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3 years ago

What is the solution of 9x-8=34x-12

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

4 0

Answer: x = 2/13

Step-by-step explanation:

9x-8=34x-12

Add 12 on both sides and you get

9x+4=34x

Subtract 9x from both sides and you get

4=26x

Divide 26 from both sides to get

X= 4/26

Simlify

x = 2/13

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Is (3,2) a solution of -8x-2y<6

BartSMP [9]

Answer:

yes

Step-by-step explanation:

-8x-2y<6

put in x and y and see if it is less than 6

-8(3) -2(2) <6

-24 -4 <6

-28 <6

yes

it is a solution

8 0

3 years ago

Which equation shows y=−12x+4 is in standard form? 2x + y = 8 2x−y=8 x + 2y = 8 x+2y=−8

drek231 [11]

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have:

$y=-\dfrac{1}{2}x+4$

Convert:

$y=-\dfrac{1}{2}x+4$ <em>multiply both sides by 2</em>

$2y=-x+8$ <em>add x to both sides</em>

$x+2y=8$

3 0

3 years ago

Out of 50 basketball players trying to make a team, 5 will be chosen. 36 of the 50 are seniors and the remaining players are jun

AveGali [126]

Answer: 5503680

Step-by-step explanation:

The coach wants 2 senior out of 36 so he have

C₃₆,₂ = 36!/( 36 - 2 )! = 36*35*34!/34! = 36 * 35 = 1260

possibilities

Now he also wants 3 juniors out of 14

C₁₄,₃ = 14!/ (14- 3)! = 14*13*12*11!/11! = 14*13*12 = 2184

Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore

Coach has

2184 * 1260 = 2751840 possibilities to choose from

Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total ways the team could be

2751840*2 = 5503680

6 0

2 years ago

Deposited 17 dollars,4 five dollar bills, and 6 twenty dollar bills.what was jared total deposit

Annette [7]

So, he deposited 17 dollars, ( 4 ) 5 dollar bills, and 6 twenty dollar bills.

5 + 5 + 5 + 5 = 20

20 x 6 = 120

120 + 20 = 140

140 + 17 = 157

He deposited a total of <u>157 dollars.</u>

hope this helps!

5 0

3 years ago

The larger of two numbers is twice the smaller increased by five. Find the two numbers if three times the larger exceeds double

melomori [17]

Answer:

Larger number is 13 and Smaller number is 4.

Step-by-step explanation:

Let the larger number be x.

Also let the smaller number be y.

We need to find the two numbers.

Given:

The larger of two numbers is twice the smaller increased by five.

framing in equation form we get;

$x=2y+5$ ⇒equation 1

Also Given:

Three times the larger exceeds double the smaller by 31

$3x=2y+31$ ⇒equation 2

Now Substituting the value of x from equation 1 in equation 2 we get;

$3(2y+5) = 2y+31$

Now Using Distributive property we get;

$6y+15 = 2y +31$

Combining the like terms we get;

$6y-2y = 31-15$

Now Using Subtraction property we get;

$4y =16$

Now Using Division property we get;

$\frac{4y}{4}=\frac{16}{4}\\\\y =4$

Now Substituting value of y in equation 1 we will find the value of x.

$x=2y+5\\\\x = 2\times4+5\\\\x=8+5\\\\x=13$

Hence Larger number is 13 and Smaller number is 4.

3 0

2 years ago