asanjis printing inc. has two types of printing presses: model a and model b. model a can print 80 books per day and model b can print 60 books per day. altogether asanji has 18 printing presses. if he can print 1260 books in a day, then how many of each press does he have
Answers
Answer:
model a: 9 presses
model b: 9 presses
Step-by-step explanation:
let x=model a and y=model b.
If asanji has 28 printing presses, we can say that x+y=18.
If he can print 1260 books in a day, we can say that 80x+60y=1260.
Now, We can solve the system of equation by solving an equation in terms of any variable. You can choose any variable. I chose x. x+y=18, So if we subract y from each side, we get x=18-y. Now, we can substitute that in the other equation. Thus, 80(18-y) +60y=1260. If we continue to solve for y, 1440-80y+60y=1260, 1440-20y=1260, subtract 1440 from each side, which gives you -20y=-180, and divide - 20 and you get y=9. Now, substitute the 9 in the x+y=18 to find x. Thus, x+9=18, and x=9. So, Asanji has 9 press of Model A and 9 presses of Model B.
Related Questions
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answers
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
Round 0.8 to the nearest thousandth
Answers
Answer:
it is still 0.80
Step-by-step explanation:
you don't need to round, just add a zero
15. The solutions to (x+4)2 - 2 = 7 are
1) -4+ 5
3) -1 and -7
2) 4+ 5
4) 1 and 7
I
Answers
Answer:
Step-by-step explanation:
(x + 4)^2 - 2 = 7 simplifies to
(x + 4)^2 = 5
We must isolate x. To do this, take the square root of both sides, obtaining:
x + 4 = ±√5
There are two roots/solutions. They are:
x = -4 + √5 and x = -4 - √5
You must include the square root operator (√). Use " ^ " to denote exponentiation.
The solutions to the given equation (x + 4)² - 2 = 7 when calculated are; 1 and 7
How to Solve Algebra Problems?We are given the equation as;
(x + 4)² - 2 = 7
Add 2 to both sides to get;
(x + 4)² = 9
Find the square root of both sides to get;
x + 4 = ±3
Thus;
x = 3 + 4 and x = -3 + 4
x = 1 and 7
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Need help ASAP look at pictures for information
Answers
Answer:
Hope this solution helps you
A sport jacket that cost the retailer$25 is marked up$10. Write as a fraction the mark up compared to the cost
Answers
Answer:
2/5
Step-by-step explanation:
markup / cost = 10 /25 = 2/5
write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form
Answers
The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
How to determine the equation of the second line?The first equation is given as
y = 8x - 4
The slope of the above equation is
m = 8
Parallel lines have equal slope
So, the slope of the other line is
m = 8
The equation is then calculated as
y = m(x - x1) + y1
Where
m = 8
(x1, y1) = (-7, -4)
So, we have
y = 8(x + 7) - 4
Expand
y = 8x + 56 - 4
Evaluate the difference
y = 8x + 52
Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
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WRITE AN EQUATION
Last Friday Cicely had $22.50. Over the weekend she received some money for
cleaning out the attic. She now has $32. Which equation represents how much
money she received?
Answers
Answer: $32= $22.50 + x or 22.50 +x=32
Step-by-step explanation:
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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The shaded area on the grid represents the part of a rectangular wall that was painted. Each
small square on the wall has the same dimensions.
What percentage of the wall was painted?
Answers
Answer:
60% of the wall is painted.
Step-by-step explanation:
From the picture attached,
There are total 40 squares. Out of 40 squares 16 squares are clear (not painted).
Hence painted squares on the wall = 40 - 16
= 24
Formula to calculate the percentage of painted squares is
= \(\frac{\text{Painted squares}}{\text{Total squares}}\times 100\) = \(\frac{24}{40}\times 100\)
= 60%
Therefore, 60% of the wall is painted.
Answer:
60%
Step-by-step explanation:
A pair of women's shoes cost $115 in 2004 and the same shoes cost $140 in 2009 due to inflation. a. develop an exponential model to describe the rate of inflation over this time period. b. If inflation continues at the same rate, use your model in part (a) to estimate the price of the shoes in 2015. y = 115 ( _____) ^x [round to four decimal places as needed]
Answers
The rate of inflation can be modeled by the following equation:
\(y\text{ = 115}\times(A)^x^{}\)We have to find A to solve letter a). The exercise gives the information that in 5 years (2004-2009) the price went to $140 (this is the 'y' value of the formula). Therefore:
\(140\text{ = 115}\times A^5\)\(A\text{ = }\sqrt[5]{\frac{140}{115}}=1.0401\)So the exponential model is going to be:
\(y\text{ = 115}\times(1.0401)^x\)To solve letter b, we have now 11 years (2004-2015) and the objective is to find the 'y' value:
\(y\text{ = 115}\times(1.0401)^{11}=177.22\text{ dollars}\)So the answers will be:
\(a)\text{ y = 115}\times(1.0401)^x\)\(b)\text{ \$177}.22\)In which quadrants is sine positive?
O A. I and IV
B. I and III
C. II and IV
D. I and II
Answers
Answer:
D. I and II
Step-by-step explanation:
In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
The solution is, sine is positive in, D. I and II. Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles.
here, we have,
We are given to select the correct answer from the options provided.
The rule of signs for the trigonometric ratios in the four quadrants are as follows :
Quadrant I : All the three ratios, tangent, sine and cosine are positive.
Quadrant II : Only sine is positive, cosine and tangent are negative.
Quadrant III : Only tangent is positive, sine and cosine are negative.
Quadrant IV : Only cosine is positive, sine and tangent are negative.
so, we get,
In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
Therefore, using the above rules, we can say that the options (B), (C) and (A) are incorrect.
so, we have,
Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
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PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
Answers
40.3=120g flour➡️15 biscuits
60 biscuits = 16.4➡️120.4 = 480g flour
She needs 480g flour to make 60 biscuits
M is the midpoint
of CD. A iş a point
not on CD. If AMC = 2x + 1" and AMD = 5x – 13, find the value of x.
Answers
The value of x given that M is the midpoint of CD is 14/3
How to determine the value of x?The given parameters are:
AMC = 2x + 1
AMD = 5x – 13
From the question, we understand that:
M is the midpoint of CD
This means that:
The segments are congruent
i.e. AMC = AMD
Substitute the known values in the above equation
So, we have
2x + 1 = 5x - 13
Collect the like terms in the above equation
So, we have
5x - 2x = 13 + 1
Evaluate the like terms in the above equation
So, we have
3x = 14
Divide both sides of the equation by 3
So, we have
x = 14/3
Hence, the value of x given that M is the midpoint of CD is 14/3
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find the volume of the figure
Answers
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
I NEED HELP QUICK!!!!
Answers
\( \frac{1}{ {3}^{3} } \)
I’m confused as to how to do this
Answers
answer:
you can research their distances online for suggestions
step-by-step explanation:
i don't really have anything else i can help you with, but let me know if your teacher provided you with any resources to help you with thisif i find anything out, i will edit my answer to put the right answerIzzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500
miles per minute to travel to the moon? Round to the nearest hour
8 hours
20 hours
478 hours
28,680 hours
Answers
Answer:
478 hours
Step-by-step explanation:
You would divide 239,000 by 500.
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
answer this question in 5 minutes and ill give you the brainlyest and 50 points also please still answer even after the 5 minutes
Answers
The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.
Greatest common factorThis is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.
Gary's work:
66 + 36
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36
= 3 (22 + 12)
Gary did not use the greatest common factor in the equation.
The correct answer:
The greatest common factor of 66 and 36 is 666 + 36
= 6(11 + 6)
Therefore, Gary did not use the greatest common factor in the equation.
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URGENTLY!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 32.= m2 :62;24
Step-by-step explanation: that is the answer to this quitoon
Muna is making a scale drawing of a gecko. The gecko is 1:2 inch wide and 5 inches long. she decides to make her drawing of the gecko 1 inch wide. How long will the drawing be ? show your work
Answers
Answer:
L= 0.83 in
Step-by-step explanation:
Width= 1.2 in when length = 1 in
Required
Determine the length when width = 1 in
First, we need to determine the ratio
Ratio = \(\frac{Width}{Length}\)
Ratio = \(\frac{1.2}{1}\)
Ratio = 1.2 ---(1)
Let the required length be represented with L
So:
Ratio = \(\frac{Width}{Length}\)
Ratio = \(\frac{1}{L}\) ---(2)
Equate (1) and (2)
\(\frac{1}{L}\) = 1.2
Multiply through by 1.2
L * \(\frac{1}{L}\) = 1.2 * L
1 = 1.2 * L
Divide through by 1.2
L = \(\frac{1}{1.2}\)
L = 0.83 in (Approximated)
What is expression is equivalent to 210,704? Is it 20,000+10,000+700+4. 200,000+10,000+700+4. Or 200,000+10,000+700+40??
Answers
Answer:
200,000+10,000+700+4
Step-by-step explanation:
On a loan of $3520.10, if the one-time simple interest was at 7.77% of the principal, how much interest was incurred?
Answers
Answer:
Step-by-step explanation:
3520.10*7.77%= $273.51
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Answers
We have that theses Can affect the price if grape indirectly
Salaries WagesEnvironmentPeopleFrom the question we are told
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Independent variablesGenerally Independent variables are variables that are not dependent on the price of grape fruits directly
Therefore
We have that
Salaries WagesEnvironmentPeople Can affect the price if grape indirectly
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Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
A.
19
B.
29
C.
30
D.
31
Answers
Answer:
D. 31
Step-by-step explanation:
The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...
∛(1331 m³) = 11 m
For the box that is 729 m³, the height is ...
∛(729 m³) = 9 m
Then the total height of the stack of boxes is ...
11 m + 11 m + 9 m = 31 m
Answer:
31
Step-by-step explanation:
I took the test on Edmentum, have a good day hope it helps :)
The graph of linear function, f
f
passes through the point (1, −9) and has a slope of -3. What is the zero of f
f
?
Answers
Answer:
6
Step-by-step explanation:
You divide equally or round up ormultiplacation
A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
Answers
If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.
What is meant by cubic decimeter?1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.
1 cubic meter = 1000 liters
because, 1 liter = 1 decimeter³
1 meter = 10 decimeters
1 decimeter= 0.1 meters
1 liter = 0.1³ meter³
1 m³ = 1000 liters
Given:
In 1 hour the amount of water filled = 500 cubic meters
In half an hour the amount of water filled = 250 cubic meters
= 250,000 liters.
Therefore, 250,000 liters of water exists filled in the pool in half an hour.
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please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
Answers
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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PLZ HELP !!!!! The graph represents the transformation called a ____. Rotation Translation Reflection
Answers
The graph represents a rotation transformation
Evaluate each exponential function.
f(x) = 22,000(1 - 0.23)*
where, x = 6
Answers
Answer:
\(f(6) = 4585.29\)
Step-by-step explanation:
Given
\(f(x) = 22000(1 - 0.23)^x\)
\(x= 6\)
Required
Evaluate
Substitute 6 for x in f(x)
\(f(x) = 22000(1 - 0.23)^x\)
\(f(6) = 22000(1 - 0.23)^6\)
\(f(6) = 22000(0.77)^6\)
Remove bracket
\(f(6) = 22000*0.77^6\)
\(f(6) = 22000*0.20842238008\)
\(f(6) = 4585.29236176\)
\(f(6) = 4585.29\) --- approximated
There are 3 boxes of coins. There are 4 times as many coins in Box A as in Box B. There are 180 fewer coins in Box C than Box A. The number 2 of coins in Box B is of the total number of coins in the three boxes. 13 What is the total number of coins in the three boxes?
Answers
Answer:
Step-by-step explanation:
The answer b