Use the substitution method to solve 3x-5y=-8 and x+2y=1

Answers

Answer 1

Answer: $\boxed{ \left \{ {{3x-5y=-8} \atop {x+2y=1}} \right.} \n \n x+2y=1\Rightarrow \boxed{x=1-2y} \n------------- \n \boxed{\left \{ {{3x-5y=-8} \atop {x=1-2y}} \right. } \n\n3(1-2y)-5y=-8 \n 3-6y-5y=-8\n\n3-11y=-8\n\n-11y=-8-3 \n \n -11y=-11y \n \n \boxed{y=1} \Rightarrow \boxed{x=-1}$

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What is the sum? 2/13 + 5/13 a. 10/169 b 7/26 c 7/13 d 10/13

Answers

$\sf(2)/(13)+(5)/(13)$

Add the numerators and keep the denominator:

$\sf(2+5)/(13)\rightarrow(7)/(13)$

I'm pretty sure it's 7/13 because u do not change the denominators when u are adding they stay the same. And 2+5 is 7 the answer is c 7/13

If a man take one and a half mins to paint a door how much doors can he paint in seven half hour

Answers

Answer:

300 doors.

Step-by-step explanation:

1.5 minutes for 1 door.

7.5 hours for 300 doors.

7.5 hours = 450 minutes.

$(450)/(1.5)=300$

In a pot worth $2.35, there are 6 quarters, 5 dimes, 5 pennies, and the rest of the coins are nickels. What is the ratio of nickels to dimes?

Answers

Answer:

6:5

Step-by-step explanation:

It is given that a pot worth $2.35 and there are 6 quarters, 5 dimes, 5 pennies, the rest of the coins are nickels.

We know that

$1 = 100 cents

1 penny = 1 cent = $0.01

1 nickel = 5 cents. = $0.05

1 dime = 10 cents. = $0.10

1 quarter = 25 cents = $0.25

The value of 6 quarters is

$6* 0.25=1.50$

The value of 5 dimes is

$5* 0.10=0.50$

The value of 5 pennies is

$5* 0.01=0.05$

Let x be the number of nickels. So, the value of x nickels is

$x* 0.05=0.05x$

Total value of 6 quarters, 5 dimes, 5 pennies, and x nickels is

$Total =1.50+0.50+0.05+0.05x$

$Total =2.05+0.05x$

It is given that the pot worth is $2.35.

$2.05+0.05x=2.35$

Subtract 2.05 from both sides.

$0.05x=0.30$

Divide both sides by 0.05.

$x=6$

The number of nickels is 5.

$(Nickel)/(Dimes)=(6)/(5)=6:5$

Therefore, the ratio of nickels to dimes is 6:5.

In a pot worth $2.35 containing 6 quarters, 5 dimes, 5 pennies, and some nickels, the ratio of nickels to dimes is 6:5.

To find the ratio of nickels to dimes, we need to determine the number of nickels and dimes in the pot. We know that there are 6 quarters, 5 dimes, and 5 pennies in the pot, which is a total of 16 coins. Therefore, the number of nickels should be the difference between the total number of coins and the sum of quarters, dimes, and pennies.

The total value of the coins in the pot is $2.35. Since 6 quarters are worth $1.50, 5 dimes are worth $0.50, and 5 pennies are worth $0.05, the remaining value should come from the nickels.

Thus, the value of the nickels is $2.35 - $1.50 - $0.50 - $0.05 = $0.30. Since each nickel is worth $0.05, the number of nickels is $0.30 ÷ $0.05 = 6.

The ratio of nickels to dimes is therefore 6:5, which means that for every 6 nickels, there are 5 dimes.

Learn more about ratios here:

brainly.com/question/32531170

#SPJ3

If √5 - x = 4,then x=
i need help on here how to solve it

Answers

Professor Dan Healy, one of my Engineering instructors back in prehistoric times, had a favorite way of showing us how to do this kind of problem ... I mean the kind that's incredibly easy, but your own fear gets in the way and convinces you that you can't handle it. Here is Prof. Healy's method.

For a few moments, call the square root of 5 by the name "cow".

cow - x = 4 . Solve this equation for 'x' :

Add 'x' to each side of the equation: cow = 4 + x

Subtract 4 from each side: cow - 4 = x

Now, we can put the real value back in place of 'cow' : √5 - 4 = x

That right there is a perfect solution. But If you absolutely need to
know the number, then grab your calculator:

√5 = 2.2361 (rounded)

x = √5 - 4 = 2.2361 - 4 = -1.7639 (rounded)

$\sqrt5-x=4\n x=\sqrt5-4$

I need help with this question! Will mark brainliest :)

Answers

Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

Determine if the following lines are parallel, perpendicular, or neither. y=x-8 x+y=-5

Answers

Answer:

To determine if two lines are parallel or perpendicular, we need to examine their slopes.

First, let's rearrange the second equation, x+y=-5, to slope-intercept form (y = mx + b):

y = -x - 5

In this form, we can see that the slope of the second line is -1.

The first equation, y=x-8, is already in slope-intercept form, y = mx + b, where the slope is 1.

Comparing the slopes, we can see that the slopes of the two lines are different. The slope of the first line is 1, and the slope of the second line is -1.

Since the slopes are not equal, the lines are not parallel.

Now, let's determine if the lines are perpendicular:

Two lines are perpendicular if the product of their slopes is -1.

The slope of the first line is 1, and the slope of the second line is -1.

Since 1 * -1 = -1, the product of the slopes is -1.

Therefore, the lines y = x - 8 and x + y = -5 are perpendicular.

Step-by-step explanation:

Answer: Perpendicular

Step-by-step explanation:

Our task is to identify if these lines are parallel or not. The lines are :

$\rm{y=x-8}$
$\rm{x+y=-5}$

A good move would be to write these two equations in the same format. The easiest one is slope-intercept. Equation 1 is already in this form, but the second one isn't.

To write the second equation in slope-intercept, all we need to do is subtract x from both sides, and we get:

$\rm{y=-5-x}$

Now, switch the terms:

$\rm{y=-x-5}$

The slope of the first line is 1, and the slope of the second line is -1.

They can't be parallel, since their slopes are not the same. For them to be perpendicular, their slopes should be negative reciprocals of each other.

Is -1 the negative inverse of 1? Yes.

∴ The lines are perpendicular.

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