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2 years ago

At the beginning of spring, Austin planted a small sunflower in his backyard.

Mathematics

1 answer:

Anastaziya [24]2 years ago

7 0

Answer:

After 6 weeks the sunflower would be 43 inches tall. After w weeks, the sunflower would be 25 + 3w tall.

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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.

6 0

2 years ago

Read 2 more answers

What is 90.69 rounded to the nearest tenth

kolezko [41]

90.69 rounded to the nearest tenth.
Go to the tenth value of the number and look to the number right of that. If it is 5 or higher, you round up; 4 or less, round down
9 is higher than 5 therefore you round up
90.69 becomes 90.7

8 0

3 years ago

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Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

irga5000 [103]

<span>The answer would be (f(x) = (x – 8)2 – 56)</span>

5 0

3 years ago

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The graph of y = Vx is translated 3 units to the left and 4 unitsdown.

Bezzdna [24]

You isolate the v and move 3 units down to the left which leads u to 10. Hope this helped

7 0

2 years ago

PLEASE HELP ITS DUE AT MIDNIGHT

antiseptic1488 [7]

Answer:
The rest of the question is the attached figure
The percent change =
If (+ve) increase and if (-ve) decrease
Part A: What is the percent of change in the cost of a pizza?
The initial price = $7.5
The final price = $9
The percent change = %
Part B: What is the percent of change in the cost of a cheeseburger?
The initial price = $5
The final price = $6.5
The percent change = %
Part C: What is the percent of change in the cost of a serving fries?
The initial price = $2
The final price = $4.5
The percent change = %
Part D: What is the percent of change in the cost of a hot dog?
The initial price = $2.5
The final price = $2
The percent change = %
i found this online i hope if helps you

3 0

2 years ago

Read 2 more answers