A new photocopier works 4 times as fast as an old one. When the machines work together, a university can produce all its staff manuals in 28 hours. Find the time it would take each machine, working online, to complete the job.

Answer:

The perimeter is 38.25 units

Step-by-step explanation:

The perimeter of the tra-pezoid is the distance around it.

The length of the bases can be found using the absolute value method.

|RS|=|20-14|=6 units.

|TQ|=|22-8|=14

Recall the distance formula;

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We use the distance to find the non parallel sides.

[tex]|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25[/tex] units.

and

[tex]|QR|=\sqrt{(8-14)^2+(16-8)^2} =10[/tex] units.

The perimeter of the tra-pezoid is

=14+10+6+8.25=38.25

Answer:

the answer is 38.25

Step-by-step explanation:

Answer:

20 sq m

Step-by-step explanation:

Answer:

59 feet cubed

Step-by-step explanation:

1 x 5 x 7 = 35ft^3

3 x 4 x 2 = 24ft^3

add them together and end up with 59ft^3

Answer:

37

Step-by-step explanation:

Using order of operations, multiplication is done before addition.

given

7 + 5 × 6 ← perform multiplication

= 7 + 30 ← do the addition

= 37

Use PEMDAS

PEMDAS stands for: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

So.. in 7+5x6, you first multiply (Tip: If you don't see parenthesis or exponents, jump to multiplication) 5 and 6. (30) NOw, you add 5x6 (30) with 7 (=37)

For x = 5, the only solution to the inequality or equation is 5. while for the inequality x ≥ 5, this has several values or solutions.

Given the following inequality expression

The inequality x = 5 is different from x ≥ 5 in that;

For x = 5, the only solution to the inequality or equation is 5. It shows only one solution

For the inequality x ≥ 5, this has several values or solutions. It consists of all the values of x that are greater than5.

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Answer:

ok so the answer is.

Step-by-step explanation:

thanks for listening bestie <3

Answer:

[tex]x= 0\\x =4[/tex]

Step-by-step explanation:

We have the expression:

[tex]x ^ 2-4x = 0[/tex]

To solve this equation we must factor:

1.- Take common factor x.

[tex]x(x-4) = 0[/tex]

2.- Evaluate the expressions to know when they are equal to 0.

[tex]x = 0[/tex] or [tex]x-4 = 0[/tex]

[tex]x = 0[/tex] or [tex]x = 4[/tex]

3.- The solutions are:

[tex]x = 0\\x = 4[/tex]

Answer: 19.13 yd²

Step-by-step explanation:

1. By definition,  you have that 1 square meter is equal to 1.19599 square yards. You can express it as following:

1 m²= 1.19599 yd²

2. Then, keeping the information above on mind, you can make the conversion from 16 m² to yd² as it is shown below:

[tex](16m^2)(\frac{1.19599yd^2}{1m^2})=19.13yd^2[/tex]

Therefore, you have that 16 m² is equivalent to 19.13 yd².

You can convert square meters to square yards by multiplying by 1.196. Therefore, 16 square meters is equivalent to 19.14 square yards.

You're asking about the conversion between square meters and square yards, which is used in measuring areas in mathematics and geometry. To do this conversion, we can use the conversion factor given in the references - 1 m² = 1.196 square yards.

Therefore, to find out how many square yards are equivalent to 16 square meters, we multiply 16 m² by 1.196 (the number of square yards in one square meter). Doing this math gives us an equivalent area of 19.136 square yards.

So, your 16-square meter area is roughly equivalent to 19.14 square yards, when rounded to two decimal places.

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Answer:

The answer is x + x + x.

Step-by-step explanation:

Tripling something means 3 of that thing. 3 + 3 + 3, which is also 3x.

I hope this helped!

Have a wonderful Wednesday!

~Lola

The expression which is equal to 3x is x+x+x. Therefore, option B is the correct answer.

We need to check which expression from the options is equal to 3x.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From option B,

In the expression x+x+x, all three terms are same(like terms), by adding them we get

x+x+x=3x

The expression which is equal to 3x is x+x+x. Therefore, option B is the correct answer.

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Answer:

C

Step-by-step explanation:

4^5 expanded is 4 * 4 * 4 * 4* 4

Answer:

im pretty sure its the second one to the right

Answer:

|7| + |-2| | +|5| + |-8|=

Step-by-step explanation:

We want to find the total number of spaces traveled, it doesn't matter whether they are forward or backward.

We moved 7 spaces right then 2 spaces left then 5 spaces right then 8 spaces left.  The total spaces are just the number of spaces, not whether they were left or right so we take the absolute value

|7| + |-2|  +|5| + |-8|=

x=4

Multiply the reciprocal of 1/24, which is 24, on both sides. You will result in getting x=24/6, or 4

x=4

Answer:

x=4

Step-by-step explanation:

24 divided by 6 = 4

or 6 x 4 = 24

The third one because it’s exponential and that is the form of an exponential increase function

third answer - exponential form .. hope this helps!!

This is a maths problem involving the Pythagorean theorem, which involves calculating the hypotenuse of a right triangle. The squirrel, living in a tree 12 meters high and needing to glide to an acorn 16 meters away, will need to glide a distance of 20 meters.

This question is essentially asking you to calculate the hypotenuse in a right triangle, and the formula for this is rooted in the Pythagorean theorem. You're given the height of the tree (12 meters), which we can call 'a', and the distance from the base of the tree to the acorn (16 meters), which we can designate as 'b'.

The Pythagorean theorem goes as follows: a squared + b squared = c squared, where 'c' is the hypotenuse of the triangle, or in this case, the distance the flying squirrel needs to glide. So, we can plug in the numbers we have: (12²) + (16²) = c². This simplifies to 144 + 256 = c², or 400 = c².

To solve for 'c', we take the square root of both sides, and find that c = 20. Thus, the flying squirrel needs to glide 20 meters to reach the acorn.

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The flying squirrel will have to glide 20 meters to reach the fallen acorn.

To find out how far the flying squirrel will have to glide to reach the fallen acorn, we can use the Pythagorean theorem because the squirrel will glide in a straight line from the tree to the acorn.

Let's denote the distance the squirrel glides as ( x ). According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the distance the squirrel glides) is equal to the sum of the squares of the other two sides (the height of the tree and the horizontal distance to the acorn).

The given information:

- Height of the tree  =  12 meters

- Horizontal distance to the acorn  =  16 meters

Using the Pythagorean theorem, we have:

[tex]\[x^2 = (\text{Height})^2 + (\text{Distance to acorn})^2\]\[x^2 = 12^2 + 16^2\]\[x^2 = 144 + 256\]\[x^2 = 400\][/tex]

Taking the square root of both sides:

[tex]\[x = \sqrt{400}\]\[x = 20\][/tex]

So, the flying squirrel will have to glide 20 meters to reach the fallen acorn.

Answer:

25 students in the cooking club

Step-by-step explanation:

Let

x-----> the number of students in art club

y-----> the number of students in drama club

z-----> the number of students in cooking club

step 1

Substitute the value of y in equation A and solve for x

step 2

substitute the value of x in equation B and solve for z

Answer:

D

Step-by-step explanation:

|-9 5/8| = 9 5/8 = 9.625

6.28 x 10^2 = 628

62.85 = 62.85

Now order them.

9.625, 62.85, 628

So

|-9 5/8|, 62.58, 6.28 x 10^2

Answer: i think itz  D but im not 100% sure

Step-by-step explanation:

Answer:

(-8, -4) is the solution

Step-by-step explanation:

Determine whether or not (-8, -4) is a solution to this system.  It is a solution if we can substitute -8 for x and -4 for y in both equations and find that both equations are true:

2(-8) = 5(-4) + 4 TRUE

3(-8) - 2(-4) = -16 TRUE

So (-8, -4) is a solution to the given system.

Check out the second possible solution in the same way:

2(8) = 5(4) + 4 FALSE

Check out the third possible sol'n in the same way:

2(-4) = 5(4) + 4  FALSE

Check out the fourth in the same way:

2(4) = 5(8) + 4   FALSE

So we conclude that (-8, -4) is the sole solution to the given system.

Answer:

(-8, -4)

Step-by-step explanation:

ANSWER

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

EXPLANATION

The given parabola has equation of the form

[tex] {(y - k)}^{2} = 4p(x - h)[/tex]

where (h,k) is the vertex of the parabola.

The vertex of the given parabola is (4,-2).

and p is the distance between the foci and the vertex.

[tex] |p| = 2[/tex]

The parabola opens towards the positive x-axis, therefore p=2.

Hence the equation of the parabola is

[tex] {(y + 2)}^{2} = 4 \times 2(x - 4)[/tex]

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

Answer:

Your answer is going to be E for plato users or (y^2/8) + (y/2) + (9/2)

Step-by-step explanation:

Since it is a horizontal Parabola the equation is: (y-k)^2 = 4p(x-h)

The distance between the directrix: p

therefore P=2

h = X value in the vertex

k = Y value in the vertex

h = 4

k = -2

Plug the values into the equation and solve for x

Answer:

the first one

Step-by-step explanation:

i want a starbucks double chocolate frappe, thanks

I mean, what's the flavor?

and what's the brand

and is it free?

LOL, I'm sorry this is not helping me get brainiest ah lol

Mmmmmm Coffee- xD

first you would do

[tex]1790 - 395[/tex]

next you would do

[tex]x \times 800[/tex]

which would then give you answer choice a

a. ability to access cash value

Answer:   330⁰

Step-by-step explanation:

Circumference (C) = 2π · radius(r)

                          12 = 2π·r

                     [tex]\dfrac{6}{\pi}=r[/tex]

Arc length (s) = radius(r) · θ           (reminder that theta is in radians)

                  [tex]11=\dfrac{6}{\pi}\cdot \theta[/tex]

                  [tex]\dfrac{11\pi}{6}=\theta[/tex]

To convert radians to degrees, use the proportion:   π = 180⁰  

[tex]\dfrac{\pi}{180}=\dfrac{11\pi}{6x}\\\\6x(\pi)=180(11\pi)\\\\x=\dfrac{180(11\pi)}{6\pi}\\\\x=30(11)\\\\x=330[/tex]

Answer:

Bigger by ¼ of a.

Step-by-step explanation:

Let b be represented by all five slices of the pie, and a by the four yellow slices.

Then a is ⅘ of the pie and it is ⅕ smaller than b.

Now, let's turn the argument around.

The four yellow slices represent a, and all 5 slices represent b.

b is greater than a by one slice compared to four.

In mathematical terms, b is bigger by ¼ of a.

Answer:

A. Parallel

Step-by-step explanation:

The given lines are

[tex]y=6x[/tex]

and

[tex]y=6x+2[/tex]

The slope of [tex]y=6x[/tex] is [tex]m_1=6[/tex].

The slope of [tex]y=6x+2[/tex] is [tex]m_2=6[/tex].

Since the two lines have the same slope, the two lines are parallel.

Answer:

The correct answer option is A. parallel.

Step-by-step explanation:

We are given the following two lines and we are to determine if they are parallel, perpendicular or none of them:

[tex]y = 6x[/tex] and [tex]y = 6x + 2[/tex]

According to the standard equation of a line, [tex]y=mx+c[/tex], the coefficient of x ([tex]m[/tex]) is the slope of the line.

Slope of [tex]y = 6x[/tex]  = 6

Slope of [tex]y = 6x + 2[/tex]  = 6

Since both the lines have same slope, therefore the two line are parallel.

[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-11)}{-2-(-5)}\implies \cfrac{1+11}{-2+5}\implies \cfrac{12}{3}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-11)=4[x-(-5)]\implies y+11=4(x+5) \\\\\\ y+11=4x+20\implies y=4x+9[/tex]

Answer:

B. 14 = 125p

Step-by-step explanation:

The correct equation to find what percent 14 is of 125 is 14 = 125p. This equation is solved by dividing both sides by 125. The solution, 0.112 or 11.2%, shows that 14 is 11.2% of 125.

The subject of the question is Mathematics. The question is, 'Which equation can be used to find what percent 14 is of 125?' The correct equation to solve this is: 14 = 125p. The reason for that is because the problem is asking what percent (represented by p) 14 is of 125. So, you want to solve for p. To do so, you would divide both sides of the equation by 125. This would give you p = 0.112, or 11.2%. This means that 14 is 11.2% of 125.

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The equation of the line below : y= -6x.

Answer:

Step-by-step explanation:

Answer:

w=3

Step-by-step explanation:

The area of the triangle is given by

A = 1/2 bh

the base is 5 and the height is 3

A = 1/2 (3) * 5 = 15/2  units ^2

The area of a rectangle is

A = l*w

A = 5w

The area of the triangle = 1/2 the area of the rectangle

15/2 = 1/2 *5w

15/2 = 5/2 w

Multiply each side by 2/5 to isolate w

2/5 * 15/2 = 2/5 *5/2 w

3 =w

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Final answer:

The area of the triangle is 7.5 units and the width of the rectangle is 3 units.

Explanation:

The area of a triangle can be calculated using the formula A = (base * height) / 2. In this case, the base of the triangle is given as 5 units and the height is given as 3 units.

So, the area of the triangle is A = (5 * 3) / 2 = 15 / 2 = 7.5 units.

The area of the rectangle is given as 5 units long and units wide. Since the area of the triangle is equal to half of the area of the rectangle, we can set up the equation 7.5 = (5 * width) / 2 and solve for the width.

By multiplying both sides of the equation by 2 and then dividing by 5, we get width = (7.5 * 2) / 5 = 15 / 5 = 3 units. Therefore, the width of the rectangle is 3 units.