mel cuts 8 pizzas into ninths 2/3 of the slices were eaten how many slices remained

The capacity of the container is equal to 7.6 × 10⁻³ kiloliters.

This is a unit conversion question, in which we need to determine how many kiloliters are equivalent to the capacity of a container.

According to capacity tables, a cubic decimeter or 1000 cubic centimeters equals a liter. Then, we can determine the number of kiloliters by using the following cross multiplication:

x = 7.6 dm³ × (1 L / 1 dm³) × (1 kL / 1000 L)

x = 7.6 × 10⁻³ kL

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The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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Answer:

The absolute value is 7.

Step-by-step explanation:

Because when a number has two lines between it you always make it positive.

Answer:

7

Step-by-step explanation:

|-7| means to switch it a positive and not a negative so |-7|=7

Answer:

A

Step-by-step explanation:

it rapresent the initial amount of expenses. the ticket sold were 0, but the profit was negative

Answer:

A

Step-by-step explanation:

Given data:

The given initial amount is P=$1,000.

The given rate of interest is r=10%.

The given time is t=4 years.

The expression for the final amount after 4 years is,

Substitute the given values in the above expression.

Thus, the final amount after 4 years is $1464.10.

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11

.

6x2+4x−15x−10

Factor out the greatest common factor from each group.

2x(3x+2)−5(3x+2)

Factor the polynomial by factoring out the greatest common factor, 3x+2

.

(3x+2)(2x−5)

Answer:

9 x 10^16

Step-by-step explanation:

When adding or subtracting in standard form (aka scientific notation), the powers of  10 need to be the same. If they are just add the numbers and keep the same power of  10

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

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Answer:

-3<x≤4

Step-by-step explanation:

Answer:

4 \(\geq\) x > -3

Step-by-step explanation:

I just put the written form into inequality form.

The value of x = 7

From the triangle, we have

5/(40+5) = 3/(2x+10)

5/45 = 3/(2x+10)

10x+65 = 135

10x = 135-65

10x = 70

x = 7

The value of x = 7

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Work Shown:

1/4 = 2/8

1/4 - 1/8 = 2/8 - 1/8 = (2-1)/8 = 1/8

She ran 1/8 of a mile further than she walked.

Answer:

\(y=\frac{4}{3}x - \frac{17}{3}\)

Step-by-step explanation:

Hope this helps! :))

Answer: B(1, 3) and D(1, −2)

Step-by-step explanation:

The distance from A to C is 5, meaning we need the length to be 4.

If they lie to the right, we need to add 4 to the x coordinates, so the x coordinates should be 1, and the y coordinates should be 3 and -2.

The locations of B and D are given by (A) B(1,3) and D(1,-2).

The area of rectangle is given by the product of the length and width of that rectangle.

Area = Length*Width

Distance between two points (a,b) and (c,d) is given by,

\(d=\sqrt{(c-a)^2+(d-b)^2}\)

Here in the given question it is mentioned that AC forms width of a rectangle and A is at (-3,3) and C is at (-3,-2)

Now the width is \(=\sqrt{(-3-(-3))^2+(-2-3)^2}=\sqrt{0^2+(-5)^2}=\sqrt{25}=5\) unit.

Also it is given that, the area of the rectangle is 20 square units.

So the length is = 20/5 = 4 units

B and D lie to the right of points A and C respectively.

We have to go 4 units right to the A to find B and 4 units right to C to find D.

A is at (-3,3)

then B is at (-3+4,3) = (1,3)

C is at (-3,-2)

So D is at (-3+4,-2) = (1,-2)

Hence correct option is (A) B(1,3) and D(1,-2)

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Answer:

switch them up

Step-by-step explanation:

Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.

Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.

For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.

Therefore,  a) The inverse of “Add 25” would be “Subtract 25.”What is the  b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”

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Answer:

-15

Step-by-step explanation:the

The equations for each slope - intercept pair are discussed below.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept

Given are the slopes and [y] intercepts of some lines.

We can write the equation for each pair as discussed above in the general equation.

[1] → The equation of the straight line with slope [m] = -3 and y- intercept

[c] = 4 will be → y = -3x + 4.

[2] → The equation of the straight line with slope [m] = 0 and y- intercept

[c] = 0 will be → y = 0.

[3] → The equation of the straight line with slope [m] = 7/3 and y- intercept [c] = 3 will be → y = 7/3x + 3.

[4] → The equation of the straight line with slope [m] = -1/2 and y- intercept [c] = 5 will be → y = -1/2x + 5.

[5] → The equation of the straight line with slope [m] = -1/4 and y- intercept [c] = 4 will be → y = -1/4x + 4.

[6] → The equation of the straight line with slope [m] = -4/3 and y- intercept [c] = 1 will be → y = -4/3x + 1.

Therefore, the equations for each slope - intercept pair are discussed above.

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$480 worth of fuses can power 240 motors. This is calculated by dividing $480 by $2 to get the total amount of policies that can be purchased. Then the total number of fuses is divided by 3, which is the number of fuses per motor.

This calculation results in 240 motors that can be supplied with $480 worth of fuses. In more detail, the calculation is as follows:

(480/2) / 3 = 240

This means that 240 engines can be supplied with $480 worth of fuses. This calculation is based on the assumption that each motor requires 3 fuses and that each fuse costs $2

Hopes this helps with your question. :)

Answer:

23 motors

Step-by-step explanation:

fuses = $4

motor uses 3 fuses = $4 × 3 = $12

$284 ÷ 12 = 23.6 = 23 motors

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

37.67%

Step-by-step explanation:

Suppose initially a price of $ 100

Increasing per month at a rate of 2.7%. Which is equal to 0.027

Now applying the formula:

Vf = Vi * (1 + m) ^ n

where Vf is the final quantity, Vi is the initial value, m is the rate and n is the number of months.

We know that 1 year, is 12 months, since the rate is monthly means, n = 12, we replace:

Vf = 100 * (1 + 0.027) ^ 12

Vf = 137.67

It means price increase in 1 year = 137.67 - 100 = 37.67

Which means that n a year increases to 37.67%

Answer:

19 degrees

Step-by-step explanation:

hope this helps

Answer:

7x^2 + 4

Step-by-step explanation:

A quadratic has a variable to the second power, and a binomial has 2 terms.

Answer:

A) \(7x^2+4\)

Step-by-step explanation:

"Quadratic" refers to a 2nd-degree polynomial and "Binomial" refers to an expression with 2 terms. Therefore, A is the only correct answer

Answer:

55.67 m

Step-by-step explanation:

You just add the two numbers to get the total distance traveled.

Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.

Answer:

Step-by-step explanation:

35percent was yonger

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)