Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c = child bike
a = adult bike
Child bike requirement:
4 hours build time
4 hours test time
Adult bike requirement:
6 hours build time
4 hours test time
Available Building time per week ≤ 120 hours
Available Testing time per week ≤ 100 hours
Therefore, company's work schedule is;
Building:
4c + 6a ≤ 120
Testing:
4c + 4a ≤ 100
Combined:
4c + 6a ≤ 120 and 4c + 4a ≤ 100
Building 20 Child bike and 6 adult bike in a week:
4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100
80 + 36 ≤ 120 - - - - 80 + 24 > 100
Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
A project cost at $160 and add 20% VAT, How much does it change the job?
Answer: 192
Step-by-step explanation:
160 + (20% × 160) =
160 + 20% × 160 =
(1 + 20%) × 160 =
(100% + 20%) × 160 =
120% × 160 =
120 ÷ 100 × 160 =
120 × 160 ÷ 100 =
19,200 ÷ 100 =
Welcomeeee
Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720
Answer:
Step-by-step explanation:
10x^3y^2
10(-2)^3 * (-3)^2 = -720
Answer: Negative 720
Step-by-step explanation:
-2 * -2 * -2 = -8
10 * -8 = -80
-3 * -3 = 9
-80 * 9 = -720
ill mark u brainliest please help me!
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.
Answer: The answer is C
Step-by-step explanation:
The way it is written is very important
it goes
AB is to DE
BC is to EF
AC is to DF
The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.
Which expression represents the width of the rectangle?
1. x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).
2. x2+10 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2+10)−20).
3. x2−30 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2−30)+20).
4. x2+30 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2+30)−20).
Answer:
[tex]1. x^2-10[/tex] because the area expression can be rewritten as [tex](x^2-10)(x^2+10)[/tex]which equals [tex](x^2-10)((x^2-10)+20).[/tex]
Step-by-step explanation:
Area of the rectangle [tex]=(x^4-100)[/tex]
[tex]x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)[/tex]
Since the length of a rectangle is 20 units more than its width.
[tex]Width: x^2-10\\Length=x^2+10=x^2-10+20[/tex]
The correct option is therefore 1.
Answer:
x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).Step-by-step explanation:
The area of the rectangle is [tex]x^{4} -100[/tex], which can be factored as [tex](x^{2} +10)(x^{2} -10)[/tex], because it's the difference of two perfect squares.
But, we know that [tex]l=20+w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
Additionally, [tex]l=x^{2} -10+20[/tex] and [tex]w=x^{2} -10[/tex], which means [tex]l=x^{2} +10[/tex].
Therefore, the right answer is A.
pls help me fast as u can
pls
Answer:
M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1
I.Convert the following into minutes
a)2 hours 12 minutes 72
b)7 hours 45 minutes 465
II.Convert the following into seconds.
a)1 hour 4 minutes 26 seconds 3866
b)2 minutes 43 seconds 163
III.
a) 246 minutes= 4 hours 6 minutes
b) 117 seconds= 1 minutes 57 seconds
Step-by-step explanation:
if its wrong sorry i tried mmy best
could you guys help with this? thank you ;-;;
Answer:
144degrees
Step-by-step explanation:
In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.
Hope it helps
1/2 belongs to what family of real numbers
Answer:
1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.
Answer:
rational numbers and real numbers
Step-by-step explanation:
Rational numbers is part of the real numbers family and so therefore it is also a real number.
The slope-intercept form of the equation of a line that passes through the point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?
y – 13 = 5(x – 2)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)
Answer:
y+13 = 5(x+2)
Step-by-step explanation:
y = 5x – 3
This is in slope intercept form y = mx+b so the slope is m which is 5
We have a slope and a point ( -2, -13)
Point slope form is
(y-y1) = m(x-x1)
y - -13 = 5(x--2)
y+13 = 5(x+2)
Answer:
He is right
Step-by-step explanation:
I just took the quiz on edu
A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume
Answer:
72 cm³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Let's substitute the given values into this formula:
V = lwh
V = (4)(6)(3)
Solve:
V = (4)(6)(3)
V = (24)(3)
V = 72
Therefore, the volume is 72 cubic centimeters.
Answer:
The answer is 72 cm3
Step-by-step explanation:
4 times 6 times 3
24 times 3
72
;))))))
How many solutions does the equation - 4x + 6 = 6x - 2 have?
Answer:
There is one solution
Step-by-step explanation:
4x + 6 = 6x - 2
Subtract 4x from each side
4x-4x + 6 = 6x-4x - 2
6 = 2x-2
Add 2
6+2 = 2x
8 = 2x
Divide by 2
8/2 = 2x/2
4=x
if one score of 39 is changed to 40, how will the histogram change?
Answer: Histogram of 30-40 becomes slightly low and histogram of 40-50 becomes slightly high.
Step-by-step explanation:
Since we have given that
C.I. Frequency
10-20 1
20-30 4
30-40 15
40-50 14
If one score of 39 changed to 40.
Then it comes under class interval of 40-50
so, frequency under 30-40 becomes 14.
frequency under 40-50 becomes 15.
So, Histogram of 30-40 becomes slightly low and histogram of 40-50 becomes slightly high.
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed the points lol
Write a polynomial function of least degree with zeros 1, -2, -3
Answer:
f(x) = (x - 1)(x + 2)(x + 3)
Step-by-step explanation:
The function would be f(x) = (x - 1)(x + 2)(x + 3). This is of the third degree.
Bus leaves 9:30a.m.The journey takes 26h 20 min. What time will they arrive
Answer:
They will arrive at 11:50 am the next day
Step-by-step explanation: 24 hours is a day so add 2 hours and 20 minutes
Answer:
11:50 a.m.
Step-by-step explanation:
A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
dimensions of her drawing are 7 inches long by 3 inches wide. Her partner plans
to make another scale drawing of the lawn, but with a scale factor of 1:2.
What are the dimensions of her scale drawing?
5 of 16 QUESTIONS
The length is 0.6 inch and the width is 1.4 inches.
The length is 15 inches and the width is 35 inches.
The length is 35 inches and the width is 15 inches.
The length is 1.4 inches and the width is 0.6 inch
SUB
Answer:
The length is 35 inches and the width is 15 inches.
Step-by-step explanation:
First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.
Now, we have to divide this in the ratio 1:2, which gives
The length of 35 inches and the width of 15 inches.
Hope this helps
Answer:
Your answer is 3 or C.. 35 inches and width of 15 :)
Step-by-step explanation:
A student says that 5x2=20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.
Answer:
Step-by-step explanation:
I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.
Answer:
I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.
Step-by-step explanation:
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Step-by-step explanation:
XYZ is an isosceles triangle inscribed I a circle, center O. XY=XZ= 20 and YZ=18. Calculate to 3.s.f.
a) the altitude of ∆XYZ
b) the diameter of the circle
Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)
Find the value of x.
Answer:
x = -7
Step-by-step explanation:
Make an equation:
3x + 33 = 12
3x = -21
x = -7
Answer:
x = -7
Step-by-step explanation:
form an equation.
14 + x + 2x + 19 = 12
like terms together;
x + 2x = 12 - 14 - 19
simplify;
3x = -21
divide both sides by 3;
x = -7
The triangles are congruent by SSS and HL. Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X. Which transformation(s) can be used to map △RST onto △VWX? reflection only translation only reflection, then translation rotation, then translation
Answer:
rotation then translation
Based on the information given regarding the triangle, the transformations that can be used to map △RST onto △VWX is D. rotation, then translation.
What is a congruent triangle?It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.
Since Triangle RST can be rotated about point S and then shifted down and to the left to form triangle VWX, the transformations that can be used to map △RST onto △VWX is rotation, then translation.
Learn more about triangles on:
https://brainly.com/question/2644832
Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?
Answer:
When Jeff travels more than 20 miles
Step-by-step explanation:
Let 'x' be the number of miles traveled by Jeff.
In order for the national car company to be less expensive, then the following condition must be met:
[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]
This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.
Solve for X
5x-5=9x+3
Answer:
x=-2
Step-by-step explanation:
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
5x-5=9x+3
9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.
5x-9x-5=9x-9x+3
5x-9x-5=3
-4x-5=3
5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.
-4x-5+5=3+5
-4x= 3+5
-4x=8
x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.
-4x/-4=8/-4
x=8/-4
x= -2
Simplify the expression 3x(2x2).
O A.
5x²
OB.
m
5
OC.
m
OD.
6x6
Answer:
6 x^3
Step-by-step explanation:
3x(2x^2).
3*2 = 6
x * x^2 = x^3
6 x^3
i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.
[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
What is the value of x in the equation - 3X+9
x+9= 3-37?
Pls help me with this question I’m trying to Anwser
Answer:Wish i could help, but I'm just as confused.
Step-by-step explanation:
Please help! Correct answer only!
You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 10. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is odd, you win $25. If the number the ball lands on is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$12.5
Step-by-step explanation:
Since there is a 50% chance of landing on an odd number, the expected payoff is 0.5*25=12.5. Hope this helps!
If f ( x ) f ( x ) is a linear function, f ( − 5 ) = 0 f ( - 5 ) = 0 , and f ( 2 ) = 4 f ( 2 ) = 4 , find an equation for f ( x ) f ( x )
f(x)=________
================================================
Explanation:
We have
f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
----------
Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
----------
Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
This linear equation has a slope of 4/7 and a y intercept of 20/7.
The equation for f ( x ) would be; f(x) = (4/7)x + 20/7
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
We are given f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
The linear equation has a slope of 4/7 and a y intercept of 20/7.
Learn more about slope here:
https://brainly.com/question/2503591
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What’s the cosine of U?
Step-by-step explanation:
The cosine of U is equal to the adjacent side divided by the hypotenuse.
cos(U) = 28/53
You can simplify it from there.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
$15.70
Step-by-step explanation:
The total Cost is 101.40
The tax is 7.20 Subtract the tax
=====================
The cost of 6 CDs=94.20
1 CD costs 94.2 / 6
1 CD costs 15.70
solve the equation
7h-5(3h-8) = 72
Answer:
h = -4
Step-by-step explanation:
7h-5(3h-8) = 72
Distribute
7h - 15h +40 = 72
Combine like terms
-8h +40 = 72
Subtract 40 from each side
-8h+40-40 = 72-40
-8h = 32
Divide each side by -8
-8h/-8 = -32/-8
h = -4
Steps:
Step 1: Simplify both sides of the equation.
7h−5(3h−8)=72
7h+(−5)(3h)+(−5)(−8)=72(Distribute)
7h+−15h+40=72
(7h+−15h)+(40)=72(Combine Like Terms)
−8h+40=72 −8h+40=72
Step 2: Subtract 40 from both sides.
−8h+40−40=72−40
−8h=32
Step 3: Divide both sides by -8
Answer: h=−4
The answer for this question is h=-4
Please mark me brainliest
Hope this helps.
