Rachel wants to use cottage cheese and yogurt to increase the amount of protein and calcium in her daily diet. An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. How many ounces of cottage cheese and yogurt should Rachel eat each day to provide 57 grams of protein and 840 milligrams of calcium?

Answer:

[tex]n=\frac{-360}{A-180}[/tex]

Step-by-step explanation:

Step 1: Write out equation

[tex]A=\frac{180(n-2)}{n}[/tex]

Step 2: Multiply both sides by n

[tex]An=180(n-2)[/tex]

Step 3: Distribute

[tex]An=180n-360[/tex]

Step 4: Subtract 180n on both sides

[tex]An-180n=-360[/tex]

Step 5: Factor out n

[tex]n(A-180)=-360[/tex]

Step 6: Divide both sides by (A - 180)

[tex]n=\frac{-360}{A-180}[/tex]

Answer:

The value of k that would make Deanna's claim to be true is k = 4

Step-by-step explanation:

The given transformation that Deanna has a claim for = Rotation

Deanna's claim. the minimum rotation of a polygon about its center that carries the polygon onto itself = The interior angle of the polygon

We note that the rotation of a regular polygon about its center that carries the polygon onto itself = The exterior angle of the polygon

Therefore, given that for a polygon with more than 5 sides, the exterior angle of the polygon < The interior angle of the polygon, Deana statement can be said to be true for the case of a square

Here;

The exterior angle of the polygon = The interior angle of the polygon 90

The value of k which is the number of sides of the polygon, for a square = 4

Therefore, the value of k that would make Deanna's claim to be true is k = 4.

Answer:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Step-by-step explanation:

We want to solve the quadratic inequality:

[tex]9x^2-15x<6[/tex]

In order to solve a quadratic inequality, find its zeros. That is, let the inequality sign be an equal sign and solve for x. We do this because it denotes when the graph crosses the x-axis: that is, when it is positive and/or negative. This yields:

[tex]9x^2-15x=6[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned} 9x^2-15x-6 &= 0\\ 3x^2 - 15 -6 &= 0 \\ (3x+1)(x-2) &= 0\end{aligned}[/tex]

By the Zero Product Property:

[tex]\displaystyle 3x + 1 = 0 \text{ or } x - 2 = 0[/tex]

Hence:

[tex]\displaystyle x = -\frac{1}{3}\text{ or } x = 2[/tex]

Now, we can test intervals. The three intervals are: all values less than -1/3, values between -1/3 and 2, and all values greater than 2.

To test the first interval, let x = -1. Substitute this into our original inequality:

[tex]\displaystyle \begin{aligned}9(-1)^2 -15(-1) \, &?\, 6 \\ 9+15 \, &? \, 6 \\ 24&> 6 \xmark \end{aligned}[/tex]

The resulting symbol is "greater than," which is not our desired symbol.

To test the interval between -1/3 and 2, we can let x = 0:

[tex]\displaystyle \begin{aligned} 9(0)^2 - 15(0) \, &? \, 6 \\ (0) - (0) \, &? \, 6 \\ 0 &< 6\, \checkmark\end{aligned}[/tex]

The resulting symbol is indeed less than. So, the interval (-1/3, 2) is a part of our solution.

Finally, to test the third interval, let x = 3. Then:

[tex]\displaystyle \begin{aligned} 9(3)^2 - 15(3) \, &? \, 6 \\ (81) - (45) \, &? \, 6 \\ 36 &> 6\end{aligned}[/tex]

Again, this is not our desired symbol.

In conclusion, our only solution is the interval:

[tex]\displaystyle \left(-\frac{1}{3}, 2\right)[/tex]

Or as an inequality:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Answer:

Each magazine costs 3.90

Step-by-step explanation:

Take the total cost and divide by the number of magazines

46.80/12

3.90

Answer:

3.90$ per magazine is paid

Answer:

A, B and D

Step-by-step explanation:

There are two inverse linear functions graphed. One of the is decreasing up to x = 3 excluded, the other one is increasing from the point x = 3 included.

Domain range of the decreasing one is:

Domain range of the increasing one is:

Correct choices are: A, B and D

Note: A and B are same

Answer:

37:39

Step-by-step explanation:

You write the amount of circles then add 37 to 2 and make a ratio table.

Answer: 37:39

Step-by-step explanation: there are 37 circles and there are 39 shapes in all (37 circles plus the two hearts)

Answer:

x = 31 °

Step-by-step explanation:

90 = 58 + x

x = 90 - 58

x = 31 °

Answer:

x° = 32°

Step-by-step explanation:

∠BAC = ∠IAK = 58° (Vertically opposite angles)

∠GCJ = ∠ACB = x° (Vertically opposite angles)

Angles of a Δ ABC = 180°

Δ ABC = 90° + 58° + x° = 180°

⇒x° = 180° - 90° - 58 °

⇒x° = 32°

Step-by-step explanation:

In order to meet at point F, line DF must travel from the top line to the bottom line. If it crosses through E, the midway, that means that it is halfway to the bottom line. This means the distance D E is equal to E F, because both are the distance from midpoint E to one of the sides (top or bottom).

If D E and E F are equal length, then AB and BF must be the length as well, as it is the length DF line takes to get halfway down from the top. Since they are the same length, A F must be twice the length of AB.

Hope this helped!

Answer:

A.) 9 points

B.) 3 lines

C.) 2 planes

D.) P, N, G / M, N, O / R, N, S

E.) U, T, O, S  / There are multiple ways but that will take a while sorry. :)

F.) M, N, O

G.) N

H.) S

I.) I don't know sorry

J.) Line D

Hope this Helps! :)

In geometry, lines, planes and points are very important for description purpose. The answers to the given questions can be stated as follows:

A. 9 points (Points - M, N, O, P, Q, R, S, T, U)

B. 3 lines (Lines - MO, PQ, RS)

C. 2 planes (Planes - K and L)

D. (P, N, Q) , (M, N, O), (R, N, S)

E. (M, P, S, T)

F. M, O

G. N

H. S

I. Horizontal plane

J. Line D

Geometry is an aspect that deals with lines, planes and points. A line is a straight path that connects two points, while a plane is a flat surface which could either be a horizontal or vertical.

To solve the given questions, it is important to understand the given figure and interpret each question with respect to the terminologies in it. Example: Collinear points are points which are connected by a straight line, while non-collinear points are points that can not be linked by a straight line.

Therefore, the answers to the questions are as follows:

A. 9 points (Points - M, N, O, P, Q, R, S, T, U)

B. 3 lines (Lines - MO, PQ, RS)

C. 2 planes (Planes - K and L)

D. (P, N, Q) , (M, N, O), (R, N, S)

E. (M, P, S, T)

F. M, O

G. N

H. S

I. Horizontal plane

J. Line D

Reference: https://brainly.com/question/17721067

Answer:

y = -8

Step-by-step explanation:

-18+2 = 5y-3y

-16 = 2y

y = -8

If you need more explaining notify me

Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

Answer:

A car parked on a hill, A raised weight, A snow pack.

Step-by-step explanation:

To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.

Three examples of objects that have potential energy are,  a child at the top of the seesaw in play-ground, water in dam, rock kept at some finite height of hill.

What is Potential Energy ?

The energy possessed by a body due to its position or configuration is known as potential energy. when an object is at rest, velocity is equal to zero, thus velocity of the object doesn't contribute to potential energy, it only depends upon gravitational constant "g", height h of the object above the Earth's surface and mass m of the object.

The basic formula to determine the Potential Energy possessed by the body is given by :

P.E = mgh

examples of objects that are having potential energy are :

1) a child at the top of the seesaw in play-ground.

2) water in dam.

3) rock kept at some finite height of hill.

Learn more about "Energy" here:

https://brainly.in/question/49548283

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Answer:

mZRST = 155°, mZRSU  = 102°

Step-by-step explanation:

Given that mZRST = (12x - 1)º, mZRSU = (9x - 15),  and mZUST = 53°.

We know that mZRSU + mZUST = mZRST (since S is a common point)

So, (9x - 15)º + 53° = (12x - 1)º

Expanding the brackets we have

9x - 15 + 53 = 12x - 1

collecting like terms, we have

53 - 15 + 1 = 12x - 9x

54 - 15 = 3x

39 = 3x

Dividing through by 3, we have

x = 39/3

x = 13°

So, mZRST = (12x - 1)º

= 12(13) - 1

= 156 - 1

= 155°

So, mZRST = 155°

mZRSU = (9x - 15),  

= 9(13) - 15

= 117 - 15

= 102°

So, mZRSU = 102°

Answer:

NO

Step-by-step explanation:

They are equal

83 tenths divided by 10 is 8.3

Hope this helps :-)

Answer:

k^2-13+36

38n-378

Step-by-step explanation:

k^2-13k+36

k^2-13+36

The above expression can't be simplified further because they are not like terms.

18n+20n-378

38n-378

Hope this helped ;) ❤❤❤

Answer( 9 trips )

Step-by-step explanation:

44-17=27

27/3=9

basically you take away 17 kilometers she has already cycled from 44 then divide by 3 because each trip is 3 kilometers which equals 9 trips left.

hope this helped :)

Answer:

9 trips

Step-by-step explanation:

44 minus 17 equals 27

Tiana cycles 3 kilometers every trip to work so to travel 27 more kilometers she will need 9 trips

Answer:

48 people.

Step-by-step explanation:

The sequence is  3 5 7 ...

The common difference is 2 so by the 7th stop 6 lots of people have boarded and the total is:

3 + 5 + 7 + 9 + 11 + 13 = 48 people.

=

Answer:

There is no x in the question

Answer: 15

Step-by-step explanation: Easy way to do it is of you just list all the factors and find the highest common factor, 15= 1,3,5,15. 60= 1,2,3,4,5,6,10,12,15,30,60.

The common factors here are 3 and 15 the highest common factor is 15.

Now another method is to draw the division diagrams which are shown in the image below...

Answer:

Step-by-step explanation:

HCF of two or more numbers is the largest number that divides the number without leaving remainder.

Prime factorize 15 and 60

15 = 3 * 5

60 = 2 * 2 * 3 * 5

HCF = 3 * 5 = 15

Answer : The values of x are [tex]\frac{-3}{5}[/tex] and 1.

Step-by-step explanation :

The given equation is:

[tex]-2|5x-1|-3=-11[/tex]

The term -3 is moved or added to the right hand side.

[tex]-2|5x-1|=-11+3[/tex]

[tex]-2|5x-1|=-8[/tex]

The term -2 is divided to the right hand side.

[tex]|5x-1|=\frac{-8}{-2}[/tex]

[tex]|5x-1|=4[/tex]

Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.

Negative case : [tex]-(5x-1)=4[/tex]

Positive case : [tex](5x-1)=4[/tex]

Now solve both the cases.

Negative case : [tex]-(5x-1)=4[/tex]

[tex]-5x+1=4[/tex]

[tex]-5x=4-1[/tex]

[tex]-5x=3[/tex]

[tex]x=\frac{-3}{5}[/tex]

and,

Positive case : [tex](5x-1)=4[/tex]

[tex]5x=4+1[/tex]

[tex]5x=5[/tex]

[tex]x=1[/tex]

Therefore, the values of x are [tex]\frac{-3}{5}[/tex] and 1.

Answer:

0.1 atoms

Step-by-step explanation:

Typically, there is 0.1 atoms in each cubic centimeter of interstellar wind, and 10 ions in each cubic centimeter of solar wind (versus surface air which contains 3 x 10^19 molecules per cc). This means there is a great deal of dead space between the very tiny particles and collisions are rare.

Answer-1 billion

Step-by-step explanation:

Answer:

1/2 cup of lemonade per lemon

Step-by-step explanation:

2 cups of lemonade use 4 lemons

(2 cups of lemonade)/(4 lemons) =

= 2/4 cup of lemonade per lemon

= 1/2 cup of lemonade per lemon

Answer:

  (1, 5)

Step-by-step explanation:

The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.

  P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)

The point of interest is (1, 5).

Answer:

answer is c.

I got it right on edge

Function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

Given that,
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000.
To determine which function represents the annual salary for total sales of x dollars, where x is greater than $250,000.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
According to the question,
annual salary be S
S(x) = annual base salary + annual bonus earned
S(x) = 12 * 3000 + 0.025x (where x is > $250,000)

Thus, function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

Learn more about function here:

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Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13}}}}}[/tex]

Step-by-step explanation:

Given, f = 3 and g = 5

[tex] \sf{f + {g}^{2} - 3g}[/tex]

Plug the values

⇒[tex] \sf{3 + {5}^{2} - 3 \times 5}[/tex]

Evaluate the power

⇒[tex] \sf{3 + 25 - 3 \times 5}[/tex]

Multiply the numbers : 3 and 5

⇒[tex] \sf{3 + 25 - 15}[/tex]

Add the numbers : 3 and 25

⇒[tex] \sf{28 - 15}[/tex]

Subtract 15 from 28

⇒[tex] \sf{13}[/tex]

Hope I helped!

Best regards! :D

Answer:

x = 13.28

Step-by-step explanation:

basic trig ratios: using tanФ = opp/adj.

tan(38) = x / 17

x = tan(38) * 17

x = 13.28

to get more idea of the subject, read below:

The cotangent (cot)

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

Answer:

[tex]\Huge \boxed{x \approx 13.28}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle tan (\theta)=\frac{opposite}{adjacent}[/tex]

[tex]\sf \displaystyle tan (38)=\frac{x}{17}[/tex]

Multiplying both sides by 17.

[tex]\sf \displaystyle 17 \cdot tan (38)=\frac{x}{17} \cdot 17[/tex]

[tex]\sf x= 13.28185565...[/tex]

The measure of x is approximately 13.28.

[tex]\rule[225]{225}{2}[/tex]

Answer:

15

Step-by-step explanation:

1.5*10 =15

Answer:

15.

Step-by-step explanation:

1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.