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2 years ago

7

The police use a speed gun to monitor one part of a highway. During one hour, 6 out of 25 cars were traveling above the speed li

mit. What percent of the cars were traveling above the speed limit? show your work

2 answers:

Vlad [161]2 years ago

4 0

<span>(6 / 25) X 100 = 24%</span>

marin [14]2 years ago

3 0

(6 / 25) X 100 = 24%

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What is the word form for 2.35?

Afina-wow [57]

The word form for 2.35 is
"two point three five".

8 0

3 years ago

Darren is purchasing a home for $973000. He makes 25% down payment and obtains a 20 year fixed rate mortgage loan at 8% annual i

pogonyaev

Down payment
973,000×0.25=243,250

principle
973,000−243,250=729,750

interest
6,103.92×12×20−729,750=735,190.8

intangible tax
729,750×0.007=5,108.25

Total cost
243,250+729,750+735,190.8
+5,108.25=1,713,299.05

6 0

3 years ago

Find the sum of first 15 terms of an AP whose 4th and 9th t terms are -15 and -30 respectively.

Serga [27]

Answer:

Sum of the first 15 terms = -405

Step-by-step explanation:

a + 3d = -15 (1)

a + 8d = -30 (2)

Where,

a = first term

d = common difference

n = number of terms

Subtract (1) from (1)

8d - 3d = -30 - (-15)

5d = -30 + 15

5d = -15

d = -15/5

= -3

d = -3

Substitute d = -3 into (1)

a + 3d = -15

a + 3(-3) = -15

a - 9 = -15

a = -15 + 9

a = -6

Sum of the first 15 terms

S = n/2[2a + (n − 1) × d]

= 15/2 {2×-6 + (15-1)-3}

= 7.5{-12 + (14)-3}

= 7.5{ -12 - 42}

= 7.5{-54}

= -405

Sum of the first 15 terms = -405

7 0

2 years ago

A bag contains ten identical blue marbles and ten identical green marbles. In how many distinguishable ways can five of these ma

ivann1987 [24]

Answer: 11 different rows.

Step-by-step explanation:

As the marbles are identical, we do not really care for permutations (as we can really not difference them)

If we have 5 blue marbles, we have only one combination.

B-B-B-B-B

If we have 4 blue marbles, we have 3 combinations:

B-B-B-B-G, G-B-B-B-B, B-B-G-B-B

This is because the blue marbles need to be next to another blue one, so from here we can do the same analysis.

If we have 3 of them, we have 3 combinations.

B-B-B-G-G, G-B-B-B-G, G-G-B-B-B

If we have 2 of them, we have 4 combinations

B-B-G-G-G, G-B-B-G-G, G-G-B-B-G, G-G-G-B-B

then we have 1 + 3 + 3 + 4 = 11 combinations

7 0

2 years ago

If f(x) = 3x2 and g(x) = x+2, find (f•g)(x).

Alecsey [184]

Since you have provided me with • symbol I must assume it's about function multiplication, but since standard keyboard doesn't have the function composition symbol $\circ$ I must assume you meant either.

1. Case you meant multiplication.

$(f\cdot g)(x)=3x^2\cdot(x+2)=\boxed{3x^3+6x^2}$

2. Case you meant composition.

$(f\circ g)(x)=f(g(x))=f(x+2)=3(x+2)^2=\boxed{3x^2+12x+12}$

Hope this helps. Next time please use LaTeX to format your equations so that others can give you answers as well.

5 0

3 years ago