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3 years ago

What is the vaule of x

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

x = 28

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

50 + 2x + (3x-10) = 180

5x = 140

x = 28

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Which expression is the factored form of 2/3 x+4

scoundrel [369]

By expanding D it is clear that it is the factored form of 2/3x + 4

as 2/3x + 4 = 2/3x + 4*3/3

= 2/3x + (2*3)*(2/3). ( rearranging terms)

=2/3( x+ 2*3). ( taking 2*3 common)

=2/3( x + 6)

which is option D

hope it helped ^_^

5 0

3 years ago

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly s

GaryK [48]

Answer:

The bill size can be considered usual.

Step-by-step explanation:

Mean (μ) = $108.43

Standard deviation (σ) = $36.98

Now, consider the distribution to be normal distribution :

$P(Z=\frac{X-\mu}{\sigma}>\frac{a-\mu}{\sigma})=P(Z>\frac{173-108.43}{36.98})\\\\\implies P(Z>1.75)$

Now, finding values of z-score from the table. We get,

P(Z > 1.75) = 0.9599

⇒ 95.99%

So, only 4.01 % of the people in the city wastes water.

Hence, the bill size can be considered usual.

6 0

3 years ago

Read 2 more answers

The volume of this prism is 4375cm3. The area of the cross-section is 125cm2. Work out x

fomenos

Answer:

x is 35 cm

Step-by-step explanation:

To find the value of x, we will divide the volume by the cross-section

Mathematically, that will be;

4375/125 = 35 cm

5 0

3 years ago

PLEASE HELP

kolbaska11 [484]

Answer:

a) P(x) = 32000*1.04^x
b) $37435
c) During year 7

Step-by-step explanation:

Given

Initial pay = $32000
Increase rate = 4%

a. Formula

P(x) = 32000*1.04^x

b. Year 5 is after 4 years, so we are looking for the value of P(4)

P(4) = $32000*1.04^4 = $37435

c. P(x) = 40000, x = ?

40000 = 32000*1.04^x
1.04^x = 40000/32000
1.04^x = 1.25
log 1.04^x = log 1.25
x = log 1.25 / log 1.04
x = 5.69, this is 6 years after

The required number of the years is 6 + 1 = 7

3 0

3 years ago

Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2

disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

$x + y = 19\\0.25x + 0.30y = 5.10$

From the first equation we have to:

$x = 19-y$

replacing in the second equation:

$0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7$

So, Carl bought 7 Gala apples

On the other hand:

$x = 19-7 = 12$

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

8 0

3 years ago

What is the vaule of x​

What is the vaule of x