If you owe your friend $3 and you have $15, which expression would help you find out how much money you would have left?

11.3 x 3 = 28.25 please show the formula

Verizon [17]

65.98 because of it I have no clue how much you want me and you to get me some of my stuff I need you I know I have a good idea of that but I’m still in a little while

4 0

3 years ago

3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|

son4ous [18]

Answer:

$y=\frac{5}{4}x+\frac{15}{4}$

Step-by-step explanation:

x | y

-------

1 5

5 10

9 15

13 20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1 , 5)

-( 5 , 10)

----------------

-4 -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter. I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4 +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

$y=\frac{5}{4}x+\frac{15}{4}$

4 0

3 years ago

Read 2 more answers

In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.

solmaris [256]

Answer:

1. m∠R > 90°

2. m∠S + m∠T < 90°

4. m∠R > m∠T

5. m∠R > m∠S

Step-by-step explanation:

<h3>General strategy</h3>

prove the statement starting from known facts, or
disprove the statement by finding a counterexample

Helpful fact: Recall that the Triangle Sum Theorem states that m∠R + m∠S + m∠T = 180°.

<u>Option 1. m∠R > 90°</u>

Start with m∠R > m∠S + m∠T.

Adding m∠R to both sides of the inequality...

m∠R + m∠R > m∠R + m∠S + m∠T

There are two things to note here:

The left side of this inequality is 2*m∠R
The right side of the inequality is exactly equal to the Triangle Sum Theorem expression

2* m∠R > 180°

Dividing both sides of the inequality by 2...

m∠R > 90°

So, the first option must be true.

<u>Option 2. m∠S + m∠T < 90°</u>

Start with m∠R > m∠S + m∠T.

Adding (m∠S + m∠T) to both sides of the inequality...

m∠R + (m∠S + m∠T) > m∠S + m∠T + (m∠S + m∠T)

There are two things to note here:

The left side of this inequality is exactly equal to the Triangle Sum Theorem expression
The right side of the inequality is 2*(m∠S+m∠T)

Substituting

180° > 2* (m∠S+m∠T)

Dividing both sides of the inequality by 2...

90° > m∠S+m∠T

So, the second option must be true.

<u>Option 3. m∠S = m∠T</u>

Not necessarily. While m∠S could equal m∠T, it doesn't have to.

Example 1: m∠S = m∠T = 10°; By the triangle sum Theorem, m∠R = 160°, and the angles satisfy the original inequality.

Example 2: m∠S = 15°, and m∠T = 10°; By the triangle sum Theorem, m∠R = 155°, and the angles still satisfy the original inequality.

So, option 3 does NOT have to be true.

<u>Option 4. m∠R > m∠T</u>

Start with the fact that ∠S is an angle of a triangle, so m∠S cannot be zero or negative, and thus m∠S > 0.

Add m∠T to both sides.

(m∠S) + m∠T > (0) + m∠T

m∠S + m∠T > m∠T

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠T.

So, option 4 must be true.

<u>Option 5. m∠R > m∠S</u>

Start with the fact that ∠T is an angle of a triangle, so m∠T cannot be zero or negative, and thus m∠T > 0.

Add m∠S to both sides.

m∠S + (m∠T) > m∠S + (0)

m∠S + m∠T > m∠S

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠S.

So, option 5 must be true.

<u>Option 6. m∠S > m∠T</u>

Not necessarily. While m∠S could be greater than m∠T, it doesn't have to be. (See examples 1 and 2 from option 3.)

So, option 6 does NOT have to be true.

4 0

2 years ago

What mathematical pattern can be seen in a perfect square trinomial and how is the pattern used to factor the trinomi

Shtirlitz [24]

(a ± b)² = a² ± 2ab + b² . . . . . . . (signs match)

The middle term is twice the product of the roots of the other two terms. This tells you the terms of the binomial are the square roots of the end terms.

The sign in the binomial will match the sign of the "2ab" term. The order of terms in the binomial doesn't matter. (a±b)² = (b±a)² when signs match.

8 0

4 years ago

jamie is pedaling due south a 8 mi/hr. his sister, martha, is pedaling due west at 5 mi/hr. after 2 hours, how fast are the two

pashok25 [27]

Both cyclist are moving apart at a speed of 9.434 mi/hr.

<h3>What is velocity?</h3>

Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a basic idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).

To know more about Velocity, visit;

brainly.com/question/18084516

#SPJ4

8 0

1 year ago