HELP ASAP!!!! if m ∠3 = 42, what is m ∠2? A. 42 B. 48 C. 90 D. 138

A company manufactures keyboards for desktop and laptop computers. The desktop keyboard contains 105 keys and the laptop keyboar

Luba_88 [7]

The company can produce 20 desktop keyboards and 10 laptop keyboards

Step-by-step explanation:

A company manufactures keyboards for desktop and laptop computers

The desktop keyboard contains 105 keys
The laptop keyboard has 90 keys
The company has 3000 keys
The company needs to produce twice as many desktop keyboards as laptop keyboards

We need to find how much of each type the company can produce

Assume that the company can produce x desktop keyboards and

y laptop keyboards

∵ The company can produce x desktop keyboards

∵ company can produce y laptop keyboards

∵ The desktop keyboard contains 105 keys

∵ The laptop keyboard has 90 keys

∵ The company has 3000 keys

- Write an equation to represent the total keys

∴ 105 x + 90 y = 3000 ⇒ (1)

∵ The company needs to produce twice as many desktop keyboards

as laptop keyboards

∴ x = 2 y ⇒ (2)

Substitute x in equation (1) by equation (2)

∵ 105(2 y) + 90 y = 3000

∴ 210 y + 90 y = 3000

∴ 300 y = 3000

- Divide both sides by 300

∴ y = 10

∴ The company can produce 10 laptop keyboards

Substitute the value of y in equation (2) to find the value of x

∵ x = 2(10)

∴ x = 20

∴ The company can produce 20 desktop keyboards

The company can produce 20 desktop keyboards and 10 laptop keyboards

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

3 years ago

A particular baseball player has a batting average (number of hits/number of times at bat) of 0.364. What is the probability tha

MAXImum [283]

The correct answer is option (c) P(not a hit) = 0.636

The batting average of the baseball player = $\frac{number of hits}{number of times at bat}$ = 0.364

Now, the probability of occurrence of any event is say, P, the probability of not occurrence of the event is given as = 1 - P

Therefore, the probability that he will not get a hit at his next at bat = 1- 0.364 = 0.636

6 0

2 years ago

I dont know the x of 30-2x=22

zloy xaker [14]

Answer:

4

Step-by-step explanation:

30-22=2x

8=2x

8/2=x

3 0

2 years ago

Read 2 more answers

Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of

vovangra [49]

Answer:

their down payment is 30%

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Carson needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fe

Naily [24]

Answer:

The y-intercept of the equation is 100 and represents the initial studio-use fee.

Step-by-step explanation:

In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.

Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.

P = 50(0) + 100

P = 100

Therefore the y-intercept is 100.

In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.

Hope this helped!

5 0

3 years ago