A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?

Answers

Answer 1

Answer:

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Step-by-step explanation:

System of Equations

Let's call

x = pounds of trail mix 5% raisins

y = pounds of trail mix 20% raisins

The distributor wants to make 1,000 pounds of trail mix, thus:

x + y = 1,000     [1]

The mix must be 8% raisings as a combination of x and y, thus:

5x + 20y = 8*1,000 = 8,000

Dividing by 5:

x + 4y = 1,600     [2]

Subtracting [2] and [1]:

4y - y = 1,600 - 1,000

Operating:

3y = 600

y = 200

From [1]

x = 1,000 - y = 1,000 - 200

x = 800

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Answer 2

Answer:

5% raisin mix: 800 lbs

20% raisin mix: 200 lbs

Step-by-step explanation:

Let number of 5% be x; and number of 20% be a.

x + y = 1000

5% · x + 20% · y = 8% of 1000 pounds

0.05x + 0.2y = 80

x = 1000 - y

0.05(1000 - y) + 0.2y = 80

50 - 0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

x = 1000 - 200

x = 800


Related Questions

Julio says, "If you subtract 19 from my number and multiply the difference by - 7, the result is - 28." What is Julio's number?
Julio's number is

Answers

Answer:

23

Step-by-step explanation:

Basically I did it backwards & opposites:

-28 divided by -7 = 4

4 + 19 = 23

I checked btw and it worked.

Erica's Burgers cooks its burgers either well done or medium. Last night the restaurant served 60 burgers in all, 45 of which were well done. What percentage of the burgers were well done?

Answers

Answer:

75

Step-by-step explanation:

75 times 60 divided by 100 is 45 and 45 is the amount that were well done

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6,500 to spend and purchases 30 textbooks, how many laptops can they buy

Answers

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

which of the following is not a case of direct variation

Answers

Answer:

I can't understand.. can you add pictures also

What is the domain of the square root function graphed below?

Answers

Answer:

Where its the graph??????

2(x + 1 ) - 3(x + 5) ≥ 0
plss help

Answers

Answer:

Inequality form x less than or equal to -13

Step-by-step explanation

Answer:

x ≤ -13

Step-by-step explanation:

2(x + 1) - 3(x + 5) ≥ 0

Distribute the 2

(2 × x) + (2 × 1)

2x + 2 - 3(x + 5) ≥ 0

Distribute the -3

(-3 × x) + (-3 × 5)

2x + 2 - 3x + (-15) ≥ 0

2x + 2 - 3x - 15 ≥ 0

Combine like terms

2x - 3x + 2 - 15 ≥ 0

-x + (-13) ≥ 0

-x - 13 ≥ 0

   +13    +13

-x ≥ 13

Divide both sides by -1 and flip the sign

x ≤ -13

Which type of symmetry occurs when a line reflects a
figure onto itself?

Answers

reflectional symmetry

Please help 20 points! Identify the graph in vertex form....

Answers

Answer:

it's a   /  

Step-by-step explanation:

idkidcbutanswer hey heres your brainliest!!! (only idkidcbutanswer will get brainliest on this i owe them)
4-(-4)=?

Answers

Answer:

the answer is -8

Step-by-step explanation:

this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8

Answer:

i got 8

Step-by-step explanation:

ur questions range on so many level, ngl

What’s the slope of the line ?

Answers

Answer:

y= 2x-2

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Find two lattice points

I chose (-2, 0) and (0, -2)

Since you are using a graph, you don't need an equation.

Starting from (-2, 0), you go down -2 points and 2 across to get to the second point.

-2/2 = -1

What is an equation of the line that passes through the points (4,−1) and (8, 5)? Put your answer in fully reduced form.
HELP PLS

Answers

Answer:

y=2/3x-7

Step-by-step explanation:

The slope intercept formula is

y=mx+b

(m) is the slope (rate of change)

(b) is the y intercept (where the line crosses the y axis [vertical])

We need to find the slope and the y intercept. First we will find the slope.

The formula for slope is y1-y2/x1-x2

In and ordered pair the first value is the (x) and the second is the (y).

(x, y)

We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.

5-(-1)/8-4

Simplify.

5-(-1) =5+1= 6

8-4=4

6/4 Simplify

3/2 is our slope.

Now we apply out new slope into our y=mx+b

y=3/2x+b

Now we need to find the (b) which is the y intercept.

To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).

In this ordered pair 4 is the (x) and -1 is the (y)

So replace (y) with -1 and (x) with 4

-1=3/2(4)+b

Now solve as usual.

-1=6+b

subtract 6 from each side

-7=b

b=-7

Put our (m) and (b) into our formula.

y=2/3x-7 is our equation.

9. FLUENCY: ONLY USE A CALCULATOR TO CHECK!
1500 + (6 + 4*) 37
Your answer

Answers

Answer:

1870

Step-by-step explanation:

1500 + (6 + 4) * 37

= 1500 + 10 * 37

= 1500 + 370

= 1870

Answer:

1870

Step-by-step explanation:

1500+(6+4)37

=1500+10*37

=1500+370

=1870

Justin calculates the perimeter of a rectangle with a length of 2x-3 and width
of X+4. He tells his teacher the answer is 3x-1. Is he correct or incorrect and why?

Answers

Answer:

No

Step-by-step explanation:

No, because the perimeter of a rectangle is 2(x+y). Justin added the sides. Then he should have multiplied by 2 but he didn't so Justin is incorrect.    

Hope this helps plz mark brainliest :D

Answer:

No, his answer should have been 6x+2

Step-by-step explanation:

The equation for perimeter is 2L+ 2W=P

so 2 (2x-3) + 2 (x+4) = 6x+2

I need to know what equals y

Answers

Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0

Round 95.9153055893 to the nearest tenth

Answers

Answer:

100

Step-by-step explanation:

A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
The value of A is ____?
The value of B is____?

Answers

Answer:

The Value of "A" is 10.0 Inches

The Value of "B" is 35 Inches

Step-by-step explanation:

Got it right on

E D G E N U I T Y 2021

The value of A is 10.

The value of B is 35.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.

Hence, We can formulate;

The value of A = 1.25 × 8

                       = 10

And, The value of B is,

⇒ 1.25 × 28

⇒ 35

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

You roll an eight-sided die. What is the chance that it will land on either a 2 or a 5? Write your answer as a fraction.​

Answers

Answer:

2/8 and the simplified version is 1/4

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

First you know that it is a eight- sided die. 2 or 5 are two numbers so it is 2/8.  

you put all of the numbers and count them up on the top as numerators ex: 2/   Then the number of the sided die as the denominator.ex: 2/8 Hope this helped.

The function f(x) = 125(0.80)to the power of x models the retail price of a CD player x years since it was first produced. What is the average rate of change in the retail price between years 2 and 4?

Answers

Answer: $28.80 per year

Which equation has no solution?

Answers

Answer:

C.

Step-by-step explanation:

C.

5/8x + 25 = 3/8x + 15 + 1/4x5/8x + 10 = 3/8x + 2/8x5/8x + 10 = 5/8x10 = 0

There is 3/4 of a box of cereal remaining. You eat 2/5 of the remaining cereal. What fraction of the box do you eat? Hint: What mathematical operation does the word “of” mean?
the answer must be a fraction

Answers

Answer:I think it’s 7/20

Step-by-step explanation:

LOOK AT PICTURE,THEN ANWSER QUESTION, WHOEVER ANSWERS CORRECT I WILL MARK BRAINIEST!!

Answers

Answer:
B. 4/11

Solution:
Gradient=(y1-y2)/(x1-x2)
Gradient=(6-2)/(4-(-7)) =4/11



If SJL = DMT, which segment corresponds to LS?

Answers

G is the answer to this question

uhh pls help with my hw thanks

Answers

girl my mind can’t comprehend that goodbye

Which pairs of events describe independent events?
Select all that apply.

A Flipping a coin and having it land with the tails side up; drawing a 7 from a standard deck of cards.
B Pulling a red sock from a drawer with 3 red socks and 5 blue socks and not replacing it; then pulling another red sock from the same drawer.
C Rolling a standard six-sided die and having it land on a 1; selecting a blue block from a tub of red and blue blocks.
D Drawing a king from a standard deck of cards and not replacing it; then drawing a queen from the same deck of cards.

Answers

Answer:

A and C

Step-by-step explanation:

Both events in A and C have no connections whatsoever. B and D are dependant of each other due to both having to do with ether both socks or both cards.

Solve the equation and show your work please!
3(2y - 0.3) = 19.4 - y

Answers

Answer:

y=2.9

Step-by-step explanation:

3(2y - 0.3) = 19.4 - y

6y-0.9=19.4

6y+y-0.9=19.4

6y+y=19.4+0.9

7y=19.4+0.9

7y=20.3

7y/7=20.3/7 (divid each one by seven. that's what /7 means)

y=2.9

Find an equation for the line below.
Help me please :(

Answers

Answer:

y=3/2x+5/2

Step-by-step explanation:

I used the Y2-Y1/X2-X1

In this equation you can see that there are 2 points (-5,-5) and (1,4)

If you substitute, you will get

4+5/1+5

9/6 and if you simplify this, you will get 3/2

Now that we have the slope, we just have to use y=mx+b

(I'm using the point (1,4))  4=3/2(1)+b

                                         4=3/2+b

                                         5/2=b

Add. Write your answer as a fraction in simplest form.
9/10+(-4/5)=?

Answers

Answer:

The answer is 1/10

A bricklayer charges $165 to lay 5 pallets of bricks, at the same rate what would he charge to lay 7 pallets?

Plz help

Answers

$231.

165 divided by 5= 33
33 x 7= 231
$231

3)
What is the range of this function?

Answers

Answer:

positive 3

Step-by-step explanation:

which one of these is. linear function

Answers

I think it’s c: y = -4. Lmk if it’s wrong or right
Pretty sure the answer is c
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