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Mars2501 [29]
4 years ago
15

Dave and mary depart from the bus station at 10 am traveling in opposite directions. dave's bus is going 40 miles per hour and m

ary's is going 50 miles per hour. at what time will they be 270 miles apart?

Mathematics
1 answer:
Montano1993 [528]4 years ago
3 0
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Equivalent expressions for 50+225
faust18 [17]

50 + (15 × 15),   50 + 15 × 50 + 15,   (10 × 5) + 225,   10 × 225 + 5 × 225

Solution:

Given expression is 50 + 225.

To find the equivalent expressions for 50 + 225.

(1)   225 can be written as 15 × 15.

⇒ 50 + 225 = 50 + (15 × 15)

(2)   Using distributive law, we find the another equivalent expression

a + (b × c) = a + b × b + c

⇒ 50 + (15 × 15) = 50 + 15 × 50 + 15

(3)   Now, 50 can be written as 10 × 5.

⇒ 50 + 225 = (10 × 5) + 225

(4   Using distributive law, we find the another equivalent expression

a + (b × c) = a + b × b + c

⇒ (10 × 5) + 225 = 10 × 225 + 5 × 225

Hence the equivalent expressions for 50 + 225 are:

50 + (15 × 15)

50 + 15 × 50 + 15

(10 × 5) + 225

10 × 225 + 5 × 225

7 0
3 years ago
Please Hurry!!! Which expression is equivalent to 2w? <br> w+w<br> 2w+2<br> 2w-w<br> w+2
aksik [14]

Answer:

w+w

Step-by-step explanation:

3 0
3 years ago
Which ofnthe following shows the correct use of distributive property when solving 1/3(33-x)=135,2
madam [21]

Answer: OPTION C.

Step-by-step explanation:

The missing options are:

A. (33 - x) = \frac{1}{3} * 135.2\\\\B. (\frac{1}{3} *33) - \frac{1}{3} x = \frac{1}{3} * 135.2\\\\C.(\frac{1}{3}  * 33) - \frac{1}{3} x = 135.2\\\\D. (\frac{1}{3}  * 33) + \frac{1}{3} x = 135.2

In order to solve this exercise you need to remember the following:

1. The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

2. The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

In this case the exercise gives you the following equation:

\frac{1}{3}(33-x)=135.2

Since you need to solve for the variable "x" in order to  find its value, the first  step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.

Then, you must multiply everyting inside the parentheses by \frac{1}{3}.

Therefore,based on the explanation, you know that the correct use of the Distributive property is:

\frac{1}{3}*33-\frac{1}{3}x=135.2

8 0
3 years ago
How do you prove that a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects?
konstantin123 [22]
Check the picture drawn

Consider the line segment AB, 

let M be the midpoint of AB, so AM=MA

erect the perpendicular MT to AB from point M. Pick a point P on MT and join it to the points A and B

The triangles PMA and PMB are congruent from the Side Angle Side congruence postulate:

AM=MA, PM is common and m(PMA)=m(PMB)=90°, as MT is perpendicular to AB

so PA=PB

5 0
3 years ago
Are these expressions equivalent 2(3x + 5) = 6x + 5?
Viktor [21]

Answer:

no

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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