Joe worked 6 hours and packed 19 cartons. Bob worked 4 hours and packed 13 cartons. Who packed the most cartons per hour?

Answer:

  1 9/40

Step-by-step explanation:

Any calculator can tell you the sum is ...

  1 + 2/16 + 0.6 - 1/2 = 1.225

The decimal fraction can be reduced, if you like:

  225/1000 = (25)(9)/(25(40)) = 9/40

As a mixed number, the sum is 1 9/40.

__

Alternate solution

  1 2/16 + 0.6 -1/2 = 1 1/8 + (6/10 -5/10) = 1 1/8 + 1/10

  = 1 + (1/8 +1/10) = 1 +(5/40 +4/40) = 1 9/40

Answer:

A

Step-by-step explanation:

This makes most sense. We could solve 6x+4=46

Subtract 4

6x=42

42/6=7

There were 7 packs of juice.

4.63 is the gear ratio that will have the highest overall speed.

We have to determine

Which of the following gear ratios will have the highest overall speed?

According to the question

The gear ratio is the ratio between the drive gear and the driven gear.

The drive gear (the one directly receiving a rotational force from the engine, motor, etc.) is bigger than the driven gear, the latter will turn more quickly, and vice versa.

The higher the gear ratio value, the higher will be the speed.  

Here 4.63 is the highest and hence this gear ratio will have the highest overall speed.

Hence, 4.63 is the gear ratio that will have the highest overall speed.

To know more about the Gear ratio click the link given below.

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Answer:

4.63

Step-by-step explanation:

Answer:

(-4 , 1)

Step-by-step explanation:

We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:

x = -b/2a

In our case b = 8, a = 1, so:

x = - 8/2 = -4

We plug this value into our original equation and find the y of the vertex:

(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1

Vertex = (-4 ; 1)

Bill's speed is constant after 5 seconds and 45 meters into the race.

Correct responses:

a. Bill's maximum speed is 8 m/s

b. 24 meters

c. 57 meters

Given parameters are;

The distance of the race = 100 meter

Distance at which Bill reaches maximum speed = 45 meters

Speed Bill maintains after 5 seconds = The maximum speed

Time at which Bill is 85 meters from the starting line = 10 seconds after start

a. Required;

Bill's maximum speed in meters.

Solution:

Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, t = 10 s - 5 s = 5 s

[tex]Speed = \mathbf{\dfrac{Distance}{Time}}[/tex]

Therefore;

b. i. Required:

The distance Bill will run for 3 seconds at the maximum speed;

Solution:

Distance, s = Speed, v × Time, t

The distance traveled at maximum speed in 3 seconds is therefore;

Distance = 8 m/s × 3 s = 24 m

The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

ii) The distance Bill travels at 8 seconds after start, is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 3 seconds = 24 meters

Therefore;

c. Bill's distance 6.5 seconds after the start of the race is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 1.5 seconds = 1.5 s × 8 m/s = 12 meters

Learn more about distance, speed, time, relationship here:

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Answer:

She answered 20 questions correctly

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

easy

Answer:

6 mules

Step-by-step explanation:

The ratio of Mules to Hay is 2:1. This means for every 2 mules there is 1 bale of hay. If there are 3 bales of hay then the amount of mules is 3*2 which is 6.

Answer: (7.5, 4.5)

Step-by-step explanation:

To find the midpoint, we can just find the average of the x values and the y values.

x=(10+5)/2=15/2=7.5

y=(5+4)/2=9/2=4.5

Answer:

x < 2

Step-by-step explanation:

10x - 18 < 2

Add 18 to each side

10x - 18+18 < 2+18

10x < 20

10x/10 < 20/10

x < 2

Answer:

It should usually just be the mean 38.4

Step-by-step explanation:

Because the average is 38.4

Answer:

False, that would be racism/prejudice.

Answer:

it would be 70,000 since it would have to be 65,000 or lower to go down.

Answer:

x=5

Step-by-step explanation:

Formulate and substitute:d=4v

Rearrange unknown terms to the left side of the equation: 4x=27-7

Calculate the sum or difference: 4x=20

Divide both sides of the equation by the coefficient of variable: x=20÷4

Calculate the product or quotient: x=5

So the Answer is: x=5

Answer:

15. UA = 24

16. QW = 9

Step-by-step explanation:

15. since UA = AS, we put an equal sign in between both equations

3x+3=4x−4

Step 1: Subtract 4x from both sides.

3x+3−4x=4x−4−4x

−x+3=−4

Step 2: Subtract 3 from both sides.

−x+3−3=−4−3

−x=−7

Step 3: Divide both sides by -1.

-x/-1 = -7/-1

x = 7

To find UA, we substitute x to 7

UA = 3x + 3

UA = 3(7) + 3

(3)(7)+3

=21+3

=24

UA = 24

To find AS

AS = 4x - 4

AS = 4(7) - 4

(4)(7)−4

=28−4

=24

AS = 24

16. 2x - 1 = x - 4

Step 1: Subtract x from both sides.

2x−1−x=x+4−x

x−1=4

Step 2: Add 1 to both sides.

x−1+1=4+1

x=5

Answer:

x=5

To find QW

QW = 2x - 1

QW = 2(5) - 1

2(5) - 1

= 10 - 1

= 9

QW = 9

To find WS

WS = x + 4

WS = 5 + 4

5 + 4

= 9

WS = 9

Answer:

5/2 or 2.5

Step-by-step explanation:

...............

Answer:

$1332

Step-by-step explanation:

Let p represent the original price.  Then 0.75p = $999, the sale price.

Solve for p by dividing both sides of this equation by 0.75.  

We get:  p = original price = $999/0.75 = $1332

Answer:

$1332

Step-by-step explanation:

So to solve this problem, we set it by the following equation:

X * 0.75 = 999

The reasoning behind that is, we are looking for the originial price's 75%, which is 999. Let X be the original price. So X of 75% = 999. 75% can also be written as 0.75 in the decimal form (75/100).

Solving for X, you divide 999 by 0.75. That'll give you the answer of 1332.

The original price of the computer is $1332.

Hope this helps :)

Answer:

(x+6)×4 or 4x +24 (hope this helps)

Answer:

There is no slope

Step-by-step explanation:

When finding the slope both numbers have to be positive without positive numbers you will not have a positive slope there fore no slope

Using the mean concept, it is found that a range of scores between 17 and 53 will give Lisa a C for the semester.

In this problem, we have that:

Hence, the mean is:

[tex]M = \frac{90 + 82 + 91 + x}{4} = \frac{263 + x}{4}[/tex]

For a grade between 70 and 79, we have that:

[tex]70 \leq M \leq 79[/tex]

Then:

[tex]M \geq 70[/tex]

[tex]\frac{263 + x}{4} \geq 70[/tex]

[tex]263 + x \geq 280[/tex]

[tex]x \geq 17[/tex]

[tex]M \leq 79[/tex]

[tex]\frac{263 + x}{4} \leq 79[/tex]

[tex]263 + x \leq 316[/tex]

[tex]x \leq 53[/tex]

A range of scores between 17 and 53 will give Lisa a C for the semester.

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Answer:

8.50

Step-by-step explanation:

f(3)=-3²

=9

f(3)=-3

............

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

[tex]f(x) = {x}^{2} \\ f(3) = {3}^{2} \\ = 9 \\ [/tex]

Answer:

Step-by-step Solution:

Hope this helps!

Answer:

$50

Step-by-step explanation:

400/8=50

So if Jackson withdrew the same amount of money each week for 8 weeks to a total of $400, then he withdrew $50 each week.

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1, 3, 7, 9, 14

7 is in the middle of the five numbers, therefore, this set of 5 numbers has a median of 7.

Answer:

Step-by-step explanation:

4 4/5 is the same as (4 x 5) +4

4x5=20

20+4=24

24/5

Step-by-step explanation:

the area of the whole large square is (3x)² = 9x²

when combining 2 shaded triangles they build a small square of x×x or x².

since we have two pairs of such triangles, we have two small squares, and their combined area is x² + x² = 2x²

that means that the whole remaining unshaded area is

9x² - 2x² = 7x²

and so, the ratio shaded/unshaded area is

(2x²)/(7x²) = 2/7