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sweet-ann [11.9K]
3 years ago
11

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function tha

t represents this situation?
15 gallons
30 gallons
45 gallons
60 gallons
Mathematics
2 answers:
wolverine [178]3 years ago
6 0
Divide the numbers 45 and 15 and u should get ur answer
babunello [35]3 years ago
6 0

Answer:

It is 45.

Step-by-step explanation:

Divide 45 by 15. The answer is 3, so it would take her 3 minutes to drain the aquarium.

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Which fraction is represented by point a on the number line
ale4655 [162]
-1/3 It cant be the others because -1 is already at the edge and is not the number, 1/3 is positive but -1/3 is left of zero, therefore negative and 1 is right of zero, so is positive.



-1/3 is the correct answer.
4 0
4 years ago
Read 2 more answers
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF=JK
NISA [10]

Answer:

A) AAS; B) LA; C) ASA

Step-by-step explanation:

AAS is the Angle-Angle-Side congruence statement.  It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent.  In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK.  These are two angles and a non-included side; this is AAS.

LA is the leg-acute theorem.  It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.

The leg we have congruent from each triangle is DE and JK.  We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute.  This is the LA theorem.

ASA is the Angle-Side-Angle congruence statement.  It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.  

We have that ∠D≅∠J, DE≅JK and ∠E≅∠K.  This gives us two angles and an included side, or ASA.

7 0
3 years ago
Read 2 more answers
e) Given the following: Let X = {1, 2, 3, 4) and a relation R on X as R= {(1,2), (2,3), (3,4)}. Find the reflexive and transitiv
Naddika [18.5K]

Answer:

The answer is \{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}

Step-by-step explanation:

Remember that a reflexive relation R\subset \mathcal{P}(X), where \mathcal{P}(X) is the power set of X, is one which conteins the ordered pairs of the form (a,a), for a\in X.

So, As the reflexive and transitive closure of R (that we will denote by \overline{R}) is in particular reflexive, we must add to R  the elements \{(1,1) , (2,2),(3,3),(4,4) \}

A transitive relation R is one in which if the pair (a,b) and the pair (b,c) are in there, then the pair (a,c) must be there too.

So, to complete the relation R to be reflexive and transitive we must add the pair (1,3) (because (1,2),(2,3) are in R), the pair (2,4), and the pair (1,4) because we added the pair (2,4).

Therfore we have that \overline{R}=\{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}.

6 0
3 years ago
I NEED HELP PLEASE If given the following Graph; Andre earns $4000 a month at his new job. In order to track his spending and sa
melisa1 [442]

Answer:

You would need to multiply 0.33 and 4,000 to find the rent.

Step-by-step explanation:

hope this helps:)

5 0
3 years ago
Evaluate 64 1\2 * 10(-2) as a fraction
melamori03 [73]

Answer:

1/25

Step-by-step explanation:

64^=8

8*1/2=8/2

10^-2=1/100

8/2*1/100

1/25

This is picture for more preference.

8 0
3 years ago
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