Mathematics High School

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

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 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

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

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PLEASE HELP, MARKING BRAINLIEST!!!!

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

Answers

Answer:

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

What is 11010²-1101²

Answers

Answer:

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

[tex]98188281[/tex]

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:

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:

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

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

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]

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:

CAN SOMEONE PLZ HELP

Answers

Answer:

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

Step-by-step explanation:

I solved it using the elimination method

Help me with this please

Answers

Answer:

Step-by-step explanation:

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:

Step-by-step explanation:

(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

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.

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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:

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]

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

Answers

Answer: b or c

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

i got 57.352 but i’m not 1000% sure

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.

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.

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