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Brrunno [24]
3 years ago
9

I need to know how to do all 4 of these problems and i'm stuck

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0
You combine all of your x and then go from there and just start to solve from one side to the other side.
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Solve the system of linear equations by substitution x=5y+2 and x-4y=5
never [62]

Answer:

(17,3)

Step-by-step explanation:

Equation 1.

x=5y+2

Equation 2.

x-4y=5

To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.

x-4y=5

(5y+2)-4y=5

y+2=5

y=3

Now that we found y, plug y into one of the equations to solve for x.

x=5y+2

x=5(3)+2

x=15+2

x=17

(17,3)

6 0
2 years ago
Find the slope of a line perpendicular to 3x + 5y = 15.
Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
Will give brainliest
Paladinen [302]

Answer:180 degrees

Step-by-step explanation:

4 0
3 years ago
HELP PLEASEEEEE<br><br><br> Combine like terms to simplify the expression:<br> 1.17-0.07a+(-3.92a)
chubhunter [2.5K]

Answer: hope this helps


Step-by-step explanation:

Simplifying

1.17 + -0.07a + (-3.92a) = 0

Combine like terms: -0.07a + (-3.92a) = -3.99a

1.17 + -3.99a = 0

Solving

1.17 + -3.99a = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1.17' to each side of the equation.

1.17 + -1.17 + -3.99a = 0 + -1.17

Combine like terms: 1.17 + -1.17 = 0.00

0.00 + -3.99a = 0 + -1.17

-3.99a = 0 + -1.17

Combine like terms: 0 + -1.17 = -1.17

-3.99a = -1.17

Divide each side by '-3.99'.

a = 0.2932330827

Simplifying

a = 0.2932330827

6 0
3 years ago
John received $300 for his birthday he buys 4 DVDs at $12.95 each. Sales tax is 6.5% how much birthday money does he have left
joja [24]

Answer: $244.83


Step-by-step explanation:

First find the original amount spent on dvds:

    $12.95 * 4 = $51.80

Then, the sales tax (6.5% is converted to decimal form by dividing by 100):

    $51.80 * 0.065 = $3.367

Add the sales tax to the original amount to get the total amount spent:

    $51.80 + $3.367 = $55.167

Round to the nearest hundredth:

    $55.167 -> $55.17

Subtract the total amount from the money received for his birthday:

    $300 - $55.17 = $244.83

4 0
3 years ago
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