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3 years ago

Express 16 as a difference of two prime numbers

1 answer:

8 0

16 can be expressed as a difference of two prime numbers in two ways, which is:23 - 7 = 16, 19 - 3 = 16
Among the choices, 16 is expressed as (23 - 7), which is the difference of two prime numbers.

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Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would m

xenn [34]

Answer:

The speed is still water is $v = \frac{d}{h} - c$ .

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

$c + v = \frac{d}{h}$

Where:

$c$ - Current speed, measured in miles per hour.

$v$ - Speed of the person regarding current, measured in miles per hour.

$d$ - Distance travelled downstream, measured in miles.

$h$ - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

$v = \frac{d}{h} - c$

The speed is still water is $v = \frac{d}{h} - c$ .

4 0

3 years ago

Anthony has been saving nickels dimes quarters over the last year he knows that he has twice as many nickels as quarters. change

OLga [1]

Answer:

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ---> the number of dime's coin

z ---> the number of quarter's coin

Remember that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

we know that

$x+y+z=260$ ----> equation A

$0.05x+0.10y+0.25z=29.75$ ----> equation B

$x=2z$ ----> equation C

substitute equation C in equation A and equation B

$2z+y+z=260$

$3z+y=260$ ---> equation A1

$0.05(2z)+0.10y+0.25z=29.75$

$0.35z+0.10y=29.75$ -----> equation B1

Solve the system of equations A1 and B1 by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (75,35)

see the attached figure

z=75, y=35

<em>Find the value of x</em>

$x=2(75)=150$

therefore

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

8 0

3 years ago

Angle D has what measurement according to the protractor?

Aliun [14]

Answer:

B. $90^o$

Step-by-step explanation:

We have been given a protractor and we are asked to find the measure of angle D.

We can see from our given protractor that the measure of angle D is 90 degrees as the ray OD crosses our protractor at 90 degrees.

Therefore, the measure of angle D is 90 degrees and option B is the correct choice.

6 0

3 years ago

Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$