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

The ratio of red marbles to blue marbles in a bag is 2 to 3. Which of the following could be the number of red and blue marbles in the bag?

Answers

Answer:

4 red marbles and 6 blue marbles

Step-by-step explanation:

Multiply any numbers to 2 and 3 and you get another ratio.

These two lines are graphs of non-proportional relationships what makes them not proportional

Answers

Answer: b or c

Step-by-step explanation:

13) (-4.3) (2,-1)
slope formula

Answers

Answer:

[tex]3 - ( - 1) \div 2 - ( - 4) \\ 3 + 1 \div 2 + 4 \\ 4 \div 6 \\ = \frac{2}{3} [/tex]

What is 11010²-1101²

Answers

Answer:

[tex]9909^2\\[/tex]

or

[tex]98188281[/tex]

LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. • First card: -12 • Second card: 3 • Third card: -5 What is the sum of the values of LuAnn's three cards?

Answers

The sum of all the cards of Luann is -14.

One of the four fundamental operations for arithmetic on integers, decimals, fractions, real and complex numbers, as well as in algebraic expressions or on structures related to them, including vector spaces, is sum (also known as addition).

The terms, addends, or summands collectively refer to the numbers or objects that need to be added in general addition; this nomenclature also applies to the summation of several terms. This should be distinguished from multiplied factors.Addition or sum follows the commutative , associative and distributive properties.

The given numbers on the cards are given as - 12 , 3 and - 5 .

Therefore the addition or sum is equal to :

-12 + 3 + ( - 5 ) =  - 17 + 3 = - 14

Hence the sum of all the cards in LuAnn's card games is -14.

To learn more about sum visit:

https://brainly.com/question/537797

#SPJ1

CAN SOMEONE PLZ HELP

Answers

Answer:

(x, y, z) = (2, -1, 3)

Step-by-step explanation:

I solved it using the elimination method

PLEASE HELP, MARKING BRAINLIEST!!!!

What is the value of x? *Please show your work if you can.*

Answers

Answer:

I think 100..........

Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles. How many square feet of plywood does Oliver need to build the ramp?

I will mark brainliest

Answers

Answer:

18

Step-by-step explanation:

need rn! worth 13 ~ what is the equation of the parabola? 謝謝

Answers

Answer:

Its B.

Step-by-step explanation:

Emath.com- Parabola calculator

Help me with this please

Answers

Answer:

B?

Step-by-step explanation:

What is the inverse of the function f(x) = x - 9?

Answers

Answer:

F^-1(x) = x+9

Step-by-step explanation:

Hope this helps!  Stay Safe!\

The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a   f⁻¹(x) = x + 9

From the question, the given function is

f(x) = x - 9

To determine the inverse of this function,

First, let y = f(x)

That is,

y = x - 9

Now, make x the subject of the equation

To do that, add 9 to both sides

We get

y +9 = x - 9 +9

y + 9 = x

∴ x = y + 9

Now, rewrite as f⁻¹(x) by replacing y by x

That is,

f⁻¹(x) = x + 9

Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a   f⁻¹(x) = x + 9

Learn more here: https://brainly.com/question/16149814

The Giant Anteater can eat 70,000 ants in 2 days. It’s true

Answers

Answer:

cool

Step-by-step explanation:

is this a question?

(I will give branliest please help me)
Which linear equation represents a line that is parallel to the line drawn and includes point P?
y = 42 - 4
4x + 3y = 15
y=-30 +3.25
-3. + 4y = -5

Answers

the second one I think

please help no work needs to be shown

Answers

i got 57.352 but i’m not 1000% sure

What is the answer for both?​

Answers

Answer:

What is the question from both?

Answer:

(4,2) for the first one

(2,-1) for the second one

to get the answers I got, equate Both

I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!

Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. (look at graph)


Is the number of gallons of water in the bathtub a function of time?

A)Yes because each t value is paired with exactly one number of gallons.
B)Yes because the number of gallons is bounded between y = 0 and y = 36.
C)No because each number of gallons is paired with more than one t value.
D)No because from t = 5 to t = 20 the number of gallons of water is constant.

Answers

A.Yes because each t value is paired with exactly one number of gallons.

Step-by-step explanation:

Yes  the number of gallons of water in the bathtub a function of time because each t value is paired with exactly one number of gallons.

Option A

Given :

The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.

The number of gallons of water in bathtub depends on the time taken to fill or drain water

For each minutes in x  there is one y value

There is no break in the graph . For each x  value there is only one value

From this graph we can say that , for each t value (minutes)  there is exactly one number of gallons (y value )

So, yes because each t value is paired with exactly one number of gallons.

Learn more :  brainly.com/question/19620324

What is the slope-intercept equation for the line below?

Answers

Can you please show us the graph ?

Answer:

dumb dumb

Step-by-step explanation:

In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length of the triangle, s, in centimeters. The inequality < p < represents the possible values for the perimeter, p, of the triangle, in centimeters.

Answers

Answer:

The inequality 10 < s < 60 represents the possible third side length of the triangle, s in centimeters.

The inequality 70 < p < 120 represents the possible values for the perimeter p, of the triangle in centimeters.

Step-by-step explanation:

Firsts one The lower number has to be the difference between the bigger number and smaller number. In this case 35 - 25 = 10 and the s < 60 has to be the sum of both numbers.

Second one. I'm assuming it's just the sum of the two numbers to the first answer, and the second number is just the second number from the previous one, but multiplied by 2. Sorry that I couldn't go into too much detail about this one

The inequality that represents the possible third side length

[tex]10cm<s<60cm[/tex]

The inequality that represents the possible values for the perimeter

[tex]70cm<P<120cm[/tex]

Given :

In triangle ABC, AB measures 25 cm and AC measures 35 cm.

For any triangle , we know that the sum of measures of two sides is greater than the third side

Let 's' be the third side length

[tex]25+35>s\\60>s\\\\Also , s+25>35\\s>35-25\\s>10\\Inequality\; is \;\\10<s<60[/tex]

Now we find the perimeter when s=10

Perimeter = sum of all the sides

[tex]s=10\\P=25+35+10=70\\s=60\\P=25+35+60=120[/tex]

[tex]70<P<120[/tex]

Learn more : brainly.com/question/2605035

does the ordered pair (8,48) satisfy the direct equation y=6x? explain why or why not

Answers

Answer:

i think yes the order pair of (8,48) satisfy the direct equation y=6x

Step-by-step explanation:

In this diagram, each square represents 1 km. What is the displacement of the car?​

Answers

Answer: C) 2 km west

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

Answer:

c

Step-by-step explanation:

In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

Answers

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer:

plz giv brainlist

Step-by-step explanation:

15 points!!
b. Determine whether hypotenuse-leg (HL) is a valid means for establishing triangle
congruence for right triangles. If it is a valid criterion, explain why.

Answers

Answer:

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Step-by-step explanation:

What value of x will make the equation true?
(square root of 5) (square root of 5)=x

please help me :)

Answers

The answer will be 5
The answer is 5 because the square root of 5 is approximately 2.4 so the square root of 5 plus the square root of 5 equals 5

John writes the proof below to show that the sum of the angles in a triangle is equal to 180º.

Answers

Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

Is y=(x/3) an inverse or direct variation

Answers

Answer: y=x3 is a direct variation.

Step-by-step explanation:

20points- Correct answer get Brainlest- Help please-Thank you- :)


Of all students, calculate the relative frequency for males who carpool.


Gender School Transportation Survey

Walk Ride Bus Carpool Total

Male 9 26 9 44

Female 8 26 24 58

Total 17 52 33 1



0.204

33

0.088

9

Answers

Answer:

0,204

Step-by-step explanation:

The distance to the nearest exit door is less than 150 feet.
Use d to represent the distance (in feet) to the nearest exit door.

Answers

Answer:

d<150

Step-by-step explanation:

Use a property of exponents to simplify. 3Use as the base.

Answers

Answer:

3^4 because when u divide exponents w same base just subtract the exponents

Step-by-step explanation:

Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?

Answers

honestly anna made a scale drawing, in inches, of a building using a scale of 1:600. her scale drawing was 6 inches long. Greg made a scale drawing of the same building using a scale of 1:300. how long, in inches, was greg’s scale drawing.

what is the domain of f(x)=2x is all real number or all positive number or all positive and zore

Answers

Answer:

The domain is all real numbers

Step-by-step explanation:

There aren't any restrictions like a square root, an even exponent, or a denominator. If you ever get stuck, feel free to use something like the Desmos graphing calculator to graph out the equation.

Other Questions
Will give brainliest, Look at the graph above. Compare it to the periodic table. What do you notice about the location on the periodic table of the elements that represent the high points Solve: 2x + 15 = -3xPlease help me out! I need to solve for X What is the value of the expression 4/7 12/21 Describe losvarios granos ycereales como laharina, la cebada y elcenteno que comes, dednde vienen y elimpacto que tendra suausencia en su dieta. Which statement describes the expression 9(8 + 25)? 1.9 times the quantity 8 times 25 2.9 times the quantity 8 plus 25 3. 25 more than 9 times s 4.25 more tha 9 plus s It is about being alone when you are not really alone and about being scared all the time." In the figure below, Angles 1 and 2 are congruent.If m Z1 = 70, what is the sum of Angles 3 and 4?O A. 150O B. 140O C. 110D 180 Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1 2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eightyears?Answer: I need it done asapp Please help Match the picture to the reason that would prove the triangles congruent.Options:NONEASASSSSASAASHL What is the discriminant of the quadratic equation, 4x^2-8x-5=0 When the energy of a wave increases, what happens to the amplitude? A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds my parents decided to visit both boracay and palawan because there places are amazing tourist destination. boracay has white beaches and lush tropic scenery. likewise, EXPLANATION: How can parties that have unequal bargaining power negotiate meaningfully,without one party taking advantage of the other? What challenges arethese sailors goingto face duringexploration (on andoff land)? The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.340.1 9.5 = 358 A hurricane sweeps across the ocean and damages the houses of people living along the coast. This is an example of interactions between the biosphere, atmosphere, and sand hydrosphere, sand, and biosphere atmosphere, sand, and hydrosphere atmosphere, hydrosphere, and biosphere 1. The chemical equation for photosynthesis is shown below is incomplete 6H20 + ______________ energy C6 H12 O6 + ________________ Plant pigmenta) Complete the equation in either all words or all symbols. b) Name the plant pigment necessary for this reaction 2. Name the tissues labelled A.., B and C..(3M)3. Complete the table by matching each of the described functions to one of the leaf parts as shown in above diagram (4M)Description of function Leaf partMain region for photosynthesis. Contain many chloroplast to trap light energy. Cells are loosely packed. Air spaces between cells allow gaseous exchange. Thin and transparent layer that allows light to pass through. Water vapor passes out during transpiration. If question 2 is not answerable or if the picture is missing then leave it