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Rainbow [258]
3 years ago
15

A student can solve 12 math problems in 45 minutes. How long will it take the student to complete 20 problems if all the problem

s take the same amount of time?
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

75min or 1 hour 15min

Step-by-step explanation:

45/12 = 3.75min per problem

3.75 x 20 = 75min or 1 hour 15min

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Which ordered pair is a solution to the system of inequalities?
xxTIMURxx [149]

Answer:

Option A

Step-by-step explanation:

System of the inequalities is,

y ≥ 2x

y < x + 4

By satisfying these inequalities with the points given in the options we can get the answer.

Option (A). (2, 5)

y ≥ 2x

5 ≥ 2(2)

5 ≥ 4

True.

y < x + 4

5 < 2 + 4

5 < 6

True

Therefore, Option (1) is the answer.

Option (B) (1, 6)

y ≥ 2x

6 ≥ 2(1)

6 ≥ 2  

True.

y < x + 4

6 < 1 + 4

6 < 5

False.

Therefore, it's not the solution.

Option (C) (2, 3)

y ≥ 2x

3 ≥ 2(2)

3 ≥ 4

False.

y < x + 4

4 < 2 + 4

4 < 6

True.

Therefore, It's not the solution.

Option (D) (1, 5)

y ≥ 2x

5 ≥ 2(1)

5 ≥ 4

True.

y < x + 4

5 < 1 + 4

5 < 5

False.

Therefore, It's not the solution.

7 0
3 years ago
What is the y-intercept of the graph of the equation y=4(3^x)?
eimsori [14]

Answer:

The y-intercept is (0, 4).

Step-by-step explanation:

At the y-intercept x = 0 so

y = 4(3^0)

y = 4*1 = 4.

So the y-intercept is (0, 4).

8 0
3 years ago
Read 2 more answers
I can buy a box of cereal for $3.50 that comes with 35 half-cup servings.
docker41 [41]
Please I think the question is not complete
8 0
2 years ago
Question 3 (Essay Worth 10 points)
Vika [28.1K]

Answer:

a) A= Lenght *Width

And replacing we got:

A= (3x+10) (4x+5)

And simplifying we got:

A = 12x^2 +15x +40x +50 = 12x^2 +55x +50

b) For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

c) We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

Step-by-step explanation:

We know a  rectangle has sides measuring (4x + 5) units and (3x + 10) units

Part a

For this case we can find the area like this:

A= Lenght *Width

And replacing we got:

A= (3x+10) (4x+5)

And simplifying we got:

A = 12x^2 +15x +40x +50 = 12x^2 +55x +50

Part b

For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

Part c

We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

5 0
3 years ago
What’s the correct answer for this question?
olga_2 [115]

Answer:

107 meters

Step-by-step explanation:

Central angle = 123°

In radians

123° = 123π/180

123° = 2.147 radians

Putting in formula

S = r∅

S = (50)(2.147)

S = 107 meters

4 0
3 years ago
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