All categories

3 years ago

Solve the system of equations below algebraically 2x-3y=8 4x+2y= 10

1 answer:

7 0

$2x - 3y = 8 \\ 4x + 2y = 10 \\ \\ - 4x + 6y = - 16 \\ \: \: 4x + 2y = 10 \\ \\ 8y = - 6 \\ y = \frac{ - 6}{8} = \frac{ - 3}{4} \\ \\ 4x - 2( \frac{ - 3}{4} ) = 10 \\ 4x + \frac{3}{2} = 10 \\ 4x = \frac{17}{2} \\ x = \frac{17}8$

You might be interested in

Try making 100 using: 5,5,5,5,5 ?=100 Help ASAP!

DaniilM [7]

Answer:

(5+5+5+5)*5

20*5=100

4 0

3 years ago

Read 2 more answers

What is the average speed of a baseball that is thrown 90 feet in 2 seconds?

vovangra [49]

B. 45 feet/second

To find out how fast it can go in 1 second, we divide it by 2
90 divided by 2 is 45, so the average speed of a baseball that is thrown 90 feet in 2 seconds is 45 feet/second

3 0

3 years ago

Read 2 more answers

PLEASE SOMEONE HELP. I’m FAILING MATH . WILL NAME BRAINLIEST AND ITS WORTH 30 points!!

weqwewe [10]

I don’t really understand this put a person with genius role is answering so i hope you get your answer! goodluck

8 0

3 years ago

Read 2 more answers

What is the value of x? Enter your answer in the box. x =

galina1969 [7]

The answer is: " 11 " .
____________________________________________________
→ " x = 11 " .
____________________________________________________
Explanation:
____________________________________________________
Set up the ratio/ proportion as a fraction:

6 cm / 48 cm = 5 cm / (3x + 7) ;

→ The "cm" units cancel out; since: "cm/cm = 1 " ;

→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) = " 1/8 " ;

→ Rewrite as: $\frac{1}{8} = \frac{5}{3x + 7}$ ;

Now, we can "cross-multiply" :
__________________________________________________

Note: $Given: \frac{a}{b} = \frac{c}{d}$ ; $ad = bc$ ;
{b $\neq 0$ ; d $\neq 0$ } .
__________________________________________________

As such:

1 * (3x + 7) = 8 * 5 ;

→ 3x + 7 = 40 ;

Subtract "7" from each side of the equation:

→ 3x + 7 − 7 = 40 − 7 ;

to get:

→ 3x = 33 ;

Now, divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 3x / 3 = 33 / 3 ;

to get:
____________________________________________________

→ " x = 11 " .
____________________________________________________
→ The answer is: " 11 " .
____________________________________________________

4 0

3 years ago

Read 2 more answers

Suppose planet A's diameter is approximately 8 times planet B's and both bodies are spheres. What is the ratio of their volumes?

lana [24]

Answer:

The ratio of planet B's volume to planet A's volume is 1:512 or 1/512

Step-by-step explanation:

Volume of sphere = 4/3 π r^3

r = d/2

Radius of palnet A = 8/2 = 4

Radius of planet B = 1/2

Since 4/3 π is same in both volumes so, they cancel out when finding ratio.

Now ratio depends on radius cube of both planets

Volume of Planet B : Volume of Planet A

4/3 π(1/2)^3 : 4/3 π(4)^3

Cancelling 4/3 π on both sides

1/8 : 64

Multiply 8 on both sides

1 : 512

So, The ratio of planet B's volume to planet A's volume is 1:512 or 1/512

6 0

3 years ago