Ask question

Ask question

All categories

3 years ago

5

Your friend is thinking of two numbers.

1 answer:

frosja888 [35]3 years ago

3 0

Answer:

2) 2x = y + 13

Step-by-step explanation:

We have to translate the given information into an equation. We don't know what the numbers are yet, so let the first number be represented by the variable x and the second number be represented by the variable y.

Start by breaking the sentence apart. "2 times the first number" gives us $2x$ . The "is" in the sentence means that $2x$ equals something, bringing us to $2x =$ . Finally, it says "13 more than the second number." 13 more would mean you have to add to the second number, represented by y, so this gives us $y + 13\\$ . Put it all together and it is $2x = y + 13\\$ .

You might be interested in

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

miss Akunina [59]

Answer:

$y> \frac{2}{3}x+3$

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ----> the y-intercept is the point (0,3)

substitute the values

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

$y> \frac{2}{3}x+3$

see the attached figure to better understand the problem

4 0

3 years ago

Read 2 more answers

In a study, a group of 10-year-old boys are fed doughnuts every morning for a week and then weighed to see how much weight they

Yakvenalex [24]

The amount of weight gained

7 0

3 years ago

Read 2 more answers

Paul paid $ 25.50 for 3 cups of hot chocolate and cups of tea. The cost of each cup of tea was 2/3 the cost of each cup of hoy c

Allushta [10]

Let the cost of one cup of hot chocolate be = x

Let the cost of one cup of hot tea be = y

Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.

Equation becomes = $3x+4y=25.50$ ...(1)

As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.

$y=\frac{2x}{3}$ .... (2)

Putting the value of y from (2) in (1)

$3x+4(\frac{2x}{3})=25.50$

= $3x+\frac{8x}{3}=25.50$

= $\frac{9x+8x}{3}=25.50$

= $17x=76.5$

x=4.5

$y=\frac{2x}{3}$

= $\frac{2*4.5}{3}$

y =3

Hence each cup of hot chocolate is $4.50

Each cup of tea is $3.

7 0

3 years ago

Complete all show all your work <br> 40÷5 (2+11)=

Ulleksa [173]

40÷5 (2+11)
8 (13)
104

8 0

3 years ago

Read 2 more answers

Sheila is building an addition to a house. The points E(- 1 1/2, -2 1/2), F(4 1/2, -2 1/2), G(4 1/2, 3 1/2), and H (9-1 1/2, 3 1

Helga [31]

Answer:

24 units

Step-by-step explanation:

8 0

2 years ago