Graph the line y=3x

A 12-ft. ladder is leaning against a wall and makes a 77 angle with the ground. How high does the ladder reach up the wall?

Gemiola [76]

Problem explained in image i attached below

3 0

4 years ago

You are running a concession stand at a basketball game. You are selling hotdogs and sodas. Each hotdog cost $1.50 and each soda

Lubov Fominskaja [6]

Answer:

35 hotdogs

Step-by-step explanation:

You are running a concession stand at a basketball game. You are selling hotdogs and sodas.

Let the number of hot dogs be represented by x

The number of soda be represented by y

You sold a total of 87 hotdogs and sodas combined

x + y = 87

x = 87 - y

Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.

Hence we have the equation:

$1.50 × x + $0.50 × y = $78.50

1.50x + 0.50y = 78.50

Substitute 87 - y for x

1.50(87 - y) + 0.50y = 78.50

130.5 - 1.50y + 0.50y = 78.50

Collect like terms

- 1.50y + 0.50y = 78.50 - 130.50

-1.00y = -52

y = -52/-1

y = 52 sodas

How many hotdogs did you sell?

Using the equation:

x = 87 - y

x = 87 - 52

x = 35 hotdogs

Hence, you sold 35 hotdogs

6 0

3 years ago

4. The curve C, has equation y

anzhelika [568]

Answer:

find your Answer in this link below www.soloplay

3 0

3 years ago

What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce

bija089 [108]

Answer:

Total amount that Matthew's bank will receive is $10099.81.

Step-by-step explanation:

We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.

The formula for compound interest is:

$A=P(1+r)^n$

Where A = future value

P= Principal Amount

r = interest rate

and n= time

So in the question we are given:

P= $8000

r = 6% or 0.06

t = 4 (since 4 yeras compounded annually)

A= 8000*(1+0.06)^4

A= 8000*(1.06)^4

A= 10099.81

So, total amount that Matthew's bank will receive is $10099.81.

6 0

3 years ago

Biologists have found that the number of chirps some crickets make per minute is related to temperature. the relationship is ver

aalyn [17]

Answer:

It is $74.24$ degrees Fahrenheit when the crickets are chirping $150$ times a minute.

Variables $x = Chirps$ and $y = Degrees$

y-intercept $= 38.24$

slope $= 0.24$

Step-by-step explanation:

As the chirps are $124$ times per minute for $68$ degrees Fahrenheit we will consider it in $(x_1,y_1) = (124,68)$ .

Now when the chirps are $172$ times and temperature is $80$ degrees we consider it $(x_2,y_2) = (172,80)$ .

To find the slope we can use point-slope formula.

Where $m$ is the slope and $m=\frac{y_2-y_1}{x_2-x_1} =\frac{80-68}{172-124}= 0.24$

To find y-intercept we will plug out the value of slope in $y=m(x)+b$ choosing point $(x_1,y_1) = (124,68)$ .

So $b=y-m(x) =68-124(0.24) =68-29.76=38.24$

And the equation is $y=0.24(x)+b$

To calculate temperature for $150$ chirpings we have to plug $x=150$ and $b=38.24$ in our above equation which is in form of $y=m(x)+b$

$y=0.24(x)+b$

$y=0.24(150)+38.24=74.24\approx 75$ degrees Fahrenheit.

Finally we have :

Temperature $74.24$ degrees Fahrenheit.

With variables $x = Chirps$ and $y = Degrees$

y-intercept $= 38.24$ and

slope $= 0.24$

6 0

3 years ago

Graph the line y=3x​

Graph the line y=3x