Write this in standard notation: 3.812 x 10^7

Answer:

2/3   in

Step-by-step explanation:

We can use ratios to solve this problem.

1/4 inch               x inches

--------------    = ---------------------

3 /8 ft                      1 ft

Using cross products

1/4 * 1 = 3/8 * x

Multiply each side by 8/3 to isolate x

1/4 * 8/3  = 3/8*8/3 x

2/3 = x

Answer:

Its C. 25

Step-by-step explanation:

I just divided 100 by 4

4x = 100      divide both sides by 4

x = 25 → c.

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

5x = 25     divide both sides by 5

x = 5 → c.

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

3x + 5 = 17       subtract 5 from both sides

3x = 12      divide both sides by 3

x = 4 → a.

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

3x + 14 = 11      subtract 14 from both sides

3x = -3     divide both sides by 3

x = -1 → b.

Answer:

Option c is correct option

it  will be about 5.6 weeks until 50 percent of the campus is watching the show

Step-by-step explanation:

we are given

w(x)=[tex]x+125^{\frac{1}{3} }[/tex]

w(50)=[tex]50+125^{\frac{1}{3} }[/tex]

w(50)=[tex]175^{\frac{1}{3} }[/tex]

w(50)=[tex]\sqrt[3]{175}[/tex]

w(50)=5.59

we have to convert it  into one decimal form

5.59=5.6

hence option c is correct option.

Computing w(50) using the provided function yields a value of approximately 5.6, which means it will take about 5.6 weeks for 50 percent of the campus to start watching the student-produced reality show. Thus, the correct answer to the student's question is option (C).

To compute w(50) based on the given function [tex]w(x)=(x+125)^{(1/3)}[/tex], we substitute x with 50:

[tex]w(50) = (50+125)^{(1/3)}[/tex]

Calculate the value inside the parenthesis:

[tex]175^{(1/3)}[/tex]

Taking the cube root of 175 gives us approximately:

5.6

Thus, w(50) ≈ 5.6, and we can interpret this in context by stating:

It will be about 5.6 weeks until 50 percent of the campus is watching the show.

This means the correct answer from the provided options is C. It takes approximately 5.6 weeks for the reality television show produced by the students to reach a viewership of 50 percent of the campus.

Answer:

1:26.25

Step-by-step explanation:

Scale = 16 in:35 ft

Convert 35 ft to inches

1 ft = 12 in

35 × 12/1 = 420 in

Scale = 16 in:420 in     Divide each term by 16

Scale =      1:26.25

The scale used to create the blueprint for Mr. Willis's dock is 1:26.25, meaning that each inch on the blueprint represents 26.25 inches of the actual dock.

The actual dock is 35 feet long, and there are 12 inches in a foot, so the dock is 35 feet × 12 inches/foot = 420 inches long. The blueprint shows the dock as 16 inches long. Therefore, we use the scale factor formula:

scale factor = blueprint length / actual length

The scale factor is 16 inches / 420 inches, which simplifies to 1/26.25. Thus, the blueprint is drawn at a scale of 1:26.25, meaning that 1 inch on the blueprint represents 26.25 inches in the actual size.

Answer:

b = sqrt(11)

Step-by-step explanation:

Using the Pythagorean theorem

a^2 + b^2 = c^2

and substituting what we know

5^2 + b^2= 6^2

25 + b^2 = 36

Subtract 25 from each side

25-25 + b^2 = 36-25

b^2 = 11

Take the square root of each side.

sqrt(b^2) = sqrt(11)

b = sqrt(11)

We only take the positive because length must be positive.

Use the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex]

a,b - legs

c - hypotenuse

We have c = 6 and a = 5. Substitute:

[tex]5^2+b^2=6^2[/tex]

[tex]25+b^2=36[/tex]     subtract 25 from both sides

[tex]b^2=11\to \boxed{b=\sqrt{11}}[/tex]

Answer: 2 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:The algebraic equation is 24/6*3 which will give you 12 pounds

Answer:

Equation

2x = 24

Step-by-step explanation:

3 pounds of peaches cost $6

so each pound = $6/3 = $2

so if you have $24 then $24/ 2 = 12 pounds

Let x = # of pounds of peaches

Equation

2x = 24

Answer:

108

Step-by-step explanation:

Givens

Equation

Solution

Answer

Comment

This is a very tricky problem. It is not the usual way that 3 part ratios are handled. Thanks for posting.

Answer:

The answer is A

Step-by-step explanation:

When two parallel lines are crossed by another line the angle of 1 will be equal to 4, 5, and 8. The angle 2 will be equal to 3, 6, and 7. Since a straight line has a degree of 180, the subtracted degree of 180-140=40 which would mean 2=40 which 2=6 so 6=40.

Answer:

40°, A

Step-by-step explanation:

What are we going to do to figure out measure 6?

First of all, we know that measure 5 and measure 6 are equal to 180 degrees.

Second of all, we know that measure 1 and measure five are corresponding angles, which means they are congruent. If measure one is 140 degrees, measure 5 would also be 140 degrees.

So we know that measure 5 and measure 6 are equal to 180 degrees. We can now make an equation...

Let x = measure 6

Answer:

A) y=2x-3

Step-by-step explanation:

I looked at the first 2 points that were perfectly on the x and y axis, so (3,3) and (5,7). I then put the numbers into their correct spots. When they were plugged in, both of the answers came back correct, so that is the correct equation.

Answer:

A. y=2x-3

Step-by-step explanation:

Since we have it in slope intercept form y=mx+b.  B is our y intercet which we know is -3. Next we can find the slope which rise over run.  This gives up 2 and our answer.

3c(c+3)-4(c+3)=3c^2+9c-4c-12=3c^2+5c-12

The expression in complete factored form is (3c - 4)(c + 3)

A complete factored form is a form of expressing a complex polynomial expression as the products of factors of the polynomial. If we equate the complete factored expression with zero, we get the solutions of the polynomial expression.

The expression given is [tex]3c(c + 3) - 4(c + 3)[/tex]

Expanding the given expression  [tex]3c^{2} + 9c - 4c - 12[/tex]

= [tex]3c^{2} + 5c - 12[/tex]

= [tex]3c^{2} + 9c - 4c - 12[/tex]

= [tex]3c(c + 3) - 4(c + 3)[/tex]

= [tex](3c - 4)(c + 3)[/tex]

Thus the expression in complete factored form is (3c - 4)(c + 3)

To learn more how to write the expression in complete factored form, refer:

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Answer:

The quotient is (x+7)

Step-by-step explanation:

Given the synthetic division problem

2|1    5    -14

we have to complete the synthetic division to find the quotient.

The steps are

Step 1: Set up the synthetic division

Step 2: Bring down the leading coefficient to the last row.

Step 3: Multiply the value which is written on the top left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

The quotient is (x+7)

Option D is correct

Statement 1: AM is the midpoint of AB

Reason 1: Given

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

Statement 2: AM+MB = AB

Reason 2: Segment Addition Postulate

Further explanation: Basically this idea is where you can break up the line segment into smaller pieces, or glue smaller segments to form a larger segment.

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

Statement 3: AM = MB

Reason 3: Definition of midpoint

Further explanation: The midpoint cuts a line segment in half. The two smaller pieces AM and MB are congruent (ie equal in length)

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

Statement 4: AM + AM = AB

Reason 4: Substitution

Further explanation: We replace the MB in statement 2 with AM. This replacement is possible because of the equation AM = MB in statement 3.

This concludes the proof.

Answer:

2(11-5)+9÷3 = 15

Step-by-step explanation:

the correct answer is: 15

To Solve:

11 - 5 = 6

6 x 2 = 12

9 / 3 = 3

12 + 3 = 15

The value of the expression is; 15

The given expression is; 2(11-5)+9÷3

By first solving the expression within the parenthesis, and then the division operator ; we have;

By taking care of the parenthesis; we have;

Read more on arithmetic expressions;

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Answer:

D YEET

Step-by-step explanation:

Answer:

the awnser is c

Step-by-step explanation:

the c

Answer:

Its C

Step-by-step explanation:

I got a 100% on the test

Answer:

3/8 gallons left

Step-by-step explanation:

she has 0.75 of a gallon

she eats 0.5(0.75) while watching TV

multiply 0.5 by 0.75 to get half of 3/4 of a gallon

0.375 of a gallon is what she has left

or 3/8 of a gallon

Answer:

It should be 12 because:

31.8 - 22.2 = 9.6

9.6 ÷ 0.8 = 12

Answer:

The hula hoop rolls 879 \text{ cm}879 cm.

Step-by-step explanation:

Answer:

Point slope form of the line is  [tex]y-10=2(x-3)[/tex]

Step-by-step explanation:

The point-slope form of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

Where,

The question tells us the slope is 2, hence [tex]m=2[/tex] and the point given is (3,10) which means [tex]x_1=3[/tex] and [tex]y_1=10[/tex]. Substituting these values into the point slope form of a line gives us:

[tex]y-(10)=2(x-(3))\\y-10=2(x-3)[/tex]

Hence, point slope form of the line is  [tex]y-10=2(x-3)[/tex]

Answers:

Gabe needs 30 liters of the 50% solution

Gabe needs 30 liters of the 70% solution

Both answers are 30

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

Explanation:

We have two beakers, each of which we don't know how much is inside. Let's call this x and y

x = amount of liquid in the first beaker (water+acid)

y = amount of liquid in the second beaker (water+acid)

We're told that the beakers have a 50% solution and a 70% solution of acid. This means that the first beaker has 0.5*x liters of pure acid, and the second beaker has 0.7*y liters of pure acid. In total, there is 0.5x+0.7y liters of pure acid when we combine the two beakers. This is out of x+y = 60 liters total, which we can solve for y to get y = 60-x. We will use y = 60-x later on when it comes to the substitution step

We can divide the total amount of pure acid (0.5x+0.7y liters) over the total amount of solution (x+y = 60) to get the following

(0.5x+0.7y)/(x+y) = (0.5x+0.7y)/60

We want this to be equal to 0.6 because Gabe wants a 60% solution when everything is said and done, so

(0.5x+0.7y)/60 = 0.60

0.5x+0.7y = 0.60*60 .... multiply both sides by 60

0.5x+0.7y = 36

0.5x+0.7( y ) = 36

0.5x+0.7(60-x) = 36 ........ replace y with 60-x (substitution step)

0.5x+0.7(60)+0.7(-x) = 36 .... distribute

0.5x+42-0.7x = 36

-0.2x+42 = 36

-0.2x = 36-42 .... subtract 42 from both sides

-0.2x = -6

x = -6/(-0.2) .... divide both sides by -0.2

x = 30

He needs 30 liters of the 50% solution

Use this x value to find y

y = 60-x

y = 60-30

y = 30

So he needs 30 liters of the 70% solution

Answer:

Let t represents for ticket and l represents for lunch.

As per the given statement: Dan bought 3 ticket refills and a lunch for $10.35

then, we have

[tex]3t + l = \$10.35[/tex]

Also, it is given that Bob bought 2 ticket refills and the lunch for $8.35.

⇒[tex]2t + l = \$8.35[/tex]

(a)

System of an equations are:

[tex]3t + l = \$10.35[/tex]

[tex]2t + l = \$8.35[/tex]

(b)

Let x-coordinate represents ticket refills and y-coordinates represents lunch

You can see the graph of the given equation as shown below in the attachment.

(c)

To find the cost of each items;

Using graph to estimate the cost of each items;

then;

Cost of ticket refills(t) = $2

and

Cost of lunch(l) = $4.35

Answer:

10,300?

Step-by-step explanation:

Answer:

I is the √-1 so it would be √-2 as your answer

Step-by-step explanation:

If the value of i = [tex]\sqrt{1}[/tex] then value of i² = 1.

When we raise numbers to powers they  are either called surds when we raise powers which are greater than zero but less than 1 in fraction from.

We call indices when we raise powers to which are greater than 1.

Indices make the base larger after simplification and surds make the bases smaller after simplification.

According to the given question i = [tex]\sqrt{1}[/tex].

∴ The value of i² is i×i = [tex]\sqrt{1}[/tex] × [tex]\sqrt{1}[/tex] = [tex]1^\frac{1}{2}[/tex] × [tex]1^\frac{1}{2}[/tex] = [tex]1^[\frac{1}{2}+\frac{1}{2}][/tex] = 1¹ = 1.

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For this, simply set up a proportion. If 12 oz. costs $3.60, then this means $3.60 per oz, or [tex]\frac{3.6}{12}[/tex]. Now letś make a proportion for 20 oz. Itś asking for how much it would cost if the unit price was the same, which means that the two should have a similar ratio. Because we don´t know how much it costs yet, this means x dollars for a 20 oz. bottle, or [tex]\frac{x}{20}[/tex]. I´ve already mentioned that they two are proportional, so write [tex]\frac{3.6}{12} = \frac{x}{20}[/tex].

To solve, cross multiply.

⇒[tex]12*x=3.6*20[/tex]

⇒[tex]12x=72[/tex]

Isolate variable x.

⇒[tex]\frac{12x}{12} = \frac{72}{12}[/tex]

⇒ x = 6: $6.00 for 20 ounces of soda.

Checking your work:

3.6/12 = 0.3

6/20 = 0.3

This means that theyŕe proportional, and that your answer is correct. Hope this was helpful.

Answer:

Step-by-step explanation:

Answer:

(x, y ) = (5, 4 )

Step-by-step explanation:

given the 2 equations

3x - 2y = 7 → (1)

- 3x + 5y = 5 → (2)

adding the 2 equations term by term will eliminate x

(3x - 3x) + (- 2y + 5y ) = (7 + 5 )

0 + 3y = 12

3y = 12 ( divide both sides by 3 )

y = 4

substitute y = 4 in either of the 2 equations and solve for x

(1 ) : 3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

solution is (5 , 4 )

Answer:

b

Step-by-step explanation:

add 3 and 8 = 11

Answer:

The answer is A

Hoped it helped <3 tell me if I am wrong

Step-by-step explanation:

Answer:

a ) 400 percent

b )  n = 25

c)  n= 36

Step-by-step explanation:

Is means equals, of means multiply and percents need to be changed to decimals.

a) 120 is what percentage of 30

120 = P * 30

Divide each side by 30

120/30 =P* 30/30

4 = P

Multiply by 100 to give the percentage

4 * 100

400 percent

b) 30 is 120% of what number

30 = 1.2 * n

Divide each side by 1.2

30/1.2 = 1.2n/1.2

25  = n

c) what number is 30%of 120

n = .3 * 120

n =36

Answer:

The length of each side is 2.5 m

Step-by-step explanation:

A cube has a volume of 15.625 m^3 of hay

We want to find the length of one side

V= s^3 where s is the length of one side

15.625 = s^3

Take the cube root of each side

15.625 ^ (1/3) = s^3 ^(1/3)

15.625 ^ (1/3) = s

2.5 = s

The length of each side is 2.5 m