Ask question

Ask question

All categories

2 years ago

11

Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollar

s to buy food items at the movies.
Which inequality can be used to find the possible values for d?

1 answer:

Dahasolnce [82]2 years ago

7 0

Answer:

d ≤ 30

Step-by-step explanation:

40 - 10 = 30

she will be able to spend at most 30 dollars

You might be interested in

What is 38475 x 304944 ? My teacher won't let me use a calculator!

bearhunter [10]

Answer:

1,059,680,400

Step-by-step explanation:

7 0

1 year ago

qwelly [4]

In this question it is given that

Carla earns $8.43 per hour. It means that her hourly rate is $8.43 .

And we have to find her overtime pay at time-and-a-half.

First we have to understand what time and a half means .

Time and a half means 1.5 times of the normal rate. And to find the overtime pay, we have to multiply 1.5 and normal hourly rate. That is

$=1.5*8.43 = $12.65$

Therefore correct option is a .

4 0

2 years ago

Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?

expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with $\alpha$ .

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of $\alpha$ by using arctangent:

$\alpha= arctan(\frac{opposite}{adjacent})$

In this case you can identify that:

$opposite=260\\adjacent=270$

Therefore, substuting values into $\alpha= arctan(\frac{opposite}{adjacent})$ , you get that the angle of depression is:

$\alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°$

4 0

2 years ago

A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

so

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

2 years ago

Calculate cose to two decimal places.

Monica [59]

Answer:

B. 0.69

Step-by-step explanation:

Law of Cosines: cos A = (b² + c² - a²) / 2bc

cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69

4 0

2 years ago