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2 years ago

The product of 16 and 4 less than a number is 208. Find the number.

1 answer:

5 0

This is a word problem signifying an algebraic expression.

Translating this to mathematics:

$16x - 4 = 208$

add 4 to both sides.

$16x = 212$

divide 16 to both sides.

$x = \frac{212}{16}$

this is:

$x = 13.25$

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Check that x=2 and y=5 is a solution of both equations below:<br> X+2y=12<br> 3x+6y=36 *

melamori03 [73]

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 5 into the left side of the equations and if equal to the right side then they are a solution.

x + 2y = 2 + 2(5) = 2 + 10 = 12 ← True

3x + 6y = 3(2) + 6(5) = 6 + 30 = 36 ← True

Thus x = 2, y = 5 is a solution to both equations

7 0

3 years ago

Read 2 more answers

Solve 3(2x-5)-4x+8=-1

777dan777 [17]

Answer:

Step-by-step explanation:

Step 1:

3 ( 2x - 5 ) - 4x + 8 = - 1

Step 2:

5x - 15 - 4x + 8 = - 1

Step 3:

x - 15 + 8 = - 1

Step 4:

x - 7 = - 1

Answer:

x = 6

Hope This Helps :)

7 0

3 years ago

1) A cyclist travels a distance of 90 miles in 5 hours. What

Nostrana [21]

Answer:

Step-by-step explanation: <u>Speed</u> is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) $v=\frac{distance}{time}=\frac{d}{t}$

$v=\frac{90}{5}$

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3) $v=\frac{d}{t}$

$v=\frac{315}{6}$

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

$t=\frac{d}{v}$

$t=\frac{210}{90}$

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

$t=\frac{2000}{4}$

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

$v=\frac{420}{8.75}$

v = 560 mph

The average speed is 560 mph.

b) $t=\frac{d}{v}$

$t=\frac{420}{63}$

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

4 0

2 years ago

5p/-1 + q when p is 21 and q is 9

son4ous [18]

5×21/-1+9
105/-1 +9
-105 +9
-96

hope that helps

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3 years ago

Question 4 of 25

Yuki888 [10]

Answer:

Las Vegas

Step-by-step explanation:

4 0

3 years ago