there are x boys and y girls at the camp.how many children are at the camp altogether?
(EXPRESS YOUR ANSWER IN TERMS OF X AND Y )

Answer:

4

Step-by-step explanation:

5-3x+4x^2

Write the terms from highest power to smallest power

4x^2 -3x +5

The leading coefficient is the term in front of the highest power

4

Answer:

4

Step-by-step explanation:

The first step here is to rearrange the terms of this polynomial in descending order:  x^2, then x, then x^0 (nothing that x^0 = 1):

4x^2 - 3x + 5

The "leading coefficient of the polynomial) is the coefficient of the highest x power, which here is x^2:  4.

Using 3 different methods, we can find that YZ = 25m

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations

sin(θ) = (opposite cathetus)/H

cos(θ) = (adjacent cathetus)/H

tan(θ) = (opposite cathetus)/(adjacent cathetus)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent cathetus

YZ = opposite cathetus.

We want to find YZ, so with the known things, we can use the first relation:

[tex]sin(30\°) = YZ/50m[/tex]

[tex]sin(30\°)*50m = YZ = 25m[/tex]

Now let's try another way.

We know that the sum of the internal angles of a triangle is always equal to 180°

In a triangle rectangle, we always have an angle equal to 90°.

Then the missing angle for our triangle can be computed from:

Z + 90° + 30° = 180°

Z = 180° - 90° - 30° = 60°

From this angle, the side YZ is the adjacent cathetus, then we can use the second trigonometric relation:

[tex]cos(60\°) = YZ/50m\\cos(60\°)*50m = YZ = 25m\\[/tex]

Third way.

Whit the same angle we could find the side XY, the opposite cathetus, with:

[tex]sin(60\°) = XY/50m \\sin(60\°)*50m = XY = 43.3m[/tex]

Now that we know one of the catheti, we can use the last trigonometric relation

[tex]tan(60\°) = XY/YZ = 43.3m/YZ \\YZ = 43.3m/tan(60\°) = 25m\\[/tex]

If you want to learn more about triangle rectangles, you can read:

https://brainly.com/question/24330420

Answer:

Solve the equation where the sine of 30 degrees is equal to YZ/50.

Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Z to write and solve an equation.

Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.

Step-by-step explanation:

edge 2022

Answer:

perimeter=40m

Step-by-step explanation:

PERIMETER=(AREA ROOT)*4

                   =10*4=40m

3rd step

Solution:-

[tex]\\ \sf\longmapsto -2x+8-3x=7[/tex]

[tex]\\ \sf\longmapsto -2x-3x+8=7[/tex]

[tex]\\ \sf\longmapsto -5x+8=7[/tex]

[tex]\\ \sf\longmapsto -5x=7-8[/tex]

[tex]\\ \sf\longmapsto -5x=-1[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-1}{-5}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{1}{5}[/tex]

Answer:

Original number = 38

Step-by-step explanation:

10*x + y

x   = y - 5

10y + x = 2 (10x + y) +  7

10y + y - 5 = 2(10(y - 5) + y) + 7

11y - 5 = 2(10y - 50 + y ) + 7

11y - 5 = 2(11y - 50) + 7

11y - 5 = 22y - 100 + 7

11y - 5 = 22y - 93

11y + 88 = 22y

88 = 11y

y = 8

x = y - 5

x = 8 - 5

x = 3

So the original number is 38. Does that work?

3 is 5 less than 8.

83 = 2*38 + 7

83 = 76 + 7

83 = 83.         Yes it works.

Answer:

1/6x = 9

x = 54

Step-by-step explanation:

Let x = number

1/6x = 9

Multiply each side by 6

1/6x * 6 = 9*6

x = 54

Answer:

1/6n = 9 ---> the equation

x = 54 ----> equation's answer

Step-by-step explanation:

The variable used can be either x or n, doesn't really matter.

It says 1/6th of a number is 9 --> write 1/6, n for the number, and then = 9

so, 1/6n = 9

Now, you are going to multiply each side by 6

1/6x * 6 = 9 * 6 --------> 54

x = 54

Answer:

13 and 17 units

Step-by-step explanation:

explaination is in pic.

The length of the diagonals of the quadrilateral AC and BD are 13 units and 17 units respectively, as per length between two points.

The length between two given points (x₁, y₁) and (x₂, y₂) will be:

√[(x₂ - x₁)² + (y₂ - y₁)²] units

Given, the vertices of a quadrilateral are A(4,-3),B(7,10),C(-8,2)and D(-1,-5).

Therefore, the diagonals of the quadrilateral will be AC and BD.

The coordinates of the diagonal AC are (4, - 3) and (- 8, 2).

Now, the length of the diagonal AC will be:

= √[(-8 - 4)² + (2 - (- 3))²] units

= √[(- 12)² + (5)²] units

= √[144 + 25] units

= √(169) units

= 13 units                                  (length can't be negative)

Similarly, the coordinates of the diagonal BD are (7, 10) and (- 1, - 5).

Now, the length of the diagonal BD will be:

= √[(-1 - 7)² + (- 5 - 10)²] units

= √[(- 8)² + (- 15)²] units

= √[64 + 225] units

= √(289) units

= 17 units                                  (length can't be negative)

Learn more about the length between two points on a plane here: https://brainly.com/question/14898312

#SPJ2

Answer:

TRUE

Step-by-step explanation:

The answer is TRUE.

Answer:

Step-by-step explanation:

Taxable income = $ 91,307

Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785

Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5

Tax  $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75

Total tax = 1785 + 8197.5 + 4701.75 = 14684.25

Total tax = $14684

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

Work Shown:

(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)

6/4 = 8/x

6*x = 4*8

6x = 32

x = 32/6

x = 5.333 approximately

x = 6 we round up despite 5.333 being closer to 5, than it is to 6.

If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.

The section below goes over why this is the case in more detail.

---------

6 servings : 4 ounces

6/4 servings : 4/4 ounces

1.5 servings : 1 ounce

So one ounce of sauce gets us 1.5 servings.

If we multiply both sides by 5, then,

1.5 servings : 1 ounce

5*1.5 servings : 5*1 ounce

7.5 servings : 5 ounces

This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.

If we multiplied both sides by 6, then

1.5 servings : 1 ounce

6*1.5 servings : 6*1 ounce

9 servings : 6 ounces

This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.

points are

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]

[tex]\\ \sf\longmapsto m=-3[/tex]

Answer:

2(3x+4) = 11x-17

6x+8 = 11x-17

25=-5x

x=-5

11x-17

55-17

38

AC = 38

CD = 38

49-38 = 11

DE = 11

Let me know if this helps!

Answer:

C

Step-by-step explanation:

Because in graph there are boxes

And boxez are squre

And C is the answer

You Fool

Yoo Fool

Answer:

Not enough infomation, you need to provide #12

Step-by-step explanation:

Step-by-step explanation:

Answer:

8+8 =16 not 0

Step-by-step explanation:

First she used associative property of addition. After that 8 + 8 = 16

but she wrote 0

she added them wrong

Answer:

Step-by-step explanation:

6x - 11 = 3x + 13

3x = 24

x = 8

Answer:

3√13

Step-by-step explanation:

3√13

This expression cannot be simplified because you cannot take any common factor outside the root.

Step-by-step explanation:

here's the answer to your question

Answer:

No

Step-by-step explanation:

x^3• x^3•x^3

We add the exponents

x^(3+3+3) = x^9

x^3•3•3 x^3 *9

9x^3

These are not equal unless

x^9 = 9x^3

Answer:

Step-by-step explanation:

The number of terms:

Each term is greater than 1, so the expression is greater than 16:

It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.

The sum is:

So the largest integer not greater than S is 17.

Step-by-step explanation:

2x+3y+5+4x-7y-8

2x+4x+3y-7y+5-8

6x-4y-3

Answer:

6x - 4y - 3

Step-by-step explanation:

They are basically telling you to sum both equations. So,

(2x + 3y + 5) + (4x - 7y - 8)

= 2x + 4x + 3y - 7y + 5 - 8

= 6x - 4y - 3

Step-by-step explanation:

here u have answer of your question dear

Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.

x

=

2

,

y

=

1

x

=

9

,

y

=

10

x

=

9

,

y

=

4

Answer:

The x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).

The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.

The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.

In the first interval the sale and profit increases, in the second interval the sale and profit decreases.

Average rate of change from x = 3 to x = 5 is:

This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.

Answer:

[tex]54\pi\ cm^2[/tex]

Step-by-step explanation:

1. Approach

In order to solve this problem, one needs to find the height of the cone. This can be done using the Pythagorean theorem. After finding the height of the cone, one can use the formula to find the surface area of a cone, to find the surface area of this particular cone.

2. Find the height of the cone

The Pythagorean theorem is a property that relates the sides of a right triangle. The radius (distance from the center to circumference (outer edge)) of the base, the height of the cone, and the slant of the cone forms a right triangle. Thus, one can use the Pythagorean theorem to solve for the height. The Pythagorean states the following:

[tex]a^2+b^2=c^2[/tex]

Please note that (a) and (b) represent the sides adjacent (next to) the right angle, (c) represents the hypotenuse (the side opposite the right angle). In this case (a) is the height, and (b) is the radius of the base. (c) is the diagonal of the cone. Substitute the given values in and solve for the height,

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+3^3=15^2[/tex]

Simplify,

[tex]a^2+3^3=15^2[/tex]

[tex]a^2+9=225[/tex]

Inverse operations,

[tex]a^2+9=225[/tex]

[tex]a^2=216[/tex]

[tex]a=\sqrt{216}[/tex]

3. Find the surface area of the cone

The following formula can be used to find the surface area of a cone,

[tex]A_s=\pi r(r+\sqrt{h^2+r^2})[/tex]

Where (h) is the height of the cone, (r) is the radius of the base of the cone, and ([tex]\pi[/tex]) represents the value (3.1415...). Substitute the given values into the formula and solve for the surface area,

[tex]A_s=\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}[/tex]

Simplify,

[tex]A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}[/tex]

[tex]A_s=\pi(3)(3}+\sqrt{216+9})[/tex]

[tex]A_s=\pi(3)(3}+\sqrt{225})[/tex]

[tex]A_s=\pi(3)(3}+15)[/tex]

[tex]A_s=\pi(3)(18)[/tex]

[tex]A_s=\pi(54)[/tex]

Answer:

1/2 of his shirts are green or blue

Step-by-step explanation:

4+1 / 10 = 5 / 10 = 1 / 2

Answer:

10

Step-by-step explanation:

If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.