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Anarel [89]
3 years ago
8

2x - 3(5 - x) = 35 pls solve

Mathematics
2 answers:
inna [77]3 years ago
8 0

Answer:

x=10

Step-by-step explanation:

Nana76 [90]3 years ago
5 0

Answer:

2x-15+3x=35

2x+3x=35+15

5x=50

x=50/5

x=10

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On a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. His average rate in the morning was twice hi
Lina20 [59]

Answer:

Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.

Step-by-step explanation:

Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.

Given that he spent 5 hours in driving.

And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.

Given that his average rate in the morning was twice his average rate in the afternoon.

(150/x) = 2 * 50/(5-x)

150/x = 100/(5-x)

Cross multiplying terms, we get:-

150*(5-x) = 100*x

750 - 150x = 100x

750 = 100x + 150x

750 = 250x

x = 750/250 = 3.

It means he spent 3 hours in the morning and 2 hours in the afternoon.

So morning's average rate = 150/3 = 50 mph.

and afternoon's average rate = 50/(5-3) = 25 mph.

8 0
3 years ago
Write 10 x 10 x 10 x 10 x 10 with an exponent.<br> 10 x 10 x 10 x 10 x 10 =
lakkis [162]

Answer:

10^5

Step-by-step explanation:

Exponents are basically just saying how many times the number is multiplied by itself.

In the expression 10\cdot10\cdot10\cdot10\cdot10, we can see that 10 is being multiplied by itself 5 times.

So the exponent becomes 5, and the base is 10.

10^5.

Hope this helped!

7 0
3 years ago
Find the value of 1/3 divided by 1/2
Arisa [49]

When dividing two fractions, it is important to know to multiply the first fraction by the reciprocal of the second fraction.

Reciprocal means basically a flipped fraction. 2/3 as a reciprocal is 3/2, etc.

1/3 / 1/2= 1/3 x 2/1=2/3

8 0
2 years ago
Given: XZ bisects ZYXW<br> and ZYZW<br> Prove: AXYZ 2 AXWZ
Rudiy27

Answer:

Step-by-step explanation:

Top Problem:

Reason:

1. Given

2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)

3. Vertical angles are congruent

4. SAS (Side ZP≅XP Angle ZPY ≅ WPX  Side WP≅YP)

Bottom Problem

Reason:

1. Given

2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)

3. Definition of angle bisector

4. Reflexive Property ( a line segment is congruent with itself)

5. ASA (Angle Side Angle Theorem of Congruency)

5 0
2 years ago
Find all points having an x coordinate of 5 whose distance from the point (2,2) is 5.
stepan [7]

Answer:

(5,6) , (5,-2)

Step-by-step explanation:

Let the required point be P(5,y).

Its distance from (2,2) is 5 units.

So, (5-2)^{2} + (y-2)^{2} = 25.

So, 3^{2} +  (y-2)^{2} = 25.

  9 +  (y-2)^{2} = 25.

   (y-2)^{2} = 16

    Two cases are possible for now

case 1 : y-2 = 4 .

            y = 6

required point will be (5,6)

case 2 : y - 2 = -4.

              y = -2.

required point will be (5,-2).

Two points are possible : (5,6) , (5,-2).

5 0
3 years ago
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