The number of black-and-white is 60 and the number of color copies is 8.
How to calculate the value?Let b = the number of black-and-white.
Let c = the number of color copies.
The equation will be:
b + c = 68
0.08b + 0.15c = 6
Multiply equation I by 0.08
Multiply equation ii by 1.
0.08c + 0.08c = 5.44
0.08b + 0.15c = 6
Subtract
0.07c = 0.56
c = 0.56/0.07
c = 8
Since b + c =68
b= 68 - 8 = 60
Therefore, the number of black-and-white is 60 and the number of color copies is 8.
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Determine by composition whether f(x) = 3x + 18 and g(x)=x-6 are inverses of each other.
O No, f(g(x)) + X
O No, f(g(x)) = x
O Yes, f(g(x)) = g(f(x)) = x
O Yes, f(g(x)) = g(f(x)) * x
Thus, (x) = 3x + 18 and g(x)=x-6 are not inverses of each other.
Two function are inverse if they do undo or cancel each other, which means
f and g are inverse if
f(g(x)) = x and g(f(x)) = x
Here, f(x) = 3x + 18 and g(x)=x-6
Lets check by substituting the values in the formula
⇒ f(g(x))
⇒ f(x-6)
⇒ (3x + 18) - 6
⇒ 3x - 12
⇒ x = 4
g(f(x))
⇒ g(3x + 18)
⇒ 3(x-6) + 18
⇒ 3x - 18 + 18
⇒ 3x
⇒ x = 1/3
What is composition maths?A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.
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Stop light A changes color every 45 seconds and Stop light B changes color every 80 seconds. Both Stop lights just changed. After how many seconds will the stoplights change color at the same time?
The stoplights will change color after 720 seconds. at the same time again.
Given: Stoplights A and B alternate between changing colors every 45 and 80 seconds, respectively.
One copy of each of the unique components and the common factor make up the Least Common Multiple (LCM).
The least common multiple of 45 and 80 is the amount of seconds before they change color simultaneously once more.
Since 80 = 5 x 2 x 2 x 2 and 45 = 5 x 3 x 3 respectively
A least common multiple of 45 and 80 is equal to 2x2x2x2x3x3x5 = 720.
Hence, the color of the spotlight will change after 720 seconds. at the same time again.
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Show work of how $7.40 for 5 pounds
Answer:
the answer is $35.40 sir there you go
Step-by-step explanation:
that's the answer which is located above
Answer:
1.48 each
Step-by-step explanation:
you have to divide 7.40/5
1/2 ( 2p + 9 ) = p + 5 solve equation
that is impossible to solve because both sides do not equal eachother
What time does the shipment arrive in Dallas (GMT -6) , if it departs Edmonton (GMT -7) at 14:45 p.m. on Thursday? United Airlines has a 3 hour 45 minutes flight.
At 17:30 the shipment arrive in Dallas (GMT -6) , if it departs Edmonton (GMT -7) at 14:45 p.m. on Thursday.
The time difference of two zone is -7-(-6) = -1
The shipment departs at 14:45 pm
flight took time = 3:45 min
adding the time = 14:45 + 3:45
= 18:30
So it arrived at Dallas at 18:30 according to Edmonton (GMT -7)
It arrived in Dallas according to Dallas (GMT -6) = 18:30 - 1 hour
= 17:30
What is time zone?
A time zone is a region where everyone adheres to the same standard time for social, business, and legal activities. Because it is simpler for regions that communicate often to maintain the same time, time zones frequently follow national borders and their subdivisions rather than strictly following longitude.
Coordinated Universal Time (UTC), which ranges from UTC12:00 to UTC+14:00, is used to determine all time zones. Most zones have full hour offsets, but some, like those in India, South Australia, and Nepal, have additional offsets of 30 or 45 minutes.
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How can I solve this?
Step-by-step explanation:
by using formula a²-b²=a+b
a²b=a²-b² like this
Order these decimals from least to greatest.
A) 12.205
B) 12.2
C) 12.25
PLEASEEE BE ACCURATE! FIRST PERSON WHO RESPONDS CORRECTLY GETS BRAINLIST!!
The sum of 23/6 and five times a number is equal to 13/6 subtracted from six times the number. find the number
The missing number in the equation is 6.
Given,
The sum of 23/6 and five times a number = 13/6 subtracted from six times the number.
We can take the number as x.
Now, the equation is:
23/6 + 5x = 6x - 13/6
Cross multiply both sides:
(23 + (5x × 6)) / 6 = ((6x × 6) - 13) / 6
We get,
(23 + 30x) / 6 = (36x - 13) / 6
Cancel 6 from both sides:
Then,
23 + 30x = 36x - 13
Add 13 to both sides:
23 + 13 + 30x = 36x - 13 + 13
We get,
36 + 30x = 36x
Add -30x to both sides:
36 + 30x - 30x = 36x - 30x
Then,
36 = 6x
x = 36/6 = 6.
That is, the missing number in the equation is 6.
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The function has a minimum or maximum. Looking for help with screenshot
Answer:
The function has a minimum of -1 at x = 3
The function is increasing on the interval: (3,∞)
The function is decreasing on the interval (-∞,3)
Step-by-step explanation:
Since our parabola opens upwards on the graph, the function has a minimum.
The minimum is the lowest x-value and y-value in the function.
From left to right, the function is moving downwards (decreasing) from x = -∞ to x = 3.
From left to right, the function is moving upwards (increasing) from x = 3 to x = ∞
Find the equation of the line that passes through the points
3) and (-1, 11)
Enter your answer in slope-intercept form, y=mx+b
Answer: y=-4x+7
Step-by-step explanation:
(1, 3) and (-1, 11)
m=(y2-y1)/(x2-x1) ==> Slope formula
m=(11-3)/(-1-1)
m=8/(-2)
m=-4
y=mx+b
3=-4(1)+b
3=-4+b
b=7
y=-4x+7
on july 1 2022 ivanhoe company pays 17,500 to sheridan company for a one year insurance company both companies have fiscal years ending in dec 31
Answer:
what is the question?
()()()()()()()()()()()()()()
The proof shows that ABCD is a rhombus. Which of the following is the
missing reason?
Prove: ABCD is a rhombus
Statements
1. ABCD is a parallelogram and
AD= AB.
AB a DC, AD a BC
2.
3.
AB a CD a AD a BC
4. ABCD is a rhombus.
Reasons
1. Given
PREVIOUS
2. ?
3. Transitive property
4. By definition, if all four sides of a
parallelogram are congruent, then
it is a rhombus.
QED
O A. Consecutive sides of a parallelogram are parallel.
B. Opposite sides of a parallelogram are parallel.
C. Opposite sides of a parallelogram are congruent.
O D. Consecutive sides of a parallelogram are congruent.
From the two column proof below to prove that ABCD is a rhombus, the missing reason is reason 6; C. Opposite sides of a parallelogram are congruent.
How to carry out a two column proof?Given: ABCD is a parallelogram.
The two column proof that ABCD is a rhombus is;
Statement 1; ABCD is a parallelogram. AD = AB and AC bisects ∠BCD and ∠BAD
Reason 1; Given
Statement 2; ∠BCA ≅ ∠DCA
Reason 2; Definition of an angle bisector
Statement 3; AC ≅ AC
Reason 3; Reflexive property of congruence
Statement 4; ΔABC ≅ ΔADC
Reason 4; Angle Side Angle Congruence Postulate
Statement 5; AB ≅ AD, BC ≅ DC
Reason 5; Corresponding parts of congruent triangles are equal.
Statement 6; AB ≅ CD, BC ≅ AD
Reason 6; Opposite sides of the parallelogram are congruent
Statement 7; AB ≅ AD, BC ≅ CD
Reason 7; Transitive Property of Congruence
Statement 8; ABCD is a rhombus
Reason 8: Definition of rhombus
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What number n is four times as close to 10 as it is to2?
Answer:
I think 3.
Step-by-step explanation:
3*4=12 near 10
Mel and 5 friends went to the go-kart track. Four people rented helmets for $3 each. The total cost to
rent the helmet and to ride the karts was $75. What was the cost to ride the karts for each person?
The cost of a ride for an individual person will be $10.5
It is given that Mel and 5 friends went to ride which makes the Total number of people for the Ride will be 6. Also, Four of them rented Helmets for the rides each helmet cost $3. It is also given that the total cost of helmets and rides is $75. From this we get :
Total people = 6, Helmet cost = 4*3 = $12, and Total cost = $75
Taking the cost of a ride as 'x' we get the equation representing this statement:
=> 4*3 + 6x = 75 => 6x = 63
=> x = 10.5
We get value of x = $75.
Hence, we get the cost of an individual ride $75.
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Answer **please** ill give brainliest!
Answer:
w = -0.8
sum = 0
Step-by-step explanation:
An additive inverse is when two numbers add up to 0. 0.8+ (-0.8) = 0.
Another job is advertising leaflets printed on sheets of A4 paper
The sheets are the fold into thirds as shown
What are the measurements in millimetres of each fold leaflet?
The measurement of the fold leaflet shorter dimension stays same but the longer side becomes 99 mm.
What are referred as dimension?In mathematics, dimensions are the measurements of the size or distance between an object, region, or space in one direction. In layman's terms, it refers to the measurement of something's length, width, and height.
Dimensions are commonly expressed as follows:
LengthBreadthWidthHeight or DepthA leaflet is mainly folded into thirds just on long side, so the short side remains unchanged while the long dimension has become 1/3, or 297/3 = 99 mm.
The final dimensions are
210 mm × 99 mm
Therefore, the measurement of the sorter side of the fold leaflet remains same but longer side becomes 99 mm.
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The complete question is-
Another job is advertising leaflets printed on sheets of A4 paper (210 x 297 mm).
The sheets are then folded into thirds as shown.
What are the measurements in millimetres of each folded leaflet?
( m n ) (x) for x = −3
The value of the composite function (mn)(-3) is 9
How to determine the value of the composite function?The given parameters are:
m(x) = x
n(x) = -3
The composite function is given as
(mn)(x)
The above composite function is calculated as
(mn)(x) = m(x) * n(x)
Substitute -3 for x in the above function
So, the above function becomes
(mn)(-3) = m(-3) * n(-3)
So, the above function becomes
(mn)(-3) = -3 *-3
Evaluate the product in the above equation
So, we have
(mn)(-3) = 9
Hence, the value of the composite function (mn)(-3) is 9
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Complete question
If m(x) = x and n(x) = -3, calculate ( m n ) (x) for x = −3
Find f '(a).
f(x) = [tex]\frac{1}{\sqrt{x} +5}[/tex]
Answer:
[tex]f'(a)=\frac{1}{2a^{3/2}+20a+50\sqrt{a}}[/tex]
Step-by-step explanation:
[tex]f'(x)=\frac{\frac{d}{dx} (\sqrt{x}+5)(1)-(\sqrt{x}+5)\frac{d}{dx}(1)}{(\sqrt{x}+5)^2} \\ \\ =\frac{\frac{1}{2\sqrt{x}}}{(\sqrt{x}+5)^2} \\ \\ =\frac{\frac{1}{2\sqrt{x}}}{x+10\sqrt{x}+25} \\ \\ =\frac{1}{2x^{3/2}+20x+50\sqrt{x}} \\ \\ \therefore f'(a)=\frac{1}{2a^{3/2}+20a+50\sqrt{a}}[/tex]
Jonathan invests $4100 in two different accounts. The first account paid 4 %, the second account paid 13 % in interest. At the end of the first year he had earned $299 in interest. How much was in each account?
$ _____________ at 4 %
$ _____________ at 13 %
The amount invested in the account that paid 4% interest is $2,600
The amount invested in the account that paid 13% interest is $1,500.
What are the simultaneous equations that represent the equation?a + b = 4100 equation 1
0.04a + 0.13b = 299 equation 2
Where:
a = amount invested in the account that paid 4% interest
b = amount invested in the account that paid 13% interest
How much was invested in each account ?
The first step is to multiply equation 1 by 0,04
0.04a + 0.04b = 164 equation 3
Subtract equation 3 from equation 2
0.09b = 135
b = 135 / 0.09
b = $1500
a = 4100 - 1500 = $2,600
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one fifth times w equals negative one eight what is w
If one fifth times w equals negative one eight then w = -5/8
What is Rational numbers?
A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero. In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.
given that one fifth times w equals negative one eight
we have to find the value of w
one fifth = 1/5
one fifth times w = (1/5)* w
negative one eighth = - 1/8
now according to the question
one fifth times w equals negative one eight
(1/5) *w = -1/8
now solve the equation , we get
w= (5) * (-1/8)
= -5/8
Hence ,if one fifth times w equals negative one eight then w = -5/8
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A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22 kilometers. Next it goes west for 50 kilometers. Finally, it travels south for a certain
number of kilometers. At the end of its journey it is back at its original location. How many kilometers did it travel in the southward direction?
Answer:
It traveled south for 22 kilometers.
Step-by-step explanation:
Think of it as a rectangle. Two sides are 50 kilometers (east and west), and the other two sides are 22 kilometers (north and south).
A salesperson sold a pick-up for $18,760. They were paid a 4.5% commission. How much money were they paid?
the salesperson will be paid $ 844.2 for the one pickup they sell for $ 18,760 as 4.5 % commission is theirs.
We are given that the selling price of a pick up item is given as:
Selling price = $ 18,760
Now, it is also given that, on every sale, the salesperson gain a commission of 4.5 % as their pay.
The money they get paid for one pick up that they sell will be calculated by finding the percentage. So, we get that:
Money = 4.5 % of $ 18,760
Money = 4.5 / 100 × $ 18,760
Money = 0.045 × $ 18,760
Money = $ 844.2
Therefore, we get that, the salesperson will be paid $ 844.2 for the one pickup they sell for $ 18,760 as 4.5 % commission is theirs.
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2 1/2 = 1 2/3 divided by y; what does y equal
Step-by-step explanation:
21/2=12/3
y=10.5*4
Sana nakatulong:)
Which mixed number is equivalent to the improper fraction?
41
7
O A. 6-1/
OB. 49/
O C. 59/
OD. 6
PLEASE HELP FAST
Answer:
C -
[tex]5 \frac{6}{7} [/tex]
What is the answer to this question?
Not sure if I'm right, but is
it RL- lol
if i compare 0.10__0.01 what would the answer be?
The answer will be 0. 10 > 0. 01 . Option B
How to compare the valuesGiven the values as;
0.100.01Turn the values into proper fractions
a. 0. 10 = 10/ 100
Reduce to simpler terms
= 10/ 100
= 1/ 10
b. 0. 01 = 1/ 100
a = 1/ 100
b = 1/ 100
This means that both decimals are not of equal proportion and thus a is greater than (>) b
Thus, the answer will be 0. 10 > 0. 01 . Option B
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Shinji reads 25 pages of a book every night. 1. Write an equation that represents how many pages Shinji reads (ppp) in some number of nights (nnn).
The equation that represents how many pages Shinji reads is P(n) = 25n
How to write an equation that represents how many pages Shinji reads?The given parameters are:
25 pages = 1 night
Multiply both sides by n
So, we have:
25 * n = 1 * n nights
Express as a function
25 * n = P(n)
Rewrite as
P(n) = 25n
Hence, the equation that represents how many pages Shinji reads is P(n) = 25n
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Answer:
Step-by-step explanation:
How do division properties help you evaluate expressions?
Drag a word or number to the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the Response area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the
The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.
How to explain the information?It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Fractions simply means, numbers that are not whole.
If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.
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Answer:
When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Step-by-step explanation:
I took a 2.12 math quiz in K12 and got it 100% Correct! Yes!
Read the following description of a relationship:
Each crate of ceramic tiles has 17 more hexagonal tiles than square tiles.
Let s represent the number of square tiles in a crate and h represent the number
of hexagonal tiles in the same crate.
Complete the table using the equation h = s + 17.
S
5
6
7
8
h
24
Submit
I don't know
Students were asked how they travel to
school. 37% of the students said they
travel by train.
Of these, 24% live more than seven miles
from their school. What percentage of the
students travel over seven miles to school
by train? Give your answer to 2 d.p.
the percentage of the students travel over seven miles to school by train is 9 %.
Let the total number of students be represented by variable x
now, 37 % of them travel by train.
So, we get that:
By train = 37 % of x
By train = 37 / 100 (x)
By train = 0.37 x
Now, 24 % of them lives 7 miles away from the school.
So, 7 miles away = 24 % of 0.37 x
= 24 / 100 ( 0.37 x )
= 0.24 ( 0.37 x)
= 0.09 x
In percentage:
= 9 %
Therefore, we get that, the percentage of the students travel over seven miles to school by train is 9 %.
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