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Sever21 [200]
3 years ago
11

a scale drawing of valarie's garden uses a scale of 2 inches = 5 feet. If the garden's width on the scale drawing measures 3 inc

hes, what is the actual width, in feet, of valarie's garden?
Mathematics
1 answer:
kvasek [131]3 years ago
8 0
Every inch represents 2.5 feet

2.5 × 3 = 7.5

valarie's garden is 7.5 feet in width
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Line segment AB has endpoints A(7, 4) and B(2, 5). Find the coordinates of the point that divides the line segment directed from
mrs_skeptik [129]

Answer:

(23/4, 17/4)

Step-by-step explanation:

The vector from A to B is ...

... V = B - A = (2-7, 5-4) = (-5, 1)

Point P that divides AB the way you want is 1/4 of that from A:

... P = A + (1/4)×V = (7, 4) + (-5/4, 1/4)

... P = (5 3/4, 4 1/4) = (23/4, 17/4)

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3 years ago
Use the substitution method to solve each linear system. 4x - 3y = -13,-2x + y = 4
alisha [4.7K]

Answer:

Step-by-step explanation:

(X,Y)=(-55/2,-38

6 0
3 years ago
Any help, please :)
Nataly_w [17]

Answer:

y=x+6

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
A student takes a driving test until it is passed.
Leya [2.2K]

Answer:

The probability that the test is taken an even number of times is 0.30.

Step-by-step explanation:

The probability that a student passes the driving test at any attempt is,

<em>p</em> = 4/7.

The event of a student passing in any attempt is independent of each other.

The probability that the test is taken an even number of times is:

P (even number of tests) = P (Passing in the 2nd attempt)

                                                  + P (Passing in the 4th attempt)

                                                       + P (Passing in the 6th attempt) ...

If a student passed in the 2nd attempt it implies that he failed in the first.

Then,  P (Passing in the 2nd attempt) = (\frac{3}{7}) \times (\frac{4}{7})

Similarly, P (Passing in the 4th attempt) = (\frac{3}{7})^{3} \times (\frac{4}{7}), since he failed in the first 3 attempts.

And so on.

Compute the probability of an even number of tests as follows:

P (even number of tests) = (\frac{3}{7}) \times (\frac{4}{7})+(\frac{3}{7})^{3} \times (\frac{4}{7})+(\frac{3}{7})^{5} \times (\frac{4}{7})+...

The result follows a Geometric progression for infinite values.

The sum of infinite GP is:

S=\frac{a}{1-r^{2}}

The probability is:

P (even number of tests) = (\frac{3}{7}) \times (\frac{4}{7})+(\frac{3}{7})^{3} \times (\frac{4}{7})+(\frac{3}{7})^{5} \times (\frac{4}{7})+...

                                          =\frac{(\frac{3}{7})(\frac{4}{7} ) }{1-(\frac{3}{7})^{2}}\\=\frac{12}{49}\times\frac{49}{40}\\  =\frac{12}{40}\\ =0.30

Thus, the probability that the test is taken an even number of times is 0.30.

7 0
3 years ago
Divide the 4th degree polynomial
iragen [17]

Answer:

  • quotient: 10x +16
  • remainder: 28x^2 +10x +22

Step-by-step explanation:

The attachment shows the steps.

  quotient: 10x +16

  remainder: 28x^2 +10x +22

_____

Polynomial long division is easier than numerical long division because you only need to examine the first terms to determine the quotient term.

The first quotient term is 10x^4/x^3 = 10x.

The second quotient term is 16x^3/x^3 = 16.

When the leading dividend term is lower degree than the divisor, that dividend is the remainder.

4 0
3 years ago
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