After dinner, Mirna had a second serving of her chocolate bar, eating 3
more pieces. Which equation shows how much she has left of the
whole candy bar after this second serving ?

A.) 5/8 - 3/8 = 2/8

B.) 8/8 - 3/8 = 5/8

C.) 8/8 - 5/8 = 3/8

D.) 3/8 - 2/8 = 1/8

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer: \(\angle XWY \cong \angle ZWY\)

Step-by-step explanation:

We know that \(\overline{WY} \cong \overline{WY}\) by the reflexive property, so we need the included angles to be congruent (meaning \(\angle XWY \cong \angle ZWY\)

The value of the test statistic used in this test is t = -2.168 and the P-value of this test is P-value is 0.034

To test whether the mean time for Dr. McCoy is different from the mean time for Dr. Turk, we can use a two-sample t-test with unequal variances. The test statistic for this test is given by:

t = (X₁ - X₂) / √(s₁²/n₁ + s₂²/n₂)

where X₁ and X₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Plugging in the given values, we get:

t = (78 - 78.7) / √(2.3²/38 + 4.1²/33)

= -2.168

Therefore, the value of the test statistic used in this test is t = -2.168.

b) To find the P-value of this test, we need to use a t-distribution with degrees of freedom given by:

df = (s₁²/n₁+ s₂²/n₂)² / [ (s₁²/n₁)²/(n₁-1) + (s₂²/n₂)²/(n₂-1) ]

Plugging in the given values, we get:

df = (2.3²/38 + 4.1²/33)² / [ (2.3²/38)²/37 + (4.1²/33)²/32 ] ≈ 65.385

Using a t-distribution table or a calculator with t-distribution function, we find that the P-value for a two-tailed test with t = -2.168 and df = 65.385 is approximately 0.034.

Therefore, the P-value of this test is P-value = 0.034

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

14.204 years

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The correct answer is the option A because in one-to-one functions, each y value corresponds to only one x value.

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

Answer:

3/5>2/4

Step-by-step explanation:

Answer: 3/5 es mayor que 2/4. ¡Comenta abajo si esto te ha servido de ayuda! Además, ¡aplastad el botón más inteligente si mi respuesta vale la pena!

a) The terminal point is 0.896 radius length.

b) The value returned is -0.896.

We have,

The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)

a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:

x-coordinate of terminal point: -2.69

Number of radius lengths to the right: -2.69 / 3 ≈ -0.896

However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.

Thus, the number of radius lengths to the right is

Number of radius lengths to the right: -(-0.896) = 0.896

Therefore, the terminal point is 0.896 radius length.

b. Using Trigonometry

cos(h) = x-coordinate of terminal point / radius length

cos(h) = -2.69 / 3 ≈ -0.896

c. As, θ = h. From the given information, we have:

θ ≈ -0.896 radians

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Answer:

3

Step-by-step explanation:

just add one more to 2

7) The  probability that the two numbers have an even sum is: 0.5

8) The probability that the two are even is: 0.25

7) We want to find the probability that the two numbers have an even sum.

The only combinations that produces an even sum are:

(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)

The other combinations of numbers are:

(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)

Thus, we have a total of 16 combinations and the  probability that the two numbers have an even sum is:

P(two numbers with even sum) = 8/16 = 0.5

8) The probability that the two are even is:

4/16 = 1/4

= 0.25

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This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer:

To increase, use 1.3

to decrease, use .7

Step-by-step explanation

total number of students = 51

total number of accounting students = 23

total number of chemistry student = 17

number of students that takes both accounting and chemistry = 4

total number of probabilities = 23 + 17 - 4

= 36

the probability of randomly chosen student taking accounting or chemistry

= 36/51

= 12/17

therefore, the probability of randomly chosen student taking accounting or chemistry is 12/17

The circumference of the circle is 340 units.

What is circle ?

In geometry, a circle is a two-dimensional shape consisting of all points that are a fixed distance (called the radius) from a given point (called the center). A circle is a set of points that are equidistant from the center.

Let's use the formula relating the length of an arc to the circumference of a circle:

Length of arc = (central angle / 360) x circumference

Plugging in the given values, we get:

17 = (18/360) x circumference

Simplifying and solving for the circumference, we get:

circumference = 17 x (360/18) = 17 x 20 = 340

Therefore, the circumference of the circle is 340 units.

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The value of angle m∠F is  42°.

What are the Exterior angle properties of triangle?

If in a triangle any side is extended, the outside angle or exterior angle formed results is equal to the sum of the two opposite internal angles.

Here we are given a triangle ΔGHF

m∠F = ∠HFG = 4x + 6

∠G = ∠FGH = 70°

and exterior angle ∠GHJ = -5 + 13x

Here side FH of ΔGFH is extended .

so by using exterior property of triangle i.e,

Exterior angle = sum of opposite interior angles.

∠GHJ =∠FGH + ∠GFH

-5 + 13x = 70 + (4x + 6)

13x - 4x = 70 + 6 + 5

9x = 81

x = 81/9

x = 9.

Therefore m∠F = ∠GFH = (4x+6)

m∠F = 4×9+6

m∠F = 42°

So we got the value of angle m∠F is  42°.

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Answer:

20% of the number is 44.0.

Step-by-step explanation:

Let's say the number is "x".

We can start by setting up two equations based on the given information:

0.55x = 121

0.75x = 165

We can solve for x by dividing both sides of each equation by the coefficient of x:

x = 121/0.55 ≈ 220.0

x = 165/0.75 = 220.0

Now that we know the value of x, we can find 20% of it by multiplying it by 0.20:

0.20 * 220.0 = 44.0

Therefore, 20% of the number is 44.0.

If we try to solve 2(3+5x)=6+5x, we start by distributing the 2:

     2 ( 3 + 5x ) = 6 + 5x

           6 + 10x = 6 + 5x

Next, we'd subtract 5x from both sides:

             6 + 5x = 6

Then we'd subtract 6 from both sides:

                    5x = 0

Then we divide by 5 to fully isolate x:

                      x = 0

This equation is only true if x=0, so it would be "sometimes true" given the three options.

The cost of students ticket is $37.5and the cost of general admission is $187.5.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Assume s be the students tickets cost and g be the general admission cost.

From the given information,

⇒  s + g = 225             ..(1)

 5s + 7g = 1500         ..(2)

From equation (1),

s = 225 - g

Plug the value of s in equation (2)

5(225 - g) + 7g = 1500

1125 - 5g + 7g = 1500

                  2g = 1500 - 1125

                  2g = 375

                    g = 187.5

Plug g = 125 in equation (1),

s + 187.5= 225

        s = 225 - 187.5

        s = 37.5

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Answer:

800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits

160 biscuits × 3 grams butter/biscuit = 480 grams butter

160 biscuits × 2 grams sugar/biscuit = 320 grams sugar

Katie needs 320 grams sugar.

Kate needs 270g of sugar to make the maximum number of biscuits possible.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;

⇒ 800g + 550g

= 1350g of the mixture.

Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.

We can do this by adding up the ratio numbers;

(5+3+2) = 10.

Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.

So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:

2/10 = x/1350

We can solve for x by cross-multiplying:

2 × 1350 = 10x

2700 = 10x
x = 270

Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.

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The equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d) is: d = 2t

To determine the equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d), let's analyze the given table.

Since the table displays the relationship between time and distance, we can observe the pattern and infer the equation. Let's assume that Rita walks at a constant speed.

Table:

Time (t) Distance (d)

10 2

20 4

30 6

40 8

50 10

From the table, we can see that the distance Rita walks is always twice the amount of time she spends on the treadmill. This implies that for every 10 units of time, Rita walks 2 units of distance. Therefore, we can conclude that the relationship between time and distance can be represented by a linear equation.

Let's define the equation:

d = m * t

In this equation, 'd' represents the distance, 't' represents the time, and 'm' represents the slope or rate at which Rita walks.

From the given table, we can observe that for every 10 units of time (t), the distance (d) increases by 2 units. This indicates that the slope (m) of the equation is 2.

Therefore, the equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d) is:

d = 2t

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Answer:

x = 9

Step-by-step explanation:

\(a^{2} = c^{2} - b^{2}\)

\(a^{2} = 15^{2} - 12^{2}\)

\(a^{2} = 225 - 144\)

\(a^{2} = 81\)

\(\sqrt{a^2} = \sqrt{81}\)

\(a = 9\)

Answer:

304/9 as fraction

33.7 decimal

I cannot say steps i apologize.

Step-by-step explanation:

x = 415.

Check attached image 1.

So at this point, we know the measures of the angles, in terms of "x", which is a variable. We may use the implicit information in the drawing to find more information. Such as the total measure of the sum of angles DBE and CBE. This total measure equals 90°, we know this because there's a square drawn on the base of both angles. Whenever you see a square drawn at the base of an angle, it means the measure of that angle is 90°, a right angle.

Check attached image 2.

We know that the sum of angles DBE and CBE equal 90°. Hence:

\(DBE+CBE=90\)

In terms of variable "x", this is:

\((0.1x-22)+(0.3x-54)=90\)

\(0.1x-22+0.3x-54=90\)

\(0.1x+0.3x-54-22=90\\ \\0.4x-76=90\)

\(0.4x-76+76=90+76\\ \\0.4x=166\)

\(\frac{0.4x}{0.4} =\frac{166}{0.4} \\ \\x=415\)

To see if "x = 415" is the correct answer, take the original equation, substitute "x" by "415" and, if the same number appears on both sides of the equal (=) sign, then we've found our answer!

\((0.1x-22)+(0.3x-54)=90\\ \\(41.5-22)+(124.5-54)=90\\ \\(19.5)+(70.5)=90\\ \\90=90\)

x = 415.