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Anna35 [415]
4 years ago
7

Translate each algebraic expression into ordinary words. a. 5x-3 b. 2(x+y) c. 3-(x+5)

Mathematics
1 answer:
jolli1 [7]4 years ago
4 0
Hey there!
For all this, we'll start with defining any variable as "a number", as we're using words.
a) Three less than the product of five and a number.
b) Two times the sum of x and y.
c) Three subtracted from the sum of a number and five.
Hopefully this helps!
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A car travels for 3 hours and covers 156 miles. Find the average speed of the car.
lidiya [134]

Answer:

52 miles per hour

Step-by-step explanation:

Firstly, It is important to point out  that it is Average speed. The Average speed throughout all the way the car traveled.

And this is may calculated by a simple formula or if you'd rather by a proportion. Let's pick this simple formula, what's going to be useful.

Let's do the math!

Average speed = Δs/Δt

Δs = Variation of Space (given in miles) =156 -0

Δt =Variation of Time (given in hours) =3-0

Average Speed = 156-0/3-0 =156/3 =52 miles per hour

It is important to say, Average speed, is a rate so it is given in miles per hour

5 0
3 years ago
How far from the base of the house do you need to place a 15ft ladder so that it exactly reaches the top of a 12ft tall wall
Anettt [7]

It's a right triangle problem, and pretty obviously a multiple of the only Pythagorean Triple most folks know, 3²+4²=5².  In this case we multiply the lengths by three getting

9²+12²=15²

If we place the 15 foot ladder 9 feet from the house it will hit the house at height 12 feet.

Answer: 9 feet


4 0
3 years ago
Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows.
Arturiano [62]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

m = \frac {y2-y1} {x2-x1}

We have the following points:

(x1, y1): (- 7,25)\\(x2, y2): (- 4,13)

Substituting the values:m = \frac {13-25} {- 4 - (- 7)} = \frac {-12} {- 4 + 7} = \frac {-12} {3} = - 4

Thus, the line is of the form:

y = -4x + b

We substitute one of the points and find "b":

13 = -4 (-4) + b\\13 = 16 + b\\b = 13-16 = -3

Finally we have to:

y = -4x-3

Answer:

The equation es y = -4x-3

6 0
3 years ago
Read 2 more answers
That is the slope of the function y=-1/2 x - 7? *<br> I b=-1/2<br> b= 2/1<br> m= 2/1<br> m=-1/2
goblinko [34]

The slope of the function is m=-1/2

6 0
3 years ago
Read 2 more answers
Tom received 89,94,86 and 96 on the first four algebra tests . What grade must he receive on his last test to have an average on
uranmaximum [27]

Answer:

<em>Tom must score 95 on his last test</em> to have an average of 92.

Step-by-step explanation:

Tom's average score (92) = the sum of all his five grades/the number of grades (5)

Given that A is the grade Tom must receive on his last test, we have the equation as follows:

92 = (89+94+86+96+A)/5

<=> A = 92 × 5 - (89+94+86+96)

=> A = 95

7 0
3 years ago
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