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Phoenix [80]
2 years ago
13

3. Twelve coworkers go out for lunch together and order three pizzas. Each

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
8 0
2 slices for each person
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Starting at home, Luis traveled uphill to the gift store for 50 minutes at just 6 mph. He then traveled back home along the same
mario62 [17]

Average speed for the entire trip, both ways, is

                 (Total distance) divided by (total time) .

We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.

-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.

-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes  (5/12 hour) = 25 minutes.

Now we have everything we need.

Distance:
         Going:       5 miles
         Returning:  5 miles
         Total         10 miles

Time:
         Going:        50 minutes
         Returning:   25 minutes
         Total:          75 minutes  =  1.25 hours  

         Average speed for the whole trip =

                       (total distance) / (total time)

                   =      (10 miles)  /  (1.25 hours)

                   =       (10 / 1.25)  miles/hours 

                   =          8 miles per hour
4 0
3 years ago
Solve For x.<br> (-4x+5)-(6x+7)=0<br><br> (Pls Explain Your Answer in Simple Terms)
Alchen [17]

Answer:

- 4x + 5 - (6x + 7)  = 0\\   - 4x + 5 - 6x - 7 = 0 \\  - 10x - 2 = 0 \\ 10x + 2 = 0 \\ 10x =  - 2 \\ x =  \frac{ - 2}{10}  \\ x =  - .2 \\ thank \: you

6 0
2 years ago
Read 2 more answers
5) Is 3 a zero (or root) of f(x) = x3 - 9x2 + 11x + 21?
frozen [14]

Answer:

Yes

Step-by-step explanation:

f(x) = x³ − 9x² + 11x + 21

f(3) = (3)³ − 9(3)² + 11(3) + 21

f(3) = 27 − 81 + 33 + 21

f(3) = 0

6 0
3 years ago
Which equation represents the line that passes through points B and C on the graph?
Nataly_w [17]

Answer:

a

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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

m = \frac{-2-2}{-2+4} = \frac{-4}{2} = - 2

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, - 2), then

- 2 = 4 + c ⇒ c = - 2 - 4 = - 6

y = - 2x - 6 ← equation of line through B and C

4 0
3 years ago
Read 2 more answers
Find the missing number in this proportion. 3/16 = 5/?
Ludmilka [50]
3/16=5/x
times both sides by 16x (aka cross multiply
3x=5*16
3x=80
divide both sides by 3
x=80/3
x=26 and 2/3
the missing number is 80/3 or 26 and 2/3
8 0
3 years ago
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