A baker needs to make eight batches of cookies for a party. If each batch requires 2 2/4 cups of flour, how many cups will he need?

Answer:

Step-by-step explanation:

In order to cancel the coefficient of P you have to divide both sides by the coefficient not add the coefficient to both sides.

-2/3p = 4

-2/3p / -2/3 = 4 / -2/3    (Multiply both sides by -2/3 to isolate p)

p = 4 / 2/3     ([tex]\frac{4}{1} (-\frac{2}{3} ) = -\frac{8}{3}[/tex])(keep change reciprocate)

p = -8/3

A circle is a round-shaped figure that has no corners or edges. If a circular mosaic has radius 3 meters then the area is 28.26 square meters.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that a circular mosaic has radius 3 meters.

We need to find the area of circular mosaic.

Area of circle=πr²

Here r=3

π=3.142

Substitute the values of pi and r in Area formula

Area =3.142*3²

=3.142*9

=28.26

Therefore area of circular mosaic is 28.26 square meters.

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The bacterial cell length is 62.5 times smaller than the amoeba cell.

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of a bacterial cell is about 4 x 10⁻⁶ m, and the length of an amoeba cell is about 2.5 x 10⁻⁴ m

Hence:

Ratio of Amoeba length to bacteria length = (2.5 x 10⁻⁴ m) / (4 x 10⁻⁶ m) =   62.5

The bacterial cell length is 62.5 times smaller than the amoeba cell.

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Answer:

the answer in scientific notation with the significant amount of digits is 6.25 x 10^2.

Step-by-step explanation:

you have to solve the equation and divide 0.00025 by 0.00004

you will get 6.25

and if you divide 2.5 by 4 you get 0.625 you have to move the decimal over to the right by 2 so you get the exponent of 2

The answer in scientific notation with the significant amount of digits is 6.25 x 10^2

The statement about the function y = −14x − 2 that is true is that A. As the value of x increases, the value of y increases. B.

It should be noted that the information is to get the dtatement about the function y = −14x − 2 that is true.

y = −14x − 2

Let's use x = 1

y = −14x − 2

y = -14(1) - 2 = -16

When x = 2, y = −14x − 2.

y = -14(2) - 2 = -40

It shows that as x increases, y will also increase.

Therefore, the correct option is A.

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Answer:

answer below

Step-by-step explanation:

1.the shape below has 4 edges

2.the shape below has 5 faces

3.the shape below has 8 edges

Answer:

Step-by-step explanation:

Answer:

what is the correct solution

Step-by-step explanation:

yes, it is a good deal as long as you use the card before a year.

Let's see how much you will save if you pay the $150.

If you want 6 hair cuts, you need to pay $30 6 times, so the total cost will be:

C = $30*6 = $180

If instead, you prepay $150, then you get the 6 cuts only for $150, saving a total of $30 (but the downpayment is 5 times larger than in the other case), but only if you plan to use the punch card for the other cut in the year, if you don't then this option does not make sense.

So, yes, it is a good deal as long as you use the card before a year.

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After solving, the factors of equation 4x²+17x+15 are:

So,

Given the equation: 4x²+17x+15

Then,

Factors are: (x+3) and (4x+5)

Therefore, after solving, the factors of equation 4x²+17x+15 are:

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The given values f(x) / g(x) =2 x+5 / x²-3 x+2

Given: f(x)=2 x+5 and g(x)=x²-3 x+2

f(x) / g(x) =2 x+5 / x²-3 x+2

The function operation of f(x) / g(x) =2 x+5 / x²-3 x+2

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The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is [tex]\sqrt[3]{}[/tex](x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

[tex]\sqrt[3]{}[/tex](x¹³)

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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The perimeter of the polygon is 232 units

From the question, we are to determine the perimeter of the regular polygon

From the diagram,

One of the polygon's side length is (4/3)x - 1/3

and another side length is x + 7

Since the figure is a regular polygon, we can write that

(4/3)x - 1/3 = x + 7

Now, solve for x

(4/3)x - 1/3 = x + 7

Multiply through by 3

4x - 1 = 3x + 21

4x - 3x = 21 + 1

x = 22

One of the polygon's side length is x + 7

∴ One side length = 22 + 7

One side length = 29

Since the polygon has 8 sides,

The perimeter of the polygon will be

8 × 29

= 232 units

Hence, the perimeter of the polygon is 232 units

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The large square covers more

(See attachment below)

Explanation- The large square has the highest dimension and by extension, it has the highest area.

This means that, less large squares will be needed to cover more areas compared to other sizes of the squares

Area of the square =(side)².

square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle and a special kind of parallelogram.

By observation,

9 small squares are equivalent to one large square, implying that the 5 large squares are giving us 45 small squares.

4 small squares can fit into one medium square, implying that the 10 medium squares are giving us 40 small squares.

There are only 10 small squares.

Hence, the large square covers more of the plane

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Based on the product expression, the estimate of the product expression 3.14 x 7 is 22

Expressions are mathematical statements that are represented by variables, coefficients and operators

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The expression is given as

3.14 x 7

Rewrite 3.14 as  a rational expression

So, we have

3.14 x 7 = 314/100 x 7

Evaluate the product of 314 and 7

So, we have

3.14 x 7 = 2198/100

Evaluate the quotient of 2198 and 100

So, we have

3.14 x 7 = 21.98

Approximate the above expression

So, we have

3.14 x 7 = 22

Hence, the estimate of the product expression 3.14 x 7 is 22

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The right response is Perimeter, x - 2y = 9.

The parameters listed in the question are:

A rectangle's perimeter is equal to 6 x – 2, its length to 2 x + 4, and its width to 2 y + 4.

The perimeter is calculated using the following formula: 2(L) + 2 (W)

6x - 2 = 2(2x + 4) + 2(2y +4) = 4x + 8 + 4y + 8

The result is: x - 2y = 9 and 2x - 4y = 18.

Consequently, the right response is x - 2y = 9.

The sum of a polygon's sides is what is referred to as its perimeter. For the perimeter calculation, the shape must be closed. And the polygonal shapes are either one- or two-dimensional.

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There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot.  The ratio of non-black sedans to black sedans is

40 : 31

Define Ratio ?

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot.

what is the ratio of non-black sedans to black sedans

divide by 2 , both the terms

640 : 496

320 : 248

160 : 124

80 : 62

40 : 31

Hence , There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. Then the ratio of non-black sedans to black sedans is 40 : 31

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value of x in given exponential equation is  =  1

In, mathematics a exponential function or equation is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa. The basic form of the logarithm function can be written as  [tex]a^x[/tex] .

where, a is the base of function

           x is the expression

Mathematically, if  [tex]log_aN = x[/tex] is an logarithmic function then, this can be converted to exponential function as  [tex]a^x = N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.

Some important formulas of exponents :

According to given statement,

4^3x = 64

=> 4^3x = 4³

=> 3x = 3

=> x = 1

Thus solution for this equation is x =1.

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The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).

Inequality:

When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.

Here the given Inequality is -3<2x+3≤5

⇒ -3<2x+3≤5

⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }

⇒-6 < 2x ≤ 2

⇒-3 < x ≤ 1

⇒-3 < x and  x ≤ 1

⇒ x > -3 and x ≤1

Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).

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Answer:

A

Step-by-step explanation:

we need to find what they equal so we put them as equations against each other

Answer: its a 18

Step-by-step explanation:

4(x+2)

hope this helps

The length of the AC is: 10cm

Rectangle length : since, a rectangle is a 2-D shape, it is characterized by two dimensions, length, and width. Length is the longer side of the rectangle and width is the shorter side.

So we have to find the length of AC in which AB=6cm and BC=8cm

Step by step explanation :

AC2= 6²+8²= 100

So AC= 10cm

The angle between WC and AC is 16.7°

Angle: .The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet

So we have to find the angle between WC and AC , so here is a step by step solution:

tan θ=3/10                       θ= 16.7°

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The required fill in the blanks is  110° and 360°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The figure shows that to find the angle.

According to given question we have

The first answer of the figure is 110°.

Obtuse angle is more than 90° and less than 180°.

The second answer of the figure is 360°.

A full angle, also called a complete angle, round angle, or perigon, is an angle equal to radians.

Therefore, the required fill in the blanks is  110° and 360°.

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Answer:

The slope of the function is 3

Step-by-step explanation:

To find the slope

*This method works for any other two other points and the work is in the attachment above*

SportCo manufactured 6400 basketballs

SportCo manufacturers fixed expenses for producing basketballs = $46,270

Variable expense incurred per basketball produced = $6.50

Total expenses incurred by SportCo for producing basketballs= $87,870

Fixed costs are costs that remain constant regardless of whether more or fewer goods or services are produced or sold.

An expense for the company that varies according to how much is produced or sold is called a variable cost. Depending on a company's production or sales volume, variable costs grow or fall. They climb as production rises and reduce as production declines.

Let x be the number of basketballs produced by the manufacturer SportCo.

Formulating the equation we get:

Fixed cost + Variable cost*Number of basketballs produced = Total expenses incurred by the manufacturer

46270 + 6.5(x) = 87870

6.5(x) = 41600

x = 6400

Therefore, the number of basketballs produced is 6400 by the manufacturer.  

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Answer:

Step-by-step explanation:

8.2

Answer: 8.2

Step-by-step explanation:

sqrt(67) is more than sqrt(64) which is 8, but far from sqrt( 81) which is 9. It is less than half the disnatce between the two and therefore is less than 8.5.

Just put it in a calculator.....

The result of simplifying the expression -(-27)⁻⁴/₃ using the exponent rules is 1/81

To solve this exercise we have to resolve algebraic operations following the exponent rules.

-(-27)⁻⁴/₃ =

(27)⁻⁴/₃

As we have a negative exponent, you have to pass the exponent to the denominator:

1/(27)⁴/₃

As we have a fractional exponent, you must convert the exponent to root:

1/[tex]\sqrt[3]{}[/tex](27)⁴

1/[tex]\sqrt[3]{}[/tex](531441)

1/81

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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It would take 16 days for the number of magical coins to exceed 50,000.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of magical coins available after x days. this can be represented by:

y = 1(2)ˣ

To exceed 50000 coins:

50000 = 1(2)ˣ

x = 15.6

It would take 16 days for the number of magical coins to exceed 50,000.

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Answer:

6:22, 9:33

Step-by-step explanation:

When writing equivalent ratios, you use two of the numbers from the original ratio and multiply them evenly to get an equivalent ratio.

[tex]\mathrm{p:q~or~\frac{p}{q} = \frac{x(p)}{x(q)}}\\\mathrm{\frac{6 \times 2}{11 \times 2} = 6:22}\\\mathrm{\frac{6 \times 3}{11 \times 3} = 9:33}[/tex]

Answer:

6:22 and 9:33

Step-by-step explanation:

Answer: 6:22 and 9:33

Think of the ratio like a fraction, one way to find an equivalent ratio is to simplify the current ratio. But in this case, we are unable because we can divide 3 by 3 to get one, but not 11 by 3.

3 divided by 3 = 1

11 divided by 3 = does not evenly divide

Another way is to multiply both numbers by the same number.

3 times 2 = 6

11 times 2 = 22

And we can just keep doing the same with different numbers.

3 times 3 = 9

11 times 3 = 33