There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually attend the camp?

Answer:

See below

Step-by-step explanation:

2/3 v +6 = 1/3 v - 2      subtract 1/3 v from both sides of the equation to get

1/3 v + 6 = - 2              subtract 6 from both sides to get

1/3 v = - 8                    Multiply both sides by 3 to get

v = -24

Answer:

\( \sf \large \: v=−24\)

Step-by-step explanation:

2/3v+6=1/3v-2

Step 1: Subtract 1/3v from both sides.

2/3v+6−1/3v=1/3v−2−1/3v

1/3v+6=−2

Step 2: Subtract 6 from both sides.

1/3v+6−6=−2−6

1/3v=−8

Step 3: Multiply both sides by 3.

3*(1/3v)=(3)*(−8)

v=−24

Answer:

To find GCF we need to find what these expressions have in common

30x²=5*3*2x²

45x⁵=5*3*3x²x³

Now we can see, that GCF=5*3*x² = 15x²

Answer :

15x²

Step-by-step explanation:

\(30x^{2}=2\times \left( 15x^{2}\right) \\45x^{5}=3x^{3}\times \left( 15x^{2}\right)\)

Then the greatest common factor is 15x²

Answer:

Step-by-step explanation:

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

Learn more about velocity

https://brainly.com/question/30559316

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

Read more about Map Interpretation at: https://brainly.com/question/29042604

#SPJ1

Answer:

ok so this sounds kind of fancy but constant of proportionality just mean cups sold by amount made

9/12=0.75

so c

Hope This Helps!!!

Answer:

When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

For more questions on: combinations

https://brainly.com/question/29595163

#SPJ8                  

Answer:

16

Step-by-step explanation:

If x = 3, then all we must do is substitute.

y=7(3)-5

y= 21 -5

y= 16

---

Hope I helped :)

The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

Know more about vector field here;

https://brainly.com/question/102477

#SPJ11

"y" will represent the total cost per month

"x" will represent the number of movies watched in one month

There are two streaming plans:

Plan A

Has a monthly fee of $16 plus $2 per movie watched.

→ So if he watches no movies in a month, he will pay $16 and for each movie watched he will pay an extra $2

You can represent the monthly cost of plan A as follows:

Plan B

Has a monthly fee of $12 plus $3 for every movie watched.

The monthly cost of the plan can be expressed as follows:

For both equations the y-interceot represents the monthly fee of the plan and the slope of the line is the cost per movie.

To determine the number of movies (x) that would make both plans cost the same for one month using a graph, you have to draw both lines and determine the point where they intercept. The x-coordinate of said point will be the number of movies that make both plans cost the same.

To draw the lines you have to determine at least two points of the line.

The easiest point will be the y-intercept, for the second point, choose any value of x, replace it in the formula and calculate the corresponding value of y. Then plot both points and draw the line.

For plan A

y-intercept, x=0

The coordinates are (0,16)

Second point, for example, for x= 2 movies

The coordinates are (2,20)

For plan B

y-intercept, x=0

The coordinates are (0,12)

Second point, for example, for x=3

The coordinates are (3,21)

The red line represents the cost with respect to the number of movies for plan A

The purple line represents the cost with respect to the number of movies for plan B

Where both lines intercept indicates the point when both plans cost the same. Said point is (4,24), which means that when you watch x=4 movies both plans will cost $24 that month.

Answer:

a. 1

Step-by-step explanation:

for the lines to be parallel, 4x+20 and 6x-10 have to be equal, so you can solve by making it 2x+10 to get 5

Answer:

its the first one to solve future questions like this you can replace the x with the answers till they both have the same number

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

The initial fee that Jabari collects is $50.

It should be noted that Jabari is power washing houses for a summer job and for every job, he charges an initial fee plus a $30.

In this case, the amount collected was $170 for a four hours job. Let the initial fee be represented as x.

Therefore, this will be illustrated as:

x + (30 × 4) = 170

where x = initial fee

x + 120 = 170

Collect like terms

x = 170 - 120

x = 50

The initial fee is $50.

Learn more about functions on

brainly.com/question/25638609

#SPJ1

Jabari is power washing houses for a summer job. For every job, he charges an initial fee plus a $30 sign, 30 for each hour of work. His total fee for a 4-hour job, for instance, is $170 sign, 170.

Jabari's total fee, f for a single job is a function of the number, t, of hours it takes him to complete the job. What is the initial fee?

Answer:

rhombus has all angles=90 degress

The answer is C) 195/8

First, we can use the fact that A, B, C, D, E, and F are concyclic and that D, E, and F are the midpoints of AB, BC, and AC respectively.

Let r be the radius of the circumcircle of triangle ABC. Then using the Pythagorean theorem, we can find that r = (151413) / (4*K) where K is the area of the triangle.

Now we can use the property that the perpendicular bisectors of any triangle pass through the circumcenter of the triangle. We know that the midpoint of a line segment is the foot of the perpendicular from that point to the other endpoint. Then we can use the property that the radius from the circumcenter of the triangle to the midpoint of a side is half the length of that side.

Therefore, the circumcenter of triangle BDE is located at X = (BD/2, DE/2) = (13/2, 7/2) and the circumcenter of triangle CEF is located at X = (CE/2, EF/2) = (15/2, 7/2).

So the coordinates of X are (13/2, 7/2) and since the circumcenter of a triangle is equidistant from each vertex of the triangle, we can find that XA = XB = XC = r = r = (151413) / (4*K)

Therefore, XA + XB + XC = 3r = 3(151413) / (4*K) = (195/8)

So the answer is c. 195/8.

To learn more about triangles visit: brainly.com/question/2773823

#SPJ4

Answer:

x=20

Step-by-step explanation:

x-1 = 19

Add 1 to each side

x-1+1 = 19+1

x=20

Answer:

x = 20

Step-by-step explanation:

x - 1 = 19

Add 1 to both sides

x = 20

The points X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below. From the obtained graph ∠XYZ is the obtuse angle.

The given coordinates are X(5,-3), Y(4,-1) and Z(6,-2).

We need to classify ∠XYZ whether it is right, acute, or obtuse.

A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below:

The given points X(5,-3), Y(4,-1) and Z(6,-2) have positive x-coordinate and negative y-coordinate.

In the cartesian plane, the fourth quadrant positive x-coordinate and negative y-coordinate.

So, all points X(5,-3), Y(4,-1) and Z(6,-2) lie in the fourth quadrant.

From the graph, we can see that the two lines make an obtuse angle, which is more than 180° and less than 360°.

From the obtained graph ∠XYZ is the obtuse angle.

To learn more about the obtuse angle visit:

https://brainly.com/question/4022946.

#SPJ1

Answer:

and H(3,7), I(2,2), J(5,2).

To solve for the perimeter, we need to find the distance between each pair of consecutive points and add them up.

The distance between E and F is 3 units, between F and G is approximately 5.83 units, between G and H is 5 units, between H and I is approximately 5.83 units, and between I and J is 3 units.

So the perimeter of EFG is approximately 22.66 units.

Now, we need to check if HIJ has the same side lengths.

The distance between H and I is 5 units, between I and J is 3 units, and between J and H is approximately 5.83 units.

Therefore, HIJ does not have the same side lengths as EFG since their perimeters are different.

He on that good shi...............

The significance of an association and some problems encountered when tests of significance are applied to coefficients of association are discussed below.

Any of the several coefficients or factors used in statistics to quantify a relationship between two or more variables. The chi-square test, Spearman rank-order correlation coefficient, and Pearson's correlation coefficient are a few examples of association metrics. Measures of association are frequently used in a wide range of research areas, but they are especially common in the disciplines of epidemiology and psychology because they enable the measurement of relationships between exposures and conditions or behaviors.

Any of a number of studies, such as correlation and regression analysis, can be used to find a measure of association. (Although the terms correlation and association are sometimes used synonymously, correlation strictly speaking refers to linear correlation, whereas association refers to any link between variables.) The procedure used to gauge an object's strength The properties of the data for each variable affect association. Data can be measured on an ordinal/rank scale, a nominal/categorical scale, or an interval/ratio scale.

To learn more about correlation click here:

brainly.com/question/28898177

#SPJ4

if the value of x doubles, the value of y will also double, since y is directly proportional to x with a constant of 5. Therefore, the answer is 28. So correct option is A.

In mathematics, an equation is a statement that shows that two expressions are equal to each other. An equation typically consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), which are separated by an equals sign (=).

Equations are used to represent mathematical relationships and to solve problems in a variety of fields, including physics, engineering, economics, and finance. They can be linear or non-linear, and they may involve one or more variables.

If the equation is y = 5x, and the value of x doubles, then the new value of x would be 2x. To find the corresponding value of y, we can substitute 2x for x in the equation:

y = 5(2x)

y = 10x

So if the value of x doubles, the value of y will also double, since y is directly proportional to x with a constant of 5. Therefore, the answer is 28.

To know more about proportional visit:

https://brainly.com/question/17485667

#SPJ1

Answer:

7

Step-by-step explanation:

4 times at an addition of 4, then a subtraction of 12

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

2.5 cm, 6.5 cm, and 6 cm are the sides of a right triangle.

The sides of a triangle are 2.5 cm, 6.5 cm, and 6 cm in length.

The Pythagorean Theorem states that The sum of the squares representing the base and height equals the square of the hypotenuse.

\((Perpendicular)^{2}+(Base)^{2}=(Hypotenuse)^{2}\)

                        \((2.5)^{2}+(6)^{2}=(6.5)^{2}\)

                            6.25 + 36 = 42.25

                                  42.25 = 42.25

The sides offered satisfy the specifications for a right triangle.

Given that it satisfies the Pythagorean theorem, a right triangle with sides of 2.5 cm, 6.5 cm, and 6 cm can be built.

Hence, 2.5 cm 6.5 cm 6 cm can be the sides of a right triangle.

To learn more about triangle here:

https://brainly.com/question/2773823

#SPJ4

Answer:

25% decrease

Step-by-step explanation:

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer: 40.2

Step-by-step explanation:

Answer:

40 remainder 5

Step-by-step explanation:

Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

▪︎▪︎▪︎▪︎▪︎▪︎