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amm1812
2 years ago
9

5(2x + 1) = 50 what is x

Mathematics
1 answer:
lyudmila [28]2 years ago
7 0

Answer:

4.5

Step-by-step explanation:

multiply inside the brackets

5 × 2x = 10x, 5 × 1 = 5

10x + 5 = 50

subtract 5 on both sides (50 - 5 = 45) to give

10x = 45

divide 10 on both sides

45 ÷ 10 = 4.5, so x = 4.5

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3 years ago
1.
worty [1.4K]

The clouds are 226.68 meters above the spotlight.

Step-by-step explanation:

Step 1:

The angle measuring device is 65 meters from the spotlight and the angle of elevation from the ground to the spot of light is 74°.

So a right-angled triangle can be formed using these measurements. The angle of the triangle is 74° while the opposite side of the triangle measures x meters while the adjacent side of the triangle measures 65 meters.

We need to calculate the opposites side's length of the triangle.

Step 2:

Since we have the adjacent side's length and need to calculate the opposite side's length we use the tan of the given angle.

The opposite side of the triangle = x meters.

\tan \theta = \frac{oppositeside}{adjacentside} = \frac{x}{65}.

tan 74 = 3.487, x = 3.487(65) = 226.07.

So the spot of light is 226.07 meters above from the spotlight.

7 0
4 years ago
What is 5/7 minus 1/2 equal to in like units
WARRIOR [948]

Answer:

3/14

Step-by-step explanation:

5/7 minus 1/2 is 5/7 - 1/2

5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators

5/7 - 1/2

Step one

Find the lowest common multiple (LCM) of the denominators of each fractions

Multiples of 7

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

Multiples of 2

2 x 1 = 2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

2 x 6 = 12

2 x 7 = 14

The lowest common multiple of 2 and 7 is 14

Step 2

The LCM of 2 and 7 becomes the common denominator for both fractions.

14/7 = 2

14/2 = 7

5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14

= 3/14

8 0
3 years ago
The average of three test score if the first two scores are 78 and 82; s= third test score
Licemer1 [7]
78+82+s/3

=160+s/3
I hope this will help you
4 0
4 years ago
agent bourne transferred classified files from the cia mainframe into his flash drive. the drive has 72 megabytes on it before t
Eduardwww [97]

Answer: The speed was 4.1 MB/sec.

We first find the amount that was transferred within the first 125 seconds:

549-36.5=512.5

Now we divide this by 125, the number of seconds:

512.5/125 = 4.1

The speed of the transfer is 4.1 megabytes per second.

It took 235 seconds for the drive to be completely filled.

Step-by-step explanation:

4 0
1 year ago
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