 : 5 = 30 : 5 = 6
5) Subtract: 16 - the result of step No. 4 = 16 - 6 = 10
What is the scale factor of this dilation?
5
В
3
e
3
A
5
Answer:
A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Please help! Correct answer only please! I need to finish this assignment by today.
You spin the spinner once.
What is P(factor of 6)?
Write your answer as a percentage.
___%
Answer:
100%
Step-by-step explanation:
The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!
Answer:
100%
Step-by-step explanation:
I just took the test on edgenity
Why does no one answer my questions in Brainly? If you're good at math, please look at my recent questions and answer them if you know it. Now, below is one of the questions that I am struggling with. Please help!
Answer:
1st one: 7920 second: 792
Step-by-step explanation:
First way: you can use a calculator and plug in the values
Second way: you can use the formula for combination and permutation.
Permutation: 11!/ (11-4)!
Combination:12!/(12-5)!*5!
NOTE THAT: 5!= 5*4*3*2*1
PLEASE HELP MEEEE ill mark brilliance!!!!
Answer:
0.50
Step-by-step explanation:
The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.
Catherine reflected the triangle across the x axis. What is the new
triangle?
Answer:
C. (or the third graph)
Step-by-step explanation:
Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.
7
tan(60) = h/40
h = 40 x tan(60)
h = 40√3
cos(60) = 40/r
r = 40/cos(60)
r = 80
8.
tan(60) = p/82
p = 82 x tan(60)
p = 82√3
cos(60) = 82/t
t = 82/cos(60)
t = 164
9.
tan(60) = 22√3 /x
x = 22√3 /tan(60)
x = 22
sin(60) = 22√3 /k
k = 22√3 / sin(60)
k = (20/3)√3
U.U AYUDa porfis porfis t.t
Answer: a+b = 12
Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto
a+2 = 2(3)
a=4
10 = 2(b-3)
b=8
Luego a+b = 12
HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. Obtuse
Step-by-step explanation:
Supplementary Angles: either of two angles whose sum is 180°
Adjacent: have a common side, a common vertex, and don't overlap
!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expression on the right of the sum of cubes identity. CLIP IN QUESTION
Answer:
(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Step-by-step explanation:
A sum of cubes is factored in general as
a³ + b³ = (a + b)(a² - ab + b²) , thus
8[tex]x^{6}[/tex] + 27y³
= (2x²)³ + (3y)³ with a = 2x² and b = 3y
= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)
= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Answer: Edmentum/plato
Step-by-step explanation:
which expression is equivalent
Answer:
a^9*b^6
Step-by-step explanation:
a^(-8) b 1 1
-------- = a^(-3), and ----------- = --------- Their product is --------------
a^(-5) b^(3) b^2 a ^3*b^2
This is the algebraic expression inside the parentheses. We must now take
the negative 3rd power of this result.
(a^3*b^2)^3 = a^9*b^6
what are solutions for |x+4|=3x-5
Answer:
Step-by-step explanation:
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)
Answer:
a
Step-by-step explanation:
The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope of the equation is 3. Then the equation of the line is given as,
y = 3x + c
The equation of the line is passing through the point (-3,-5), then the equation of line will be
y = 3x + c
–5 = 3(–3) + c
–5 = –9 + c
c = 9 – 5
c = 4
Then the equation of the line will be
y = 3x + 4
Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.
Then the correct option is A.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ5
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!!
Answer:
So since the ball is at x=0 at the end.
We plug in it.
h(x) = 16 if you simplify it
A. - 8/5
B. 5/8
C. - 5/8
D. 8/5
Answer:
5/8
Step-by-step explanation:
To find the slope, use the formula
m = (y2-y1)/(x2-x1)
= (2 - -3)/(6 - -2)
= (2+3)/(6+2)
= 5/8
Answer:
B
Step-by-step explanation:
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me
The calculation 18/6=108 is not the right representation.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: One of the option as 18/6=108
But in the question Jenna buys 6 new shirts at $18
Thus the total cost of the shirts is 18*6=108
But 18/6=3
Thus this expression is not the right calculation.
Hence, The 18/6=108 is not the right representation.
Learn more about BODMAS rule here:
https://brainly.com/question/29795897
#SPJ2
Evaluate the following expression
(-3)-2
Answer: 2+3
Step-by-step explanation:
Answer:
Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.
In this case, -3 and -2 are integers that are being added.
if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change
thus, (-3)-2 = -5
G(x)=-2x-9 what is g(-7)
Answer:
g(-7)=5
Step-by-step explanation:
-2(-7)-9
14-9=5
Answer:
5
Step-by-step explanation:
G(x)=-2x-9
Let x = -7
g(-7) = -2(-7) -9
= 14 - 9
= 5
Use the quadratic formula to find the solution to the quadratic equation below pt2
Answer:
x=3/2
Step-by-step explanation:
There is only one solution.
Answer: x=3/2
Step-by-step explanation:
There are 650 toothpicks in a regular-sized box. If a jumbo box is made by tripling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answer: 1950 is how many it will hold.
Step-by-step explanation:
100 + x = 50 ( find x)
Just subtract 100 - 50 and you get x = 50
Answer:
x = 50
Step-by-step explanation:
100 -50 = 50
50+50=100
Have a wonderful day and stay safe!
solve the equation
x^2 + 4x - 7
By completing the square
give answer correct to two decimal places.
( p.s the answer is not -5.32 or 1.32 )
Answer:
x = 1.32, -5.32
Step-by-step explanation:
x^2 + 4x - 7
Set equal to zero
x^2 + 4x - 7 =0
Add 7 to each side
x^2 + 4x =7
Take the coefficient of x and divide by 2
4/2
Square it
2^2 =4
Add to each side
x^2+4x+4 = 7+4
(x+2)^2 = 11
Take the square root of each side
x+2 = ±sqrt(11)
Subtract 2 from each side
x = -2 ±sqrt(11)
x=1.31662
x=-5.31662
To 2 decimal places
x = 1.32, -5.32
Malik’s solution to the equation , when , is shown below.
Question: What is the Question?
How do you go from 98 to 720 using just one letter?
RIDDLE...
Answer:
Add an "x" between "ninety" and "eight". Ninety x Eight = 720.
90 x 8 = 720
Solve the equation.
2/3-4x+7/2=-9x+5/6
Answer:
x=-2/3
Step-by-step explanation:
Answer:
x = -2/3
Step-by-step explanation:
don't feel like writing all the fractions but basically isolate the X and the fractions. add them in a calculator divide by the coefficient thats left with x and there you go
Which relationship describes angles 1 and 2?
Select each correct answer.
complementary angles
supplementary angles
vertical angles
adjacent angles
as an estimation we are told 5 miles is 8km. Convert 84 km to miles
Answer:
52.195 miles
Step-by-step explanation:
84 km to miles is 52.195 miles
