a recipe for 24 bran muffins requires 2.25 cups of flour. You want to make 30 bran muffons. which proportion could be solved to find x, the total number of cups of flour needed

Answer:

7.5 hours

Step-by-step explanation:

The key here is to find out how much can be done in the same amount ot time

the least common multiple of 5 hrs and 3 hrs is 15hrs

In 15 hours:

- At 5 hours per lawn Norton could mow 15/5 = 3 lawns

- At 3 hours per lawn together thay could mow 15/3 = 5 lawns

In 15 hours Jesse would mow 5 - 3 = 2 lawns

15 hours/ 2 lawns = 7.5 hours per lawn

7.5 hours

--------------------

Here's the math

1 lawn/5hrs + x = 1 lawn / 3hrs

1/5 + x = 1/3

Subtract 1/5 from both sides

x = 1/3 - 1/5

x = 5/15 - 3/15

x = 2/15

x = 2lawns/15 hrs

15hrs/2lawns = 7.5 hrs per lawn

7.5 hours

Answer:

What are the original demensions?

Step-by-step explanation:

Answer:

7263

Step-by-step explanation:

Using technology, the quadratic regression function which models the data in the form ax² + bx + c is written thus ;

The quadratic regression function is a polynomial of degree 2. Where, x represents the widget selling price and y represents the total profit earned.

The predicted profit made on a widget selling price of $10.25 can be calculated by substituting x = 10.25 into the equation :

f(10.25) = -147.30(10.25)² + 3231.00(10.25) - 8213.66

f(10.25) = 9428.38

Therefore, the widget selling price is $9428.38

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Answer and Step-by-step explanation:

To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).

16x - 15 = 30 + 11x

Subtract 11x from both sides of the equation.

5x - 15 = 30

Add 15 to both sides of the equation.

5x = 45

Divide both sides of the equation by 5.

x = 9

So, the answer is 9, which is equal to x.

#teamtrees #PAW (Plant And Water)

Answer:

x = 1.67

Step-by-step explanation:

We know that in a parallel, opposite sides are parallel and congruent, therefore we can solve for x, by:

(BC) = (AD)

16x - 15 = 30 - 11x

(+11x) + 16x - 15 = 30

27x - 15 = 30

27x = 45

x = 45/27

x = 1.67

Therefore, x = 1.67

Hope this helps!

Answer:

Let base = b

Given height, h is 4inches less than base. So h = b - 4

[tex]Area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} b \times(b-4)\\224 = b(b -4)\\b^2 - 4b -224 = 0\\\\b= \frac{4 \pm \sqrt{16 - (4\times -224)} }{2} \\\\\\b= \frac{4 + \sqrt{16 +896 } }{2} , b= \frac{4 - \sqrt{16 +896} }{2} \\\\\\b = 17.099 , -13.099[/tex]

Since length can't be negative, we take b = 17.099inches

Height ,h = b - 4 = 13.099 inches ≈ 13.1 inches

Answer:

1,406

Step-by-step explanation:

p = a(1 + r)^t

p = 1,236(1.013)^10

p = 1,406.4131692427

p = 1,406

Answer: $4045.43

Step-by-step explanation: I just took the test.

The amount of money Ida will make in all over 5 weeks will be $4556.25.

The amount of money earned by any seller on the cost price is called the profit. It is given that Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week.

The amount will be calculated as follows:-

A    =   600 ( 1.15 ) ⁵

A    =   $4556.25

Therefore the amount of money Ida will make in all over 5 weeks will be $4556.25.

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Answer:

103/25

Step-by-step explanation:

412% = 4.12 = 103/25

Answer:

4.12

Step-by-step explanation:

remove the '%' sign and then move the decimal two places to the left

other examples:

5% = .05

4.5% = .045

123% = 1.23

.9% = .009

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

she needs 4 pounds of pluma to make 6 pounds of jelly.

so 4 pounds of pluma x 4 = exactly 24 pounds of jelly. 4×4=16

4x + x = 1200

5x = 1200

x = 12 × ( 100 ÷ 5 )

x = 12 × 20

x = 240

______________________________

Larger : 4 × 240 = $ 960

lower : 1 × 240 = $ 240

Answer:

the ratio of white tiles to blue tiles is 48

Step-by-step explanation:

The scale factor does the company need to use for the family size box is 1.56.

A scale factor is the number by which all the components of an object are multiplied in order to create a proportional enlargement or reduction.

According to the question

A food company is designing boxes for several products. Each box is a rectangular prism.

The family size box will be a dilation of the single serving 1.2-ounce box.

It must contain 18.75 ounces of cereal.

For finding scale factor divide 18.75 by 12

= [tex]\frac{18.75}{12}[/tex]

= 1.56

Hence, the scale factor does the company need to use for the family size box is 1.56.

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Answer:

7 1/9

Step-by-step explanation:

because I know i'm right

Answer:

Answer in Improper fraction: 64/9

Answer is Mixed number: 7 1/9

In decimal form: 7.11111111111111111111111111111111111111 (Forever, you get the picture)

Step-by-step explanation:

Improper fraction form:

8/3*8/3= 64/9

Hope this helps!

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

Answer:

y = 115.0977+12.2992X

91.59%

Step-by-step explanation:

Given :

DLH(X) ILE(Y)

20 361_0

25 400

22 376

23 384

20 361_0

19 360

24 427.2

28 458.4

26 450_8

29 475.2

DLH (X) : Direct Labor Hours

ILE (Y) : Indirect Labor Expense

The regression model obtained by fitting the data using technology is :

y = 115.0977+12.2992X

Where ;

Intercept = 115.0977 ;

Slope = 12.2992

The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.

For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.

Answer:

24.4

Step-by-step explanation:

Given the data :

Month (X) : 0, 1, 2, 4, 6

Weight (Y) : 7.2, 9.4, 10.5, 13.2, 15.9

To obtain the predicted weight at 1 year, we fit the data to obtain the regression model. Using technology, the regression model obtained is :

y = 7.6 + 1.4X1

Substituting x = 1 year into the regression model, we obtained the predicted weight at 1 year ;

1 year = 12 months, hence, x = 12

y = 7.6 + 1.4(12)

y = 7.6 + 16.8

y = 24.4

Answer:

Step-by-step explanation:

let a number be x

let another number be x+1

x+x+1=20

2x=20-1

x=19/2

x=9.5

therefore one number is 9.5 and another number is x+1=9.5+1=10.5

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Let the Consecutive odd numbers be x and x+2

Therefore, the numbers are :

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

twenty-four nights

Step-by-step explanation:

597 divided by 25 will give you 23.88 which i rounded up to 24.

Answer:

-10a^4 + 17a^2s - 6s^2

in other words, your answer is the first one

Answer:

-10a^4 +17a^2s-6s^2

Step-by-step explanation:

see Image below:)

Answer:

450 foe

Step-by-step explanation:

Answer:

The expected value of the money she selects is 6.65.

Step-by-step explanation:

Expected value:

Sum of each outcome multiplied by its probability.

We have:

8 + 5 + 4 + 3 = 20 total bills.

8 are ones, so P(X = 1) = 8/20 = 0.4.

5 are fives, so P(X = 5) = 5/20 = 0.25.

4 are tens, so P(X = 10) = 4/20 = 0.2

3 are twenties, so P(X = 20) = 3/20 = 0.15.

What is the expected value of the money she selects?

[tex]E(X) = 0.4*1 + 0.25*5 + 0.2*10 + 0.15*20 = 6.65[/tex]

The expected value of the money she selects is 6.65.

Answer:

21.142

Step-by-step explanation:

not sure it's correct

Answer:

the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )

Step-by-step explanation:

Given the data in the question;

sample mean x' = 700

sample size n = 64

the standard deviation σ = 100

99% confidence interval for the true mean number of mosquitos caught in all mosquito traps = ?

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Z-critical [tex]Z_{\alpha /2[/tex] = 2.575 { from table }

So, to get the 99% confidence interval;

⇒ x' ± [tex]Z_{\alpha /2[/tex] ( σ / √n )

we substitute

⇒ 700 ± 2.575 ( 100 / √64)

⇒ 700 ± 2.575( 12.5 )

⇒ 700 ± 32.1875

⇒ ( 700 - 32.1875 ), ( 700 + 32.1875 )

⇒ ( 667.81, 732.19 )

Therefore,  the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )

Answer:

One hundred thousand

Step-by-step explanation:

It would be one hundred thousand because 10*10*10*10*10 is 100,000, hence 100,000 would be, well, one hundred thousand.

Answer:

ten times ten times ten times ten times ten or one hundred thousand

Step-by-step explanation:

Answer:

33.30 units²

Step-by-step explanation:

Central angle = m<BCD = 106°

Radius (r) = 6 units

Area of sector BCD = central angle/360° × πr²

Plug in the values into the formula

Area of sector BCD = 106/360 × π × 6²

Area of sector BCD = 106/360 × π × 36

Area of sector BCD = 33.3008821

Area of sector BCD = 33.30 units² (nearest hundredth)

Answer:

n = 7

Step-by-step explanation:

Varies directly

w/n² = k

---------------------------

when n = 3, W = 117

k =117/3²

k = 117/9

k = 13

-------------------------

Find n when W = 637

637/n² = 13

637 /13 = n²

49 = n²

7 = n

Answer:

C(min)   =  8763.4 $

Step-by-step explanation:

Area =  24000 ft²

In a rectangle,    A =  x * y            x  is the base side and  y the height side

Cost of low and upper side   (x)  is 20 $ per foot

Cost of east and west sides  ( y)  is  10 $per ft

total cost is:

C(r)  =  2 * 20* x  +  2*  10* y

from  A =  x * y      y  =  A / x        y  =  24000 / x

And by substitution in C(r) we get:

C(x)  =   2 * 20* x  +  2*  10* 24000 / x

C(x)  =  40 * x  + 480000 / x

Tacking derivatives on both sides of the equation:

C´(x)  =  40  -  480000 / x²

C´(x)  =  0                40   -   480000/x²   = 0

40* x²  -  480000  = 0

x²  =  480000 / 40

x²  =  12000

x  =  √ 12000   =  109,54 ft

and  y  =  24000 / 109,54

y  =  219,09  ft

Chequing for second derivative

C´´(x)  =   480000 / x⁴     is always positive so we have a minimum of C at the value  x  =  109,54

Minimum cost C (min)  =  40* 109,54 +  20 * 219,09

C(min)   =  4381.6  +  4381.8

C(min)   =  8763.4 $