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myrzilka [38]
2 years ago
11

In June, it rained 6 out of the 30 days. What decimal is equivalent to the fraction of days in June that it rained?

Mathematics
2 answers:
STALIN [3.7K]2 years ago
4 0

Answer:

70

Step-by-step explanation:

took the test and passed

zepelin [54]2 years ago
3 0

Answer:

.30

Step-by-step explanation:

because rounded up it would equal 30 days

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Solve the quadratic equation by factoring: 15x^2+4x-4=0
joja [24]
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
3x = -2
x = -2/3

And

5x-2 = 0
5x = 2
x = 2/5

So the answer is x = -2/3 and x = 2/5






7 0
3 years ago
A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon
makkiz [27]

Answer:

B. 40 meters

Step-by-step explanation:

— Estimating

The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.

The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.

Only one answer choice fits in the range 37 < d < 46.

____

— Detailed calculation

The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.

The circuit length is ...

AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters

4 0
3 years ago
Kamal and Anand each Lent the same sum of money for 2 years at 5 percent at simple interest and compound interest respectively.
Ivenika [448]

Answer:

  • amount lent: ₹6000
  • interest received: Kamal, ₹600; Anand, ₹615.

Step-by-step explanation:

For principal P invested at simple interest rate r, the returned value in t years is ...

  A = P(1 +rt)

If K is Kamal's returned value, the given numbers tell us ...

  K = P(1 +0.05·2) = 1.1P

__

For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...

  A = P(1 +r)^t

If A is Anand's returned value, the given numbers tell us ...

  A = P(1.05)² = 1.1025P

This latter amount is RS.15 more than the former one, so we have ...

  1.1025P = 1.1P +15

  0.0025P = 15 . . . . . . . . subtract 1.1P

  P = 6000 . . . . . . . . . . . divide by 0.0025 . . . .  the amount lent

Kamal received 1.1P -P = 0.1P = 600 on the investment.

Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.

4 0
3 years ago
Hey can you please help me posted picture of question
Rudik [331]
Answer:
f⁻¹(x) = \frac{7x-3}{4}

Explanation:
To get the inverse of a function, we have to follow these steps:
1- replace f(x) with y
2- swap the x and y variables
3- solve for y
4- replace y with f⁻¹(x)

Applying this to the given as follows:
f(x) = \frac{4x-3}{7}

Step 1: replace f(x) with y:
y = \frac{4x-3}{7}

Step 2: swap the x and y variables:
x = \frac{4y-3}{7}

Step 3: solve for y:
7x = 4y - 3
4y = 7x - 3
y = \frac{7x-3}{4}

Step 4: replace y with f⁻¹(x):
f⁻¹(x) = \frac{7x-3}{4}

Hope this helps :)
8 0
3 years ago
8.
geniusboy [140]

She delivers it to house 2

3 0
3 years ago
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