Which expression best represents a simpler form of 4m+3(m+n) ?
A 7m+3n
B 4m+3mn
C 3m+4n
D 7m²+3n

Answer:

97

Step-by-step explanation:

only prime numbers between 50 and 100 are 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. The only one whose digit is two less than its tens digit is 97.

Answer:

[tex]f^{-1}(x)=\dfrac{x}{\boxed{5}}+\boxed{3}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=5x-15[/tex]

An inverse function is a reflection of the function in the line y = x.

To find the inverse of the given function, replace f(x) with y to get an equation for y in terms of x:

[tex]\implies y=5x-15[/tex]

Rearrange the equation to make x the subject:

[tex]\implies y+15=5x-15+15[/tex]

[tex]\implies y+15=5x[/tex]

[tex]\implies 5x=y+15[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{y}{5}+\dfrac{15}{5}[/tex]

[tex]\implies x=\dfrac{y}{5}+3[/tex]

Replace x with f⁻¹(x) and y with x. This is the inverse function:

[tex]\implies f^{-1}(x)=\dfrac{x}{5}+3[/tex]

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A right-angled triangle is a triangle whose two adjacent sides form a right-angle triangle between them. The given triangle is a right-angled triangle.

A right-angled triangle is a triangle whose two adjacent sides form a right-angle triangle between them.

The slope of the sides of the triangle can be written as,

The given triangle is a right-angle triangle because the slope of the two lines is 1 and -1, whose product is -1. Therefore, the two lines are perpendicular to each other.

Hence, the given triangle is a right-angled triangle.

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The require answers are,

Part a: The equation for the total cost of the calendars is C = 125 + 3.25*100 = 350

Part b: The model that gives the average cost A per calendar as a function of the number of calendars printed is A = 125 + 3.25x

Part c: The estimate number of calendars that must be sold before the average cost drops to $5 per calendar is 70.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

Cost of the digital images and the permission = $125

“one time” charges = $3.25

Part a: The equation for the total cost of the calendars

THere are 100 calendars printed.

So, “one time” charge = 3.25*100

So, the total cost of the calendars C is given as,

C = 125 + 3.25*100

C = 125 + 325 = 450

Thus, the equation for the total cost of the calendars is given as,

C = 125 + 3.25*100 = 450

Part b: The model that gives the average cost A per calendar as a function of the number of calendars printed

Let there are x calendars printed

Total “one time” charges = 3.25x

So, Average cost is given as,

A = 125 + 3.25x

this is the model that gives the average cost A per calendar

Part c: The estimate number of calendars that must be sold before the average cost drops to $5 per calendar

Now from the graph it must be seen that the average cost drops to $ 5 per calender at 70.

Thus, number of calendars that must be sold before the average cost drops to $5 per calendar = 70

Thus, the require answers are,

Part a: The equation for the total cost of the calendars is C = 125 + 3.25*100 = 350

Part b: The model that gives the average cost A per calendar as a function of the number of calendars printed is A = 125 + 3.25x

Part c: The estimate number of calendars that must be sold before the average cost drops to $5 per calendar is 70.

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Answer: A, false

Step-by-step explanation:

The left side 123 does not equal to the right side 1801088541, which means that the given statement is false.

Considering the definition of an inequality, the number of days Sebastian can afford to rent while staying within his budget is less than or equal to 6.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "d" the number of days Sebastian can afford to rent while staying within his budget, the inequality that expresses the previous relationship is

40.50×d - 400×0.12 ≤ 210

Solving:

40.50×d - 48 ≤ 210

40.50×d ≤ 210 + 48

40.50×d ≤ 258

d ≤ 258÷ 40.50

d ≤ 6.37

Finally, the number of days Sebastian can afford to rent while staying within his budget is less than or equal to 6.

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about 90.4% 20  is the probability that at most one of them recycles.

In statistics, what does a probability mean?

P( one) = p ( 1 only ) + p ( 2nd only) + p ( neither)

            = ( 0.31) ( 0.69) + ( 0.69 )( 0.31) + ( 0.69) ( 0.69)

            ≈ 0.9039

So, the probability that at most one of them recycles is about 90.4%.

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Answer:

21

Step-by-step explanation:

Answer:

The answer is -20

Step-by-step explanation:

This prblem calls for substitution. In this case, if a = 3 and b = -4, then

(3)²(-4) - (-4)²

Now we can solve using order of operations.

(9)(-4) + 16 << (two negatives make a positive)

-36 + 16

= -20

Hope this helps!

Answer:

I would say the unit rate is 0.16

Step-by-step explanation:

I say this because to calculate unit rate we have to divide the denominator with the numerator in a way that the denominator becomes

1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 

Answer:

4

Step-by-step explanation:

The factors of 484 are: 1, 2, 4, 11, 22, 44, 121, 242, 484

The factors of 628 are: 1, 2, 4, 157, 314, 628

Then the greatest common factor is 4.

Ben joins a reading group. Each order costs him $12 for the book and $5 for postage and handling. A. Identify the variables that change and the variables that don't change in this issue. Identify the dependent and independent components of each quantity.

I can say that the price of the books is independent and the shipping and handling charges is dependent.

Given that Ben joins a book club.

Ben pays $12 for each book and $5 for shipping and handling charges for each order.

Shipping and handling quantities remain the same.

The amount he pays for each book quantities change every time so it is not constant.

Therefore, We can say that the price of the books is independent and the shipping and handling charges is dependent.

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The measures for a = 10 cm , b = 12cm, and acute angle b =30°

A degree, is always denoted by ° (the degree symbol), known as a measurement of a plane angle in which one full rotation is 360 degrees.

Angle is the measure of the degree with which two lines are intersecting each other to form an orientation.

Acute angle is the measure of an angle which is greater than 0° and less than 90°. For example - 25°, 45° etc.

Triangle is the geometrical figure which is always made up of three sides aligning together to form a closed figure. There are various types of triangles like Acute angle triangle, Right angles Triangle, Obtuse angles triangle, etc.

Acute Angles Triangle is the triangle which consists of al three angles less than 90° but greater than 0°. And it can have any length of sides but the bar minimum condition is to have all three angles in acute form.

We need to find the measures of a, b, acute angle b to make exactly one triangle

As it is the necessary observation that, for one measurement there is only one and only one figure exists which is unique in nature.

Hence, the measure of a, b, c are a = 10 cm , b = 12cm, and acute angle b =30°

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Substitution method of solving a system of equations replaces the variable with a value while elimination method of solving a system of equations removes the variable from the equations.

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

example:

Given two equations: x + 3y = 7 and 2x - 4y = 24, find the solution.

Using substitution method, express one equation to an equation of one of its variables(in terms of the other variable).

x + 3y = 7   ⇒   x = 7 - 3y

Substitute it to the other equation and solve for y.

2x - 4y = 24

2(7 - 3y) - 4y = 24

14 - 6y - 4y = 24

-10y = 10

y = -1

Substitute the value of y in any of the equations and solve for x.

x = 7 - 3y

x = 7 - 3(-1)

x = 7 + 3

x = 10

Hence, the solution is (10 , -1).

Using elimination method, multiply the first equation by 2 so that if we add or subtract it to the second equation, a variable will be removed.

x + 3y = 7   ⇒   2x + 6y = 14

Subtracting equation 2 from equation 1,

2x + 6y = 14

2x - 4y = 24

0x + 10y = -10

y = -1

Substitute the value of y in any of the equations and solve for x.

x + 3y = 7

x + 3(-1) = 7

x = 7 + 3

x = 10

Hence, the solution is (10 , -1).

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It should be y = -3

--------------------------------------------------

Sorry if I'm wrong!

Have a great day and God bless! :)

Answer:

y = -3

Step-by-step explanation:

3, -3 = 3

18, -3 = 15

15, -3 = 12

12, -3 = 9

9, -3 = 6

6, -3 = 3

Step-by-step explanation:

4x+6+7x-9=12x-7-×

4x-3+7x=12x-7

11x-3=12x-7

add the numbers

11x=12x-4

x=4

Work Shown:

804/d = 6/4

804*4 = 6d

3216 = 6d

6d = 3216

d = 3216/6

d = 536

Answer:

Step-by-step explanation:

FACTOR [tex]x^{2} y^{2}[/tex]

[tex]x^{2} y^{2} ( 5 -1 )= 4 x^{2} y^{2}[/tex]

The simplest possible explanation

The Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky,  the lines formed buy the bridge and the river is skew lines

Given,

The situation, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky.

The line formed by the bride and the river that do not intersect and are not coplanar

So, those are skew lines

Hence, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky,  the lines formed buy the bridge and the river is skew lines

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Answer:

400,000,000 or [tex]4*10^{8}m[/tex]

Step-by-step explanation:

Put them both into standard form.

[tex]0.0001=1*10^{-4} and 4 trillion is 4*10^{2}[/tex]

Multiply them together.

[tex](1*10^{-4})*(4*10^{12}=4*10^{8}[/tex]

Answer: 4 feet

Step-by-step explanation:

[tex]Let\ width=x > 0\\Hence,\\(8+2x)(7+2x)=240\\(8)(7)+(2x)(7)+(8)(2x)+(2x)(2x)=240\\56+14x+16x+4x^2=240\\4x^2+30x+56=240\\4x^2+30x+56-240=240-240\\4x^2+30x-184=0\\[/tex]

Divide both parts of the equation by 4 :

[tex]x^2+7.5x-46=0\\x^2+11.5x-(4)(x)-(4)(11.5)=0\\(x)(x+11.5)-(4)(x+11.5)=0\\(x+11.5)(x-4)=0\\x+11.5=0\\x=-11.5\ feet\notin, \ hence\ x > 0\\x-4=0\\x=4\ feet\in,\ hence\ x > 0[/tex]

Answer: n > 2

Step-by-step explanation: n + 5 > 7

n > 7-5

n > 2

Answer:

B because there is no correlation

Step-by-step explanation:

hope this works :)

The equation of the circle (x + 2)^2 + (y + 4)^2 = 50 has a radius of 5√2 and a center located at (-2 , -4).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x + 2)^2 + (y + 4)^2 = 50, is in standard form, then

h = -2

k = -4

r = 5√2

Hence, the equation of the circle (x + 2)^2 + (y + 4)^2 = 50 has a radius of 5√2 and a center located at (-2 , -4).

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The mean number of heads is 8.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. The probability of observing x successes in N trials is calculated using the binomial distribution, with p standing for the probability of success on a single trial. According to the binomial distribution, p is fixed throughout all trials.

The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution. In mathematics and statistics, the binomial distribution is the likelihood that a specific outcome in a series will occur when there are only two possible outcomes: success or failure. Bi is the prefix for two.

Use the formula for the mean for the Binomial Distribution: μ = np

• n = 16

• p = ½

Therefore μ = 16 × ½ = 8

The mean number of heads is 8.

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Answer: c=5

Step-by-step explanation:

5(c-3)=10

5c-15=10

5c=10+15

5c=25

c=5

Answer:

5(c-3)=10

(c-3) =10-5

(c-3)=5

c=5+3

c=8

It would be 0.00000001024 in standard form

Answer: 2

Step-by-step explanation:

120/72 = 5/3 or 1.6666

5/3 tutors needed however you cannot have a portion of a tutor so the academy actually needs 2 tutors.

Answer: 10 tutors

Step-by-step explanation: to simplify the numbers a bit we will do 72 students divided by 6 tutors to get 12 (72/6=12). This means we need 1 tutor for every 12 students. Therefore we can take the 120 students and divide that by 12 to get 10 (120/12=10) meaning we need 10 tutors for 120 students.

Answer:

9 cupcakes on Saturday

Step-by-step explanation:

(p + 3) more than p is p + p + 3 = 2p + 3

on Saturday she baked p

on Sunday she baked 2p + 3 , then

p + 2p + 3 = 30

3p + 3 = 30 ( subtract 3 from both sides )

3p = 27 ( divide both sides by 3 )

p = 9

She baked 9 on Saturday and 21 on Sunday

The quotient of 8 ÷ 0.5 is 16. This is done by finding out how many 0.5 are in 8.

A quotient refers to the number resulting from the division of one number by another. For instance, the quotient of 12 ÷ 3 is 4

A dividend is a number or expression that is to be divided by another. The dividend is 12

A divisor is a number or expression that another is to be divided by. The divisor is 3

Find the quotient: 8 ÷ 0.5

= 8 / 0.5

= 16

A problem as 24 items, each divided into 2 equal pieces.

The quotient is 12

So therefore, if there are 24 items, each divided into 2 equal pieces, the quotient is 12

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Answer:  

1. Answer: You can find the quotient by asking how many Halves are in 8.

2. Answer: Think of the problem as 8 items, each divided into 2 equal pieces.

3. Answer: The quotient is 16.

( Answer on Edge. Sorry for answering late. Please mark me as brainliest.)