Answer:
It would take 1 hr, 7 min, 30 sec for the newer printer to work alone.
Step-by-step explanation:
x/1.5=45
45*1.5=67.5 minutes
67.5 minutes = 1 hr, 7 min, 30 sec
Final answer:
The time it would take for the new printer working alone to print a batch of newsletters is 67.5 minutes. This is determined by setting up an equation based on the combined work rates of the new and old printers.
Explanation:
The student is asking how long it would take for a new printer, which can print twice as fast as an older printer, to complete printing a batch of newsletters on its own if both printers can finish the task together in 45 minutes. This question involves setting up and solving a problem related to rates of work.
Let's denote the time it takes for the new printer to print the newsletters alone as T minutes. Since the new printer works twice as fast as the old printer, the old printer would take 2T minutes to do the job alone. When working together, they can finish the task in 45 minutes.
We can set up the equation based on their combined work rates like this:
1/T (new printer's rate) + 1/(2T) (old printer's rate) = 1/45 (combined rate).
Let's solve for T:
Calculate the combined rate of the printers: 1/T + 1/(2T) = 1/45
Combine the fractions on the left side: (2 + 1) / 2T = 1/45
Simplify the fraction to get a common denominator: 3 / 2T = 1/45
Cross-multiply to solve for T: 3 * 45 = 2T
Calculate T: 135 = 2T
Divide both sides by 2: T = 135 / 2
Finish solving: T = 67.5
Therefore, the new printer working alone would take 67.5 minutes to print the batch of newsletters.
How many times greater is the
value of the digit 4 in 4,560 than
in 241?
Answer:
100x
Step-by-step explanation:
4 in 4560 = 4000
4 in 241 = 40
4000 div by 40 = 100
Answer:
100
Step-by-step explanation:
i thihk
2x^2-19x+9=0 quadratic formula or zero product property. Which ever is easier?
Answer:
9
Step-by-step explanation:
x=9
PLEASE ANSWER QUICKLY!
Frank is 6 inches taller than his young brother, Pete. Pete's height is p . Write an algebraic expression to represent Frank's height.
Answer:
P + 6
Step-by-step explanation:
Add the equations.
3x - y = -1
+ - 3x + 3y= 27
O A. 2y = 26
O B. -2y=-28
O c. 4y= 28
O D. 6x - 4y= -28
Answer:
Step-by-step explanation:
3x - y = -1
-3x + 3y = 27
2 y = 26
When adding, 3x + (-3x) = 0
3y - y = 2y
27- 1 = 26
Answer:
2y = 26
Step-by-step explanation:
Just did it.
Find the distance between the two points (4, 1) and (10,9)
The distance between the two points (4, 1) and (10,9) is 10 units
CoordinatesAssume the points are A and B
The coordinates of the points are given as:
Point A = (4,1)Point B = (10,9)DistanceThe distance (d) between two points A and B is calculated as:
[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]
So, the above equation becomes
[tex]d = \sqrt{(4-10)^2 + (1 -9)^2}[/tex]
[tex]d = \sqrt{100}[/tex]
Take the positive square root of 100
[tex]d = 10[/tex]
Hence, the distance is 10
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Work out the perimiter of a semi circle with radius of 3
Give your answer in term of pi
Answer:
15.425 cm is it without terms of pie
Step-by-step explanation:
you need to put it into terms of pie
Answer:
3pi + 6 units.
Step-by-step explanation:
The perimeter = the diameter + curved part.
Radius = 3 so the diameter = 2*3 = 6.
Length of the curved part = 1/2 * circumference of the circle = 1/2 * pi * diameter.
Perimeter = 6 + 1/2 pi * 6
= 3pi + 6 units.
each person gets 1/5 of a cake at a birthday party there are 3 cakes total how many people will eat cake
Answer:
15
Step-by-step explanation:
There are 15/5 in 3 cakes, since 1 cake has 5/5, so 3 is 15/5. if everybody gets one fifth, 15 people get the cake
Answer:
A total of 15 people will eat cake
Plz help will give brainliest
Answer: C because if it says less than that means after
Based on the data set shown, which of the following is a true statement?
-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
mean = mode
mean < median
mode < median
Answer:
mean = mode
Step-by-step explanation:
To make this easier, let's find the mean, median, and mode.
Mean: Sum of a set of numbers divided by number of terms
Median: Middle number of data when data is in numerical order
Mode: Number that occurs most often in data
To find the mean, add all the values together. -1 - 1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11. Now, divide by the number of terms, which is 11. 11/11 = 1. The mean is 1.
To find the median, look at the number in the middle of the data. -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. The median is 1.
To find the mode, look at the number that occurs most often. There are 4 1's, so the mode is 1.
Since all numbers are equal, the only possible answer is the first option.
The mean, median, and mode are all equal; thus, a.) mean = mode is true.
Sum of all values: (-1) + (-1) + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11
Number of values: 11
Mean = Total sum / Number of values = 11 / 11 = 1
Arrange the values in ascending order: -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
The middle value (6th value) is 1
Median = 1
The value that appears most frequently is 1 (occurs 4 times)
Mode = 1
Comparing these values:
Mean = 1
Median = 1
Mode = 1
Which of the following theorems verifies that DEF - XZY?
Answer:
AA
Step-by-step explanation:
The question is about the congruency of two triangles DEF and XZY. A Congruence Theorem (SSS, SAS, ASA, or AAS) would demonstrate their congruence, but without specific measurements, we can't identify which theorem applies.
Explanation:The subject area of this question is Geometry, more specifically, the concepts concerning triangles. The given notation, DEF - XZY, suggests that the student wants to establish the congruency between the two triangles DEF and XZY.
Based on the information provided, the student is likely referring to a Congruence Theorem, which is one of the primary methods to determine if two given triangles are congruent. The main Congruence Theorems are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).
Without any additional specification, it's impossible to definitively say which theorem supports DEF - XZY. The student would need to provide specific measurements related to the triangles DEF and XZY, such as the lengths of the sides or the measures of the angles, to determine which Congruence Theorem applies.
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Find the length of HD
if entering your answer as a decimal, round your final answer to the nearest hundredth.
HD = units
Answer:
11 units
Step-by-step explanation:
HPO and DPI are similar triangles
HP/DP = PO/PI
HP/9 = 6/27
HP = 9×6/27
HP = 2
HD = HP + PD
HD = 2 + 9 = 11
Answer:
11 units
Step-by-step explanation:
Which of the following is an example of a raw goods producer?
Answer:
c prt i suppose
Step-by-step explanation:
Answer:
A Lumber company
Step-by-step explanation:
What is the area of this title?
Is it in. or in2
Answer:
A = 12 in^2
Step-by-step explanation:
The formula for area is
A = l*w
A = 2in * 6 in
A = 12 in^2
The product of 2 and the sqrt of 3 and 3 and the sqrt of 12 in simplified form is _______? (your supposed to answer the stupid question yourself. your meant to simplify 2 and the sqrt of 3 and 3 and the sqrt of 12 to get your answer so don't report it for being incomplete)
Answer:
[tex](2 \sqrt{3} )(3 \sqrt{12}) = 6 \sqrt{36} = 6(6) = 36[/tex]
Simon is considering buying a home priced at $104,000. If the current market
is a seller's market, which of the following is most likely not the price Simon
will end up paying for the house?
A. 106,000
B. 109,000
C. 107,000
D. 103,000
Answer:
The answer is actually 103,000
Answer:103,000
Step-by-step explanation:
Which expression can be used to find the surface area of the following rectangular prism?
Answer:
Option B
Step-by-step explanation:
In Ben's state, the weekly unemployment compensation is 55% of the 26-week average for
the two highest-salaried quarters. A quarter is three consecutive months. For July, August,
and September, Ben earned a total of $22,400. In October, November, and December, he
earned a total of $22,800. Determine Ben's weekly unemployment compensation.
Ben's weekly unemployment compensation is $956.15
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.
Now it is given that,
Weekly unemployment compensation = 55%
Ben earned a total in July, August, and September = $22,400
And in October, November, and December = $22,800
Therefore, his total compensation for the six month period = $22,400 + $22,800 = $45,200
his average weekly salary = $45,200 / 26 weeks = $1,738.46
Ben's unemployment compensation = $1,738.46 x 55% = $956.15
Hence,Ben's weekly unemployment compensation is $956.15
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To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%.
Therefore, Ben's weekly unemployment compensation is $4,106.67.
Explanation:To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%. First, let's calculate the average for each quarter:
Next, let's determine the two highest averages:
The highest average: $7,600The second highest average: $7,466.67Now, we can calculate the weekly unemployment compensation:
The highest average * 55% = $7,600 * 0.55 = $4,180
The second highest average * 55% = $7,466.67 * 0.55 = $4,106.67
Therefore, Ben's weekly unemployment compensation is $4,106.67.
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Select the correct answer.
Which relation does not represent a function?
A. {(3, 0), (0, 3)}
B. {(6, -2), (5, -2)}
C. {(3, 4), (3, 5)}
D. {(5, 5), (-5, -5)}
E. {(1, -2), (-2, 1)}
Relation C: {(3,4), (3,5)} does not represent a function because it has the same first component with different outputs.
Explanation:In Mathematics, a relation is defined as a set of ordered pairs. A relation is considered as a function if for each input (x value), there is exactly one output (y value). In other words, no two distinct ordered pairs in the function have the same first component. Looking at the options given:
A. {(3, 0), (0, 3)}B. {(6, -2), (5, -2)}C. {(3, 4), (3, 5)}D. {(5, 5), (-5, -5)}E. {(1, -2), (-2, 1)}The relation C. {(3,4), (3,5)} does not represent a function because there are two distinct ordered pairs with the same first component (or x-value) which is 3, but with two different y-values which are 4 and 5. Therefore, this relation violates the definition of a function.
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Final answer:
The relation that does not represent a function is Option C: {(3, 4), (3, 5)} because the number 3 in the domain is paired with two different values in the range, contradicting the definition of a function.
Explanation:
The relation that does not represent a function is Option C: {(3, 4), (3, 5)}. This is because a function is defined as a set of ordered pairs where each element of the domain (the first value in each pair) must correspond to exactly one element in the range (the second value in each pair). Option C depicts the number 3 in the domain being paired with both 4 and 5 in the range, which violates this rule. Therefore, Option C does not satisfy the definition of a function.
Option A, B, D, and E each show that every element of the domain is matched with only one unique value in the range, indicating they are all functions.
Plot the image of point B under a dilation about point P
with a scale factor of
Please find the attached file.
We have been given am image of point B on coordinate plane. We are asked to plot the mage of point B under a dilation about point P with a scale factor of [tex]\frac{1}{2}[/tex].
To solve our given problem, we need to find vertical distance and horizontal distance between point B and point P.
We can see that vertical distance is 4 units as shown in the attachment and horizontal distance is 6 units.
Since the scale of dilation is [tex]\frac{1}{2}[/tex], so the vertical distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 4 that is [tex]\frac{1}{2}(4)=2[/tex].
The horizontal distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 6 that is [tex]\frac{1}{2}(6)=3[/tex].
Now we will count 3 units to left of point P and 2 units upwards. That will be the position of point B'.
The below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.
To plot the image of point B under a dilation about point P with a scale factor of 1/2, follow these steps:
Draw point P on the coordinate plane at any location.From point P, move vertically 6 units up and label the new point as B.From point P, move horizontally 4 units to the left and label the new point as B'.The point where this line intersects the vertical line through point C will be the image of point B under the dilation with a scale factor of 1/2.
Thus, the image of point B will be half as far away from point P as point B.
Hence, the below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.
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maths - simultaneous equations
Answer:
knife = £5.52
Step-by-step explanation:
The 2 equations are
k = 3s → (1)
9s + 12k = 82.8 → (2)
Substitute k = 3s into (2)
9s + 12(3s) = 82.8
9s + 36s = 82.8
45s = 82.8 ( divide both sides by 45 )
s = 1.84
Substitute s = 1.84 into (1)
k = 3 × 1.84 = 5.52
The cost of 1 knife is £5.52
Emery bought 3 cans of beans that had a total weight of 2.4 pounds. If each can of beans weighed the same amount, which model correctly illustrates the relationship? Check all that apply
Answer:
Figure 2 and 3
Step-by-step explanation:
This question is incomplete, please find the figures in the attachment.
Number of cans of beans bought by Emery = 3
Total weight of cans = 2.4 pounds
weight of each can = [tex]\frac{2.4}{3}[/tex] = 0.8 pounds
If x be the number of cans and y represents the total weight then the model for this situation will be
y = 0.8x
Figure 1 :
From this graph weight of each can = [tex]\frac{20}{16}=1.25[/tex] pounds
so this graph is not the correct choice.
Figure 2:
From this graph weight of each can = [tex]\frac{8}{10}[/tex] = 0.8 pounds
So this graph is the correct choice.
Figure 3 :
From the given table, weight of each can = [tex]\frac{4}{5}=0.8[/tex] pounds
So the table shows the relationship.
Figure 4 :
From the given table, weight of each can = [tex]\frac{5}{4}[/tex] = 1.25 pounds
so this table is not the correct choice.
Therefore, figure 2 and 3 is illustrate the relationship.
Answer:
if you do not want to read the thing above me the answer is 2 and 3
Step-by-step explanation:
What number completes the sequence below? Enter your answer in the input
box at the bottom
35 ——- 7
50 ——- 10
65—— 13
80—— ?
Answer:
The answer is 5
Step-by-step explanation:
if you see, the start of table starts at 35 and then goes goes to 7
Answer:
Step-by-step explanation:
It’s 16
A bag contains 140 marbles, some white some blue. The ratio of white marbles to blue ones is 5:2. How many blue marbles are there?
Answer:
40
Step-by-step explanation:
5 + 2 = 7
140 div by 7 = 20
2 times 20 = 40
If 2/x+ 3/y =13 and 5/x- 4/y = -2, then x+y equals (a) 1/6 (b) -1/6 (c) 5/6 (d) -5/6
Answer:
c
Step-by-step explanation:
Let 1/x = a &
1/y = b
So, now the equation:
2a +3b = 13 --------------------(i)
5a - 4b = -2 --------------------(ii)
To eliminate a, Multiply equation (i) by 5 and multiply (ii) by (-2)
(i)*5 10a + 15b = 65
(ii)*(-2) - 10a + 8b = 4 ( Now add, a will be eliminated}
23b = 69
b= 69/23
b = 3
Plug in the value of b in equation (i)
2a + 3*3 = 13
2a + 9 = 13
2a = 13 - 9
2a = 4
a= 4/2
a = 2
Now a = 1/x ------>x = 1/a = 1/2
b = 1/y ----------->y = 1/b = 1/3
[tex]x+y=\frac{1}{2}+\frac{1}{3}\\\\=\frac{1*3}{2*3}+\frac{1*2}{3*2}\\\\=\frac{3}{6}+\frac{2}{6}\\\\=\frac{5}{6}[/tex]
Which table represents a function?
Answer:
first one
Step-by-step explanation:
same x value can't have more than one y value
Please help me with this :(
Answer:
One less than 25, 24, times five is 120, and that is 4 times as much as 30 so you already know it is wrong.
Step-by-step explanation:
If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
68
86 42
Answer:
4, -8
Step-by-step explanation:
Plz plzplzplzplz help me plz
Answer:
ok
Step-by-step explanation:
Find the area of the shaded regions:
Answer:
41 Degrees
Step-by-step explanation:
So basically you add the 72 and the other 72 to get 148.You obviously know the angle in between 72 and 72 is a right angle or 90 degrees.Then you add 148 and 90 to get 238.Then 360 - 238 is 122.Now you know all the angles.So we have to ask ourselves what is 148/360 simplified.It is 37/90.Now that we know that and we know that the radius is 10.We have to find the regular area which is 10 times 10 which is 100.Finally we need to figure out what part of 100 is 37/90 and it is 41.111111111111.Rounded it is 41.
Consider the system of equations, x - 2y = 8 and -2x+4y=-16.
What is x - 2y = 8 in slope-intercept form?
What is -2x + 4y = –16 in slope-intercept form?
How many solutions will there be?
What will the graph of the system look like?
Answer:
Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.
What is x – 2y = 8 in slope-intercept form?
y=(1/2)x - 4
What is –2x + 4y = –16 in slope-intercept form?
y=(1/2)x - 4
How many solutions will there be?
infinitely many solutions
What will the graph of the system look like?
the lines are exactly the same
(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)
Slope intercept form of the equation
[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]
Slope intercept form of the equation
[tex]-2x+4y=-16 \\y=\frac{1}{2}x-4[/tex]
Solution is infinite
Graph of the system are the lines that lies one above the other.
Given :
System of equations
[tex]x - 2y = 8 \\ -2x+4y=-16[/tex]
slope intercept form of the equation is y=mx+b
Lets solve each equation for y
[tex]x - 2y = 8 \\-2y=-x+8\\y=\frac{1}{2}x-4[/tex]
Slope intercept form of the equation
[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]
Lets solve the second equation for y
Slope intercept form of the equation
[tex]-2x+4y=-16\\4y=2x-16\\y=\frac{1}{2}x-4[/tex]
The slope intercept form of both the equations are same
So there are infinite solutions for the given system of equations.
When the solution is infinite then the graph of equation are the lines that lies one above the other .
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