A bakeware company is designing a prototype for a new cake pan. The pan needs to have a height of 1.5 inches so that the cake layer will be the correct height. The length of the pan should be six inches less than twice the width. The designer used a computer program to build the basic design shown below.



Write an equation that the designer can use to determine the volume of cake batter that can fit in the pan, V, in cubic inches, in terms of the width, w, in inches.

A.
V = 2w2 − 6w
B.
V = 3w2 − 9w
C.
V = 1.5w2 − 9w
D.
V = 0.75w2 + 4.5w

Answer: the orange juice

Step-by-step explanation:

You would have to dived to get you the fractions to get 4 divide by 3 and you would get 1.33

Step-by-step explanation:

0.5% of w is 12 is what they are asking

0.5% of w = 12. Only the first answer has the equation equal to 12, so the first part is

\(12 = 0.005 \times w\)

Now to solve it, we want to get W alone, we can do that by dividing 0.005 on both sides. Since right now it's being multiplied we must do the opposite

\(w = \frac{12}{0.005} = 2400\)

Answer:

0.5% of w is 12 is what they are asking0.5% of w = 12. Only the first answer has the equation equal to 12, so the first part isNow to solve it, we want to get W alone, we can do that by dividing 0.005 on both sides. Since right now it's being multiplied we must do the opposite

Step-by-step explanation:

Answer: hope this helps ♡

7

Step-by-step explanation:

f = 3

7 + 4 + f^2 - 5f + 2

= 7 + 4 + 3² - 5*3 + 2

= 7 + 4 + 9 - 15 + 2

= 20 - 15 + 2

= 5 + 2

= 7

Answer:

36 ways

Step-by-step explanation:

there are 6 numbers that are on that dice

so 6 times 6 is 36

which means that there are 36 ways to obtained the results

hope this makes sense

Answer:

306

Step-by-step explanation:

6² = 36

36 - 2 = 34

Since 5+1+3 is in parenthesis, it comes before multiplication (remember PEMDAS or Order of Operations)

5+1+3 = 9

34 x 9 = 306

    Answer:

306

Step-by-step explanation:

6² = 36

36 - 2 = 34

Since 5+1+3 is in parenthesis, it comes before multiplication (remember PEMDAS or Order of Operations)

5+1+3 = 9

34 x 9 = 306                                                                 

Answer:

D

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

Answer:

8

Step-by-step explanation:

anything times 1 is always going to be that number like how 8x1 was 8 ANYTHING times the number of 1 is never going to be anything else.

Number of red marbles pulled = 8

Number of blue marbles pulled = 8

Total marbles pulled = 25

Relative Frequency = Total Frequency / Total number of data values

Relative Frequency of red marble = 8/25

                                                         = 32%

Relative Frequency of blue marble = 8/25

                                                         = 32%

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Mark BRAINLIEST

Answer:1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Una vez que los grafica, suma todos los números y luego divide por el número total de puntos en tu gráfico.

Step-by-step explanation:

Answer:

15 meters per sec

Step-by-step explanation:

I can't see the picture, so sorry, i wish i could help:((((((((

Answer:

8

Step-by-step explanation:

area = bh/2

32.4 yd² = 8.1 yd × s / 2

s = 8 yd

Answer:

0.35

Step-by-step explanation:

You need to do this by turning all of those into a decimal and then add them up!

Answer:

The height is 5.6 units.

Step-by-step explanation:

The height can be calculated using this formula

\(h=\sqrt{a^2-\frac{b^2}{4} }\)

Let \(a\) be the base of the triangle along the horizontal.

Let \(b\) be the side of the triangle.

In an isosceles triangle has 2 sides that are equal in length.

Numerical Evaluation

In this example we are given

\(a=6\\b=3\sqrt{2}\)

Substituting our values into the equation gives us

\(h=\sqrt{6^2-\frac{\left(3\sqrt{2} \right) ^2}{4} }\)

Lets solve for \(h\).

Evaluate \(6^2\).

\(h=\sqrt{36-\frac{\left(3\sqrt{2} \right) ^2}{4} }\)

Apply the product rule to \(3\sqrt{2}\).

\(h=\sqrt{36-\frac{3^2\sqrt{2}^2 }{4} }\)

Evaluate \(3^2\).

\(h=\sqrt{36-\frac{9\sqrt{2}^2 }{4} }\)

Rewrite \(\sqrt{2}^2\) as \(2\).

\(h=\sqrt{36-\frac{9*2 }{4} }\)

Evaluate \(9*2\).

\(h=\sqrt{36-\frac{18 }{4} }\)

Factor \(2\) out of \(18\) and \(2\) out of \(4\).

\(h=\sqrt{36-\frac{2(9) }{2(2)} }\)

Cancel the common factor of \(2\).

\(h=\sqrt{36-\frac{9 }{2} }\)

To write \(36\) as a fraction with a common denominator, multiply by \(\frac{2}{2}\).

\(h=\sqrt{36*\frac{2}{2} -\frac{9 }{2} }\)

Combine the numerators over the common denominator.

\(h=\sqrt{\frac{36*2-9}{2}\)

Multiply \(36\) by \(2\) then subtract \(9\).

\(h=\sqrt{\frac{63}{2} }\)

Evaluate \(\sqrt{\frac{63}{2} }\).

\(h=5.6125\)

Round to nearest tenth.

\(h=5.6\)

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Answer:

The bus will take less consumption and by 60 litre

Bus uses less gasoline by 601.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Case 1: Bus

Consumption/ 100Km= 301

and, for 250 Km= 301 /100 x 250

                          = 751

Case 2: Car

Total = 80 people

Total cars= 30/5 = 6

Consumption/ 100Km= 91

and, for 250 Km= 91 /100 x 250

                          = 22.51

Consumption by 6 cars = 6 x 22.51 = 1351

Difference between Gasoline Consumption = 1351-751 = 601

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Step-by-step explanation:

5 students in choir <=> 1 student in band

If there are 47 students in band =>

47×5 = 235 students in choir (B)

Answer:

235 (Option B)

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

\(\boxed {Use \: \: unitary \: \: method \: \: to \: \:solve \: \: this \: \: question}\)

5 students in choir ⇔ 1 student in band. It can be also written as :-

⇒ 1 student in band ⇔ 5 students in choir

⇒ (1 × 47) students in band ⇔ (5 × 47) students in choir

⇒ 47 students in band ⇔ 235 students in choir.

CONCLUSION :-

There are 235 students in the choir.

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer:

CBD= 30

ABC= 90-30 = 60

x + 5 = 60

x= 55

Step-by-step explanation:

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Answer:

$120.45

Step-by-step explanation:

yeah-ya..... right?

Answer:

32y

Step-by-step explanation:

0xy=0

If you change x or y on any number, you will get 0: 5*0=0, 100*0=0

So, 0+32y = 32 y