In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If

1/3

of the drink is apple juice and

1/2

is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Answer:

Scalene Right i would believe!

Step-by-step explanation:

Answer:

-5+9i

Step-by-step explanation:

-2+4i-3+5i=-5+9i

The solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now the given expression is,

( -2 + 4i ) - ( 3 - 5i )

opening the brackets,we have

-2 + 4i - 3 + 5i

Rearranging them by taking alike terms together,

-2 -3 + 4i + 5i

Solving them, we get

-5 + 9i

Hence,the solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

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Answer:

greater than

Step-by-step explanation:

5(2-x) = 10-5x

-5(x+8)= -5x-40

Answer:

that's... no

Step-by-step explanation:

ok there is no way this is a thing

Answer: C

Step-by-step explanation: On Edge 2020

D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

A graph is said to be symmetric about a line if the graph remains unchanged when we reflect the graph on one side of the line to the other side.

Given is a histogram representing the amount of rainfall in the last 4 years or 48 months.

So the graph is symmetrical if we draw a line at the point 3.

Amount of rainfall is 0 - 1 inches for first 11 months. Then it is 1.01 - 2 inches for the next 8 months. Then 2.01 - 3 for the next 5 months and again 3.01 - 4 for the next 5 months. Then it is 4.01 - 5 and 5.01 - 6 for the next 8 years and 11 years respectively.

19 months has the rainfall less than 2.01 inches.

19 months has the rainfall greater than 4 inches.

Only 48 - (19 + 19) = 10 months are having rainfall in between 2.01 and 4.

So majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Hence the correct option is D.

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Your question is incomplete. The complete question with the missing part is below.

The amount of rainfall each month over the past four years is shown below.

Which statement must be true according to the histogram?

A) The data is skewed, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.

B) The data is skewed, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

C) The data is symmetrical, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.

D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Answer:

The rate of interest was approx 5.64%.

Step-by-step explanation:

The compound interest formula is :

[tex]A=p(1+\frac{r}{n} )^{nt}[/tex]

Here p = 4400

r = ?

n = 1

t = 5

A = 5790

Now putting the values in formula we get;

[tex]5790=4400(1+\frac{r}{1} )^{5}[/tex]

=> [tex]5790=4400(1+r )^{5}[/tex]

=> [tex]\frac{5790}{4400} =(1+r )^{5}[/tex]

=> [tex]1.316=(1+r )^{5}[/tex]

=> [tex]1+r=\sqrt[5]{1.316}[/tex]

r = 0.0564

In percentage it is [tex]0.0564\times100[/tex] = 5.64%

Hence, the rate of interest was approx 5.64%.

Answer:

yes the first one is best answer because its a lower # to pay over time Step-by-step explanation:

Answer:

Option c is correct answer

Step-by-step explanation:

See answer in above picture

Answer:

C. -11+2i

Step-by-step explanation:

0.13793103448

Just simple long division.

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = - 3x + 3 ( add 3x to both sides )

3x + y = 3 ( subtract y from both sides )

3x = 3 - y ( divide both sides by 3 )

x = [tex]\frac{3-y}{3}[/tex]

Change x back into terms of y

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

Answer:

a. O = h - 40

b. 0, 4, 8, 12

Step-by-step explanation:

Let numver of overtime hours Jim workes for defined by O.

Standard working hours in a week for Jim = 40 Hours

If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.

⇒ O = h - 40

now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be

O = 40 - 40 = 0 Hours

O = 44 - 40 = 4 Hours

O = 48 - 40 = 8 Hours

O = 52 - 40 = 12 Hours respectively.

Answer:

8 1/6

Step-by-step explanation:

X - 1/6 = 8

Carry over the 1/6

X = 8 + 1/6

X = 8 1/6

To find out if X is correct

X (8 1/6) - 1/6 = 8

Answer:

See below.

Step-by-step explanation:

Step 1.

Take the absolute value of the negative number.

Now both numbers are positive.

Step 2.

Subtract the smaller positive number from the larger positive number.

Step 2.

The sign of the answer is the same sign as the number with the larger absolute value.

Answer:

To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.

Step-by-step explanation:

To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.

For example: 7 + -5. If you look, You are adding 5 negatives to a 7: you are subtracting 5 from 7. Subtracting a negative integer is the same as adding.

6 - -7, for example. You are subtracting 7 negatives from 6, or adding 7 to 6.

Answer:

Length = 14m

Width = 12m

Step-by-step explanation:

The length of a rectangle is 2m greater than the width.

The area of the rectangle = 168m²

Let's say the width is x meters.

The length will be (x + 2) meters.

Area of a rectangle = length × width

x(x + 2) = 168

x² + 2x - 168 = 0

Solving x by applying the quadratic formula we get;

x = 12 or -14

Since the width cannot be negative, we take 12 meters to be the dimensions of the width.

The length = 12 + 2 = 14 meters.

To find the length and width of the rectangle, we formulate an equation based on the known relationship between the dimensions and the given area. Solving the equation, we get the width as 12 m and length as 14 m.

The question is about finding the length and width of a rectangle given the area and a relationship between the two dimensions. We can set up an equation based on the information given and the formula for the area of a rectangle. Namely, the area of a rectangle is equal to its length multiplied by its width (A = lw).

According to the problem, the length of the rectangle is 2 m more than the width. We can express this relationship as L = W + 2. We also know that the area of the rectangle is 168 m2, which results in the equation (W + 2)W = 168.

Solving this quadratic equation, we find that the width (W) is 12 m and the length (L) is 14 m. These are the dimensions of the rectangle.

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Answer:

m<IHG=133°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m<ZHG+m<IHZ= m<IHG -----> by angle addition postulate

substitute the given values  and solve for x

11x-1+24=12x+13

Combine like terms

11x+23=12x+13

Group terms that contain the same variable

12x-11x=23-13

x=10

Find the measure of angle IHG

substitute the value of x

m<IHG= 12(10)+13 =133°

Answer:

m∠JNP=43°

m∠KNJ=94°

m∠KNL=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠JNP+m∠KNJ+m∠KNL=180° ----> by definition of supplementary angles

we have

m∠JNP=(2x+3)°

m∠KNJ=(3x+34)°

m∠KNL=(3x-17)°

substitute the values

(2x+3)°+(3x+34)°+(3x-17)°=180°

Combine like terms in the left side

(8x+20)=180

Subtract 20 both sides

8x=180-20

8x=160

x=20

Find the measure of m∠JNP

m∠JNP=(2x+3)°

substitute the value of x

m∠JNP=(2(20)+3)=43°

Find the measure of m∠KNJ

m∠KNJ=(3x+34)°

substitute the value of x

m∠KNJ=(3(20)+34)=94°

Find the measure of m∠KNL

m∠KNL=(3x-17)°

substitute the value of x

m∠KNL=(3(20)-17)=43°

Answer: your answer is

7a hope this helps you

Step-by-step explanation:

Answer:

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

Step-by-step explanation:

4a - b = 3

    + b + b

4a = 3 + b

Divide 4 on both sides.

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

Answer:

18

Step-by-step explanation:

90 times 0.20 = 18

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 90}}{\left( \cfrac{20}{100} \right)90}\implies 18[/tex]

The simplified version of the expression 8x + 4 + 8x - 1 is 16x + 3 by combining like terms and simplifying the constants.

To simplify the variable expression 8x + 4 + 8x-1, we will first combine all of the like terms.

In this expression, the like terms are 8x and 8x, so add these together to get 16x. Now we're dealing with the expression 16x + 4 - 1.

Next, simplify the constants by executing the addition and subtraction. 4 - 1 equals 3, so now we get 16x + 3.

Therefore, the simplified variable expression is 16x + 3.

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Answer:

With an HMO plan, you pick one primary care physician. All your health care services go through that doctor. That means that you need a referral before you can see any other health care professional, except in an emergency. Visits to health care professionals outside of your network typically aren’t covered by your insurance.

PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.

Staying inside your network means smaller copays and full coverage. If you choose to go outside your network, you'll have higher out-of-pocket costs, and not all services may be covered.

This got me 100% on the assignment!

PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.

Staying inside your network means smaller copays and full coverage.

HMO providers are paid on a per-member basis, regardless of the number of times they see a member.

This makes HMO plans a more economical choice than PPOs. An HMO generally only covers care received from the plan's contracted providers, known as “in-network” providers.

PPO plans generally are more expensive than HMO plans. However, due to the pooling of people in a PPO network, fees associated with health care will be lower for participants.

In other words, you will pay far less for services if you are in a PPO plan vs. not having insurance at all.

So, the person choose a PPO over a HMO.

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Answer:

17 = 17^1

Step-by-step explanation:

Factor the following integer:

17

17 is not divisible by 2 since 17 is odd and 2 is even:

17 = 17 (17 is not divisible by 2)

The sum of the digits of 17 is 1 + 7 = 8, which is not divisible by 3. This means 17 is not divisible by 3:

17 = 17 (17 is not divisible by 2 or 3)

The last digit of 17 is not 5 or 0, which means 17 is not divisible by 5:

17 = 17 (17 is not divisible by 2, 3 or 5)

Divide 7 into 17:

| | 2 | (quotient)

7 | 1 | 7 |  

- | 1 | 4 |  

| | 3 | (remainder)

17 is not divisible by 7:

17 = 17 (17 is not divisible by 2, 3, 5 or 7)

The alternating sum of the digits of 17 is 1 - 7 = -6, which is not divisible by 11. This means 17 is not divisible by 11:

17 = 17 (17 is not divisible by 2, 3, 5, 7 or 11)

Divide 13 into 17:

| | | 1 | (quotient)

1 | 3 | 1 | 7 |  

| - | 1 | 3 |  

| | | 4 | (remainder)

17 is not divisible by 13:

17 = 17 (17 is not divisible by 2, 3, 5, 7, 11 or 13)

No primes less than 17 divide into it. Therefore 17 is prime:

17 = 17

Since 17 is prime it has an exponent of 1:

Answer:  17 = 17^1

Answer:

(3x - 1)(3x + 1)

Step-by-step explanation:

9x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

here 9x² = (3x)² ⇒ a = 3x and 1 = 1² ⇒ b = 1, thus

9x² - 1

= (3x)² - 1²

=(3x - 1)(3x + 1) ← in factored form

Answer: The answer is C because 1/2 - 1/5 = 3/10

Answer:

Step-by-step explanation:

The answer would be negative 6 or -6.

Hope this helps!

The values for N can be any number between and including -6 and 6, because the phrase 'N is less than 6 units from 0' signifies absolute distance from zero on the number line.

In mathematics, when we say 'N is less than 6 units from 0', we are referring to absolute distance from zero on the number line. That means, N could be any number that falls within the range of -6 to 6, inclusive. This is because the less than 6 units from zero is referring to both directions on the number line. For example, -4 is less than 6 units away from 0, also 5 is less than 6 units away from 0. Thus, the possible values for N are any numbers between and including -6 and 6.

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A smaller shape would be a dilation.

A move to the right would be a transition. (As long as the letters for the triangle are in the same orientation).

The answer should be:

A dilation a translation

There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.

The transformations that transform [tex]\triangle ABC[/tex] to [tex]\triangle A"B"C"[/tex] are a translation and a dilation.

Given that:

[tex]\triangle A"B"C"[/tex] is smaller than [tex]\triangle ABC[/tex]

This means that sides of [tex]\triangle ABC[/tex] were dilated (i.e. compressed) to give the sides of [tex]\triangle A"B"C"[/tex]

Also:

[tex]\triangle A"B"C"[/tex] is at the right of [tex]\triangle ABC[/tex]

This means that [tex]\triangle ABC[/tex] was translated (i.e. shifted) to give [tex]\triangle A"B"C"[/tex]

Hence, the correct option is: a translation and a dilation.

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Answer:

For the domain indicated, the range is  {-11, -7, -3, 1, 5}

Step-by-step explanation:

Given the indicated domain of f(x) you have to replace the values in the function to find the range (the "y" values of the function).

f(-2) = 5

f(0) = 1

f(2) = -3

f(4) = -7

f(6) = -11.

So the range for this domain is {-11, -7, -3, 1, 5}

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

What is the function?

A  function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

Here given function is [tex]f(x)=2x+1;(-2,0,2,4,6)[/tex].

So,

[tex]f(-2) =- 2(-2)+1\\\\=4+1\\\\=5\\\\f(0) = -2(0)+1\\\\=1\\\\f(2) =-2(2)+1\\\\ =-4+1\\\\=-3\\\\f(4) =-2(4)+1\\\\ =-8+1\\\\=-7\\\\f(6) = -2(6)+1\\\\=-12+1\\\\=-11.\\[/tex]

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

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Where's the picture? I need to see the graph first. I wouldn't be able to find the 2 points if i couldn't see graph

Answer: =−60x2−40x

Step-by-step explanation:

(−10x)(4+6x)

=(−10x)(4+6x)

=(−10x)(4)+(−10x)(6x)

=−40x−60x2

=−60x2−40x

Answer:

f(x) = x² + 2x - 3

Step-by-step explanation:

From the graph the zeros are x = - 3 and x = 1

Thus the factors are (x + 3) and (x - 1) and

f(x) = (x + 3)(x - 1) ← distribute using FOIL

     = x² - x + 3x - 3

     = x² + 2x - 3