The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 65% pure fruit juice?

Answers

Answer 1

Answer:

64 70% and 16 45%

Step-by-step explanation:

it's 4 70% and 1 45% to make 5 pints of 65% so 64 70% and 16 45%


Related Questions



Please match the answer to the question.
Question 3 options:

-5

-8

+4

+5

+8

1.

profit of $5
2.

depth of 8ft
3.

increase of 8 degrees F
4.

loss of $5
5.

height of 4ft

Answers

1. Loss of 5
2. Depth of 8ft
3. Height of 3
4. Profit of 5
5. Increase 8 degrees F

Answer:

see below

Step-by-step explanation:

1.  profit of 5 means a gain of 5   +5

2 depth of 8ft means down 8     -8

3 increase of 8 degrees means a gain of 8  +8

4 loss of 5 dollars means  negative    -5

5 height of 4 ft means we go up   +4

Consider U = {x\x is a positive integer greater than 1}.
Which is an empty set?
{xx € U and 2x is prime}
{xlx EU and 2x is prime}
{XX € U and 1/2x can be written as a fraction}
{x|x € U and 2x can be written as a fraction}

Answers

{xx €U and 2x is prime }

Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

What are prime numbers?

Prime numbers refers to a whole number more than 1 whose only factors are 1 and itself.

Now, A whole number that may be split evenly into another number by multiplication is referred to as a factor.

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers.

Here, The number 2 is the only prime even number and hence no other prime number will be fall as an even number or a product from multiplication by 2.

Hence, Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

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EE
Solve the system of equations.
y= 2x + 4
y = x2 + x - 2
A. (-2, 0) and (3, 10)
B. (2,0) and (-3,-10)
C. (-3,-10) and (-2,0)
D. (-3, 10) and (2,0)

Answers

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = 2x + 4 → (1)

y = x² + x - 2 → (2)

Substitute y = x² + x - 2 into (1)

x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )

x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )

what is 527.79 rounded to the nearest thousandth?

I looked it up and it said it was just 527.79, but when i put my answer in it said it was wrong so im really confused.

Answers

527.79

there is no because just round and try this I think it might work i dont know

I think the answer is 527.79

A large box contains buttons with pictures of animals.

There are four different animals. A button is drawn and replaced. In 100 trials, 35 buttons with cats were drawn.

What is the probability that the next button will be a different animal?


A.
The experimental probability is 35%.

B.
The experimental probability is 65%.

C.
The theoretical probability is 35%.

D.
The theoretical probability is 65%.

Answers

Answer: its B

Step-by-step explanation:

You have to subtract 100 and 35. You get 65. Its also a experimental probability.

Each letter of the word PROBABILITY is written on an individual card, each of which

is the same size, and all are put in a bag. A card is drawn without looking. A card is

drawn without looking. Find P(Letter A or Vowel)

Mutually Exclusive Event

O Inclusive Event

Independent Event

Dependent Event

Answers

Answer:

Independent event

Step-by-step explanation:

M is the centroid of the triangle.

CM=7, PM=10, & BQ=18

BM=[? ]

Answers

Answer:

The length of the BM is 6 unit.

Step-by-step explanation:

Given : M is the centroid of the triangle.  CM=7, PM=10, & BQ=18

To find : The value of BM ?

Solution :

Refer the attached figure below.

The centroid of a triangle is the point of intersection of its medians.

M is the centroid and the centroid divide the line in 1:2 ratio.

So, M divide BQ in 1:2 ratio and the total length of BQ is 18.

BM is one third of 18.

i.e. [tex]BM=\frac{18}{3}[/tex]

[tex]BM=6[/tex]

Therefore, the length of the BM is 6 unit.

Answer: BM=6

Step-by-step explanation:

Which is the best estimate of the sum of the fractions 5/12+5/9

Answers

Answer:

0.926

Step-by-step explanation:

5/12 as a decimal is 0.416 and

5/9 as a decimal is 0.5 repeating

You just have to turn the fraction into a decimal and

add those together.

So your final equation would be 0.416+0.5

Answer:

35/36

Step-by-step explanation:

The least common denominator for both 12 and 9 is 36.

5        3 = 15

—  X         —

12        3 = 36

5      4 = 20

–   X

9     4 = 36

15+20 = 35

so, 35/36

Hope this help, have a great day, and Stay Safe.

:)

e price of an item yesterday was 130. Today, the price rose to 221. Find the percentage increase

Answers

Answer:

70

Step-by-step explanation:

The explanation is in the picture

please rate and mark as brainliest

Select the equivalent expression

Answers

answer: c
hope this helps!

The measurement of one angle of a right triangle is 43° what is the measurement of the third angle

Answers

47 because a triangle needs to add up to 180° land you add the 43 plus the 90° and give you 133 and than you subtract the 180 by the 133 and it’s 47

What is the exact solution to the system of equation shown on the graph?​

Answers

I think the correct answer is D

The exact solution of the equation graphed is i option D

(-1 1/5, 4 5/6)

How to find the solution

The solution of linear equations grapes is the point of intersection of the two straight lines

This point is traced as follows

x coordinate is closer to -1 than it is to 2.  Not up to -1 1/2y - coordinate is closer to 5. more than 4.5

Comparing with the given options, we have (-1 1/5, 4 5/6) as the best choice

HELP HElp help HELp HElp please fast give 10 points

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

its quizzizz you need fast

Use the formula y=Mx + B
The m = slope always so find the slope in the graph then match the answer

During a solo competition for playing the flute, Sandra was given the following scores by four of the five judges:
6, 8, 9, and 8. What score would the fifth judge need to give her so that her average score from the five judges
was 8.0?

Answers

Answer: she needs a 9 from the fifth judge

Step-by-step explanation: so you have 5 judges and to get a perfect score you need 8. when you multiply the amount of judges by the score of 8 you get 40 witch is 100%, and when you add 6+8+9+8 you get 31 so there is 9 missing to get 40 so the answer is 9.

In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?
(1)8
(2)2√7
(3)2√10
(4)4

Answers

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

[tex]c^{2} = a^{2} + b^{2} - 2ab (cos(c))[/tex]

By inserting the values in the formula, we get

[tex]c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )[/tex]

[tex]c^{2} = 16 + 36 + 12[/tex]

[tex]c^{2} = 64[/tex]

[tex]\sqrt{c^{2} } = \sqrt{64}[/tex]

c = 8.

Therefore, the length of side c would be 8.

The length of side [tex]\( c \)[/tex] is 8. The option (1) is correct.

To find the length of side [tex]\( c \)[/tex] in triangle ABC given [tex]\( a = 4 \), \( b = 6 \)[/tex], and [tex]\( \cos C = -\frac{1}{4} \),[/tex] we use the cosine rule:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos C \][/tex]

Substitute the given values:

[tex]\[ c^2 = 4^2 + 6^2 - 2 \cdot 4 \cdot 6 \cdot \left(-\frac{1}{4}\right) \][/tex]

[tex]\[ c^2 = 16 + 36 + 12 \][/tex]

[tex]\[ c^2 = 64 \][/tex]

Now, take the square root of both sides to find [tex]\( c \):[/tex]

[tex]\[ c = \sqrt{64} \][/tex]

[tex]\[ c = 8 \][/tex]

Therefore, the length of side [tex]\( c \)[/tex] is 8.

When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?


A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)

Answers

The answer is C

Insert y=X-2 into the equation y=-X+2

You will get the point (2,0)

Insert y=2X-1 into the same equation

you will get the point (1,1).

Without solving for the last point

you will realize that your answer is C

Note: This approach is appropriate for solving objective questions

On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36. Over the next 4 years, the annual growth rate was 4.15%. The growth in the price of this stock can be modeled by the function where P represents the price, in dollars, and t represents the number of years since the last day in April 2009. Which function can be used to represent the price of a share of stock in this entertainment corporation on the last day in June 2011?

Answers

Answer:

Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $

Step-by-step explanation:

Given:

Initial price=$5.36

Rate=4.15 %

To Find:

Function which represents the growth price for stock market?

Solution:

As the function is growing one and with same rate and depends upon the time period ,

So the exponential function as

[tex]P=A(1+R)^t[/tex] will the required function ,

So P will be price of stock at t time period with R as rate for  function.

A be the previous year price

From 2009 to 2013 rate is 4.15 %

we have to find price after 2 years

So t=2  , A at 2009 =5.36$

So P at 2011 will be given by,

[tex]P=A(1+R)^t[/tex]

[tex]P=5.36(1+0.0415)^2[/tex]

[tex]P=5.36(1.0415)^2[/tex]

[tex]P=5.8141 $[/tex]

Help??????????????????(

Answers

Step-by-step explanation:

Tn = n² - 3

Now

the first three terms

t1 = 1² - 3 = 1 - 3= -2

t2 = 2² - 3= 4 - 3 = 1

t3 = 3² - 3 = 9 - 3 = 6

----------------

The first three terms are -2 , 1 , 6

and

tenth term

t10= 10² - 3= 100-3 = 97

Hope it will help you :))

Answer:

-2, 1, 6  and the 10th is 97

Step-by-step explanation:

to find the terms, in a row, replace n with 1

nth = 1^2 -3   -2 is the answer  (1^2) is 1 -3 = -2

then replace the n with 2, 3, 4 etc till you have your sequence

nth = 2^2 -3  1 is the answer (2^2) is 4 -3 = 1

nth = 3^2 -3  6 is the answer (3^2) is 9-3 = 6

nth = 4^2 -3  13 is the answer (4^2) is 16-3 = 13

nth = 5^2 -3  22 is the answer (5^2) is 25-3 = 22

etc to 10

nth = 10^2 -3 97 is the answer (10^2) is 100 - 3 = 97

sequence is -2, 1, 6, 13, 22, . . . . 97

Three students take equivalent stress tests. Which is the highest relative score (meaning which
has the largest z score value)?
a. A score of 144 on a test with a mean of 128 and a standard deviation of 34
b. A score of 90 on a test with a mean of 86 and a standard deviation of 18
c. A score of 18 on a test with a mean of 15 and a standard deviation of 5​

Answers

B is the correct answer with the explanation of a score of 90 on a test with a mean of 86 and a standard deviation of 18.

The highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

What is z-score?

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.

Given that, three students take equivalent stress tests, we need to calculate the highest relative score among them,

Z-score = X-μ / σ,

X = observed value, μ = mean and σ = standard deviation

a) A score of 144 on a test with a mean of 128 and a standard deviation of 34 :-

Z-score = X-μ / σ

Z-score = 144-128 / 34 = 0.47

b) A score of 90 on a test with a mean of 86 and a standard deviation of 18 :-

Z-score = X-μ / σ

Z-score = 90-86 / 18 = 0.22

c) A score of 18 on a test with a mean of 15 and a standard deviation of 5​ :-

Z-score = X-μ / σ

Z-score = 18-15 / 5 = 0.6

Hence, the highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

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Explain how to add fractions with the same denominator. Use
3/8 + 2/8 as an example. Use the words numerator and
denominator in your response.

Answers

Step-by-step explanation:

To add fractions with the same demonator for example 3/8 + 2/8 you would add 3 +2 = 5 The numerator would be 5 and the demonator would stay the same. You would get an answer of 5/8

Answer:

Step-by-step explanation:

[tex]\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}\\\\=\frac{5}{8}[/tex]

If two fractions have same denominator, add the numerator and write the common denominator.

Solve for j . −1/3=/j4−10/3​

Answers

Answer:

j = 12

Step-by-step explanation:

Solve for j by simplifying both sides of the equation, then isolating the variable.

What is the product of 3x(x2 + 4)?
O x² + 3x +4
O 3x3 + 4
O 3x3 + 12x
3x² + 12x

Answers

Answer:

3x³ + 12x

Step-by-step explanation:

Given

3x(x² + 4) ← multiply each term in the parenthesis by 3x

= 3x³ + 12x

Answer:

3x^3 +12x

Step-by-step explanation:

3x^3 +12x

What is the graph to the piecewise defined function g(x) = { x+4, -5<=x<=-1

2-x, -1<=x<=5?

Answers

Answer:

third graph, see attached in case the order changes

Step-by-step explanation:

g(x) = { x+4, -5<=x<=-1

            2-x, -1<=x<=5

The graph will change at -1, so we can eliminate the first graph

It changes completely so we can eliminate the second graph

From -5 to -1 the slope is positive 1 so it will increase from left to right

The last graph decreases, so it has a negative slope at -5.  We can eliminate the last graph

That leaves us the third graph

g(x) = x+4, -5《x《-1

At x = -5, g(x) = -1

At x = -1, g(x) = 3

g(x) = 2-x, -1《x《5

At x = -1, g(x) = 3

At x = 5, g(x) = -3

4c = 3 C =
please help me I am late for hw and ned this question done asap

Answers

Answer:

4c=4 c=3/4

Step-by-step explanation:


How many solutions does the system have?
5x — y = 2
5x—y = -2

Answers

Answer: no solution

Step-by-step explanation:

True or false: opposite angles of a square are supplementary angles

Answers

Answer:

True

Step-by-step explanation:

Supplementary angles are those that sum up to 180 degrees. A square is a polygon with all its angles measuring 90 degrees. This means that opposite angles are both 90 degrees. And, since 90 + 90 = 180, that means that a square's opposite angles are supplementary.

Hope this helps!

Answer:

True

Step-by-step explanation:

Supplementary angles add up to 180

All angles in a square are 90.

Opposite angles add up to 180°

There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85

Answers

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.

To solve this, we can set up two equations based on the number of coins and their total value.

Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:

d + q = 15

The second equation is based on the total value of the coins:

0.10d + 0.25q = 2.85

To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:

d + 2.5q = 28.5

Subtracting the first equation from this results in:

1.5q = 13.5

Dividing by 1.5 gives us the number of quarters:

q = 9

Substituting q = 9 into the first equation gives us the number of dimes:

d + 9 = 15

d = 6

Therefore, there are 6 dimes and 9 quarters in the cup.

In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?

Answers

Answer:

9/41

Step-by-step explanation:

Cosine = adjacent/hypotenuse

The value of the ratio which represents the cosine of ∠G is, cos G = 40/41

We have to give that;

In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.

Now, By the formula;

⇒ cos θ = Base / Hypotenuse

Hence, We get;

⇒ cos G = GH / GF

⇒ cos G = 40/41

Therefore, the value of ratio which represents the cosine of ∠G is,

⇒ cos G = 40/41

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Does the function model exponential growth or decay? h(t)=0.25\cdot 1.5^th(t)=0.25⋅1.5 t

Answers

Answer

Answer:

growth

Step-by-step explanation:

srry im late

From a standard deck of 52 cards, what is the probability of picking a 6 at random from the deck?

Answers

Answer:

Only 4 out of 52 cards are 6.

4/52 = 1/13

Probability is 4/13

Answer:

4/52 or 1/13

Step-by-step explanation:

There are 4 of each card in a deck except for Jokers. Therefore, the answer is 4/52 or 1/13

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