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2 years ago

8

Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it

was 4°C outside. Which expression represents the difference between the two temperatures?

1 answer:

slavikrds [6]2 years ago

8 0

Answer:

morning = -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

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K = 1.2 Short answer.
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3 years ago

A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes

s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

Let x = number of large boxes

y = number of small boxes

Now, "There are 110 boxes in all" means x + y = 110

Now, the pounds for each kind of box is:

(pounds per box)*(number of boxes)

pounds for large boxes + pounds for small boxes = 4200pounds

"the truck is carrying a total of 4200 pounds in boxes"

(45)*(x) + (30)*(y) = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second. Let's solve for x:

x = 110 - y [from eq1]

45(110-y) + 30y = 4200 [from eq2]

4950 - 45y + 30y= 4200 [distribute]

4950 - 15y = 4200

-15y = -750

y = 50 [divide both sides by (-15)]

There are 50 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 110 - y

x = 110 - 50

x = 60

There are 60 large boxes.

Now, let's verify our solution:

Is 60+50= 110 ? [eq1]

110 = 110 ? yes!

Is 60(45) + 50(30) = 4125 ?

2700 + 1500 = 4200 ?

4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

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