Jerome makes and sells his own energy drinks. He mixes a liquid drink mix with water to create his own special blend. Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual. Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink. Who is correct: Jerome’s brother or Jerome’s sister? As you complete the task, keep this question in mind: Based on what you know about ratios, what do you think the answer will be? Directions: Complete each task, reading the directions carefully as you do. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and on the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Finding the part-to-part and part-to-whole ratios To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix? (2 points) What is the ratio of drink mix to water? (2 points) What is the ratio of drink mix to mixed energy drink? (2 points) What is the ratio of water to mixed energy drink? (2 points) Step 2: Testing Jerome’s brother’s approach Jerome’s brother told him to add one cup of water for every one cup of drink mix he add

Answer:

$11091.23

Step-by-step explanation:

Reword the situation:

She purchased a car for 18791 dollars 39 months ago.

As the 39 months passed she has been paying 197.43 a month.

How much does she still owe for her car?

First find out how much she's paid so far.

For 39 months she has been paying 197.43 a month

So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars

Now subtract amount she's paid so far from total price of car.

18791 - 7699.77 = 11091.23

She still owes 11091.23

Answer:

1. -5.7

Step-by-step explanation:

When a negative number and another negative number are being added together (but this differs in multiplication and division though), the answer will always be negative, unless a greater positive (combination or single) number is being added to those, but in this case, it is just two negative numbers. What you can do here is add the absolute values of the negative numbers, which would be 1.8 + 3.9, since absolute values are always positive numbers. Once you add these values, which gives you 5.7, you make the answer negative, because before, you were adding negative numbers, so your answer would be -5.7.

Just so you can make sure your answers are correct for the next ones:

2. -2

3. -4.4

Answer:

divide the given line into halves

Answer:

this is the answer....

Answer:

x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   = = x - -4.3016389  and x - 4.3016389

Step-by-step explanation:

1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3)  = (5/4x+3)  = ( 1/2x^2-6 5/6)  = (5/4x+3)  convert 5/4 to  12ths = *3 =  15/12  and 5/6 * 2 = 10/12 =  ( 1/2x^2-6 10/12)  = (15/12x+3)  = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0   = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2  (2)- 15/12x (2) -3 10/12 (2) = 0 =  x^2 - 30 /12x -6 20/12 (2) = 0  simplify irregular fraction  x^2 - 2 2/4x  -7 3/4  = 0  then do the abc quadratic formula = x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   =  x-  -17.2065556/4   = x - -4.3016389    and 17.2065556/4 =x - 4.3016389

Answer:

C. Hope It's Help :)))))

Answer:

4.5

Step-by-step explanation:

∛100 = ?

100 = 2 x 2 x 5 x 5

∛100

= ∛ ( 2 x 2 x 5 x 5 )

= 4.642

4.642 ~ 4.5

The approximation 4.642 can also be written as 4.5

Therefore,

∛100 = 4.5

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

Answer:

Step-by-step explanation:

    15d = -105

15d/15 = -105/15

        d = -7

15d = -105

d = -105/15

d = -7

____

RainbowSalt2222 ☔

Answer:

y=-3x+18

Step-by-step explanation:

since they gave us two points, we can find the slope: (y_2 - y_1)/(x_2 - x_1) -> (6-3)/(4-5)=(3)/(-1)=-3 so the slope is -3. now we have [tex]y=-3x+b[/tex]. next we have to find b. to do this just plug a point into the equation: 3= -3*5 +b, 3=-15+b, b=18. so now we have y=-3x+18

Answer:

Solve equation [2] for the variable y

[2] y = -2x + 1

// Plug this in for variable y in equation [1]

[1] (-2x+1) + 4x = -3

[1] 2x = -4

// Solve equation [1] for the variable x

[1] 2x = - 4

[1] x = - 2

// By now we know this much :

y = -2x+1

x = -2

// Use the x value to solve for y

y = -2(-2)+1 = 5

Solution :

{y,x} = {5,-2}

Answer:

Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always

Step-by-step explanation:

3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.

2x + 2x + 80 = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 25º

so then:

2x = 2*25

2x = 50º

and:

2x + 80 = 50 + 80

2x + 80 = 130º

follow the steps shown on the photo

9514 1404 393

Answer:

  7/5x -1/3

Step-by-step explanation:

We assume you want to simplify this expression.

  [tex]\dfrac{-3}{5}x-\dfrac{1}{4}\cdot\left(-8x+\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=-\dfrac{3}{5}x+\left(-\dfrac{1}{4}\right)\cdot(-8x)+\left(-\dfrac{1}{4}\right)\cdot\left(\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=\left(-\dfrac{3}{5}+2\right)x-\left(\dfrac{5}{24}+\dfrac{1}{8}\right)\\\\=\dfrac{7}{5}x-\dfrac{5+3}{24}=\boxed{\dfrac{7}{5}x-\dfrac{1}{3}}[/tex]

_____

Additional comment

2 = 10/5; 1/8 = 3/24; 8/24 = 1/3. The x-terms get combined and the constants get combined. It is generally helpful to eliminate parentheses first using the distributive property.

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Answer:

thanks for the points bye bye man is well with you and your family a very happy and prosperous New year

Step-by-step explanation:

thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in

thanks for the points bye bye man

Answer:

12.08-1.42=10.66

it takes 10.66 minutes on Thursday to run a mile

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

Answer:

95.80

Step-by-step explanation:

hope I helped BESTIEE

Answer:

Step-by-step explanation:

23/24 as a decimal is 0.95833333333333.

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

Answer:

B-NO CORRELATION.....

Answer:

Danielle sent 554 text messages that month.

Step-by-step explanation:

In Oct she owed: $8 + 60¢

Because 15¢ = 1 additional message => 60¢ = 4 additional messages

So Danielle sent 550 messages (=$8) and 4 additional messages (=  60¢)

=> She sent: 550 messages + 4 additional messages = 554 messages

Hope this helps!

When raising one power to another power multiply the two powers together:

(3y^3)^2 = 3y^(3 * 2) = 3y^6

Answer: 3y^6

The expression [tex](3y^3)^2[/tex] is simplified by applying the exponent rules and the value is [tex]9y^6[/tex]

Given data:

The expression [tex](3y^3)^2[/tex]  can be simplified by applying the exponent rules. To remove the exponents, we multiply the base and raise it to the power of the product of the outer and inner exponents. In this case, the base is [tex]3y^3[/tex], and the exponent is 2.

First, square the numerical coefficient, which is 3, to get [tex]3^2 = 9[/tex]. Next, apply the exponent to the variable term [tex]y^3[/tex] by multiplying the outer exponent (2) with the inner exponent (3), resulting in  [tex]y^(3 * 2) = y^6[/tex].

Hence, [tex](3y^3)^2[/tex]  simplifies to [tex]9y^6[/tex] . This means that the expression represents the result of squaring the quantity [tex]3y^3[/tex], resulting in 9 times the sixth power of y. It's essential to understand and apply exponent rules to efficiently simplify expressions and evaluate mathematical operations without using exponents directly.

To learn more about exponential form, refer:

https://brainly.com/question/29337692

#SPJ3

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

Answer: probably A

Step-by-step explanation:

Answer:

4.39%

Step-by-step explanation:

- chefs/head was facing the larger percent decrease

- by this much:

[tex] \frac{ 100 - x }{100} = \frac{95700}{100100} \\ \\ x = \frac{400}{91} \\ \\ x = 4.39\%[/tex]

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

      $20 / 5 kg = $4 / kg

$2.50 / 0.5 kg = $5 / kg

the big bag is a better deal