Road sign shows 15 miles in 20 minutes What is the speed in miles per hour

write an equation using "x" and then solve the equationThe library bought 115 new fictions, 38 non-fiction and x new reference b

oee [108]

Answer:X=21

Step-by-step explanation:

115+38+x = 174

153+ x= 174

X=174-153

X=21

3 0

2 years ago

Find the equation of the sphere passing through P(negative 4 comma 7 comma 6 )and Q(8 comma negative 3 comma 5 )with its center

Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0

3 years ago

If 0.142857142857......is expressed in the form m/n, then what is the value<br>of (2m + n)?

frosja888 [35]

Answer:

The value will be: 1,285,713

Step-by-step explanation:

We have the number:

N = 0.142857...

Such that we have 6 decimals after the decimal point that repeat infinitely.

Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)

Then we get:

1,000,000*N = 142,857.142857...

Now let's subtract N from both sides:

1,000,000*N - N = 142,857.142857... - 0.142857...

999,999*N = 142,857

Now let's isolate N

N = 142,857/999,999

Here is our number expressed in the form m/n, where:

m = 142,857

n = 999,999

Then the value of (2*m + n) is:

(2*142,857 + 999,999) = 1,285,713

5 0

3 years ago

Calculate S_24 for the arithmetic squence in which a_13= 1.9 and the common difference is d=3.7

zloy xaker [14]

Answer:

D. 1.2

Step-by-step explanation:

The sum of an arithmetic sequence is the product of the average term value and the number of terms.

The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).

We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...

... (-1.8 + 1.9)/2 = 0.05

The product of this value and the number of terms (24) is ...

... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence

7 0

3 years ago

11/15 minus 1/3 in simplified form

Mrac [35]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

$\frac{11}{15} - \frac{1}{3} \\ \frac{11}{15} - \frac{1 \times 5}{3 \times 5} \\ \frac{11}{15} - \frac{5}{15} \\ \frac{6}{15} \\ \frac{6 \div 3}{15 \div 3} \\ \frac{2}{5}$

6 0

3 years ago

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