5. Mia is making lemonade. Mia mixes 43 cup of water with 1/4 cup of lemon mix. How much water would she need for 1 cup of lemon mix?

The number of days it will take 5 workers to create 20 products, found using the work rate for 1 worker is 80 days

Work rate is the rate at which a specified work is completed.

The number of days it will take 10 workers to create 20 products = 40 days

Therefore;

The number of days it will take 1 worker to create 20 products = 40 × 10 days = 400 days

Where 1 worker can create 20 products in 400 days, then;

The work rate for one worker indicates;

The number of days it will take 5 workers to create 20 products can be found by dividing the number of days it will take 1 worker to create the 20 products by 5

5 workers will take = 400 days ÷ 5 = 80 days

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The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer:

2 1/12 B)

Step-by-step explanation:

Answer:

The answer is 11 Units

Answer:

12

Step-by-step explanation:

base*height=6*2

6*2=12

The property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 19 < 4x - 5

By the addition property, add 5 on both sides

19 + 5 < 4x - 5 + 5

24<4x

By Multiplication and division property, divide both sides by 4

(1/4)24<(1/4)4x

6<x

Hence, the property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.

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Answer:

B and C

Step-by-step explanation:

To find the perimeter of a shape, you basically just add the sides together.

For example, B is 8 + 4 = 12, and A is 6 + 6 = 12

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

11. a)50      12. a)40

Step-by-step explanation:

sum of  all three angles of  trinagle=180

so

111.

80+50+x=180

130+x=180

x=180-130

x=50

12.

60+90+x=180

150+x=180

x=190-150

x=40

Answer:

A and C

Step-by-step explanation:

Answer:

=> -4

Step-by-step explanation:

7 + x = 5

=> x = 5 - 7

=> x = -2

Putting the value of x = -2 in equation 3x + 2

=> 3(-2) + 2

=> -6 + 2

=> -4

Answer:

-4

Step-by-step explanation:

when 7 +x =5   solve for x by subtracting 7

x=5-7 =-2

3x+2 =               substitute (-2) for x

3(   )+2

3(-2)+2

-6+2=-4

Step-by-step explanation:

x = -2

x = -8

please follow me

Answer:

the answer is B

Answer:

(i) 41-45 mins

(ii) 40 mins

(iii) 75 workers

(iv) Rs10500

Step-by-step explanation:

(i)  The modal class is the class with the highest frequency.

Therefore, from inspection of the frequency table, the modal class is 41-45 mins since if has the highest frequency of 14.

(ii) As the data is grouped, to find an estimate of the mean, assume that every worker takes the value of the class mid-point.  As the data is discrete, there are gaps between the classes, and so we also have to use lower and upper class boundaries to calculate the mid-points.

Class 21-25 : lower 20.5 | upper 25.5 | mid-point 23

Class 26-30 : lower 25.5 | upper 30.5 | mid-point 28

Class 31-35 : lower 30.5 | upper 35.5 | mid-point 33

Class 36-40 : lower 35.5 | upper 40.5 | mid-point 38

Class 41-45 : lower 40.5 | upper 45.5 | mid-point 43

Class 46-50 : lower 45.5 | upper 50.5 | mid-point 48

Class 51-55 : lower 50.5 | upper 55.5 | mid-point 53

Class 56-60 : lower 55.5 | upper 60.5 | mid-point 58

Mean = (sum of frequency x class mid-point) ÷ total frequency

⇒ Mean = (2 x 23 + 5 x 28 + 7 x 33 + 10 x 38 + 14 x 43 + 8 x 48 + 3 x 53 + 1 x 58) ÷ 50

⇒ Mean = 40 mins

(iii)  8 hours = 8 x 60 = 480 mins

Total time ÷ average time to make one doll = 480 ÷ 40 = 12

If the mean time to make a doll is 40 minutes, then one person can make 12 dolls in 8 hours.

Therefore, to calculate the number of workers required to make 900 dolls in 8 hours, divide the total number of dolls needed by 12:

900 ÷ 12 = 75

So 75 workers will be needed to make 900 dolls in 8 hours, given the mean time for a worker to make a doll is 40 mins.

(iv) Overtime is paid in excess of 6 hours.  Therefore, each worker will be working 2 hours overtime.

Total amount of overtime pay = hours x rate x workers

                                                  =  2 x Rs70 x 75

                                                  = Rs10500

Answer:

1. zero

2. seven over eight

3. one over three

4. one

5. one over two

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Answer:

5m + 4

Step-by-step explanation:

First, use the distributive property to open the parentheses.

2(2m + 2) + m = _m + 4

4m + 4 + m = _m + 4

Simplifiy:

5m + 4

Hope this helps!

Answer:

5m+4

Step-by-step explanation:

open up the bracket

that will be 4m+4+m   (since 4m and m are alike we can add them together)

5m+4

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By using algebra and trigonometry properties, the expression (cot² t + 1) · (sin² t + 1) is equivalent to the expression cot² t + 2.

In this problem we find an equivalence between two trigonometric expressions. This can be done by transforming the expression at one side by using algebra and trigonometry properties until the expression of the other side is found. The procedure is now presented and explained:

(cot² t + 1) · (sin² t + 1)                              Given

(cot² t + 1) · sin² t + (cot² t + 1)                 Distributive property

cot² t · sin² t + sin² t + cot² t + 1              Distributive property

cos² t + sin² t + cot² t + 1                         cot t = cos t / sin t / Associative and commutative properties / Existence of multiplicative inverse / Modulative property

1 + cot² t + 1                                              cos² t + sin² t = 1

cot² t + 2                                                  Commutative and associative properties / Definition of addition

Thus, the expression (cot² t + 1) · (sin² t + 1) is equivalent to the expression cot² t + 2.

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Answer:

Step-by-step explanation:

Step one:

given that the functions are

f(x)=√x+3,

g(x)=2x+9,

h(x)=x4 .

To Evaluate f(g(2)) , we need to find g(x=2)=2x+9,

substitute x=2 in g(x)=2x+9,

g(x=2)=2(2)+9,

g(x=2)=4+9,

g(x=2)=13

Step two:

now we can substitute  g(x)= 13 in the function  f(x)=√x+3

that is x=13

 f(g(2)) =√g(x)+3--------g(x)=13

f(g(2)) =√13+3

f(g(2)) =√16

f(g(2)) =4

Hence f(g(2))  is 4

The answer is A. x y 2 4 3 6 4 9 for the given values.

What is proportional relationship ?

A proportional relationship is a type of relationship between two quantities, where the ratio of one quantity to the other remains constant. In other words, as one quantity increases or decreases, the other quantity changes in a way that maintains the same ratio between them.

For example, if we have a proportional relationship between

The table that shows a proportional relationship between x and y is A.

In a proportional relationship, the ratio of y to x remains constant. We can check this ratio for each table:

A. For x=2, y=4, so y/x=2. For x=3, y=6, so y/x=2. For x=4, y=9, so y/x=2. The ratio of y to x remains constant at 2.

B. For x=3, y=4, so y/x=4/3. For x=9, y=16, so y/x=16/9. For x=15, y=20, so y/x=4/3. The ratio of y to x is not constant.

C. For x=4, y=12, so y/x=3. For x=5, y=15, so y/x=3. For x=6, y=18, so y/x=3. The ratio of y to x remains constant at 3.

D. For x=1, y=4, so y/x=4. For x=2, y=8, so y/x=4. For x=3, y=15, so y/x=5. The ratio of y to x is not constant.

Therefore, the answer is A. x y 2 4 3 6 4 9 for the given values.

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The exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

An exponential function is represented as:

\(y = b^x\)

The base is 3.

So, we have:

\(y = 3^x\)

It is stretched vertically by 2/3.

So, we have:

\(y = \frac23(3)^x\)

When reflected over the y-axis, we have:

\(y = \frac23(3)^{-x}\)

An asymptote of y = 2, makes the function becomes

\(y = \frac23(3)^{-x} + 2\)

Lastly, it passes through the point (0, 3.5).

So, we have:

\(y = \frac23(3)^{-x+h} + 2\)

This gives

\(3.5 = \frac23(3)^{-0+h} + 2\)

\(3.5 = \frac23(3)^{h} + 2\)

Subtract 2 from both sides

\(1.5 = \frac23(3)^{h}\)

Multiply by 3/2

\(2.25 = (3)^{h}\)

Take the logarithm of both sides

log(2.25) = h * log(3)

Solve for h

h = 0.74

Substitute h = 0.74 in \(y = \frac23(3)^{-x+h} + 2\)

\(y = \frac23(3)^{-x+0.74} + 2\)

Hence, the exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

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Answer:

y=-2/3x+18

Step-by-step explanation:

Slope intercept form equals y=mx+b

Step 1 move 2x to the other side.  3y=-2x+18

Step 2 divide by 3.   y=-2/3x+18

Answer:

p=4

Step-by-step explanation:

m=5

r=1

5=p/2+3

5-3=p/2

2=p/2 crescroos

2×2=p

p=4

m=4/2+3

m=2+3

m=5 so it is right

Answer:

This is so confusing

Step-by-step explanation:

where is the image?

Answer:

burger king

Step-by-step explanation:

math

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

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Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Answer:

she does not have enough!

Step-by-step explanation:

thirty percent of $28 is $8.4, so you would subtract the two leaving you with $19.6

2.5 sales tax of $19.6 is $0.49

Adding those two the total comes to $20.09 which is just over the budget!

Answer:  She does not have enough money.

She needs 9 cents (aka $0.09)

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

Explanation:

A discount of 30% means Mary would pay the remaining 70% (because 100-30 = 70)

The decimal form of 70% is 0.70

Let A = 0.70 since we'll use it later.

An increase of 2.5% means we will also have the multiplier 1.025; which you can think of it like saying 100% + 2.5% = 1 + 0.025 = 1.025

Let B = 1.025 since we'll use it later

Multiply the values of A and B to get: 0.70*1.025 = 0.7175

This is the net multiplier when combining the 30% discount and 2.5% tax.

The original price $28 then becomes 0.7175*28 = 20.09 which is 9 cents (aka $0.09) over the goal of $20

Therefore, Mary does not have enough money to buy the book. She'll need that remaining 9 cents.

Answer:

1:72

Step-by-step explanation:

The scale of a drawing is the ratio of the length in the drawing to the real length.

Drawing length: 7 inches

Real length: 42 ft × 12 in. / ft = 504 in.

Scale:

7 in. to 504 in.

Divide both numbers by 7:

1 in. to 72 in.

Scale: 1:72