The new copier can create 2000 copies in 20 minutes.
Step-by-step explanation:
Given,
It takes 60 minutes to make 2000 copies by old printer and 15 minutes to made x number of copies, therefore, using proportion
[tex]60:2000::15:x[/tex]
Product of mean = Product of extreme
[tex]2000*15=60*x\\30000=60x\\60x=30000[/tex]
Dividing both sides by 60
[tex]\frac{60x}{60}=\frac{30000}{60}\\x=500[/tex]
As the new copier is working with old copier, therefore,
Copies made by new printer = 2000 - 500 = 1500
New copier can make 1500 copies in 15 minutes and 2000 copies in x minutes, using proportion
[tex]1500:15::2000:x\\1500*x=15*2000\\1500x=30000[/tex]
Dividing both sides by 1500;
[tex]\frac{1500x}{1500}=\frac{30000}{1500}\\x=20[/tex]
The new copier can create 2000 copies in 20 minutes.
Keywords: ratio, proportion
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using elimination method, simultaneously solve, 6x+2y=20 and 0.5x-0.5y=1
Answer:
x=3, y=1. (3, 1)
Step-by-step explanation:
6x+2y=20
0.5x-0.5y=1
-----------------
6x+2y=20
1/2x-1/2y=1
----------------
6x+2y=20
2(1/2x-1/2y)=2(1)
------------------------
6x+2y=20
x-y=2
-------------------
6x+2y=20
x=y+2
---------------
6(y+2)+2y=20
6y+12+2y=20
8y+12=20
8y=20-12
8y=8
y=8/8
y=1
x=1+2=3
x=3, y=1.
Nders, Cones, and Spheres
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
12 cubic inches
36.2 cubic inches
647 cubic inches
817 cubic inches
TIME REM
55:20
Volume of sphere having radius of 3 inches is 113.04 cubic inches.
Solution:
Given that the radius of a sphere is 3 inches. Need to determine the volume of sphere
Formula for volume of sphere is as follows :
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Where V is volume of sphere , π is constant value = 3.14 and r = radius of a sphere.
In our case, r = 3 inches
On substituting the value of π as 3.14 and value of r as 3 inches in the formula of volume of sphere, we get
[tex]V=\frac{4}{3} \times 3.14 \times 3^{3}=4 \times 3.14 \times 9=113.04 \text { cubic inches }[/tex]
Hence volume of sphere having radius of 3 inches is 113.04 cubic inches.
HELP
9) An aircraft carrier left Hawaii and traveled
toward dry dock at an average speed of 15
mph. A submarine left two hours later and
traveled in the opposite direction with an
average speed of 15 mph. Find the
number of hours the submarine needs to
travel before the vessels are 300 mi. apart.
Answer:
The Time taken by submarines to travel before the vessel is 11 hours
Step-by-step explanation:
Given as :
The average speed of aircraft carrier = 15 mph
The average speed of submarine = 15 mph
The distance between them = 300 mile
The time taken by aircraft = T hour
The time taken by submarine = T + 2 hour
Now, Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]
So, Distance = Speed × Time
Now,
300 miles = 15 × T + 15 × ( T + 2)
Or, 300 = 15 T + 15 T + 30
or, 300 - 30 = 30 T
Or, 270 = 30 T
∴ T = [tex]\frac{270}{30}[/tex]
I,e T = 9 hours
So, T + 2 = 9 + 2 = 11 hours
Hence The Time taken by submarines to travel before the vessel is 11 hours Answer
if 16 candy bars cost $20,how much do 24 candy bars cost.?
To find the cost of 24 candy bars, calculate the cost per candy bar (found by dividing $20 by 16, equaling $1.25) and multiply it by 24. Therefore, 24 candy bars would cost $30.
Explanation:The subject of the question involves unit pricing, a common concept in mathematics. To find the cost of 24 candy bars, first identify the cost per candy bar, then multiply this unit price by the number of candy bars in question.
From the question, we know that 16 candy bars cost $20. So the unit price, or cost per candy bar, is $20 divided by 16, which equals $1.25.
Therefore, the cost of 24 candy bars would be $1.25 (the cost per candy bar) multiplied by 24 (the number of candy bars), which equals $30. Hence, 24 candy bars would cost $30.
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Solve the equation : n +32=60
1) n= 1.875
2) n= 28
3) n= 38
4) n= 92
N=28
Step-by-step explanation:
Subtract 32 from both sides
i think my answer also n=28
Which of the following points is a solution to a system of linear equations
y<3x+5
y>-2/3x-3
_
a.(3,14)
b.(3,9)
c.(3,-14)
d.(3,-9)
Final answer:
The point (3,9) is the solution to the system of linear equations because it satisfies both inequalities y < 3x + 5 and y > -2/3x - 3 when the values of x and y are substituted into them.
Explanation:
To determine which of the given points is a solution to the system of linear equations:
y < 3x + 5
y > -2/3x - 3
We substitute the x and y values of each option into the inequalities to find a match.
For point (3,14): Substitute x = 3 and y = 14 into the inequalities.
14 < 3(3) + 5, which simplifies to 14 < 14; this is false.14 > -2/3(3) - 3, which simplifies to 14 > -5; this is true.So, (3,14) does not satisfy both inequalities.For point (3,9): Substitute x = 3 and y = 9 into the inequalities.9 < 3(3) + 5, which simplifies to 9 < 14; this is true.9 > -2/3(3) - 3, which simplifies to 9 > -5; this is true.Therefore, (3,9) satisfies both inequalities and is the solution.Points (3,-14) and (3,-9) can be quickly dismissed as they give negative values for y, which won't satisfy the first inequality since it requires y to be less than a positive value.
A local hamburger shop sold a combined total of 614 hamburger and Cheeseburgers on Thursday. There were 64 more cheeseburgers sold then hamburgers. How many hamburger were sold on Thursday
Answer:
275
Step-by-step explanation:
h hamburgers
c cheeseburgers
(h + c) -total
(c + h) = 614
64 more cheeseburgers sold then hamburgers:
64 more cheeseburgers sold then hamburgers
(c - h) = 64
(c + h) = 614
+(c - h) = 64
2c = 678
c = 678/2 = 339
c + h = 614
339 + h =614
h = 614 - 339 = 275
help me plssss last one i need
Answer: y=2x-20
Step-by-step explanation:
y+18=2(x-1)
y+18=2x-2
y=2x-20
P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7
What does n=
Answer:
[tex]n = 3[/tex]
Step-by-step explanation:
Given:
The equation given is:
[tex]p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7[/tex]
We simplify the given equation using the following law of indices:
[tex]a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}[/tex]
Therefore,
[tex]p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5[/tex]
Since the base on both the sides is same, therefore, their exponents must also be same. This gives,
[tex]n+2=5\\n=5-2\\n=3[/tex]
Therefore, the value of 'n' is 3.
You receive an 11 percent commission on all sales you make if your commission for the month is 512.50 dollars what was your total sales
Total sales were $4659.1
Step-by-step explanation:
Given,
Commission = 11%
Amount of commission = $512.50
Let,
total sales = x
Therefore,
11% of x = 512.50
[tex]\frac{11}{100}x=512.50\\0.11x=512.50[/tex]
Dividing both sides by 0.11
[tex]\frac{0.11x}{0.11}=\frac{512.50}{0.11}\\x= $4659.1[/tex]
Total sales were $4659.1
Keywords: percentage, division
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3(3p +5) -6p + 3p(5-1)
Answer:
15p+15
Step-by-step explanation:
3(3p+5)-6p+3p(5-1)
9p+15-6p+3p(4)
9p-6p+15+12p
3p+12p+15
15p+15
Find the quotient of 2 ÷ 3/ 8. The quotient is 5 and ______
Answer:
1/3
Step-by-step explanation:
2 ÷ 3 /8
To divide by a fraction, multiply by its reciprocal.
2 ( 8 /3 )
Multiply
2
(
8
3
)
.
Tap for more steps...
16
3
The result can be shown in multiple forms.
Exact Form:
16
3
Decimal Form:
5.
¯
3
Mixed Number Form:
5
1 /3
5 is the quotient and 1 is a reminder.
What is the quotient?the result obtained by dividing two numbers is known as the quotient.
dividend / divisor = quotient + reminder
Given problem 2 ÷ 3/8. after simplifying it.
2 ÷ 3/8 = 16 ÷ 3
2 ÷ 3/8 = 5 + 1/3
Therefore the given problem quotient is 5 and the remainder is 1.
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Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
mc008-1.jp
mc008-2.jp
mc008-3.jp
mc008-4.jp
skskskksksksk
D
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=0.5\\b=2[/tex]
substitute
[tex]y=0.5x+2[/tex]
The easiest way to graph a line is with a pair of points.
Find the intercepts
The y-intercept is given ----> point (0,2)
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=0.5x+2[/tex]
[tex]x=-4[/tex]
so
The x-intercept is the point (-4,0)
Plot the intercepts and join the points to graph the line
using a graphing tool
The graph in the attached figure
Perpendicular to 3x-6y=-2 containing points (-3,-8)
Answer:
y = -2x - 14Step-by-step explanation:
[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m\ -\ \text{slope}\\b\ -\ \text{y-intercept}[/tex]
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]
[tex]\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope intercept from:}\\\\3x-6y=-2\qquad\text{subtract }\ 3x\ \text{from both sides}\\\\-6y=-3x-2\qquad\text{divide both sides by (-6)}\\\\y=\dfrac{-3}{-6}x+\dfrac{-2}{-6}\\\\y=\dfrac{1}{2}x+\dfrac{1}{3}\to m_1=\dfrac{1}{2}[/tex]
[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-1\cdot\dfrac{2}{1}=-2.\\\\\text{Put the value of a slope and the coordinates of the point (-3, -8)}\\\text{ to the equation of a line:}\\\\-8=-2(-3)+b\\\\-8=6+b\qquad\text{subtract 6 from both sides}\\\\-14=b\to b=-14\\\\\text{Finally:}\\\\y=-2x-14[/tex]
11 identical pairs of Air Jordan cost $660.What is the cost of one pair?
Answer:
$60
Step-by-step explanation:
11 identical pairs of Air Jordan cost $660.
To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.
Total amount paid = $660
Total number of pairs = 11
The cost of one pair [tex]=\$660 : 11=\$60[/tex]
To find the cost of one pair of Air Jordan sneakers from the total cost of 11 pairs, divide the total cost ($660) by the number of pairs (11), which equals $60 per pair.
Explanation:The question concerns determining the cost of one pair of Air Jordan sneakers given the total cost for 11 pairs. This is a basic division problem that falls under the category of arithmetic in mathematics. To find the cost of one pair, divide the total cost by the number of pairs. Here is how the calculation is done step-by-step:
Determine the total cost of all pairs together, which is given as $660.Count the number of identical pairs, which we know is 11 pairs.Divide the total cost by the number of pairs: $660 ÷ 11 pairs = $60 per pair.Therefore, the cost for one pair of Air Jordan sneakers is $60.
David drove 135 miles in 3 hours find the unit rate
Answer:
45 mph
The drawing will help
Answer: 45 miles per hour
Step-by-step explanation:
3 hours = 135 miles
divide both sides by 3
1 hour = 45 miles as you can write this as 45 miles per hour
what value is equivalent to -2 x 3² - 8 ÷ 2 + 6?
Answer:
−18x+2
Step-by-step explanation:
Which of the following is NOT a quadrilateral?
Triangle
Rectangle
Square
Trapezoid
Answer:
Triangle
The triangle has 3 sides but the other ones have 4 sides. A quadrilateral has 4 sides.
Anahita drives for 3 hours at 15 miles per hour. How far does she travel?
Answer:
45 Miles
Step-by-step explanation:
3 hours * 15mph= 45 Miles in 3 hours
If a dress were 20% off of the marked price of $32.00, how much would it cost?
Answer:
25.6
Step-by-step explanation:
$32.00 / 100 = $0.32
$0.32 x 20 = $6.40
So $32.00 - $6.40 = $25.60
Answer: $25.60
Step-by-step explanation: you just subtract 20% fro 30 on a calculator.
Please help whoever answers get brailnest
Answer:
-2/9
Step-by-step explanation:
help pls pls Which words or phrases describe parallel lines?
SELECT ALL THAT APPLY!!!!
common points
coinciding
coplanar lines
perpendicular
never intersect
Answer:
Never intersectCoplanar linesmr.jones is driving his car. He notices that he has traveled 6 miles in the last 10 minutes. How far will mr.jones travel in the next 15 minutes if he continues driving at the same rate?
Answer:
9 Miles
Step-by-step explanation:
6+(6/2)=9
Hope this helps!
Answer: 9 miles
Step-by-step explanation:
6 = 10
x = 15
x= 15* 6/ 10
X= 90/10
x= 9
Chose the substitution method to solve the system of equations choose the correct ordered pair 3x-y=7 2x-2y2
Answer:
(3, 2)
Step-by-step explanation:
3x-y=7
2x-2y=2
------------
y=3x-7
substitute this equation to 2x-2y=2
first, simplify 2x-2y=2 into x-y=1.
-----------------------------------------------------
x-(3x-7)=1
x-3x+7=1
-2x+7=1
-2x=1-7
-2x=-6
x=-6/-2=3
y=3(3)-7=9-7=2
Answer: x=3, y=2.
Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?
Select one:
A. y ≥ - 6.5x - 9
B. y ≥ 7x - 10
C. y ≥ 9x − 6.5
D. y ≥ 10x - 7
Answer:
C. y ≥ 9x − 6.5Step-by-step explanation:
[tex]-18x+2y\geq-13\qquad\text{add}\ 18x\ \text{to both sides}\\\\-18x+18x+2y\geq18x-13\\\\2y\geq18x-13\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\geq\dfrac{18x}{2}-\dfrac{13}{2}\\\\\boxed{y\geq9x-6.5}[/tex]
The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)
A. g(x) = (1/2) x^2
B. g(x) = 4x^2
C. g(x) = 1/4 x^2
D. g(x) = 2x^2
f(x) = x2
g(x) = ?
Answer:
Option A is correct.
Step-by-step explanation:
See the two graphs given in the diagram attached.
The first graph shows the function f(x) = x²
Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.
Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.
Hence, the y-value corresponding to the same x-value reduces by a factor [tex]\frac{1}{2}[/tex] in the second graph i.e. the graph of y = g(x) compared to the first graph.
So, we can conclude that the transformed graph has the equation [tex]g(x) = \frac{1}{2} x^{2}[/tex].
Hence, option A is correct. (Answer)
Answer:
The answer is g(x) = (1/2) x^2
Step-by-step explanation:
how do you find x? really confused
Answer:
[tex]x= 28\°[/tex]
Step-by-step explanation:
We have labelled the given diagram and redrawn again in the attachment.
Also from the labelled diagram given below the given details are;
∠CPQ =[tex](5y-4)\°[/tex]
∠RQF =[tex]3y\°[/tex]
∠BRH =[tex](2x+13)\°[/tex]
∠CPQ = ∠PQF (Alternate Interior Angle)
∠PQF + ∠RQF =180° (Straight angle property)
Now Substituting the values we get;
[tex]5y-4+3y=180\\8y=180+4\\8y=184\\y=\frac{184}{8}=23\°[/tex]
∠RQF =[tex]3y\° = 3\times23 = 69\°[/tex]
∠RQF = ∠BRH (corresponding angles)
[tex]69=2x+13\\2x = 69 -13\\2x=56\\x = \frac{56}{2} = 23\°[/tex]
Hence x = 23°
x-5y=33
5x-6y=70
solve the system by the addition method
For this case we have the following system of equations:
[tex]x-5y = 33\\5x-6y = 70[/tex]
We multiply the first equation by -5:
[tex]-5x + 25y = -165[/tex]
Thus, we have the equivalent system:
[tex]-5x + 25y = -165\\5x-6y = 70[/tex]
We add the equations:
[tex]-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5[/tex]
We find the value of the variable "x":
[tex]x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8[/tex]
Thus, the solution of the system is:
[tex](x, y) :( 8, -5)[/tex]
Answer:
[tex](x, y) :( 8, -5)[/tex]
1. Reduce: 21 =
21
Reduce:
28
Answer:
3/4
Step-by-step explanation:
21/28=3/4
Answer:
3/4
Step-by-step explanation:
Translate the sentence into an inequality.
Four subtracted from c is less than - 20 .
Answer:
[tex]\displaystyle -4 + c < -20[/tex]
Step-by-step explanation:
You could either do what I did in the above answer, or you could do this:
[tex]\displaystyle c - 4< -20[/tex]
It does not matter how you write it, as long as you understand the concept!
I am joyous to assist you anytime.