A recipe for cinnamon rolls calls for 3 cups of flour for every 1/3 cup of water. Using the same recipe, how much water will you need for 8 cups of flour

Answer:

Sarah would need to get a 98 on her fifth quiz to get her average to be an 88.

Step-by-step explanation:

Sarah needs to get a 58 on the fifth quiz for her quiz average to be exactly 88.Let x be the grade on the fifth quiz. The average of all five quizzes is 88. So we have: (80 + 86 + 82 + 94 + x)/5 = 88

80 + 86 + 82 + 94 + x = 440

x = 440 - 80 - 86 - 82 - 94 = 58

Therefore, Sarah needs to get a 58 on the fifth quiz for her quiz average to be exactly 88.To solve such type of questions, we can follow these steps:Read the problem carefully and identify the given information. In this case, we are given that Sarah's grades on her first four math quizzes are 80, 86, 82, and 94. We are also given that the average of all five quizzes is 88.

Formulate an equation. We can formulate the equation as follows:

Average = (Sum of all grades) / (Number of grades)

88 = (80 + 86 + 82 + 94 + x) / 5

Solve the equation. We can solve the equation by substituting the known values. This gives us:

88 = (80 + 86 + 82 + 94 + x) / 5

440 = 80 + 86 + 82 + 94 + x

x = 440 - 80 - 86 - 82 - 94 = 58

Answer the question. The question is asking what grade Sarah needs to get on the fifth quiz. We know that x is the grade on the fifth quiz, so the answer is 58.

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The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer:

• P(X=2) = 0.25

• P(X=5) = 0.25

Explanation:

A probability distribution must satisfy the following two conditions.

• P(X=x)≥0 i.e. it must be non-negative.

• The sum of P(X=x) must always be 1.

From the data given in the table, let the probabilities:

• P(X=2) = x

• P(X=5) = x

In order for the table to give a legitimate probability distribution, the sum of P(X=x) must be 1. Therefore:

Thus, if the two empty columns are filled with 0.25 each, the table is a valid probability distribution.

Note: Any other two values can be used provided that they add up to 0.5

Answer:

x+2_3x_x=2^2

2_3x=4

3x=4+2

x=6÷3

×=2 is ans

1.92307692308

Hope this helps! :D

Answer:

Thanks

Step-by-step explanation:

Thanks

Answer:

x= - 52

Step-by-step explanation:

we need to multiply  both sides by 4 to leave the x alone

so

\(\frac{-x}{4} *4= 13*4\\-x= 52\\\frac{-x}{-1}=\frac{52}{-1}\\ x=-52\)

Answer:

8x^3

you are welcome

Answer:

8x^3

Step-by-step explanation:

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

a) The resultant force on the particle is equal to - 225 · x, where x is measured in meters.

b) The particle moves with simple harmonic motion.

c) The motion has a period of approximately 1.257 seconds.

d) The particle has an approximate speed of 2.488 meters per second when it is 0.05 metres from C.

e) The equation for the position of the particle is x(t) = 0.5 · cos 25t, where t is in seconds.

In this case we have a system with a particle under periodic motion due to two reactive forces from two springs. a) The system is represented by the following formula based on Newton's laws:

∑F = - k₁ · x - k₂ · x = m · a      (1)

Where:

If we know that k₁ = k₂ = 112.5 N/m, then the resultant force on the particle is equal to - 225 · x, where x is measured in meters.

b) The particle is under simple harmonic motion has a differential equation of the form:

x'' + ω² · x = 0       (2)

Where:

By some algebraic handling on (1), we find the following differential equation:

x'' + [(k₁ + k₂) / m] · x = 0     (3)

Thus, the particle moves with simple harmonic motion.

c) The period of the motion (T), in seconds, is determined by T = 2π / ω. Then, the period is described by the following expression:

T = 2π · √[m / (k₁ + k₂)]

T = 2π · √(9 kg / 225 N /m)

T ≈ 1.257 s

The motion has a period of approximately 1.257 seconds.

d) The speed of the particle (v), in metres per second, can be found by the principle of energy conservation:

(1 / 2) · k · A² = (1 / 2) · k · x² + (1 / 2) · m · v²      (4)

v = √[k · (A² - x²) / m]

Where:

If we know that k = 225 N / m, A = 0.5 m, x = 0.05 m and m = 9 kg, then the speed of the particle is:

v = √[(225 N / m) · [(0.5 m)² - (0.05 m)²] / (9 kg)]

v ≈ ± 2.488 m / s

The particle has an approximate speed of 2.488 meters per second when it is 0.05 metres from C.

e) The function position for a particle under simple harmonic motion:

x(t) = A · cos ω · t      (5)

If we know that A = 0.5 m and ω = 25 rad / s, then the equation for the position of the particle is:

x(t) = 0.5 · cos 25t

The equation for the position of the particle is x(t) = 0.5 · cos 25t.

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The solution of the inequality 3x < 13 is x < 4.33.

None of the given option is correct.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality,

3x < 13.

Simplifying,

x < 4.33

The graph is given in the attached image.

Therefore, the solution is x < 4.33.

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Answer:

d) 1/12

Step-by-step explanation:

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

Because ABCD is a parallelogram, its opposite sides are equal. (matching angles of congruent triangles). DCB = 90o . Hence ABCD is rectangle, because it is a parallelogram with one right angle.

Note that in the prompt above, the value of x is given as: 16°

To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.

As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

In ΔAOB

OA =  OB = R, the radius of the circle O,

therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.

Thus, ∠OAB = ∠OBA = 53°

Sum of all the angles of a triangle = 180°

∠O + ∠AOB + ∠OBA = 180°

We know ∠AOB = ∠OBA, therefore,

∠O + 2(∠AOB) = 180°

∠O + 2(53°) = 180°
∠O = 180 - 106

∠O = 74°

In ΔOBC,

BC is the tangent to the circle O, therefore,

∠OBC = 90°

Sum of all the angles of a triangle = 180°

∠O + ∠OBC + ∠OCB = 180°

74° + 90° + ∠OCB = 180°

∠OCB = 180° - 74° - 90°

∠OCB = 16°

Hence, the value of x is 16°.

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Answer:

1900

Step-by-step explanation:

6500-4600=1900

...........

Answer:

6500-4600 = 1900

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Question 1

⇒ The given angles are supplementary (add up to 180°)

⇒ 6x + 6 + 8x - 22 = 180

⇒ 14x - 16 = 180

⇒ 14x = 196

⇒ x = 14

============================================================

Question 2

⇒ The given angles are complementary (Add up to 90°)

⇒ 3x + 5 + 40 = 90

⇒ 3x + 45 = 90

⇒ 3x = 45

⇒ x = 15

Answer:

I hope it can help

Step-by-step explanation:

Yan po sana maka tulong

Answer:

it is 793

Step-by-step explanation:

Given :

Question 5: find

the function f^-1 represent the inverse of the function f

so,

Answer:

C) 16

Step-by-step explanation:

(3x + 5) + 37 = 90

3x = 90 - 5 - 37

3x = 48

x = 48/3 = 16

Answer:

x = 16°

Step-by-step explanation:

It is 90° angle so their sum must be 90°( complement) .

3x + 5° + 37° = 90°

3x + 42° = 90° ... simplify the like term

3x = 90° - 42°

3x = 48°

3x/3 = 48°/3

x = 16°

So the answer is C, 16

Answer

X = 4

Step-by-step explanation:

-2x - 4 +5x = 8

-2x + 5x = 3x

3x - 4 = 8

     +4   +4

3x = 12

3x     3x

X=4

Answer:

The mom would offer her 150% of 350

=> 150/100 * 350

=> 3/2 * 350

=> 1050/2

=> 525

Therefore, the mom would offer her 525 dollars

If my answer helped, please mark me as the brainliest!!!

Thank You!!

Answer:

Step-by-step explanation:

Sophia 's payment = $350

Mom's offer = 150% of payment made by Sophia

The offer price is:

Mom would offer $525

The expression 8552/16 is solved using area model below.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

8,552 ÷ 16 = ( ? ÷ 16) + ​(​ 480 ÷ 16 ​)​ + ​(​ ? ÷ 16 ​)​ + (8÷16)

1. 8,552 ÷ 16=8000/16+480/16+64/16+8/16

=500+30+4+1/2

8,552 ÷ 16=534.5

Hence,

           8,552 ÷ 16=534.5

2. 8,552 ÷ 16 = 8000/16 + 30 + 64/16 + 8/16

3. 8,552 ÷ 16 = 534 1/2

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At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Answer:

\( d = 7 + 3\sqrt{3} \) and

\( d = 7 - 3\sqrt{3} \)

Step-by-step explanation:

To solve the equation, \( d^2 - 14d - 22 = 0 \), using the quadratic formula,

Recall: quadratic formula = \( \frac{-b ± \sqrt{b^2 - 4ac}}{2a} \)

Where,

a = 1

b = -14

c = 22

Plug in your values into the formula and solve:

\( \frac{-(-14) ± \sqrt{(-14)^2 - 4(1)(22)}}{2(1)} \)

\( \frac{14 ± \sqrt{196 - 88}}{2} \)

\( \frac{14 ± \sqrt{108}}{2} \)

\( d = \frac{14 + \sqrt{108}}{2} \)

\( d = \frac{14 + 6\sqrt{3}}{2} \)

\( d = (\frac{2(7 + 3\sqrt{3})}{2} \)

\( d = 7 + 3\sqrt{3} \)

And

\( d = \frac{14 - \sqrt{108}}{2} \)

\( d = \frac{14 - 6\sqrt{3}}{2} \)

\( d = (\frac{2(7 - 3\sqrt{3})}{2} \)

\( d = 7 - 3\sqrt{3} \)

Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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