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Which algebraic expression represents “the difference of fifty-four and seven times a number”?

JulsSmile [24]

Answer:

The difference of fifty-four and seven times a number is written as 54 - 7x.

Step-by-step explanation:

Given: expression “the difference of fifty-four and seven times a number”

We have to write the given algebraic expression represents “the difference of fifty-four and seven times a number”

Consider the given algebraic expression represents “the difference of fifty-four and seven times a number”

Let the number be x

Then, seven times a number is 7x

And the difference of fifty-four and seven times a number is written as 54 - 7x.

Thus, The difference of fifty-four and seven times a number is written as 54 - 7x.

4 0

3 years ago

Read 2 more answers

What is mZCAD? O 80° O 20° O 80° O 100° O 110°

denis23 [38]

Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

3 0

2 years ago

On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his

weeeeeb [17]

Answer:

$\% Change = \frac{|28-32|}{32} *100 = 12.5\%$

(B) Decrease by 12.5%

Step-by-step explanation:

For this case we know that the revolution is proportional to the circumference.

And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.

We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:

$Avg = \frac{x}{mi}$

Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.

If we find the average revolutions per each case we got:

Tuesday:

$Avg = \frac{896}{32}=28$

Monday:

$Avg = \frac{896}{28}=32$

And then we can find the % of change like this:

$\% Change= \frac{|Final-Initial|}{Initial} *100$

And if we replace we got:

$\% Change = \frac{|28-32|}{32} *100 = 12.5\%$

Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.

So then the best answer for this case would be:

(B) Decrease by 12.5%

3 0

3 years ago

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the

Zina [86]

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

4 0

3 years ago

Does the point (2, 6) lie on the line that connects (1, 4) and (0, 3)? Explain.

Mkey [24]

Answer:

The point does not lie on the line

Step-by-step explanation:

Find the slope of the equation with rise/run

This gets you -1/-1 = 1

The equation will be y = x + 3, given the y intercept at (0, 3)

Plug in the point (2, 6) to see if it works in the equation

6 = 2 +3

6 $\neq$ 5

The point does not lie on the line

8 0

3 years ago