A school plans to spend twice the amount it did last year on its winter dance, less the cost of the disco ball which was $150, since they have it from last year. A total of $1,500 is being spent this year. Fill in the blanks to write an equation that will determine the amount of last year’s budget, a.(2 points)
__(a −__) = __

Answer:

480

Step-by-step explanation:

Find the difference between 2400 and 40 by dividing:

2400 / 40 = 60

Multiply each value by 60:

12 x 60 = 720 chocolate

15 x 60 = 900 caramel

5 x 60 = 300 banana

8 x 60 = 480 marshmallow

The y-intercept represents the loan amount initially. And the rate of change of the function will be negative The equation of Mr. Allen's plan will be y = - 80x + 560 and Mr. Jessup's plan will be y = - 40x + 400.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the y-intercept of the line represents the value of the loan initially.

From the graph, the slope of both lines is negative, then the rate of change of the function will be negative.

Let 'x' be the number of months and 'y' be the amount owed.

The two points are (0, 560) and (1, 480). Then the equation of the line is given as,

(y - 560) = [(560 - 480) / (0 - 1)](x - 0)

y - 560 = - 80x

y = - 80x + 560

And the equation of the line for Mr. Jessup's plan will be given as,

y = - 40x + 400

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Step-by-step explanation:

50 is your correct Answer

Answer: They can both be divided by 4, 2, and 1

Answer:

1, 2 and 4

explanation:

16/1, 16/2, 16/4

4/1, 4/2, 4/4

/=division sign

The two absolute value expressions equivalent to the accuracy of a pool thermometer are |t - p| and  |p - t|

Absolute value means to remove any negative sign in front of a number and to think of the number as positive.  This is indicated by the vertical lines |  |

Any expression that contain the vertical lines is called absolute

value expression

Since the accuracy of a pool thermometer is the positive difference between the temperature reading on the thermometer t and the actual temperature of the pool p.

We can write:

accuracy = | t - p|

OR

accuracy = | p - t|

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Answer:

It-pI

Step-by-step explanation:

The length of the arc of the sectored watered is 27.9 feets

length of arc is the distance between two points along a section of a curve.In other words, it's the distance from one point on the edge of a circle to another, or just a portion of the circumference

The length of an arc is given by :

L = theta/360 × 2πr

where tetha is the angle substends

r is the radius

Here the radius is the length at which water is sprayed = 20 ft

tetha = 80°

therefore l = 80/360 × 2×3.14 × 20

L = 29feets

Therefore the length of the arc formed by the water is 27.9 feets

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Answer:

I would say F

Step-by-step explanation:

This is because a rectangle need to have at least one side of parallel sides that are the same length and F confirms that.

Answer:

7.5433234e+12 is your answer

Step-by-step explanation:

Answer:

7.5433234e+12

Step-by-step explanation:

Answer:

[tex]x=-6, 0[/tex]

Step-by-step explanation:

Using the zero-product property, we know that [tex]x=0[/tex] or [tex]x+6=0[/tex].

This means [tex]x=-6, 0[/tex].

Answer: 5 x 4/5

Step-by-step explanation:

In each column there is 4/5 shaded . There are 5 columns .

So , 5 x 4/5

Answer:

A) 5 × 4/5

Step-by-step explanation:

The shaded part each column in the model represents what fraction of a mile that Jada rode her bike each day.

There are 5 columns.

Therefore, to determine the total distance in miles that Jada rode over the days, we can multiply the distance that she rode each day by the number of days that she rode that distance (5 days):

A) [tex]5 \textrm{ days} \times \dfrac{4}{5} \textrm{ mile each day}[/tex]

Answer:

y=1/2x-3

Step-by-step explanation:

y=mx+b

y=1/2x-3

Answer:

well im pretty sure he can make like 7 pies

Step-by-step explanation:

The required length of the curst on the edge of one piece of pizza 1.5 π. Option D is correct.

Perimeter is the measure of the figure on its circumference. The perimeter of a circle is given as 2πr, where r is the radius of the circle.

here,
A pizza has an 18-inch diameter
Circumference of pizza = 18π

The pizza is sliced into 12 pieces, and the length of the crust on the edge of one piece of pizza is given as,
= 18π/12
= 1.5π

Thus, the required length of the curst on the edge of one piece of pizza is 1.5 π.

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Exponential graph is identified by its curve.

An exponential graph is a graph that shows a rapid increase or decrease of a value over time, where the rate of change is proportional to the current value. It is usually represented by a curve that bends upward or downward.

The key characteristic of an exponential graph is that the Y-axis is on a logarithmic scale, and the curve of the graph is a steep curve going either up or down. The equation of an exponential graph is usually of the form y = ab^x, where a is the initial value, b is the growth or decay factor, and x is the independent variable.

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The new dimensions of the rectangle will be 4.8 x 4.4.

To find the new dimensions, we need to find the area of the original rectangle (2.4 x 2.2 = 5.28), and then multiply it by 16 to find the desired new area (5.28 x 16 = 84.48).

Since the area of a rectangle is determined by the product of its length and width, we can find the new dimensions by taking the square root of the new area and dividing it by the original length.

These are the new dimensions of the rectangle.

We have to make sure that the new dimensions are in the same proportion as the original one, we can use the same factor of multiplying to get the new length and width.

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Answer:

aboout 1268 students

Step-by-step explanation:

Answer:

the radius found on the letter c

Answer:

the radius found on the letter c

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Since, We know that;

Parallel lines have same slopes and different y-intercepts

The formula of the slope of a line which passes through points (x₁ , y₁) and (x₂, y₂) is,

⇒  m = (y₂ - y₁) / (x₂ - x₁)

Since, The given line passes through points (-12 , -2) and (0 , -4)

Hence, Use the formula of the slope above to find the slope of the given line as;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (-4 - (-2)) / (0 - (-12))

⇒ m = (-2) / 12

⇒ m = - 1/6

Since, The two lines are parallel.

Hence, Their slopes are equal

So, The slope of the parallel line = - 1/6

Here, The parallel line passes through point (0 , 6)

Since, The form of the linear equation is y = mx + b, where m is the slope and b is the y-intercept.

⇒ m = -1/6 and b = 6

Hence, The equation of the parallel line is,

⇒ y =  x + 6

Now, Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line as;

Point (-12 , 8)

Substitute x = -12 and y = 8

⇒ y =  (-12) + 6

⇒ y = 2 + 6 = 8

Clearly, The value of y is equal the y-coordinate of the point.

So, Point (-12 , 8) is on the line.

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Answer:

37.5 and 82.5

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

The summation value of the term in the series will be equal to

3 + 12 +48 + 192 after calculation.

Here, we have,

We know that, summation:

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

∑(n = 1 to 4) 3(4)^n-1

By solving the above term;

∑(n = 1 to 4) 3(4)^n-1

=3 + 12 +48 + 192

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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Answer:

sure, the answer is 50

Step-by-step explanation: Because this is a right triangle, you can use the pythagorean theorem, which is a^2 + b^2 =c^2 so you square 48 and add it to 14 squared and then take the square roo t to get the value of the hypotenuse, note that c will always represent the hypotenuse or longest side, and that pythagorean theorem can only be used on right triangles

Answer:

A = (6,6)

Hope this helps!

Answer:

I'm not exactly sure what you were doing in class but this is what I would do.

I really hope it helps!! :)))

Step-by-step explanation:

for A I would connect the D point of the top angle to the D point of the bottom angle and draw the line across line t. For B the points all share the same angle because the figure is being reflected over line t the position of the figure changes but the size and angles stay the same. use a protractor in B to verify all the angles are the same. For C the only thing that would make sense is that all the lines are parallel because the figure was flipped. and for D just trace one on top of the other

Answer:

44°

Step-by-step explanation:

Given that :

Two angles are equal sized;

Let the angle = x

Third angle = 12 smaller than first, x - 12

The measure of the third angle ;

Sum of angles in a triangle = 180°

First + second + third angle = 180°

x + x + (x - 12) = 180

2x + x - 12 = 180

3x = 180 - 12

3x = 168°

x = 56°

The third angle :

(x - 12) = 56 - 12 = 44°

Answer:

They Have 4 corners.

4 sides.

They are quadrilateral.

Answer:

165 centimeters

Step-by-step explanation:

An example of calculating BMI using the formula: Height = 165 cm (1.65 m), Weight = 68 kg One centimeter is equal to 0.01 meter: 1cm = 0.01m. You are 65 inches tall. 65 * (2.54) = 165.1 cm.

Answer:

165 cm

Step-by-step explanation:

1.65 meters = 1.65 × 100 = 165 centimeters

The graph is attached and  the point of maximum as y"(π/6) < 0 and at point of minimum y"(π/2) > 0.

An inflection point is where a graph's curvature changes, from concave up to concave down or vice versa. It is also known as a turning point, flex, inflection, or "point of diminishing returns."

A concave down graph resembles an upside-down U or a cap, while a concave up graph resembles the letter U (or a "cup"). The intersection of a "cup" and a "cap" marks the inflection point.

Given displacement of mass by function,

y = sin(3t), where 3t is in radians,

the graph for t = 0 and t = 2 sec.

2: The position of turning point,

differentiate the equation we get,

y' = 3cos(3t)

the turning points are t = π/6 and t = π/2

y'(π/6) = y'(π/2) = 0

3: inflexion points,

again differentiate the equation we get,

y" = -9sin(3t)

and inflection at π/3

because y"(π/3) = 0

Maximum and minimum points are π/6 and π/2 respectively,

as the point of maximum t = π/6 as y"(π/6) < 0,

and point of minimum at t = π/2 as y"(π/2) > 0.

Hence the graph is attached and maximum at t = π/6, and minimum at t = π/2, and inflection at π/3.

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