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:

brainly.com/question/11897796

#SPJ2


Related Questions

a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?

Answers

Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.

The patient is to take a tablet 3 times a day which means that they are to take:

= 1 x 3

= 3 tablets daily

If they have 30 tablets, this will last:

= Number of tablets / Tablets per day

= 30 / 3

= 10 days

In conclusion, it will take 10 days for the tablets to run out.

Find out more at https://brainly.com/question/13043215.

Does Timmy really brush his teeth before bedtime?
Remember when you were a kid and you were told to brush your teeth before
going to bed? How many of us pretended to brush our teeth thinking that no one
would notice? (It probably took more time to pretend than it would have been to
just brush our teeth in the first place.)
Here we have a null hypothesis, an alternative hypothesis, and the data (evidence).
Null the
Were Hypothesis
They rushed
His Teeth
Teled Not truth
e Tea
The Data
Dry Toothbrush
• What level of significance would you choose, 0.1 or 0.01? Explain.
. Would you reject or not reject the null hypothesis based on the data (a dry
toothbrush)? Explain.
Is there anything that could go wrong with your decision? Explain.
• If something could go wrong, what type of error would that be?

Answers

Answer:

no he doesnt brush his teeth

Step-by-step explanation:

There are 54 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/3 of the remaining students gave their speeches. How many

Answers

Answer:

18 student gave there speech yesterday

36 students gave there speech today

Step-by-step explanation:

54 total

54 * 1/3 = 18 student gave there speech yesterday

54*2/3 = 36 students gave there speech today

Hope this helps!

(Please mark ask brainiest)

Thanks!

Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___

Answers

Answer:

Pretty much f(n)=-3+5n-1

Step-by-step explanation:

for the 50th term 242

The distance between Kathmandu to Hetauda is 86 km. convert the distance from km into meter (m).​

Answers

1km is equivalent to 1000m,Accordingly,86 km is equivalent to 86000m

Answer:

86000 meters

remeber:   1km = 1000m

so.....

86 x 1000 = 86000 right?? ;-;

what is the length of DE

Answers

Answer:

Step-by-step explanation:1

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.

Please help me ASAP please please

Answers

Answer:

67

Step-by-step explanation:

CB is 90 degrees, subtract that from 23 degrees, you get 67

Answer:

67 brainlest

Step-by-step explanation:

Classify the quadrilateral, Explain your reasoning. Thank you!!

Answers

Answer: y=7, x=2

Step-by-step explanation:

∠Q+∠P=180° (∠s between 2 // lines)

97°+(12y-1)°=180°

12y-1=83°

12y=84

y=7

5x+6=8x (Iso triangle)

x=2

Perimeter of a trapezoid is 39a-7. Three sides have the following length 9a, 5a+1, and 17a-6 what is the length of the fourth side

Answers

Answer:

4th side is 8a-2

Step-by-step explanation:

P = 39a-7 - ((17a-6) + (9a) + (5a+1))

P = 39a-7 - (31a-5)

P = 8a-2

9. The height of a triangle is 3 inches less than twice the length of its base. If the total area
of the triangle is 7 square inches, then find the lengths of the base and height.

Answers

Check the picture below.

[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]

[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]

which inequality represents this graph

Answers

Answer:

it would be the first one!

Answer:

z ≥ -10, which is the first answer.

Step-by-step explanation:

As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.

What does cross-sectional mean

Answers

Answer:

exposed by making a straight cut through a solid form, especially at right angles to an axis.

"the cross-sectional area of the wood"

or

constituting a typical or representative sample of a larger group.

"a cross-sectional survey of high school students"

ig

Determine the greatest common factor of the numbers 24 and 56

Answers

Answer:

8

Step-by-step explanation:

yw :)

Round 909.09 to the nearest hundredth

Answers

Answer:

909.1

The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1

Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?​

Answers

He is going to have 21 nickels

Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.

Answers

Answer:   5.824 m / min

Step-by-step explanation:

Change in position = -2.1m to -38.6m

Distance = |-38.6 m - (-2.1m) |

=|-36.5| m

= 36.5 m

Time =  

The average change in Michelle's position each minute =  

Hence, the average change in Michelle's position each minute = 5.824 m / min

What is the scale factor of the dilation?

Answers

Step-by-step explanation:

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)

Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?​

Answers

Answer:

112

Step-by-step explanation:

32*2+29*2=112

How much money was invested at 5% annual simple interest for 4 years to earn $2870?

Answers

Answer:

Principal (amount invested) = $14,350

Step-by-step explanation:

Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:

In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.

I = P × r × t

where:

I = interest earned = $2,870

P  = principal amount invested = ?

r  = interest rate = 5% or 0.05

t = time = 4

Divide both sides by (r × t ) to isolate P :

[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]

Substitute the given values into the formula for P:

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]

Therefore, the principal amount invested is $14,350.

on a photograph an ant is enlarged at scale 25:1 In the photo the ant leg is 15 cm what is the actual length of the ants leg

Answers

Answer:

0.6 cm

Step-by-step explanation:

15/25=0.6

Answer:

0.6 Is the answer

Step-by-step explanation:

Hope this helped ¬∪ω∪¬


What is the slope of the line y = -4?

Answers

The slope should be m= 0

helppppppppppppppppppppp!

Answers

Answer:

1:3

Step-by-step explanation:

Since your scaling down you divide the smaller number by the larger number

7/21=1/3

=1:3

Hope this helps :)

Calculate the difference and enter it below. -9-(-10) Answer here​

Answers

Answer:

-9-(-10)

=-9+10

=1

it’s 1 because you pretend that the two negatives signs between rhe parentheses and the 9 and 10 that they’re the plus sign and then you follow the rules which is when signs are different you subtract and 10-9 = 1

pick a number, any number.

If it's even, divides it by 2. If it's odd, multiply it by 3 and add 1. Now repeat those steps again with your new number. Eventually, if you keep going, you'll eventually end up at 1 every single time
(please help me)

Answers

Answer: 1

Step-by-step explanation:

1 x 3 + 1=4

4/2=2

2/2=1

the same thing happens again,

1 x 3 +1=4

4/2=2

2/2=1

therefore the number is 1 when I first started

Answer: If this is a True or False Question the Answer is False

Step-by-step explanation:

Why? because if you pick -1 (negative one) the answer will always be negative.

Find the product.
-8x5y2 · 6x2y

-8x10y2

-8x7y3
-48x7y3

-48x10y2
Find the product.
(3a4 + 4)2

6a4 + 8

9a8 + 16
9a8 + 24a4 + 16

9a16 + 24a4 + 16

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

can you please help me

Answers

Answer:

84000

Step-by-step explanation:

just searched it up plus you have to multiply it

consider h(x)=x^2+8+15. identify its vertex and y-intercept.

Answers

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].

Use the equation:  [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex]

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.

[tex]x = \frac{-b}{2a}[/tex]

[tex]x = \frac{-8}{2(1)}[/tex]

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

Solve for the Y-intercept:

The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2

Answers

Answer:

[tex]p>-2[/tex]

Step-by-step explanation:

[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]

Answer:p < -2

Step-by-step explanation:

Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.

6x + y = 2
1 x - 4y = 2

The estimated solution is (__,__)

Answers

Answer:

using substitution method you'll be able to get the value of x then after finding x

Other Questions
Victor borrowed $18.50 from his mother to go to the theater. A week later, he paid her $18.50 back. How much does he still owe her? He owes her $ Emilie is reviewing a log file of a new firewall. She notes that the log indicates packets are being dropped for incoming packets for which the internal endpoint did not initially create the request. What kind of firewall is this which type of stress affects your mental and/or physical health? Write a class number which has FollowingN - integerMethodsDefault constructorArgument constructorsetN method to change the value of Nisprime() to check that N is a prime number isarmstrong to check N is Armstrong iseven() to check if N is even or odd these method should also work for given numbers class should have provision to know the count of objects plz help this is due in 15mins!!!1. Reread the highlighted lines. Then give a short summary of what happened at the intersection and explain.2. What do you think Saeng might be thinking or feeling as the instructor is evaluating her performance on the test? Explain. How did other nations respond to the Great Depression Is it possible to see the different phases of mitosis in plant cells under a low power microscope? A yes, you can see the individual cells and tell the phases apart. B yes, you can see the individual cells and they are all just in the same phase. C No, you can't see enough detail. They all look like they are in interphase. D. No, there is not enough detail to see individual parts of the plant or individual cells. write defination of home The Petition of Right confirmed the supremacy of law specifically over whom? the monarch the people the nobles the church. At what point on a heating curve graph does a phase change occur?at each plateauat the first plateauat each slopeat the last slope Define reproductive health? What are it's purposes? list 5 points to take note when organizing an informal letter 1. She has painted this building for five daysShe started . Chi-Fong enjoys writing poetry. Recently, he was pleased when one of his poems won a literary award. Which of the following statements is MOST LIKELY correct based on the information above?Chi-Fongs intrinsic motivation increased because of the award.Chi-Fongs motivation is both intrinsic and extrinsic.Chi-Fong is more intrinsically motivated.Chi-Fong is more extrinsically motivated. Please help me I dont know how to solve this |5z+1| >14 f/3 + 22 = 17. How can you isolate the variable f?yeah How did abolitionists fight slavery? Choose three answers.by passing laws by making speechesby publishing newspapers by supporting the Underground Railroad by enacting slave codes According to the _____ model, mental illness needs to be diagnosed based on its symptoms. Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished. Your answer: As chief financial officer, you want to send the fourth quarter profit/loss spreadsheets to the president of the company. How can you send the report without worrying about someone else accessing it 6. A 10.0 g sample of krypton has a temperatureof 25 C at 575 mmHg. What is the volume, inmilliliters, of the krypton gas?