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Artyom0805 [142]
2 years ago
9

Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?

Mathematics
1 answer:
diamong [38]2 years ago
6 0

Answer:

x=19

Step-by-step explanation:

2(x+6)=3(x-4)+5

2x+2*6=3x-3*4+5

2x+12=3x-12+5

12+12-5=3x-2x

19=x

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Solve with Quadratics
leonid [27]

Answer:

x = 1 ± \sqrt{6}

Step-by-step explanation:

Given

2x² - 4x = 10 ( divide through by 2 )

x² - 2x = 5

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 5 + 1

(x - 1)² = 6 ( take the square root of both sides )

x - 1 = ± \sqrt{6} ( add 1 to both sides )

x = 1 ± \sqrt{6} ← exact solutions

6 0
3 years ago
aliyah had some candy to give her four children. She first took ten pieces for herself and then evenly divided the rest among he
tiny-mole [99]
Answer: 18.
if aliyah gave 2 to her 4 children, thats 4x2 which equals 8, plus the 10 she took to get 18.
8 0
3 years ago
Pleaseee helppp mmeeee!
nexus9112 [7]

Answer:

They are both 45 degrees

Step-by-step explanation:

The square in the middle means a right angle (90) and 5 and 6 are equal too so they both equal 45

6 0
2 years ago
Several students were asked how many blocks they walk from home to school each day. The results are shown in the line plot. How
serious [3.7K]

Answer:

25 students.

Step-by-step explanation:

A line plot is a simple graph that shows relationship among the values in a data using a number line.

From the line plot, each dot represents a student. While the number on the line shows the number of blocks walk each day by each student.

It can be deduced from the line plot that;

Only 1 student walks through 7 blocks, 2 walk through 5 blocks, 8 walk 4 blocks, 5 walk 3 blocks, 5 walk 2 blocks and 4 walk through 1 block to school each day.

So that;

1 + 2 + 8 + 5 + 5 + 4 = 25

Therefore, the number of students who took part in the survey is 25.

4 0
2 years ago
The population of a town has approximately doubled every 17 years since 1950. If the equation P=Po2k, where Po is the population
natka813 [3]

The population of a town has approximately doubled every 17 years since 1950.

the equation P=P_02^k where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.

When t=17 yrs

   P=2p_{0}      

for 1 year

The equation becomes

P = P_02^\frac{t}{17}                               -------------(1)

Our original equation is

P=P_02^k----------------------------------(2)

equating expression 1  and 2

P_02^\frac{t}{17}=P_{0}2^k

Cancelling P_{0}  from both sides  we get

2^\frac{t}{17}=2^{k}

t/17=k

⇒k=t/17 is the solution.






4 0
2 years ago
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