Complete question :
The University but a total of 2200 computers they bought three kinds of computers HP, IBM and dell. The ratio of theNumber of HP computers to IBM to dell is 2:3:6 each HP computer cost $750 each dell computer cost 90% of the price of an HP computer if the University spent a total of $1,650,000 what is the total cost of each IBM computer
Answer:
$900
Step-by-step explanation:
Given that :
Total amount of computers purchased = 2200
Number of brands purchased = 3;
HP, IBM and DELL
The ratio of theNumber of HP computers to IBM to dell is 2:3:6
Cost per HP = $750
Cost per Dell = 90% of HP = 0.9 × $750 = $675
Total amount spent = $1,650,000
2:3:6 = (2+3+6) = 11
Number of IBM computers purchased :
(3/11) * 2200 = 600 IBM
(2/11) * 2200 = 400 HP
(6/11) * 2200 = 1200 DELL
TOTAL Cost of HP = (400 × $750) = $300,000
TOTAL cost of Dell = (1200 * $675) = $810,000
TOTAL cost of IBM :
$1,650,000 - ($300,000 + $810,000)
$1,650,000 - $1,110,000 = $540,000
Cost of each IBM:
540,000 / 600 = $900
Which of the following is the correct formula for distance?(1 point) d=(x2−x1)+(y2−y1)−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and (x2,y2). d=(x2+x1)2+(y2+y1)2−−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and (x2,y2). d=(x2−x1)2+(y2−y1)2, where d is the distance between points (x1,y1) and (x2,y2). d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and
Answer:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Please help me check my work. Question: A square field has an area of 479 ft². What is the approximate length of a side of the field? Give your answer to the nearest foot. My answer: 22. This is because the square root of 479 is 21.88606862823929. So the answer would be about 22.
yeah this is just about right
Of you add 7 to 3 times the no. you will get 31 . What are the two no.
Answer:
8
Step-by-step explanation:
For all integer values of x and constant k, if (x+6)(x+k)=x^2+14x+48, what is the value of k?
Answer:
8
Step-by-step explanation:
The product of terms on the left of the equal sign is ...
(x+6)(x+k) = x^2 +(6+k)x +6k
So, you have two clues to the value of k. The coefficient of x must match, and the constant must match.
6+k = 14 ⇒ k = 8
6k = 48 ⇒ k = 8
The value of k is 8.
I’m mainly looking for help with #15 for this one please
Answer:
[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]
[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]
[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]
Step-by-step explanation:
So we want to left and right hand limits of the function:
[tex]f(x)=\sin{\frac{\pi}{\floor[x]}[/tex]
as x approaches 3.
Note that the [x] means the floor function a.k.a the greatest integer function. In other words, the value of the function will be the greatest integer less than or equal to x.
1) Left
So we have the limit:
[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}[/tex]
Note that since we're coming from the left, the values are 2.9, 2.99, and 2.999...
As I mentioned previously, the floor function outputs the greatest integer less than or equal to x.
With 2.9, 2.99, and 2.999, the greatest integer less than or equal to x is 2.
Therefore:
[tex]=\sin{\frac{\pi}{2}[/tex]
Simplify:
[tex]=1[/tex]
So:
[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]
2) Right:
[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}[/tex]
Since we're coming from the right this time, the values are going to be 3.01, 3.001, 3.001.
And, the greatest integer less than or equal to 3.01, 3.001, and 3.001... is 3.
Therefore:
[tex]=\sin{\frac{\pi}{3}[/tex]
Simplify:
[tex]=\frac{\sqrt3}{2}[/tex]
So:
[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]
At 3:
So we have:
[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}[/tex]
The greatest integer of 3 is just 3. So:
[tex]=\sin{\frac{\pi}{3}\\[/tex]
Simplify:
[tex]=\frac{\sqrt3}{2}[/tex]
So:
[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]
Without simplifying, select all the expressions that represent a rational number. Group of answer choices LaTeX: 4\frac{2}{3}\times\frac{8}{\sqrt{3}} 4 2 3 × 8 3 4 2 3 × 8 3 4 2 3 × 8 3 LaTeX: 4\frac{2}{3}+\frac{\sqrt{3}}{9} 4 2 3 + 3 9 4 2 3 + 3 9 4 2 3 + 3 9 LaTeX: 4\frac{2}{3}-\frac{\sqrt{4}}{8} 4 2 3 − 4 8 4 2 3 − 4 8 4 2 3 − 4 8 LaTeX: 4\frac{2}{3}\times\frac{\sqrt{3}}{9} 4 2 3 × 3 9 4 2 3 × 3 9 4 2 3 × 3 9 LaTeX: 4\frac{2}{3}\div\frac{\sqrt{4}}{8} 4 2 3 ÷ 4 8 4 2 3 ÷ 4 8 4 2 3 ÷ 4 8
Answer:
Well the real answer is 1st 2nd and 5th
Step-by-step explanation:
Just took the quiz
12 14 22 14 18 23 42 13 9 19 22 14
what is the mean
Answer: 18.5
Step-by-step explanation:
The way to find the mean of a data set is to add up all the values and then divide by the number of data points.
First add up all of the values. 12+14+22+14+18+23+42+13+9+19+22+14=222.
Now count how many data points there are. There are 12 data points.
Finally, divide the sum you got by the number of data points. 222/12=18.5
help due soon......
Answer:
Step-by-step explanation:
let x=1.8888...
10x=18.8888...
10x-x=18.8888...- 1.8888...
9x=17
x=17/9
So 1.8888... is equal to 17/9
Answer:
1,888 is equal [tex]\frac{17}{9}[/tex]
Step-by-step explanation:
x = 1,888...
10x = 18,88...
10x - x = 18,88 - 1,88
9x = 17
x = [tex]\frac{17}{9}[/tex]
Find the solutions of the quadratic equation 3x2 - 4x + 4 = 0
Answer:
No real solution
Step-by-step explanation:
[tex]3x^2-4x+4=0\quad\implies\quad a=3\,,\quad b=-4\,,\quad c=4\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot3\cdot4}}{2\cdot3}=\dfrac{4\pm\sqrt{-32}}{6}[/tex]
There is no solution in real number as it's no real √[-32]
{solutins in complex numbers would be: [tex]x_1=\frac{4+4\sqrt{2}\,i}{6}=\frac{2+2\sqrt{2}\,i}{3}\\ x_2=\frac{2-2\sqrt{2}\,i}{3}[/tex] }
20 POINTS !!!
Find the distance between the points (3,-4) and (5, 4)
Answer:
[tex]d=2\sqrt{17}\approx8.2462[/tex]
Step-by-step explanation:
To find the distance between two points, use the distance formula.
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(5-3)^2+(4--4)^2[/tex]
Simplify:
[tex]d=\sqrt{(2)^2+(8)^2[/tex]
Square:
[tex]d=\sqrt{4+64}[/tex]
Add:
[tex]d=\sqrt{68}[/tex]
Simplify:
[tex]d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}[/tex]
Simplify:
[tex]d=2\sqrt{17}\approx8.2462[/tex]
Answer:
[tex]\boxed{2\sqrt{17}}[/tex]
Step-by-step explanation:
To find the distance between two points, we use the distance formula. The distance formula is:
[tex]\boxed{d=\sqrt{(x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2}}}}[/tex]
Therefore, we can label our coordinate pairs and solve for d.
Because we are given two coordinate pairs, we will follow the standard naming system for coordinate pairs. This is [tex](x_{1}, y_{1}) \text \: {and} \: (x_{2}, y_{2})[/tex]. Therefore, we can implement the distance formula and solve.
[tex]\sqrt{(5-3)^{2}+(4-(-4))^{2}}\\\\\sqrt{(2)^{2}+(8)^{2}}\\\\\sqrt{4 + 64} \\\\\sqrt{68} \\\\\boxed{2\sqrt{17} }[/tex]
How do you find a line tangent to another line?
Answer:
Step-by-step explanation:
1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.
If one bus takes 15 minutes to refill diesel in the tank than 4 buses will take how many minutes to refill
Answer:
1-->15 min
4-->x min
Step-by-step explanation:
x=15×4=60
4 buses will take 60 min to refill
In hours, 60min÷60=1 hour
Answer:
Step-by-step explanation:
x=15×4=60
4 buses will take 60 min to refill
In hours, 60min÷60=1 hour
4m-3/4= -9+4m/8 helppp
Answer:
m=− 33/14 =−2.357
Step-by-step explanation:
if you search up you question the first thing will come up is an answer from tiger algebra is may not be you question but click on it is will take to to this search bar area clear it and put you question in it then it will give your answer and step by step explanation
Help please how do I solve for k
1/4 (12x - 20) = -70
Divide each term in the bracket by 4:
=
3
x
−
2
Explanation:
Multiplying by
1
4
is the same as dividing by 4. - You are finding a quarter of something.
To find a quarter of the bracket, divide each coefficient by 4.
You will get two unlike terms so you will not be able to simplify them.
This is the reason why you cannot simplify inside the original bracket either.
Step-by-step explanation:
need help with these questions
Answer:
for question no 4
answer is 53
for question no 5
answer is -10
4b+4<4(5-3b) how do u break this down to get the right answer
4b+4<20-12b
16b<16
b<1 olur.
İYİ DERSLER!
Answer:
See answer in the image below.
+3х2+3x2
What is that answer simplified?
Example of a function and why?
Answer:
f(x) = x + 2
Step-by-step explanation:
If we graph x + 2, we can see that it passes the Vertical Line Test. Each x-value only has 1 y-value.
E={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16} A={x:x is a multiple of 3} B={x:x is a factor of 24} C={x:x is an odd number} (i) Find (a) n(B),
B={1,2,3,4,6,8,12,24}
n(B)=8
Answer:
[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{3 \: , \: 6 \: , \: 12}}}}}[/tex]
Step-by-step explanation:
Given,
E = { 1 , 2 , 3 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 }
Here, E is the universal set.
A = { x : x is a multiple of 3 }
Here, we have to list the multiples of 3 less than 16
A = { 3 , 6 , 9 , 12 , 15 }
B = { x : x is a factor of 24 }
Here, we have to list the factors of 24 less than 16 }
Factor of 24 means the numbers that can divide 24 easily.
Factor of 24 includes :
B = { 1 , 2 , 3 , 4 , 6 , 8 , 12 }
C = { x : x is an odd number }
Here, we have to list the odd numbers which are less than 16
C = { 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 }
Finding A ∩ B
Here, We have to find the common elements that are present in both A and B
{ 3 , 6 , 9 , 12 , 15 } ∩ { 1 , 2 , 3 , 4 , 6 , 8 , 12 }
= { 3 , 6 , 12 }
Hope I helped!
Best regards!!
3 out of 4 divided by 1 out of 16 fraction
Answer:
12
Step-by-step explanation:
Given
[tex]\frac{3}4}[/tex] ÷ [tex]\frac{1}{16}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
[tex]\frac{3}{4}[/tex] × [tex]\frac{16}{1}[/tex] ← cancel 4 and 16 by 4
= [tex]\frac{3}{1}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{4(3)}{1(1)}[/tex] = [tex]\frac{12}{1}[/tex] = 12
Can you please help me so I can get a better understanding? h(n)=3n, Find h(6)
Answer:
18
Step-by-step explanation:
So we have the function:
[tex]h(n)=3n[/tex]
And we want to find h(6).
To do so, simply substitute 6 for n. In other words:
[tex]h(n)=3n\\h(6)=3(6)[/tex]
Multiply:
[tex]h(6)=18[/tex]
So, our answer is 18 :)
Answer:
h(6) = 18
Step-by-step explanation:
To evaluate h(6), substitute n = 6 into h(n) , that is
h(6) = 3(6) = 18
What’s the value of 5•5•5•5•5•5•5•5
Answer:
390625 or it could be 5⁸
Step-by-step explanation:
It could be either of those depending on the answer needed
Answer: is this about exponents. if yes then its 5 to the eighth power
Step-by-step explanation:
PLEASE HELP ME I NEED THIS BY TONIGHT!!!! Ed Moura has $85000 invested in stocks paying 5%. How much additional money should he invest in certificates of depositing paying 2% so that the average return on the two investments is 3%?
Answer:
$170,000
Step-by-step explanation:
(1.05(85000))+1.02x=1.03(85000)+1.03y
honestly not sure but it's the best I got
which one is a irrational number and why ?
Answer: Option A, the square root of 40, is an irrational number.
Step-by-step explanation:
We are given 4 options:
- the sqrt of 40
- the sqrt of 49
- the sqrt of 100
- the sqrt of 9
All but one are perfect squares. Let's find out which one is not a perfect square.
The sqrt of 49 is 7. 7 times 7 is equal to 49.
The sqrt of 100 is 10. 10 times itself is equal to 100.
The sqrt of 9 is 3. 3 times 3 is equal to 9.
What about the square root of 40?
We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!
Answer:
A. √40
Step-by-step explanation:
√49 = 7
√100 = 10
√9 = 3
but,
√40 = 6.32455532, so this is immperfect square
Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4
Answer:
D. x=4 did the test on edge
Step-by-step explanation:
Simplify: 3x2 - 4x - 5x2 + 8x A) -2x2 - 12x B) -2x2 + 4x C) -2x2 + 12x D) 8x2 - 12x
Answer:
3x^2-4x-5x^2+8x.
which is collect like terms.
3x^2-5x^2-4x+8x.
-2x^2+4x.
The answer is option B
What is the numerical value of 123.45
123.45 = 12345 × 10−^2
Answer:
12345([tex]10^{-2}[/tex])
Step-by-step explanation:
To do this you would just multiply 123.45 by 100 so you have no decimals and you would get 12345 and then since is goes up by 100 you would get [tex]10^{-2}[/tex] because you would take 2 decimal places from that so you would get
12345([tex]10^{-2}[/tex]) as your answer
given:x+2<-5. choose the solution set.
Step-by-step explanation:
x+2<−5
Step 1: Subtract 2 from both sides.
x+2−2<−5−2
x<−7
Answer:
x<−7
please answer please!!!! Will mark brainliest for complete answer. -the first photo is to calculate the area. Just question number 7 a and b i). And question number 8.