RJ's recipe for cupcakes calls for sugar, flour, and milk in the ratio of 3:4:2. If a batch of
cupcakes contains 12 tablespoons of flour, how many tablespoons of sugar does it contain?
A) 9 tablespoons
B) 6 tablespoons
C) 10 tablespoons
D) 15 tablespoons

Answer:

Specific camper-to-counselor ratios should be set (see ACA’s recommended camper supervision ratios) with your camp’s needs in mind. Ratios should be determined based on the age and ability of campers as well as your camp’s layout and topography. Consider when campers must be with counselors (e.g., at activity areas or when in the cabin) and when it might be okay for them to travel with just a buddy (e.g., when going to the bathroom if it is in eyesight of the counselor, or perhaps farther if the campers are older). Keep in mind that other staff members in a specific area can be held accountable for more than just the campers in their immediate vicinity. For example, some camps have a low-key period during the day where the entire camp is given freedom to travel between activities in a controlled, well-defined area. In this situation, staff members might be assigned to provide complete coverage throughout the area, around its perimeter, and, if necessary, at specific activities and off-limits areas. At all times, proper general supervision should be maintained and monitored by supervisors who roam the area and monitor supervision.HOPE THIS HELPS :)

We can see that the car gas tank was filled to 10 1/2 gallon

Since $15.25 was paid, we need to know the cost of the gas per gallon

Mathematically, we can express 10 1/2 as 10.5

So the cost per gallon will be;

amount paid/capacity of gas tank filled

That would be; 15.25/10.5 = 1.452381

This is approximately $1.45 per gallon of gas

Answer:

D

Step-by-step explanation:

-16p + 37 = 49 -21p

-16p +21p = 49 - 37

5p = 12

p = 12/5

A.

-55 + 12p = 5p + 16

7p = 71

p = 71/7

B.

2+1.25p = -3.75p +10

5p = 8

p = 8/5

C.

-14 + 6p = -9 -6p

12p = 5

p = 5/12

D.

1.5p - 5 + 2.25p = 7 - 1.25p

5p = 12

p = 12/5

Answer:

d

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

The military term most often used for retreat is withdraw. It means that some advanced position, the battle cannot be won or turned around. So you withdraw from the field.

A: advance. No you are doing the exact opposite of retreat.

B: attack. Same as A. You are leaving the field with retreat.

C: Surrender is an entirely different thing. It means that you have given up the field and are not willing to fight anymore.

D: answer

The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)

To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).

So, we can rewrite the denominator as

\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)

Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)

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Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

The value of x in the angles is 19.

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, let's find the value of x in the intersecting lines.

Hence,

7x - 8 = 6x + 11 (vertically opposite angles)

Vertically opposite angles are congruent and they share the same vertex point.

Hence,

7x - 8 = 6x + 11

subtract 6x from both sides of the equation

7x - 8 = 6x + 11

7x - 6x - 8 = 6x - 6x + 11

x - 8 = 11

add 8 to both sides of the equation

x - 8 + 8 = 11 + 8

x = 19

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Answer:

To find the monthly payment for a 3-year auto loan at 4% annual interest compounding monthly, we can use the formula for **monthly payment for a loan**:

```

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

```

where:

- M is the monthly payment

- P is the principal or amount borrowed

- i is the monthly interest rate

- n is the number of months

In this case, the principal or amount borrowed is $18,000 and the down payment is $2,000. Therefore, the principal amount that needs to be financed is $16,000.

The monthly interest rate can be calculated by dividing the annual interest rate by 12. In this case, the annual interest rate is 4%, so the monthly interest rate is 4% / 12 = 0.00333333.

The number of months can be calculated by multiplying the number of years by 12. In this case, the number of months is 3 years x 12 months/year = 36 months.

Now we can substitute these values into the formula:

```

M = $16,000 [ 0.00333333(1 + 0.00333333)^36 ] / [ (1 + 0.00333333)^36 – 1]

```

Simplifying this expression gives us:

```

M = $468.43

```

Therefore, Carmen's monthly payment will be **$468.43** .

Answer:y=-4

Step-by-step explanation:

Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

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Answer:

55.4068881439

Step-by-step explanation:

Lets first find the feet they walk per day, multiply the steps by the feet/step:

\(10,388*2.5=25970\)

Now lets find the feet/week by multiplying that value by 7:

\(25970*7=181790\)

Now lets convert the feet to km:

\(181790/3281=55.4068881439\)

Resulting in approximately 55 kilometers

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The gravitational force that the moon produces on the Earth is approximately \(1.98 \times 10^{20}\ \mathrm{N}$.\)

What is gravitational force?

Gravitational force is the force of attraction that exists between any two objects in the universe with mass. This force is directly proportional to the masses of the objects and inversely proportional to the square of the distance between their centers.

The gravitational force that the moon produces on the Earth can be calculated using the formula:

\(F = G \cdot \frac{m_1 \cdot m_2}{r^2}\)

where:

\(G$ = gravitational constant = $6.67430 \times 10^{-11}\ \mathrm{N(m/kg)^2}$\)

\(m_1$ = mass of the moon = $7.34 \times 10^{22}\ \mathrm{kg}$\)

\(m_2$ = mass of the Earth = $5.97 \times 10^{24}\ \mathrm{kg}$ (approximate)\)

\(r$ = distance between the centers of the Earth and the moon = $3.88 \times 10^8\ \mathrm{m}$\)

Substituting these values into the formula, we get:

\(F &= 6.67430 \times 10^{-11} \cdot \frac{7.34 \times 10^{22} \cdot 5.97 \times 10^{24}}{(3.88 \times 10^8)^2} \&= 1.98 \times 10^{20}\ \mathrm{N}\)

Therefore, the gravitational force that the moon produces on the Earth is approximately \(1.98 \times 10^{20}\ \mathrm{N}$.\)

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Answer:

Y=x+3

Step-by-step explanation:

Substitute c=3 and m=1 in eqn 1

y=1x+3

y=x+3

Thus the required equation of the line is found

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

Answer: 38

Step-by-step explanation: srry if its wrong.

Answer:

Its 43.5 units squared

Step-by-step explanation:

I tried the other guys who answserd answer and got it wrong look at the hint and it said that this is the correct answer

The value of the given mathematical expression is a 5/6.

According to the statement

we have to find the value of the 2y/X from the given statement.

So, For this purpose, we know that the

Mathematical expression is an expression is a combination of numbers, variables, functions.

From the given information, The expression is a:

13/(5x + y)= 1/y

Now, rearrange it then

13y/(5x + y)= 1

13y = (5x + y)

Now solve it then the value becomes

13y - y = 5x

12y = 5x

Divide it with the 6 then

2y = 5x/6

Then

2y/x = 5/6.

Now, the expression value becomes is 5/6.

So, The value of the given mathematical expression is a 5/6.

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Answer:

Step-by-step explanation:

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

  180° -x° = (60° +80°)/2

  180 -70 = x . . . . . . . . . . . divide by °, add x-70

  x = 110

__

The external angle where secants meet is half the difference of the intercepted arcs.

  59° = (180° -y°)/2

  118 = 180 -y . . . . . . . multiply by 2, divide by °

  y = 180 -118 . . . . . add y-118

  y = 62

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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Answer:

h>22

Step-by-step explanation:

Answer:

18% off

Step-by-step explanation:

i just took the test

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

26 inches

Step-by-step explanation:

Elementary row operations are always applied to an augmented matrix after the solution has been found. So the option D is correct.

Elementary row operations:

1. It is possible to convert a system of linear equations into an equivalent system, or into a new system of equations that has the same solutions as the original system, using these straightforward techniques.

2. In order to convert a matrix to row echelon form, Gaussian elimination is used.

3. Simple row operations on an augmented matrix never alter the underlying linear system's solution set.

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Answer:

Chicken feed

Step-by-step explanation:

Chicken feed: .70

Goat feed: .80

Dog feed: .75

Pig feed: .79

Answer:

Goat Feed

Step-by-step explanation:

Chicken- 1.40

Goat- 1.25

Dog- 1.33

Pig- 1.265823

Using proportions, it is found that one sandwich costs $4.25.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering x as the cost of a sandwich, the total cost is given as follows:

1.08(3x + 1.75) + 5 = 20.66.

The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:

1.08(3x + 1.75) = 15.66

3x + 1.75 = 14.5

3x = 12.75

x = 12.75/3

x = 4.25.

Hence one sandwich costs $4.25.

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heightAnswer:

12

Step-by-step explanation:

(x representing the smallest size)

x + 4x = 60

5x = 60

x = 12

the height is 12

to confirm:

12 x 4 = 48

48 + 12 = 60