The time it takes to complete a certain job is directly proportional to the number of units produced. If it takes 22 minutes to proficiently 18 units, how many units are produced in 33 minutes?

Answers

Answer 1

Answer:

27 units

Step-by-step explanation:

let t represent time and n represent number of units

given t is directly proportional to n then the equation relating them is

t = kn ← k is the constant of proportion

to find k use the condition t = 22, n = 18 , then

22 = 18k ( divide both sides by 18 )

[tex]\frac{22}{18}[/tex] = [tex]\frac{11}{9}[/tex] = k

t = [tex]\frac{11}{9}[/tex] n ← equation of variation

when t = 33 , then

33 = [tex]\frac{11}{9}[/tex] n ( multiply both sides by 9 )

297 = 11n ( divide both sides by 11 )

27 = n

27 units are produced in 33 minutes


Related Questions

HELPPPPPPP PLEASE ITS TIMED

Answers

it’s equal to angle 8 because they’re vertical angles

find the length of the third side. if necessary, write in simplest radical form.

Answers

Answer:

10

Step-by-step explanation:

Let x represent the third side

This is a right triangle

In right triangle the sum of square value of both legs is equal to square value of hypotenuse(the third side in this case)

Let x represent the third side

5^2 + 5[tex]\sqrt{3}[/tex]^2 = x^2

25 + 75 = x^2

100 = x^2 find the root for both sides

10 = x

In a recent year, 33..9% of all registered doctors were female. If there were 53,100 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.

Answers

Answer:

88145 doctors

Step-by-step explanation:

Percentage of male doctors=64/100×53100=

35046%.

Therefore 53100+35046=

88145 doctors


Which equation represents a line parallel to 2x+y=-2?

A. y=-2x+3
B. x+y=5
C. y-x=-1
D. y-2x=3

Answers

Answer:

Option A

Step-by-step explanation:
To find the answer we need to graph the following equations to see which equation is parallel to the given equation 2x + y = -2x. Your answer is option A or "y = -2x + 3." One of the biggest rules when trying to find out if the two lines are parallel to each other is seeing if the two lines intercept. In this case if you graph all the following options, the only line that does not intercept the first line 2x + y = -2 is the option A, which means it's your answer.

Hope this helps.

I need help on this

Answers

Answer:

A. 75.6 in³

Step-by-step explanation:

The volume of a rectangular prism is V = Bh, where B = area of the base and h = height. We're given the dimensions of the base as 4.2 and 3, and the height as 6.

4.2 × 3 = 12.612.6 × 6 = 75.6 cubic inches

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

A. 75.6 in³

Step-by-step explanation:

Given :-

Base area = 4.2 in x 3 in

Height = 6 in

To find :-

Volume

Formula required :-

Volume = length x breadth x height

Volume = base area x height

Solving :-

V = 4.2 x 3 x 6

V = 12.6 x 6

V = 75.6 in³

Solution :-

A. 75.6 in³

im very confused of this question i need help

Answers

Answer: add to eliminate x

Step-by-step explanation:

Answer:

add to eliminate x

Step-by-step explanation:

In my opinion, the fourth option is the answer

If necessary, round your answer to the nearest tenth,

Answers

Check the picture below.

Solve the inequality.
3y <-9

Answers

Answer:

y < -3

Step-by-step explanation:

Answer: y<-3

Step-by-step explanation:

1) 3y<-9 divide both sides of the inequality by 3

2) 3y÷3< -9÷3

3)any expression divided by itself equals 1

y<-9÷3

4) calculate the quotient y<-3

Look at balance scale. If one
balance the scale?
is equivalent to two
what should be added to sides
1)
Side x
Side y
A) One can
B) One ball and one can
C) One ball
D) Two cans and one ball

Answers

Answer:

C-One ball

Step-by-step explanation:

Side x- 4

Side Y- 6

Ball equals 2

4+2=6

6=6

AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF.

4 lines are shown. A horizontal line with points F, B, G intersects a vertical line with points A, B, E at point B and forms a right angle. Another diagonal line with points D, B, C intersects the other 2 lines at point B between angle F B E and angle A B G. A fourth line intersects 3 lines at points A, C, G.
By the congruent supplements theorem, what can you conclude?

AngleCBG Is-congruent-to AngleDBG
AngleFBC Is-congruent-to AngleDBG
AngleCBG is supplementary to AngleDBF.
AngleFBC is supplementary to AngleDBG.

Answers

Answer:

FBC=DBG

Step-by-step explanation:

Edge 2020

Based on the congruent supplements theorem which says that two angles are that are supplements of the same angle are congruent, therefore:  ∠FBC ≅ ∠DBG.

What is the Congruent Supplements Theorem?

The congruent supplements theorem states that when two angles are congruent or supplements of the same angle, therefore, the two angles can be proven to be congruent angles.

Therefore, from the information given, we can conclude based on the congruent supplements theorem that:  ∠FBC ≅ ∠DBG.

Learn more about congruent supplements theorem on:

https://brainly.com/question/21095363

6x + 2x - 18 = 0
What are the values of
a
b
c​

Answers

Answer:

A. 6

B. 2

C. 18

Step-by-step explanation:

Help Math, Need someone to help with vertical angles
DOWN BELOW

Answers

Answer:

x = 25°

Step-by-step explanation:

The angles are equal and opposite. This means that if the top angle is 150°, then the angle at the bottom must be 150° too. However, it is currently 2x° + 100°, which turns it into an equation. So far we have 100° as a known angle, so we subtract that from 150° to get the value of 2x.

2x° = 50

Now we divide 50 by 2, and that gives us 25°.

x = 25°

- Educationist

How many solutions does this equation have: y=x^2-7x-18

Answers

Answer: 2 solutions


-2 and 9

Step-by-step explanation:

see pic

the quotient of a and 5​

Answers

Answer:

Step-by-step explanation:

For exact divisions such as 10 ÷ 5 = 2, we have an integer as a quotient, and for divisions such as 12 ÷ 5 = 2.4, the quotient is a decimal.

Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Total order Discount
£40 - £54.99 5%
£55 - £79.99 6.5%
£80
8%
above
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.

Answers

Ethan orders 5 boxes of paper clips and each box cost £15.40.

£15.40 x 5 = £77

Ethan gets a 6.5% discount.

6.5% of £77 is simple to find us X as representation of 6.5% (we want to know how much is that in pounds)

X/6.5% = 77/100%

X (100) = 77 (6.5)

X (100) = 500.5

X = 500.5/100

X = £5.01

Ethan got a discount of £5.01

Give two examples of each type of number: real, natural, integers, rational and irrational.Explain step-by-step how to simplify -5(2x – 3y + 6z – 10)

Answers

9514 1404 393

Answer:

real, natural, integers, rational: 2, 3irrational: √2, √3use the distributive property

Step-by-step explanation:

A) Any positive integer is all of real, natural, integer, and rational. A couple of examples of positive integers are 2, and 3.

Any non-complex number is real: -98.6, +29.7π.

Natural numbers are positive integers: 89, 10103.

Integers are any positive or negative number that has no fractional part. Zero is also an integer. A couple are -3, 0.

A rational number is one that can be expressed as the ratio of two integers. Any finite decimal number and any repeating decimal number are rational numbers. A couple of these are 22/7 and -0.0037285.

An irrational number is a number that cannot be expressed as the ratio of two integers. A cube root of a number that is not a perfect cube will be irrational, for example, The same is true of other roots. √2, ∛-5 are irrational. Pi (π) is a famous irrational number, along with 'e', the base of natural logarithms.

__

B) The terms inside parentheses are unlike, so cannot be combined. The only way this expression can be simplified is by removing the parentheses using the distributive property.

  -5(2x -3y +6z -10) = (-5)(2x) +(-5)(-3y) +(-5)(6z) +(-5)(-10)

  = -10x +15y -30z +50

You pick a card at random from an ordinary deck of 52 cards. if the card is a diamond, you get some points; if not, you lose 2 points. what value for the diamonds would make the game fair? 12 6 24 3

Answers

The value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

From a card at random from an ordinary deck of 52 cards is picked.If the card is a diamond, you get some points. There are total 13 diamonds in a deck of cards.

Thus, the probability of picking a diamond from 52 cards is,

[tex]P=\dfrac{13}{52}\\P=\dfrac{1}{4}[/tex]

The probability of not picking a diamond from 52 cards is,

[tex]P'=1-\dfrac{1}{4}\\P'=\dfrac{3}{4}[/tex]

If the picked card is not a diamond, then the 2 points are lost. Let X is the score in the game. If the game is fair then the expected value for this should be 0. Thus,

[tex]0=x\times \dfrac{1}{4}+2\times\dfrac{(-3)}{4}\\x=6[/tex]

Hence, the value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

6

Step-by-step explanation:

The answer above is correct.

what is the area of 3ft and 12ft?

Answers

Answer:

36 ft

Step-by-step explanation:

3 × 12 = 36 ft

I hope this helps!

36ft squared if it is a rectangle. You multiply the two different sides of the rectangle (3x12=36)

I need help solving this problem. ​

Answers

Answer:

Step-by-step explanation:

area of parking lot=(100-x)(100+x)=100²-x²=(10000-x²)ft²

original area=100²=10000 ft²

x²>0

so new area is decreased.

Find the measure of angle m

Answers

4. The measure of angle m is 110°

- since the two angles are vertical, they are congruent.

:)

The following triangles are similar. True or False.

Answers

Answer:

It would be true

Remington needs at least $3,000 to buy a used car. He already has $1,800. If he saves $50 per week. Which inequality best matches the situation?

Answers

Answer:

24 weeks

Step-by-step explanation:

I'm not sure exactly what you're asking but if he's making $50 a week it would take him 24 weeks to have enough money for the car. Here is an inequality for the amount he needs: 50x+1800≥3000

What is the image of the point (-6, - 2) under a 90° rotation about the point (-4, 1)?

A. (-1,2)
B. (-2,4)
C. (-1, - 1)
D. (-7,3)

Answers

Maybe D?????????? Hope I helped!!!!!

Answer:

Step-by-step explanation:

C.(-1,-1)

Please solve both. I’ll give brainliest

Answers

Answer:

Part a: A square and a rhombus both have sides of equal length.

Let's calculate the length of each side.

[tex]\overline{PL}: \sqrt{(0-5)^2+(3-3)^2}=\sqrt{25+0}=5\\\overline{LA}\sqrt{(5-2)^2+(3-(-1))^2}=\sqrt{3^2+4^2}=5\\\overline{AN}:\sqrt{(2-(-3))^2+(-1-(-1))^2}=\sqrt{25+0}=5\\\overline{NP}:\sqrt{(-3-0)^2+(-1-3)^2}=\sqrt{3^2+4^2}=5[/tex]

All sides measure 5. So it's at least a rhombus (think of a square as a rhombus with extra restrictions).

Part b: A square has extra restriction, more important all angles being 90° and diagonals having the same length. If you discussed about slopes it's easy to see that two sides are horizontal but the other two are NOT vertical. Which might be proof enough.

But the exercise looks about lengths on the plane, so let's measure diagonals.

[tex]\overline{PA}=\sqrt{(0-2)^2+(3-(-1))^2}= \sqrt{2^2+4^2}=\sqrt{20}\\\overline{LN}=\sqrt{(5-(-3))^2+(3-(-1))^2}= \sqrt{8^2+4^2}=\sqrt{80}[/tex]

The two diagonals have different lengths, so the figure cannot be a square.

At the end of the night, mrs johnson works with the student council to determine their profit on the fundraiser the least popular item was chips in which they sold on 21 bags. the chips cost a total of 48.10

Answers

Answer:

21+48.10=69.10

Step-by-step explanation:

21

+

48.10

=

69.10

Find the slope of the line through each pair of points.
1) (19,8),(-2, 11)

Answers

Answer:

The slope of the line is  [tex]-\frac{1}{7}[/tex]

Step-by-step explanation:

The rule of the slope of a line which passes through points

(x1, y1) and (x2, y2) is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

∵ The line passes through points (19, 8) and (-2, 11)

x1 = 19 and x2 = -2

y1 = 8 and y2 = 11

→ Use the rule above to find the slope of the line

∵ [tex]m=\frac{11-8}{-2-19}=\frac{3}{-21}[/tex]

→ Simplify the fraction by divide up and down by 3

∴ [tex]m=-\frac{1}{7}[/tex]

The slope of the line is  [tex]-\frac{1}{7}[/tex]

7. Is it possible to have a triangle with the following side lengths: 8 in, 9 in, and
17 in?

Answers

Yea it is possible for that to happen

How do I do this? I’m very confused

Answers

To find y you need to do 3 1/4 - 1 5/8

3 1/4 - 1 5/8 = 1 5/8
y = 1 5/8

What is the slope of the line below?

Answers

4/2 or 2
the 4 comes up from the amount of spaces going up and the 2 comes from how many spaces goes right, hope this helps

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The slope could be determined by plugging in what you know into here....

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

then plug in what you know...

[tex](1,-2)\\(3,2)\\y_{2} =-2\\y_{1} =2\\x_{2} =1\\x_{1} =3[/tex]

[tex]m=\frac{-2-2}{1-3} =\frac{-4}{-2} =2[/tex]

So the slope is 2.

Find the number of shaded triangles for each figure. first triangle: second triangle: third triangle: fourth triangle:

Answers

A triangle is a three-sided polygon with three vertices and three edges. The number of triangles in the given figure are 1, 3, 9, and 27.

What is a triangle?

A triangle is a three-sided polygon with three vertices and three edges. It is one of the most fundamental geometric forms.

The number of shaded triangles in each of the triangles is shown below, therefore, the number of triangles in each triangle can are:

1st triangle = 1

2nd triange= 3

3rd triangle = 9

4th triangle = 27

Hence, the number of triangles in the given figure are 1, 3, 9, and 27.

Learn more about Triangles:

https://brainly.com/question/25813512

Answer:

first part is 1, 3, 9, 27

second part is A

third part is 29,524

Step-by-step explanation:

edg 23'

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