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e-lub [12.9K]
3 years ago
13

Question 9 of 15 (1 point)

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

4x+10 = x-17

Subtracting 10 from both sides

4x+10-10 = x-17-10\\4x = x-27

Subtracting x from both sides

4x-x = x-x-27\\3x = -27

Dividing both sides by 3

\frac{3x}{3} = \frac{-27}{3}\\ x = -9

<u>Verification:</u>

4(-9)+10 = -9-17\\-36+10=-26\\-26=-26

The number is -9

Keywords: Linear equation, variables

Learn more about linear equation at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

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What is the simplified form of the following expression?
kogti [31]

Answer:

\sqrt{3}


Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

  • \sqrt{a*b}=\sqrt{a}* \sqrt{b}
  • \sqrt{a}*\sqrt{a}=a

<em>Let's simplify this:</em>

2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3}  \\=\sqrt{3}


First answer choice is right.

5 0
4 years ago
The senior classes at High School A and High School B planned separate trips to the indoor
Mazyrski [523]

Answer:

The number of students in each <u>van are 7</u> and number of students in each <u>bus are 23.</u>

Step-by-step explanation:

Let the number of students in each van be 'x' and number of students in each bus be 'y'.

Given:

<u>High School A:</u>

Number of students = 132

Number of buses = 3

Number of vans = 9

As per question,

9x+3y=132-------1

<u>High School B:</u>

Number of students = 205

Number of buses = 8

Number of vans = 3

As per question,

3x+8y=205-------2

Multiplying equation (2) by -3 and adding the result to equation (1), we get:

-3(3x+8y)=-3(205)\\-9x-24y=-615

-9x-24y=-615\\9x+3y=132\\---------\\-21y=-483\\y=\frac{-483}{-21}=23

Now, plug in 23 for 'y' in equation (1) and solve for 'x'. This gives,

9x+3(23)=132\\9x+69=132\\9x=132-69\\9x=63\\x=\frac{63}{9}=7

Therefore, the number of students in each van are 7 and number of students in each bus are 23

7 0
3 years ago
Darby states this generalization:
elena-s [515]

Answer:

35

Step-by-step explanation:

35 is not divisible by 3 as all the other numbers are

4 0
3 years ago
Read 2 more answers
A boy scout divided a 30 meter long rope into 5 equal pieces. How long was each in meter? ​
Andru [333]

Answer:

6 meters

Step-by-step explanation:

30 divided by 5

3 0
3 years ago
Read 2 more answers
PLEASE HELP!! WILL MARK BRAINLY
lianna [129]

Answer:

arc length = 84.82 cm

Step-by-step explanation:

arc length = 36 * 3π/4

arc length = 3π * 9

arc length = 84.82 cm

Hope this helps!

4 0
3 years ago
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