The Chemistry Club is experimenting with different mixtures of water with a

certain chemical to make fake snow.

To make each mixture, the students start with some amount of water, and then add

1/7 of that amount of the chemical, and then 9 more grams of the chemical. The

chemical is expensive, so there can't be more than a certain number of grams of the

chemical in any one mixture. How much water can you start with so that you don't

use up too much of the chemical?

a. 1/7x + 9 < 26.25

b. 9x + 1/7 s 26.25

26.25x + 9 = 1/7

C.

d. 1/7x + 26.25 39

Answers

Answer 1

Answer:

Suppose we have with x, the amount of water we use (in grams).

1/7 of this will be the chemical, then we have (1/7)*x grams of chemical.

Then we add another 9g of the chemical, then we have in total:

(1/7)*x + 9g of the chemical.

And we know that the chemical is expensive, so there can't be more than a given number of grams of the chemical, because of the phrase:

"...There can't be more than..."

We will have a relation like:

(1/7)*x + 9g ≤ something.

By looking at the options, we can see that "something" = 26.25 grams

then we will have the inequality:

(1/7)*x + 9g ≤ 26.25 g

Now we can solve this for x, the amount of water used:

(1/7)*x ≤ 26.25 g - 9g

x ≤ (26.25 g - 9g)*7

x ≤ 120.75 grams

This means that the maximum amount of water we can use is 120.75 grams of water.


Related Questions

Shirts are on sale for $12 at a clothing store. How many shirts can you buy with $48?

Answers

Answer:

4 if no tax is included because 4 times 12 equals 48

hope this helps

Step-by-step explanation:

Answer:

4 shirts in total,

12x4=48

Step-by-step explanation:

Hope this helps!

If f ( x ) = 6 x + 54 with f ( x ) = y , what is the vertical intercept?

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

x - intercept(s) : ( -9, 0 )

y - intercept(s) : ( 0, 54 )

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?M

Answers

Answer:

The total number of pencils that Mr. Moretti gives to his is 162.

Step-by-step explanation:

He puts 3 mechanincal pencils in each bag.

In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.

So in each bag, 3 + 6 = 9 pencils.

What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?

18 students, and each gets 9 pencils.

18*9 = 162

The total number of pencils that Mr. Moretti gives to his is 162.

Answer:

162 pencils

Step-by-step explanation:

i did the i ready lesson!

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B or 137.5.  :)

B or 137.5
.........

your friend earns $10 babysitting. This is 3 more than you earn for washing the car. How much do you make for washing the car

Answers

Answer:

$7

Step-by-step explanation:

$10 - $3 = $7

Help im giving brainliest

Answers

Answer:

Help with what ?

Answer:

can I have it pls I am begging you oh and there is no question so I cannot answer anything

Step-by-step explanation:

Plzz help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

400+80x and 80(5+x)

Step-by-step explanation:

20 is 16% of what number?

Answers

It is 80 !!!!!!! That’s the number

Answer:

80-

Step-by-step explanation:

20 percent (calculated percentage %) of what number equals 16? . well ofc as i said- its 80

Answer this correctly and I will give brainslist + 10 points from question (:

Answers

Answer:

a

Step-by-step explanation:

find the area of the trapezoid. if the answer is not an integer, leave it in simplest radical form, The figure is not to scale. (image included)

Answers

Answer:

420 ft^2

Step-by-step explanation:

[tex]h = \sqrt{25 ^{2} - 7 } [/tex]

[tex] = \sqrt{570} [/tex]

[tex] = 24[/tex]

[tex]a = \frac{1}{2} (b1 + b2)h[/tex]

[tex] = \frac{1}{2} (14 + 21)(24)[/tex]

[tex]answer = 420ft ^{2} [/tex]

Answer:

245 ft sq

Step-by-step explanation:

Find the are of the triangle and the square seperatly.

Area of a square is A = s * s

A = 14  * 14 = 196 ft sq

Focusing on the triangle, the dotted line is the same length as the bottom of the square. 14 ft

Area of a triangle is A = 1/2 * b * h

A = 1/2 * 14 * 7

A = 7 * 7

A = 49 ft sq

So, 196 + 49 = 245

I need help please =)

Answers

Answer:

27

Step-by-step explanation:

111÷4=27.75

Hope this helps!

Answer:

27

Step-by-step explanation:

111/4 = 27

How is the expression “the product of six and eight added to eleven” written?

Answers

Answer:

(5*8)+11 is the expression

Answer:

(6x8)+11

Step-by-step explanation:

The members of a youth dance company were asked their favorite ice cream flavors for
an upcoming party to celebrate a competition win. The results are displayed in the bar
graph below.
Based on the information in the graph, which of the following statements are true?
Choose one. 10 points
Favorite Ice Cream Flavors
10
8
6
Amount
4
2
0
Vanilla - 6
Strawberry - 5
Cookies & Cream - 9
Butter pecan - 3
Chocolate - 2

Answers

Answer:

2

Step-by-step explanation:

-7 2/3+(-5 1/2) +8 3/4=

Answers

Exact Form : -53/12
Decimal Form : -4.416
Mixed numbers : -4 5/12

Step-by-step explanation:

Please refer to the attachment

c2 - 6c-5
Evaluate the expression when c = -2

Answers

-2(2)-6(-2)-5
-4+12-5
Answer is 3

Please help ASAP please and thank you have a great and blessed day!

Answers

Answer:

I RLY HOPE THIS IS CORRECT WISH THE BEST OF LUCK

Answer:

12.08

Step-by-step explanation:

If you order these numbers from least to greatest, you would get...

12.08, 12.087, 12.7, 12.78, 12.807

The least second it took to complete the race is 12.08

hope you have a wonderful day too! <3

Milan is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $70
Let "s" represent the total amount of money in the savings account (in dollars), and let "W" represent the number of weeks Mila
has been adding money. Write an equation (y = mx + b), relating "s" to "W". Then, use this equation to find the total amount of
money in the savings account after 12 weeks." (10 points)

Answers

Answer:

equation: s = 70W + 750

answer for 12 weeks: 1590

Step-by-step explanation:

You replace W with 12 to get the total amount per 12 weeks.

help help help help help help

Answers

The answer has to be A,

Can you simplify 41/24

Answers

Answer:

1 17/24

Step-by-step explanation:

If you want to turn it into a mixed number, divide.

24 goes into 41 1 time

41-24=17

1 17/24

A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:

Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1

a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?

Answers

Answer:

A) PB M(b, m), we have;

b = 1

b = 2

b = 3

B) E(B) = 1.7

C) No they are not independent

Step-by-step explanation:

A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;

For PB M(b, m), we have;

b = 1

b = 2

b = 3

B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60

Factory R is 180 miles from the company. Thus under factory R in the table, m = 180

Now;

P_B (b) for b = 1 which is small order is;

P_B (b) = 0.3 + 0.2 = 0.5

P_B (b) for b = 2 which is medium order is;

P_B (b) = 0.1 + 0.2 = 0.3

P_B (b) for b = 3 which is large order is;

P_B (b) = 0.1 + 0.1 = 0.2

Thus;

E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)

E(B) = 0.5 + 0.6 + 0.6

E(B) = 1.7

C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.

Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.

Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;

0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60

Which regression equation best fits these data?
х
y
1-2, 16).16)
15
-5
11
21.15)
-3
14
.6314
.(-5.11
10
(372)
- 2
16
4,9)
-1
16
1
15
3
12
6
4.
9
5
6
O A. y = -0.59x + 12.5
B. y = 0.30x2 + 0.48x + 15.83
C. y = 12.00 0.94%

Answers

Answer:

a will be the correct answer bro be sure

The Regression equation best fits these data is ŷ = -0.58939x + 12.52235

We have the table as from which can be calculated as

Sum of X = 2

Sum of Y = 99

Mean X = 0.25

Mean Y = 12.375

Sum of squares (S[tex]S_x[/tex]) = 89.5

Sum of products (SP) = -52.75

As, Regression Equation

ŷ = b x + a

where b = SP/S[tex]S_x[/tex]

b = -52.75/89.5

b = -0.58939

and, a = MY - b MX

a = 12.38 - (-0.59)(0.25)

a = 12.52235

So, the required equation is ŷ = -0.58939x + 12.52235

Learn more about Regression line here:

https://brainly.com/question/7656407

#SPJ7

find the product (ab-3)^2

Answers

Answer:

a^2b^2 -6ab + 9

Step-by-step explanation:

need help geometry question central angles and arcs plsss

Answers

Measure of angle HFG is 250°

What is the domain and range as an inequality and if you could explain how you got it that would be great

Answers

Answer:

As per the graph, the function starts at point (0, -2) point it self not included.

The graph is extended down and right, so the given point is maximum of the function.

The domain:

x > 0 or x = (0, +∞)

The range:

y < -2 or (- ∞, -2)

Range

Set of y values

(-oo,-2)

As -2 is not included (open dot)

Domain

Set of x values

(0,oo)

0 is not included (open dot)

Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair
(1, 2) represents the selection of boards 1 and 2 for inspection.
(a) List the ten different possible outcomes.
(b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.

Answers

Answer:

a) S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}

b) p(x) = 0.3 if x = 0

          = 0.6 if x = 1

          = 0.1 if x = 2

          = 0 otherwise

Step-by-step explanation:

Given - Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair  (1, 2) represents the selection of boards 1 and 2 for inspection.

To find - (a) List the ten different possible outcomes.

              (b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.

Proof -

(a)

Given that there are 5 computer boards

Let,

The Boards are 1, 2, 3, ,4 and 5.

Now,

Total Number of possible ways of selecting 2 boards out of 5 by inspection = ⁵C₂ = [tex]\frac{51}{2! (5-2)!}[/tex] = [tex]\frac{5!}{2! 3!}[/tex] = [tex]\frac{5.4.3!}{2! 3!}[/tex] = [tex]\frac{5.4}{2.1}[/tex] = 10  

And the choices be

Choice I -

Boards 1 and Board 2

Choice II -

Board 1 and Board 3

Choice III -

Board 1 and Board 4

Choice IV -

Board 1 and Board 5

Choice V -

Board 2 and Board 3

Choice VI -

Board 2 and Board 4

Choice VII -

Board 2 and Board 5

Choice VIII -

Board 3 and Board 4

Choice IX -

Board 3 and Board 5

Choice X -

Board 4 and Board 5

And

These outcomes becomes

S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}

(b)

Given that,  X be the number of defective boards

And there are only two defective boards (Board 1 and Board 2) in the lot

Therefore,

X can be 0, 1, and 2.

Now,

If X = 0

⇒ There is no defective boards

⇒ Possible outcomes be - { (3,4), (3,5), (4,5) }

So,

P(X=0) = [tex]\frac{3}{10}[/tex] = 0.3

Now,

If X = 1

⇒ There is one defective board

⇒ Possible outcomes be - { (1,3), (1,4), (1,5), (2,3), (2,4), (2,5) }

So,

P(X=1) = [tex]\frac{6}{10}[/tex] = 0.6

Now,

If X = 2

⇒ There is two defective boards

⇒ Possible outcomes be - { (1,2) }

So,

P(X=2) = [tex]\frac{1}{10}[/tex] = 0.1

And

P(x) = 0 if x ≠ 0, 1, 2

SO, The pmf be

p(x) = 0.3 if x = 0

      = 0.6 if x = 1

      = 0.1 if x = 2

      = 0 otherwise

Evaluate the expression where x=5 and y =2

Answers

Answer:

6

Step-by-step explanation:

What happen when you multiply a number by it's reciprocal?

Answers

Answer:

When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .

Helpppppppppppppppppp

Answers

The number on top of sigma is the number of terms.

The answer is C. 8 terms.

c
Solve for m:
3/4m - 3 = 9
May I please have help!

Answers

Answer:

m=16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  3/4*m-3-(9)=0

Step 1: Simplify 3/4

Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0

Step2: Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        3     3 • 4

   3 =  —  =  —————

        1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m - (3 • 4)                               3m - 12

—————4———————  =  ———4————

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(m-16)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (m-16)  = 0

6.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    m-16 = 0

Add  16  to both sides of the equation :

                     m = 16

What is m<4? Pls help me

Answers

Answer:

65°

Step-by-step explanation:

180-115=65

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