I’m having a hard time tryna get the answer. Help? <br> (Y+2) times (x+4-5)

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

3x + 2x + 4 + 5x - 8

yawa3891 [41]

Answer:

the answer is 10 x − 4

5 0

3 years ago

An art dealer is trying to determine whether the age of a painting plays a significant role in its price at auction. She collect

klasskru [66]

Answer:

-0.20

Step-by-step explanation:

Given the data:

Age at auction (x) ____price sold (y)

391

51

32

84

47

104

88

43

470

51

Y:

76.9

95.4

86.3

49.3

80

57

47.8

80

70

86.9

General formula for a simple linear regression :

y = ab + c

Where ;

y = predicted variable ; a = slope / gradient

b = predictor / independent variable ; c = intercept

From the result obtained from the calculator :

y = -0.01246X + 74.65552

Correlation Coefficient is used to measure the strength of relationship between linear variables.

The regression Coefficient obtained is - 0.20

This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.

5 0

3 years ago

Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area

zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be $(\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8$ cm² {from equation (1)}