Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)

a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.

b
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5 -pound portions.

c
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5 -pound portions.

d
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

8hrs

Step-by-step explanation:

[tex] \frac{24}{3} \\ \\ [/tex]

Based on the information given, the number of hours that will be used will be 8 hours.

From the information given, the company estimates that a power line repair job will take a total of 24 person-hours and 3 workers are assigned to the job.

Therefore, the number of hours that will be used will be:

= 24 hours / 3

= 8 hours

Learn more about division on:

https://brainly.com/question/4320580

Answer:

1000

Step-by-step explanation:

Answer:

y = -1/2x + 4

Step-by-step explanation:

I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)

I got +4 because 4 is where x = 0, or the y intercept

I think it is the first one

Answer:

Keep it simple: part one. D, part two. C

Step-by-step explanation:

Answer:

$780

Step-by-step explanation:

15x60 = 900   900 - 120 = $780

Answer:

Step-by-step explanation: Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

p*(x)-((2*x^2-9*x+7)*(x-2))=0

STEP

1

:

Equation at the end of step 1

px - (((2x2 - 9x) + 7) • (x - 2)) = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 2x2-9x+7

The first term is, 2x2 its coefficient is 2 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is +7

Step-1 : Multiply the coefficient of the first term by the constant 2 • 7 = 14

Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is -9 .

-14 + -1 = -15

-7 + -2 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -2

2x2 - 7x - 2x - 7

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (2x-7)

Add up the last 2 terms, pulling out common factors :

1 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(x-1) • (2x-7)

Which is the desired factorization

Equation at the end of step

2

:

px - (2x - 7) • (x - 1) • (x - 2) = 0

STEP

3

:

Equation at the end of step 3

px - 2x3 + 13x2 - 25x + 14 = 0

STEP

4

:

Solving a Single Variable Equation:

4.1 Solve px-2x3+13x2-25x+14 = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

Supplement : Solving Quadratic Equation Directly

Solving 2x2-9x+7 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

5.1 Find the Vertex of y = 2x2-9x+7

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 2.2500

Plugging into the parabola formula 2.2500 for x we can calculate the y -coordinate :

y = 2.0 * 2.25 * 2.25 - 9.0 * 2.25 + 7.0

or y = -3.125

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = 2x2-9x+7

Axis of Symmetry (dashed) {x}={ 2.25}

Vertex at {x,y} = { 2.25,-3.12}

x -Intercepts (Roots) :

Root 1 at {x,y} = { 1.00, 0.00}

Root 2 at {x,y} = { 3.50, 0.00}

3 Solving 2x2-9x+7 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 2

B = -9

C = 7

Accordingly, B2 - 4AC =

81 - 56 =

25

Applying the quadratic formula :

9 ± √ 25

x = —————

4

Can √ 25 be simplified ?

Yes! The prime factorization of 25 is

5•5

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 25 = √ 5•5 =

± 5 • √ 1 =

± 5

So now we are looking at:

x = ( 9 ± 5) / 4

Two real solutions:

x =(9+√25)/4=(9+5)/4= 3.500

or:

x =(9-√25)/4=(9-5)/4= 1.000

Answer:

d. $16.

Step-by-step explanation:

3 members (m) + 4 nonmembers (n) = $79

nonmembers = $11 more or n=m+11 so...

3m + 4(m+11)=79   [replace "n" with "m+11"]

3m + 4m + 44=79

7m + 44 = 79

7m=35 and reduced m=5 so members pay $5 and nonmembers pay 5+11=$16

Answer:

2[tex]\frac{9}{25}[/tex]

Step-by-step explanation:

because it is a good answer

Answer:

y=x-2

Hope this helps.

Answer:

−

3

(

1

+

4

)

=

3

3

Step-by-step explanation:

Answer:

1: -3

2: 24

3: 10

4: 5

5: -7

6: 8

7: 2

Step-by-step explanation:

hope this helps:)

Answer:

A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers

Step-by-step explanation:

4 different vehicles,

2 different paints,

2 different seats.

Total number of combinations = 4 * 2 * 2 = 16.

Answer:

-6

Step-by-step explanation:

Answer:

let the wages of men and boys be x and y respectively

then

5x+6y = 114

7x + 8y = 157

multiplying equation first by  4 and second by three and subtracting equations

20x + 24y = 456

21x + 24y =471

-x = -15

x= 15 men wages

substituting value of x in equation

5x + 6y = 114

5*15 + 6y = 114

6y = 114 -75

6y = 39

y = 6.5 each boys wages

Step-by-step explanation:

Answer:

$16.80

Step-by-step explanation:

Since the shirts are marked down by 30%, you need to multiply the cost of the shirt by the percentage.

$24 × 0.3 = $7.20

Next, subtract the discount from the original price to find the discounted price.

$24 - $7.20 = $16.80

Answer: i think they are all the exact same 6 with a remainder of 1

Step-by-step explanation:

Answer:

0.064

Step-by-step explanation:

Hope this helps!

Answer:

Her raise per hour is $3.

Step-by-step explanation:

Quadratic Equation

The standard representation of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

It can be solved by using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.

She must solve the equation:

[tex]x^2-6x+9=0[/tex]

The solution to the equation is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]

Since the square root is 0, there is only one solution:

[tex]\displaystyle x=\frac{6}{2}=3[/tex]

x = 3

Thus, her raise per hour is $3.

Answer:

y = 64

Step-by-step explanation:

The angles are supplementary, that is sum to 180° , thus

2(x + 6) + y = 180 ← substitute x = 52

2(52 + 6) + y = 180

2(58) + y = 180

116 + y = 180 ( subtract 116 from both sides )

y = 64

Answer:

I'm pretty sure its the 3rd answer

Answer:C

Step-by-step explanation:

For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares

Answer:

2 and 5............................

Answer:

Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)

Step-by-step explanation:

Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.

Answer:

30%

Step-by-step explanation:

3.25 minus 2.50 equals 0.75. 0.75 is 30 percent of 2.50.