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Wewaii [24]
2 years ago
7

what is the volume of a box with the height of 3/2 inches and a length of 7/2 inches and a width of 5/2 inches

Mathematics
1 answer:
nadezda [96]2 years ago
8 0

Answer:

13.125 in³

Step-by-step explanation:

So first convert all the numbers to decimal form. 3/2 converts to 1.5. 7/2 converts to 3.5. 5/2 converts to 2.5.

Now for the actual math. Take 1.5×3.5=5.25. Then take your new number and multiply it by 2.5. 5.25×2.5=13.125.

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4 0
3 years ago
Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as y - b = m(x - a), where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in y - b = m(x - a).

✅Equation in point-slope form would be:

y - 12 = -3(x - 6)

Rewrite this to make it be in the slope-intercept form, y = mx + b.

y - 12 = -3(x - 6)

y - 12 = -3x + 18

Add 12 to both sides

y = -3x + 18 + 12

y = -3x + 30

✅The equation in slope-intercept form is y = -3x + 30

b. ✍️Based on the linear model, y = -3x + 30, the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, y = -3x + 30, "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

6 0
3 years ago
How can you tell that a system of linear equations will have infinitely many solutions without computation?
Contact [7]

If you can manipulate the two equations so that they have exactly the same coefficients (e. g., 3x + 4y = 8 and 2x + 4y = 8), then you conclude that the two lines coincide (overlap), and that there are thus infinitely many solutions.

3 0
2 years ago
Please help me with this
N76 [4]

Answer:

ASA

Step-by-step explanation:

One pair of corresponding angles (in the bottom left/right) are already marked for us, and we're also given a pair of corresponding sides (the 8cm ones on the left and right). The two triangles have one more angle in common too - the one they're overlapping on the top corner. So, we have:

- Two pairs of congruent corresponding angles, and

- A pair of congruent corresponding sides between them,

which is enough information to call the triangles congruent by Angle-Side-Angle (ASA).

4 0
2 years ago
Krya is playing a card game. Black cards are worth points while red cards take points away. What is her score if she has a black
Nitella [24]

Answer:

her score would be -22

Step-by-step explanation:

20-42=-22

8 0
2 years ago
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