a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?

Answers

Answer 1

Answer:

400 bushels of the 15%

600 bushels of the 10%

Step-by-step explanation:

x bushels of the 15%  plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%

15x + 10(1000 - x) = 12(1000)

distribute

15x + 10000 - 10x = 12000

Combine like terms

5x = 2000

Divide both sides by 5

x = 400 bushels of the 15%

1000 - x = 600 bushels of the 10%

Answer 2

The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.

Let x be the bushels.

One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.

The linear equation can be framed:

15x + 10(1000 - x) = 12(1000)

By using the distributive property:

15x + 10000 - 10x = 12000

5x = 2000  (combine like terms)

x = 400 bushels of the 15%

= 1000 - x

= 1000 - 400

= 600 bushels of the 10%

Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

Learn more about the linear equation here:

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Related Questions

help me with math and ill mark brainliest​

Answers

Answer:

I and II

Step-by-step explanation:

All trapezoids have a midsegment. The base angles of isosceles trapezoids are always congruent. Because the top and bottom side are parallel, the same side interior angles are supplementary not complementary.

y = 4x – 1 with inputs x = -3, x = -2, and x = -1

Answers

Part 1. If x = -3 the equation would be. Y = -12-1 which would be Y= -13

Part 2. If x = -2 the equation Y = -8-1 which would be Y = -9

Part 3. If x = -1 the equation would be. Y =-4-1 which would be Y = -5

Chris rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 75 cents for each mile driven. Chris had to pay
$167.24 when he returned the truck. For how many miles did he drive the truck?
M miles

Answers

Answer:

Chris drove the truck 203 miles.

Step-by-step explanation

So, first I subtracted the base free cost of the amount he paid and got $152.25. Then, I divided $152.25/0.75 and got 203. S0, that's how I got the answer. I subtracted the base free because we know he had to pay that initially and then I just divided the rest of the money he had to pay by 0.75 because he was charge 0.75 per mile driven.

Suppose that the radius of a sphere is divided by 9. What happens with the surface area?

Answers

Answer:

Rad/9

Step-by-step explanation:

I need help... pls. ​

Answers

Answer:

Administer 14 ml, 350mg/125mg=2.8×5ml=14ml


The mean of 11 numbers is 49. Removing one of the numbers causes the mean to decrease to 45. What number was removed?

Answers

Answer:

89

Step-by-step explanation:

The mean:

[tex]\overline{x}=\dfrac{a_1+a_2+a_3+...+a_n}{n}[/tex]

We have:

[tex]\overline{x}=49;\ n=11[/tex]

Then we have

[tex]\dfrac{11\cdot49}{11}=49[/tex]

[tex]n[/tex] - the number

new mean is equal 45.

Therefore we have the equation:

[tex]\dfrac{11\cdot49-n}{11-1}=45\\\\\dfrac{539-n}{10}=45\qquad|\text{multiply both sides by 10}\\\\539-n=450\qquad|\text{subtact 539 from both sides}\\\\-n=-89\qquad|\text{change the signs}\\\\n=89[/tex]

Step-by-step explanation:

(x1 + x2 + ... + x11)/11 = 49

x1 + x2 + ... + x11= 49×11 = 539

(x1 + x2 + ... + x10)/10 = 45

x1 + x2 + ... + x10 = 45×10 = 450

so, the difference in both sums is

539 - 450 = 89

89 was the removed number.

HELP!!!!!!!!!!!!!!!!

Answers

Answer:

The answere is D

Step-by-step explanation:

i know this because thats how a grid works and its really simple

. Bobignment In what year was the LAWMA Established-​

Answers

1977. All that took was a 3 second search...

Please help asap! Solve for x and y

Answers

Answer:

Step-by-step explanation:

You are working with a square. All 4 sides are equal

2x+ 1 = 4x - 7         Subtract 2x from both sides

1 = 4x - 2x - 7         Combine

1 = 2x - 7                Add 7 to both sides

1 + 7 = 2x               Combine

2x = 8                    Divide by 2

2x/2 =8/2

x = 4

The diagonals of a square bisect the 90 degree angle.

7y + 3 = 45           Subtract 3 from both sides

7y = 45 - 3            Combine

7y = 42                 Divide by 7

y = 42/7

y = 6

There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added ​

Answers

Answer:

i will clear you.

Step-by-step explanation:

Given:-

Marbels we have =30

when we add marbels =5

Now,

or,30+5

you will receive cookie and 100 points if you help me

Answers

Answer:

-8.45

Step-by-step explanation:

Look at -10 and 0 on the number line. I used a ruler to help me, and found that A and B were about 1 - 1.3 cm apart. I looked at the options and found that -8.45 was the closest.

However, another way you could of worked this out would be to look at your options and eliminate the ones you know don’t work. Then look at your options available and work it out from there.

I need to know the answer

Answers

Answer:

2 x 6 = 12

6 x 2 = 12

12 ÷ 6 = 2

12 ÷ 2 = 6

Step-by-step explanation:

The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees

Answers

Answer:

336 employees

Step-by-step explanation:

Hi there!

We're given:

Ratio of men to women ⇒ 5:7

Number of women in the company ⇒ 196

1) Solve for the number of men in the company

Set up a proportion

[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company

Multiply both sides by x

[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]

Therefore, there are 140 men working at the company.

Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.

I hope this helps!

Answer:

336 total employees

Step-by-step explanation:

divide women by their respective ratio to get unit multiplier

196÷7=28

add the 2 numbers in the ratio to get both men and women

7+5=12

multiply everyone by unit multiplier

12(28)

336

In Diagram 6, JCK is a tangent to the circle ABC
Find the value of x.
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Answers

Answer:

C

Step-by-step explanation:

if you don't know it choose C

Find the value of y when x=-4
4. 1/3y=2(x-1/6) 5. -6x-y=17.75

Answers

Answer:

1/3y=2(-4-1/6)

The first one answer is y=-25

-6×-4-y=17.75

The second answer is y=6.25

For which function is the ordered pair (2, 12) not a solution?
A) y= 6 x
B) y= x - 10
C) y= 14 - x
D)y= x + 10​

Answers

Answer:

option b

Step-by-step explanation:

y=12 x=2

12 is not equal to 2-10.

lemme know if you didn't understand

720 is what percent of $800?

Answers

the answer is 90 hope this help.

A large box contains 12 medium boxes and 18 small boxes. Each small box contains 25 chocolate bars while there are 20 vanilla bars in each medium box. How many chocolate bars are in a large box?

Answers

Answer:

Step-by-step explanation:

The answer is there are 450 chocolate bars in the large box because the small box has 25 chocolate bars and it is 18 small boxes in a large box so you will have the problem of 18 x 25= 450

About how tall would you expect one of these trees to be after 22 years? 22.31ft. 35.2ft. 44.25ft. 46.2ft.

Answers

Answer:

The correct answer is C, 44.25. I just took the test....

Step-by-step explanation:

Can anyone please help??

Determine whether the inverse of F(c) is a function

Answers

Yes it is because it passes the vertical line test.

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?

Answers

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.

Answer:

Step-by-step explanation:

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.

Please help! I'm confused​

Answers

The solution to the equation f(x) = g(x) is any x-value that makes the equation true.  In terms of using graphs, the solutions are the x-coordinates of any point of intersection.  

So if the graphs intersect at (1,5), then the solution is x=1.

This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).

What is the value of x?
14(6x−2)=x−2
A)-3
B)2
C)-7
D)-9

Answers

14(6x-2)=x-2

84x-28=x-2

84x-x= 28-2

83x = 26

x = 26/83

there are no corect answer below

ok done. Thank to me :>

Last year, Derek's mother gave him 53 blue stamps and 36 red stamps to start a stamp collection. Now Derek has 4 times as many stamps in his collection How many stamps does Derek have in his collection? Complete the bar diagram to show your work.​

Answers

Answer:

At present he has x stamps

Every month he adds 6 numbers, for 8 months

So total added 8x6=48

The total will be x+48 which is expected to be twice of x

x+48=2x

Solving x=48

At present he has 48 stamps

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

53 + 36 = 89

89 x 4 = 356

and where is the bar diagram????

Let 2m - 1 be a prime number. Prove that m is also a prime number

Answers

Answer:

False.

Step-by-step explanation:

This is false.

A Counterexample:

7 is prime.

2(4)-1 is 7.

4 is not prime.

Another Counterexample:

11 is prime.

2(6)-1 is 11.

6 is not prime.

Answer:

If m=2 (which is a prime number), then 4-1=3, 3 is a prime number.

Step-by-step explanation:

if b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form

Answers

Answer:

3p² + 32p + 13

Step-by-step explanation:

Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13

Answer:

3p² + 32p + 13

Step-by-step explanation:

3p² + 32p + 13

1.2) Raflte tickets cost $6 for 5 tickets
How many tickets can you get for $90

Answers

15 tickets because 90 divide by 6 is 15
Answer:
One ticket is worth 1.2
90$ gets you 75 tickets
Step by step explanation:
T=ticket(s)
6=5t
6/5=t
90/(1.2)=75

is a function f(x)= 1/x odd or even?

Answers

Answer:

the function is odd.

Step-by-step explanation:

f(x) is even if f(−x)=f(x) . f(x) is odd if f(−x)=−f(x) . Since −1x=−f(x).

Answer:

Odd

Step-by-step explanation:

There are two ways a function can be determined even or odd.

1. Graph

If the line of symmetry is the y=axis, the function is even.

If it can be rotated 180˚ about the origin and lines up with the original equation, it is odd.

If none of the cases above are satisfied, the function is neither.

2. f(-x)

If you substitute -x for x and you get the equation to be the same as before, the function is even.

If you substitute -x for x and you get the previous equation * -1, the function is odd.

If none of the cases above are satisfied, the function is neither.

link is in the comments!

PLEASE HELP!

Answers

Answer:

How can I help you?

Given right triangle ABC, where side "c" is the
hypotenuse, angle B measures 44 degrees, and side
c measures 17 m, find the length of side b.
Round your answer to the nearest hundredth of
meter

Answers

Answer:

b = 11.81 m

Step-by-step explanation:

b = c . sinB = 17sin44 = 11.81

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