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igor_vitrenko [27]
3 years ago
12

if 5 times a number is increased by 4, the result is at least 19. find the least possible number that satisfies these conditions

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0
(3)   3 * 5 = 15 + 4 = 19            I believe that that is the smallest integer that would satisfy that problem. 
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Mike reads 40 pages of a book in 50 minutes. David can read 10 more pages than Mike in 50 minutes. How many pages should David b
Sveta_85 [38]
David can read 50 pages in 50 minutes.
(50 pages)/(50 minutes) = 1 page/minute
Since David reads 1 page per minute,
in 80 minutes David can read 80 pages.
8 0
3 years ago
Read 2 more answers
Determine and state the coordinates of the center and the length of the radius of the
zmey [24]

we can see that the center is (-3, 3) and the radius is 9 units.

<h3 /><h3>How to find the center and radius of the circle?</h3>

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

If you want to learn more about circles:

brainly.com/question/1559324

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7 0
2 years ago
Help me pls guys/girls
Kamila [148]

Answer:

 V = 9.828 * 10^7 mm^3

a= 9.828  b = 7

9,827,000  mm^3

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h

V = 1.2 *10^3  * 3.9*10^2  * 2.1*10^2

We multiply the numbers out front and add the exponents  (the powers of 10)

V = (1.2*3.9*2.1)  * 10^(3+2+2)

 V = 9.828 * 10^7 mm^3

Rewriting this in standard form means moving the decimal 7 places to the left.  Since there is not enough places add zeros

9,827,000  mm^3

5 0
2 years ago
If a bicycle wheel has a diameter of 21 inches what the exact circumference?
Blababa [14]

Answer:

Circumference = 65.97344573

Step-by-step explanation:

Given the diameter of a circle, we can use the formula C = πd to find the circumference.

C = circumference

π = pi

d = diamater

Equation: 21(π) = 65.97344573

Make sure to round to whatever decimal place is asked for!

6 0
3 years ago
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N}  = \frac{(x_1 + x_2 + ... + x_n)}{N} = M

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0
2 years ago
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