A mixed nuts factory makes a 10 pound mixture of almonds, walnuts, and
cashews. Almonds cost $1.25 per pound, walnuts cost $2.75 per pound,
and cashews cost $3.15 per pound. The mixture calls for twice as many
almonds as walnuts. The total cost of the mixture is $18.90. How much of
each ingredient did the store use?
This is a System of equations problem
Answers
Answer
x+y+z=10
1.25x+2.75x+3.15x+18.90
x=2z
Step-by-step explanation:
x=almonds
y=walnuts
z=cashews
9514 1404 393
Answer:
6 pounds almonds3 pounds walnuts1 pound cashewsStep-by-step explanation:
We can let a, w, c represent pounds of almonds, walnuts, and cashews, respectively. Then the given relations are ...
a +w +c = 10 . . . . . total pounds of nut mix
a = 2w . . . . . . . . . twice as many almonds as walnuts
1.25a +2.75w +3.15c = 18.90 . . . . total cost of the mix
__
Solving the system of equations can proceed by any of the methods you have learned for systems of two equations in two unknowns. Substitution, elimination, and matrix methods all work. Graphing methods are also available.
We can easily reduce this system to two equations in two unknowns by using the second equation to substitute for 'a'.
2w +w +c = 10 ⇒ 3w +c = 10
1.25(2w) +2.75w +3.15c = 18.90 ⇒ 5.25w +3.15c = 18.90
Solving the first of these equations for c, then substituting into the second of these equations gives ...
c = 10 -3w
5.25w +3.15(10 -3w) = 18.90
-4.20w +31.50 = 18.90 . . . . simplify
12.60 = 4.20w . . . . . . . . . . . add 4.20w -18.90
3 = w . . . . . . . . . . . . . . . . . . . divide by 4.20
c = 10 -3(3) = 1 . . . . . . . . . . . use the expression for c
a = 2(3) = 6 . . . . . . . . . . . . . use the expression for a
The nut mix used 6 pounds of almonds, 3 pounds of walnuts, and 1 pound of cashews.
_____
Additional comment
The attached graph shows one way to obtain a graphical solution. The first and third equations were solved for c, and those expressions were set equal to obtain the graph for the red line. The blue line is the second equation. Here, we have used (x, y) for (a, w). The solution for these variables is (a, w) = (6, 3). Using the first expression for c gives c = 10 -(6+3) = 1. This is the same solution as above.
Related Questions
Guys i need help evaluating this number, please help
Answers
Answer:
[tex] {12}^{2} - 3(4( \frac{1}{4} ) - ( {1}^{8} )) \\ = 144 - 3(1 - 1) = 144[/tex]
Answer:
144
Step-by-step explanation:
4(1/4) = 1
1^8 = 1
[1-1]= 0
3*0 = 0
12^2= 144
144-0= 144
How to convert 2 and 4/5 into an improper fraction
Answers
Answer:
Step-by-step explanation:
2 = 4/2 . 4/5 can not be a improper fraction
PLEASE HELP! I don’t know how to do this.
Answers
9514 1404 393
Answer:
(A, B, C) = (2, 5, 2)
Step-by-step explanation:
Undo the square operation by taking the square root. Both the positive and negative square roots are solutions to the equation.
[tex]c -2 = \pm\sqrt{50}[/tex]
Add 2 to both sides of the equation:
[tex]c = 2\pm\sqrt{50}[/tex]
Simplify the square root:
[tex]c=2\pm\sqrt{25\cdot2}=2\pm\sqrt{25}\cdot\sqrt{2}\\\\\boxed{c=2\pm5\sqrt{2}}\qquad\text{A=2, B=5, C=2}[/tex]
_____
Additional comment
Square roots are simplified by factoring out the factors that are perfect squares.
what is the product of - 4 and 9? show your work using numerical property
Answers
Answer:
36
Step-by-step explanation:
um here
9 x 4 = 36
hope it helps :D
Help me please help me help help me
Answers
Answer:
B
Step-by-step explanation:
2x6=12+1=13
4x6=24+1=25
2×x=2x+1=(2x+1)
Sam bowled three games with scores of 210, 185, and 190. He needs to have a four-game average of 205 to qualify for an elite bowling league. What score does he have to bowl on the fourth game to have the average of 205 that he needs?
Answers
Answer: 235
Step-by-step explanation:
Total score if he average 205 = 205 * 4 = 820
Score needed on 4th game = 820 - 210 -185 - 190 = 235
If Sergio does a job in 11 hours and with the help of Chloe they can do it together in 5 hours, how long would it take Chloe to do it alone?
Answers
Answer:
6 hours
Step-by-step explanation:
11 minus 5 is 6 hours.
Answer:
Here’s your answer!
Step-by-step explanation:
Division problem: 2.2 hours ( 11 divided by 5)
Subtraction problem: 6 hours ( 11 - 5)
Hope this helped
Plz mark Brainliest
Dont forget to smash that heart at the bottom <3
Have a great day!
Jason biked 18 miles during 1.5 hours. How far would he bike in 2 hours maintaining the same speed.
Answers
Answer:
18.5
Step-by-step explanation:
1.5 plus 0.5 equals 2 hours so i added 18 plus 0.5 which equals 18.5 if correct please mark me brainlist if you want if not correct am very sorry. This is what i got.
Solve for w
Please help :)
THANK U
Answers
Answer:
w=12
Step-by-step explanation:
[tex]5=\frac{w}{-4} +8\\\\-3=\frac{w}{-4}\\12=w[/tex]
Answer:
12
If you ever have a problem like that, just search for it on the internet. It will give you the answer so you don't have to waist your points on here.
(I hope that didn't sound mean :)
Hi, is this correct?
Answers
Answer:
I think it's actually 3 ÷ 4 because there are 4 little segments that are equally divided amongst the 3 groups.
Step-by-step explanation:
Hope this helped :)
HELPPPPP Find all the side angles.
Answers
Answer:
28, 3x 8
Step-by-step explanation:
Kim bought a $2,310.25 snow thrower on an installment plan. The installment agreement
included a 15% down payment and 24 monthly payments of $125 each. What is the total
finance charge?
O d) $1,036.29
O c) $346.54
O a) $3,346.54
Ob) $3,000
Answers
acorrding to its packaging, the circular base of desk lamp has a circumference of 18.84 inchesm What is the lamp bases diameter?
use 3.14 for pi.
PLEASE HELPP
Answers
——————————————————————
To solve for the diameter of a circle, we start off with the circumference formula because it contains the information we need to Algebraically solve for the Diameter.
Circumference Formula:
C = π • 2(r) or C = π • D, since the Diameter of a circle is 2 times the radius.
We will use the C = π • D formula because it contains the term for Diameter with pi, so we have the proper information to solve for D.
Algebraic Proof:
C = (3.14) • D [Circumference Formula with 3.14 approximate to pi]
(18.85) = (3.14) • D [Given information]
(18.85) / 3.14 = (3.14) • D / 3.14 [Division Property of Equality]
6.003 = D [Division]
D = 6.003 [Symmetric Property of Equality]
Therefore, the Diameter = 6.003 in
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges.
Write an equation to determine the initial number of orange trees (t)(t)left parenthesis, t, right parenthesis on MacDonald's farm.
Answers
Answer: t = (total harvest/ harvest per tree) + number of trees removed
Step-by-step explanation:
total harvest/ harvest per tree will give the number of trees on the farm.
Commission A sales associate in a jewelry store earns $450 each week, plus a commission equal to 6% of her
sales. This week her goal is to earn at least $600. How much must the associate sell in order to reach her goal?
1. Write an expression to represent how much a sales associate earns each week. Remember to define your variable.
2. How much does she want to earn this week?
3. Should you use an equation or an inequality to compare the amount the sales associate earns and her goal?
Explain.
4. What inequality can you use to find how much the associate must sell in order to reach her goal?
5.
Solve the inequality. Show your work.
Answers
Penny reads 10 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page?
Answers
it would probably be 7, since 1 hour and 30 minutes would be 90 minutes, and she read 10 pages in that long, it would most likely be one page every 10 minutes, but since she read 10 in 90 minutes and not 9, I believe we would add 1 extra page to the amount she read in one hour, and since one hour is 60 minutes, it would probably be 6 + 1, which is 7.
hopefully Im right and this was helpful.
What is the sum of 1 and 2?
Answers
Answer:
3
Step-by-step explanation:
[tex]1 + 2 = 3[/tex]
answer= 3
100 + 234 -71 - 8 + 1
Answers
Answer:
334-78
256 is the answer
What is the slope-intercept form for 3x-y=9
Answers
The attached picture is the answer. Hope it helps!!!
move 3x over
-y= -3x+9
divide both sides by -1 to make y positive
your answer should be y=3x-9
This square potholder has a side of 8 inches. What is its area?
Answers
Answer:
64 i[tex]n^2\\[/tex]
Step-by-step explanation:
ok so first the shape is a square which means all sides are the same length so
8*8 = 64
Have a nice day! :-)
Okay okay I just think it’s alright
Convert to - 5/8 to its decimal form using long division. If your answer is a repeating decimal, make sure your decimal goes 5 place values after the decimal or the sequence of numbers that repeat if it is more that five decimal places after the decimal. *
Answers
Answer: 5/8 as a decimal is expressed as 0.625.
Hope it helps!
What is the width of a rectangular prism with a length of 24 inches and height of 10 inches and a volume of 2880 cubic inches?
Answers
Answer:
12
Step-by-step explanation:
you reverse the operations, you multiply LxWxH to get the volume, so you can do V/L/H to get the width. 2880 divided by 24 equals 120, and 120 divided by 10 equals 12, so therefore the width is 12. Hope this helps!
What does 11x11-6x6+18=
Answers
Answer:
103
Step-by-step explanation:
Hope this Helps :)
What quadrant will (-8,6) Lie on?
Answers
Answer:
Quadrant ||
Step-by-step explanation:
Look at the png below it may help you.
Choose the number sentence that illustrates the distributive property of multiplication over additional
Answers
Answer: A
Step-by-step explanation:
It distributed into 5x 4 and 5 x 9. Lemme get brainliest
Answer:
A
Step-by-step explanation:
Solve 2 s^3 − 4r^ 2 if r = 1 and s = 5 . step by step
Answers
Answer:
246
Step-by-step explanation:
2(5)^3 - 4(1)^2
250 - 4
246
What is one set of values for A and B that will make the equation below true? (A × 10 3 ) = 6.572
Answers
Answer:
?
Step-by-step explanation:
HELP! Solve
-1
------d =12
3
The 1/3 is a fraction
Answers
Step-by-step explanation:
yes 1 / 3..it is a fraction
A bookstore orders a shipment of books. The books weigh 3.2 lb each. How much will the shipment of 100 books weigh? Write your answer in scientific notation.
Answers
Answer:
3.2 × 10²
im not really good at this but hope it helps.
PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER
Answers
please mark this answer as brainlist