1.Waheeda mixes water with some lemon juice to make lemonade. Write an equation to represent how much lemon juice is needed when Waheeda uses 18 ounces of water.

2. Identify the independent and dependent variables in the situation.
Independent variable: Dependent variable: b) Write an equation representing the amount Waheeda earns in relation to the number of glasses of lemonade she sells.
Equation: c) In which Quadrant of a graph would her data appear? Explain.

Answer:

100%

Step-by-step explanation:

The formula to calculate the return on investment is:

ROI=(Net Profit/Total Investment)*100

Net profit=Revenues-expenses=500-(500*0.6)=500-300=200

Total investment=250-(250*0.2)=250-50=200

Now, you can replace the values:

ROI= (200/200)*100

ROI= 100%

According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.

Answer:

Minimum People required = 5

Step-by-step explanation:

Total hours required to complete the work every week = 150 hrs.

Number of hours worked per week by one person = 32 hr

∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person

∴ Number of people = 150 ÷ 32

∴ Number of people = 4.6875

This is the minimum number of people. But no of people cannot be a fraction.

Thus, rounding the number to next integer.

∴ Smallest number of people needed to complete the work = 5

Answer:6.91239069507

Step-by-step explanation:

Answer:

There is no solution

Step-by-step explanation:

they all subtract eachother out

Answer:

Step-by-step explanation:

y = r x

r is the constant of proportionality

To find r pick any values of x and y provided and substitute it into the above formula and solve for r.

That's

using

x = 2

y = 22

We have

22 = 2r

Divide both sides by 2

Therefore the constant of proportionality is 11

Hope this helps you

Answer:

a) 4*x + 50 ≤ 100  

b) Domain   x (0 ; 12 )     Range   f(x)   ( 50  ; 98 )

Step-by-step explanation:

The constraint is:

4*x + 50 ≤ 100                   where "x" is the number of persons

b) Domain for x

x = 0    up to  x = 12           x (0 ; 12 )

c) Range for f(x)

f(x) = 4*x + 50

f(0)  = 4*0 + 50      f(0) =  50

f(12) = 4*12 + 50    f (12) =  98

f(x)   ( 50  ; 98 )

Answer:

Step-by-step explanation:

45=3×3×5

60=2×2×3×5

L.C.M=180

2| 180

2|90

3|45

3|15

3|5

180=2×2×3×3×5

third number=2×3=6

or 2×2×3=12

or2×3×3=18

or 2×2×3×3=36

so third number can be one of  6,12,18,36

Answer:

B) $73

Step-by-step explanation:

add all of your values and divide by the amount of values

52+55+55+55+59+64+66+68+72+73+73+73+73+75+81+81+83+84+84+86+87=

1,499

1,499 divided by 21 = 71.3809523...

which rounds to 73

HOPE THIS HELPS!!! :)

The median is of $48 in the stem leaf plot and option B is correct.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The median of a data-set is the value that separates the bottom 50% from the upper 50% of values.

The graph has 16 values, already ordered.

It is an even number, hence the median is the mean of the 8th and the 9th values, which considering the key are both 48,

Hence, the median is of $48 and option B is correct.

To learn more on Statistics click:

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Stem-and-Leaf Plot shows the amount of money each student spends

on travel per day in dollars. What is the median for the data in this graph?

Stem Leaf

A) $35

B) $48

C) $53

D) $54

============================================

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232  = -168*cos(A)

-151  = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = arccos(0.8988095)

A = 25.9979801

A = 26 degrees approximately

The angle m∠A will be 27. so option C is correct.

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232  = -168*cos(A)

-151  = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = 25.9979801

A = 26 degrees approximately

Therefore, the angle m∠A will be 27. so option C is correct.

Learn more about sine to cosine conversion here:

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Answer:

SAS

43ft

Step-by-step explanation:

We know that two sides are equal

PQ = ST and QR = TU and the angle between them is equal Q = T

We can use the SAS (side angle side)

Since the triangles are congruent

PR = SU

6y+5 = 8y

Subtract 6y from each side

6y+5-6y = 8y-6y

5 = 2y

Divide by 2

5/2 = y

2.5 = y

PR = ST = 8y = 8(2.5) =20

The perimeter is 9+14+20 = 43

Answer:

B. =35ft

Step-by-step explanation:

The perimeter of a right angled triangle is a+b+c

which is 9+4+6y+5 =90

collect like terms

9+4+5+6y=90

18 + 6y = 90

6y = 90 - 18

6y= 72

divide both sides by 6

6y/6 = 72/6

y = 12

so therefore, the perimeter of ∆PQR is

9 + 12 + 14

= 35ft

Answer:

Option (4)

Step-by-step explanation:

By the theorem of inscribed angles and the intercepted arc,

"In a circle, angles subtended by the same arc always measure the same and the arc measures the double of the inscribed angle."

If an inscribed angle in a circle measures 75° then all inscribed angles by the same arc will measure 75°.

In addition to this, measure of arc subtended by these inscribed angle will measure double of the inscribed angle (150°)

Therefore, Option (4) will be the answer.

Answer:

Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Volume = 392.5\\r = 5\\h =?\\\\V= \frac{1}{3} \pi r^2 h\\\\392.5 = \frac{1}{3} \times 3.14 \times 5^2 \times h\\\\392.5 = \frac{78.5h}{3} \\\\392.5 = 26.16h\\\\\frac{392.5}{26.16} =\frac{26.16h}{26.16} \\\\h = 15.00[/tex]

Answer:

h=15 in

Step-by-step explanation:

V=πr²(h/3)

h=3v/πr²

h=[3(392.5)]/[3.14(5)²]

h= 15 in

Answer:

Step-by-step explanation:

Hello, we can write this number ab where a and b are integer betwen 0 and 9.

For instance, 54, a = 5, b = 4

And then, we can say ab = 10 * a + b.

For instance, 54  = 50 + 4 = 5*10 + 4.

The sum of the digits of a two digit number is 10.

a +  b = 10

When the dishes are reversed the number increases by 18.

10b + a = 18 + 10a + b

9b = 18 + 9a

b = 2 + a

We replace in the first equation to get.

a + 2 + a = 10

2a = 10 -2 = 8

a = 4

and then, b = 6

So, the number is 46.

Thank you

To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.

A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.

Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.

For example, if we pick x = -3, then,

y= -x^2 -4x -3

y= -(-3)^2 -4(-3) -3

y = -9 - 4(-3) - 3

y = -9 + 12 - 3

y = 0

This indicates that (-3, 0) is one point on the curve.

Let's repeat for x = -2

y= -x^2 -4x -3

y= -(-2)^2 -4(-2) -3

y = -4 - 4(-2) - 3

y = -4 + 8 - 3

y = 1

So (-2, 1) is another point on the curve.

Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.

I used GeoGebra to make the graph.

=====================================================

Explanation:

Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.

The equilateral triangle marked in blue has all three angles 60 degrees each.

Note that the 60 and y angles combined to form 130, so,

60+y = 130

y = 130-60

y = 70

Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180

y+w+w = 180

70+2w = 180

2w = 180-70

2w = 110

w = 110/2

w = 55

This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.

Answer:

  9 square units

Step-by-step explanation:

The function f(x) describes a parabola opening downward, with a vertex at (3, 9). The maximum value of f(x) is found at the vertex, where it is f(3) = 9.

The maximum area is 9 square units.

Answer:

9 c

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Jackie

[tex] \sqrt{9} + \sqrt{25} = 3 + 5 = 8[/tex]

Jesse

[tex] \sqrt{9 + 25} = \sqrt{34} [/tex]

Taking the difference, we get the answer to be

[tex]8 - \sqrt{34} [/tex]

Answer:

[tex]\textsf{x=22.5}[/tex]

Step-by-step explanation:

[tex]\textsf{According to intersecting tangent - secant theorem,}[/tex]

[tex]\textsf{x=1/2[(4x+5)-50]}[/tex]

[tex]\textsf{2(x)=4x+5-50}[/tex]

[tex]\textsf{2x=4x-45}[/tex]

[tex]\textsf{2x-4x=-45}[/tex]

[tex]\textsf{-2x=-45}[/tex]

[tex]\textsf{x= -45/-2}[/tex]

[tex]\textsf{x=22.5}[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]

Answer:

  A. (1, -2)

  B. the lines intersect at the solution point: (1, -2).

Step-by-step explanation:

A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.

This gives ...

  3x -5 = 6x -8

Adding 8-3x to both sides, we get ...

  3 = 3x

Dividing both sides by 3 gives ...

  1 = x

Substituting this value into the first equation, we can find y:

  y = 3(1) -5 = -2

The solution is (x, y) = (1, -2).

__

B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).

Answer:

by tracking data of how much money was made on one product in a certain amount of time

Step-by-step explanation:

The correct answer is D. ​No because the permutations rule would be used to determine the total number of combinations.

Explanation:

The difference between a combination and a permutation is that in permutations the order is considered. This applies to the numbers in a lock because these need to be in order. Therefore, to analyze the permutations in a lock, the rule for permutations should be used. This includes the general formula P (n,r) =[tex]\frac{n!}{(n-r) !}[/tex]; in this, n is the number of objects and r refers to the objects used in a permutation. Thus, the term "combination" is inappropriate because this is a permutation, and the permutation rule should be used.

Answer:

-1

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Answer:

12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️

Answer:

The number of hours monorail run each day is 18.

Step-by-step explanation:

The total number of riders the monorail carry each day is:

N = 92700.

The number of riders the monorail carry per hour is:

n = 5150.

Compute the number of hours the monorail run each day as follows:

[tex]\text{Number of hours the monorail run each day}=\frac{N}{n}[/tex]

                                                                     [tex]=\frac{92700}{5150}\\\\=18[/tex]

Thus, the number of hours monorail run each day is 18.

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

⇛ x = 90° + 46°

⇛ x = 136°

Answer:

28 - 10 - 15 - 3

=> 18 - 15 - 3

=> 3 - 3

=> 0

Another way:

=> 28 - 10 - 15 - 3

=> 28 - 25 - 3

=> 28 - 28

=> 0

Answer:

??????????????????????????????

Answer:

C(-11,-4)

Step-by-step explanation: