The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 60% pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 40 pints of a mixture that is 45% pure fruit juice?

Answer: y = -3/2x + 6, y intercept is (0, 6)

Step-by-step explanation: You are dividing 2 from both -3x and 12. -3/2x cannot be simplified any further unless it's a decimal, so we leave it as -3/2x. But, since the equation was y = -3x+12 originally, we divide 12 from 2 as well and not just from 3x, and we get 6.

Hope this helped.

Answer: [tex]144\pi[/tex] square feet

Step-by-step explanation:

[tex]A=\pi(0.00012 \times 10^{5})^{2}=\boxed{144\pi \text{ ft}^{2}}[/tex]

Answer:

36 hours

Step-by-step explanation:

To find the percentage of a number, change the percent to decimal form

20 percent = .20

Multiply this by the number

.20 * 180

36

20 percent of 180 = 36

The  values of x and y would make the following expression represent a real number is 4 and -5 respectively

The standard form of writing a complex number is given asl

z= x + iy

where

x is the real part

y is the imaginary part

Given the expression below;

(4 +5i)(x + yi)

Expand

4x + 4yi + 5ix + 5y(-1)

4x + 4yi + 5ix - 5y

Hence the  values of x and y would make the following expression represent a real number is 4 and -5 respectively

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Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

Additional comment

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

Answer:

linear; the rate of change is constant

Answer:

F(v)=0

Step-by-step explanation:

F(v) = [3x*2y, 5xx, 9yy]

Calculate the product

F(v) =[tex]\frac{d}{dv\\}[/tex] [3x*2y, 5x*x, 9y*y]

The derivative of a constant is always 0

F(v) =[tex]\frac{d}{dv\\}[/tex]((6xy,5[tex]x^{2}[/tex],9[tex]y^{2}[/tex]))

f(v)=0

The justification for whether Skyler, Robert, or Kaitlyn was right or wrong stems from how they went about their processes:

1) SKYLER'S PROCESS:

Skyler wants to resolve the following issue;

Reduce 729 to the lowest base possible as a first step; [3^(6)]^x = 9

729^(x) = 9

The next thing she did was convert 6x to 9.

Since both sides must have the same base when dealing with exponent equality, she may have transformed 9 to have the same base of 3 as the left hand side before equating the exponents.

So Skyler is wrong.

2) ROBERT'S PROCESS:

Skyler failed to capture both bases equally, as we witnessed, but Robert has now made the right decision by;

9^(3x) = 9¹

After which he equated the exponents to get;

3x = 1

x = 1/3

Thus; Robert is correct

3) KAITLYN'S PROCESS:

Kaitlyn is also accurate since she adhered to the same method, which calls for comparing bases before comparing exponents.

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Answer:

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

→ Substitute 7 f(x) into the function

7 + 10

→ Solve

17

Answer:

f(7) = 17

Step-by-step explanation:

To find f(7), substitute x = 7 in the function. Thus, you will receive:

[tex]\displaystyle{f(7)=7+10}\\\\\displaystyle{f(7)=17}[/tex]

Henceforth, the value of f(7) is 17.

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Answer:

[tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

Step-by-step explanation:

You work in the order you have: you start with your number x, so your first step will be [tex]f_0(x)=x[/tex]. then you add 2: [tex]f_1(x) =x+2[/tex]. Then you take the square root of what you have in the previous step: [tex]f_2(x) = \sqrt {x+2}[/tex]. Finally, you divide by 9: [tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

Here, the surface area, in square units, of the triangular prism is 152 units².

We know that the area of any triangle can be calculated as

Area = 1/2 * base * height

The area of any rectangular figure can be calculated as

Area = length * width

Here, the length of the rectangular portion of the prism is 8 units.

The width of the lowermost rectangle is 5 units.

The area of the uppermost rectangle = the area of the lowermost rectangle = 8 * 5 units² = 40 units²

Again the width of the middle rectangle is 6 units.

So, the area of the middle rectangle = 6 * 8 units² = 48 units²

Now, the height and base of the triangles are 4 and 6 respectively.

So, the area of the left-hand side triangle = the area of the right-hand side triangle = 2 * (1/2) * 4 * (6/2) units² = 1 * 4 * 3 units² = 12 units²

Then the area of the triangular prism = area of rectangular portion + area of triangular portion = (2 * 40 + 48) + (2 * 12) units² = (80 + 48) + 24 units² = 128 + 24 units² = 152 units²

Therefore the surface area, in square units, of the triangular prism is 152 units². So, Option C is correct.

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Substitute 5 in the place of X

[tex]f(x) = \frac{1}{8} \times 4 ^{x} \\ f(5) = \frac{1}{8} \times 4 ^{5} \\ f(5) = \frac{1}{8} \times 1024 \\ f(5) = 0.125 \times 1024 \\ f(5) = 128[/tex]

The asnwer is D

PLEASE GIVE BRAINLIEST

Answer:

Step-by-step explanation:

B=CD-A

Answer:

80

Step-by-step explanation:

we know that 1 percent of 30 is just 30 / 10 which is 3. Is 6 a multiple of 3? yes it is. 6 / 3 = 2. that means 6 is 20 percent of 30 but it hasn't been decreased by 6, it is 6. meaning that the answer is 100 - 20 which is 80

The missing equivalent forms are: a = 10%,  b = 25/100 and c = 1/2

Unit Fraction   Fraction with 100 in denominator      Percent

1/10                              10/100                                             a

1/4                                  b                                                  25%

c                                  50/100                                           50%

Complete the table by finding the missing equivalent form for each row.

From the above table, we have the following equations

a = 10/100

b = 25%

c = 50/100

The variable a must be in percentage.

So, we have:

a = 10/100

Express as percentage

a = 10%

The variable b must be a fraction with 100 in denominator

So, we have:

b = 25%

Express as fraction

b = 25/100

The variable b must be a unit fraction

So, we have:

c = 50/100

Divide the fraction by 50/50

c = 1/2

Hence, the missing equivalent forms are:

a = 10%,  b = 25/100 and c = 1/2

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Answer:

n(-9+ n) =0

Step-by-step explanation:

-9n+n^2=0   Kind of use 'reverse distributive' property

n (-9 + n) = 0

Answer:

4w + 10 = 116

Step-by-step explanation:

Call the width w.

The length is 5 more than that, so the length is w + 5

Perimeter is 2w + 2l

2w + 2(w+5) = 116

Distribute the 2 to the values in the parentheses.

2w + 2w + 10 = 116

Combine like terms

4w + 10 = 116

Answer:

okay so I can't see the last option on ur sheet but when u graph this equation the point that lies on the curve is (2,-3) so that is the vertex but if I move up this curved line it passes through the Y axis at (0,-1), the Last answer that I can't see it wouldn't happen to be (-1,6) would it

5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

Remember that any integer is also a rational number.

So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.

To do that, we can just add 1 to the lowest bound, we will et:

-47 + 1 = -46

-45 + 1 = -45

-44 + 1 = -44

-43 + 1= -43

-43 + 1 = -42

So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

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The probability of the success will be 0.3826.

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

We have

n = 8

p = 0.1

q = 1 – 0.1 = 0.9

x = 1

Then we have

P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷

P(1) = 0.3826

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Answer:

amount of coloured fabric in mm = 48

amount of white fabric in mm = 12

ratio = white fabric : coloured fabric = 12 : 48 = 1:4

Answer:

346

Step-by-step explanation:

Visitors on Friday(x)+Visitors on Saturday(2x)+Visitors on Suday(2x+234)

x+2x+2x+234=1099

5x+234=1099

5x=1099-234

5x=865

x=865/5

x=173

So, visitors on Saturday = 2x = 346

Answer:

p = 4

Step-by-step explanation:

[tex]m =\frac{p}{2} +3r[/tex]

[tex]\Longrightarrow m-3r=\frac{p}{2}[/tex]

[tex]\Longrightarrow 2m-6r=p[/tex]

[tex]\Longrightarrow p = 2m-6r[/tex]

If m = 5 and r = 1

Then

p = 2(5) - 6(1)

  = 10 - 6

  = 4

Answer:

Yes, No, No

Step-by-step explanation:

The function of an exponential graph is attached below. The first graph fits the look of an exponential graph. The rest do not.

Answer:

Yes, No, No

Step-by-step explanation:

Answer:

area:3116  perimeter:240

Step-by-step explanation:

Hii!

__________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}\circ\leftharpoonup}}[/tex]

Pelet'rimeter =

Area = 3116 cm^2

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}\circ\leftharpoonup}}[/tex]

[tex]\bullet[/tex] Let's work out the perimeter

[tex]\twoheadrightarrow\sf P=2(a+b)[/tex]. a=length & b=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf P=2(82+38)[/tex]

[tex]\bullet[/tex] Perform the addition operation

[tex]\twoheadrightarrow\sf P=2\cdot120[/tex]

[tex]\bullet[/tex] Multiply and obtain the perimeter

[tex]\twoheadrightarrow\sf P=240cm[/tex]

[tex]\bullet[/tex] Now let's find the area

[tex]\twoheadrightarrow\sf A=lw[/tex] l=length w=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf A=82\cdot38[/tex]

[tex]\bullet[/tex] Multiply and obtain the area

[tex]\twoheadrightarrow\sf A=3116cm^2[/tex]

--

Hope that this helped! Best wishes.

[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]

--

Answer:

93.18 feet

Step-by-step explanation:

Length of backyard pool = 31.74 feet

Height of backyard pool = 14.85 feet

To find = Use the formula for the perimeter of a rectangular pool.

= 2 ( length + height )

Length of fencing bought by Mirele:

2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet

Answer:

80 students are female

Step-by-step explanation:

21 are male meaning 19 are female

9 are female in French

12 are female in Spanish

total = 40

2x + 40 = 120

2x = 80

x = 40

females'  = 80

total = 80

Answer:

128 degrees

Step-by-step explanation:

B = D

B = 128

Therefore, D = 128

This shape has these characteristics:

 ⇒ there are two sets of parallel sides

      ⇒ This shape is a parallelogram

Since this shape is a parallelogram:

  ⇒ meaning that angles opposite to each other

       ⇒ equal in measure

Since ∠B and ∠D are opposite each other

  ⇒ ∠D = 125°

Answer: ∠D = 125°

Hope that helps!