Answer:
22 hours
Step-by-step explanation:
Old machine produces 36 widgets in 9 hours. The number of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{36}{9}[/tex]
= 4 widgets
New machine can produce 40 widgets in 8 hours. The umber of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{40}{5}[/tex]
= 5 widgets
Thus, let the time required by old machine be represented by s, and that of new machine by y. Working together we have;
4x + 5y = 100
(4 * 10) + (5 * 12) = 100
Thus the old machine would work for 10 hours, while the new machine would work for 12 hours to produce 100 widgets.
Working together, it would take both machines 22 hours.
Solve for x. Leave your answer in simplest radical form.
There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "
According to Pythagoras theorem,
[tex] \boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}[/tex]
note :
p = perpendicular / opposite sideb = base / adjacent sideh = hypotenuselet's solve for " y² " first ( square of other missing side )
[tex]➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2} [/tex]
[tex]➢ \: \: {y}^{2} = 64 + 9[/tex]
[tex]➢ \: \: {y}^{2} = 73[/tex]
now let's solve for " x " , by using pythagorous theorem
[tex]➢ \: \: {x}^{2} = {y}^{2} + {6}^{2} [/tex]
[tex]➢ \: \: {x}^{2} = 73 + 36[/tex]
[tex]➢ \: \:x {}^{2} = 109[/tex]
[tex]➢ \: \: x = \sqrt{109} [/tex]
Approximate :
[tex]➢ \: \: 10.44 \: \: units[/tex]
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Solve 7+7a=7(2-b) for b
Answer:
b = 1 - a
Step-by-step explanation:
Given
7 + 7a = 7(2 - b) ← divide both sides by 7
1 + a = 2 - b ( subtract 2 from both sides )
- 1 + a = - b ( multiply through by - 1 )
1 - a = b
Answer:
[tex]b = (a - 1)[/tex]
Step-by-step explanation:
Question[tex]7 + 7a = 7(2 - b)[/tex]
First Solve the brackets
[tex]7 + 7a = 7(2 - b) \\ 7 + 7a = 14 - 7b[/tex]
Then Make the b as the Subject
[tex]7 + 7a = 14 - 7b \\7 + 7a - 14 = 7b \\ 7a - 7 = 7b \\ 7(a - 1) = 7b \\ \frac{7(a - 1)}{7} = \frac{7b}{7} \\ a - 1 = b[/tex]
hope this helps you.
Have a nice day!
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
Answer:
Step-by-step explanation:
∠ADC = 90°
∠ADB + ∠BDC = 90
20 + ∠BDC = 90
∠BDC = 90 - 20 = 70
∠BDC = 70°
16) ∠PSR = ∠PSQ +∠QSR
= 60 + 10
= 70
18) ∠PSR = 130
∠PSQ + ∠QSR = 130
90+ ∠QSR = 130
∠QSR = 130 - 90
∠QSR = 40
19)∠ADC = ∠ADB + ∠BDC
= 120 +20
= 140
20) ∠PSR = 125
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
Cam can't figure out what to eat. He is going to randomly select a piece of fruit from his pantry. There are 444 apples and 555 bananas in his pantry.
What is \text{P(select an apple})P(select an apple)start text, P, left parenthesis, s, e, l, e, c, t, space, a, n, space, a, p, p, l, e, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Answer:
0.45
Step-by-step explanation:
no. of outcomes = 4+5 = 9
favourable outcomes = 4
P(an apple) = 4/9
= 0.4444... or 0.45
It takes a train 8 hours to travel a distance of 216 km. What is the average speed of the train?
(S=D/T)S=216KM, T=8HOURS : 216/8=27KM/HOUR
The average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
It takes a train 8 hours to travel a distance of 216 km.
As we know,
Average speed = distance/time
Average speed = 216/8 = 27 km/hour
Thus, the average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.
Learn more about the distance here:
brainly.com/question/26711747
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Sandy made an origami dog. What is the area of the parallelogram highlighted in the origami figure?
Answer:
the area = base × height = 2 × 3.32 = 6.64 ft²
Answer:
incorrect answer
Step-by-step explanation:
Ahhh please help I’m having a hard time with this(￣^￣)ゞ
Answer:
A x+y
B x+0 + (y+0)
Step-by-step explanation:
(x+0) + y+0
Adding 0
x+y
Changing the order of the parentheses
x+0 + (y+0)
is still the same
list the set of ordered pairs that had a domain that consists of multiples of 3 from -3 to 15
Answer:
Multiple of 3 from -3 to 15 are:-
3, 6, 9, 12 , 15
hope it is helpful to you ☺️
find the value of x. round to the nearest tenth.
Answer:
x = 26.4
Step-by-step explanation:
Hi there!
What we need to know:
Basic trigonomic ratios (θ is the reference angle):
Sine θ = opposite / hypotenuseCosine θ = adjacent / hypotenuseTangent θ = opposite / adjacentGiven the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:
sin(x) = 4/9
To solve for an angle given the side lengths, we use the inverse functions:
x = sin^-1 (4/9)
x = 26.4
I hope this helps!
can i get help lost on this one
[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]
[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)
Answer:
Perimeter
Step-by-step explanation:
Required
What does 36m represent?
From the question, we understand that the 36m is the measurement of the wall.
This, in other words, means the perimeter of the wall.
Hence, Supriya measured the perimeter
-78 + (-30)=
HINT = - + = -
Answer:
-108 is the answer to the question..
Answer:
-108
Step-by-step explanation:
In this addition problem, each letter stands for a different digit.
A
A
+ B B
-------------------
C C C
Find the value of A + B + C?
Bonus Question:
a. Consider the function f(x) = ax^2 + c
Find f'(x)
b. Point A (-2, 5) lies on the graph of y = f(x).
The gradient of the tangent to this graph at A is -6. Find the value of a.
c. Find the value of c.
Please answer this question and please show your work too. Anyone who is able to do this correctly will receive 50 points from me. (This assignment is about Derivatives)
Answer:
I'm not sure what to do not doing this in skl
‼️‼️HELP HELP ILL MARK YOU BRAINLEST ‼️‼️
your parents took your family out to dinner. your parents wanted to give the waiter a 15% tip. if the total amount of the dinner was $82.00 what should be paid to the waiter as a tip?
a)$12.30
b)$8.00
c)12.03
d)$13.00
Answer:
A = $12.30
Step-by-step explanation:
15 × 82 = 12.3
100
Solve x2 + 10x + 7 = 0 by completing the square.
Which equation is used in the process?
( x + 5) 2 = 32
( x + 5) 2 = 18
( x + 10) 2 = 93
ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30°
Calculate the size of angle ABC.
9514 1404 393
Answer:
∠B = 40° or 140°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions.
From the law of sines, ...
B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)
Possible values for angle B are ...
B = arcsin(9/14) ≈ 40.0°
B = 180° -arcsin(9/14) ≈ 140.0°
Find the area of the equilateral triangle below. Round to 1 point
the nearest tenth.
Answer:
25√3mm
Step-by-step explanation:
this might be the answer..
Answer:
[tex]25\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{10^2*\sqrt{3} }{4}[/tex]
Someone pls help me :p
Which is an irrational number?
It’s question number 5 pls
Answer:
A.
Step-by-step explanation:
An irrational number is a number that goes on forever without repeating. The square root of 2 does exactly this.
Pls help me I don’t get it
Answer:
15.71cm
Step-by-step explanation:
perimeter of a semi circle=1/2(πdiameter)
1/2(3.142×10cm)
1/2(31.42cm)
15.71cm
Answer:
15.71 cm
Step-by-step explanation:
remember the formula for the circumference of a circle but make it half since it's a semi-circle
the perimeter of a circle is diameter x pi
since
the diameter is 10 and pi is 3.142
its 10 x 3.142
and that equals
31.42
that's a FULL circle so half of that
divide it by 2
31.42/2=15.71
so the diamater of the semi-circle is 15.71
hope this helps!
dont forget is centimeters
Cynthia has $2.15 worth of change in her pocket. She has three more nickels than quarters and twice as many dimes as quarters. How many of each type coin has she?
Answer:
7 nickles
8 dimes
4 quarters
Step-by-step explanation:
q
d = 2q
n = q+3
25q + 10d + 5n = 215
25q + 10(2q) + 5(q + 3) = 215
25q + 20q + 5q - 15 = 215
50q = 200
q = 4
d = 2q = 8
n = q + 3 = 7
Find angle C!!!!! See the image below! I need this answer fast
Answer:
55
Angle C is a inscribed angle of the of Arc Ba.
CA is the diameter so that means Arc BA equal 110 becuase
110+70=180.
Angle C is half of Arc BA so Angle C is
[tex]55[/tex]
How would you find out how many sixth through eighth grade students are interested in joining a running club?
The question is incomplete. The complete question is :
How would you find out how many sixth through eighth grade students are interested in joining a running club? Explain how to choose a sample that will give you a good representation of a whole population.
Answer :
the sample should be random
Explanation :
We have to find the number of student from 6th through 8th grade students those who wanted to join a running club by choosing a sample of population. So in order to choose a sample which will provide a good representation for the whole population is that the sample must be a [tex]\text{random sample}[/tex] from [tex]\text{entire set of students }[/tex] and it should also include enough students to be reliable. The smaller samples have a more variation that lead to a lesser reliable inference.
Please helppppppp meeee
Answer:
angle K is 30 degrees
Step-by-step explanation:
A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees
The point (1,−1) satisfies the inequality 40x−22y≤50.
Không thảo mãn vì
44.1-22.(-1)=66
No, the point (1,-1) does not the satisfy the inequality 40x-22y<=50.
What is an inequality?
It is a type of equation in which greater than less than or equal to are used instead of only equal to.
How to solve an inequality?
To check whether whether a point satisfies an inequality or not we need to just put it in the inequality. So,
40x-22y<=50
40(1)-22(-1)=40+22=62
62 is not less than and not equal to 50. So it does not satisfies the inequality.
Learn more about inequality at https://brainly.com/question/24372553
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What is the circumference of the circle in terms of pi 30 in?
Step-by-step explanation:
Given radius = 30 in.
Circumference is given by 2πr
= 2 × π × 30
= 60π in
Mustafa is flying his kite, and Ana is watching from 20 m away, as shown. From Ana's perspective there is an
angle of 109 between Mustafa and his kite. The length of the string between Mustafa and the kite is 46 m.
Kite
46 m
109
?
Mustafa
Ana
20 m
From Mustafa's perspective, what is the angle between Ana and the kite?
Do not round during your calculations. Round your final answer to the nearest degree.
Answer: From Mustafa's perspective, there is a 47\degree47°47, degree angle between Ana and the kite.
Step-by-step explanation: Khan Academy
Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?
A.
Thales
B.
Pythagoras
C.
Euclid
D.
Archimedes
E.
Hippocrates
a) vẽ đồ thị hàm số y=2x-3(d1)
b) tìm toạ độ giao điểm B của (d1) với (P):y=x^2
c)tìm m để đường thẳng (d2):y=(m-1)x-m-3 đi qua B
Answer:
Step-by-step explanation: