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Lesechka [4]
3 years ago
10

0.00432 km = _____ mm

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0
Your answer is 4320 Milimeters :)
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Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

8 0
3 years ago
Read 2 more answers
What else would need to be congruent to show that ABC=DEF by SAS?
KonstantinChe [14]

Answer:

A

Step-by-step explanation:

SAS = side-angle-side

This means that, in order to prove that the triangles are congruent, they must have two congruent sides with the angle between them to the same.

We know that sides AB, ED, AC, and DF are all congruent as they all have a single mark through them. From this, you can conclude that the triangles already share two sides. All we need now is the angles in between to be congruent. This means that angle A and angle D need to be congruent.

I hope this helps!

7 0
3 years ago
How would you compare 15 counters with 8 counters in a sentence? With how many will each child have?
Phantasy [73]
 since division is separating into equal parts but since there are 15 counters and 8 counters there the same so you can compare them and the final equation would be 15+8/x. let x= the number of kids 
8 0
3 years ago
Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation
Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

6 0
3 years ago
What is the solution to t - 3 ≤ 12?
melisa1 [442]

Answer:

t  ≤ 15

Step-by-step explanation:

t - 3 ≤ 12

Add 3 to each side

t-3+3   ≤ 12+3

t  ≤ 15

3 0
3 years ago
Read 2 more answers
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