What is 4.5a+7+3.5a+2

So the right answer is 13.

Look at the attached picture

Hope it will help you

Answer:

20

Step-by-step explanation:

A square has four sides and if the perimeter is 80 then you divide the perimeter by four to find the length of each side

Answer: $7,81; $4.78 per mile

Step-by-step explanation:

To get the cost per mile we have to divide 9,500 by the cost.

(The total cost annual was $3,200)

9,500 divided by $1,215 = $7.81

9,500 divided by $1,985 = $4.78

I hope this helps!

Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

The two number have the factors, 2, 2, and 3 in common.

The greatest common factor is then: 2 * 2 * 3, or 12.

The expression can be factored as:  12 ( 5 - 3)

To factor the expression 60 - 36, we need to find the GCF of the numbers. The GCF is 12, so the factored form is 24.

To factor the expression using the Greatest Common Factor (GCF) 60 - 36, we need to find the largest number that evenly divides both 60 and 36. The GCF of 60 and 36 is 12.

Therefore, we can rewrite the expression as 12 * (5 - 3). Simplifying further, we get 12 * 2 = 24.

So, the factored form of 60 - 36 is 24.

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Answer:

y = 5 + 2x

Step-by-step explanation:

[tex]-8x+4y=20\\ 4y=20+8x\\ y=5+2x[/tex]

Add 8x on both sides

Divide by 4 on both sides

Simplify

The magnitude of their sum is 6 units

The formula for calculating the resultant vector is given as:

From the given figure, the resultant is calculated as:

[tex]V=\sqrt{[(4cos45)+(2sin45)]^2+((4sin45)+2cos45)^2} \\V=\sqrt{[2\sqrt{2}+\sqrt{2}]^2 +[2\sqrt{2}+\sqrt{2}}]^2\\V=\sqrt{18+18} \\V= 6 units[/tex]

Hence the magnitude of their sum is 6 units

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Answer:

is the anwser a?

Step-by-step explanation:

The total surface area of the triangular prism will be 14 square centimeter.

Option C is correct.

Total surface area :

From the  given diagram of  triangular prism,

It is observed that, The total surface area of the triangular prism will be the summation of area of two triangle and area of large rectangle.

Area of one triangle =(1/2)*3*2 = 3  square centimeters

So that, area of both triangle =2 * 3=6 square centimeters

Area of large rectangle=(2.5+3+2.5)*1=8*1=8 square centimeters

total surface area of the triangular prism =8+6=14 square centimeters

Therefore, total surface area of the triangular prism is 14 square centimeters.

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Answer:

Step-by-step explanation:

the correct answer is the last option on the bottom

Answer:

Slope: 9 y-intercept (0,-12)

Step-by-step explanation:

y=mx+b

m is always the slope

b is always the y-intercept

y=9x-12

you can see 9 is m and -12 is b

The minimum length of a table that is 3 feet wide to have at least 24 square feet of space is found by solving the inequality 3L ≥ 24, which results in a minimum length of 8 feet.

The question involves finding the minimum length of a table to achieve a certain area, which requires understanding and solving an inequality. Given that the table is 3 feet wide and we need at least 24 square feet of space, we can set up the inequality as follows:

Let L be the length of the table in feet.

The area A of a rectangle is calculated as A = length × width.

Thus, A = L × 3 square feet.

To satisfy the condition of having at least 24 square feet, we have the inequality 3L ≥ 24.

Dividing both sides by 3 to solve for L, we get L ≥ 8.

Therefore, the minimum length the table should have is 8 feet.

Answer: -8

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

If you multiply -8 by 5 you get -40. Then if you add 65 to -40 you get 25.

Hope this helps.

Answer:

Mr. Prieto can buy 6 pizzas

Step-by-step explanation:

Cost of 5 soda's = 5 * 2  = $ 10

Remaining amount with him after buying 5 soda's= 94 - 10 = $ 84

Number of pizza's = Remaining amount/cost of 1 pizza

[tex]=\frac{84}{14}[/tex]

=  6 pizzas

Answer:

he can buy 6 pizzas

Step-by-step explanation:

5 x 2 = 10

94-10 = 84

84 divided by 14 = 6

he can buy 6 pizzas.

Answer:

On a coordinate plane, a line goes through (0, 3) and (2, 4) and another line goes through (0, 3) and (0.75, 0).

This answer almost coincide with option C. I suppose there was a mistype.

Step-by-step explanation:

The system of equations is formed by:

–x + 2y = 6

4x + y = 3

In the picture attached, the solution set is shown.

The first equation goes through (0, 3) and (2, 4), as can be checked by:

–(0) + 2(3) = 6

–(2) + 2(4) = 6

The second goes through (0, 3) and (0.75, 0), as can be checked by:

4(0) + (3) = 3

4(0.75) + (0) = 3

On a coordinate plane, a line goes through (-6, 0) and (0, 3) and another line goes through (0.75, 0) and (0, 3).

Given :

The system of equation -- (-x + 2y = 6) and (4x + y = 3)

The following steps can be used in order to determine the graph represents the solution set to this system of equations:

Step 1 - Write the given system of equations.

-x + 2y = 6        --- (1)

4x + y = 3         --- (2)

Step 2 - The x-intercept of equation (1) is:

-x + 0 = 6

x = -6

Step 3 - The y-intercept of equation (1) is:

0 + 2y = 6

y = 3

Step 4 - The x-intercept of equation (2) is:

4x + 0 = 3

x = 3/4

Step 5 - The y-intercept of equation (2) is:

0 + y = 3

y = 3

On a coordinate plane, a line goes through (-6, 0) and (0, 3) and another line goes through (0.75, 0) and (0, 3).

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Answer:

54.3m

Step-by-step explanation:

h = distance above sea level

d = distance he can sea above sea level

d = 3.57h

h = 15.21m

d = ?

d = 3.57 × 15.21

d = 54.2997m approximately 54.3m

The person can see up to a distance of 54.3m

Answer:

d = 7.5

Step-by-step explanation:

d = 3.57[tex]\sqrt{h}[/tex]

= 3.57[tex]\sqrt{4.41}[/tex]

= 3.57( 2.1)

= 7.497

d = 7.5!

Answer:  Armando used the wrong dimensions for the triangular prism.

Step-by-step explanation:

Hi, to answer this question we have to analyze Armando’s work.

Total Volume = Volume of rectangular prism + volume of triangular prism  

Total Volume = 5 (8) (18) + one-half (6) (18) (8)  

Total Volume= 720 + 432  

Total volume = 1,152 cubic inches.

He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)

The correct way to solve this is.

Total Volume = 5 (8) (18) + one-half (6) (18) (5)  

Total Volume= 720 + 270

Total volume = 990 cubic inches.

Answer:

Armando used the wrong dimensions for the triangular prism.

Step-by-step explanation:

Answer:

84.5 percent

Step-by-step explanation:

Answer:

more likely she draws 2 face cards

Step-by-step explanation:

there is a 50% chance of drawing a black card because there are 26/52 black cards but there aee only 12/52 face cards

Answer:

67500

Step-by-step explanation:

4-----54000

5-----x

4x=54000*5

x=67500

Answer:

43,200

Step-by-step explanation:

4/5=x/54000

Answer:

-7x<21

i think, I'm not fully sure what it's asking.

Step-by-step explanation:

Answer:

x ≥ - 6

Step-by-step explanation:

Given

- 3 - 4x ≤ 21 ( add 3 to both sides )

- 4x ≤ 24

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x ≥ - 6

Answer:

y= (0.25)1/x-4 +3

Step-by-step explanation:

You just multiply the compression by mx. then you would add the translation (-4 since it goes to the right). and +3 since it moves up on the y axis

Answer:

12x² - 2x - 30

Step-by-step explanation:

(3x - 5)(4x + 6)

12x² + 18x - 20x - 30

12x² - 2x - 30

The Multiplication of the binomials (3x - 5) and (4x + 6) will be 12x² - 2x - 30. Then the correct option is D.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The binomails are given below.

(3x - 5) and (4x + 6)

Multiply the binomials (3x - 5) and (4x + 6), then we have

⇒ (3x - 5) · (4x + 6)

⇒ 3x · (4x + 6) - 5 · (4x + 6)

⇒ 12x² + 18x - 20x - 30

⇒ 12x² - 2x - 30

The Multiplication of the binomials (3x - 5) and (4x + 6) will be 12x² - 2x - 30. Then the correct option is D.

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Answer: each triangle is 1/3 of the whole

Step-by-step explanation: If you add an upside down triangle to the two triangles below you would get the whole.

three triangles make that whole so one third of the whole is only one of the triangles.

(hope this helps)

Answer:

5 is indeed correct

Step-by-step explanation:

The smallest value of x will be 5 that will make the original inequality true.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The solution to an inequality is,

⇒ 5 ≤ x < 9.

Now,

Since, The solution to an inequality is,

⇒ 5 ≤ x < 9.

Hence, The value of x = { 5, 6, 7, 8 }

Thus, The smallest value of x = 5

Therefore, The smallest value of x will be 5 that will make the original inequality true.

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Distribute the 2 through the parentheses

on the right side of the equation.

2(y) is 2y and 2(2) is 4.

So the problem now reads 6 = 2y + 4.

Now we can subtract 4 from both

sides of the equation to get 2 = 2y.  

Now divide both sides of the

equation by 2 and 1 = y.

Answer:

the answer is attached to the picture

[Deleted Because Incorrect]

Answer:

A) ∠D ≅ ∠F

Step-by-step explanation:

Supplementary angles : A pair of angles whose sum is 180° are called supplementary angles

We are given that ∠D is a supplementary angle of ∠E

So,[tex]\angle D+\angle E = 180^{\circ} -----1[/tex]

We are also given that ∠F is a supplementary angle of ∠E

So,[tex]\angle F+\angle E = 180^{\circ} ------2[/tex]

Find the value of ∠E form 1 and 2

From 1 : [tex]\angle E = 180^{\circ}-\angle D[/tex]

From 2 : [tex]\angle E = 180^{\circ}-\angle F[/tex]

So, [tex]180^{\circ}-\angle D=180^{\circ}-\angle F[/tex]

[tex]\angle D=\angle F[/tex]

So, Option A is true

Hence ∠D ≅ ∠F

Answer:

A) ∠D ≅ ∠F

Step-by-step explanation:

Answer:

the model for the height, h, of the chair at a function of time is [tex]y = -20 \times sin (\frac{2\pi }{15} \times t + \frac{\pi }{2} ) + 26[/tex]

Step-by-step explanation:

To answer the question, we note that the height of the Ferris will varies proportionately to the angle of rotation, hence we can model the height according to he sine function as follows;

y = a·sin(b·x+c) + d

Where: a = Amplitude = Maximum displacement = r = 20 ft

or [tex]a = \frac{maximum - minimum}{2} = \frac{44 - 4}{2} = 20 \, ft[/tex]

The period,  [tex]\frac{2\pi }{b}[/tex] = Time for one complete revolution, for a Ferris wheel making 4 revolutions per minute, we have

Period = 1 minute/4 = 15 seconds

Therefore,  [tex]\frac{2\pi }{b}[/tex] = 15 seconds or [tex](b =\frac{2\pi }{15})[/tex]

d = the vertical shift is given by minimum + amplitude or maximum - amplitude = 6 + 20 = 26 ft

c = Phase shift since we want the chair to be at the minimum at t = 0 we put c = π/2

x = Independent variable, which in the case of the question is time, t

Therefore, the model for the height, h, of the chair at a function of time is as follows

[tex]y = -20 \times sin (\frac{2\pi }{15} \times t + \frac{\pi }{2} ) + 26[/tex]

i.e. y = -20×sin(2π/15 + π/2) + 26.

Final answer:

To model the height of the chair as a function of time on a Ferris wheel, use the equation h(t) = 20 × cos((8π/60)t) + 6, where t is in seconds and h(t) is in feet.

Explanation:

To write a model for the height, h, of the chair as a function of time, t, for a Ferris wheel with a radius of 20 feet and a rotation rate of 4 revolutions per minute, we must consider the motion of the wheel. Since the Ferris wheel completes one rotation in 15 seconds (60 seconds/4 minutes), the chair's height above the ground will depend on the cosine of the angular position of the chair. Including the initial condition of the chair being 6 feet above the ground at its lowest point, the mathematical model will be:

h(t) = 20 × cos(ωt + ϕ) + 6

where angular velocity ω is calculated from the rotation rate (4 revolutions per minute) and phase shift ϕ accounts for the initial position. Since t = 0 corresponds to the lowest point, ϕ is 0 degrees or 0 radians (cos(0) = 1). The angular velocity in radians per second is:

ω = 2π × rotation rate = 2π × 4 / 60 = 8π/60 rad/s

Thus, the final equation for the height of the chair as a function of time is:

h(t) = 20 × cos((8π/60)t) + 6

where t is in seconds and h(t) is in feet.

Answer:

Second graph

Step-by-step explanation:

In the second graph we can see how the rate of collection decreases steadily at 0 < x < 7.5; at x = 7.5 it becomes constant; and later in the day, there were two short periods (about x = 12.5 and x = 22.5) where the rate of collection has two peaks.

The value of x of the missing angles is: 45

How to find the missing angle?

A linear pair of angles is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180 degrees.

Some properties of linear pairs of angles include:

The angles in a linear pair are adjacent.

Their non-common arms are opposite rays and form a straight line.

They together form a straight angle.

Two angles forming a linear pair have a common vertex and a common arm. Their non-common sides are opposite rays that form a line.

Thus:

3x + x = 180

4x = 180

x = 180/4

x = 45