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zvonat [6]
3 years ago
12

3×16 using partial products

Mathematics
2 answers:
Mars2501 [29]3 years ago
3 0
48 because 3 x 16 is 48
-Dominant- [34]3 years ago
3 0
48 isur answer ! Hope this helps☺️
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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

35x_1+22x_2=9,000...(2)

From equation (1), we will get:

x_2=350-x_1

Substitute this value in equation (2):

35x_1+22(350-x_1)=9,000

35x_1+7,700-22x_1=9,000

13x_1+7,700=9,000

13x_1+7,700-7,700=9,000-7,700

13x_1=1,300

\frac{13x_1}{13}=\frac{1,300}{13}

x_1=100

Therefore, the company sold 100 widgets.

Substitute x_1=100 in equation (1):

100+x_2=350

100-100+x_2=350-100

x_2=250

Therefore, the company sold 250 gizmos.

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1) PN

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Take out the constants.
(
3
×
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)
x
x
(3×3)xx

2 Simplify
3
×
3
3×3 to
9
9.
9
x
x
9xx

3 Use Product Rule:
x
a
x
b
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+
b
x
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​b
​​ =x
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5 0
3 years ago
Help with algebra pls help
EastWind [94]

9514 1404 393

Answer:

  a. 1.48 seconds

Step-by-step explanation:

You want to find the larger value of t such that h(t) = 10.

  -16t^2 +25t +8 = 10

  16t^2 -25t +2 = 0 . . . . subtract the left side to get standard form

Using the quadratic formula, we find the values of t to be ...

  t = (-(-25) ± √((-25)^2 -4(16)(2)))/(2(16)) = (25±√497)/32

  t ≈ 0.08 or 1.48

The ball goes in the hoop about 1.48 seconds after it is thrown.

__

<em>Additional comment</em>

The quadratic formula tells us the solution to ...

  ax² +bx +c = 0

is given by ...

  x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

Here, we have a=16, b=-25, c=2. Of course, our variable is t, not x, but the relation is the same.

8 0
2 years ago
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