if jack has three packs of gum and sam has 4 packs of gum. how much do they have in total

Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

\( = - (( - \frac{x}{4} )) = - 5\)

\( = \frac{x}{4} = - 5\)

step (ii) :-

multiply '4' on both sides we get

\( = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4\)

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

Answer:

e and f

Step-by-step explanation:

there is a great app to use called algebrator it helps me everyday for things like this <3

You meant x³ = 1/8? Then x = 1/2

Answer:

80

Step-by-step explanation:

The equation of finding a slope is y2-y1/x2-x1.

y-5/-7-(-21)=5

y-5/-7+21=5

y-5/15=5

y-5=75

y=80

Answer:

The dog or a squirrel

Step-by-step explanation:

Answer:

I think cats, no hate against cats I love them.

Step-by-step explanation:

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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Answer:

Let's call the cost of a blouse "b" (in dollars). Then, according to the problem, the cost of a dress is 3/4 of the cost of a blouse, or (3/4)b.

We know that Vicky paid $350 for 3 dresses and 4 blouses, so we can set up the equation:

3(3/4)b + 4b = 350

Simplifying this equation, we get:

9/4 b + 4b = 350

Combining like terms, we get:

17/4 b = 350

To solve for b, we can multiply both sides by 4/17:

b = 350 × 4/17 = $82.35 (rounded to two decimal places)

Therefore, the cost of a dress is:

(3/4)b = (3/4)($82.35) = $61.76 (rounded to two decimal places)

So each dress cost $61.76.

Answer:

-5 Faces

-10 Edges

-6 Vertices

Step-by-step explanation:

Folded out there are 3 rectangles and 2 triangles, 5 faces

Count the straight lines, no dotted, it's 10 edges

Count the corners only and the top of the triangles 6 vertices

Answer: Each person has 2 legs and each dog has 4 legs. So, the total number of legs is 2X + 4Y. We know that the total number of legs is 38. Therefore, we can write the equation:

2X + 4Y = 38

To solve for X and Y, we need another equation. We know that the total number of people and dogs in the park is X + Y. But we don't know the total number of people and dogs, so we can't use this equation directly. However, we do know that X and Y are both non-negative integers (since you can't have a negative number of people or dogs). So, we can try different values of X and Y until we find a solution that satisfies both equations.

Let's start by trying X = 1 and Y = 0. Plugging these values into the first equation, we get:

2(1) + 4(0) = 2

This is not equal to 38, so this is not the solution. Let's try X = 0 and Y = 1:

2(0) + 4(1) = 4

This is also not equal to 38. Let's keep trying different values of X and Y:

X = 1, Y = 1: 2(1) + 4(1) = 6

X = 2, Y = 1: 2(2) + 4(1) = 10

X = 3, Y = 1: 2(3) + 4(1) = 14

X = 4, Y = 1: 2(4) + 4(1) = 18

X = 5, Y = 1: 2(5) + 4(1) = 22

X = 6, Y = 1: 2(6) + 4(1) = 26

X = 7, Y = 1: 2(7) + 4(1) = 30

X = 8, Y = 1: 2(8) + 4(1) = 34

X = 9, Y = 1: 2(9) + 4(1) = 38

We have found a solution! When there are 9 people and 1 dog in the park, there are a total of 38 legs.

The distance she drove east from the starting point is 54.54 miles.

The given parameters include;

initial displacement of Erica, d₁ = 25 miles south

final position of Erica, d₂ = 60 miles east

The displacement of Erica from the initial position as shown in the diagram is calculated as;

Apply Pythagoras theorem, to solve for x;

x² = d₂² - d₁²

x² = 60² - 25²

x² = 2975

x = √2975

x = 54.54 miles

Therefore, the distance she drove east from the starting point is 54.54 miles.

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Answer:

38.66 meters.

Step-by-step explanation:

Let's denote the height of the building as 'h' (to be determined). Given that the tower is 30m high, we can use trigonometry to solve for the height of the building.

From the information provided, we can form a right triangle with the height of the tower as one side, the height of the building as another side, and the distance between the tower and the building as the hypotenuse.

Considering the angle of depression of 30 degrees, we have the following equation:

tan(30°) = h / d

Where 'd' is the distance between the tower and the building. We don't have the exact value of 'd,' but we can use the second angle of depression to find the relationship between 'd' and the height of the tower.

Using the angle of depression of 45 degrees, we have:

tan(45°) = 30 / d

We can rearrange this equation to solve for 'd':

d = 30 / tan(45°)

Now we can substitute this value of 'd' into the first equation:

tan(30°) = h / (30 / tan(45°))

To find the value of 'h,' we can solve this equation:

h = (30 / tan(45°)) * tan(30°)

Using a calculator, we can calculate the value of 'h' to be approximately 38.66 meters.

Therefore, the height of the building is approximately 38.66 meters.

Answer:

x - 11

Step-by-step explanation:

f(x) = -5x - 4

g(x) = 6x - 7

Find f(x) + g(x).

To find the sum of f(x) and g(x), we must substitute f(x) and g(x) with the given equations:

(-5x - 4) + (6x - 7)

To solve, we combine like terms.

-5x + 6x = x

-4 + (-7) = -11

Therefore, we end up with x - 11.

Hope this helps.

Answer:

Is there a chart for this ?

Answer:

c) 30

Step-by-step explanation:

this is the answer for usa test prep !!

Answer:

984760

Step-by-step explanation:

Answer:

(0,1) and (1,4)

Step-by-step explanation:

Answer:

50 children tickets; 60 adult tickets

Step-by-step explanation:

Let a = number of adult tickets.

Let c = number of children tickets.

a + c = 110

5a + 3c = 450

  -3a - 3c = -330

  5a + 3c = 450

------------------------

   2a        = 120

a = 60

a + c = 110

c = 50

Answer: 50 children tickets; 60 adult tickets

Yes, the number of spaces you move random.

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Equation to represent the relationship between a and b is b = -2a

On a number line, if a number b is located the same distance from 0 as another number a, but in the opposite direction, and the number b differs directly with the number a, it means that as a increases, b also increases, and as a decreases, b also decreases in the same manner.

To represent this relationship, we can use the equation b = -ka, where k is a constant of proportionality. Since b and a are in opposite directions, we include a negative sign in the equation.

To find the value of k, we can use the given example b = 8 when a = 4. Plugging these values into the equation, we get 8 = -k * 4. Solving for k, we divide both sides of the equation by -2, which gives us k = -2.

Therefore, the equation that represents the relationship between a and b is b = -2a.

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Answer:

-5¹⁰

Step-by-step explanation:

(-5⁵)² = -5⁵ˣ² = -5¹⁰ = 9,765,625

The measure of each angle in the diagram is as follows:

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

Therefore, the measure of each angle in the diagram can be calculated as follows:

10y = 7x + 4 (vertically opposite angles)

3y + 11  = 4x -22(vertically opposite angles)

Therefore,

10y - 7x = 4

3y - 4x = -22 - 11

10y - 7x = 4

3y - 4x = -33

multiply equation(ii) by 1.75

10y - 7x = 4

5.25y - 7x = - 57.75

subtract equation(ii) from equation(i)

Hence,

4.75y = 61.75

y = 61.75 / 4.75

y = 13

Therefore,

10(13) - 7x = 4

130 - 7x = 4

130 - 4 = 7x

7x = 126

x = 126 / 7

x = 18

Therefore, the unknown angles are as follows;

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The definite integral that computes the volume of the solid generated by revolving the region bounded by the graphs of y = \(x^{3}\) and y = x between x = 0 and x = 1 about the y-axis is ∫[0,1] π\(x^{2}\) dx.

To compute the volume of the solid generated by revolving the region bounded by the graphs of y = \(x^{3}\) and y = x between x = 0 and x = 1 about the y-axis, we can use the method of cylindrical shells.

The integral that represents the volume is given by ∫[a,b] 2πx * f(x) dx, where a and b are the x-values that define the region of interest, and f(x) represents the difference between the upper and lower functions involved. In this case, the upper function is y = x, and the lower function is y = \(x^{3}\).

In the given problem, the region of interest lies between x = 0 and x = 1. The radius of each cylindrical shell is x, and the height of each shell is given by the difference between the two functions, f(x) = x - \(x^{3}\). Therefore, the integral that computes the volume is ∫[0,1] 2πx * (x - \(x^{3}\)) dx.

Simplifying the expression, we have ∫[0,1] 2π(\(x^{2}\) - \(x^{4}\)) dx. Expanding the integral yields ∫[0,1] 2π\(x^{2}\) dx - ∫[0,1] 2π\(x^{4}\) dx. Evaluating these integrals results in the final expression for the volume: ∫[0,1] π\(x^{2}\) dx.

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

Step-by-step explanation:

If sin theta > 0,

Before we can determine the quadrant that theta lies, we need to calculate the value of theta first as shown;

\(sin \theta > 0\\\theta > sin^{-1}0\\\theta > 0^0\)

Since theta > 0°, this means that the value of theta is always positive, and since sintheta is positive in the first and second quadrants, hence the terminal side of theta lies in the FIRST AND SECOND QUADRANT

The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

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Answer:

Step-by-step explanation:

We shall use the pythogorean theorem. So, the hypotenuse is 37 and 15 is a^2.

So, we will have:

\(15^2+x^2=37^2\)

Then, we will have:

\(225+x^2=1369\)

Then, we will subtract 225 from both sides:

\(x^2=1144\)

We will then have:

\(\sqrt{4\cdot286} = \sqrt{2^2\cdot286} \text{the 2 gets canceled out and we will get}\\2\sqrt{286}\) which is in simplest form.

The probability that a player will complete this game between 21.8 and 25.2 hours is 0.6826 (rounded to four decimal places).

The mean time to play the game (μ) = 23.5 hours

Standard deviation (σ) = 1.7 hours

We need to find the probability that a player will complete this game between 21.8 and 25.2 hours. A new video game follows a normal distribution. The normal distribution curve with the given mean and standard deviation is shown below:

We need to find the area between 21.8 and 25.2 hours under the curve.

Using the z-score formula,z = (x - μ) / σFor x = 21.8,z = (21.8 - 23.5) / 1.7 = -1

For x = 25.2,z = (25.2 - 23.5) / 1.7 = 1

Now, we need to find the area between -1 and 1 under the standard normal distribution curve which is equal to the difference between the two areas shown below:

Area between z = -1 and z = 1 = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826

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Answer:

c = 11

Step-by-step explanation:

We are given the equation of:

\(\displaystyle{\sqrt{c} \cdot \sqrt{c} = 11}\)

The property of square root where same square roots multiply each other:

\(\displaystyle{\sqrt{a} \cdot \sqrt{a} = \left(\sqrt{a}\right)^2 = a}\)

Hence:

\(\displaystyle{\sqrt{c} \cdot \sqrt{c} = 11}\\\\\displaystyle{\left(\sqrt{c}\right)^2 = 11}\\\\\displaystyle{c= 11}\)

Therefore, the value of c is 11.

Emmanuel makes pancakes for his family for breakfast.

Answer:

ku=a

Step-by-step explanation:

We are given

\(u = \frac{a}{k} \)

and we need to solve for a. First let multiply k by both sides to isolate a.

\(ku = a\)