A dairy farmer ideally produces 800 gallons of milk per day. This total can fluctuate by as much as 40 gallons in either
direction. What is the maximum and minimum expected daily production?

Answer: l = 7.2

Step-by-step explanation:

90/12.5 = 7.2

7.2 * 12.5 = 90

Answer:

length of the rectangle is 7.2 centimeters.

Step-by-step explanation:

Area of the rectangle has been given as 90 square centimeters.

Height of the rectangle = 12.5 centimeters

Now we have to calculate the length of the rectangle.

Since, Area of the rectangle = Length × height

90 = 12.5 × length

Length = [tex]\frac{90}{12.5}[/tex]

           = 7.2 centimeters

Therefore, length of the rectangle is 7.2 centimeters.

Answer:

9/4 lbs (= 2 1/4 lbs)

Step-by-step explanation:

given original amount of chicken is 4 1/2 lbs ( = 9/2 lbs)

for half the recipe, we need half the amount of chicken

= 9/2 lbs x 1/2

= 9/4 lbs (= 2 1/4 lbs)

Answer:

x = - 2, x = 4

Step-by-step explanation:

Given

f(x) = (x - 4)(x + 2)

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0 ← in standard form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4 → (4, 0 )

x + 2 = 0 ⇒ x = - 2 → (- 2, 0 )

Answer:  Commutative Property of Multiplication

Step-by-step explanation:

Commutative property is when two terms trade places.

(a · 3) × b = b × (a · 3)

Notice that (a · 3) switched places with b

dang this is hard for me, let me think

Answer:

12

Step-by-step explanation: 282 divided by 94 = 3

4x3=12

Answer:

12 defective widgets

Step-by-step explanation:

Here we calculate the "experimental probability:" 4 defective widgets out of 94 widgets comes out to a probability of being defective of 4/94, which of course could be reduced.

But we can go ahead and calculate the expected number of defective widgets by mult. that 282 widgets by the probability 4/94:

282        4

------- * ------- = 12

   1         94

In this sample of 282 widgets, we could expect that 12 will be defective.

The solutions to the quadratic equation 3x^2 - 7x - 1 = 0, using the quadratic formula, are x = [7 + sqrt(61)]/6 and x = [7 - sqrt(61)]/6.

This question pertains to the solving of a quadratic equation using the quadratic formula. The quadratic formula is given by x = [-b ± sqrt(b^2 - 4ac)]/2a. In equation 3x^2 - 7x - 1 = 0, comparing it with the standard form of quadratic equation ax^2 + bx + c = 0, we can assign: a = 3, b = -7, and c = -1. Substituting these values into the formula, we get: x = [7 ± sqrt((-7)^2 - 4*3*(-1))]/2*3 = [7 ± sqrt(49 + 12)]/6 = [7 ± sqrt(61)]/6. So, the solutions to the equation are x = [7 + sqrt(61)]/6 and x = [7 - sqrt(61)]/6.

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Answer:

Step-by-step explanation:

31 - 12n = 21l              Subtract 31 from both sides.

31-31-12n =211-31       Do the subtraction

-12n = 190                  Divide by -12

-12n/-12 = 190/-12

n = -15.333333

Answer:

14.5

Step-by-step explanation:

Employ the SOH CAH TOA rule here.

So here you do Sin 65= x/16

solve for X you get 14.5

Answer:

-x/4-3=x

Step-by-step explanation:

Answer:

-12/5

Step-by-step explanation:

-x/4-2=x+1

-x/4-x-2=1

-x/4-x=1+2

-x/4-x=3

-1/4x-4/4x=3

-5/4x=3

x=3/(-5/4)

x=(3/1)(-4/5)

x=-12/5

97

10 times 4 is 40 40 plus 57 is 97

Answer: 97

Step-by-step explanation:

1. Take your $10 and multiply it by the four hours she babysits. --> 10•4=40

2. Take the answer you just received from the multiplication problem, 40, and add it by the amount of money she had in her account, $57.    -->40+57=97

I hope this helps you!

Answer:

D = 60,000,000,000

Step-by-step explanation:

When "E" appears on a calculator , it means exponential and it is used to denote numbers that are too big or small to appear on the calculator screen in their decimal form.

Therefore 6E-10 means 6 exponential 10 , mathematically written as  6^10

which is 60,000,000,000

Answer:

36, 28, 20

Step-by-step explanation:

To find the three terms of each sequence, simply subtract 8 from each number. For an example, you can notice the pattern by subracting 52 from 60. The answer I recieved was 8. That shows that the pattern is to subtract 8 from the following number.

Hope this helped :)

Answer:68

Step-by-step explanation:each is by 8 so add 8 onto each number to find the total

3/15 is equivalent to 4/20

Answer:

a relation in which for every input there is exactly one output (for every x there is just one y)

Step-by-step explanation:

since you didn't give what was supposed to be a mapping function or not thats the best i can do

Answer:

Step-by-step explanation:

40%=0.4

0.4*25=10

To calculate 40 percent of 25, you use the equation 0.40 x 25. This equation multiplies the decimal form of 40 percent by the total, which in this case is 25, resulting in the value of the part that represents 40 percent.

To find 40 percent of 25, you can use the equation that incorporates the base value (25) and the percentage you want to find (40%). In this case, the equation you're looking for is 0.40 x 25, which will give you the answer for what is 40 percent of 25.

Percentages can be calculated by using the formula: 'part over total, times one hundred, equals percent'. For example, if you have 25 students and want to find out what 40% of that number is, you would calculate 40/100, which is 0.40, and multiply by 25. The equation 0.40 x 25 is thus used to solve for the desired percentage.

The offered overtime hourly rate is 1.5 times the given hourly rate.

The amount Colin Katz earns per hour = $10.75

The number of additional hours Colin Katz is asked to work = 2 hours

Rate at which the additional hours will be paid = Hourly rate and half = 1.5 hourly rate

The amount he will earn for the additional hours.

The hourly rate for the additional hours = 1.5 × $10.75 = $16.125

Amount Colin Katz earns working 2 additional hours = 2 × $16.125 = $32.25

The amount he will earn for the two hours overtime = $32.25

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Answer:

55°

Step-by-step explanation:

Draw the diagram according to the given data (see attached diagram).

In this diagram,

Note that ∠GCH=35°

Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.

Angles CDI and BDE are vertical angles, so angles  CDI and BDE are congruent as vertical angles.

Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so

m∠BED=90°-m∠BDE

m∠BED=90°-35°=55°

Answer: -1/2

as in negative one over two

Step-by-step explanation:

Answer:

4[tex]\sqrt{37}[/tex]

Step-by-step explanation:

Since the figure is a square, find the length of 1 side and multiply by 4 for perimeter.

Calculate the length of AB using the distance formula.

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(3, 4) and (x₂, y₂ ) = B(2, - 2)

AB = [tex]\sqrt{(2-3)^2+(-2-4)^2}[/tex]

     = [tex]\sqrt{(-1)^2+(-6)^2}[/tex]

     = [tex]\sqrt{1+36}[/tex]

     = [tex]\sqrt{37}[/tex]

Hence

perimeter = 4AB = 4[tex]\sqrt{37}[/tex]

Answer:

4 root 37units

Step-by-step explanation:

gl on the exam

Answer:

(1) a+-+8+=+5%2A%28b+-+8%29

(1) a+-+8+=+5b+-+40

(1) 5b+-+a+=+32

and

(2) a+-+5+=+3%2A%28b+-+5%29

(2) a+-+5+=+3b+-+15

(2) 3b+-+a+=+10

Subtract (2) from (1)

(3) 2b+=+22

(3) b+=+11

Substitute this back in (1) or (2)

(1) 5%2A11+-+a+=+32

(1) a+=+55+-+32

(1) a+=+23

Carole is 23 and Carl is 11

Step-by-step explanation:

Expressions can be split into equivalent expressions by factoring them.

The expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]

The expression is given as:

[tex]\mathbf{9b + 21}[/tex]

Express each term as a product of 3 (the GCF)

[tex]\mathbf{9b + 21 = 3 \times 3b + 3 \times 7}[/tex]

Factor out 3

[tex]\mathbf{9b + 21 = 3 (3b + 7)}[/tex]

Hence, the expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]

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let's bear in mind that we have two fractions whose denominators are 2 and 4, thus their LCD will be 4, now let's multiply both side by that LCD to do away with the fractions, but let's add some first.

[tex]\bf 2-\left( 4-\cfrac{1}{2}x \right)=6\left( \cfrac{1}{4}x-1 \right)\implies 2- 4-\cfrac{x}{2} =\cfrac{6x}{4}-6 \\\\\\ -2-\cfrac{x}{2} =\cfrac{6x}{4}-6\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( -2-\cfrac{x}{2} \right)=4\left( \cfrac{6x}{4}-6 \right)}\implies -8-2x=6x-24 \\\\\\ 16-2x=6x\implies 16=8x\implies \cfrac{16}{8}=x\implies 2=x[/tex]

Answer: 2/3^3

Step-by-step explanation:

To find the volume of a box, you use the formula, Lenth*Width*Height=Volume

The Lenth is 3 1/2. The width is 1 1/3 and the height is 2/14

Plug the values in formula

3 1/2*1 1/3*2/14

Covert the mixed numbers into imporper fractions so it is easier to solve

3 1/2=7/2

1 1/3=4/3

7/2*4/3*2/14

Reduce 2/14

2/14=1/7

7/2*4/3*1/7=7*4*1/(2*3*7)=28/42

Reduce 28/42=14/21=2/3

2/3 ft^3

Answer:

x = 13.

So the 3 angles are a =  44, b = 47 and c = 89 degrees.

Step-by-step explanation:

If these are the angles  are the 3 angles of a triangle they sum to 180 degrees, so:

3x + 5 + 5x - 18 + 7x - 2 = 180

15x - 15 = 180

15x = 195

x = 195/15

x = 13.

To find the values of angles a, b, and c given by the expressions 3x + 5, 5x - 18, and 7x - 2, we set up and solve equations involving these expressions. Once we find the value of x, we substitute it back into the expressions to find the angles.

The question asks about angles given by the expressions a= 3x + 5, b= 5x - 18, and c= 7x - 2. In order to find the values of x and the corresponding values of angles a, b, and c, we need to set up and solve equations involving these expressions.

We can equate these expressions to given angles or to each other, and solve for x. Once we find the value of x, we can substitute it back into the expressions to find the angles.

For example, to find angle a, we substitute the value of x into the expression 3x + 5. Similarly, we substitute the value of x into the expressions 5x - 18 and 7x - 2 to find angles b and c, respectively.

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Answer:

2.25

Step-by-step explanation:

You have to subtract 2.13 from 4.38

Example: 4.38-2.13

Answer:

3√5 or ≈6.7082

Step-by-step explanation:

1) √45

2) Factor out the perfect square: √3²×5

3) The root of a product is equal to the product of the roots of each factor: √3²√5

4) Reduce the index of the radical and exponent with 2: 3√5

5) Solution: 3√5 or ≈ 6.7082

after removing the perfect square factor from inside the square root of 45, we are left with 3√5.

To remove all perfect squares from inside the square root of √45, we need to factorize 45 and separate the perfect square factors.

The prime factorization of 45 is 3 × 3 × 5. Since 3 is repeated twice, it represents a perfect square factor.

We can rewrite the square root of 45 as the square root of (3 × 3 × 5). Using the property of square roots (√ab = √a × √b), we can simplify it as √(3 × 3) × √5.

The square root of 3 × 3 equals 3, so the expression simplifies to 3√5.

Therefore, after removing the perfect square factor from inside the square root of 45, we are left with 3√5.

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Answer:

y intercept (0,490)

I would use (Graphing equation standard form) to identify x and y intercepts. I will Plot the y intercept (0,490) and the x intercept (735,0)

,It will Connect the two intercepts with a straight line

2x + 3y = 1,470

3y = -2x + 1470

y = (-2x + 1470 ) / 3

y = -2/3 * x + 1470/3

y = -2/3 * x + 490

slope is -2/3

y intercept is 490

x intercept (735,0)

Step-by-step explanation:

Answer:

[tex]2x+3y=1470[/tex]

Step-by-step explanation:

Givens

So, [tex]x[/tex] represents the number of sandwiches and [tex]y[/tex] represents the number of wraps, so the profit on each food is

[tex]2x[/tex] and [tex]3y[/tex], so the sum of them must be equal to $1470, as follows

[tex]2x+3y=1470[/tex]

Which is a linear equation, that means if we graph, it would be a line.

To graph this, we just need to find two points.

For [tex]x=0[/tex], let's find [tex]y[/tex]

[tex]2x+3y=1470\\2(0)+3y=1470\\y=\frac{1470}{3}=490[/tex]

For [tex]y=0[/tex]. let's find [tex]x[/tex]

[tex]2x+3y=1470\\2x+3(0)=1470\\x=\frac{1470}{2}=735[/tex]

Therefore, the two points to graph the line are [tex](0,490)[/tex] and [tex](735, 0)[/tex]. Now, we graph these coordinates and draw a line that must cross them

The resulting graph should be like the image attached.

Answer:

4)

Step-by-step explanation:

Because they just added the same equality. And when you move the -7 over the equal sign it makes it positive so it would be p^2 + 5 + 7 = 8p and that makes it p^2 + 12 = 8p

The property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.

Given to us

When solving p^2 + 5 = 8p - 7.

Kate wrote p^2 + 12 = 8p.

As we can see Kate has simply added the number one, therefore, she had used the addition property of equality.

[tex]p^2 + 5 = 8p - 7\\\\p^2+5+7=8p\\\\p^2 + 12=8p[/tex]

Hence, the property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.

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