Which expression can be used to find The amount of money for camp leader spends on b books

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.

Answer:

3 and 9

Step-by-step explanation:

x+y=12

y-x=6

y-x=6

 +x.  +x

y=6+x

x+(6+x)=12

6+2x=12

-6.    -6

2x=6

/2. /2

x=3

3+y=12

-3.  -3

y=9

Hopes this helps please mark brainliest

Answer:

82 is what r equals

Step-by-step explanation:

So, lets go over what we know:

D equals rt, or r * t:

D=r*t

The table shows:

t=2 - d=164

t=3 - d=246

These are the only 2 values we need to look at.

We know that D= r*t, and we can just plug in the values found in the table for t and d to solve for r. So:

164= r * 2

Divide both sides by 2 to iscolate r:

82=r

So it seems like r is equal to 82, however this might be exponential or inaccurate, so lets double check witht the nexty values on the table:

246=r*3

Divide by 3 to iscolate the r:

82=r

So we know that r must equal 82.

Hope this helps!

We know

\(\boxed{\sf cos(180-\Theta)=-cos\Theta}\)

Now

\(\\ \sf{:}\!\!\implies cos150\)

\(\\ \sf{:}\!\!\implies cos(180-30)\)

\(\\ \sf{:}\!\!\implies -cos30\)

or

\(\\ \sf{:}\!\!\implies cos(-30°)\)

Option C

Answer:

626.71 cm^2

Step-by-step explanation:

Area of figure = area of half circle + Area of half circle + area of a rectangle

here, diameter=15 cm

radius = 15/2=7.5 cm

length=30cm

breadth=15cm

Now

Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth

=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15

=626.71 cm^2

Answer:

Step-by-step explanation:

Given the system of equations:

We'll multiply the first equation by 2:

Then, we'll add up both equations and solve for y, as following:

Now, we'll plug in this y-value in the second equation and solve for x, as following:

This way, we'll have that the solution to the system of linear equations is:

The graph C represents the image of the triangle PQR, after a translation of 2 units right and a reflection across the line x = 1

A translation in math moves a shape left or right or up or down.

The graph C represents the image of the triangle PQR

After a translation of 2 units right and a reflection across the line x = 1

Because if you move the triangle two to the right then X=1

X=1 means the line is up and down going thought x=1

and if that line you make you reflect across it would be C

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Check the picture below.

For the situation described, we have that:

We have that:

In this problem, the concentration is dependent of the student, which is the input, hence:

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9514 1400 393

Answer:

  p(x) = x^4 -8x^3 +16x^2 -8x +15

Step-by-step explanation:

Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...

  p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)

  p(x) = x^4 -8x^3 +16x^2 -8x +15

Answer:

T1=-12

T2=-19

T3=-26

Step-by-step explanation:

Determine which term will have a value of -6998

-7n-5=-6998

-7n=-6998+5

-7n=-6993

-7n/-7=-6993/-7

n=999

Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

Answer: -4 - 32i                  

i just took this test

The complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.

The given expression is (2+i)(8-3i)-(23+34i).

A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.

Now, apply the distributive property and multiply each term of the first complex number with each term of the second complex number.

That is, (2+i)(8-3i)=8+8i-6i-3i²=8+2i+3 (∵i²=-1)

Now, 2i+11-23-34i=-32i-12

Therefore, the complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.

In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.

In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.

In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

the answer is C my man. I believe so

Answer:

I believe it is C.

Step-by-step explanation:

Answer:1

Step-by-step explanation:

1*1=1 because anything times one is itself

Answer:

1

Step-by-step explanation:

Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

In the book immigrant kids, freeman gives readers a glimpse of what it was like to be new and young America. It talked about the journey and what life is like as soon as they arrive.

Pallegrini's experience about rigorous physical examination and the anxiety that followed agrees with freedman's statement about people being afraid of health examinations.

Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

i know all that touches the sunlight

Answer:

this is a graph of the question hope this helps

Answer:111

Step-by-step explanation:

1111

a) The probability is P = 1/9

b) The probability is P = 1/3.

First, we need to count the total number of outcomes (different cars that can be made with the given options):

Then there are 2*3*3 = 18 different cars.

a) Picking a blue hybrid car with an interior that is not leather.

There are 2 cars that meet that condition:

2 out of the 18 cars meet the condition, then the probability is:

P = 2/18 = 1/9

b) picking an electric car in a color other than blue is

The cars that meet the condition are:

So 6 out of the 18 cars meet the condition, then the probability is:

P = 6/18 = 1/3

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Check the picture below.

The equation of the shifted line is y = x + 2

From the question, we have the following parameters that can be used in our computation:

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

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