The dimensions of a certain ibm machine are 20" x 17" x 48". if the size of the machine is increased proportionately until the sum of its dimensions equals 200", what will be the increase in the shortest side

Answers

Answer 1

The dimensions of the machine are 20,48 and 17. If each dimension is increased by a factor of x;
Then new dimensions are
20x, 48x and 17x
The sum of the dimensions are ;
20x + 48x + 17x = 200
85x = 200
x = 200/85
Therefore each dimension was increased by a factor of x,
The new dimension of the shortest side is 17” * 200/85 = 40
So the increase in the shortest side ;
40-17 = 23”

Related Questions

Which of the following is not a method used to prove triangles congruent?

A) AAS Theorem
B) SSA Postulate
C) SAS Postulate
D) ASA Postulate

Answers

I'm pretty sure SSA postulate doesn't exist

Answer:

B) SSA Postulate

Step-by-step explanation:

Two triangles are congruent if they are of the same shape and size.

Two triangles can be proved congruent by AAS ,SAS ,ASA ,SSS ,HL postulates.

Two triangles are congruent if two angles and one side of both the triangles are congruent that is AAS and ASA postulates.(option A and D)

The triangles can be congruent by SAS that is if two sides and included angle of two triangles are congruent then the triangles are congruent .(Optionc)

Option B that is SSA is not a congruence postulate.

The next term of the arithmetic sequence 39,60,81,102,123.....is

Answers

it is 144 just add 21

the next number is the previous number plus 21
so the next number is 123 +21 = 144

Samantha has 3 times as many baseball cards as mark. mark has 12 baseball cards. write an equation that shows how many cards samantha has.

Answers

s= 3 x 12
hope this helped :)

Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house

Answers

You haven't provided the graph, therefore, I cannot provide you with a specific solution for this question.
However, I will tell you how to solve it and you can apply on the graph you have.

Now, we are given that:
x-axis represents the distance in ft
y-axis represents the time in minutes

To get the time that she has walked when she reaches the farthest point from her house, all you have to do is:
1- go to the greatest point on the x-axis. This point would be representing the farthest distance.
2- get the value of the y corresponding to the x-point you got in step one. This would be the time walked when she reaches the farthest point which is the value you are looking for.

Hope this helps :)

Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let f ( x ) f(x) represent Primo Pizza's profit x x days after June 1. Let g ( x ) g(x) represent Pizza Supreme's profit x x days after June 1. Suppose Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme. Express the function f f in terms of the function g
g.

Answers

For this case we have the following functions:
f (x) = Primo Pizza's profit
g (x) = Pizza Supreme's profit.
According to the statement we have:
"Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme"
Therefore, we can write one function in terms of the other in the following way:
f (x) = 2g (x)
Answer:
the function f in terms of the function g is:
f (x) = 2g (x)

Final answer:

The profit of Primo Pizza is twice the profit of Pizza Supreme each day. Therefore, if g(x) represents the profit of Pizza Supreme x days after June 1, then f(x), representing Primo Pizza's profit, is given by f(x) = 2g(x). This means if Pizza Supreme's profit on a particular day is $500, Primo Pizza's profit on the same day is $1000.

Explanation:

In this problem, we are given that the profit of Primo Pizza (represented by the function f(x)) is two times larger than the profit of Pizza Supreme (represented by the function g(x)). This relationship between the two profits can be expressed as f(x) = 2 * g(x). So, if you know the profit of Pizza Supreme on a particular day (g(x)), you can determine the profit of Primo Pizza on that day by doubling the profit of Pizza Supreme.

For instance, if Pizza Supreme's profit 10 days after June 1st is $500 (so, g(10) = $500), then Primo Pizza's profit on the same day would be f(10) = 2 * g(10) = 2 * $500 = $1000. Thus, Primo Pizza is making twice the profit of Pizza Supreme each day.

Learn more about Functions here:

https://brainly.com/question/30721594

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Josie had a choice of 3 breads, 4 choices of meat, and 4 choices of cheeses to make a sandwich.
How many different sandwiches can she make?

24

36

48

60

Answers

3*4*4=48
she can make 48 different sandwiches

Answer:

The answer is 48

Step-by-step explanation:

For every different sandwich, she needs to choose one breat, one meat and one cheese.

For each choice of bread, there are 4 choices of meat and 4 choices of cheese. Also, for each meat, there are four choices of cheese. It means that for each bread there are 4(choices of meat)*4(choices of cheeses) = 16 possible combinations.

There are also 3 choices of breads. For each bread, there are 16 possible combinations. So, in all, there are 3*16 = 48 possible combinations.

create the equation of a quadratic function with a vertex of (5,6) and a y-intercept of -69

Answers

if the y-intercept is at -69, meaning the point is (0, -69), thus x = 0, y = -69

[tex]\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\ -------------------------------\\\\ vertex~(5,6)\quad \begin{cases} x=5\\ y=6 \end{cases}\implies y=a(x-5)^2+6 \\\\\\ \textit{we also know that } \begin{cases} x=0\\ y=-69 \end{cases}\implies -69=a(0-5)^2+6 \\\\\\ -75=25a\implies \cfrac{-75}{25}=a\implies a=-3 \\\\\\ therefore\qquad \boxed{y=-3(x-5)^2+6}[/tex]

The diameter of your bicycle wheel is 25 inches. How far will you move in two turns of your wheel? Use 3.14 for π.
A) about 39 inches
B) about 78 inches
C) about 157 inches
D) about 314 inches

Answers

[tex]circumference \: = 2\pi \: r [/tex]
diameter = 25 inches
radius = 25/2
= 12.5 inches

= 2(3.14)(12.5)
= 78.5 inches ( for a turn )

Two turns = 78.5 inches X 2
= 157 inches

C.

Answer: D) About 314 inches

Step-by-step explanation:

Since, the radius of the wheel = 25 inches

Also, the angle in one turns of the wheel [tex]= 2\pi[/tex]

⇒ The angle in 2 turn of the wheel [tex]= 4\pi[/tex]

Hence, the distance it will cover in two turns

[tex]= 4\pi\times 25[/tex] ( Arc length = central angle × radius)

[tex]= 4\times 3.14\times 25[/tex]

[tex]=314.159265\approx 314\text{ inches}[/tex]

⇒ Fourth option is correct.

The surface area of a box is 160. the length of the box is twice its width as well as 4 less than its height. how many units are in the height of the box? (the surface area of a box is the sum of the areas of all 6 of its rectangular faces.) aops

Answers

Width = n
Length = 2n
Height = 2n + 4
2 (n x 2n) = 4n^2
2 (n x (2n + 4)) = 4n^2 + 8n
2 (2n x (2n + 4)) = 8n^2 + 16n

4n^2 + 4n^2 + 8n + 8n^2 + 16n = 160
16n^2 + 24n = 160
(Divide everything by 8)
2n^2 + 3n = 20
2n^2 + 3n - 20 = 0
(2n - 5)(n + 4) = 0

n = 2.5 Or n = -4

However n can not be less than 0

So n = 2.5
Height =2n +4
=2(2.5) +4
=5+4
=9

Final Answer:

The height of the box is 9 units.

Explanation:

Let's denote the width of the box as w, the length as l, and the height as h. According to the problem, we have the following relationships:
l = 2w (the length is twice the width) and
l = h - 4 (the length is also 4 less than the height).

The surface area SA of a rectangular box is calculated by the formula:
SA = 2lw + 2lh + 2wh.

Given that the surface area is 160, we set up our equation:
160 = 2lw + 2lh + 2wh.

Now let's substitute the relations l = 2w and l = h - 4 into the surface area equation:
Since l = 2w, 160 = 2(2w)w + 2(2w)h + 2wh.

Simplifying the equation, we have:
160 = 4w² + 4wh + 2wh
160 = 4w² + 6wh

Now we use the fact that l = h - 4 to substitute for h:
h = l + 4
h = 2w + 4

Now substitute h back into the surface area equation:
160 = 4w² + 6w(2w + 4) ,

Expand the terms:
160 = 4w² + 12w^2 + 24w,

Combine like terms:
160 = 16w² + 24w

Now, we must solve for w. Let's move all terms to one side to solve the quadratic equation:
16w² + 24w - 160 = 0

Divide all terms by 8 to simplify:
2w² + 3w - 20 = 0

We can now attempt to factor the quadratic equation:
(2w - 5)(w + 4) = 0

This gives us two solutions:
2w - 5 = 0 or w + 4 = 0

Solving the first equation for w:
2w = 5,[tex]$ w = \frac{5}{2} $[/tex]

w = 5/2
We can disregard the second solution w + 4 = 0 for w, as it gives us a negative width, which isn't possible for a box.

Now that we have w, we can find h.
Using our earlier substitute for h:
h = 2w + 4 ,
[tex]h = 2 \cdot \frac{5}{2} + 4[/tex] ,
h = 5 + 4 ,
h = 9 .
Thus, the height of the box is 9 units.

Heidi's hair was 2/3 of a meter long. her grandfather cut off 1/6 of a meter of her hair. how long is heidi's hair now?

Answers

The answer to this is 1/2 of a meter long.

I WILL GIVE 40 POINTS FOR EACH QUESTION REALLY NEED HELP THERE ANOTHER POST FOR THE OTHER QUESTION IT WILL BE ANOTHER 40 AS WELL AND MARKED AS BRAIN~LEST AND STAR RATEING

Answers

The first page is S^2

The fourth page is The last option

The fifth page maybe the last one (im not sure)

Answer:The first page is S^2

The fourth page is The last option

The fifth page maybe the last one

Step-by-step explanation:

*URGENT ALGEBRA 2* Anyone know these answers? Choices provided. Will award brainliest.

Answers

These are six questions and six answers

Question 1. Translate y = 2/x 3 units to the left and 4 units up.

Answer:

          2
y = -------- + 4 <------- the fourth option
      (x + 3)

Explanation:

1) Given function:

y = f(x) = 2 / x

2) Translatiing 3 units to the left is making f(x + 3), so that implies:

y = 2 / (x + 3)

3) Translating 4 units up is making f(x + 3) + 4, so that implies:

          2
y = -------- + 4
      (x + 3)

Which is the fourth option.

Question 2. simplify

t^2 + 2t - 24
----------------
t^2 - 36

Answer: fourth option

t - 4
------ , with t ≠ - 6 and t ≠ 6.
t + 6

Explanation:

1) Factor the numerator:

t^2 + 2t - 24 = (t + 6) (t - 4)

2) Factor the denominator:

t^2 - 36 = (t + 6) (t - 6)

3) Rewrite the fraction:

(t + 6) (t - 4)
-------------------
(t + 6) (t - 6)

4) Cancel the factor t + 6 which is in both numerator and denominator, which you can do only y t + 6 ≠ 0 => t ≠ -6.

t - 4
-------
t - 6

That is the simplified expression, with the restrictions that t ≠ - 6 and t ≠ 6, because the denominator cannot be 0.

Question 3. Find the product of:

x^2 + 7x + 10   x^2 - 3x - 18
------------------ * ---------------------
      x + 3                x^2 + x - 2

Answer: the fhird option:

(x + 5) (x - 6)
------------------
      x - 1

with x ≠ -3, x ≠ - 2, and x ≠ 1.

Explanation:

1) Factor x^2 + 7x + 10

x^2 + 7x + 10 = (x + 5) (x + 2)

2) Factor x^2 - 3x - 18

x^2 - 3x - 18 = (x - 6)(x + 3)

3) Factor x^2 + x - 2

x^2 + x - 2 = (x + 2) (x - 1)

4) Rewrite the given expression using the factors:

(x + 5) (x + 2) (x - 6) (x + 3)
--------------------------------------
     (x + 3) (x + 2) (x - 1)

5) Cancel the factors that appear on both the numerator and denominator:

(x + 5) (x - 6)
------------------
      x - 1

The restrictions are those values of x that make any factor that is or was in the denominator: x ≠ -3, x ≠ - 2, and x ≠ 1.

Question 4. Simplify the complex fraction:

       n - 4
     ------------------
      n^2 - 2n - 15
--------------------------
             n + 1
          -----------
             n + 3

Answer: option 4.

       n - 4
------------------
(n - 5) ( n + 3)

Explanation

1) Factor n^2 - 2n - 15

n^2 - 2n - 15 = (n - 5)(n + 3)

2) rewrite the expression:

     n - 4
---------------------
(n - 5) ( n + 3)
----------------------------
              n + 1
            ----------
              n + 3

3) Convert (n + 1) / (n + 3) into its reciprocal (n + 3) / (n + 1), and multiply instead of dividing.

     n - 4              n + 3
--------------------- * --------
(n - 5) ( n + 3)      ( n + 1)

4) Cancel n + 3

       n - 4
------------------
(n - 5) ( n + 3)

That is the simplest form.

Question 5. Find the difference

Answer: second choice

1 - n
--------
n + 4

Explanation:

1) given:

n^2 + 3n + 2        2n
----------------- -   -------
n^2 + 6n + 8       n + 4

2) factor the two quadratic trinomials

n^2 + 3n + 2 = (n + 2) ( n + 1)

n^2 + 6n + 8 = (n + 4) (n + 2)

3) Rewrite the expression:

   (n + 2) (n + 1)          2n
----------------------- - -------
   (n + 4 ) (n + 2)       n + 4

4) cancel the factor n + 2

   n + 1          2n
----------- -   --------
   n + 4         n + 4

5) subract the fractions. They have the same denominator.

n + 1 - 2n           1 - n
--------------- =     ----------
    n + 4                n + 4

And that is the simples form.

Question 6. Problem

Irina paints 1 room in 9 hours
Paulo paints 1 room in 8 hours

How long working together?

Answer:

x / 9 + x / 8 = 1, x ≈ 4.24 hours

Explanation:

1) In the time x, Irina will paint x / 9 parts of the room

2) Paulo will paint (in the same time) x / 8 parts of the same room

3) The total painted is 1 room.

So the equation is:

x / 9 + x / 8 = 1

4) The solution of that equation is:

[8x + 9x ] / (9*8) = 1

=> 8x + 9x = 72

=> 17x = 72

=> x = 72 / 17

=> x ≈ 4.24 hours

A jug of juice has 7 cups of pineapple juice and 3 cups of orange juice. write the ratio of number of cups of pineapple juice to total number of cups of juice *

Answers

this ratio would be 7:10

Use the quadratic function to predict f(x) if x equals 2. f(x) = −3x2 + 180x − 285

Answers

f (x) = -3x2 + 180x - 285
For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.
We have to replace:
f (2) = -3 * (2) ^ 2 + 180 * (2) - 285
f (2) = 63
Answer:
the value of pa for x = 2 is:
f (2) = 63

The area of a parallelogram is 400m2 the base is 25m find the length of the height

Answers

HEIGHT=6400 DUE TO THE FACT THAT U ARE MULTIPLYING 400 TWICE, THEN DIVIDING BY 25.

Suppose that x and y vary inversely and x = 1 when y = 12. Write a function that models the inverse variation. Graph the function and find y when x = 20.

Write a function that models the inverse variation.

Answers

An inverse variation in its generic form can be for example:
y = k / x
We observe that we must find the value of k.
For this, we use the following fact:
"x = 1 when y = 12"
Substituting we have:
12 = k / 1
Therefore k = 12
Thus, the equation is:
y = 12 / x
For x = 20 we have:
y = 12/20
y = 6/10
y = 3/5
y = 0.6
Answer:
when x = 20, and is:
y = 0.6
See attached graph.

A basketball player scored 2222 times during one game. hehe scored a total of 3030 points, two for each two-point shot and one for each free throw. how many two-point shots did hehe make

Answers

He scored 8 more points than shots, so must have made 8 2-point shots.

the gray is a sidewalk and the turquoise is grass. Both are squares. What is the area of the sidewalk?
A) 4 ft2
B) 36 ft2
C) 44 ft2
D) 48 ft2

Answers

D 48. I'm pretty sure that's it I'm sorry if I was late to answer your question. Tell me if it was right or wrong and what answer it was. It was my pleasure to help. :)

Answer:

C 44 ft2 i just took the test .

Step-by-step explanation:

How do you represent 4/7 + 3/14 on a number line?
Please Help Asap!!

Answers

well u need common denominators so 3/14 easy number line and 4/7=8/14 multiply by 2

The windows of a downtown office building are arranged so that each floor has six fewer windows than the floor below it. If the ground floor has 52 windows, how many total windows are on the first eight floors?

Answers

248

windows on first floor = 52

windows on 8th floor (52 - 6 * 7) = 10

average windows = (52 + 10)/2 = 62/2 = 31

8 floors * 31 average windows = 248.

Answer:

There are 248 windows on the first eight floors.

Step-by-step explanation:

As given:

The ground floor has 52 windows.

This question is based on arithmetic sequence:

a1 = 52

d = - 6 (each floor has six fewer windows than the floor below it)

[tex]a_n=a1+(n-1)d[/tex]

[tex]a_8 =a1+7d[/tex]

=> [tex]52+[7 \times (-6)][/tex]

=> [tex]52-42 =10[/tex]

We know:

[tex]S_n= n/2 \times (a1 +a _n)[/tex]

[tex]S_8 =8/2 \times(52+10)[/tex]

= 248

Therefore, there are 248 windows on the first eight floors.

A cylinder shaped drum is used to store used motor oil. The drum has a height of 3 ft and a radius of 1.5 ft. How many cubic feet of oil does the drum hold? Use 3.14 to approximate pi. Enter your answer as a decimal rounded to the nearest hundredth in the box.

Answers

The answer is 21.2 ft²
To do this we need to calculate the volume of the cylinder shaped drum.The volume (V) of the cylinder with height h and radius r is:V = π r² h
We have:π = 3.14r = 1.5 fth = 3 ft
Therefore:V = π r² hV = 3.14 * (1.5 ft)² * 3 ftV = 21.2 ft²
here you go

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

What you must do in this case is to find the roots of the polynomial.
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16

Patrick is constructing the circumscribed circle for △RST.

Which construction could be his first step?

Construct the perpendicular bisector of ST¯¯¯¯¯ .

Construct the angle bisector of ∠T .

Construct a copy of ∠S that is adjacent to ∠R .

Construct the angle bisector of ∠R .

Answers

To me, the answer would be the option A :
Construct the perpendicular bisector of ST¯¯¯¯¯ .

Hope this helps !

Photon

3, 12, 48, 192, 768, . . .
This sequence has a
A.] common difference of 4
B.] common ratio of 4
C.] common difference of [tex] \frac{1}{4}[/tex]
D.] common ratio of [tex] \frac{1}{4}[/tex]

Answers

The answer would be the sequence has a common ratio of 4.
The explanation for this would be:
To get the common ratio for get the simplest form of the two numbers, so 12/3 = 4 and 48/12 = 4So we know that their common ratio is 4.
To check:
3 x 4 = 12
12 x 4 = 48
48 x 4 = 192
192 x 4 = 768

a triangular plot of land has boundary lines 45 meters, 60 meters, and 70 meters long. the 60 meter boundary line runs north-south. Is there a property for the boundary line that runs east-west

Answers

Final answer:

No, there is no property for the boundary line that runs east-west.

Explanation:

No, there is no property for the boundary line that runs east-west. This is because if we have a triangle with side lengths 45 meters, 60 meters, and 70 meters, and the 60 meter side runs north-south, then the other two sides must be at an angle to the north-south line. It is not possible for one of the sides to be parallel to the north-south line (east-west) because that would create a rectangle rather than a triangle.

What is the slope of a line perpendicular to the line y=3/4x+1

Answers

Answer: -4/3

The slope of the given line is 3/4. It's simply the value in front of the x. To be more specific, the equation given to us is in the form y = mx+b where m = 3/4 is the slope.

Flip the fraction and then the sign
flip the fraction: 3/4 ----> 4/3
Then flip the sign: 4/3 ----> -4/3
In other words, we take the negative reciprocal

Notice how the original slope 3/4 and the perpendicular slope -4/3 multiply to -1

gina is traveling to the beach 20 miles away from her house.On Ginas map her house and the beach are 4 inches apart what is the scale used for Ginas map

Answers

The scale is 5. because you can divide 2o by 4 to get that answer.

Gina is travelling to the beach 20 miles away from her house.

On Ginas map her house and the beach are 4 inches apart

That is a distance of 20 miles is represented by the Ginas map in 4 inches

Therefore, on Ginas map one inch will be = 20/4 miles = 5 miles

So, the scale used for Gina's map is 1 inch = 5 miles

Hope this helps..!!

Thank you :)

which method is most efficient in solving a system of linear equations when the two equation have x-values with opposite coefficient values

A. GUESS AND CHECK
B. GRAPHING
C. SUBSTITUTION
D. ELIMINATION

Answers

Answer: D) Elimination

For example, consider the system of equations below
2x+3y = 9
-2x+6y = 18
Adding straight down will have the x terms (2x and -2x) add to 0x which is just 0. The x terms will go away. In this case, the 2 and -2 are opposite coefficient values for the x terms.

The radius of a circle is 10 feet. What is the angle measure of an arc 4 feet long?

Answers

The angle measure is 22.9183 deg

Hope this helps u

Orlando bought a new couch for 2,736, using the furniture store's finance plan. He will pay $114 a month for 24 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?

Answers

x: months

y: debts after each month

y = $2736 - $114 * x

I hope this is self-explanatory.

Answer:

[tex]y = 2736 - 114x[/tex]

Step-by-step explanation:

It is given that the cost of the couch was $2,736. Orlando bought that couch using furniture store's finance plan. The plan says that he is supposed to pay $114 per month for a period of 24 months.

we are asked to determine the equation which can determine the total amount still due on orlando after x number of months.

Let the total number of month we are calculating = x

Payment per month = $114

Hence payment made in x months = $114x

Hence payment still owned by Orlando = $2736-$114x

Above equation gives us the dues on Orlando

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