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2 years ago

Solve the equation for x

Mathematics

1 answer:

photoshop1234 [79]2 years ago

4 0

Answer:

5x-18=4x+7 ( vertical opposite angle)

5x-4x=7+18

x=25

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

Duas torneiras com um caudal, cada uma de 10 litros/min, enchem um depósito em 15 horas.

WARRIOR [948]

Answer:baybe it will be b

6 0

4 years ago

Can someone help me with this? Supposed to go off of the graph to fill in the sentence stems

Jobisdone [24]

Answer:

Step-by-step explanation:

i don't see the thing you put it just shows the question

4 0

3 years ago

The time series graph gives some information about the number of

Licemer1 [7]

Answer:

Average is less than 65, therefore, shop did not meet the target.

Step-by-step explanation:

The time series graph gives some information about the number of umbrellas sold in a shop in the first six months of 2015.

From the given graph it is clear that the number of umbrellas sold in Jan, Feb, Mar, Apr, May, June are 54, 84, 72, 94, 52, 26 respectively.

Average sales is

$Average=\dfrac{\text{Sum of number of umbrellas sold in 6 months}}{6}$

$Average=\dfrac{54+84+72+94+52+26}{6}$

$Average=\dfrac{382}{6}$

$Average=63.67$

Since, average is less than 65, therefore, shop did not meet the target.

5 0

3 years ago

Determine if the function is an even function, an odd function or neither.

Fynjy0 [20]

Answer: Option a.

Step-by-step explanation:

By definition, a functioon is even when:

$f(x)=f(-x)$

And it is odd when:

$-f(x)=f(-x)$

Therefore, you can verify if the function is even substituting -x into the function:

$f(-x)=2(-x)^{4}+2(-x)^{2}\\f(-x)=2x^{4}+2x^{2}$

Then:

$-f(x)=f(-x)$

It is an even function.

5 0

4 years ago

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